kilobytes = 151.956731941699
q = 3
m = 7
n = 2126
s = 0
t = 34
u = 68
k = 1650
w = 51
ciphertext = [0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1]
recovered_plaintext_using_secret_key = True
pubkeycol476 = [1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0]
pubkeycol477 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0]
pubkeycol478 = [2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0]
pubkeycol479 = [0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2]
pubkeycol480 = [0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1]
pubkeycol481 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1]
pubkeycol482 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1]
pubkeycol483 = [2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2]
pubkeycol484 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1]
pubkeycol485 = [0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0]
pubkeycol486 = [2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0]
pubkeycol487 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0]
pubkeycol488 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0]
pubkeycol489 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2]
pubkeycol490 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0]
pubkeycol491 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2]
pubkeycol492 = [0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0]
pubkeycol493 = [0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1]
pubkeycol494 = [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0]
pubkeycol495 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2]
pubkeycol496 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1]
pubkeycol497 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1]
pubkeycol498 = [1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0]
pubkeycol499 = [1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2]
pubkeycol500 = [2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2]
pubkeycol501 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1]
pubkeycol502 = [2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0]
pubkeycol503 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1]
pubkeycol504 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0]
pubkeycol505 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1]
pubkeycol506 = [0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0]
pubkeycol507 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0]
pubkeycol508 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2]
pubkeycol509 = [1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1]
pubkeycol510 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2]
pubkeycol511 = [2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2]
pubkeycol512 = [1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2]
pubkeycol513 = [2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1]
pubkeycol514 = [2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2]
pubkeycol515 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2]
pubkeycol516 = [0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0]
pubkeycol517 = [0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0]
pubkeycol518 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1]
pubkeycol519 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2]
pubkeycol520 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0]
pubkeycol521 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol522 = [0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1]
pubkeycol523 = [2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1]
pubkeycol524 = [2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0]
pubkeycol525 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2]
pubkeycol526 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1]
pubkeycol527 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1]
pubkeycol528 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2]
pubkeycol529 = [1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2]
pubkeycol530 = [2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0]
pubkeycol531 = [2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1]
pubkeycol532 = [0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1]
pubkeycol533 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1]
pubkeycol534 = [2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0]
pubkeycol535 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0]
pubkeycol536 = [2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1]
pubkeycol537 = [1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1]
pubkeycol538 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1]
pubkeycol539 = [1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1]
pubkeycol540 = [2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1]
pubkeycol541 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0]
pubkeycol542 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1]
pubkeycol543 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0]
pubkeycol544 = [1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2]
pubkeycol545 = [0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2]
pubkeycol546 = [2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2]
pubkeycol547 = [1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1]
pubkeycol548 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1]
pubkeycol549 = [0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2]
pubkeycol550 = [0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2]
pubkeycol551 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0]
pubkeycol552 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2]
pubkeycol553 = [0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0]
pubkeycol554 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0]
pubkeycol555 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2]
pubkeycol556 = [0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2]
pubkeycol557 = [1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1]
pubkeycol558 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0]
pubkeycol559 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0]
pubkeycol560 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1]
pubkeycol561 = [2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0]
pubkeycol562 = [2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2]
pubkeycol563 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0]
pubkeycol564 = [0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0]
pubkeycol565 = [0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0]
pubkeycol566 = [2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0]
pubkeycol567 = [2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2]
pubkeycol568 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2]
pubkeycol569 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2]
pubkeycol570 = [1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1]
pubkeycol571 = [1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1]
pubkeycol572 = [2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1]
pubkeycol573 = [0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1]
pubkeycol574 = [0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2]
pubkeycol575 = [0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2]
pubkeycol576 = [0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1]
pubkeycol577 = [0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1]
pubkeycol578 = [0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1]
pubkeycol579 = [1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0]
pubkeycol580 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1]
pubkeycol581 = [2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0]
pubkeycol582 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0]
pubkeycol583 = [2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2]
pubkeycol584 = [1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1]
pubkeycol585 = [2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2]
pubkeycol586 = [2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0]
pubkeycol587 = [2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1]
pubkeycol588 = [1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0]
pubkeycol589 = [1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2]
pubkeycol590 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2]
pubkeycol591 = [1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2]
pubkeycol592 = [1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2]
pubkeycol593 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0]
pubkeycol594 = [1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1]
pubkeycol595 = [2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1]
pubkeycol596 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1]
pubkeycol597 = [2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0]
pubkeycol598 = [0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0]
pubkeycol599 = [1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0]
pubkeycol600 = [1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1]
pubkeycol601 = [0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2]
pubkeycol602 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1]
pubkeycol603 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2]
pubkeycol604 = [0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1]
pubkeycol605 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0]
pubkeycol606 = [0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2]
pubkeycol607 = [1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2]
pubkeycol608 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1]
pubkeycol609 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0]
pubkeycol610 = [2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1]
pubkeycol611 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2]
pubkeycol612 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2]
pubkeycol613 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1]
pubkeycol614 = [1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0]
pubkeycol615 = [0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1]
pubkeycol616 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0]
pubkeycol617 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0]
pubkeycol618 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2]
pubkeycol619 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0]
pubkeycol620 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1]
pubkeycol621 = [1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0]
pubkeycol622 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0]
pubkeycol623 = [0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1]
pubkeycol624 = [0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0]
pubkeycol625 = [0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2]
pubkeycol626 = [2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0]
pubkeycol627 = [2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2]
pubkeycol628 = [0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2]
pubkeycol629 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1]
pubkeycol630 = [0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2]
pubkeycol631 = [0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0]
pubkeycol632 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1]
pubkeycol633 = [1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0]
pubkeycol634 = [2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2]
pubkeycol635 = [2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1]
pubkeycol636 = [1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2]
pubkeycol637 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0]
pubkeycol638 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1]
pubkeycol639 = [2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1]
pubkeycol640 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1]
pubkeycol641 = [0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0]
pubkeycol642 = [0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1]
pubkeycol643 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2]
pubkeycol644 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0]
pubkeycol645 = [0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0]
pubkeycol646 = [2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2]
pubkeycol647 = [2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2]
pubkeycol648 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1]
pubkeycol649 = [1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2]
pubkeycol650 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1]
pubkeycol651 = [1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1]
pubkeycol652 = [1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2]
pubkeycol653 = [1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0]
pubkeycol654 = [0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1]
pubkeycol655 = [0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1]
pubkeycol656 = [1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0]
pubkeycol657 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2]
pubkeycol658 = [0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1]
pubkeycol659 = [0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1]
pubkeycol660 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2]
pubkeycol661 = [1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2]
pubkeycol662 = [1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0]
pubkeycol663 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1]
pubkeycol664 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0]
pubkeycol665 = [0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1]
pubkeycol666 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2]
pubkeycol667 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2]
pubkeycol668 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0]
pubkeycol669 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0]
pubkeycol670 = [2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2]
pubkeycol671 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1]
pubkeycol672 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2]
pubkeycol673 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0]
pubkeycol674 = [1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2]
pubkeycol675 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2]
pubkeycol676 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0]
pubkeycol677 = [2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1]
pubkeycol678 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2]
pubkeycol679 = [1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2]
pubkeycol680 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2]
pubkeycol681 = [2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0]
pubkeycol682 = [2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0]
