kilobytes = 143.986751977878
q = 5
m = 5
n = 1670
s = 0
t = 20
u = 80
k = 1270
w = 50
ciphertext = [4, 0, 4, 0, 2, 0, 0, 1, 0, 3, 3, 0, 2, 4, 4, 1, 4, 1, 1, 2, 4, 4, 3, 2, 0, 4, 2, 2, 0, 0, 4, 3, 2, 3, 0, 1, 1, 0, 2, 3, 0, 3, 0, 2, 0, 2, 1, 1, 3, 2, 4, 1, 0, 4, 3, 2, 2, 4, 1, 4, 0, 0, 2, 3, 2, 1, 4, 4, 3, 0, 3, 2, 3, 1, 3, 2, 0, 0, 3, 1, 4, 2, 3, 4, 3, 0, 1, 4, 0, 0, 2, 4, 4, 2, 4, 3, 2, 4, 0, 4, 4, 2, 3, 3, 4, 2, 2, 3, 2, 1, 0, 4, 1, 2, 2, 4, 3, 2, 0, 4, 3, 2, 2, 2, 3, 3, 3, 1, 1, 4, 0, 3, 4, 0, 0, 3, 0, 4, 2, 4, 4, 0, 2, 3, 2, 4, 2, 3, 4, 1, 2, 2, 3, 3, 3, 2, 1, 3, 3, 3, 2, 2, 4, 4, 3, 1, 0, 4, 4, 3, 3, 4, 2, 2, 2, 0, 2, 1, 2, 3, 4, 3, 4, 0, 1, 0, 3, 0, 3, 2, 4, 4, 1, 2, 4, 3, 1, 1, 2, 3, 0, 4, 1, 2, 2, 2, 4, 2, 2, 4, 2, 3, 0, 3, 2, 4, 1, 2, 2, 2, 3, 3, 1, 4, 4, 4, 3, 2, 4, 3, 4, 2, 2, 4, 0, 4, 3, 3, 0, 2, 3, 3, 1, 4, 1, 4, 0, 2, 0, 0, 0, 4, 3, 3, 4, 3, 4, 2, 0, 0, 0, 3, 3, 3, 2, 2, 4, 4, 4, 4, 2, 1, 2, 1, 3, 0, 1, 0, 0, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 4, 4, 2, 3, 1, 0, 4, 0, 1, 2, 3, 2, 4, 4, 3, 1, 1, 4, 2, 2, 1, 0, 3, 4, 2, 3, 2, 4, 1, 3, 1, 1, 4, 4, 4, 1, 3, 4, 2, 1, 0, 2, 1, 4, 4, 1, 2, 3, 1, 2, 0, 2, 2, 3, 2, 1, 1, 1, 0, 2, 3, 1, 2, 3, 2, 0, 1, 4, 4, 0, 3, 0, 0, 1, 4, 1, 2, 4, 1, 1, 4, 3, 2, 3, 3, 2, 0, 3, 4, 1, 4, 2, 0, 3, 0, 1, 4, 3, 4, 0, 0, 4]
recovered_plaintext_using_secret_key = True
pubkeycol400 = [4, 1, 2, 0, 3, 2, 1, 1, 4, 0, 2, 0, 3, 2, 2, 4, 1, 3, 2, 2, 4, 1, 2, 0, 4, 3, 4, 0, 0, 1, 2, 2, 3, 3, 1, 4, 3, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 3, 0, 1, 4, 3, 3, 2, 1, 0, 1, 4, 3, 3, 4, 1, 4, 3, 4, 4, 3, 3, 0, 2, 0, 0, 2, 3, 0, 0, 2, 2, 0, 0, 4, 4, 0, 4, 2, 3, 3, 0, 1, 2, 2, 1, 2, 0, 4, 0, 2, 1, 3, 3, 0, 3, 1, 0, 2, 3, 1, 0, 1, 0, 0, 0, 4, 0, 2, 0, 3, 0, 2, 3, 2, 0, 3, 3, 1, 3, 3, 3, 0, 2, 1, 2, 0, 2, 3, 1, 1, 4, 2, 3, 4, 2, 2, 3, 4, 2, 3, 1, 3, 2, 2, 4, 1, 4, 4, 4, 0, 1, 4, 0, 3, 3, 4, 1, 1, 2, 1, 1, 0, 1, 1, 2, 3, 4, 0, 0, 2, 2, 2, 3, 1, 4, 1, 4, 3, 3, 2, 2, 2, 1, 2, 4, 0, 1, 1, 0, 4, 0, 1, 4, 2, 4, 2, 3, 1, 2, 2, 0, 4, 0, 3, 0, 3, 0, 0, 0, 2, 4, 4, 4, 1, 2, 0, 3, 3, 3, 4, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 4, 0, 1, 1, 0, 0, 1, 1, 1, 4, 1, 3, 0, 1, 1, 2, 2, 2, 1, 4, 0, 2, 4, 4, 3, 0, 3, 0, 2, 4, 0, 1, 1, 1, 4, 3, 3, 0, 1, 4, 0, 2, 1, 2, 1, 0, 0, 3, 3, 2, 1, 0, 3, 1, 1, 0, 2, 4, 4, 0, 1, 3, 0, 2, 4, 1, 4, 4, 0, 4, 0, 3, 1, 3, 2, 3, 0, 1, 0, 2, 2, 4, 0, 1, 1, 3, 0, 0, 3, 3, 2, 4, 4, 3, 3, 0, 4, 3, 0, 1, 4, 2, 3, 0, 4, 4, 0, 3, 0, 4, 1, 0, 4, 0, 1, 1, 4, 3, 4, 3, 3, 3, 0, 4, 3, 1, 0, 4, 0, 3, 3, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 2, 4, 3, 4, 0, 1, 4, 0, 1, 4, 3, 4, 4, 1]
pubkeycol401 = [4, 1, 2, 0, 3, 3, 1, 4, 1, 3, 0, 2, 1, 3, 4, 0, 4, 2, 0, 2, 1, 1, 3, 1, 3, 2, 2, 1, 1, 2, 1, 0, 0, 4, 4, 1, 2, 4, 3, 0, 0, 3, 3, 4, 1, 1, 4, 4, 1, 4, 4, 1, 2, 3, 4, 0, 3, 2, 3, 1, 1, 0, 2, 4, 3, 1, 1, 3, 0, 4, 3, 0, 4, 2, 0, 4, 0, 3, 0, 4, 1, 1, 4, 0, 3, 1, 2, 1, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 1, 3, 1, 1, 0, 1, 0, 3, 4, 4, 1, 1, 3, 3, 4, 2, 3, 3, 4, 4, 1, 2, 0, 4, 3, 1, 2, 3, 2, 1, 3, 1, 4, 2, 1, 3, 3, 1, 2, 0, 4, 2, 3, 0, 4, 2, 0, 3, 1, 3, 4, 3, 4, 2, 1, 1, 3, 1, 4, 2, 3, 1, 2, 0, 4, 2, 1, 1, 1, 0, 0, 3, 0, 4, 4, 3, 4, 1, 1, 2, 2, 0, 1, 2, 0, 4, 2, 3, 1, 3, 2, 2, 3, 1, 2, 4, 0, 3, 0, 2, 1, 4, 0, 3, 0, 0, 4, 1, 2, 3, 4, 2, 2, 2, 0, 1, 4, 2, 1, 2, 2, 3, 4, 0, 0, 4, 2, 4, 4, 1, 1, 3, 0, 4, 3, 2, 0, 3, 3, 4, 0, 4, 0, 3, 1, 4, 3, 0, 3, 0, 2, 1, 1, 0, 4, 1, 2, 1, 3, 3, 1, 1, 4, 2, 1, 1, 3, 1, 4, 1, 0, 3, 4, 3, 2, 3, 2, 4, 0, 4, 2, 0, 1, 2, 2, 3, 1, 4, 1, 4, 0, 1, 3, 0, 4, 3, 2, 3, 1, 4, 0, 4, 4, 4, 1, 4, 4, 4, 3, 2, 4, 3, 3, 3, 4, 4, 4, 4, 0, 1, 4, 3, 0, 0, 2, 3, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 4, 0, 2, 4, 4, 3, 4, 1, 4, 0, 4, 4, 2, 0, 0, 4, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 2, 0, 4, 0, 0, 4, 1, 0, 3, 1, 1, 4, 1, 4, 0, 1, 3, 0, 2, 3, 4, 3, 2, 4, 0, 0, 0, 4, 0, 2, 2, 2, 2, 4, 1, 4, 3, 0]
pubkeycol402 = [3, 2, 1, 0, 1, 2, 0, 4, 0, 1, 4, 2, 3, 3, 1, 4, 3, 2, 3, 1, 4, 1, 4, 3, 1, 2, 2, 0, 3, 3, 2, 1, 0, 3, 1, 1, 3, 3, 3, 3, 3, 3, 3, 1, 1, 2, 3, 0, 0, 0, 3, 4, 4, 4, 0, 3, 4, 0, 0, 0, 0, 1, 3, 2, 3, 2, 0, 2, 1, 1, 4, 4, 4, 1, 4, 3, 3, 1, 2, 1, 1, 2, 1, 0, 3, 3, 4, 4, 1, 4, 2, 4, 3, 4, 3, 3, 1, 4, 3, 0, 2, 4, 3, 2, 1, 1, 3, 1, 2, 3, 2, 0, 1, 0, 4, 3, 1, 4, 0, 0, 1, 4, 0, 3, 0, 3, 1, 2, 2, 0, 3, 3, 4, 4, 3, 0, 1, 2, 3, 1, 4, 1, 4, 3, 2, 4, 3, 4, 0, 2, 4, 1, 2, 2, 2, 4, 2, 4, 0, 0, 2, 3, 4, 0, 4, 4, 1, 2, 3, 2, 1, 4, 0, 1, 3, 4, 3, 2, 1, 3, 0, 3, 1, 3, 4, 4, 3, 0, 2, 4, 4, 3, 4, 3, 3, 0, 0, 4, 3, 0, 2, 0, 0, 2, 3, 4, 1, 4, 2, 0, 1, 3, 0, 3, 0, 1, 3, 2, 4, 4, 2, 0, 4, 3, 0, 0, 4, 0, 0, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 4, 2, 4, 3, 1, 4, 4, 4, 2, 0, 3, 3, 1, 3, 0, 2, 4, 3, 1, 4, 2, 1, 4, 0, 4, 3, 4, 1, 3, 4, 1, 3, 2, 1, 0, 2, 4, 1, 2, 1, 4, 0, 2, 0, 0, 3, 2, 1, 3, 4, 2, 4, 4, 0, 4, 1, 3, 0, 2, 2, 2, 2, 4, 2, 4, 2, 1, 1, 1, 4, 3, 2, 2, 4, 4, 1, 2, 4, 3, 1, 0, 4, 4, 1, 2, 3, 2, 0, 1, 3, 3, 1, 0, 0, 2, 4, 2, 3, 3, 2, 1, 1, 0, 3, 1, 4, 4, 3, 2, 3, 2, 0, 1, 2, 4, 2, 3, 0, 0, 0, 1, 2, 4, 1, 0, 3, 0, 2, 2, 4, 2, 3, 3, 2, 1, 3, 0, 2, 3, 3, 3, 0, 4, 4, 2, 2, 4, 1, 2, 1, 2, 1, 4, 2, 0, 2, 0, 4, 1, 0, 0]
pubkeycol403 = [3, 2, 2, 3, 2, 4, 1, 1, 2, 4, 1, 4, 1, 4, 1, 3, 4, 3, 3, 2, 2, 2, 3, 1, 3, 3, 1, 3, 2, 3, 2, 1, 0, 1, 1, 0, 2, 0, 1, 3, 2, 0, 3, 0, 4, 0, 1, 1, 4, 4, 2, 3, 1, 3, 4, 2, 4, 3, 0, 4, 4, 3, 1, 4, 3, 2, 3, 1, 3, 4, 0, 3, 1, 4, 1, 1, 2, 1, 3, 2, 0, 1, 1, 0, 1, 1, 3, 3, 4, 1, 4, 0, 4, 1, 0, 0, 3, 3, 3, 3, 4, 2, 0, 0, 4, 4, 2, 0, 3, 3, 2, 3, 3, 0, 0, 4, 2, 4, 2, 1, 4, 0, 1, 4, 1, 2, 1, 0, 1, 4, 4, 2, 0, 2, 2, 4, 2, 0, 1, 4, 3, 1, 4, 1, 3, 4, 3, 4, 3, 3, 0, 4, 3, 3, 4, 2, 1, 2, 0, 4, 1, 3, 2, 1, 4, 2, 2, 4, 2, 4, 0, 3, 4, 1, 3, 4, 0, 0, 4, 1, 3, 4, 3, 3, 4, 0, 0, 0, 2, 1, 4, 3, 4, 1, 2, 1, 3, 3, 4, 0, 1, 0, 1, 4, 4, 3, 1, 4, 4, 4, 0, 3, 2, 2, 2, 3, 3, 4, 4, 4, 1, 3, 1, 0, 4, 2, 4, 3, 0, 2, 4, 2, 4, 2, 2, 0, 4, 3, 0, 0, 3, 3, 4, 2, 3, 0, 3, 3, 3, 0, 1, 4, 2, 0, 4, 2, 4, 0, 4, 1, 0, 4, 1, 0, 3, 2, 2, 0, 0, 3, 4, 2, 0, 0, 3, 2, 4, 4, 1, 3, 0, 3, 2, 0, 1, 0, 2, 4, 1, 2, 2, 3, 1, 1, 0, 4, 3, 3, 1, 1, 4, 1, 1, 3, 4, 4, 4, 1, 0, 1, 3, 3, 1, 1, 4, 4, 2, 0, 3, 4, 2, 0, 4, 3, 4, 1, 3, 0, 0, 1, 0, 4, 4, 3, 4, 3, 2, 2, 1, 1, 3, 1, 0, 4, 0, 1, 0, 1, 1, 4, 1, 1, 3, 3, 4, 3, 2, 0, 3, 3, 1, 2, 3, 0, 2, 4, 0, 1, 3, 1, 4, 2, 0, 2, 4, 4, 0, 2, 2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 0, 0, 4, 4, 2, 2, 0, 1, 0, 1, 2, 1]
pubkeycol404 = [1, 4, 3, 3, 3, 2, 3, 2, 4, 3, 0, 4, 4, 0, 0, 0, 2, 4, 1, 3, 3, 0, 2, 4, 4, 4, 4, 3, 0, 1, 4, 2, 3, 1, 4, 2, 1, 2, 4, 2, 3, 2, 3, 3, 4, 2, 3, 4, 3, 1, 0, 3, 1, 0, 0, 0, 1, 4, 1, 1, 3, 1, 0, 3, 2, 1, 1, 1, 0, 1, 2, 4, 1, 3, 2, 1, 0, 0, 2, 0, 2, 1, 1, 3, 2, 3, 1, 2, 1, 3, 2, 1, 0, 1, 4, 2, 2, 2, 0, 1, 3, 4, 4, 2, 1, 2, 2, 0, 4, 2, 3, 3, 2, 4, 1, 3, 2, 1, 4, 4, 4, 0, 4, 2, 4, 2, 0, 1, 4, 3, 3, 3, 4, 4, 3, 0, 1, 4, 4, 2, 3, 2, 2, 3, 0, 2, 4, 3, 4, 0, 1, 1, 4, 3, 2, 1, 3, 0, 1, 4, 4, 4, 0, 1, 4, 1, 4, 3, 1, 4, 3, 4, 3, 2, 1, 1, 1, 3, 4, 0, 1, 0, 3, 4, 1, 4, 4, 0, 2, 2, 4, 2, 3, 1, 3, 0, 0, 4, 0, 1, 1, 2, 1, 1, 4, 1, 0, 0, 4, 0, 1, 4, 3, 0, 1, 0, 1, 4, 0, 2, 0, 4, 2, 2, 3, 4, 3, 4, 0, 3, 1, 4, 3, 2, 1, 3, 0, 3, 1, 3, 3, 2, 0, 4, 1, 3, 3, 2, 2, 4, 3, 1, 0, 3, 4, 2, 0, 2, 2, 1, 4, 4, 1, 2, 2, 1, 2, 2, 4, 3, 1, 1, 4, 1, 2, 1, 1, 3, 2, 1, 3, 2, 3, 4, 3, 3, 0, 4, 4, 4, 4, 1, 3, 1, 0, 3, 3, 2, 3, 0, 1, 3, 2, 2, 4, 3, 0, 4, 3, 1, 4, 1, 3, 2, 0, 3, 1, 1, 4, 1, 4, 1, 1, 4, 4, 2, 4, 1, 0, 2, 0, 4, 3, 3, 4, 3, 3, 1, 4, 1, 3, 0, 4, 0, 2, 1, 2, 3, 2, 3, 0, 3, 2, 3, 0, 0, 0, 3, 1, 1, 2, 1, 1, 2, 2, 3, 3, 0, 2, 4, 0, 0, 2, 1, 2, 3, 1, 4, 2, 3, 3, 3, 3, 0, 0, 4, 4, 3, 0, 4, 4, 4, 3, 2, 2, 3, 1, 4, 3, 0]
pubkeycol405 = [1, 2, 0, 4, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 3, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 1, 1, 4, 4, 0, 4, 3, 0, 0, 4, 3, 1, 0, 0, 3, 3, 1, 0, 0, 3, 2, 2, 3, 4, 0, 4, 2, 3, 4, 4, 4, 1, 4, 1, 0, 2, 2, 3, 2, 1, 0, 3, 3, 3, 2, 0, 1, 3, 3, 1, 2, 0, 4, 4, 2, 2, 4, 1, 0, 4, 4, 3, 2, 2, 4, 0, 4, 3, 0, 4, 1, 3, 0, 3, 3, 1, 1, 1, 2, 3, 0, 2, 3, 1, 0, 2, 2, 1, 1, 0, 2, 4, 2, 0, 0, 0, 1, 1, 3, 2, 3, 0, 1, 3, 3, 1, 3, 1, 4, 0, 0, 0, 2, 4, 4, 0, 1, 3, 2, 1, 3, 4, 1, 4, 0, 1, 1, 4, 3, 1, 2, 4, 4, 2, 4, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 4, 0, 0, 0, 3, 0, 4, 0, 4, 0, 4, 1, 3, 4, 3, 4, 3, 0, 0, 2, 2, 4, 4, 0, 0, 1, 0, 3, 2, 3, 0, 4, 2, 0, 2, 2, 1, 3, 2, 4, 0, 3, 0, 1, 2, 4, 1, 0, 3, 1, 0, 3, 2, 3, 1, 3, 0, 2, 1, 0, 0, 3, 1, 0, 3, 2, 2, 3, 0, 4, 4, 2, 1, 4, 0, 0, 1, 1, 0, 2, 2, 4, 3, 4, 0, 2, 3, 0, 2, 2, 3, 3, 1, 2, 2, 4, 3, 1, 1, 4, 4, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 0, 4, 0, 3, 4, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 3, 2, 4, 0, 3, 1, 4, 3, 2, 3, 2, 4, 4, 4, 3, 1, 1, 4, 0, 4, 4, 2, 1, 3, 1, 3, 1, 1, 1, 3, 2, 4, 1, 2, 4, 2, 3, 0, 3, 0, 0, 4, 3, 3, 2, 0, 2, 2, 0, 2, 4, 0, 3, 3, 0, 2, 2, 4, 4, 3, 4, 2, 2, 2, 1, 4, 1, 1, 2, 0, 3, 4, 4, 4, 3, 2, 3, 2, 1, 4, 2, 1, 1, 4, 0, 0, 0, 3, 2, 3]
pubkeycol406 = [4, 3, 1, 4, 3, 3, 2, 0, 0, 1, 1, 4, 4, 0, 3, 3, 3, 1, 2, 2, 1, 3, 3, 2, 4, 2, 1, 4, 4, 1, 0, 2, 4, 2, 1, 3, 3, 4, 3, 1, 1, 1, 2, 2, 3, 3, 0, 3, 2, 0, 4, 2, 4, 1, 1, 1, 4, 2, 2, 3, 3, 1, 2, 3, 2, 1, 1, 1, 3, 4, 1, 4, 3, 4, 4, 3, 0, 0, 4, 3, 0, 1, 0, 1, 4, 2, 2, 4, 2, 4, 1, 4, 1, 1, 2, 4, 0, 4, 2, 2, 3, 0, 3, 3, 4, 4, 3, 0, 0, 1, 0, 3, 1, 2, 3, 3, 0, 0, 1, 2, 1, 4, 2, 3, 0, 3, 1, 2, 1, 2, 3, 3, 2, 0, 3, 4, 4, 1, 0, 4, 1, 0, 4, 3, 3, 4, 0, 4, 4, 4, 4, 0, 1, 4, 2, 3, 4, 0, 4, 0, 3, 0, 2, 1, 3, 2, 2, 2, 1, 3, 1, 0, 3, 0, 4, 4, 0, 1, 4, 4, 0, 3, 2, 4, 1, 1, 0, 3, 0, 1, 1, 1, 4, 4, 2, 2, 0, 3, 0, 3, 3, 0, 1, 3, 2, 2, 3, 3, 3, 0, 1, 1, 4, 4, 0, 0, 1, 4, 1, 1, 3, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 3, 4, 1, 3, 0, 1, 1, 1, 2, 2, 0, 1, 3, 1, 0, 2, 1, 0, 0, 1, 4, 4, 4, 0, 4, 4, 4, 2, 1, 2, 3, 4, 3, 4, 0, 2, 4, 0, 3, 2, 1, 3, 2, 4, 4, 3, 0, 3, 3, 4, 4, 4, 3, 0, 0, 0, 1, 4, 4, 1, 2, 0, 2, 2, 2, 0, 3, 3, 4, 0, 3, 2, 0, 1, 2, 2, 0, 0, 3, 4, 2, 1, 4, 2, 4, 1, 1, 2, 1, 2, 4, 0, 3, 3, 4, 3, 1, 4, 3, 1, 0, 0, 3, 3, 3, 3, 3, 3, 1, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 4, 3, 1, 0, 2, 3, 1, 0, 4, 4, 0, 0, 1, 2, 1, 0, 3, 4, 3, 4, 2, 3, 1, 3, 1, 2, 2, 0, 4, 4, 4, 0, 1, 3, 3, 3, 1, 4, 2, 2, 0, 3, 3, 3, 0, 0, 2, 0, 4]