pubkeycol683 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0]
pubkeycol684 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0]
pubkeycol685 = [2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0]
pubkeycol686 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0]
pubkeycol687 = [2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0]
pubkeycol688 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0]
pubkeycol689 = [1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1]
pubkeycol690 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1]
pubkeycol691 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2]
pubkeycol692 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0]
pubkeycol693 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0]
pubkeycol694 = [0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2]
pubkeycol695 = [2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1]
pubkeycol696 = [0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1]
pubkeycol697 = [1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2]
pubkeycol698 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0]
pubkeycol699 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1]
pubkeycol700 = [0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0]
pubkeycol701 = [2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0]
pubkeycol702 = [1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1]
pubkeycol703 = [2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1]
pubkeycol704 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0]
pubkeycol705 = [2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0]
pubkeycol706 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0]
pubkeycol707 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0]
pubkeycol708 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0]
pubkeycol709 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2]
pubkeycol710 = [2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0]
pubkeycol711 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1]
pubkeycol712 = [0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2]
pubkeycol713 = [1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2]
pubkeycol714 = [1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0]
pubkeycol715 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2]
pubkeycol716 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2]
pubkeycol717 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2]
pubkeycol718 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0]
pubkeycol719 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2]
pubkeycol720 = [0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0]
pubkeycol721 = [2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1]
pubkeycol722 = [0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2]
pubkeycol723 = [1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1]
pubkeycol724 = [0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2]
pubkeycol725 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0]
pubkeycol726 = [2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1]
pubkeycol727 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1]
pubkeycol728 = [0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1]
pubkeycol729 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1]
pubkeycol730 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2]
pubkeycol731 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1]
pubkeycol732 = [1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2]
pubkeycol733 = [1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1]
pubkeycol734 = [1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1]
pubkeycol735 = [2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2]
pubkeycol736 = [1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1]
pubkeycol737 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2]
pubkeycol738 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2]
pubkeycol739 = [2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0]
pubkeycol740 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1]
pubkeycol741 = [1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1]
pubkeycol742 = [2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0]
pubkeycol743 = [2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1]
pubkeycol744 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0]
pubkeycol745 = [0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0]
pubkeycol746 = [0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1]
pubkeycol747 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2]
pubkeycol748 = [0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1]
pubkeycol749 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2]
pubkeycol750 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1]
pubkeycol751 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0]
pubkeycol752 = [2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0]
pubkeycol753 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0]
pubkeycol754 = [2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0]
pubkeycol755 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1]
pubkeycol756 = [0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0]
pubkeycol757 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1]
pubkeycol758 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1]
pubkeycol759 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2]
pubkeycol760 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2]
pubkeycol761 = [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1]
pubkeycol762 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1]
pubkeycol763 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0]
pubkeycol764 = [0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1]
pubkeycol765 = [2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2]
pubkeycol766 = [1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2]
pubkeycol767 = [2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0]
pubkeycol768 = [2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1]
pubkeycol769 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2]
pubkeycol770 = [2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0]
pubkeycol771 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1]
pubkeycol772 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0]
pubkeycol773 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2]
pubkeycol774 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0]
pubkeycol775 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0]
pubkeycol776 = [1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2]
pubkeycol777 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1]
pubkeycol778 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1]
pubkeycol779 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0]
pubkeycol780 = [2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1]
pubkeycol781 = [0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2]
pubkeycol782 = [1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1]
pubkeycol783 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1]
pubkeycol784 = [1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1]
pubkeycol785 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1]
pubkeycol786 = [0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0]
pubkeycol787 = [0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1]
pubkeycol788 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0]
pubkeycol789 = [1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2]
pubkeycol790 = [0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0]
pubkeycol791 = [2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1]
pubkeycol792 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0]
pubkeycol793 = [1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1]
pubkeycol794 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1]
pubkeycol795 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1]
pubkeycol796 = [1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2]
pubkeycol797 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2]
pubkeycol798 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2]
pubkeycol799 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1]
pubkeycol800 = [0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2]
pubkeycol801 = [2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2]
pubkeycol802 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2]
pubkeycol803 = [2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0]
pubkeycol804 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0]
pubkeycol805 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0]
pubkeycol806 = [0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0]
pubkeycol807 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0]
pubkeycol808 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0]
pubkeycol809 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2]
pubkeycol810 = [0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0]
pubkeycol811 = [2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0]
pubkeycol812 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2]
pubkeycol813 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0]
pubkeycol814 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0]
pubkeycol815 = [2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0]
pubkeycol816 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2]
pubkeycol817 = [0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1]
pubkeycol818 = [0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1]
pubkeycol819 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0]
pubkeycol820 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2]
pubkeycol821 = [1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1]
pubkeycol822 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0]
pubkeycol823 = [2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2]
pubkeycol824 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0]
pubkeycol825 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0]
pubkeycol826 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2]
pubkeycol827 = [1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1]
pubkeycol828 = [2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0]
pubkeycol829 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0]
pubkeycol830 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1]
pubkeycol831 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0]
pubkeycol832 = [2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1]
pubkeycol833 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0]
pubkeycol834 = [0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2]
pubkeycol835 = [2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0]
pubkeycol836 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2]
pubkeycol837 = [0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0]
pubkeycol838 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2]
pubkeycol839 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0]
pubkeycol840 = [1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2]
pubkeycol841 = [1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1]
pubkeycol842 = [2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0]
pubkeycol843 = [0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1]
pubkeycol844 = [2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0]
pubkeycol845 = [1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1]
pubkeycol846 = [0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2]
pubkeycol847 = [1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2]
pubkeycol848 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2]
pubkeycol849 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0]
pubkeycol850 = [1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0]
pubkeycol851 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1]
pubkeycol852 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1]
pubkeycol853 = [0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1]
pubkeycol854 = [1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2]
pubkeycol855 = [0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1]
pubkeycol856 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2]
pubkeycol857 = [2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2]
pubkeycol858 = [0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0]
pubkeycol859 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0]
pubkeycol860 = [2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2]
pubkeycol861 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1]
pubkeycol862 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2]
pubkeycol863 = [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1]
pubkeycol864 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2]
pubkeycol865 = [0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1]
pubkeycol866 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1]
pubkeycol867 = [0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0]
pubkeycol868 = [0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0]
pubkeycol869 = [1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1]
pubkeycol870 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2]
pubkeycol871 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0]
pubkeycol872 = [2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0]
pubkeycol873 = [1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0]
pubkeycol874 = [0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1]
pubkeycol875 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2]
pubkeycol876 = [2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1]
pubkeycol877 = [2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0]
pubkeycol878 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2]
pubkeycol879 = [0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0]
pubkeycol880 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0]
pubkeycol881 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0]
pubkeycol882 = [1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0]
pubkeycol883 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1]
pubkeycol884 = [2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0]
pubkeycol885 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1]
pubkeycol886 = [2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0]
pubkeycol887 = [1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2]
pubkeycol888 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0]
pubkeycol889 = [2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0]
pubkeycol890 = [2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2]
pubkeycol891 = [1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0]
pubkeycol892 = [1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2]