pubkeycol407 = [3, 0, 2, 1, 4, 4, 1, 1, 1, 4, 1, 4, 3, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 4, 1, 1, 2, 2, 3, 4, 0, 0, 2, 0, 1, 2, 4, 1, 2, 1, 1, 4, 4, 3, 1, 0, 3, 0, 3, 0, 1, 0, 3, 3, 0, 4, 4, 3, 1, 4, 1, 2, 1, 3, 3, 1, 4, 3, 3, 1, 0, 4, 1, 4, 1, 3, 3, 0, 4, 3, 4, 4, 4, 2, 1, 1, 0, 2, 1, 0, 4, 3, 3, 2, 4, 1, 2, 2, 0, 4, 3, 4, 3, 0, 0, 3, 0, 3, 0, 4, 2, 4, 3, 4, 0, 3, 1, 2, 1, 4, 3, 4, 1, 1, 0, 1, 3, 4, 0, 0, 4, 4, 0, 4, 1, 1, 2, 2, 1, 4, 1, 0, 0, 4, 3, 3, 3, 2, 3, 2, 3, 4, 1, 4, 4, 4, 1, 1, 2, 2, 4, 1, 4, 1, 4, 1, 3, 1, 0, 0, 3, 4, 1, 2, 0, 2, 1, 0, 0, 4, 0, 1, 1, 2, 3, 4, 3, 2, 0, 3, 2, 3, 0, 1, 4, 1, 1, 3, 2, 2, 0, 0, 2, 3, 1, 3, 1, 0, 1, 0, 4, 2, 0, 2, 3, 0, 3, 1, 1, 3, 2, 3, 2, 0, 4, 2, 1, 0, 4, 4, 3, 2, 3, 4, 3, 1, 3, 2, 2, 2, 4, 2, 0, 3, 4, 1, 1, 0, 4, 2, 0, 1, 1, 4, 3, 4, 2, 4, 2, 1, 1, 0, 4, 0, 1, 1, 1, 3, 1, 2, 0, 1, 3, 4, 1, 1, 2, 2, 4, 4, 4, 0, 3, 0, 4, 1, 1, 0, 2, 3, 2, 3, 2, 0, 0, 1, 3, 3, 2, 3, 0, 1, 1, 0, 0, 2, 3, 3, 0, 0, 2, 2, 2, 1, 3, 0, 2, 4, 3, 0, 0, 1, 3, 0, 0, 4, 3, 4, 3, 4, 0, 4, 0, 3, 1, 3, 1, 2, 3, 1, 4, 4, 3, 1, 2, 4, 2, 2, 4, 4, 1, 1, 1, 3, 1, 3, 0, 1, 2, 1, 4, 3, 1, 3, 4, 2, 4, 0, 1, 4, 0, 4, 2, 4, 4, 0, 0, 1, 0, 2, 0, 3, 1, 1, 1, 3, 0, 0, 4, 4, 1, 3, 2, 2, 1, 2, 1, 0]
pubkeycol408 = [2, 4, 2, 2, 0, 3, 1, 4, 2, 0, 3, 4, 4, 0, 2, 0, 1, 3, 0, 4, 0, 3, 3, 0, 4, 2, 3, 2, 1, 0, 3, 3, 4, 1, 4, 4, 2, 4, 0, 0, 2, 2, 2, 0, 1, 4, 3, 3, 0, 4, 3, 4, 4, 4, 1, 3, 1, 4, 3, 0, 4, 3, 0, 4, 1, 0, 4, 2, 1, 4, 3, 3, 3, 4, 4, 2, 4, 0, 3, 4, 0, 3, 1, 1, 2, 1, 2, 2, 0, 3, 2, 0, 2, 3, 1, 0, 4, 0, 0, 0, 4, 1, 1, 0, 2, 4, 0, 4, 1, 1, 0, 4, 1, 0, 0, 1, 3, 1, 4, 0, 1, 3, 2, 0, 1, 4, 2, 0, 1, 0, 1, 0, 2, 4, 3, 2, 4, 2, 4, 3, 1, 4, 0, 2, 4, 2, 0, 2, 2, 3, 3, 3, 4, 2, 4, 0, 3, 0, 1, 3, 3, 4, 1, 0, 0, 0, 3, 2, 3, 4, 2, 3, 3, 0, 2, 0, 1, 4, 0, 4, 3, 3, 4, 4, 0, 1, 4, 0, 0, 4, 4, 4, 3, 2, 0, 4, 4, 1, 3, 1, 3, 3, 4, 4, 4, 1, 2, 3, 3, 4, 4, 1, 4, 1, 2, 1, 4, 0, 2, 3, 0, 4, 3, 1, 0, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 1, 4, 3, 0, 0, 0, 1, 2, 3, 1, 1, 0, 0, 2, 3, 4, 2, 3, 4, 1, 4, 3, 0, 2, 2, 0, 0, 3, 3, 4, 1, 4, 4, 2, 2, 4, 4, 3, 1, 3, 4, 1, 0, 0, 0, 0, 3, 1, 3, 4, 0, 0, 0, 2, 2, 3, 4, 1, 1, 1, 4, 0, 3, 0, 4, 4, 1, 3, 0, 0, 2, 4, 3, 2, 0, 0, 0, 1, 3, 0, 2, 2, 4, 4, 3, 2, 4, 4, 4, 1, 1, 0, 2, 1, 4, 4, 3, 1, 1, 3, 2, 2, 4, 0, 4, 2, 3, 1, 4, 2, 3, 4, 4, 3, 4, 0, 1, 2, 4, 3, 2, 3, 3, 2, 1, 3, 3, 2, 1, 3, 0, 3, 3, 2, 1, 1, 0, 2, 3, 0, 4, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 4, 4, 1, 0, 1, 3, 4, 0, 0, 3, 4, 3, 1]
pubkeycol409 = [3, 4, 3, 1, 4, 2, 0, 1, 4, 1, 2, 3, 0, 3, 3, 2, 0, 0, 1, 2, 2, 1, 2, 3, 3, 3, 0, 3, 4, 0, 1, 2, 1, 0, 3, 0, 2, 0, 1, 3, 3, 3, 1, 1, 1, 3, 0, 2, 3, 0, 3, 4, 1, 3, 3, 3, 0, 0, 2, 3, 0, 3, 1, 1, 4, 3, 3, 1, 0, 0, 3, 1, 4, 1, 4, 0, 3, 4, 2, 0, 3, 0, 2, 4, 0, 4, 2, 1, 2, 1, 0, 4, 1, 4, 0, 3, 2, 2, 4, 0, 1, 4, 3, 1, 0, 0, 3, 4, 3, 2, 0, 3, 2, 0, 3, 0, 3, 0, 3, 2, 4, 1, 1, 3, 3, 1, 0, 4, 4, 0, 1, 1, 1, 1, 4, 3, 1, 2, 4, 1, 2, 4, 2, 3, 3, 3, 0, 4, 4, 1, 1, 3, 1, 2, 0, 3, 2, 3, 0, 2, 1, 3, 3, 0, 0, 3, 4, 3, 4, 3, 3, 3, 4, 2, 2, 1, 3, 3, 3, 4, 3, 1, 1, 1, 3, 2, 1, 4, 4, 0, 0, 0, 4, 2, 3, 3, 4, 4, 1, 2, 2, 2, 0, 3, 4, 4, 1, 2, 0, 4, 3, 3, 2, 2, 0, 0, 3, 0, 2, 2, 3, 4, 3, 1, 1, 0, 2, 3, 0, 1, 2, 2, 0, 4, 3, 1, 1, 4, 3, 0, 1, 0, 1, 4, 1, 0, 0, 4, 2, 4, 0, 3, 3, 0, 0, 1, 2, 0, 3, 4, 1, 0, 1, 1, 1, 1, 0, 2, 3, 3, 2, 3, 2, 1, 4, 4, 3, 2, 4, 4, 0, 4, 4, 0, 0, 0, 3, 2, 1, 3, 4, 1, 1, 2, 3, 4, 1, 2, 2, 4, 3, 1, 3, 1, 3, 4, 1, 3, 0, 3, 0, 3, 0, 0, 3, 2, 1, 4, 1, 3, 0, 0, 1, 2, 4, 2, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 1, 0, 1, 3, 1, 4, 4, 3, 3, 4, 2, 1, 2, 3, 2, 1, 0, 3, 1, 3, 4, 0, 1, 3, 1, 2, 4, 4, 0, 3, 3, 4, 0, 2, 3, 3, 4, 3, 4, 0, 3, 1, 3, 3, 2, 0, 4, 3, 1, 0, 2, 0, 4, 0, 2, 2, 2, 4, 0, 4, 4, 2, 3]
pubkeycol410 = [3, 2, 0, 4, 2, 0, 3, 1, 3, 4, 0, 0, 2, 3, 0, 2, 1, 0, 2, 1, 4, 2, 0, 3, 2, 2, 1, 0, 0, 4, 2, 2, 1, 0, 0, 0, 0, 4, 2, 3, 2, 2, 0, 3, 2, 1, 3, 4, 0, 2, 2, 3, 0, 3, 3, 2, 2, 3, 2, 1, 4, 3, 2, 1, 1, 4, 0, 1, 4, 4, 1, 3, 4, 4, 3, 0, 1, 1, 4, 1, 2, 2, 4, 1, 0, 1, 1, 1, 2, 4, 2, 4, 0, 4, 1, 1, 3, 4, 1, 0, 0, 1, 3, 4, 3, 1, 2, 4, 2, 3, 0, 3, 2, 4, 0, 2, 0, 0, 3, 3, 4, 2, 3, 1, 3, 1, 1, 4, 3, 4, 2, 1, 1, 0, 2, 0, 0, 3, 2, 3, 4, 3, 1, 3, 3, 1, 2, 4, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 3, 0, 2, 3, 1, 2, 2, 0, 2, 3, 3, 1, 4, 1, 2, 4, 1, 2, 0, 3, 3, 3, 1, 0, 2, 4, 3, 0, 2, 0, 2, 2, 3, 1, 2, 2, 4, 0, 4, 3, 3, 4, 2, 3, 4, 4, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 4, 4, 4, 1, 1, 3, 2, 4, 4, 2, 3, 2, 0, 2, 2, 4, 2, 1, 0, 4, 2, 3, 1, 0, 0, 3, 0, 4, 0, 4, 4, 0, 4, 2, 1, 3, 1, 2, 0, 0, 2, 4, 0, 4, 4, 3, 0, 1, 1, 2, 4, 2, 2, 3, 2, 2, 1, 1, 1, 3, 1, 0, 1, 1, 3, 3, 1, 2, 3, 1, 3, 1, 4, 4, 0, 2, 1, 2, 4, 3, 4, 3, 1, 2, 3, 3, 4, 2, 2, 2, 2, 4, 4, 4, 2, 0, 4, 2, 1, 1, 1, 2, 4, 1, 2, 4, 0, 1, 0, 2, 3, 0, 1, 2, 4, 0, 2, 2, 1, 4, 1, 3, 0, 1, 3, 2, 2, 2, 4, 0, 3, 4, 1, 3, 4, 1, 4, 3, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 4, 3, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 1, 1, 1, 2, 2, 3, 4, 4, 1, 4, 4, 2, 2, 3, 0, 0, 3, 2, 2, 2, 4, 3, 0, 0, 0]
pubkeycol411 = [0, 3, 2, 3, 4, 2, 1, 4, 2, 2, 3, 2, 2, 2, 1, 1, 2, 4, 4, 1, 0, 0, 1, 2, 2, 2, 1, 4, 4, 0, 3, 2, 0, 3, 3, 2, 4, 2, 0, 4, 4, 4, 2, 3, 0, 0, 3, 1, 1, 3, 1, 4, 4, 1, 2, 4, 3, 4, 2, 4, 0, 3, 2, 2, 1, 4, 2, 3, 4, 1, 1, 3, 3, 1, 1, 0, 0, 4, 2, 0, 0, 1, 3, 1, 1, 1, 4, 4, 0, 0, 3, 0, 3, 0, 4, 2, 4, 0, 3, 2, 1, 0, 2, 2, 2, 2, 3, 0, 2, 4, 4, 0, 3, 2, 4, 3, 2, 0, 3, 2, 3, 4, 4, 3, 0, 1, 0, 4, 0, 3, 2, 4, 1, 0, 2, 2, 3, 3, 1, 0, 4, 1, 3, 1, 4, 4, 3, 3, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 3, 4, 0, 2, 1, 4, 3, 4, 3, 4, 1, 3, 2, 0, 2, 4, 0, 2, 0, 4, 4, 0, 0, 0, 2, 2, 4, 3, 3, 1, 3, 4, 2, 2, 4, 2, 1, 2, 2, 1, 2, 4, 2, 0, 4, 4, 1, 0, 2, 2, 3, 1, 1, 4, 1, 2, 1, 3, 4, 0, 1, 3, 2, 4, 1, 3, 4, 3, 1, 1, 1, 3, 4, 4, 2, 1, 0, 3, 1, 4, 1, 3, 1, 1, 2, 3, 1, 2, 1, 0, 0, 4, 4, 2, 4, 4, 4, 3, 2, 4, 3, 4, 4, 4, 3, 4, 1, 2, 3, 0, 3, 1, 0, 3, 4, 1, 1, 4, 2, 4, 4, 2, 0, 4, 3, 2, 3, 4, 0, 1, 0, 0, 4, 2, 1, 0, 4, 0, 3, 4, 0, 0, 4, 0, 0, 0, 0, 2, 4, 1, 4, 4, 0, 0, 4, 3, 0, 1, 1, 4, 2, 1, 2, 0, 1, 3, 2, 1, 4, 3, 0, 2, 2, 0, 4, 0, 1, 1, 2, 4, 4, 1, 2, 4, 3, 1, 0, 2, 0, 4, 0, 2, 1, 2, 4, 0, 4, 1, 2, 3, 0, 3, 3, 1, 3, 0, 4, 0, 1, 3, 2, 4, 4, 4, 3, 0, 1, 4, 3, 3, 4, 4, 0, 4, 3, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 3, 2, 4, 0, 2, 3, 3]
pubkeycol412 = [0, 2, 3, 3, 2, 0, 3, 0, 4, 4, 2, 4, 2, 0, 3, 0, 4, 2, 2, 3, 2, 0, 4, 0, 3, 2, 3, 3, 1, 2, 3, 1, 0, 4, 1, 4, 3, 4, 0, 3, 2, 3, 2, 3, 4, 3, 4, 4, 1, 2, 1, 4, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 4, 0, 3, 1, 2, 2, 1, 3, 1, 2, 3, 4, 2, 1, 3, 2, 3, 3, 0, 3, 3, 0, 3, 3, 2, 2, 3, 0, 0, 2, 4, 1, 3, 0, 3, 1, 0, 3, 4, 2, 3, 1, 3, 0, 3, 1, 1, 4, 0, 4, 0, 0, 1, 3, 0, 0, 4, 3, 1, 4, 3, 4, 3, 2, 2, 0, 4, 4, 0, 2, 3, 0, 0, 1, 2, 1, 1, 1, 2, 3, 3, 4, 4, 3, 4, 2, 2, 0, 1, 3, 3, 4, 0, 3, 1, 1, 4, 1, 0, 0, 3, 2, 2, 0, 2, 1, 4, 2, 4, 2, 1, 2, 3, 1, 1, 3, 0, 1, 0, 4, 0, 0, 2, 3, 0, 3, 1, 0, 3, 4, 2, 3, 0, 2, 4, 3, 1, 1, 1, 3, 2, 3, 0, 0, 0, 2, 4, 4, 1, 0, 1, 3, 4, 2, 0, 4, 2, 4, 2, 1, 1, 2, 3, 0, 0, 1, 2, 4, 0, 4, 0, 0, 3, 3, 0, 0, 4, 1, 0, 4, 4, 1, 2, 0, 0, 2, 4, 0, 4, 1, 3, 2, 3, 3, 0, 0, 2, 3, 2, 0, 1, 0, 4, 2, 3, 4, 4, 0, 1, 4, 3, 1, 3, 4, 4, 2, 1, 2, 0, 1, 4, 2, 2, 4, 2, 2, 0, 0, 0, 2, 1, 4, 3, 3, 0, 2, 1, 2, 2, 1, 2, 3, 4, 3, 1, 2, 4, 1, 1, 0, 2, 0, 3, 4, 3, 0, 4, 0, 2, 0, 0, 4, 0, 1, 1, 2, 1, 1, 1, 3, 1, 2, 3, 4, 0, 2, 0, 3, 0, 2, 4, 2, 0, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 3, 1, 4, 2, 0, 1, 3, 4, 4, 1, 0, 1, 4, 0, 2, 0, 4, 4, 4, 1, 3, 4, 0, 4, 4, 4, 0, 2, 1, 3, 4, 3, 0, 1, 2, 4, 3, 3, 1, 0, 4, 4]
pubkeycol413 = [4, 1, 4, 1, 3, 3, 0, 3, 2, 0, 0, 0, 4, 4, 3, 4, 4, 3, 1, 0, 0, 2, 3, 0, 4, 3, 4, 4, 3, 0, 4, 3, 2, 4, 3, 4, 1, 3, 2, 4, 1, 2, 3, 0, 4, 0, 0, 3, 1, 4, 3, 0, 1, 1, 2, 1, 1, 4, 1, 3, 3, 3, 2, 1, 1, 0, 3, 2, 0, 1, 1, 0, 2, 1, 3, 4, 0, 3, 0, 3, 1, 1, 2, 1, 1, 3, 0, 3, 2, 1, 0, 0, 4, 0, 0, 3, 0, 1, 3, 3, 1, 3, 2, 0, 4, 4, 2, 1, 3, 2, 2, 2, 4, 3, 2, 4, 2, 4, 4, 3, 4, 3, 3, 0, 2, 3, 3, 4, 2, 0, 1, 3, 1, 2, 3, 4, 2, 2, 1, 3, 3, 4, 1, 0, 3, 4, 1, 2, 1, 3, 3, 3, 4, 1, 3, 2, 3, 0, 2, 0, 1, 0, 3, 4, 3, 1, 4, 2, 4, 3, 1, 0, 2, 4, 0, 0, 3, 0, 3, 2, 2, 1, 4, 1, 1, 3, 3, 3, 1, 4, 4, 4, 1, 1, 1, 2, 1, 4, 2, 3, 2, 1, 4, 4, 1, 2, 2, 4, 1, 2, 0, 4, 1, 2, 3, 1, 4, 0, 0, 0, 0, 0, 0, 3, 4, 0, 1, 2, 0, 0, 3, 1, 0, 3, 0, 4, 1, 4, 4, 0, 3, 4, 4, 4, 1, 0, 2, 2, 0, 3, 3, 4, 2, 4, 4, 2, 3, 2, 3, 2, 2, 0, 4, 0, 3, 3, 3, 3, 3, 4, 3, 4, 1, 2, 4, 3, 4, 1, 4, 4, 2, 0, 2, 0, 0, 2, 1, 4, 0, 2, 4, 0, 3, 3, 4, 2, 1, 1, 2, 3, 1, 0, 0, 4, 3, 0, 3, 1, 0, 3, 4, 2, 4, 3, 4, 0, 1, 3, 3, 4, 3, 3, 3, 2, 0, 1, 3, 4, 4, 0, 3, 2, 1, 1, 2, 1, 4, 0, 1, 2, 3, 1, 4, 0, 1, 1, 1, 4, 3, 3, 3, 0, 2, 3, 3, 4, 3, 3, 2, 1, 3, 2, 1, 3, 1, 3, 4, 3, 4, 3, 1, 3, 1, 0, 1, 4, 4, 0, 0, 4, 0, 1, 0, 0, 0, 3, 0, 0, 4, 2, 0, 0, 4, 3, 1, 0, 1, 3, 1, 2]
pubkeycol414 = [2, 3, 0, 3, 2, 1, 3, 3, 0, 4, 4, 2, 2, 3, 3, 3, 2, 1, 0, 4, 0, 2, 2, 2, 1, 1, 4, 4, 3, 1, 0, 3, 4, 2, 1, 0, 0, 2, 4, 1, 1, 0, 0, 1, 2, 0, 4, 2, 2, 3, 2, 4, 2, 0, 4, 0, 1, 4, 2, 1, 1, 2, 1, 0, 4, 4, 0, 4, 2, 0, 1, 3, 0, 2, 4, 3, 1, 0, 4, 3, 4, 2, 0, 2, 2, 4, 3, 1, 2, 4, 4, 0, 3, 2, 3, 4, 2, 2, 3, 4, 0, 0, 3, 3, 1, 3, 4, 1, 4, 4, 2, 4, 1, 2, 1, 0, 3, 2, 0, 0, 1, 0, 2, 4, 1, 4, 1, 4, 4, 3, 3, 1, 3, 1, 3, 0, 0, 0, 3, 3, 4, 4, 3, 1, 4, 1, 3, 4, 0, 1, 0, 0, 0, 1, 3, 4, 1, 0, 3, 3, 2, 0, 2, 3, 0, 3, 4, 1, 1, 3, 2, 1, 2, 1, 1, 0, 2, 1, 4, 2, 3, 4, 2, 1, 3, 4, 0, 3, 4, 3, 3, 4, 4, 4, 1, 3, 4, 4, 2, 2, 0, 4, 1, 3, 1, 0, 1, 1, 1, 0, 3, 3, 4, 3, 4, 1, 0, 0, 4, 3, 4, 3, 0, 1, 2, 0, 2, 0, 2, 2, 3, 1, 4, 3, 1, 0, 1, 2, 4, 2, 2, 3, 1, 0, 1, 0, 0, 2, 4, 0, 0, 1, 0, 4, 1, 2, 4, 4, 0, 2, 4, 4, 4, 2, 2, 1, 1, 3, 3, 3, 0, 0, 1, 2, 4, 3, 4, 1, 4, 3, 4, 0, 2, 4, 3, 3, 1, 4, 4, 2, 0, 1, 4, 1, 4, 0, 0, 2, 2, 4, 0, 2, 0, 4, 0, 0, 1, 1, 0, 3, 3, 0, 3, 3, 0, 3, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 3, 2, 3, 2, 1, 1, 1, 1, 2, 4, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 3, 2, 4, 2, 0, 3, 2, 2, 4, 0, 2, 4, 4, 3, 1, 0, 2, 0, 2, 2, 4, 0, 0, 1, 2, 3, 3, 4, 1, 0, 0, 2, 2, 3, 3, 1, 3, 4, 2, 4, 4, 0, 2, 2, 3, 3, 4, 0, 2, 1, 2, 0, 4, 1]