pubkeycol893 = [2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1]
pubkeycol894 = [1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0]
pubkeycol895 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0]
pubkeycol896 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1]
pubkeycol897 = [2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1]
pubkeycol898 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0]
pubkeycol899 = [0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0]
pubkeycol900 = [0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1]
pubkeycol901 = [1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1]
pubkeycol902 = [0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0]
pubkeycol903 = [1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2]
pubkeycol904 = [1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1]
pubkeycol905 = [1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0]
pubkeycol906 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1]
pubkeycol907 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0]
pubkeycol908 = [1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0]
pubkeycol909 = [2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2]
pubkeycol910 = [1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2]
pubkeycol911 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]
pubkeycol912 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0]
pubkeycol913 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0]
pubkeycol914 = [2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0]
pubkeycol915 = [1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0]
pubkeycol916 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2]
pubkeycol917 = [2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0]
pubkeycol918 = [1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1]
pubkeycol919 = [0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1]
pubkeycol920 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0]
pubkeycol921 = [0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2]
pubkeycol922 = [2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2]
pubkeycol923 = [2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1]
pubkeycol924 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0]
pubkeycol925 = [2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0]
pubkeycol926 = [2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0]
pubkeycol927 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1]
pubkeycol928 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0]
pubkeycol929 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0]
pubkeycol930 = [1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0]
pubkeycol931 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2]
pubkeycol932 = [1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2]
pubkeycol933 = [0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2]
pubkeycol934 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0]
pubkeycol935 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2]
pubkeycol936 = [0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2]
pubkeycol937 = [1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0]
pubkeycol938 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0]
pubkeycol939 = [1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0]
pubkeycol940 = [0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0]
pubkeycol941 = [0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0]
pubkeycol942 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1]
pubkeycol943 = [1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1]
pubkeycol944 = [0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0]
pubkeycol945 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1]
pubkeycol946 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2]
pubkeycol947 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2]
pubkeycol948 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1]
pubkeycol949 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0]
pubkeycol950 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2]
pubkeycol951 = [0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2]
pubkeycol952 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0]
pubkeycol953 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1]
pubkeycol954 = [0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2]
pubkeycol955 = [0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2]
pubkeycol956 = [0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1]
pubkeycol957 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0]
pubkeycol958 = [1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2]
pubkeycol959 = [2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2]
pubkeycol960 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1]
pubkeycol961 = [1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1]
pubkeycol962 = [2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0]
pubkeycol963 = [0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2]
pubkeycol964 = [0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]
pubkeycol965 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0]
pubkeycol966 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2]
pubkeycol967 = [1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2]
pubkeycol968 = [0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0]
pubkeycol969 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0]
pubkeycol970 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0]
pubkeycol971 = [1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0]
pubkeycol972 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1]
pubkeycol973 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol974 = [1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1]
pubkeycol975 = [2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2]
pubkeycol976 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1]
pubkeycol977 = [0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1]
pubkeycol978 = [1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2]
pubkeycol979 = [1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2]
pubkeycol980 = [2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2]
pubkeycol981 = [0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0]
pubkeycol982 = [0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0]
pubkeycol983 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0]
pubkeycol984 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2]
pubkeycol985 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2]
pubkeycol986 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1]
pubkeycol987 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1]
pubkeycol988 = [2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0]
pubkeycol989 = [1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol990 = [0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1]
pubkeycol991 = [1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1]
pubkeycol992 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0]
pubkeycol993 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2]
pubkeycol994 = [0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2]
pubkeycol995 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2]
pubkeycol996 = [2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0]
pubkeycol997 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1]
pubkeycol998 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0]
pubkeycol999 = [0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2]
pubkeycol1000 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0]
pubkeycol1001 = [2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0]
pubkeycol1002 = [2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2]
pubkeycol1003 = [1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2]
pubkeycol1004 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0]
pubkeycol1005 = [0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2]
pubkeycol1006 = [0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0]
pubkeycol1007 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0]
pubkeycol1008 = [1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0]
pubkeycol1009 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2]
pubkeycol1010 = [1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1]
pubkeycol1011 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0]
pubkeycol1012 = [1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0]
pubkeycol1013 = [2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2]
pubkeycol1014 = [1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1]
pubkeycol1015 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2]
pubkeycol1016 = [2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0]
pubkeycol1017 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0]
pubkeycol1018 = [0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1]
pubkeycol1019 = [0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0]
pubkeycol1020 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0]
pubkeycol1021 = [1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1022 = [1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1023 = [2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1]
pubkeycol1024 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0]
pubkeycol1025 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0]
pubkeycol1026 = [1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1]
pubkeycol1027 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1]
pubkeycol1028 = [2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1]
pubkeycol1029 = [1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0]
pubkeycol1030 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1]
pubkeycol1031 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2]
pubkeycol1032 = [0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1]
pubkeycol1033 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0]
pubkeycol1034 = [1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1]
pubkeycol1035 = [2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1]
pubkeycol1036 = [0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0]
pubkeycol1037 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2]
pubkeycol1038 = [0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2]
pubkeycol1039 = [2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2]
pubkeycol1040 = [2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1]
pubkeycol1041 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2]
pubkeycol1042 = [2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1]
pubkeycol1043 = [1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1]
pubkeycol1044 = [0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1]
pubkeycol1045 = [1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2]
pubkeycol1046 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0]
pubkeycol1047 = [1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2]
pubkeycol1048 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1]
pubkeycol1049 = [1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0]
pubkeycol1050 = [0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0]
pubkeycol1051 = [2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1]
pubkeycol1052 = [2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2]
pubkeycol1053 = [0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1]
pubkeycol1054 = [2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0]
pubkeycol1055 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1]
pubkeycol1056 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1]
pubkeycol1057 = [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2]
pubkeycol1058 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1]
pubkeycol1059 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2]
pubkeycol1060 = [1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1]
pubkeycol1061 = [0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0]
pubkeycol1062 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2]
pubkeycol1063 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2]
pubkeycol1064 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2]
pubkeycol1065 = [0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol1066 = [0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1]
pubkeycol1067 = [2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0]
pubkeycol1068 = [1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1]
pubkeycol1069 = [1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0]
pubkeycol1070 = [0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2]
pubkeycol1071 = [1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0]
pubkeycol1072 = [1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0]
pubkeycol1073 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0]
pubkeycol1074 = [0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1]
pubkeycol1075 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1]
pubkeycol1076 = [1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2]
pubkeycol1077 = [1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1]
pubkeycol1078 = [0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1]
pubkeycol1079 = [1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1]
pubkeycol1080 = [0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1]
pubkeycol1081 = [1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1]
pubkeycol1082 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0]
pubkeycol1083 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0]
pubkeycol1084 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0]
pubkeycol1085 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0]
pubkeycol1086 = [1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1]
pubkeycol1087 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2]
pubkeycol1088 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1]
pubkeycol1089 = [1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0]
pubkeycol1090 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1]
pubkeycol1091 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1]
pubkeycol1092 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0]
pubkeycol1093 = [1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2]
pubkeycol1094 = [0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2]
pubkeycol1095 = [0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0]
pubkeycol1096 = [1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1]
pubkeycol1097 = [2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1]
pubkeycol1098 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2]
pubkeycol1099 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2]
pubkeycol1100 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0]
pubkeycol1101 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2]
pubkeycol1102 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1103 = [0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2]
pubkeycol1104 = [0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1]
pubkeycol1105 = [0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1]
pubkeycol1106 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0]
pubkeycol1107 = [1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0]
pubkeycol1108 = [0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0]
pubkeycol1109 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1]
pubkeycol1110 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1]
pubkeycol1111 = [0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0]
pubkeycol1112 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0]
pubkeycol1113 = [2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0]
pubkeycol1114 = [0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0]
pubkeycol1115 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]
pubkeycol1116 = [0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0]
pubkeycol1117 = [1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2]
pubkeycol1118 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1]
pubkeycol1119 = [0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0]
pubkeycol1120 = [0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1]
pubkeycol1121 = [2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1]
pubkeycol1122 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1]
pubkeycol1123 = [2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2]
pubkeycol1124 = [2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1125 = [1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0]
pubkeycol1126 = [1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0]
pubkeycol1127 = [1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2]
pubkeycol1128 = [2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1]
pubkeycol1129 = [1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0]
pubkeycol1130 = [2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1]
pubkeycol1131 = [0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2]
pubkeycol1132 = [0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0]
pubkeycol1133 = [1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1]
pubkeycol1134 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1]
pubkeycol1135 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2]
pubkeycol1136 = [0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1]
pubkeycol1137 = [0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0]
pubkeycol1138 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2]
pubkeycol1139 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2]
pubkeycol1140 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0]
pubkeycol1141 = [1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2]
pubkeycol1142 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1]
pubkeycol1143 = [0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1]
pubkeycol1144 = [2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0]
pubkeycol1145 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0]
pubkeycol1146 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1]
pubkeycol1147 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0]
pubkeycol1148 = [2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2]
pubkeycol1149 = [0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1]
pubkeycol1150 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2]
pubkeycol1151 = [2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0]
pubkeycol1152 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2]
pubkeycol1153 = [1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0]
pubkeycol1154 = [0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1]
pubkeycol1155 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1]
pubkeycol1156 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0]
pubkeycol1157 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2]
pubkeycol1158 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1]
pubkeycol1159 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0]
pubkeycol1160 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2]
pubkeycol1161 = [1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0]
pubkeycol1162 = [0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1]
pubkeycol1163 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0]
pubkeycol1164 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1]
pubkeycol1165 = [1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2]
pubkeycol1166 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0]
pubkeycol1167 = [0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2]
pubkeycol1168 = [1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1]
pubkeycol1169 = [2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0]
pubkeycol1170 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1]
pubkeycol1171 = [2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1]
pubkeycol1172 = [0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0]
pubkeycol1173 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2]
pubkeycol1174 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0]
pubkeycol1175 = [0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1]
pubkeycol1176 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0]
pubkeycol1177 = [1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2]
pubkeycol1178 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2]
pubkeycol1179 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0]
pubkeycol1180 = [2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1]
pubkeycol1181 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0]
pubkeycol1182 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1]
pubkeycol1183 = [1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2]
pubkeycol1184 = [1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1]
pubkeycol1185 = [2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0]
pubkeycol1186 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0]
pubkeycol1187 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1]
pubkeycol1188 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1]
pubkeycol1189 = [1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0]
pubkeycol1190 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2]
pubkeycol1191 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1]
pubkeycol1192 = [2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1]
pubkeycol1193 = [2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1]
pubkeycol1194 = [0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0]
pubkeycol1195 = [0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2]
pubkeycol1196 = [0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1]
pubkeycol1197 = [2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1]
pubkeycol1198 = [0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2]
pubkeycol1199 = [1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0]
pubkeycol1200 = [1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0]
pubkeycol1201 = [1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1]
pubkeycol1202 = [1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2]
pubkeycol1203 = [2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0]
pubkeycol1204 = [0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0]
pubkeycol1205 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2]
pubkeycol1206 = [1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1]
pubkeycol1207 = [0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2]
pubkeycol1208 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0]
pubkeycol1209 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0]
pubkeycol1210 = [1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2]
pubkeycol1211 = [2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0]
pubkeycol1212 = [2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0]
pubkeycol1213 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1]
pubkeycol1214 = [1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0]
pubkeycol1215 = [1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1]
pubkeycol1216 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1]
pubkeycol1217 = [1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0]
pubkeycol1218 = [1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1]
pubkeycol1219 = [1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2]
pubkeycol1220 = [0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2]
pubkeycol1221 = [1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0]
pubkeycol1222 = [0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2]
pubkeycol1223 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0]
pubkeycol1224 = [1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0]
pubkeycol1225 = [1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2]
pubkeycol1226 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2]
pubkeycol1227 = [1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2]
pubkeycol1228 = [0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2]
pubkeycol1229 = [2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1]
pubkeycol1230 = [2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1231 = [0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2]
pubkeycol1232 = [1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0]
pubkeycol1233 = [1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0]
pubkeycol1234 = [0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2]
pubkeycol1235 = [1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2]
pubkeycol1236 = [2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0]
pubkeycol1237 = [1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2]
pubkeycol1238 = [2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0]
pubkeycol1239 = [2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1]
pubkeycol1240 = [1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0]
pubkeycol1241 = [0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1]
pubkeycol1242 = [1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1]
pubkeycol1243 = [2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0]
pubkeycol1244 = [1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1]
pubkeycol1245 = [1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1246 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1]
pubkeycol1247 = [2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1]
pubkeycol1248 = [2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2]
pubkeycol1249 = [2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1]
pubkeycol1250 = [1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2]
pubkeycol1251 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2]
pubkeycol1252 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0]
pubkeycol1253 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2]
pubkeycol1254 = [0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2]
pubkeycol1255 = [1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2]
pubkeycol1256 = [0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2]
pubkeycol1257 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0]
pubkeycol1258 = [1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2]
pubkeycol1259 = [2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0]
pubkeycol1260 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1]
pubkeycol1261 = [0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2]
pubkeycol1262 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0]
pubkeycol1263 = [0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1]
pubkeycol1264 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1]
pubkeycol1265 = [1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1]
pubkeycol1266 = [1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2]
pubkeycol1267 = [2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1]
pubkeycol1268 = [0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2]
pubkeycol1269 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2]
pubkeycol1270 = [2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0]
pubkeycol1271 = [0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1]
pubkeycol1272 = [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1]
pubkeycol1273 = [0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0]
pubkeycol1274 = [2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2]
pubkeycol1275 = [0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0]
pubkeycol1276 = [1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0]
pubkeycol1277 = [0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2]
pubkeycol1278 = [0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1]
pubkeycol1279 = [2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2]
pubkeycol1280 = [1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1]
pubkeycol1281 = [2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0]
pubkeycol1282 = [0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1]
pubkeycol1283 = [0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0]
pubkeycol1284 = [1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1]
pubkeycol1285 = [1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0]
pubkeycol1286 = [2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1]
pubkeycol1287 = [0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1]
pubkeycol1288 = [1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2]
pubkeycol1289 = [0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1]
pubkeycol1290 = [1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0]
pubkeycol1291 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0]
pubkeycol1292 = [0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2]
pubkeycol1293 = [1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2]
pubkeycol1294 = [2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1]
pubkeycol1295 = [0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1]
pubkeycol1296 = [1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2]
pubkeycol1297 = [2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2]
pubkeycol1298 = [1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0]
pubkeycol1299 = [1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0]
pubkeycol1300 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2]
pubkeycol1301 = [1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0]
pubkeycol1302 = [1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2]
pubkeycol1303 = [0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0]
pubkeycol1304 = [2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0]
pubkeycol1305 = [2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0]