pubkeycol415 = [3, 1, 4, 0, 3, 3, 1, 1, 3, 0, 0, 2, 4, 2, 4, 0, 4, 0, 0, 1, 0, 3, 2, 4, 3, 2, 4, 1, 4, 0, 0, 0, 2, 4, 3, 4, 1, 0, 2, 2, 2, 4, 2, 0, 4, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 3, 4, 4, 0, 4, 3, 3, 1, 0, 2, 4, 1, 0, 3, 3, 4, 0, 3, 1, 0, 4, 2, 4, 1, 0, 4, 4, 0, 3, 4, 1, 0, 3, 1, 0, 1, 3, 2, 4, 3, 2, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 3, 4, 0, 3, 0, 0, 2, 2, 1, 3, 2, 3, 1, 1, 4, 1, 4, 0, 4, 4, 2, 1, 0, 3, 2, 0, 0, 4, 2, 3, 2, 2, 1, 2, 0, 4, 3, 0, 3, 1, 1, 0, 2, 3, 3, 1, 4, 1, 4, 4, 2, 4, 2, 1, 1, 0, 3, 4, 4, 1, 2, 2, 3, 4, 2, 2, 0, 0, 4, 0, 4, 3, 4, 2, 4, 0, 2, 4, 2, 1, 1, 2, 1, 1, 4, 0, 0, 3, 4, 2, 4, 4, 0, 1, 3, 2, 3, 3, 3, 4, 3, 0, 0, 1, 4, 2, 3, 3, 4, 1, 2, 1, 3, 4, 3, 1, 4, 1, 4, 0, 0, 4, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 4, 3, 1, 1, 3, 2, 4, 3, 4, 0, 2, 2, 1, 3, 0, 2, 1, 0, 3, 4, 2, 0, 0, 2, 3, 3, 3, 1, 4, 4, 2, 0, 0, 3, 3, 3, 3, 2, 0, 1, 0, 2, 1, 2, 3, 2, 3, 4, 0, 4, 3, 3, 3, 4, 0, 0, 4, 0, 2, 2, 2, 2, 1, 4, 0, 4, 3, 3, 0, 3, 1, 4, 0, 2, 3, 3, 1, 0, 3, 0, 1, 1, 4, 2, 4, 3, 2, 3, 4, 3, 0, 0, 3, 2, 0, 3, 0, 2, 2, 3, 0, 3, 3, 2, 3, 1, 0, 3, 4, 3, 0, 0, 2, 4, 0, 2, 0, 1, 4, 1, 2, 0, 0, 4, 3, 3, 0, 0, 3, 0, 0, 2, 1, 3, 1, 4, 0, 4, 3, 1, 2, 2, 3, 4, 0, 3, 2, 2, 0, 2, 0]
pubkeycol416 = [0, 1, 4, 1, 4, 3, 0, 2, 0, 0, 0, 1, 1, 3, 4, 0, 4, 3, 1, 4, 4, 3, 4, 1, 1, 4, 2, 1, 4, 2, 0, 2, 2, 1, 4, 3, 4, 3, 4, 3, 2, 1, 4, 4, 2, 4, 0, 4, 2, 1, 2, 1, 4, 1, 3, 0, 2, 4, 4, 2, 4, 4, 1, 1, 2, 1, 4, 0, 1, 3, 0, 3, 2, 4, 3, 4, 2, 1, 3, 3, 2, 3, 2, 2, 1, 1, 4, 4, 3, 3, 4, 3, 2, 2, 3, 4, 0, 0, 1, 3, 4, 1, 3, 2, 3, 4, 4, 2, 1, 1, 0, 3, 2, 4, 4, 0, 1, 4, 2, 3, 0, 3, 1, 4, 4, 3, 2, 2, 3, 1, 0, 3, 1, 1, 4, 4, 0, 3, 4, 2, 3, 2, 4, 2, 0, 1, 2, 3, 3, 4, 2, 3, 1, 2, 2, 4, 3, 0, 0, 2, 0, 4, 3, 3, 1, 2, 0, 4, 0, 0, 1, 1, 3, 0, 3, 1, 1, 4, 1, 2, 2, 2, 0, 2, 3, 1, 4, 2, 2, 2, 2, 3, 1, 1, 3, 2, 4, 3, 4, 3, 2, 2, 2, 0, 1, 0, 1, 3, 2, 3, 0, 3, 3, 1, 2, 3, 3, 1, 3, 4, 1, 1, 4, 0, 0, 4, 0, 3, 3, 1, 4, 3, 1, 1, 1, 0, 2, 2, 1, 2, 2, 4, 1, 2, 1, 1, 0, 4, 4, 3, 2, 3, 2, 3, 4, 3, 0, 1, 2, 3, 0, 0, 4, 0, 1, 0, 4, 3, 0, 4, 4, 2, 2, 4, 4, 3, 3, 2, 2, 0, 1, 3, 0, 3, 3, 2, 3, 1, 0, 1, 0, 1, 4, 0, 3, 4, 1, 1, 3, 2, 0, 4, 3, 1, 2, 2, 3, 1, 1, 3, 1, 4, 4, 3, 0, 1, 1, 0, 3, 1, 1, 4, 3, 2, 1, 3, 2, 0, 0, 0, 3, 4, 4, 3, 1, 0, 2, 4, 3, 3, 3, 3, 2, 4, 1, 2, 0, 4, 0, 3, 0, 2, 4, 0, 2, 3, 0, 1, 2, 3, 3, 3, 3, 4, 1, 0, 2, 1, 2, 0, 0, 3, 1, 4, 3, 0, 2, 3, 2, 0, 1, 3, 0, 3, 4, 0, 1, 2, 3, 1, 3, 4, 4, 1, 2, 3, 1, 4, 2, 2]
pubkeycol417 = [2, 2, 1, 3, 0, 1, 3, 0, 0, 2, 2, 1, 3, 2, 3, 4, 3, 1, 3, 3, 2, 1, 0, 0, 4, 2, 1, 3, 3, 1, 0, 4, 4, 2, 0, 1, 0, 0, 3, 4, 1, 1, 1, 1, 3, 1, 1, 0, 3, 4, 1, 3, 1, 3, 0, 4, 1, 2, 1, 3, 2, 4, 0, 3, 4, 1, 3, 4, 1, 1, 2, 1, 2, 1, 0, 2, 0, 3, 4, 0, 3, 0, 4, 3, 4, 3, 0, 4, 3, 2, 4, 3, 3, 4, 3, 0, 4, 4, 1, 1, 3, 4, 4, 1, 3, 0, 4, 0, 1, 2, 2, 1, 4, 3, 4, 1, 2, 2, 3, 3, 1, 2, 4, 2, 1, 3, 3, 0, 1, 0, 4, 3, 2, 3, 4, 2, 4, 1, 2, 2, 2, 2, 2, 4, 3, 0, 4, 4, 2, 0, 1, 2, 1, 4, 0, 1, 2, 1, 4, 2, 0, 1, 2, 0, 3, 3, 1, 4, 3, 0, 2, 2, 0, 0, 0, 2, 3, 1, 4, 3, 4, 4, 2, 4, 2, 2, 1, 4, 0, 4, 2, 1, 1, 2, 0, 0, 4, 0, 4, 0, 0, 1, 1, 1, 0, 4, 0, 1, 3, 0, 2, 4, 3, 3, 0, 1, 1, 0, 1, 1, 1, 4, 2, 0, 0, 4, 0, 4, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 3, 3, 0, 1, 2, 1, 3, 1, 3, 3, 3, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 4, 0, 0, 2, 3, 4, 0, 0, 0, 3, 4, 1, 2, 1, 0, 0, 4, 4, 4, 2, 2, 1, 3, 4, 2, 1, 3, 0, 3, 0, 4, 3, 3, 0, 3, 3, 4, 2, 2, 4, 0, 3, 3, 0, 1, 2, 2, 2, 2, 0, 3, 1, 1, 0, 1, 1, 0, 1, 1, 4, 3, 0, 1, 4, 4, 4, 0, 3, 3, 1, 1, 2, 4, 3, 4, 3, 0, 2, 1, 2, 1, 2, 0, 4, 2, 4, 0, 3, 1, 3, 4, 0, 3, 1, 1, 2, 0, 0, 1, 3, 2, 0, 4, 0, 3, 4, 2, 0, 2, 0, 1, 0, 0, 4, 0, 1, 1, 4, 0, 4, 0, 4, 1, 2, 0, 1, 2, 0, 3, 1, 2, 4, 3]
pubkeycol418 = [0, 1, 2, 1, 2, 3, 3, 4, 3, 0, 3, 1, 4, 1, 1, 2, 0, 3, 0, 4, 1, 3, 1, 2, 1, 0, 1, 1, 0, 2, 4, 0, 3, 2, 1, 0, 1, 2, 4, 1, 3, 3, 2, 3, 3, 3, 2, 4, 2, 4, 0, 1, 0, 4, 3, 1, 4, 1, 3, 4, 1, 3, 3, 0, 1, 2, 4, 3, 2, 4, 0, 1, 0, 0, 0, 3, 2, 0, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 0, 3, 3, 0, 0, 2, 2, 1, 1, 0, 2, 3, 2, 1, 3, 0, 4, 2, 4, 0, 3, 0, 2, 1, 3, 2, 1, 4, 4, 1, 2, 3, 3, 3, 0, 3, 2, 0, 0, 4, 4, 0, 0, 3, 0, 2, 2, 3, 1, 2, 4, 0, 2, 2, 4, 1, 4, 3, 3, 1, 4, 2, 1, 0, 4, 3, 4, 1, 3, 1, 3, 1, 1, 3, 3, 2, 2, 4, 1, 3, 1, 1, 1, 1, 4, 0, 0, 3, 4, 1, 0, 4, 1, 1, 3, 1, 2, 0, 2, 3, 2, 1, 1, 4, 3, 3, 0, 3, 4, 4, 1, 2, 2, 0, 4, 4, 4, 2, 1, 0, 3, 3, 4, 0, 3, 0, 2, 2, 0, 4, 2, 2, 0, 4, 2, 3, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 3, 1, 2, 3, 4, 1, 3, 0, 1, 1, 1, 3, 4, 2, 0, 0, 1, 1, 0, 4, 1, 0, 1, 1, 0, 3, 4, 0, 1, 0, 0, 1, 0, 3, 4, 3, 0, 4, 0, 4, 2, 1, 1, 0, 0, 2, 2, 3, 0, 3, 1, 0, 0, 0, 4, 2, 0, 0, 0, 2, 1, 3, 0, 0, 3, 4, 4, 1, 3, 0, 1, 3, 3, 2, 1, 4, 0, 0, 2, 2, 3, 3, 2, 4, 4, 2, 0, 2, 1, 4, 3, 0, 3, 4, 0, 0, 3, 2, 2, 1, 2, 4, 4, 4, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 4, 0, 3, 0, 3, 4, 2, 1, 1, 3, 2, 0, 3, 1, 1, 2, 0, 3, 3, 0, 0, 3, 4, 3, 3, 0, 0, 3, 4, 4, 3, 3, 3, 0, 2, 2, 0, 3, 3, 1, 1, 2, 2, 3, 0, 1, 0]
pubkeycol419 = [0, 3, 3, 2, 0, 3, 2, 0, 3, 3, 4, 3, 4, 1, 4, 4, 1, 4, 2, 1, 3, 4, 3, 2, 4, 4, 4, 3, 1, 3, 4, 3, 0, 1, 1, 4, 0, 1, 1, 0, 1, 0, 0, 2, 0, 3, 0, 4, 2, 4, 0, 0, 2, 0, 4, 3, 1, 3, 2, 1, 0, 4, 0, 0, 0, 2, 4, 0, 3, 4, 0, 1, 3, 0, 0, 0, 0, 0, 2, 3, 1, 3, 3, 3, 1, 1, 3, 2, 0, 0, 3, 3, 0, 3, 2, 1, 3, 2, 0, 3, 3, 2, 3, 1, 0, 0, 1, 0, 2, 4, 3, 3, 2, 3, 0, 4, 0, 1, 3, 1, 2, 4, 1, 1, 3, 1, 3, 4, 0, 2, 3, 2, 1, 1, 0, 4, 3, 4, 1, 3, 0, 2, 4, 4, 2, 4, 2, 3, 1, 1, 4, 0, 0, 0, 3, 2, 2, 4, 4, 4, 0, 1, 1, 1, 3, 4, 4, 0, 0, 1, 0, 1, 0, 4, 0, 4, 0, 2, 3, 3, 1, 0, 4, 3, 4, 4, 1, 0, 2, 3, 0, 4, 4, 2, 1, 2, 3, 0, 3, 0, 1, 4, 0, 4, 0, 0, 3, 3, 2, 0, 1, 3, 4, 0, 1, 0, 3, 4, 0, 2, 2, 0, 4, 1, 1, 2, 4, 1, 3, 2, 0, 4, 3, 3, 2, 0, 2, 1, 1, 0, 0, 3, 1, 2, 0, 0, 3, 3, 1, 3, 4, 1, 2, 3, 0, 2, 2, 4, 1, 0, 3, 1, 3, 4, 3, 4, 4, 3, 3, 2, 1, 3, 1, 0, 3, 4, 2, 0, 3, 1, 2, 4, 1, 3, 0, 3, 4, 0, 2, 4, 3, 2, 4, 1, 1, 2, 1, 3, 2, 1, 1, 3, 4, 4, 2, 2, 1, 0, 0, 0, 4, 3, 1, 0, 0, 3, 1, 0, 3, 1, 3, 0, 4, 3, 2, 1, 3, 1, 3, 4, 4, 3, 0, 4, 2, 4, 0, 1, 0, 0, 4, 0, 3, 1, 3, 3, 3, 3, 1, 3, 3, 4, 3, 0, 2, 4, 1, 4, 4, 3, 0, 2, 4, 1, 2, 0, 3, 1, 3, 0, 3, 3, 2, 3, 1, 0, 2, 3, 4, 3, 3, 4, 2, 4, 2, 0, 2, 4, 4, 0, 0, 1, 1, 4, 2, 4, 2, 4, 1, 3]
pubkeycol420 = [3, 0, 1, 0, 2, 2, 2, 1, 4, 1, 4, 2, 0, 4, 2, 1, 4, 0, 1, 0, 2, 2, 4, 4, 4, 0, 1, 3, 4, 1, 4, 0, 3, 4, 0, 2, 4, 3, 4, 4, 2, 4, 3, 4, 1, 0, 3, 1, 1, 4, 1, 1, 4, 2, 3, 2, 2, 3, 0, 2, 0, 3, 2, 2, 3, 3, 1, 3, 4, 3, 4, 2, 1, 2, 4, 2, 3, 4, 4, 4, 3, 1, 1, 1, 3, 3, 2, 1, 4, 4, 4, 4, 4, 1, 2, 1, 2, 4, 1, 4, 2, 0, 1, 0, 4, 1, 2, 1, 1, 1, 1, 3, 1, 0, 1, 4, 0, 1, 0, 0, 4, 4, 0, 0, 3, 4, 3, 1, 4, 0, 3, 3, 0, 2, 2, 2, 0, 2, 1, 3, 1, 3, 3, 1, 4, 1, 0, 3, 3, 4, 4, 2, 1, 0, 3, 4, 1, 1, 4, 3, 3, 3, 0, 4, 4, 3, 1, 4, 2, 0, 0, 1, 2, 3, 4, 3, 2, 1, 2, 0, 3, 0, 3, 2, 0, 0, 2, 2, 0, 3, 2, 4, 1, 1, 3, 0, 1, 0, 4, 1, 1, 2, 1, 1, 2, 3, 4, 3, 0, 2, 1, 1, 3, 1, 3, 2, 1, 3, 1, 3, 4, 1, 2, 3, 4, 0, 2, 0, 2, 4, 0, 0, 4, 0, 4, 2, 2, 0, 3, 1, 3, 0, 3, 3, 1, 0, 0, 0, 0, 4, 0, 2, 2, 2, 0, 4, 4, 1, 4, 3, 2, 3, 1, 3, 3, 2, 3, 1, 0, 2, 4, 2, 1, 0, 4, 1, 1, 4, 0, 0, 2, 4, 3, 0, 4, 3, 1, 3, 1, 3, 0, 2, 2, 0, 2, 4, 2, 4, 4, 4, 2, 2, 1, 4, 4, 4, 0, 2, 0, 0, 0, 4, 2, 1, 4, 4, 1, 3, 0, 2, 0, 3, 3, 3, 2, 2, 4, 4, 0, 4, 3, 3, 2, 0, 4, 4, 1, 3, 0, 3, 0, 2, 4, 1, 4, 0, 0, 4, 4, 4, 4, 1, 3, 2, 0, 3, 1, 4, 0, 2, 1, 4, 3, 0, 3, 3, 1, 3, 4, 1, 4, 2, 3, 0, 2, 3, 1, 4, 1, 4, 3, 3, 2, 4, 1, 4, 2, 2, 4, 3, 2, 4, 1, 2, 1, 1, 2, 0, 3, 2]
pubkeycol421 = [0, 3, 0, 3, 3, 2, 0, 4, 4, 0, 2, 0, 3, 3, 4, 0, 0, 1, 2, 0, 3, 0, 1, 3, 1, 1, 1, 0, 3, 2, 4, 3, 3, 3, 2, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 1, 2, 1, 1, 0, 1, 2, 3, 4, 1, 4, 4, 2, 4, 3, 4, 2, 2, 3, 0, 3, 2, 4, 4, 1, 0, 2, 1, 4, 3, 2, 0, 0, 0, 1, 4, 3, 3, 4, 4, 2, 4, 4, 3, 2, 1, 3, 3, 0, 4, 0, 4, 0, 4, 4, 0, 1, 1, 3, 4, 4, 2, 1, 0, 0, 3, 1, 4, 1, 3, 1, 0, 1, 2, 1, 0, 3, 0, 3, 1, 4, 2, 3, 3, 0, 4, 0, 1, 3, 1, 1, 0, 4, 0, 4, 3, 2, 3, 2, 4, 2, 3, 4, 2, 4, 0, 1, 2, 1, 4, 0, 1, 3, 4, 1, 3, 4, 1, 0, 4, 1, 3, 0, 2, 3, 1, 2, 1, 0, 1, 1, 1, 0, 3, 2, 0, 0, 4, 3, 1, 2, 4, 2, 0, 1, 2, 2, 4, 1, 3, 1, 1, 0, 2, 0, 1, 4, 4, 4, 0, 4, 2, 2, 1, 2, 2, 2, 3, 4, 2, 0, 3, 1, 2, 3, 3, 1, 4, 4, 2, 1, 0, 3, 1, 4, 0, 0, 3, 2, 0, 1, 3, 1, 1, 1, 3, 3, 0, 1, 0, 0, 2, 1, 4, 4, 4, 3, 3, 2, 4, 1, 4, 3, 0, 2, 4, 3, 0, 4, 4, 0, 3, 4, 2, 3, 4, 4, 2, 0, 4, 3, 0, 2, 4, 2, 3, 4, 1, 1, 1, 1, 4, 2, 0, 4, 2, 0, 4, 0, 4, 3, 2, 0, 2, 4, 1, 1, 3, 4, 4, 0, 4, 0, 4, 4, 3, 1, 0, 4, 2, 2, 4, 1, 1, 4, 1, 4, 2, 4, 0, 4, 3, 3, 0, 2, 0, 4, 3, 4, 4, 1, 3, 2, 0, 2, 1, 1, 3, 4, 4, 2, 4, 1, 1, 3, 0, 1, 1, 0, 3, 4, 2, 2, 0, 1, 4, 0, 0, 3, 3, 1, 1, 0, 2, 1, 3, 3, 1, 0, 3, 1, 4, 4, 3, 2, 4, 2, 1, 4, 3, 4, 2, 0, 3, 2, 2, 1, 0, 0, 4, 2, 3, 2, 1, 4]
pubkeycol422 = [4, 3, 0, 3, 0, 3, 3, 4, 0, 1, 2, 0, 4, 4, 4, 4, 0, 4, 1, 0, 1, 1, 2, 1, 3, 4, 1, 2, 0, 4, 2, 4, 1, 1, 0, 4, 3, 4, 0, 4, 4, 0, 2, 0, 2, 3, 2, 3, 4, 1, 1, 1, 0, 3, 0, 2, 1, 1, 0, 2, 0, 1, 4, 1, 1, 0, 0, 0, 0, 4, 4, 3, 1, 0, 1, 4, 3, 1, 0, 0, 0, 0, 0, 4, 3, 3, 4, 4, 2, 0, 4, 2, 1, 0, 4, 0, 4, 3, 1, 4, 1, 4, 2, 0, 1, 4, 3, 2, 4, 2, 2, 3, 1, 3, 3, 4, 0, 4, 4, 1, 0, 1, 0, 4, 1, 1, 0, 1, 4, 4, 4, 2, 0, 2, 4, 1, 4, 1, 3, 2, 0, 4, 2, 0, 2, 1, 2, 2, 3, 0, 1, 0, 3, 4, 1, 4, 3, 0, 2, 2, 2, 3, 4, 3, 4, 0, 4, 0, 3, 2, 3, 1, 4, 4, 3, 0, 1, 4, 0, 4, 0, 0, 1, 4, 3, 1, 3, 0, 0, 2, 4, 3, 4, 3, 0, 4, 1, 3, 2, 3, 4, 3, 4, 1, 1, 0, 4, 1, 1, 4, 3, 0, 3, 3, 2, 4, 2, 3, 3, 4, 1, 3, 1, 0, 0, 3, 0, 2, 4, 4, 0, 1, 4, 0, 2, 1, 1, 1, 1, 4, 2, 4, 3, 1, 3, 3, 0, 4, 2, 4, 0, 1, 2, 1, 2, 0, 1, 3, 2, 4, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 4, 4, 0, 0, 1, 3, 4, 4, 4, 3, 0, 3, 0, 4, 0, 2, 0, 3, 1, 0, 1, 0, 0, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 3, 4, 2, 3, 0, 0, 4, 2, 3, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 4, 3, 0, 2, 4, 1, 4, 1, 0, 0, 2, 1, 3, 4, 3, 0, 3, 0, 3, 2, 3, 2, 0, 3, 2, 0, 4, 3, 0, 3, 0, 4, 3, 3, 2, 3, 1, 1, 3, 4, 4, 2, 0, 0, 2, 0, 3, 0, 3, 3, 2, 1, 1, 3, 0, 4, 0, 2, 2, 1, 1, 3, 2, 1, 0, 3, 3, 0, 0, 4, 0]
pubkeycol423 = [4, 4, 1, 2, 0, 0, 3, 2, 4, 0, 1, 1, 3, 0, 0, 2, 3, 4, 2, 1, 4, 2, 0, 0, 2, 1, 4, 3, 3, 2, 2, 1, 3, 0, 0, 4, 1, 0, 2, 1, 3, 1, 2, 0, 0, 1, 1, 3, 3, 3, 4, 4, 0, 2, 1, 4, 4, 2, 4, 2, 4, 4, 4, 2, 3, 1, 1, 3, 2, 2, 3, 2, 2, 3, 1, 4, 2, 2, 4, 2, 0, 1, 3, 4, 2, 0, 4, 3, 3, 2, 3, 3, 4, 3, 0, 1, 0, 1, 3, 0, 3, 3, 2, 0, 2, 2, 0, 1, 1, 4, 0, 1, 0, 3, 2, 3, 4, 3, 0, 4, 1, 2, 0, 1, 1, 2, 1, 3, 0, 2, 0, 1, 2, 0, 1, 0, 4, 1, 2, 4, 1, 4, 0, 1, 1, 3, 2, 4, 2, 0, 1, 2, 2, 1, 3, 2, 1, 4, 3, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 3, 2, 4, 1, 2, 3, 1, 2, 0, 3, 4, 3, 3, 0, 1, 4, 0, 2, 4, 2, 1, 0, 4, 4, 1, 3, 4, 4, 3, 1, 4, 4, 0, 3, 4, 2, 1, 0, 0, 4, 1, 1, 1, 3, 3, 2, 4, 4, 4, 4, 2, 3, 3, 2, 2, 3, 4, 0, 2, 4, 0, 1, 1, 1, 3, 3, 2, 2, 3, 4, 1, 4, 0, 3, 1, 2, 0, 2, 1, 2, 1, 4, 3, 2, 0, 3, 3, 2, 4, 2, 4, 2, 2, 4, 0, 2, 2, 4, 0, 2, 3, 0, 3, 0, 3, 3, 4, 2, 3, 2, 0, 3, 1, 1, 0, 3, 2, 0, 3, 1, 2, 3, 1, 3, 1, 0, 2, 3, 4, 4, 3, 1, 0, 0, 2, 4, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 4, 3, 4, 0, 2, 1, 1, 2, 4, 0, 3, 4, 0, 1, 0, 4, 3, 1, 0, 1, 4, 2, 2, 4, 3, 0, 1, 3, 3, 0, 0, 0, 4, 3, 1, 3, 1, 3, 1, 2, 4, 1, 0, 4, 4, 2, 4, 1, 2, 0, 1, 3, 1, 2, 0, 0, 0, 2, 3, 1, 3, 0, 0, 3, 3, 1, 4, 4, 4, 4, 0, 0, 3, 4, 3, 1, 2, 4, 1, 2, 3, 2, 1, 1, 1]
pubkeycol424 = [2, 4, 0, 4, 0, 4, 2, 4, 1, 1, 2, 4, 3, 1, 4, 3, 2, 0, 0, 0, 2, 3, 0, 1, 3, 3, 3, 2, 1, 2, 1, 3, 3, 2, 1, 0, 2, 4, 1, 4, 1, 0, 4, 4, 3, 1, 3, 4, 4, 3, 1, 0, 3, 0, 4, 2, 3, 2, 1, 1, 2, 2, 2, 2, 0, 2, 4, 1, 1, 3, 0, 0, 1, 0, 0, 0, 1, 3, 3, 1, 0, 2, 3, 0, 3, 3, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 4, 4, 1, 1, 4, 3, 1, 3, 1, 3, 4, 1, 2, 0, 2, 3, 4, 2, 1, 4, 4, 1, 3, 3, 1, 3, 3, 0, 3, 0, 4, 1, 4, 0, 1, 0, 2, 0, 3, 1, 2, 4, 2, 0, 3, 0, 2, 0, 0, 3, 2, 2, 1, 4, 1, 3, 0, 1, 2, 4, 4, 4, 3, 0, 4, 2, 0, 3, 1, 1, 2, 4, 2, 3, 3, 1, 1, 0, 1, 4, 3, 2, 0, 0, 4, 3, 2, 0, 4, 4, 1, 4, 2, 1, 0, 3, 2, 1, 4, 4, 3, 0, 0, 2, 0, 2, 4, 1, 0, 2, 1, 0, 0, 3, 1, 0, 0, 4, 3, 2, 0, 0, 2, 1, 4, 3, 2, 1, 2, 4, 0, 2, 2, 0, 0, 4, 3, 1, 3, 4, 4, 3, 0, 2, 0, 2, 3, 1, 4, 3, 2, 3, 4, 2, 4, 4, 3, 2, 2, 3, 3, 3, 1, 0, 3, 1, 3, 1, 1, 3, 3, 1, 4, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 4, 1, 4, 2, 4, 3, 4, 4, 0, 4, 1, 3, 4, 0, 4, 0, 0, 0, 1, 2, 3, 2, 4, 2, 3, 3, 0, 0, 4, 2, 4, 1, 2, 3, 0, 2, 0, 0, 4, 0, 4, 0, 2, 1, 0, 1, 4, 0, 4, 3, 3, 2, 1, 1, 3, 3, 3, 3, 2, 0, 3, 2, 0, 3, 4, 4, 2, 4, 4, 4, 3, 4, 1, 4, 0, 2, 2, 4, 1, 1, 3, 2, 2, 3, 2, 4, 3, 2, 3, 0, 1, 0, 1, 4, 0, 2, 1, 2, 2, 4, 3, 1, 3, 1, 3, 4, 4, 4, 3, 2, 1, 1, 4, 1, 2, 2, 3]
pubkeycol425 = [1, 0, 2, 0, 1, 2, 1, 2, 4, 3, 3, 0, 4, 2, 0, 0, 2, 0, 2, 2, 2, 4, 3, 4, 0, 0, 3, 3, 4, 0, 0, 4, 3, 2, 0, 2, 1, 2, 1, 0, 1, 4, 3, 3, 3, 0, 2, 2, 4, 0, 2, 0, 0, 0, 4, 1, 0, 3, 1, 2, 2, 3, 3, 2, 4, 3, 3, 0, 0, 0, 4, 4, 2, 1, 2, 3, 2, 2, 0, 2, 4, 4, 1, 1, 4, 4, 3, 2, 2, 4, 0, 3, 1, 0, 0, 1, 0, 4, 2, 0, 2, 1, 1, 4, 4, 2, 4, 3, 2, 4, 0, 0, 4, 1, 3, 3, 3, 4, 3, 4, 0, 4, 4, 3, 4, 3, 2, 1, 1, 1, 4, 4, 4, 3, 2, 4, 2, 0, 1, 2, 3, 0, 2, 3, 1, 1, 3, 2, 3, 4, 3, 0, 1, 4, 2, 1, 3, 0, 4, 3, 4, 2, 0, 3, 1, 1, 1, 0, 1, 0, 4, 1, 0, 0, 3, 0, 2, 1, 4, 0, 2, 4, 0, 1, 3, 4, 1, 3, 0, 2, 3, 1, 1, 3, 3, 1, 2, 4, 3, 4, 2, 0, 3, 4, 0, 4, 2, 1, 2, 1, 4, 3, 4, 1, 2, 1, 2, 0, 1, 4, 3, 4, 2, 1, 3, 3, 3, 4, 0, 3, 0, 0, 1, 3, 4, 4, 0, 2, 1, 0, 0, 1, 3, 4, 2, 3, 3, 2, 3, 0, 4, 0, 2, 3, 4, 0, 1, 0, 4, 0, 0, 1, 0, 1, 1, 0, 0, 4, 3, 0, 2, 1, 2, 0, 4, 1, 2, 1, 2, 4, 3, 4, 1, 1, 2, 3, 4, 0, 1, 4, 3, 4, 4, 1, 1, 4, 4, 1, 0, 3, 4, 1, 4, 4, 1, 3, 4, 3, 1, 4, 3, 2, 0, 3, 1, 3, 4, 2, 3, 1, 3, 4, 4, 3, 4, 4, 2, 0, 1, 0, 0, 1, 3, 0, 0, 0, 4, 4, 3, 4, 0, 0, 0, 2, 0, 3, 3, 4, 2, 4, 4, 3, 1, 2, 4, 1, 4, 0, 1, 1, 4, 4, 2, 3, 2, 4, 0, 2, 3, 1, 0, 1, 0, 0, 2, 1, 4, 3, 0, 1, 0, 2, 4, 4, 1, 1, 2, 2, 2, 1, 0, 3, 1, 3, 0, 1, 0, 0, 2, 4]
pubkeycol426 = [4, 4, 0, 0, 1, 3, 1, 3, 4, 0, 4, 4, 4, 3, 0, 1, 1, 2, 2, 3, 4, 3, 0, 2, 3, 1, 1, 3, 1, 1, 4, 3, 0, 1, 2, 2, 0, 4, 1, 2, 2, 0, 3, 2, 1, 0, 4, 3, 4, 1, 4, 2, 1, 3, 3, 1, 0, 4, 3, 3, 4, 1, 4, 1, 4, 4, 4, 2, 3, 3, 2, 3, 3, 0, 4, 2, 4, 1, 0, 3, 4, 0, 2, 0, 0, 0, 1, 1, 3, 3, 0, 2, 3, 1, 1, 2, 1, 3, 3, 1, 4, 2, 1, 4, 1, 3, 3, 3, 4, 4, 0, 3, 0, 4, 3, 3, 4, 4, 2, 0, 0, 3, 4, 0, 3, 4, 1, 3, 2, 4, 0, 0, 0, 3, 0, 3, 2, 4, 4, 3, 2, 3, 1, 0, 4, 0, 0, 3, 0, 4, 4, 3, 2, 4, 1, 2, 3, 1, 3, 3, 3, 1, 2, 3, 0, 1, 2, 3, 1, 2, 0, 2, 4, 3, 0, 1, 0, 2, 2, 3, 4, 3, 2, 2, 1, 0, 0, 4, 0, 2, 4, 2, 1, 2, 2, 1, 1, 3, 4, 1, 1, 3, 1, 4, 4, 3, 4, 1, 0, 4, 3, 1, 2, 1, 3, 1, 3, 3, 2, 3, 4, 3, 4, 3, 2, 4, 0, 1, 4, 1, 2, 1, 0, 4, 4, 0, 0, 0, 2, 0, 0, 2, 4, 0, 4, 4, 4, 1, 3, 0, 2, 1, 1, 2, 2, 3, 1, 2, 2, 2, 3, 3, 4, 1, 3, 1, 1, 2, 1, 0, 2, 0, 4, 4, 3, 1, 2, 1, 3, 4, 2, 0, 4, 2, 4, 2, 2, 1, 0, 4, 3, 0, 3, 2, 4, 3, 4, 4, 0, 4, 3, 0, 3, 0, 4, 4, 2, 4, 3, 2, 0, 3, 1, 2, 2, 4, 4, 2, 4, 3, 0, 0, 1, 4, 3, 2, 4, 1, 4, 0, 2, 0, 2, 4, 4, 0, 3, 4, 3, 1, 2, 4, 4, 3, 3, 0, 1, 4, 3, 0, 4, 2, 0, 3, 1, 0, 3, 2, 4, 2, 2, 4, 3, 4, 4, 4, 1, 3, 1, 3, 0, 4, 1, 2, 3, 0, 3, 3, 0, 4, 1, 0, 4, 0, 1, 3, 3, 1, 0, 2, 1, 3, 2, 0, 4, 1, 2, 1, 3, 0]
pubkeycol427 = [1, 4, 4, 3, 4, 0, 3, 4, 2, 4, 3, 0, 3, 1, 3, 1, 4, 1, 2, 3, 1, 1, 2, 4, 4, 0, 3, 1, 3, 3, 4, 2, 1, 1, 2, 1, 4, 1, 1, 1, 0, 0, 1, 0, 4, 1, 2, 4, 2, 0, 1, 1, 3, 3, 4, 3, 1, 2, 0, 0, 3, 3, 2, 0, 1, 4, 0, 3, 2, 0, 4, 1, 0, 3, 3, 3, 3, 2, 0, 4, 0, 1, 2, 0, 4, 1, 0, 1, 4, 0, 2, 1, 4, 4, 4, 0, 4, 0, 3, 4, 2, 3, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 3, 3, 1, 0, 2, 0, 1, 1, 4, 4, 0, 3, 1, 0, 4, 0, 3, 3, 2, 2, 0, 0, 1, 4, 4, 0, 1, 4, 1, 2, 1, 1, 1, 2, 4, 1, 2, 1, 3, 2, 4, 0, 0, 4, 1, 0, 3, 0, 3, 0, 4, 1, 4, 0, 0, 3, 1, 0, 0, 1, 0, 3, 4, 2, 3, 1, 2, 1, 2, 0, 2, 3, 3, 4, 3, 4, 3, 4, 1, 2, 2, 1, 0, 3, 0, 4, 4, 1, 0, 0, 1, 1, 1, 2, 2, 3, 2, 2, 3, 0, 3, 2, 3, 3, 4, 0, 3, 4, 4, 2, 2, 3, 4, 0, 1, 1, 1, 1, 4, 4, 0, 0, 1, 0, 0, 4, 4, 4, 2, 2, 3, 2, 3, 2, 3, 3, 4, 0, 1, 2, 1, 4, 1, 3, 3, 3, 4, 3, 0, 3, 1, 0, 4, 3, 1, 1, 4, 2, 3, 3, 2, 2, 4, 1, 4, 0, 4, 0, 3, 3, 0, 2, 3, 1, 2, 1, 1, 2, 2, 4, 4, 4, 4, 3, 2, 3, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 4, 3, 1, 1, 2, 3, 4, 3, 1, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 2, 3, 4, 3, 1, 2, 3, 1, 1, 3, 1, 4, 0, 0, 1, 4, 1, 1, 1, 2, 4, 3, 1, 4, 0, 1, 0, 1, 1, 1, 0, 0, 4, 2, 4, 3, 3, 2, 3, 1, 2, 0, 3, 3, 1, 1, 0, 3, 1, 2, 3, 2, 1, 0, 3, 3, 3, 3, 2, 2, 1, 2, 2, 4, 3, 2, 1, 1, 4, 4, 3]
pubkeycol428 = [1, 3, 0, 2, 2, 1, 2, 4, 3, 3, 0, 0, 4, 2, 3, 1, 2, 2, 0, 0, 2, 0, 4, 1, 2, 3, 1, 2, 3, 3, 2, 4, 1, 4, 4, 1, 1, 4, 3, 3, 3, 0, 2, 2, 3, 1, 0, 4, 2, 4, 0, 4, 2, 2, 2, 0, 4, 4, 4, 2, 4, 2, 3, 3, 2, 3, 3, 0, 1, 4, 1, 2, 1, 3, 2, 2, 3, 1, 1, 1, 2, 2, 0, 0, 1, 3, 2, 0, 4, 1, 0, 3, 0, 3, 4, 0, 2, 1, 0, 0, 0, 3, 3, 3, 1, 4, 1, 0, 4, 3, 0, 2, 1, 4, 0, 2, 4, 0, 0, 1, 1, 4, 1, 4, 0, 0, 3, 0, 1, 4, 2, 1, 2, 3, 1, 0, 4, 3, 0, 4, 4, 2, 4, 1, 2, 3, 2, 0, 0, 3, 4, 2, 1, 2, 4, 3, 1, 4, 1, 0, 3, 4, 0, 3, 3, 4, 3, 0, 4, 0, 1, 4, 3, 3, 3, 3, 1, 0, 4, 1, 0, 4, 2, 1, 1, 3, 1, 1, 2, 3, 3, 4, 3, 4, 0, 0, 3, 0, 2, 1, 2, 1, 1, 2, 4, 0, 4, 1, 4, 1, 1, 4, 2, 2, 2, 4, 3, 4, 3, 2, 1, 3, 1, 4, 3, 4, 3, 0, 0, 1, 1, 0, 3, 4, 0, 4, 4, 2, 4, 2, 4, 3, 4, 2, 4, 0, 3, 3, 3, 3, 3, 1, 3, 2, 3, 1, 4, 0, 4, 3, 1, 3, 4, 2, 0, 2, 0, 0, 1, 0, 0, 1, 3, 1, 1, 2, 2, 3, 0, 3, 0, 1, 2, 2, 4, 0, 4, 1, 0, 2, 0, 3, 0, 3, 1, 3, 0, 1, 2, 2, 3, 2, 1, 4, 4, 3, 4, 4, 4, 2, 4, 4, 4, 1, 0, 3, 4, 1, 0, 0, 1, 3, 3, 1, 4, 3, 0, 2, 0, 4, 1, 2, 4, 0, 2, 4, 0, 2, 2, 2, 2, 4, 4, 4, 0, 1, 3, 1, 0, 3, 1, 4, 0, 0, 1, 3, 3, 4, 2, 1, 2, 3, 4, 0, 0, 1, 1, 0, 1, 3, 3, 0, 2, 2, 2, 4, 2, 4, 1, 3, 0, 2, 2, 0, 3, 0, 2, 0, 1, 3, 2, 3, 3, 0, 3, 3, 0, 0, 1, 0]
pubkeycol429 = [1, 2, 1, 4, 0, 4, 0, 4, 2, 2, 2, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 3, 1, 0, 3, 0, 2, 3, 4, 3, 3, 1, 3, 1, 3, 3, 2, 1, 2, 4, 4, 2, 2, 3, 0, 1, 0, 4, 0, 3, 1, 3, 3, 2, 3, 1, 1, 4, 4, 3, 1, 1, 0, 0, 0, 4, 3, 3, 0, 3, 3, 0, 1, 3, 2, 1, 3, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 3, 4, 4, 4, 0, 1, 2, 3, 4, 4, 4, 1, 3, 1, 1, 1, 3, 3, 2, 4, 2, 0, 0, 1, 2, 3, 0, 3, 4, 4, 0, 4, 3, 1, 3, 0, 3, 2, 1, 4, 0, 4, 1, 4, 3, 3, 3, 2, 0, 1, 4, 2, 2, 0, 4, 2, 0, 3, 0, 1, 4, 1, 3, 3, 0, 3, 0, 3, 0, 0, 4, 4, 4, 3, 2, 1, 3, 4, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 4, 2, 0, 1, 4, 4, 1, 3, 4, 3, 0, 3, 1, 1, 2, 0, 0, 3, 4, 2, 1, 0, 4, 2, 1, 1, 0, 4, 2, 0, 2, 2, 2, 0, 2, 1, 3, 4, 3, 1, 3, 4, 3, 2, 3, 2, 3, 3, 4, 1, 3, 2, 4, 0, 0, 4, 3, 4, 0, 1, 3, 2, 3, 1, 4, 2, 3, 2, 2, 3, 4, 3, 3, 3, 1, 0, 4, 1, 4, 4, 4, 1, 0, 0, 2, 0, 3, 3, 1, 1, 0, 3, 2, 0, 3, 0, 4, 2, 2, 2, 0, 4, 3, 0, 3, 2, 4, 2, 3, 3, 3, 0, 1, 4, 1, 3, 3, 1, 2, 2, 0, 1, 1, 0, 0, 4, 1, 4, 4, 0, 4, 2, 1, 3, 0, 0, 2, 3, 1, 4, 4, 2, 1, 1, 2, 0, 3, 3, 2, 0, 4, 1, 2, 0, 1, 0, 3, 1, 1, 2, 4, 2, 2, 3, 4, 2, 4, 2, 1, 0, 4, 0, 3, 4, 3, 4, 0, 2, 3, 2, 4, 4, 0, 2, 1, 2, 1, 0, 4, 0, 3, 4, 1, 2, 2, 4, 2, 4, 4, 4, 2, 4, 2, 4, 2, 3, 0, 4, 4, 3, 0, 0, 4, 4, 0, 2, 3, 0, 2]
pubkeycol430 = [4, 3, 3, 1, 0, 2, 0, 1, 4, 2, 1, 0, 1, 3, 2, 0, 3, 1, 0, 2, 3, 4, 2, 0, 1, 1, 1, 0, 1, 2, 3, 0, 3, 0, 0, 1, 2, 4, 0, 3, 2, 2, 0, 0, 1, 4, 1, 3, 0, 0, 4, 1, 2, 0, 0, 2, 4, 2, 4, 2, 3, 3, 1, 1, 1, 4, 2, 3, 3, 0, 0, 1, 4, 0, 1, 0, 2, 3, 2, 0, 0, 2, 0, 4, 0, 4, 3, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 4, 2, 4, 1, 3, 0, 3, 2, 2, 1, 0, 3, 1, 3, 3, 0, 1, 1, 2, 4, 3, 1, 4, 4, 0, 4, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 4, 0, 4, 1, 2, 0, 3, 2, 1, 2, 0, 0, 3, 4, 2, 3, 4, 1, 0, 4, 2, 3, 4, 1, 0, 0, 2, 1, 4, 2, 0, 0, 1, 0, 3, 3, 4, 4, 0, 4, 3, 3, 0, 2, 0, 1, 2, 0, 4, 4, 0, 4, 3, 4, 4, 0, 4, 4, 3, 1, 2, 3, 1, 1, 1, 3, 2, 3, 1, 3, 4, 4, 4, 1, 0, 1, 0, 2, 1, 1, 3, 3, 4, 2, 4, 2, 3, 2, 1, 2, 1, 3, 1, 1, 4, 1, 3, 2, 0, 0, 0, 2, 3, 4, 2, 0, 0, 0, 3, 4, 0, 1, 0, 4, 4, 1, 4, 0, 1, 3, 3, 3, 3, 3, 0, 4, 4, 4, 4, 3, 3, 0, 1, 3, 3, 4, 3, 1, 0, 4, 3, 4, 3, 2, 4, 0, 2, 0, 4, 1, 0, 4, 2, 0, 0, 3, 4, 0, 3, 0, 1, 1, 1, 2, 1, 3, 4, 4, 2, 2, 0, 3, 4, 0, 0, 3, 3, 4, 2, 1, 1, 1, 2, 4, 3, 4, 0, 1, 4, 4, 1, 1, 3, 1, 1, 4, 1, 3, 2, 3, 1, 0, 4, 0, 2, 0, 0, 3, 2, 4, 4, 2, 1, 4, 3, 1, 1, 1, 4, 4, 2, 4, 1, 3, 2, 1, 2, 0, 3, 1, 4, 4, 2, 2, 0, 2, 4, 3, 0, 3, 3, 3, 2, 3, 0, 0, 2, 3, 1, 4, 1, 3, 0, 4, 1, 0, 0, 1, 1, 1, 1]
pubkeycol431 = [2, 1, 2, 3, 4, 1, 0, 4, 4, 0, 4, 2, 1, 1, 0, 1, 3, 4, 1, 1, 3, 3, 3, 3, 2, 0, 1, 1, 2, 3, 4, 3, 4, 0, 4, 0, 2, 2, 0, 3, 1, 3, 2, 2, 3, 3, 2, 3, 2, 4, 1, 3, 1, 3, 4, 0, 3, 3, 3, 2, 0, 0, 0, 3, 4, 2, 4, 3, 2, 1, 4, 0, 1, 2, 4, 4, 3, 3, 1, 2, 1, 1, 3, 3, 3, 0, 4, 0, 1, 0, 1, 4, 3, 1, 1, 0, 2, 0, 2, 2, 1, 4, 3, 2, 4, 2, 1, 4, 0, 1, 1, 0, 1, 3, 4, 0, 3, 4, 0, 3, 4, 4, 0, 1, 1, 0, 3, 4, 1, 4, 3, 2, 3, 0, 1, 0, 3, 1, 4, 4, 3, 4, 1, 4, 2, 0, 0, 3, 0, 3, 4, 0, 3, 2, 2, 4, 0, 0, 1, 2, 1, 3, 2, 2, 2, 0, 1, 4, 4, 0, 1, 0, 1, 4, 3, 4, 0, 0, 4, 3, 0, 4, 4, 0, 4, 0, 1, 1, 1, 2, 2, 0, 4, 2, 4, 1, 4, 0, 1, 3, 1, 0, 1, 2, 0, 2, 2, 0, 3, 1, 2, 3, 1, 2, 2, 3, 4, 4, 1, 1, 1, 1, 1, 4, 0, 4, 0, 4, 2, 4, 3, 3, 3, 2, 3, 4, 1, 0, 3, 3, 0, 4, 2, 2, 0, 4, 2, 4, 0, 3, 3, 1, 3, 1, 2, 4, 0, 4, 2, 0, 0, 3, 4, 1, 1, 3, 0, 3, 1, 4, 0, 1, 1, 4, 2, 4, 3, 0, 1, 3, 3, 4, 4, 1, 3, 0, 0, 1, 1, 3, 1, 4, 0, 0, 3, 0, 0, 0, 1, 0, 3, 3, 3, 1, 0, 0, 4, 3, 3, 2, 2, 2, 2, 4, 3, 0, 2, 4, 3, 1, 2, 0, 2, 3, 3, 1, 4, 4, 4, 3, 3, 0, 1, 4, 0, 1, 2, 3, 3, 3, 1, 0, 1, 4, 4, 3, 4, 3, 2, 2, 1, 0, 4, 3, 4, 2, 2, 4, 3, 1, 1, 0, 1, 0, 2, 3, 0, 0, 1, 3, 2, 0, 1, 1, 0, 1, 3, 4, 0, 2, 1, 4, 3, 0, 3, 0, 3, 2, 2, 4, 3, 0, 4, 1, 3, 4, 4, 3, 0, 3]