pubkeycol1306 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1307 = [2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0]
pubkeycol1308 = [0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0]
pubkeycol1309 = [0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0]
pubkeycol1310 = [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1]
pubkeycol1311 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0]
pubkeycol1312 = [2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1]
pubkeycol1313 = [2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1]
pubkeycol1314 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1]
pubkeycol1315 = [2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0]
pubkeycol1316 = [1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0]
pubkeycol1317 = [1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0]
pubkeycol1318 = [2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2]
pubkeycol1319 = [2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1]
pubkeycol1320 = [0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0]
pubkeycol1321 = [2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1]
pubkeycol1322 = [1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1]
pubkeycol1323 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1]
pubkeycol1324 = [0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2]
pubkeycol1325 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0]
pubkeycol1326 = [2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2]
pubkeycol1327 = [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1]
pubkeycol1328 = [2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1]
pubkeycol1329 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0]
pubkeycol1330 = [1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0]
pubkeycol1331 = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2]
pubkeycol1332 = [2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1]
pubkeycol1333 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2]
pubkeycol1334 = [1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0]
pubkeycol1335 = [1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1]
pubkeycol1336 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2]
pubkeycol1337 = [1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2]
pubkeycol1338 = [2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0]
pubkeycol1339 = [2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1]
pubkeycol1340 = [0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2]
pubkeycol1341 = [0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1]
pubkeycol1342 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1]
pubkeycol1343 = [1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1]
pubkeycol1344 = [0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1]
pubkeycol1345 = [1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol1346 = [1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2]
pubkeycol1347 = [2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1]
pubkeycol1348 = [2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0]
pubkeycol1349 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2]
pubkeycol1350 = [2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1]
pubkeycol1351 = [1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0]
pubkeycol1352 = [2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1]
pubkeycol1353 = [0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0]
pubkeycol1354 = [2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0]
pubkeycol1355 = [0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1356 = [1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]
pubkeycol1357 = [0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1]
pubkeycol1358 = [0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2]
pubkeycol1359 = [1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0]
pubkeycol1360 = [2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1]
pubkeycol1361 = [1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1]
pubkeycol1362 = [1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2]
pubkeycol1363 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1]
pubkeycol1364 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0]
pubkeycol1365 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0]
pubkeycol1366 = [2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2]
pubkeycol1367 = [1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1]
pubkeycol1368 = [1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1]
pubkeycol1369 = [2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0]
pubkeycol1370 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2]
pubkeycol1371 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2]
pubkeycol1372 = [0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2]
pubkeycol1373 = [0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0]
pubkeycol1374 = [1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1]
pubkeycol1375 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1]
pubkeycol1376 = [2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0]
pubkeycol1377 = [0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1]
pubkeycol1378 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1]
pubkeycol1379 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1]
pubkeycol1380 = [1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0]
pubkeycol1381 = [2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0]
pubkeycol1382 = [0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0]
pubkeycol1383 = [0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2]
pubkeycol1384 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1]
pubkeycol1385 = [1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1]
pubkeycol1386 = [2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1]
pubkeycol1387 = [2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1]
pubkeycol1388 = [1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0]
pubkeycol1389 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2]
pubkeycol1390 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0]
pubkeycol1391 = [1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1]
pubkeycol1392 = [1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0]
pubkeycol1393 = [2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2]
pubkeycol1394 = [0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2]
pubkeycol1395 = [2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0]
pubkeycol1396 = [1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0]
pubkeycol1397 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1]
pubkeycol1398 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0]
pubkeycol1399 = [0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1]
pubkeycol1400 = [0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2]
pubkeycol1401 = [2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1]
pubkeycol1402 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1403 = [1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1]
pubkeycol1404 = [0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2]
pubkeycol1405 = [2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1]
pubkeycol1406 = [2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0]
pubkeycol1407 = [1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1]
pubkeycol1408 = [1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2]
pubkeycol1409 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0]
pubkeycol1410 = [2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2]
pubkeycol1411 = [0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0]
pubkeycol1412 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1]
pubkeycol1413 = [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1]
pubkeycol1414 = [2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1]
pubkeycol1415 = [1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2]
pubkeycol1416 = [2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0]
pubkeycol1417 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1]
pubkeycol1418 = [1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1]
pubkeycol1419 = [1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2]
pubkeycol1420 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2]
pubkeycol1421 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0]
pubkeycol1422 = [1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1]
pubkeycol1423 = [2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1]
pubkeycol1424 = [2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2]
pubkeycol1425 = [1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0]
pubkeycol1426 = [1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1]
pubkeycol1427 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1]
pubkeycol1428 = [0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1]
pubkeycol1429 = [0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1]
pubkeycol1430 = [0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1]
pubkeycol1431 = [1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1]
pubkeycol1432 = [2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2]
pubkeycol1433 = [2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1]
pubkeycol1434 = [2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1]
pubkeycol1435 = [0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0]
pubkeycol1436 = [1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1]
pubkeycol1437 = [1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1]
pubkeycol1438 = [2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1]
pubkeycol1439 = [0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0]
pubkeycol1440 = [0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1]
pubkeycol1441 = [2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2]
pubkeycol1442 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1]
pubkeycol1443 = [2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1]
pubkeycol1444 = [1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2]
pubkeycol1445 = [0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2]
pubkeycol1446 = [2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0]
pubkeycol1447 = [1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2]
pubkeycol1448 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0]
pubkeycol1449 = [0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2]
pubkeycol1450 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0]
pubkeycol1451 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0]
pubkeycol1452 = [2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2]
pubkeycol1453 = [2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1]
pubkeycol1454 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1]
pubkeycol1455 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1]
pubkeycol1456 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1]
pubkeycol1457 = [2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2]
pubkeycol1458 = [1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1]
pubkeycol1459 = [1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1]
pubkeycol1460 = [0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0]
pubkeycol1461 = [0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2]
pubkeycol1462 = [2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2]
pubkeycol1463 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2]
pubkeycol1464 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0]
pubkeycol1465 = [2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2]
pubkeycol1466 = [1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2]
pubkeycol1467 = [1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2]
pubkeycol1468 = [0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1]
pubkeycol1469 = [0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0]
pubkeycol1470 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0]
pubkeycol1471 = [0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0]
pubkeycol1472 = [1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0]
pubkeycol1473 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0]
pubkeycol1474 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1475 = [1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1]
pubkeycol1476 = [0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0]
pubkeycol1477 = [1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0]
pubkeycol1478 = [0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1]
pubkeycol1479 = [1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1]
pubkeycol1480 = [0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0]
pubkeycol1481 = [1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0]
pubkeycol1482 = [1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2]
pubkeycol1483 = [1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0]
pubkeycol1484 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2]
pubkeycol1485 = [1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
pubkeycol1486 = [0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2]
pubkeycol1487 = [2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0]
pubkeycol1488 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1]
pubkeycol1489 = [2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0]
pubkeycol1490 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0]
pubkeycol1491 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2]
pubkeycol1492 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2]
pubkeycol1493 = [1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1]
pubkeycol1494 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1]
pubkeycol1495 = [2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1]
pubkeycol1496 = [1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0]
pubkeycol1497 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1]
pubkeycol1498 = [1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0]
pubkeycol1499 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1]
pubkeycol1500 = [1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0]
pubkeycol1501 = [0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2]
pubkeycol1502 = [0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2]
pubkeycol1503 = [1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0]
pubkeycol1504 = [1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1]
pubkeycol1505 = [0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0]
pubkeycol1506 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1]
pubkeycol1507 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2]
pubkeycol1508 = [1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2]
pubkeycol1509 = [0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1]
pubkeycol1510 = [0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2]
pubkeycol1511 = [2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1]
pubkeycol1512 = [2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0]
pubkeycol1513 = [2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2]
pubkeycol1514 = [0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1]
pubkeycol1515 = [0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2]
pubkeycol1516 = [1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1]
pubkeycol1517 = [0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1]
pubkeycol1518 = [1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2]
pubkeycol1519 = [0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1]
pubkeycol1520 = [2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2]
pubkeycol1521 = [0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1]
pubkeycol1522 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2]
pubkeycol1523 = [0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1]
pubkeycol1524 = [0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0]
pubkeycol1525 = [0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0]
pubkeycol1526 = [0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1]
pubkeycol1527 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2]
pubkeycol1528 = [1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2]
pubkeycol1529 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2]
pubkeycol1530 = [1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1]
pubkeycol1531 = [0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1]
pubkeycol1532 = [0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0]
pubkeycol1533 = [0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2]
pubkeycol1534 = [0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1]
pubkeycol1535 = [2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1]
pubkeycol1536 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0]
pubkeycol1537 = [0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0]
pubkeycol1538 = [1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1]
pubkeycol1539 = [2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2]
pubkeycol1540 = [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2]
pubkeycol1541 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0]
pubkeycol1542 = [0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0]
pubkeycol1543 = [2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2]
pubkeycol1544 = [0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0]
pubkeycol1545 = [2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0]
pubkeycol1546 = [2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0]
pubkeycol1547 = [1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol1548 = [1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0]
pubkeycol1549 = [1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1]
pubkeycol1550 = [1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2]
pubkeycol1551 = [0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2]
pubkeycol1552 = [2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2]
pubkeycol1553 = [0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1]
pubkeycol1554 = [0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2]
pubkeycol1555 = [1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1]
pubkeycol1556 = [2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0]
pubkeycol1557 = [2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0]
pubkeycol1558 = [1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0]
pubkeycol1559 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0]
pubkeycol1560 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2]
pubkeycol1561 = [1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1]
pubkeycol1562 = [2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1]
pubkeycol1563 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1]
pubkeycol1564 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2]
pubkeycol1565 = [0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0]
pubkeycol1566 = [1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2]
pubkeycol1567 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2]
pubkeycol1568 = [2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1569 = [2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0]
pubkeycol1570 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1]
pubkeycol1571 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1]
pubkeycol1572 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1]
pubkeycol1573 = [2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2]
pubkeycol1574 = [2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0]
pubkeycol1575 = [1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1]
pubkeycol1576 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0]
pubkeycol1577 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0]
pubkeycol1578 = [0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0]
pubkeycol1579 = [2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0]
pubkeycol1580 = [0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1]
pubkeycol1581 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0]
pubkeycol1582 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0]
pubkeycol1583 = [1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1584 = [2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2]
pubkeycol1585 = [1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2]
pubkeycol1586 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0]
pubkeycol1587 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1]
pubkeycol1588 = [1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0]
pubkeycol1589 = [1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0]
pubkeycol1590 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2]
pubkeycol1591 = [0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1]
pubkeycol1592 = [1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1]
pubkeycol1593 = [1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0]
pubkeycol1594 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2]
pubkeycol1595 = [0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0]
pubkeycol1596 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0]
pubkeycol1597 = [2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1]
pubkeycol1598 = [1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0]
pubkeycol1599 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1]
pubkeycol1600 = [2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2]
pubkeycol1601 = [2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0]
pubkeycol1602 = [2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0]
pubkeycol1603 = [0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0]
pubkeycol1604 = [2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2]
pubkeycol1605 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1]
pubkeycol1606 = [2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2]
pubkeycol1607 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1]
pubkeycol1608 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1]
pubkeycol1609 = [1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2]
pubkeycol1610 = [1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1]
pubkeycol1611 = [0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1]
pubkeycol1612 = [2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0]
pubkeycol1613 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0]
pubkeycol1614 = [1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1]
pubkeycol1615 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0]
pubkeycol1616 = [0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2]
pubkeycol1617 = [2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2]
pubkeycol1618 = [0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0]
pubkeycol1619 = [2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1]
pubkeycol1620 = [1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1]
pubkeycol1621 = [0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2]
pubkeycol1622 = [2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2]
pubkeycol1623 = [1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0]
pubkeycol1624 = [1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1]
pubkeycol1625 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1]
pubkeycol1626 = [2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0]
pubkeycol1627 = [2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1]
pubkeycol1628 = [2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2]
pubkeycol1629 = [0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2]
pubkeycol1630 = [1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0]
pubkeycol1631 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1]
pubkeycol1632 = [0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1]
pubkeycol1633 = [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0]
pubkeycol1634 = [1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0]
pubkeycol1635 = [2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0]
pubkeycol1636 = [1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1]
pubkeycol1637 = [1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2]
pubkeycol1638 = [0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1]
pubkeycol1639 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2]
pubkeycol1640 = [0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0]
pubkeycol1641 = [1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0]
pubkeycol1642 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1]
pubkeycol1643 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1]
pubkeycol1644 = [0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1]
pubkeycol1645 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2]
pubkeycol1646 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1]
pubkeycol1647 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1]
pubkeycol1648 = [1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0]
pubkeycol1649 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1]
pubkeycol1650 = [2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2]
pubkeycol1651 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0]
pubkeycol1652 = [0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2]
pubkeycol1653 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2]
pubkeycol1654 = [2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2]
pubkeycol1655 = [1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0]
pubkeycol1656 = [1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0]
pubkeycol1657 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1]
pubkeycol1658 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2]
pubkeycol1659 = [2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0]
pubkeycol1660 = [1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0]
pubkeycol1661 = [2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2]
pubkeycol1662 = [1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2]
pubkeycol1663 = [1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2]
pubkeycol1664 = [1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2]
pubkeycol1665 = [0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2]
pubkeycol1666 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1]
pubkeycol1667 = [0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0]
pubkeycol1668 = [1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2]
pubkeycol1669 = [2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2]
pubkeycol1670 = [1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0]
pubkeycol1671 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2]
pubkeycol1672 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0]
pubkeycol1673 = [2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1]
pubkeycol1674 = [1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0]
pubkeycol1675 = [2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2]
pubkeycol1676 = [0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1]
pubkeycol1677 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1]
pubkeycol1678 = [2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1]
pubkeycol1679 = [0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0]
pubkeycol1680 = [2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0]
pubkeycol1681 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1]
pubkeycol1682 = [1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0]
pubkeycol1683 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0]
pubkeycol1684 = [0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0]
pubkeycol1685 = [1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0]
pubkeycol1686 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1]
pubkeycol1687 = [1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2]
pubkeycol1688 = [1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2]
pubkeycol1689 = [0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2]
pubkeycol1690 = [1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1]
pubkeycol1691 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2]
pubkeycol1692 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1]
pubkeycol1693 = [1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0]
pubkeycol1694 = [0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0]
pubkeycol1695 = [2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1]
pubkeycol1696 = [1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2]
pubkeycol1697 = [2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1]
pubkeycol1698 = [2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2]
pubkeycol1699 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1]
pubkeycol1700 = [0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2]
pubkeycol1701 = [2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1]
pubkeycol1702 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2]
pubkeycol1703 = [1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0]
pubkeycol1704 = [0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0]
pubkeycol1705 = [0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1]
pubkeycol1706 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0]
pubkeycol1707 = [2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1]
pubkeycol1708 = [1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0]
pubkeycol1709 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0]
pubkeycol1710 = [1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2]
pubkeycol1711 = [0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0]
pubkeycol1712 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2]
pubkeycol1713 = [0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0]
pubkeycol1714 = [1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1]
pubkeycol1715 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2]
pubkeycol1716 = [0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1]