pubkeycol432 = [1, 4, 4, 0, 2, 4, 3, 1, 3, 1, 0, 2, 0, 0, 3, 2, 3, 2, 0, 3, 3, 1, 3, 3, 2, 1, 0, 4, 4, 4, 4, 3, 0, 4, 1, 2, 2, 2, 2, 2, 1, 3, 2, 4, 2, 1, 2, 2, 1, 3, 3, 4, 3, 2, 0, 4, 1, 3, 3, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 3, 3, 3, 1, 1, 0, 2, 2, 0, 1, 1, 4, 0, 2, 1, 1, 0, 2, 2, 1, 3, 4, 1, 3, 1, 0, 1, 0, 4, 3, 2, 3, 0, 3, 1, 1, 2, 4, 0, 4, 1, 0, 4, 1, 2, 3, 4, 3, 0, 2, 3, 4, 3, 4, 0, 1, 2, 1, 0, 2, 2, 2, 3, 0, 4, 2, 0, 2, 0, 0, 0, 1, 3, 3, 2, 0, 2, 4, 3, 2, 3, 2, 4, 2, 2, 3, 2, 4, 1, 1, 0, 1, 4, 1, 0, 3, 4, 4, 3, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 4, 0, 0, 1, 4, 1, 1, 0, 2, 4, 1, 3, 3, 0, 0, 3, 0, 4, 4, 0, 2, 2, 0, 2, 1, 2, 3, 3, 2, 1, 1, 1, 1, 3, 0, 2, 4, 4, 1, 1, 0, 2, 0, 3, 4, 0, 3, 0, 4, 4, 4, 3, 0, 4, 1, 1, 1, 0, 3, 4, 3, 0, 3, 4, 2, 3, 1, 3, 2, 0, 0, 2, 3, 3, 3, 0, 1, 2, 2, 3, 4, 0, 4, 3, 1, 0, 2, 1, 0, 2, 0, 2, 1, 4, 4, 4, 2, 0, 1, 4, 3, 4, 4, 4, 2, 3, 0, 2, 4, 2, 1, 4, 3, 4, 0, 0, 4, 3, 0, 4, 2, 2, 0, 1, 2, 4, 0, 0, 1, 0, 0, 2, 0, 3, 2, 0, 3, 4, 0, 2, 3, 3, 3, 1, 1, 1, 0, 4, 1, 3, 3, 3, 2, 0, 4, 2, 4, 4, 0, 1, 0, 4, 3, 4, 3, 4, 4, 1, 4, 0, 3, 2, 4, 3, 1, 4, 2, 2, 2, 2, 4, 1, 4, 1, 2, 0, 2, 3, 0, 2, 4, 4, 0, 0, 3, 4, 4, 1, 0, 1, 0, 1, 3, 2, 2, 4, 1, 0, 3, 2, 3, 1, 3, 1, 2, 3, 1, 2, 3, 4, 0]
pubkeycol433 = [4, 4, 2, 0, 0, 2, 4, 4, 0, 2, 1, 3, 2, 0, 1, 3, 3, 0, 0, 2, 0, 3, 1, 4, 2, 3, 0, 4, 0, 0, 0, 3, 3, 4, 1, 4, 4, 4, 3, 3, 3, 1, 3, 1, 4, 4, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 4, 3, 0, 1, 2, 1, 2, 3, 0, 1, 3, 3, 3, 2, 1, 2, 0, 4, 2, 1, 0, 0, 2, 1, 2, 3, 4, 3, 2, 2, 1, 4, 3, 2, 2, 0, 4, 0, 1, 4, 3, 0, 3, 1, 3, 1, 0, 2, 2, 2, 2, 2, 1, 0, 4, 3, 4, 1, 2, 4, 1, 1, 0, 4, 3, 0, 1, 1, 4, 0, 2, 3, 1, 0, 2, 0, 4, 1, 4, 2, 3, 3, 1, 2, 1, 0, 4, 3, 1, 3, 4, 2, 3, 0, 3, 4, 4, 1, 4, 0, 3, 0, 3, 4, 4, 2, 2, 1, 2, 3, 3, 3, 1, 0, 0, 1, 4, 0, 1, 2, 2, 4, 4, 1, 1, 3, 4, 4, 2, 3, 3, 3, 4, 2, 1, 0, 3, 0, 3, 4, 2, 2, 3, 2, 0, 3, 2, 4, 3, 4, 0, 4, 2, 1, 2, 1, 1, 1, 4, 4, 4, 0, 0, 0, 0, 4, 1, 2, 0, 1, 3, 1, 1, 3, 1, 4, 3, 1, 4, 4, 0, 2, 0, 3, 1, 0, 0, 4, 1, 1, 2, 1, 0, 2, 1, 1, 3, 2, 3, 2, 4, 4, 2, 1, 1, 4, 0, 4, 2, 0, 1, 4, 0, 0, 4, 1, 1, 0, 0, 3, 4, 4, 2, 2, 4, 0, 2, 4, 3, 3, 1, 1, 0, 3, 0, 1, 3, 2, 4, 4, 3, 3, 2, 3, 1, 3, 1, 1, 1, 0, 1, 4, 4, 0, 4, 3, 3, 4, 0, 0, 3, 3, 4, 4, 3, 0, 3, 3, 4, 3, 2, 4, 4, 1, 3, 2, 2, 4, 4, 2, 1, 4, 2, 2, 1, 1, 1, 2, 3, 0, 4, 0, 3, 1, 0, 1, 4, 3, 4, 1, 0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 0, 1, 1, 1, 0, 3, 0, 4, 3, 4, 1, 4, 1, 2, 1, 2, 3, 2, 1, 1, 0, 4, 1, 0, 0, 3, 4, 0, 1, 2, 0, 3, 4, 0]
pubkeycol434 = [4, 3, 2, 3, 2, 0, 1, 3, 2, 3, 1, 2, 3, 3, 1, 0, 1, 0, 2, 3, 3, 1, 0, 3, 2, 3, 1, 0, 2, 2, 4, 3, 4, 4, 3, 1, 0, 4, 0, 0, 2, 2, 0, 0, 1, 2, 3, 3, 2, 4, 2, 0, 3, 4, 4, 2, 4, 1, 2, 4, 3, 0, 4, 4, 3, 2, 0, 2, 0, 1, 3, 1, 2, 1, 4, 2, 2, 3, 2, 0, 0, 4, 0, 2, 4, 1, 0, 1, 1, 4, 0, 2, 0, 2, 4, 3, 2, 3, 0, 3, 2, 0, 0, 1, 1, 1, 3, 4, 3, 3, 1, 4, 2, 3, 4, 0, 4, 1, 4, 2, 0, 2, 1, 1, 0, 3, 3, 0, 3, 3, 2, 2, 0, 1, 1, 3, 4, 1, 2, 3, 1, 3, 0, 4, 2, 0, 4, 2, 4, 4, 3, 3, 1, 4, 3, 0, 2, 3, 0, 4, 0, 2, 2, 1, 3, 1, 4, 1, 1, 0, 1, 4, 0, 0, 4, 1, 2, 0, 3, 3, 4, 1, 1, 2, 0, 0, 4, 1, 4, 4, 2, 1, 2, 4, 0, 3, 3, 2, 3, 2, 0, 0, 2, 2, 1, 3, 4, 1, 3, 2, 0, 3, 3, 2, 1, 0, 1, 1, 1, 0, 0, 4, 2, 4, 4, 1, 1, 4, 2, 3, 2, 2, 1, 0, 3, 4, 2, 4, 4, 3, 3, 4, 2, 1, 2, 3, 0, 0, 3, 0, 3, 4, 3, 1, 4, 3, 2, 3, 0, 3, 3, 0, 3, 0, 1, 2, 0, 4, 2, 2, 0, 4, 2, 0, 0, 2, 4, 4, 4, 3, 4, 1, 0, 1, 2, 1, 3, 2, 2, 0, 2, 0, 1, 4, 1, 1, 4, 1, 4, 2, 4, 2, 4, 2, 4, 1, 4, 3, 2, 1, 0, 4, 1, 1, 2, 1, 4, 0, 1, 3, 1, 3, 1, 1, 2, 0, 4, 0, 1, 1, 2, 3, 0, 2, 2, 2, 0, 0, 2, 4, 3, 4, 2, 3, 2, 3, 2, 0, 2, 2, 0, 2, 4, 3, 1, 1, 1, 4, 3, 2, 3, 1, 2, 0, 1, 0, 4, 2, 2, 2, 4, 3, 1, 1, 3, 1, 1, 1, 4, 3, 1, 0, 1, 2, 1, 2, 0, 2, 1, 3, 0, 2, 2, 1, 3, 3, 3, 0, 0, 4]
pubkeycol435 = [0, 1, 1, 3, 0, 0, 3, 1, 1, 3, 1, 0, 3, 0, 0, 3, 1, 1, 0, 1, 2, 1, 3, 4, 0, 2, 0, 0, 1, 3, 2, 3, 2, 2, 0, 3, 2, 0, 4, 1, 4, 2, 3, 4, 0, 1, 1, 2, 0, 1, 0, 4, 0, 3, 0, 0, 3, 1, 1, 2, 2, 4, 4, 2, 4, 1, 1, 0, 2, 0, 4, 4, 1, 1, 4, 3, 3, 0, 4, 2, 4, 1, 2, 4, 1, 4, 1, 1, 3, 4, 0, 1, 2, 0, 3, 3, 4, 3, 4, 1, 2, 0, 1, 0, 2, 0, 3, 4, 4, 1, 1, 1, 1, 4, 4, 3, 4, 4, 0, 4, 0, 4, 0, 3, 2, 2, 3, 2, 1, 3, 3, 1, 1, 4, 2, 2, 1, 3, 2, 3, 4, 2, 3, 4, 0, 2, 4, 2, 4, 3, 3, 3, 4, 1, 4, 1, 2, 3, 0, 4, 1, 0, 3, 4, 0, 1, 4, 4, 1, 4, 4, 2, 1, 1, 0, 2, 3, 4, 0, 3, 0, 2, 1, 2, 2, 3, 0, 3, 4, 0, 2, 4, 4, 2, 2, 0, 4, 2, 0, 2, 3, 3, 4, 4, 2, 0, 1, 1, 4, 4, 1, 4, 3, 0, 1, 4, 2, 3, 3, 4, 1, 0, 1, 0, 1, 1, 1, 3, 4, 1, 0, 0, 1, 1, 2, 4, 4, 0, 2, 3, 2, 4, 1, 2, 4, 2, 0, 0, 4, 2, 4, 3, 2, 1, 2, 1, 0, 4, 3, 3, 3, 1, 1, 3, 1, 3, 0, 4, 3, 3, 3, 3, 1, 4, 4, 4, 1, 3, 1, 2, 3, 0, 4, 4, 2, 1, 3, 1, 0, 1, 2, 2, 4, 4, 0, 3, 2, 0, 0, 1, 2, 2, 3, 4, 2, 2, 3, 4, 2, 3, 2, 4, 0, 3, 2, 4, 1, 3, 1, 4, 0, 4, 0, 0, 3, 2, 3, 2, 0, 0, 0, 2, 0, 0, 4, 3, 2, 3, 4, 1, 3, 2, 4, 4, 4, 0, 1, 0, 3, 0, 4, 3, 0, 0, 1, 3, 4, 4, 1, 1, 2, 1, 0, 3, 4, 1, 0, 2, 4, 0, 2, 0, 1, 4, 0, 2, 3, 3, 0, 0, 2, 1, 2, 4, 2, 1, 0, 2, 2, 4, 2, 2, 4, 1, 0, 0, 1, 1, 2, 0]
pubkeycol436 = [1, 2, 0, 3, 2, 3, 2, 1, 2, 2, 4, 4, 3, 2, 2, 3, 2, 1, 2, 4, 4, 3, 2, 2, 3, 1, 4, 2, 4, 4, 1, 3, 2, 2, 4, 0, 2, 2, 0, 0, 0, 3, 1, 4, 1, 0, 1, 4, 3, 0, 4, 2, 1, 4, 2, 1, 4, 2, 1, 2, 2, 0, 4, 3, 0, 4, 2, 2, 2, 4, 0, 1, 0, 1, 1, 0, 3, 3, 0, 2, 3, 0, 3, 4, 0, 2, 0, 2, 0, 4, 4, 1, 3, 4, 3, 3, 4, 2, 4, 3, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 3, 3, 4, 2, 0, 0, 3, 1, 0, 0, 4, 3, 0, 2, 4, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 4, 0, 0, 1, 3, 4, 2, 4, 1, 0, 0, 0, 2, 3, 4, 2, 1, 1, 3, 2, 0, 2, 4, 1, 1, 4, 4, 0, 2, 0, 2, 1, 4, 3, 0, 0, 2, 0, 1, 3, 0, 4, 2, 1, 3, 4, 1, 1, 3, 1, 1, 4, 0, 1, 1, 2, 3, 2, 0, 0, 0, 1, 3, 3, 4, 3, 2, 0, 4, 1, 1, 0, 4, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 1, 2, 3, 1, 1, 0, 0, 4, 4, 2, 1, 2, 4, 1, 2, 1, 2, 0, 1, 3, 4, 3, 4, 1, 1, 1, 4, 0, 3, 3, 2, 3, 0, 3, 4, 1, 1, 2, 2, 3, 1, 4, 2, 4, 3, 4, 4, 2, 3, 0, 0, 4, 3, 3, 1, 1, 0, 2, 0, 0, 1, 4, 3, 2, 3, 3, 3, 0, 3, 1, 3, 4, 3, 2, 2, 4, 2, 4, 3, 3, 4, 0, 1, 3, 0, 2, 2, 2, 1, 2, 3, 1, 3, 4, 0, 4, 3, 2, 3, 3, 2, 3, 3, 0, 0, 1, 0, 1, 1, 2, 2, 1, 4, 2, 0, 1, 2, 2, 2, 3, 3, 3, 0, 4, 0, 0, 2, 3, 3, 3, 3, 4, 0, 0, 2, 1, 4, 4, 2, 1, 0, 4, 4, 2, 4, 1, 4, 2, 1, 2, 3, 1, 0, 1, 4, 3, 4, 3, 0, 3, 3, 4, 2, 1, 0, 2, 3, 0, 1, 1, 3, 3, 3, 3]
pubkeycol437 = [2, 1, 1, 1, 1, 4, 0, 2, 2, 2, 0, 1, 4, 3, 4, 3, 1, 0, 1, 4, 1, 4, 1, 4, 3, 1, 1, 1, 1, 2, 1, 3, 2, 0, 1, 3, 4, 0, 1, 1, 4, 3, 3, 1, 2, 3, 3, 3, 2, 0, 4, 0, 4, 0, 0, 4, 3, 1, 2, 3, 2, 1, 2, 1, 4, 2, 4, 1, 4, 4, 4, 0, 4, 3, 4, 1, 0, 4, 1, 3, 0, 0, 0, 3, 2, 3, 2, 1, 4, 0, 4, 1, 1, 3, 1, 4, 2, 1, 1, 4, 0, 1, 1, 1, 2, 2, 4, 1, 2, 3, 1, 2, 4, 0, 3, 4, 3, 2, 1, 4, 2, 4, 3, 3, 0, 0, 3, 1, 4, 1, 0, 3, 1, 1, 3, 0, 1, 2, 3, 3, 3, 2, 0, 1, 4, 3, 2, 0, 4, 0, 1, 3, 0, 0, 3, 0, 4, 0, 4, 2, 0, 1, 0, 3, 3, 2, 1, 3, 2, 0, 2, 0, 2, 0, 2, 0, 4, 3, 2, 4, 3, 1, 0, 4, 1, 3, 1, 3, 3, 1, 2, 3, 0, 4, 0, 2, 2, 3, 1, 4, 0, 0, 3, 4, 0, 1, 0, 2, 2, 3, 4, 0, 0, 2, 4, 3, 0, 0, 3, 1, 4, 2, 2, 2, 2, 1, 3, 2, 1, 1, 4, 1, 1, 3, 3, 4, 0, 4, 2, 0, 2, 4, 0, 1, 4, 1, 2, 3, 2, 0, 4, 1, 2, 1, 2, 2, 3, 0, 1, 0, 2, 4, 4, 4, 3, 3, 0, 4, 2, 2, 2, 4, 4, 0, 0, 3, 0, 2, 1, 4, 2, 1, 2, 1, 4, 1, 0, 4, 2, 0, 2, 4, 2, 0, 0, 2, 4, 3, 0, 4, 0, 0, 3, 1, 0, 1, 3, 0, 3, 3, 3, 3, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 3, 2, 2, 0, 4, 0, 3, 1, 2, 1, 1, 2, 3, 1, 4, 2, 3, 3, 0, 3, 1, 4, 0, 3, 1, 1, 3, 1, 3, 4, 1, 0, 2, 1, 4, 0, 4, 2, 3, 3, 4, 0, 4, 2, 0, 1, 2, 0, 0, 3, 3, 1, 2, 4, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 4, 0, 1, 1, 2, 3, 2, 2, 4, 4, 0, 2, 3]
pubkeycol438 = [1, 3, 3, 1, 1, 0, 4, 3, 2, 1, 2, 3, 4, 2, 4, 0, 4, 0, 4, 3, 3, 0, 1, 3, 2, 0, 0, 4, 4, 3, 4, 2, 4, 0, 1, 3, 1, 3, 1, 4, 1, 1, 1, 0, 3, 4, 3, 4, 1, 0, 1, 0, 2, 4, 0, 3, 0, 3, 2, 0, 2, 4, 2, 3, 3, 4, 0, 0, 4, 3, 3, 1, 2, 3, 4, 0, 2, 2, 2, 3, 0, 2, 2, 0, 2, 1, 0, 2, 4, 1, 4, 1, 4, 3, 2, 2, 0, 0, 1, 1, 4, 4, 3, 3, 3, 4, 2, 0, 2, 3, 0, 3, 2, 3, 1, 4, 3, 3, 4, 4, 3, 4, 0, 1, 3, 0, 2, 3, 3, 4, 4, 1, 1, 0, 1, 4, 1, 2, 1, 4, 2, 4, 1, 2, 0, 4, 1, 0, 1, 0, 4, 4, 4, 1, 0, 2, 0, 4, 4, 2, 1, 1, 0, 2, 4, 0, 3, 2, 3, 1, 2, 3, 2, 0, 1, 4, 0, 4, 3, 4, 4, 4, 3, 4, 1, 1, 2, 0, 1, 0, 1, 3, 2, 0, 3, 1, 1, 2, 2, 4, 2, 4, 0, 4, 4, 1, 4, 1, 1, 1, 4, 1, 4, 1, 4, 3, 2, 0, 4, 0, 4, 0, 4, 0, 2, 4, 3, 2, 0, 0, 0, 0, 2, 1, 1, 3, 1, 2, 1, 0, 1, 3, 0, 3, 3, 0, 3, 2, 4, 3, 0, 3, 1, 4, 1, 1, 4, 4, 4, 3, 1, 4, 3, 2, 0, 2, 1, 2, 1, 0, 4, 2, 3, 2, 3, 4, 0, 4, 0, 0, 2, 4, 0, 0, 1, 1, 0, 1, 0, 4, 2, 0, 2, 2, 0, 3, 0, 3, 2, 3, 4, 1, 2, 1, 3, 1, 1, 0, 0, 3, 0, 3, 1, 3, 3, 3, 0, 2, 4, 4, 1, 1, 3, 1, 1, 1, 4, 3, 4, 4, 0, 2, 2, 3, 3, 2, 2, 3, 4, 3, 0, 3, 1, 1, 1, 4, 3, 1, 3, 1, 0, 3, 4, 0, 3, 2, 0, 0, 1, 3, 1, 1, 2, 0, 4, 3, 2, 2, 1, 1, 1, 3, 1, 2, 2, 0, 3, 2, 1, 2, 4, 1, 0, 0, 0, 4, 1, 1, 4, 4, 0, 1, 4, 0, 1, 0, 3, 3, 3, 0]
pubkeycol439 = [4, 3, 4, 2, 1, 3, 4, 0, 1, 4, 4, 0, 0, 3, 0, 3, 4, 3, 2, 0, 1, 2, 1, 2, 4, 2, 1, 0, 2, 0, 1, 4, 2, 1, 2, 1, 1, 2, 3, 4, 0, 1, 0, 3, 3, 0, 2, 2, 0, 1, 2, 0, 3, 1, 0, 2, 2, 2, 3, 0, 1, 3, 0, 3, 3, 1, 4, 0, 1, 0, 4, 1, 0, 0, 3, 1, 3, 1, 3, 1, 1, 2, 3, 1, 4, 4, 2, 2, 2, 4, 0, 1, 3, 3, 4, 3, 4, 1, 3, 4, 4, 3, 0, 1, 3, 4, 3, 4, 1, 1, 2, 1, 4, 0, 1, 2, 0, 0, 0, 1, 4, 2, 4, 0, 4, 1, 0, 0, 4, 1, 1, 3, 1, 2, 0, 4, 0, 3, 2, 1, 4, 0, 3, 1, 1, 0, 3, 4, 2, 0, 4, 4, 1, 2, 3, 4, 0, 0, 2, 4, 1, 1, 3, 2, 4, 2, 4, 4, 2, 1, 0, 1, 4, 3, 0, 0, 0, 0, 0, 3, 2, 1, 3, 3, 3, 0, 0, 1, 2, 4, 3, 4, 3, 3, 4, 2, 2, 0, 1, 1, 2, 1, 4, 3, 4, 1, 2, 3, 2, 0, 0, 4, 3, 4, 3, 0, 1, 1, 3, 4, 4, 1, 2, 4, 1, 1, 3, 3, 0, 3, 3, 4, 1, 1, 2, 1, 0, 2, 4, 3, 4, 2, 4, 1, 4, 1, 0, 2, 3, 3, 3, 4, 0, 1, 3, 1, 3, 2, 4, 3, 2, 0, 0, 1, 1, 0, 3, 4, 4, 3, 1, 1, 2, 3, 3, 0, 4, 0, 3, 1, 4, 2, 2, 1, 0, 0, 0, 2, 3, 1, 1, 0, 3, 3, 1, 3, 3, 0, 2, 3, 3, 4, 4, 4, 2, 3, 1, 0, 1, 2, 2, 4, 0, 1, 4, 1, 0, 1, 4, 4, 4, 2, 3, 4, 0, 0, 4, 2, 0, 2, 4, 4, 2, 3, 2, 3, 2, 4, 4, 3, 3, 2, 0, 1, 0, 3, 2, 2, 1, 1, 0, 4, 4, 0, 3, 1, 1, 3, 2, 0, 1, 4, 4, 4, 3, 1, 0, 4, 3, 4, 4, 0, 1, 1, 0, 3, 3, 0, 2, 1, 0, 2, 2, 4, 4, 1, 3, 4, 1, 0, 2, 4, 3, 2, 0, 4, 4, 4, 1, 1]