pubkeycol1717 = [2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2]
pubkeycol1718 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0]
pubkeycol1719 = [2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1]
pubkeycol1720 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2]
pubkeycol1721 = [0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1]
pubkeycol1722 = [2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2]
pubkeycol1723 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1]
pubkeycol1724 = [2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2]
pubkeycol1725 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2]
pubkeycol1726 = [1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0]
pubkeycol1727 = [0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0]
pubkeycol1728 = [1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2]
pubkeycol1729 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1]
pubkeycol1730 = [0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2]
pubkeycol1731 = [1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1]
pubkeycol1732 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1]
pubkeycol1733 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0]
pubkeycol1734 = [0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2]
pubkeycol1735 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2]
pubkeycol1736 = [1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0]
pubkeycol1737 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2]
pubkeycol1738 = [1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1]
pubkeycol1739 = [2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1]
pubkeycol1740 = [0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2]
pubkeycol1741 = [1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1]
pubkeycol1742 = [1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2]
pubkeycol1743 = [2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2]
pubkeycol1744 = [1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1]
pubkeycol1745 = [2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2]
pubkeycol1746 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2]
pubkeycol1747 = [2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2]
pubkeycol1748 = [2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2]
pubkeycol1749 = [2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2]
pubkeycol1750 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0]
pubkeycol1751 = [0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0]
pubkeycol1752 = [0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1]
pubkeycol1753 = [2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2]
pubkeycol1754 = [1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2]
pubkeycol1755 = [1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1]
pubkeycol1756 = [1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0]
pubkeycol1757 = [0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0]
pubkeycol1758 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0]
pubkeycol1759 = [2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2]
pubkeycol1760 = [2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2]
pubkeycol1761 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0]
pubkeycol1762 = [2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1]
pubkeycol1763 = [2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0]
pubkeycol1764 = [1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1765 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1]
pubkeycol1766 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0]
pubkeycol1767 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2]
pubkeycol1768 = [2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1]
pubkeycol1769 = [2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1]
pubkeycol1770 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0]
pubkeycol1771 = [2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1772 = [0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0]
pubkeycol1773 = [0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1]
pubkeycol1774 = [0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0]
pubkeycol1775 = [2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1]
pubkeycol1776 = [0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2]
pubkeycol1777 = [0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0]
pubkeycol1778 = [1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1]
pubkeycol1779 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2]
pubkeycol1780 = [1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1]
pubkeycol1781 = [1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1]
pubkeycol1782 = [2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1]
pubkeycol1783 = [0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0]
pubkeycol1784 = [0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1]
pubkeycol1785 = [1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2]
pubkeycol1786 = [2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2]
pubkeycol1787 = [1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0]
pubkeycol1788 = [2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0]
pubkeycol1789 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1]
pubkeycol1790 = [0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2]
pubkeycol1791 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1]
pubkeycol1792 = [2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0]
pubkeycol1793 = [0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0]
pubkeycol1794 = [2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0]
pubkeycol1795 = [1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1]
pubkeycol1796 = [0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0]
pubkeycol1797 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1]
pubkeycol1798 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2]
pubkeycol1799 = [2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0]
pubkeycol1800 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2]
pubkeycol1801 = [0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2]
pubkeycol1802 = [1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1]
pubkeycol1803 = [2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1]
pubkeycol1804 = [0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1]
pubkeycol1805 = [2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0]
pubkeycol1806 = [2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1]
pubkeycol1807 = [2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2]
pubkeycol1808 = [0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0]
pubkeycol1809 = [1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1]
pubkeycol1810 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1]
pubkeycol1811 = [2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1]
pubkeycol1812 = [1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2]
pubkeycol1813 = [2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1]
pubkeycol1814 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1]
pubkeycol1815 = [2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2]
pubkeycol1816 = [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0]
pubkeycol1817 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0]
pubkeycol1818 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1]
pubkeycol1819 = [2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2]
pubkeycol1820 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2]
pubkeycol1821 = [1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0]
pubkeycol1822 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2]
pubkeycol1823 = [0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1]
pubkeycol1824 = [1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1]
pubkeycol1825 = [2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]
pubkeycol1826 = [1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1]
pubkeycol1827 = [1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1]
pubkeycol1828 = [1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1]
pubkeycol1829 = [1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2]
pubkeycol1830 = [1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0]
pubkeycol1831 = [0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0]
pubkeycol1832 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0]
pubkeycol1833 = [2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2]
pubkeycol1834 = [2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1]
pubkeycol1835 = [0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1]
pubkeycol1836 = [1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1]
pubkeycol1837 = [0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2]
pubkeycol1838 = [2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0]
pubkeycol1839 = [0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1]
pubkeycol1840 = [1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0]
pubkeycol1841 = [1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1]
pubkeycol1842 = [2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0]
pubkeycol1843 = [0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2]
pubkeycol1844 = [0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1]
pubkeycol1845 = [1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0]
pubkeycol1846 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2]
pubkeycol1847 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1]
pubkeycol1848 = [0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0]
pubkeycol1849 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2]
pubkeycol1850 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2]
pubkeycol1851 = [0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1]
pubkeycol1852 = [1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0]
pubkeycol1853 = [1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2]
pubkeycol1854 = [0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2]
pubkeycol1855 = [0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2]
pubkeycol1856 = [2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1]
pubkeycol1857 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0]
pubkeycol1858 = [1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2]
pubkeycol1859 = [0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1]
pubkeycol1860 = [2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1]
pubkeycol1861 = [2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2]
pubkeycol1862 = [0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1]
pubkeycol1863 = [2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2]
pubkeycol1864 = [0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2]
pubkeycol1865 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1]
pubkeycol1866 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2]
pubkeycol1867 = [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1]
pubkeycol1868 = [0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2]
pubkeycol1869 = [1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0]
pubkeycol1870 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2]
pubkeycol1871 = [0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1]
pubkeycol1872 = [0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0]
pubkeycol1873 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2]
pubkeycol1874 = [0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1]
pubkeycol1875 = [1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0]
pubkeycol1876 = [2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2]
pubkeycol1877 = [1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1]
pubkeycol1878 = [1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1]
pubkeycol1879 = [0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1]
pubkeycol1880 = [1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1]
pubkeycol1881 = [1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0]
pubkeycol1882 = [0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0]
pubkeycol1883 = [0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1]
pubkeycol1884 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0]
pubkeycol1885 = [1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1]
pubkeycol1886 = [0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0]
pubkeycol1887 = [1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2]
pubkeycol1888 = [1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0]
pubkeycol1889 = [2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2]
pubkeycol1890 = [2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0]
pubkeycol1891 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1]
pubkeycol1892 = [0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2]
pubkeycol1893 = [0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1]
pubkeycol1894 = [1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0]
pubkeycol1895 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2]
pubkeycol1896 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2]
pubkeycol1897 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2]
pubkeycol1898 = [1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2]
pubkeycol1899 = [1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1]
pubkeycol1900 = [1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1]
pubkeycol1901 = [2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1]
pubkeycol1902 = [2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol1903 = [0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0]
pubkeycol1904 = [1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1]
pubkeycol1905 = [1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0]
pubkeycol1906 = [1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0]
pubkeycol1907 = [1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2]
pubkeycol1908 = [1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1]
pubkeycol1909 = [1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2]
pubkeycol1910 = [0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2]
pubkeycol1911 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2]
pubkeycol1912 = [0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1]
pubkeycol1913 = [1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1]
pubkeycol1914 = [1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2]
pubkeycol1915 = [1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0]
pubkeycol1916 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2]
pubkeycol1917 = [0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1]
pubkeycol1918 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1]
pubkeycol1919 = [1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0]
pubkeycol1920 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2]
pubkeycol1921 = [0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2]
pubkeycol1922 = [2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0]
pubkeycol1923 = [2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1]
pubkeycol1924 = [2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2]
pubkeycol1925 = [2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2]
pubkeycol1926 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1927 = [0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1]
pubkeycol1928 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2]
pubkeycol1929 = [0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0]
pubkeycol1930 = [1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0]
pubkeycol1931 = [2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1]
pubkeycol1932 = [1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2]
pubkeycol1933 = [0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1]
pubkeycol1934 = [2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1]
pubkeycol1935 = [0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0]
pubkeycol1936 = [1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0]
pubkeycol1937 = [2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2]
pubkeycol1938 = [2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0]
pubkeycol1939 = [0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1]
pubkeycol1940 = [2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1]
pubkeycol1941 = [1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0]
pubkeycol1942 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0]
pubkeycol1943 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0]
pubkeycol1944 = [0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2]
pubkeycol1945 = [2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1]
pubkeycol1946 = [1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1]
pubkeycol1947 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2]
pubkeycol1948 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2]
pubkeycol1949 = [2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1]
pubkeycol1950 = [0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1]
pubkeycol1951 = [2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0]
pubkeycol1952 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2]
pubkeycol1953 = [1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2]
pubkeycol1954 = [1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0]
pubkeycol1955 = [0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2]
pubkeycol1956 = [0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1]
pubkeycol1957 = [1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0]
pubkeycol1958 = [0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2]
pubkeycol1959 = [2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0]
pubkeycol1960 = [0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0]
pubkeycol1961 = [1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2]
pubkeycol1962 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2]
pubkeycol1963 = [1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0]
pubkeycol1964 = [0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0]
pubkeycol1965 = [1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2]
pubkeycol1966 = [1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2]
pubkeycol1967 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0]
pubkeycol1968 = [2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1]
pubkeycol1969 = [1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2]
pubkeycol1970 = [2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1]
pubkeycol1971 = [0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2]
pubkeycol1972 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0]
pubkeycol1973 = [1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0]
pubkeycol1974 = [1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0]
pubkeycol1975 = [1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2]
pubkeycol1976 = [1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2]
pubkeycol1977 = [2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0]
pubkeycol1978 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2]
pubkeycol1979 = [0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1]
pubkeycol1980 = [0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2]
pubkeycol1981 = [1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0]
pubkeycol1982 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0]
pubkeycol1983 = [0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1]
pubkeycol1984 = [1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2]
pubkeycol1985 = [1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0]
pubkeycol1986 = [2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1]
pubkeycol1987 = [2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0]
pubkeycol1988 = [0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1]
pubkeycol1989 = [2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1]
pubkeycol1990 = [0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0]
pubkeycol1991 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0]
pubkeycol1992 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0]
pubkeycol1993 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0]
pubkeycol1994 = [1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2]
pubkeycol1995 = [2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1]
pubkeycol1996 = [2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0]
pubkeycol1997 = [0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2]
pubkeycol1998 = [0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1]
pubkeycol1999 = [2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0]
pubkeycol2000 = [0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1]
pubkeycol2001 = [0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2]
pubkeycol2002 = [2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0]
pubkeycol2003 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2]
pubkeycol2004 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0]
pubkeycol2005 = [0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2]
pubkeycol2006 = [1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2]
pubkeycol2007 = [1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1]
pubkeycol2008 = [2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1]
pubkeycol2009 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2]
pubkeycol2010 = [0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0]
pubkeycol2011 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2]
pubkeycol2012 = [2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2]
pubkeycol2013 = [1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2]
pubkeycol2014 = [0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2]
pubkeycol2015 = [1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2]
pubkeycol2016 = [2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1]
pubkeycol2017 = [1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0]
pubkeycol2018 = [1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2]
pubkeycol2019 = [0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2]
pubkeycol2020 = [2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2]
pubkeycol2021 = [1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1]
pubkeycol2022 = [1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0]
pubkeycol2023 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1]
pubkeycol2024 = [2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2]
pubkeycol2025 = [1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2]
pubkeycol2026 = [2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0]
pubkeycol2027 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0]
pubkeycol2028 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0]
pubkeycol2029 = [1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1]
pubkeycol2030 = [1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0]
pubkeycol2031 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1]
pubkeycol2032 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1]
pubkeycol2033 = [0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1]
pubkeycol2034 = [2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1]
pubkeycol2035 = [2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1]
pubkeycol2036 = [0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0]
pubkeycol2037 = [1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0]
pubkeycol2038 = [1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0]
pubkeycol2039 = [1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2]
pubkeycol2040 = [1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0]
pubkeycol2041 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0]
pubkeycol2042 = [2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1]
pubkeycol2043 = [0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0]
pubkeycol2044 = [2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0]
pubkeycol2045 = [1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1]
pubkeycol2046 = [0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0]
pubkeycol2047 = [2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0]
pubkeycol2048 = [1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2]
pubkeycol2049 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1]
pubkeycol2050 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0]
pubkeycol2051 = [1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2]
pubkeycol2052 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0]
pubkeycol2053 = [1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1]
pubkeycol2054 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2]
pubkeycol2055 = [1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1]
pubkeycol2056 = [2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0]
pubkeycol2057 = [0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2]
pubkeycol2058 = [0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0]
pubkeycol2059 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1]
pubkeycol2060 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0]
pubkeycol2061 = [1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1]
pubkeycol2062 = [2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0]
pubkeycol2063 = [0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2]
pubkeycol2064 = [2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2]
pubkeycol2065 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1]
pubkeycol2066 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2]
pubkeycol2067 = [1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0]
pubkeycol2068 = [1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2]
pubkeycol2069 = [2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1]
pubkeycol2070 = [1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2]
pubkeycol2071 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2]
pubkeycol2072 = [0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2]
pubkeycol2073 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0]
pubkeycol2074 = [2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2]
pubkeycol2075 = [1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2]
pubkeycol2076 = [1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1]
pubkeycol2077 = [1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0]
pubkeycol2078 = [2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2]
pubkeycol2079 = [2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1]
pubkeycol2080 = [1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0]
pubkeycol2081 = [1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2]
pubkeycol2082 = [2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1]
pubkeycol2083 = [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1]
pubkeycol2084 = [2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0]
pubkeycol2085 = [2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1]
pubkeycol2086 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0]
pubkeycol2087 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2]
pubkeycol2088 = [1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1]
pubkeycol2089 = [0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1]
pubkeycol2090 = [1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0]
pubkeycol2091 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0]
pubkeycol2092 = [1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0]
pubkeycol2093 = [1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0]
pubkeycol2094 = [1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1]
pubkeycol2095 = [0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2]
pubkeycol2096 = [2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0]
pubkeycol2097 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0]
pubkeycol2098 = [2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2]
pubkeycol2099 = [2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1]
pubkeycol2100 = [2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2]
pubkeycol2101 = [0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0]
pubkeycol2102 = [0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1]
pubkeycol2103 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1]
pubkeycol2104 = [0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0]
pubkeycol2105 = [1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1]
pubkeycol2106 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1]
pubkeycol2107 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2]
pubkeycol2108 = [2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0]
pubkeycol2109 = [1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1]
pubkeycol2110 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2]
pubkeycol2111 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0]
pubkeycol2112 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1]
pubkeycol2113 = [1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1]
pubkeycol2114 = [1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0]
pubkeycol2115 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1]
pubkeycol2116 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2]
pubkeycol2117 = [1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1]
pubkeycol2118 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2]
pubkeycol2119 = [2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0]
pubkeycol2120 = [0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0]
pubkeycol2121 = [2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0]
pubkeycol2122 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0]
pubkeycol2123 = [0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1]
pubkeycol2124 = [1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0]
pubkeycol2125 = [0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2]