pubkeycol440 = [2, 1, 2, 2, 1, 0, 0, 2, 4, 0, 2, 1, 4, 2, 1, 4, 1, 0, 2, 3, 0, 0, 3, 3, 3, 0, 1, 0, 1, 1, 3, 0, 3, 1, 0, 2, 0, 2, 1, 4, 0, 3, 4, 1, 3, 4, 2, 3, 1, 1, 2, 1, 4, 2, 0, 1, 3, 4, 0, 3, 4, 3, 0, 4, 4, 3, 0, 1, 2, 3, 3, 4, 3, 3, 2, 2, 4, 3, 2, 3, 1, 4, 4, 4, 2, 1, 0, 2, 2, 2, 0, 1, 2, 4, 0, 1, 1, 2, 2, 2, 1, 2, 3, 4, 0, 4, 2, 0, 3, 3, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 1, 1, 1, 2, 3, 4, 2, 0, 2, 4, 3, 1, 3, 1, 0, 3, 0, 4, 1, 0, 3, 2, 4, 3, 0, 2, 1, 4, 3, 0, 1, 3, 4, 3, 0, 0, 3, 1, 4, 4, 3, 3, 4, 4, 3, 2, 4, 2, 1, 3, 2, 2, 0, 2, 0, 1, 1, 1, 3, 1, 2, 3, 2, 1, 2, 4, 1, 0, 0, 0, 3, 0, 2, 1, 0, 0, 0, 1, 1, 3, 1, 2, 0, 2, 4, 4, 1, 0, 4, 4, 2, 1, 0, 0, 0, 4, 1, 3, 4, 3, 4, 4, 2, 0, 1, 4, 1, 3, 1, 2, 2, 4, 1, 1, 1, 3, 2, 2, 4, 0, 4, 0, 2, 0, 0, 4, 3, 2, 2, 4, 2, 0, 3, 4, 4, 3, 1, 1, 1, 3, 0, 1, 0, 3, 1, 4, 3, 0, 1, 3, 4, 3, 4, 0, 0, 0, 3, 2, 1, 2, 4, 2, 0, 1, 2, 2, 3, 0, 0, 1, 0, 4, 3, 2, 2, 1, 2, 1, 0, 0, 4, 1, 4, 3, 2, 0, 1, 1, 3, 1, 1, 1, 4, 0, 4, 0, 4, 0, 2, 1, 2, 3, 4, 1, 0, 4, 4, 0, 2, 2, 4, 4, 1, 1, 0, 2, 3, 3, 2, 1, 0, 0, 0, 2, 4, 2, 4, 0, 0, 3, 3, 3, 0, 2, 4, 4, 4, 4, 0, 1, 4, 3, 4, 0, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 4, 2, 4, 0, 2, 0, 0, 3, 3, 3, 2, 1, 3, 3, 2, 2, 4, 2, 1, 4, 3, 3, 1, 0, 4, 4]
pubkeycol441 = [2, 4, 4, 1, 0, 2, 0, 4, 3, 3, 3, 2, 4, 1, 1, 4, 3, 2, 4, 1, 3, 2, 1, 0, 4, 4, 1, 0, 1, 3, 1, 2, 3, 4, 3, 3, 4, 0, 3, 4, 2, 2, 1, 0, 0, 4, 0, 1, 1, 4, 0, 2, 4, 2, 2, 2, 0, 3, 2, 4, 2, 2, 4, 2, 1, 2, 0, 3, 3, 3, 2, 0, 1, 2, 4, 0, 1, 2, 2, 1, 0, 2, 4, 2, 4, 1, 3, 4, 4, 2, 4, 4, 2, 0, 3, 4, 1, 1, 3, 2, 0, 2, 1, 2, 4, 2, 1, 3, 3, 1, 1, 1, 1, 0, 1, 0, 1, 2, 4, 3, 2, 4, 1, 2, 1, 3, 3, 2, 2, 0, 4, 4, 3, 3, 0, 1, 2, 0, 4, 2, 0, 4, 2, 3, 1, 4, 2, 3, 1, 4, 1, 2, 1, 3, 0, 1, 0, 4, 3, 3, 0, 2, 1, 2, 3, 2, 1, 1, 3, 3, 0, 4, 1, 0, 0, 3, 0, 3, 4, 2, 2, 2, 0, 0, 4, 1, 3, 1, 2, 4, 1, 3, 2, 3, 2, 4, 1, 1, 0, 2, 1, 4, 3, 1, 2, 1, 0, 2, 4, 4, 3, 2, 3, 2, 0, 1, 4, 4, 3, 3, 1, 2, 1, 4, 2, 4, 3, 1, 3, 1, 2, 0, 3, 2, 3, 2, 0, 2, 4, 3, 1, 1, 0, 4, 4, 0, 0, 1, 3, 4, 2, 0, 3, 2, 4, 3, 0, 2, 0, 1, 4, 1, 1, 1, 3, 1, 0, 2, 3, 2, 1, 4, 2, 1, 0, 0, 4, 4, 3, 3, 0, 0, 0, 0, 3, 2, 0, 1, 0, 3, 3, 4, 1, 4, 3, 3, 1, 4, 2, 3, 3, 4, 4, 0, 0, 1, 0, 2, 3, 3, 4, 4, 2, 1, 0, 4, 3, 2, 3, 0, 1, 4, 2, 0, 4, 0, 1, 1, 3, 3, 4, 3, 0, 1, 3, 2, 4, 0, 3, 1, 0, 3, 3, 0, 4, 0, 0, 0, 4, 0, 0, 1, 1, 4, 2, 1, 2, 4, 1, 1, 2, 2, 4, 1, 0, 1, 3, 1, 0, 0, 1, 1, 3, 0, 0, 4, 4, 3, 4, 2, 2, 4, 2, 1, 2, 0, 2, 2, 4, 4, 3, 2, 3, 0, 2, 3, 0, 4, 3, 2]
pubkeycol442 = [0, 0, 4, 1, 3, 0, 2, 4, 1, 2, 1, 4, 3, 3, 3, 0, 3, 4, 0, 2, 2, 1, 1, 0, 4, 2, 3, 1, 2, 3, 2, 4, 4, 3, 0, 3, 3, 0, 2, 3, 2, 4, 2, 0, 4, 1, 4, 3, 3, 3, 3, 4, 1, 2, 0, 3, 3, 4, 3, 2, 0, 3, 3, 4, 1, 1, 1, 2, 3, 4, 3, 1, 3, 0, 4, 4, 4, 2, 3, 0, 4, 1, 3, 1, 2, 2, 1, 1, 0, 4, 0, 4, 0, 1, 4, 2, 0, 4, 1, 1, 3, 0, 1, 4, 0, 0, 1, 3, 4, 3, 4, 1, 4, 0, 0, 2, 1, 1, 4, 3, 2, 3, 2, 1, 3, 0, 0, 4, 1, 1, 3, 4, 4, 0, 2, 1, 3, 3, 3, 2, 4, 2, 3, 1, 1, 0, 0, 1, 1, 2, 4, 0, 0, 2, 3, 4, 2, 1, 3, 4, 3, 1, 0, 4, 0, 4, 1, 0, 4, 0, 3, 2, 1, 1, 3, 2, 0, 4, 4, 1, 4, 4, 0, 0, 4, 2, 1, 1, 3, 3, 1, 3, 1, 3, 0, 3, 0, 2, 1, 2, 0, 0, 3, 1, 2, 4, 3, 1, 1, 3, 1, 1, 2, 3, 3, 4, 0, 3, 4, 2, 3, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 4, 2, 0, 3, 3, 2, 4, 0, 4, 3, 0, 3, 4, 3, 2, 3, 4, 3, 3, 3, 1, 2, 0, 1, 3, 2, 0, 4, 4, 0, 4, 0, 4, 2, 1, 2, 2, 4, 2, 1, 1, 3, 1, 0, 4, 0, 2, 3, 3, 1, 0, 0, 4, 4, 1, 3, 3, 3, 2, 0, 2, 3, 2, 1, 3, 2, 4, 4, 0, 2, 1, 4, 3, 0, 3, 3, 4, 3, 3, 2, 4, 2, 0, 2, 3, 3, 1, 1, 3, 0, 3, 3, 4, 4, 0, 0, 3, 1, 2, 3, 3, 3, 1, 4, 3, 1, 2, 4, 3, 1, 1, 1, 2, 4, 0, 2, 0, 3, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 3, 3, 2, 4, 2, 2, 3, 3, 3, 4, 0, 0, 4, 3, 0, 2, 0, 4, 4, 0, 0, 4, 1, 1, 4, 4, 2, 2, 1, 4, 3, 2, 0, 4, 4, 0, 1]
pubkeycol443 = [2, 4, 4, 3, 0, 4, 2, 4, 3, 4, 2, 4, 3, 3, 1, 1, 1, 3, 3, 2, 2, 2, 3, 1, 3, 4, 2, 3, 1, 2, 0, 3, 2, 1, 4, 2, 4, 4, 1, 0, 1, 2, 3, 1, 2, 2, 4, 1, 0, 4, 1, 0, 4, 0, 1, 2, 3, 2, 4, 1, 0, 2, 4, 0, 4, 2, 3, 3, 0, 0, 2, 3, 0, 3, 0, 2, 1, 4, 4, 3, 3, 1, 4, 3, 1, 4, 4, 4, 1, 1, 2, 4, 4, 1, 4, 2, 3, 1, 3, 3, 4, 4, 4, 2, 4, 1, 2, 1, 2, 2, 2, 3, 4, 3, 4, 3, 3, 3, 4, 0, 2, 0, 0, 4, 3, 4, 3, 2, 0, 3, 2, 0, 1, 3, 1, 3, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 4, 1, 3, 3, 4, 2, 4, 2, 4, 0, 1, 4, 0, 2, 4, 2, 0, 0, 4, 3, 1, 1, 3, 1, 4, 1, 1, 3, 1, 3, 3, 3, 4, 2, 0, 0, 1, 2, 4, 0, 3, 0, 0, 4, 3, 0, 2, 0, 2, 0, 1, 4, 2, 3, 3, 0, 3, 3, 0, 4, 1, 2, 1, 1, 3, 2, 2, 4, 4, 3, 3, 1, 1, 4, 3, 3, 4, 1, 2, 1, 0, 1, 3, 3, 1, 3, 4, 4, 0, 2, 4, 2, 3, 4, 0, 0, 3, 0, 2, 1, 0, 0, 1, 3, 4, 1, 1, 0, 4, 3, 3, 3, 4, 3, 4, 0, 1, 4, 3, 0, 3, 0, 3, 3, 2, 3, 3, 4, 2, 4, 0, 1, 1, 2, 3, 0, 2, 4, 2, 2, 3, 0, 4, 4, 4, 0, 1, 3, 3, 0, 2, 2, 0, 0, 1, 1, 2, 4, 3, 4, 2, 3, 0, 1, 4, 3, 1, 4, 0, 1, 3, 4, 3, 4, 2, 2, 2, 3, 0, 3, 1, 1, 2, 4, 0, 4, 3, 0, 0, 4, 3, 1, 3, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 3, 4, 0, 4, 4, 4, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 3, 2, 3, 4, 2, 0, 2, 4, 4, 4, 2, 4, 1, 2, 2, 2, 4, 1, 3, 0, 4, 4, 0, 0, 4, 1, 0, 3, 3, 4, 2, 4, 0, 1, 4]
pubkeycol444 = [4, 1, 0, 0, 1, 4, 4, 4, 1, 2, 4, 1, 1, 1, 3, 2, 4, 2, 4, 4, 3, 4, 0, 2, 4, 1, 3, 4, 0, 1, 3, 4, 0, 2, 1, 0, 3, 4, 3, 2, 1, 1, 0, 0, 0, 2, 4, 4, 0, 4, 0, 0, 4, 2, 2, 3, 0, 4, 4, 1, 1, 3, 2, 0, 3, 2, 1, 4, 1, 1, 2, 1, 4, 1, 4, 3, 0, 2, 2, 2, 1, 4, 1, 3, 3, 2, 3, 1, 2, 0, 2, 0, 0, 1, 3, 1, 3, 0, 1, 0, 1, 4, 1, 3, 3, 0, 0, 2, 4, 3, 1, 2, 1, 4, 0, 2, 4, 2, 3, 3, 4, 2, 2, 3, 2, 3, 0, 3, 1, 2, 4, 1, 2, 2, 0, 2, 0, 1, 3, 1, 3, 3, 1, 1, 0, 4, 2, 4, 2, 0, 2, 3, 3, 2, 2, 2, 4, 2, 4, 0, 1, 1, 1, 1, 4, 3, 1, 0, 0, 4, 1, 3, 1, 0, 0, 2, 4, 1, 1, 2, 3, 0, 3, 1, 2, 3, 1, 2, 0, 3, 0, 4, 2, 3, 4, 4, 1, 2, 3, 4, 0, 0, 1, 4, 3, 4, 1, 1, 2, 0, 4, 0, 3, 4, 2, 1, 4, 3, 3, 0, 3, 2, 2, 0, 2, 4, 1, 0, 4, 2, 0, 1, 1, 4, 1, 0, 3, 1, 2, 3, 2, 0, 3, 2, 3, 2, 0, 3, 2, 2, 0, 2, 4, 0, 0, 3, 1, 0, 3, 1, 2, 1, 4, 4, 2, 4, 3, 3, 2, 4, 0, 1, 4, 0, 4, 2, 2, 1, 3, 2, 0, 3, 2, 0, 4, 1, 2, 4, 2, 0, 2, 3, 2, 2, 0, 0, 2, 1, 0, 2, 3, 4, 3, 4, 2, 0, 0, 3, 4, 3, 4, 4, 3, 4, 3, 3, 1, 3, 4, 2, 0, 2, 0, 1, 3, 4, 4, 3, 0, 0, 4, 3, 4, 4, 2, 4, 2, 4, 4, 1, 0, 2, 4, 0, 2, 4, 3, 4, 3, 2, 4, 1, 3, 4, 0, 4, 1, 2, 1, 3, 0, 2, 1, 0, 2, 4, 2, 0, 4, 2, 0, 0, 4, 4, 1, 4, 0, 3, 2, 0, 0, 2, 0, 1, 2, 0, 4, 3, 3, 3, 4, 2, 1, 3, 3, 0, 4, 0, 1, 0]
pubkeycol445 = [4, 1, 2, 2, 3, 3, 4, 0, 1, 0, 4, 0, 4, 0, 3, 1, 3, 1, 1, 0, 4, 2, 4, 1, 2, 2, 2, 4, 1, 4, 0, 1, 1, 3, 3, 4, 1, 0, 3, 4, 3, 0, 4, 4, 0, 4, 3, 1, 4, 3, 0, 1, 4, 2, 2, 3, 1, 2, 3, 0, 3, 4, 0, 3, 0, 4, 2, 2, 2, 0, 4, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 4, 3, 0, 3, 2, 0, 4, 1, 1, 3, 1, 1, 4, 0, 4, 2, 2, 2, 4, 3, 4, 3, 4, 3, 1, 1, 1, 3, 4, 0, 1, 0, 1, 0, 2, 4, 3, 2, 4, 3, 1, 3, 3, 3, 0, 2, 4, 3, 1, 3, 1, 2, 2, 0, 3, 2, 1, 1, 4, 0, 2, 0, 3, 4, 1, 0, 4, 3, 3, 1, 2, 4, 3, 0, 0, 0, 4, 3, 4, 0, 0, 1, 2, 0, 2, 4, 3, 2, 3, 4, 0, 2, 1, 0, 3, 0, 2, 1, 0, 2, 1, 1, 4, 2, 3, 3, 4, 1, 1, 1, 3, 0, 4, 2, 2, 0, 1, 3, 0, 2, 1, 3, 0, 4, 0, 0, 3, 1, 2, 2, 3, 1, 4, 4, 2, 0, 0, 3, 0, 2, 3, 4, 0, 2, 3, 3, 1, 3, 0, 0, 2, 3, 0, 3, 1, 3, 1, 2, 1, 4, 0, 1, 2, 0, 1, 2, 3, 3, 0, 3, 4, 0, 2, 2, 1, 0, 3, 4, 2, 2, 1, 1, 0, 3, 3, 1, 0, 2, 3, 0, 4, 3, 3, 1, 0, 1, 2, 4, 1, 0, 1, 4, 2, 0, 3, 1, 3, 3, 1, 2, 2, 4, 0, 3, 1, 4, 3, 3, 0, 0, 3, 0, 3, 1, 2, 4, 0, 4, 3, 3, 0, 2, 0, 1, 0, 4, 1, 2, 0, 2, 1, 4, 0, 2, 0, 0, 1, 2, 4, 2, 4, 3, 2, 1, 1, 2, 0, 2, 4, 1, 4, 0, 2, 3, 1, 0, 1, 4, 3, 3, 1, 4, 0, 0, 3, 0, 1, 1, 0, 3, 3, 1, 1, 0, 4, 1, 4, 1, 2, 3, 1, 3, 1, 0, 0, 0, 1, 0, 4, 2, 1, 2, 1, 2, 4, 4, 1, 0, 4, 4, 4, 0, 0, 0, 0, 4, 3]
pubkeycol446 = [3, 3, 2, 4, 4, 4, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 4, 3, 4, 1, 0, 4, 3, 0, 1, 1, 4, 1, 0, 4, 2, 3, 1, 4, 1, 4, 3, 4, 3, 0, 4, 4, 0, 3, 3, 3, 2, 2, 3, 0, 4, 0, 4, 2, 3, 0, 1, 0, 3, 3, 3, 2, 2, 0, 0, 4, 1, 0, 2, 3, 3, 0, 1, 3, 0, 1, 3, 1, 0, 0, 4, 0, 2, 0, 2, 0, 4, 2, 2, 1, 3, 4, 4, 3, 1, 1, 2, 1, 0, 4, 2, 2, 3, 2, 4, 0, 2, 4, 0, 3, 2, 3, 1, 1, 1, 3, 0, 0, 4, 2, 3, 2, 1, 2, 0, 4, 4, 0, 2, 1, 1, 1, 3, 3, 2, 3, 2, 1, 4, 0, 0, 1, 3, 1, 4, 4, 4, 0, 2, 4, 1, 1, 0, 0, 0, 3, 0, 0, 4, 4, 0, 2, 3, 1, 1, 3, 0, 2, 4, 3, 1, 2, 0, 3, 1, 0, 1, 2, 4, 1, 0, 1, 0, 2, 2, 1, 4, 0, 4, 2, 4, 3, 2, 4, 4, 4, 3, 4, 2, 1, 0, 0, 1, 2, 1, 0, 3, 1, 1, 2, 4, 0, 4, 2, 0, 2, 1, 3, 2, 0, 2, 3, 0, 4, 3, 3, 2, 0, 2, 3, 1, 0, 0, 1, 3, 1, 1, 1, 0, 1, 1, 3, 2, 4, 3, 0, 3, 4, 3, 2, 4, 2, 2, 3, 0, 1, 2, 4, 1, 4, 3, 2, 2, 0, 4, 0, 0, 1, 3, 4, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 3, 1, 2, 1, 3, 1, 0, 4, 0, 2, 2, 3, 1, 4, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 0, 2, 3, 0, 0, 3, 1, 4, 0, 1, 0, 4, 2, 0, 4, 4, 1, 1, 1, 3, 2, 0, 0, 2, 3, 0, 1, 3, 4, 3, 4, 2, 0, 1, 2, 1, 1, 3, 3, 3, 0, 4, 2, 0, 4, 3, 2, 2, 2, 2, 3, 3, 2, 1, 3, 4, 0, 3, 4, 2, 4, 2, 1, 2, 1, 0, 3, 3, 4, 4, 2, 0, 3, 2, 0, 1, 2, 2, 0, 0, 3, 2, 3, 2, 4, 0, 0, 0, 4, 4, 0, 3, 2, 1]
pubkeycol447 = [1, 2, 4, 4, 0, 0, 4, 4, 2, 2, 3, 2, 1, 1, 1, 1, 4, 2, 4, 1, 2, 3, 1, 0, 3, 0, 0, 0, 1, 3, 2, 1, 2, 4, 0, 1, 1, 3, 0, 1, 3, 4, 2, 4, 0, 4, 4, 4, 3, 1, 4, 4, 3, 3, 1, 0, 1, 0, 4, 1, 1, 1, 4, 4, 3, 2, 4, 1, 3, 2, 4, 2, 1, 3, 0, 1, 1, 2, 4, 3, 4, 3, 4, 4, 2, 4, 0, 0, 1, 0, 2, 2, 3, 1, 0, 4, 3, 1, 2, 1, 2, 2, 1, 2, 1, 3, 4, 3, 0, 0, 4, 1, 4, 4, 1, 3, 0, 1, 3, 4, 2, 2, 1, 3, 3, 2, 3, 0, 1, 2, 2, 0, 0, 2, 1, 4, 2, 4, 2, 2, 0, 4, 3, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 4, 3, 3, 4, 1, 2, 4, 3, 1, 0, 1, 3, 2, 2, 4, 3, 2, 2, 2, 4, 1, 3, 2, 0, 2, 2, 2, 4, 2, 2, 1, 0, 4, 4, 4, 4, 2, 1, 2, 4, 3, 1, 3, 3, 4, 3, 3, 4, 0, 4, 1, 3, 3, 0, 3, 4, 4, 0, 1, 4, 2, 1, 3, 3, 0, 1, 2, 1, 1, 0, 2, 4, 0, 1, 4, 1, 4, 0, 0, 3, 2, 3, 2, 4, 0, 1, 4, 0, 0, 0, 3, 3, 0, 1, 2, 3, 0, 0, 3, 2, 4, 3, 0, 3, 4, 4, 4, 3, 0, 4, 0, 3, 3, 3, 4, 1, 3, 3, 1, 2, 4, 3, 2, 3, 2, 0, 1, 1, 1, 2, 1, 2, 4, 1, 4, 0, 2, 3, 1, 4, 2, 4, 3, 4, 2, 4, 3, 0, 0, 3, 3, 4, 1, 2, 4, 0, 3, 1, 4, 4, 0, 0, 1, 0, 4, 2, 1, 1, 4, 0, 2, 1, 4, 3, 2, 1, 1, 3, 0, 3, 2, 2, 3, 2, 1, 1, 3, 4, 3, 1, 4, 4, 2, 3, 1, 3, 2, 1, 4, 2, 3, 0, 2, 4, 1, 0, 1, 4, 4, 0, 3, 3, 3, 1, 2, 1, 0, 3, 4, 1, 2, 4, 2, 4, 4, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 3, 3, 3, 2, 0, 0, 0, 1, 3]
pubkeycol448 = [1, 1, 3, 0, 3, 3, 4, 0, 1, 2, 2, 1, 2, 1, 2, 2, 3, 0, 4, 0, 3, 2, 1, 1, 2, 2, 0, 4, 0, 2, 4, 4, 1, 4, 0, 4, 1, 0, 4, 3, 1, 4, 4, 1, 0, 1, 1, 2, 2, 2, 2, 1, 4, 2, 2, 0, 1, 4, 4, 0, 2, 2, 0, 1, 0, 1, 1, 4, 4, 4, 3, 4, 1, 1, 2, 3, 4, 2, 2, 2, 4, 2, 0, 4, 0, 3, 1, 2, 2, 3, 3, 2, 2, 3, 0, 4, 3, 4, 0, 1, 4, 1, 2, 2, 0, 1, 2, 1, 2, 2, 3, 0, 2, 1, 1, 3, 3, 1, 1, 2, 4, 2, 2, 4, 0, 0, 4, 0, 2, 1, 2, 3, 3, 4, 2, 1, 3, 1, 1, 2, 0, 4, 4, 4, 0, 2, 2, 1, 2, 0, 2, 3, 0, 4, 4, 0, 2, 4, 3, 1, 2, 4, 1, 2, 4, 3, 4, 4, 2, 3, 2, 2, 2, 0, 1, 3, 0, 1, 4, 0, 0, 4, 2, 1, 4, 0, 1, 3, 0, 0, 1, 4, 0, 2, 1, 1, 1, 2, 0, 0, 4, 1, 4, 3, 4, 1, 2, 3, 0, 0, 4, 3, 0, 1, 1, 0, 2, 4, 3, 2, 0, 4, 4, 0, 2, 1, 0, 2, 2, 0, 4, 3, 0, 3, 2, 3, 1, 0, 1, 2, 2, 2, 0, 1, 1, 4, 1, 3, 3, 3, 3, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 3, 3, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 4, 1, 0, 3, 4, 4, 0, 3, 4, 2, 0, 1, 1, 2, 0, 1, 0, 1, 3, 4, 2, 2, 2, 2, 1, 1, 2, 2, 2, 3, 0, 4, 2, 3, 0, 2, 1, 0, 3, 3, 3, 3, 2, 2, 0, 2, 1, 1, 3, 4, 0, 3, 2, 4, 4, 2, 3, 2, 2, 0, 2, 0, 2, 0, 3, 0, 0, 0, 2, 4, 1, 3, 0, 3, 0, 4, 2, 1, 4, 1, 2, 0, 2, 0, 3, 2, 2, 2, 4, 4, 3, 3, 0, 4, 0, 3, 1, 0, 3, 1, 1, 0, 1, 3, 0, 2, 4, 2, 3, 0, 1, 1, 3, 4, 4, 3, 4, 0, 3, 2, 1, 3]
pubkeycol449 = [4, 1, 0, 2, 1, 2, 1, 2, 2, 2, 3, 0, 0, 4, 2, 0, 1, 0, 0, 3, 0, 3, 3, 4, 3, 1, 3, 4, 3, 1, 0, 0, 1, 4, 3, 1, 2, 3, 4, 4, 0, 4, 0, 4, 2, 3, 1, 2, 0, 2, 0, 3, 1, 2, 3, 1, 2, 4, 1, 3, 3, 4, 4, 1, 3, 0, 2, 1, 0, 0, 1, 4, 3, 4, 3, 1, 0, 4, 0, 0, 4, 3, 0, 0, 3, 3, 0, 1, 4, 0, 2, 1, 0, 4, 4, 0, 2, 3, 4, 0, 3, 2, 4, 2, 3, 4, 3, 3, 0, 2, 0, 4, 3, 0, 0, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 3, 4, 1, 1, 4, 3, 2, 2, 4, 4, 0, 4, 4, 0, 3, 0, 0, 2, 4, 2, 4, 0, 2, 2, 4, 0, 2, 3, 0, 3, 2, 2, 2, 2, 4, 0, 4, 2, 1, 2, 2, 4, 0, 4, 2, 4, 4, 1, 1, 3, 4, 2, 1, 0, 2, 4, 0, 4, 3, 1, 0, 3, 2, 1, 1, 0, 0, 3, 3, 4, 0, 2, 0, 0, 1, 2, 0, 3, 0, 4, 0, 1, 0, 1, 3, 4, 4, 4, 4, 1, 4, 2, 0, 1, 0, 1, 2, 4, 0, 3, 2, 4, 1, 2, 3, 2, 2, 4, 2, 0, 1, 4, 3, 2, 1, 3, 2, 3, 1, 3, 4, 2, 0, 2, 2, 0, 4, 2, 3, 2, 4, 3, 1, 0, 4, 4, 2, 0, 3, 4, 3, 3, 2, 1, 1, 3, 0, 4, 1, 1, 2, 1, 3, 4, 2, 2, 4, 4, 3, 4, 0, 3, 4, 1, 3, 0, 1, 4, 0, 2, 1, 2, 3, 4, 4, 2, 0, 2, 3, 3, 2, 0, 0, 0, 3, 1, 3, 4, 3, 0, 0, 0, 2, 4, 0, 1, 1, 0, 4, 4, 3, 4, 3, 3, 1, 3, 0, 0, 0, 4, 4, 3, 4, 1, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 1, 3, 3, 0, 3, 2, 0, 0, 1, 1, 0, 1, 3, 3, 2, 0, 4, 0, 3, 4, 1, 4, 3, 1, 0, 3, 0, 0, 2, 0, 4, 0, 2, 0, 3, 2, 0, 3, 2, 4, 2, 4, 0, 4, 0, 4, 2, 1, 1, 0]
pubkeycol450 = [1, 3, 1, 3, 4, 4, 0, 2, 4, 1, 1, 2, 4, 0, 3, 0, 0, 2, 3, 0, 1, 1, 1, 1, 4, 1, 0, 1, 1, 0, 4, 4, 4, 3, 4, 0, 4, 1, 0, 0, 3, 0, 4, 4, 3, 0, 0, 4, 3, 2, 0, 2, 0, 3, 0, 2, 2, 2, 2, 4, 0, 4, 2, 2, 3, 1, 2, 0, 2, 2, 4, 4, 3, 4, 2, 4, 4, 0, 4, 3, 4, 2, 1, 0, 2, 2, 3, 4, 1, 2, 2, 1, 0, 4, 2, 4, 2, 3, 4, 2, 0, 3, 4, 1, 2, 2, 1, 2, 3, 4, 1, 2, 2, 0, 1, 4, 3, 0, 2, 3, 1, 0, 1, 1, 1, 4, 0, 1, 3, 1, 4, 3, 2, 1, 2, 4, 0, 4, 0, 1, 4, 3, 0, 0, 1, 3, 0, 3, 0, 0, 1, 2, 4, 4, 3, 3, 4, 2, 3, 4, 1, 4, 0, 4, 1, 1, 3, 3, 2, 4, 3, 1, 4, 1, 4, 0, 1, 3, 0, 3, 2, 1, 4, 2, 4, 4, 0, 4, 4, 2, 2, 1, 4, 4, 4, 4, 0, 4, 1, 1, 0, 3, 0, 1, 4, 1, 2, 0, 1, 3, 2, 0, 1, 3, 2, 1, 0, 4, 1, 4, 2, 3, 3, 2, 0, 4, 2, 2, 3, 0, 2, 0, 0, 4, 0, 0, 4, 0, 4, 2, 3, 0, 0, 1, 1, 0, 1, 2, 3, 3, 3, 1, 4, 3, 1, 2, 3, 0, 2, 0, 0, 0, 3, 2, 3, 3, 1, 1, 1, 2, 2, 2, 4, 1, 0, 1, 0, 2, 4, 2, 1, 3, 0, 3, 0, 1, 2, 2, 2, 1, 2, 0, 1, 3, 0, 1, 0, 3, 3, 2, 3, 1, 0, 2, 4, 1, 2, 3, 1, 2, 0, 0, 3, 4, 2, 2, 1, 3, 0, 4, 3, 4, 1, 1, 0, 3, 1, 0, 2, 0, 0, 2, 2, 1, 2, 4, 3, 1, 3, 2, 2, 4, 0, 0, 1, 3, 3, 3, 2, 1, 3, 0, 2, 0, 3, 3, 3, 3, 4, 2, 3, 3, 1, 4, 4, 4, 1, 1, 1, 4, 0, 2, 3, 2, 2, 1, 2, 0, 3, 1, 0, 2, 4, 0, 4, 1, 4, 0, 3, 2, 3, 2, 2, 4, 1, 4, 4, 4, 4, 2]
pubkeycol451 = [4, 3, 3, 2, 3, 4, 4, 2, 4, 2, 1, 3, 2, 2, 0, 3, 0, 3, 1, 0, 3, 3, 4, 2, 1, 3, 2, 2, 4, 0, 4, 2, 3, 3, 4, 3, 0, 3, 0, 3, 1, 1, 3, 1, 2, 1, 3, 2, 0, 3, 2, 4, 4, 4, 0, 3, 1, 3, 1, 3, 1, 2, 1, 4, 4, 1, 4, 4, 4, 1, 4, 2, 1, 0, 1, 4, 0, 4, 1, 4, 2, 0, 1, 0, 1, 3, 2, 1, 1, 3, 0, 0, 2, 3, 2, 1, 0, 2, 3, 3, 0, 4, 2, 4, 4, 0, 3, 2, 4, 1, 2, 1, 1, 0, 0, 2, 1, 1, 3, 4, 1, 2, 4, 1, 3, 3, 0, 1, 2, 2, 1, 3, 4, 1, 4, 0, 0, 2, 0, 2, 0, 2, 2, 3, 2, 3, 1, 3, 4, 4, 2, 1, 2, 2, 3, 0, 0, 0, 3, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 3, 1, 0, 1, 1, 3, 4, 2, 1, 4, 3, 3, 3, 0, 1, 0, 3, 0, 2, 2, 0, 2, 0, 3, 2, 4, 2, 1, 3, 4, 1, 3, 1, 0, 3, 4, 4, 2, 1, 4, 3, 0, 2, 4, 2, 0, 0, 1, 2, 1, 3, 3, 1, 3, 2, 3, 0, 2, 4, 0, 4, 2, 3, 1, 3, 1, 0, 1, 3, 0, 4, 3, 2, 0, 2, 2, 2, 4, 3, 3, 3, 0, 2, 4, 3, 3, 2, 3, 1, 1, 1, 4, 0, 0, 4, 0, 1, 0, 0, 2, 4, 0, 3, 4, 2, 0, 1, 1, 1, 1, 3, 3, 1, 0, 2, 4, 1, 1, 4, 0, 2, 2, 4, 2, 3, 0, 3, 3, 1, 1, 0, 3, 1, 3, 1, 0, 0, 3, 2, 1, 0, 0, 2, 2, 1, 4, 2, 2, 4, 2, 1, 4, 1, 3, 4, 0, 4, 0, 1, 1, 4, 0, 0, 1, 3, 1, 3, 3, 1, 4, 2, 3, 2, 1, 0, 1, 2, 2, 2, 4, 4, 3, 2, 4, 4, 1, 0, 1, 0, 1, 3, 2, 1, 1, 0, 1, 4, 3, 2, 2, 2, 4, 1, 4, 1, 4, 4, 0, 2, 1, 3, 0, 4, 2, 2, 1, 4, 3, 4, 4, 0, 4, 3, 2, 4, 3, 4, 0, 3, 2]
pubkeycol452 = [1, 4, 1, 4, 4, 0, 1, 0, 4, 1, 0, 3, 1, 4, 2, 1, 2, 2, 1, 4, 0, 0, 1, 3, 4, 0, 3, 2, 2, 0, 4, 3, 3, 1, 1, 2, 4, 4, 4, 0, 1, 1, 1, 2, 3, 3, 4, 0, 1, 1, 2, 1, 4, 2, 2, 2, 0, 3, 2, 1, 3, 1, 1, 0, 3, 0, 0, 1, 3, 1, 0, 3, 3, 4, 0, 3, 0, 3, 3, 2, 4, 3, 3, 4, 2, 4, 0, 3, 1, 1, 3, 3, 3, 0, 1, 3, 2, 3, 3, 2, 4, 0, 2, 1, 0, 4, 4, 1, 1, 3, 3, 0, 0, 0, 3, 2, 4, 3, 0, 4, 0, 2, 2, 2, 0, 0, 4, 2, 2, 0, 1, 0, 1, 3, 0, 3, 3, 4, 4, 4, 4, 3, 3, 4, 2, 0, 0, 2, 4, 1, 1, 3, 3, 0, 2, 4, 4, 1, 1, 3, 0, 4, 4, 0, 3, 2, 3, 0, 0, 2, 1, 2, 1, 4, 2, 3, 4, 3, 3, 0, 4, 3, 0, 4, 1, 1, 3, 1, 2, 2, 1, 0, 4, 4, 3, 4, 0, 2, 2, 2, 2, 3, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 4, 1, 4, 3, 3, 3, 2, 1, 2, 1, 3, 1, 1, 4, 1, 2, 1, 0, 3, 0, 0, 4, 1, 1, 1, 3, 2, 2, 2, 3, 3, 2, 3, 1, 3, 3, 4, 4, 0, 4, 1, 1, 0, 3, 0, 0, 1, 2, 2, 4, 2, 2, 0, 2, 0, 1, 4, 2, 0, 3, 1, 0, 0, 4, 0, 3, 4, 2, 4, 1, 2, 3, 4, 4, 3, 3, 4, 3, 4, 1, 0, 1, 1, 3, 4, 3, 1, 1, 2, 0, 3, 4, 0, 3, 1, 0, 3, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 3, 2, 1, 1, 4, 3, 3, 3, 2, 4, 2, 1, 2, 0, 3, 2, 2, 0, 4, 4, 3, 4, 3, 2, 1, 0, 1, 3, 1, 3, 2, 3, 3, 3, 4, 4, 3, 1, 1, 3, 0, 4, 2, 1, 0, 2, 2, 3, 2, 2, 3, 2, 0, 1, 1, 0, 4, 2, 4, 4, 0, 4, 4, 0, 1, 1, 1, 3, 1, 3, 1, 0, 2, 0, 2, 4, 4, 2]
pubkeycol453 = [0, 1, 3, 0, 2, 4, 4, 3, 1, 2, 3, 4, 1, 2, 1, 0, 1, 1, 1, 1, 1, 4, 3, 1, 4, 1, 0, 0, 2, 3, 3, 4, 1, 4, 4, 0, 0, 0, 4, 1, 0, 4, 2, 3, 1, 0, 3, 2, 1, 1, 4, 3, 0, 2, 1, 2, 3, 2, 0, 0, 1, 0, 2, 3, 0, 0, 1, 3, 3, 3, 3, 4, 1, 2, 1, 3, 4, 0, 3, 2, 1, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 3, 0, 2, 4, 4, 4, 0, 3, 2, 4, 4, 0, 1, 3, 3, 3, 4, 0, 4, 2, 4, 2, 3, 0, 3, 2, 0, 1, 0, 4, 4, 1, 0, 1, 2, 1, 3, 2, 3, 1, 1, 1, 1, 0, 3, 1, 1, 1, 2, 1, 3, 1, 2, 2, 4, 2, 3, 4, 2, 0, 2, 0, 4, 2, 3, 2, 2, 2, 4, 0, 1, 4, 1, 1, 3, 1, 4, 2, 1, 1, 4, 2, 0, 0, 4, 0, 2, 0, 1, 0, 3, 3, 1, 3, 1, 0, 4, 2, 1, 3, 4, 0, 2, 1, 4, 2, 3, 0, 4, 0, 3, 4, 1, 0, 4, 2, 4, 1, 3, 2, 2, 1, 1, 1, 3, 3, 3, 1, 2, 3, 0, 3, 2, 3, 4, 3, 4, 0, 4, 4, 0, 0, 3, 0, 3, 3, 3, 3, 0, 2, 3, 1, 0, 2, 0, 3, 1, 1, 4, 1, 4, 0, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 3, 1, 4, 4, 2, 4, 3, 4, 1, 3, 2, 1, 4, 3, 3, 1, 4, 1, 4, 0, 3, 4, 0, 2, 2, 4, 2, 1, 2, 0, 3, 3, 2, 1, 0, 1, 0, 1, 2, 1, 0, 3, 1, 1, 0, 1, 4, 0, 0, 4, 4, 2, 3, 0, 1, 3, 3, 0, 4, 1, 3, 2, 3, 2, 0, 1, 1, 0, 1, 3, 0, 4, 3, 1, 3, 4, 2, 0, 2, 0, 0, 2, 0, 1, 4, 4, 0, 4, 0, 2, 3, 2, 3, 2, 4, 1, 2, 3, 0, 1, 4, 4, 3, 0, 0, 2, 1, 0, 3, 4, 2, 0, 4, 1, 3, 1, 4, 4, 1, 1, 4, 2, 2, 1, 4, 1, 1, 3, 3, 3, 4, 0, 0, 3, 4, 3, 3]
pubkeycol454 = [1, 4, 4, 0, 0, 4, 2, 2, 2, 4, 2, 4, 1, 1, 2, 1, 4, 0, 4, 2, 0, 1, 3, 4, 0, 3, 2, 3, 1, 1, 1, 0, 3, 2, 4, 0, 1, 1, 3, 3, 0, 3, 3, 3, 2, 4, 3, 3, 1, 1, 0, 4, 3, 2, 2, 2, 3, 3, 2, 0, 2, 4, 4, 0, 0, 0, 4, 4, 3, 2, 0, 3, 3, 2, 1, 3, 3, 4, 4, 0, 1, 0, 2, 4, 0, 4, 3, 2, 1, 3, 4, 3, 0, 2, 4, 1, 0, 1, 2, 4, 1, 3, 3, 4, 4, 1, 0, 1, 2, 1, 2, 0, 0, 4, 0, 4, 2, 2, 4, 4, 3, 0, 2, 4, 4, 1, 2, 0, 2, 0, 0, 4, 3, 4, 4, 3, 4, 4, 3, 0, 3, 0, 4, 2, 2, 3, 3, 1, 3, 1, 4, 2, 2, 1, 2, 3, 1, 1, 3, 0, 0, 0, 3, 2, 4, 1, 0, 4, 1, 4, 1, 0, 3, 1, 3, 3, 2, 2, 2, 4, 1, 4, 2, 3, 4, 3, 4, 4, 2, 1, 3, 2, 4, 4, 1, 0, 1, 2, 3, 0, 1, 1, 3, 1, 1, 2, 2, 1, 4, 1, 1, 2, 0, 4, 4, 4, 0, 3, 3, 1, 0, 0, 1, 4, 1, 2, 1, 0, 1, 0, 3, 2, 4, 1, 2, 4, 3, 4, 3, 4, 3, 1, 3, 1, 0, 3, 2, 1, 3, 2, 1, 4, 0, 1, 0, 3, 4, 3, 1, 0, 2, 1, 1, 2, 1, 0, 1, 4, 4, 2, 4, 1, 0, 3, 4, 4, 3, 0, 2, 0, 1, 2, 4, 1, 4, 0, 1, 2, 1, 0, 2, 3, 2, 0, 3, 4, 4, 1, 0, 4, 3, 4, 2, 4, 1, 2, 0, 0, 4, 4, 1, 1, 4, 4, 0, 3, 3, 1, 0, 4, 2, 1, 4, 1, 4, 4, 1, 2, 3, 0, 0, 0, 3, 1, 1, 2, 4, 0, 4, 2, 4, 1, 4, 1, 1, 1, 3, 2, 0, 3, 2, 1, 1, 4, 4, 1, 3, 0, 2, 4, 4, 3, 3, 2, 2, 3, 0, 2, 2, 2, 2, 3, 1, 4, 4, 4, 2, 4, 1, 3, 1, 4, 2, 4, 3, 3, 0, 0, 1, 4, 1, 2, 2, 4, 0, 0, 0, 2, 0, 1]
pubkeycol455 = [3, 1, 3, 2, 4, 1, 0, 0, 3, 3, 2, 0, 0, 2, 4, 2, 1, 1, 3, 4, 1, 4, 2, 3, 2, 4, 1, 1, 4, 4, 4, 3, 3, 0, 2, 0, 1, 3, 0, 0, 1, 1, 2, 1, 0, 2, 4, 3, 3, 3, 3, 2, 4, 4, 2, 2, 4, 1, 3, 2, 0, 3, 0, 3, 4, 1, 2, 3, 4, 0, 4, 3, 4, 1, 2, 3, 3, 2, 3, 3, 1, 2, 2, 4, 3, 4, 2, 0, 0, 0, 1, 1, 1, 4, 4, 2, 3, 4, 2, 3, 4, 0, 2, 1, 3, 3, 0, 4, 4, 1, 2, 3, 1, 0, 4, 2, 0, 1, 2, 4, 3, 2, 4, 2, 3, 3, 1, 0, 3, 2, 3, 0, 2, 0, 2, 3, 3, 2, 0, 1, 1, 2, 3, 2, 2, 1, 3, 4, 4, 3, 3, 0, 3, 1, 3, 3, 0, 4, 0, 3, 0, 3, 0, 0, 4, 3, 4, 4, 3, 0, 4, 1, 3, 1, 2, 2, 4, 2, 0, 3, 3, 0, 2, 3, 1, 4, 4, 2, 3, 1, 0, 0, 2, 4, 4, 4, 3, 3, 0, 3, 2, 3, 0, 1, 3, 1, 1, 3, 0, 3, 1, 3, 3, 4, 4, 2, 0, 3, 0, 2, 4, 0, 4, 0, 4, 1, 1, 2, 4, 4, 2, 3, 0, 3, 0, 1, 4, 0, 1, 0, 4, 1, 1, 0, 4, 2, 1, 4, 4, 4, 0, 1, 3, 2, 0, 0, 4, 0, 3, 0, 1, 3, 1, 4, 4, 2, 4, 1, 3, 4, 2, 2, 0, 0, 4, 3, 3, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 2, 0, 1, 2, 0, 0, 4, 1, 2, 2, 3, 0, 2, 4, 4, 0, 1, 0, 2, 4, 1, 3, 3, 3, 4, 3, 4, 1, 4, 1, 3, 0, 4, 3, 2, 4, 0, 0, 0, 0, 1, 2, 3, 4, 1, 2, 0, 1, 2, 4, 3, 4, 4, 1, 3, 0, 4, 0, 1, 4, 0, 0, 2, 3, 3, 3, 2, 3, 1, 4, 3, 0, 4, 2, 0, 1, 0, 4, 1, 2, 4, 2, 2, 1, 2, 3, 1, 1, 4, 0, 4, 3, 4, 1, 2, 1, 0, 0, 1, 4, 2, 2, 0, 3, 4, 3, 4, 4, 2]
pubkeycol456 = [1, 2, 2, 4, 2, 4, 2, 0, 2, 4, 1, 0, 1, 1, 3, 1, 4, 3, 1, 3, 2, 0, 1, 1, 1, 2, 3, 4, 0, 1, 2, 4, 3, 0, 2, 3, 4, 3, 1, 3, 3, 2, 3, 0, 1, 1, 2, 2, 4, 0, 1, 4, 4, 4, 0, 0, 3, 1, 3, 4, 1, 4, 0, 4, 4, 3, 4, 4, 0, 2, 2, 2, 4, 4, 0, 4, 2, 4, 1, 4, 1, 2, 2, 0, 4, 3, 2, 1, 3, 0, 2, 0, 1, 2, 1, 0, 3, 0, 1, 3, 4, 4, 1, 2, 4, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 4, 0, 3, 4, 3, 2, 3, 0, 0, 0, 2, 2, 0, 2, 0, 1, 3, 3, 4, 0, 4, 3, 1, 1, 3, 3, 1, 0, 0, 1, 2, 4, 1, 0, 4, 3, 4, 0, 3, 2, 4, 3, 1, 0, 4, 4, 1, 0, 1, 3, 3, 3, 1, 4, 4, 4, 3, 0, 4, 3, 2, 4, 4, 4, 0, 4, 3, 2, 3, 4, 3, 2, 3, 1, 2, 1, 3, 2, 3, 3, 3, 0, 0, 4, 0, 3, 1, 2, 0, 4, 2, 2, 2, 3, 2, 1, 2, 4, 2, 0, 1, 0, 0, 2, 2, 3, 0, 2, 3, 4, 2, 3, 3, 1, 1, 2, 4, 4, 0, 3, 0, 2, 0, 4, 3, 3, 2, 1, 4, 1, 3, 1, 2, 2, 4, 0, 1, 0, 1, 4, 2, 2, 3, 2, 2, 0, 3, 1, 4, 4, 2, 3, 2, 4, 3, 0, 1, 2, 4, 1, 2, 2, 2, 0, 3, 1, 1, 0, 4, 2, 1, 2, 4, 4, 1, 1, 1, 1, 1, 1, 2, 3, 4, 2, 3, 3, 4, 3, 4, 0, 3, 3, 2, 1, 0, 3, 2, 2, 0, 0, 2, 3, 0, 4, 0, 4, 4, 4, 2, 1, 0, 1, 2, 0, 2, 2, 1, 4, 3, 1, 3, 4, 0, 1, 4, 0, 4, 0, 1, 3, 2, 1, 3, 2, 2, 1, 3, 3, 4, 3, 1, 1, 0, 2, 1, 1, 4, 3, 3, 3, 2, 2, 2, 4, 2, 1, 4, 3, 4, 1, 4, 2, 4, 1, 1, 4, 2, 0, 2, 4, 2, 2, 1, 2, 1, 0, 4, 0, 1, 0, 3, 3, 2, 0, 4]
pubkeycol457 = [3, 4, 0, 0, 1, 3, 3, 2, 2, 2, 3, 4, 1, 3, 3, 0, 3, 4, 2, 2, 2, 0, 4, 1, 1, 1, 0, 4, 1, 2, 4, 3, 2, 2, 1, 4, 1, 0, 2, 2, 2, 3, 3, 3, 0, 0, 1, 2, 2, 3, 3, 4, 1, 2, 3, 0, 4, 0, 0, 3, 4, 1, 1, 0, 4, 2, 2, 2, 0, 3, 2, 1, 2, 0, 0, 0, 2, 3, 3, 3, 2, 1, 3, 0, 3, 0, 3, 1, 0, 2, 4, 3, 0, 2, 2, 0, 4, 4, 4, 0, 1, 1, 2, 3, 1, 4, 1, 1, 1, 3, 4, 2, 1, 2, 1, 1, 4, 2, 1, 2, 1, 1, 3, 2, 1, 4, 4, 2, 3, 4, 0, 0, 1, 0, 1, 2, 0, 1, 4, 4, 1, 4, 2, 4, 1, 3, 1, 2, 2, 3, 2, 0, 3, 4, 0, 1, 2, 1, 4, 0, 1, 2, 0, 1, 0, 4, 0, 0, 2, 2, 1, 3, 3, 3, 2, 0, 1, 2, 2, 2, 1, 1, 4, 0, 4, 1, 4, 0, 0, 4, 0, 4, 1, 1, 4, 2, 4, 0, 2, 1, 4, 3, 1, 2, 0, 1, 1, 3, 4, 1, 1, 3, 2, 0, 1, 0, 2, 0, 2, 1, 4, 0, 0, 3, 0, 1, 3, 2, 3, 0, 3, 4, 3, 2, 4, 4, 3, 2, 1, 0, 1, 2, 2, 4, 4, 2, 3, 0, 1, 3, 4, 2, 1, 0, 3, 4, 0, 1, 4, 1, 0, 1, 4, 1, 0, 3, 0, 1, 2, 0, 3, 4, 4, 1, 2, 3, 2, 2, 2, 3, 0, 3, 3, 2, 0, 4, 1, 2, 1, 2, 4, 1, 3, 1, 3, 0, 1, 2, 0, 3, 2, 0, 2, 4, 2, 2, 2, 3, 0, 2, 2, 1, 3, 2, 4, 2, 1, 3, 1, 1, 0, 0, 2, 3, 1, 0, 2, 0, 3, 2, 3, 3, 4, 2, 2, 0, 0, 2, 2, 1, 4, 0, 2, 3, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 4, 2, 4, 2, 1, 0, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 3, 2, 0, 0, 2, 1, 2, 4, 2, 4, 1, 3, 2, 1, 3, 1, 4, 1, 3, 1, 4, 4, 2, 3, 0, 1, 2, 2, 1]
pubkeycol458 = [1, 3, 1, 3, 1, 1, 3, 2, 3, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 3, 2, 4, 0, 4, 2, 3, 3, 2, 3, 4, 4, 2, 2, 1, 3, 4, 4, 1, 2, 2, 2, 0, 2, 1, 1, 2, 4, 4, 4, 3, 3, 0, 0, 1, 3, 1, 2, 1, 4, 2, 0, 0, 4, 1, 4, 2, 4, 0, 3, 3, 2, 0, 3, 4, 2, 1, 3, 2, 2, 4, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 4, 2, 3, 3, 3, 2, 0, 0, 0, 1, 3, 3, 4, 4, 3, 0, 3, 0, 2, 1, 3, 1, 1, 1, 0, 2, 2, 0, 3, 2, 1, 3, 3, 0, 4, 2, 4, 4, 2, 4, 1, 3, 2, 1, 1, 0, 0, 3, 0, 3, 4, 3, 3, 2, 3, 1, 1, 3, 3, 2, 4, 4, 3, 0, 4, 2, 1, 0, 3, 0, 0, 4, 0, 2, 2, 1, 4, 3, 2, 1, 0, 0, 0, 1, 3, 4, 0, 0, 1, 1, 0, 2, 3, 3, 0, 4, 3, 1, 0, 3, 2, 4, 3, 0, 0, 1, 1, 2, 1, 3, 4, 3, 3, 0, 0, 1, 0, 4, 3, 2, 3, 2, 2, 4, 2, 2, 1, 1, 3, 4, 1, 0, 4, 1, 1, 4, 3, 2, 2, 2, 2, 4, 0, 4, 3, 1, 4, 0, 1, 2, 1, 3, 2, 3, 2, 3, 0, 3, 4, 3, 0, 4, 4, 0, 1, 3, 2, 3, 1, 0, 3, 4, 1, 2, 2, 4, 4, 0, 0, 3, 0, 1, 2, 0, 3, 4, 4, 1, 4, 1, 3, 1, 3, 2, 4, 3, 2, 2, 4, 1, 3, 4, 3, 0, 3, 4, 1, 3, 0, 4, 1, 0, 4, 1, 2, 2, 2, 1, 4, 2, 4, 3, 3, 3, 3, 2, 4, 0, 4, 3, 3, 1, 1, 2, 1, 3, 2, 1, 4, 0, 0, 3, 0, 4, 4, 1, 0, 2, 3, 1, 4, 0, 1, 4, 1, 3, 2, 2, 3, 4, 1, 0, 0, 3, 1, 3, 2, 1, 1, 1, 1, 3, 4, 1, 1, 2, 4, 3, 0, 3, 1, 0, 3, 0, 3, 3, 0, 2, 2, 4, 1, 3, 0, 2, 3, 1, 0, 4, 2, 4, 1, 3]
pubkeycol459 = [0, 2, 4, 1, 4, 4, 3, 4, 0, 0, 1, 1, 2, 4, 3, 2, 4, 3, 0, 2, 3, 0, 3, 1, 2, 3, 2, 0, 4, 0, 1, 1, 0, 1, 3, 3, 3, 4, 4, 3, 4, 4, 1, 4, 2, 2, 3, 3, 4, 4, 0, 0, 1, 4, 4, 2, 1, 3, 1, 1, 0, 1, 4, 1, 3, 4, 2, 1, 1, 4, 2, 1, 4, 1, 1, 0, 0, 3, 4, 0, 2, 3, 4, 1, 3, 1, 4, 0, 1, 0, 3, 2, 2, 3, 2, 2, 1, 1, 4, 0, 2, 2, 3, 2, 2, 1, 0, 1, 4, 0, 0, 0, 1, 3, 2, 2, 0, 4, 3, 1, 1, 4, 1, 1, 1, 2, 0, 2, 1, 2, 1, 4, 3, 1, 1, 3, 1, 0, 3, 0, 0, 0, 2, 1, 3, 2, 3, 2, 2, 0, 4, 3, 0, 0, 0, 0, 2, 4, 0, 0, 3, 4, 1, 2, 4, 1, 0, 0, 3, 2, 3, 1, 3, 2, 3, 4, 3, 1, 4, 2, 4, 3, 3, 0, 3, 1, 3, 0, 3, 1, 2, 4, 0, 3, 1, 4, 1, 3, 1, 0, 1, 3, 1, 3, 2, 0, 2, 3, 1, 0, 3, 4, 1, 2, 0, 3, 0, 4, 1, 0, 0, 1, 2, 3, 1, 4, 0, 0, 4, 3, 4, 3, 0, 2, 1, 4, 4, 2, 1, 4, 0, 3, 0, 1, 2, 1, 0, 4, 2, 4, 3, 2, 2, 4, 0, 1, 4, 3, 3, 0, 0, 4, 3, 1, 3, 3, 2, 4, 2, 1, 2, 3, 3, 4, 1, 0, 0, 4, 4, 1, 3, 0, 0, 4, 1, 1, 0, 4, 2, 4, 0, 3, 1, 1, 2, 2, 1, 3, 0, 0, 0, 4, 3, 2, 4, 3, 4, 4, 2, 2, 4, 4, 3, 4, 3, 4, 4, 2, 1, 2, 1, 1, 3, 0, 2, 2, 4, 1, 1, 3, 3, 0, 3, 0, 1, 3, 1, 1, 2, 1, 1, 3, 3, 1, 2, 3, 1, 1, 2, 1, 1, 4, 0, 0, 2, 1, 3, 4, 0, 4, 3, 4, 3, 4, 1, 4, 2, 4, 2, 3, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 4, 4, 3, 2, 3, 0, 3, 1, 0, 3, 3, 4, 0, 3, 3, 0, 2, 2, 3, 4]
pubkeycol460 = [3, 1, 2, 3, 1, 0, 2, 4, 1, 3, 0, 4, 1, 4, 3, 0, 2, 3, 3, 4, 1, 0, 0, 4, 2, 2, 1, 2, 2, 0, 3, 3, 2, 4, 3, 0, 2, 2, 0, 2, 1, 2, 0, 4, 0, 4, 3, 3, 2, 2, 0, 0, 2, 1, 3, 4, 0, 4, 3, 4, 1, 1, 3, 4, 4, 2, 3, 4, 1, 0, 1, 4, 2, 2, 0, 1, 4, 1, 2, 3, 1, 1, 1, 0, 2, 0, 0, 3, 4, 2, 0, 1, 0, 2, 4, 3, 4, 4, 0, 4, 3, 2, 4, 1, 1, 1, 2, 1, 1, 0, 4, 1, 4, 0, 0, 2, 3, 1, 1, 0, 2, 4, 2, 3, 0, 2, 3, 4, 1, 2, 4, 3, 4, 3, 2, 3, 2, 4, 3, 4, 2, 2, 0, 3, 1, 1, 2, 3, 2, 1, 1, 4, 3, 1, 4, 4, 1, 0, 2, 2, 4, 1, 4, 3, 4, 1, 3, 0, 3, 3, 2, 4, 1, 3, 2, 1, 4, 0, 1, 1, 4, 4, 3, 0, 3, 2, 3, 1, 0, 1, 1, 4, 4, 1, 0, 2, 4, 2, 3, 2, 0, 2, 1, 4, 1, 2, 0, 3, 0, 3, 3, 4, 3, 1, 3, 2, 0, 2, 4, 4, 1, 2, 3, 4, 2, 0, 0, 2, 0, 4, 2, 2, 4, 1, 4, 2, 3, 3, 0, 1, 4, 3, 1, 0, 0, 0, 2, 4, 2, 3, 1, 4, 2, 3, 1, 1, 4, 3, 1, 1, 3, 3, 4, 2, 2, 0, 3, 2, 1, 2, 1, 0, 2, 3, 1, 2, 1, 0, 1, 1, 3, 4, 3, 0, 2, 0, 4, 0, 4, 1, 1, 0, 0, 1, 1, 4, 1, 3, 3, 3, 3, 1, 1, 4, 3, 3, 3, 2, 3, 0, 2, 2, 1, 2, 2, 2, 3, 2, 3, 0, 3, 2, 3, 3, 3, 4, 4, 0, 2, 4, 0, 0, 2, 3, 4, 0, 4, 0, 0, 4, 2, 3, 4, 0, 2, 3, 3, 0, 1, 3, 4, 2, 0, 1, 3, 0, 4, 3, 2, 3, 0, 1, 3, 2, 3, 4, 4, 0, 2, 3, 1, 2, 3, 1, 1, 4, 4, 4, 2, 0, 4, 4, 4, 3, 2, 0, 4, 2, 2, 2, 4, 0, 0, 4, 4, 4, 4, 3, 1, 1]
pubkeycol461 = [3, 2, 4, 3, 1, 0, 1, 3, 1, 0, 2, 3, 3, 2, 1, 1, 3, 4, 3, 3, 2, 2, 4, 4, 0, 2, 3, 2, 1, 4, 2, 3, 2, 1, 3, 4, 4, 2, 3, 3, 0, 2, 1, 1, 0, 3, 0, 1, 3, 2, 2, 4, 1, 2, 4, 1, 1, 0, 0, 1, 3, 4, 4, 3, 4, 2, 4, 3, 0, 0, 3, 1, 4, 2, 3, 4, 3, 3, 1, 2, 1, 4, 3, 2, 4, 4, 1, 3, 4, 0, 4, 2, 1, 4, 3, 0, 1, 1, 3, 3, 2, 3, 3, 0, 4, 0, 2, 2, 4, 4, 3, 4, 4, 0, 0, 0, 4, 0, 0, 0, 3, 1, 0, 2, 0, 4, 3, 0, 2, 1, 1, 1, 1, 1, 4, 0, 0, 0, 1, 0, 0, 4, 4, 3, 4, 3, 1, 3, 0, 1, 1, 2, 1, 4, 2, 1, 1, 2, 3, 0, 2, 0, 1, 3, 4, 3, 3, 4, 2, 0, 4, 3, 2, 0, 3, 0, 4, 4, 4, 3, 3, 2, 4, 1, 2, 1, 2, 2, 4, 2, 4, 1, 1, 4, 1, 0, 3, 1, 2, 3, 4, 1, 4, 1, 1, 2, 0, 0, 4, 0, 0, 2, 0, 2, 4, 4, 3, 1, 0, 3, 1, 3, 1, 3, 4, 0, 3, 0, 0, 3, 1, 3, 1, 3, 3, 2, 4, 1, 2, 0, 0, 0, 2, 3, 4, 1, 3, 3, 0, 1, 1, 0, 4, 2, 0, 2, 1, 4, 3, 2, 0, 4, 2, 3, 4, 3, 1, 4, 1, 4, 2, 2, 1, 3, 1, 1, 3, 3, 2, 0, 3, 0, 1, 4, 2, 1, 1, 1, 2, 4, 3, 1, 3, 3, 3, 4, 4, 0, 3, 4, 1, 0, 0, 3, 2, 4, 0, 2, 0, 0, 3, 4, 4, 4, 4, 4, 3, 4, 2, 4, 0, 1, 2, 2, 2, 2, 3, 2, 2, 1, 0, 2, 2, 4, 3, 2, 2, 2, 3, 1, 3, 3, 2, 2, 2, 1, 2, 3, 1, 2, 4, 2, 0, 4, 3, 4, 4, 2, 3, 3, 3, 0, 0, 1, 0, 4, 2, 3, 2, 4, 2, 4, 1, 0, 3, 3, 1, 2, 1, 4, 4, 1, 4, 0, 1, 3, 2, 2, 4, 2, 2, 0, 0, 0, 3, 0, 4, 3, 4, 0]
pubkeycol462 = [0, 3, 0, 2, 0, 3, 2, 2, 4, 3, 1, 0, 3, 3, 1, 1, 2, 4, 1, 4, 0, 0, 1, 4, 1, 4, 1, 1, 0, 3, 1, 1, 2, 0, 4, 4, 2, 3, 3, 4, 1, 1, 4, 1, 2, 0, 2, 4, 0, 2, 1, 4, 4, 0, 3, 3, 4, 0, 3, 3, 4, 4, 4, 4, 1, 4, 2, 3, 2, 0, 2, 1, 1, 1, 3, 1, 1, 1, 0, 2, 4, 2, 0, 2, 3, 4, 0, 1, 1, 0, 4, 4, 4, 0, 4, 0, 3, 0, 0, 4, 3, 1, 3, 2, 4, 2, 1, 2, 0, 3, 3, 1, 3, 4, 3, 4, 2, 4, 0, 2, 4, 0, 0, 2, 2, 0, 3, 3, 3, 4, 4, 3, 2, 2, 0, 0, 4, 0, 2, 3, 1, 1, 2, 0, 3, 1, 0, 2, 0, 4, 2, 1, 4, 0, 0, 4, 1, 1, 4, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 1, 1, 2, 3, 1, 3, 3, 4, 1, 3, 0, 0, 1, 1, 0, 4, 0, 4, 1, 1, 4, 2, 0, 1, 4, 0, 4, 1, 0, 3, 2, 1, 4, 3, 2, 2, 0, 4, 3, 1, 1, 4, 3, 1, 3, 4, 1, 1, 1, 0, 1, 3, 4, 4, 0, 4, 3, 3, 4, 3, 3, 3, 1, 0, 1, 2, 4, 3, 2, 4, 1, 3, 1, 1, 1, 3, 0, 3, 1, 3, 2, 3, 1, 3, 3, 4, 0, 3, 0, 1, 3, 4, 1, 3, 0, 2, 2, 0, 4, 2, 3, 1, 4, 4, 0, 2, 3, 0, 3, 3, 2, 4, 4, 3, 0, 4, 4, 0, 1, 0, 2, 3, 3, 1, 1, 3, 3, 0, 0, 2, 4, 4, 1, 2, 2, 1, 1, 3, 2, 3, 0, 4, 3, 1, 4, 4, 4, 3, 0, 2, 1, 3, 3, 2, 4, 4, 3, 1, 4, 2, 0, 0, 1, 0, 4, 3, 4, 2, 4, 2, 4, 3, 0, 4, 1, 1, 0, 2, 4, 2, 2, 1, 4, 0, 2, 1, 3, 2, 2, 1, 1, 2, 2, 4, 3, 3, 0, 4, 4, 0, 3, 0, 3, 3, 4, 3, 1, 1, 4, 4, 0, 1, 4, 3, 3, 0, 0, 3, 0, 2, 0, 2, 2, 0, 0]
pubkeycol463 = [3, 0, 1, 4, 1, 4, 1, 2, 4, 4, 2, 3, 3, 2, 4, 4, 0, 3, 4, 1, 3, 2, 3, 4, 1, 2, 0, 2, 1, 4, 0, 3, 3, 2, 0, 2, 1, 4, 3, 1, 0, 2, 3, 3, 0, 2, 3, 3, 4, 4, 2, 0, 3, 0, 4, 0, 0, 3, 3, 4, 2, 3, 0, 1, 4, 2, 4, 3, 2, 0, 1, 4, 1, 0, 3, 1, 3, 2, 0, 4, 2, 4, 4, 0, 1, 3, 0, 1, 4, 0, 0, 3, 3, 3, 4, 3, 4, 1, 2, 3, 4, 0, 1, 3, 1, 1, 2, 3, 0, 4, 3, 4, 2, 4, 2, 4, 4, 0, 2, 2, 3, 3, 2, 1, 4, 1, 2, 0, 2, 4, 0, 3, 3, 1, 3, 1, 4, 0, 3, 3, 0, 2, 0, 3, 4, 3, 0, 2, 0, 2, 3, 3, 1, 3, 2, 4, 3, 3, 2, 0, 3, 3, 4, 1, 4, 0, 0, 1, 3, 1, 2, 0, 3, 1, 1, 4, 0, 0, 3, 3, 2, 4, 3, 2, 1, 0, 1, 1, 4, 3, 4, 0, 3, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 4, 4, 2, 4, 2, 3, 0, 0, 1, 0, 2, 4, 4, 3, 1, 0, 1, 4, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 3, 2, 2, 3, 2, 2, 2, 2, 4, 4, 0, 2, 3, 2, 4, 2, 1, 1, 3, 1, 1, 1, 4, 2, 4, 4, 0, 4, 4, 0, 1, 4, 1, 3, 3, 4, 0, 0, 2, 2, 1, 1, 4, 2, 0, 2, 2, 4, 1, 0, 0, 0, 3, 0, 2, 0, 4, 4, 4, 2, 1, 2, 3, 1, 0, 1, 2, 4, 3, 0, 3, 3, 3, 2, 2, 1, 1, 2, 4, 0, 3, 1, 3, 0, 3, 3, 2, 3, 0, 4, 2, 2, 1, 2, 2, 4, 0, 4, 4, 3, 4, 3, 4, 2, 3, 1, 4, 3, 2, 1, 4, 2, 2, 2, 2, 1, 2, 4, 2, 4, 4, 4, 1, 0, 1, 4, 3, 4, 1, 0, 3, 4, 2, 1, 0, 1, 2, 2, 0, 4, 0, 2, 0, 4, 1, 3, 2, 1, 2, 3, 3, 1, 2, 3, 0, 4, 0, 2, 2, 3, 2, 2, 0, 1, 1, 3, 2]
pubkeycol464 = [1, 1, 2, 2, 1, 3, 4, 0, 4, 0, 1, 2, 1, 2, 2, 2, 3, 4, 2, 1, 4, 2, 2, 4, 4, 1, 1, 0, 4, 3, 1, 0, 2, 0, 2, 3, 1, 2, 1, 0, 4, 2, 3, 3, 1, 4, 0, 0, 0, 3, 4, 3, 3, 1, 4, 4, 0, 1, 1, 2, 2, 3, 3, 3, 3, 1, 2, 0, 0, 1, 1, 1, 3, 0, 1, 1, 0, 0, 0, 2, 0, 4, 1, 2, 2, 1, 4, 2, 1, 2, 1, 2, 4, 1, 4, 2, 2, 3, 3, 2, 4, 0, 1, 3, 1, 1, 3, 0, 1, 0, 3, 2, 0, 1, 4, 4, 1, 0, 4, 2, 2, 1, 0, 0, 2, 3, 2, 1, 4, 3, 0, 2, 0, 4, 3, 4, 0, 1, 3, 4, 3, 1, 0, 1, 2, 3, 2, 2, 4, 0, 0, 4, 2, 4, 2, 1, 1, 0, 1, 0, 0, 4, 0, 1, 1, 1, 4, 4, 2, 1, 1, 3, 0, 2, 3, 0, 2, 2, 2, 3, 3, 3, 2, 1, 3, 1, 1, 2, 2, 4, 2, 3, 3, 2, 1, 3, 3, 0, 3, 2, 4, 1, 0, 4, 1, 0, 2, 2, 4, 4, 1, 2, 3, 4, 3, 2, 3, 3, 2, 4, 3, 2, 2, 4, 4, 2, 4, 2, 3, 4, 1, 3, 4, 0, 3, 1, 0, 2, 4, 1, 4, 2, 4, 2, 1, 2, 4, 1, 4, 3, 4, 4, 2, 2, 1, 4, 0, 1, 1, 0, 4, 2, 2, 3, 3, 1, 0, 4, 1, 1, 0, 3, 2, 2, 1, 4, 4, 4, 2, 1, 1, 0, 1, 4, 3, 4, 0, 2, 3, 1, 0, 2, 3, 2, 1, 4, 1, 4, 1, 3, 4, 3, 4, 3, 0, 0, 2, 2, 0, 3, 2, 2, 4, 1, 3, 0, 2, 2, 0, 1, 2, 4, 2, 3, 3, 4, 0, 3, 3, 1, 1, 0, 0, 2, 3, 2, 2, 2, 4, 3, 2, 1, 2, 1, 2, 1, 2, 3, 1, 4, 1, 2, 1, 0, 4, 1, 2, 2, 2, 1, 3, 1, 0, 0, 0, 1, 4, 3, 0, 1, 3, 2, 2, 3, 0, 1, 2, 4, 3, 4, 4, 1, 3, 4, 1, 3, 2, 1, 4, 1, 3, 3, 1, 2, 3, 2, 3, 0, 4, 4]
pubkeycol465 = [1, 0, 4, 4, 3, 3, 2, 2, 3, 2, 0, 1, 4, 4, 1, 0, 0, 2, 0, 1, 4, 3, 4, 3, 3, 3, 3, 3, 1, 1, 2, 0, 3, 2, 1, 1, 2, 0, 1, 3, 0, 4, 0, 1, 0, 2, 4, 0, 4, 1, 0, 1, 3, 4, 4, 1, 2, 0, 4, 0, 3, 0, 3, 1, 3, 4, 0, 1, 3, 0, 2, 2, 2, 3, 1, 3, 4, 2, 1, 2, 1, 1, 3, 2, 1, 2, 4, 0, 1, 4, 3, 0, 1, 0, 2, 2, 4, 3, 0, 1, 2, 4, 0, 0, 1, 1, 4, 4, 3, 2, 0, 3, 3, 1, 0, 2, 1, 4, 3, 3, 4, 3, 3, 3, 3, 1, 1, 2, 1, 0, 2, 4, 0, 2, 2, 1, 3, 1, 4, 4, 1, 1, 2, 0, 3, 0, 0, 3, 2, 3, 0, 0, 3, 0, 4, 0, 3, 4, 4, 2, 0, 1, 3, 1, 2, 2, 4, 4, 3, 1, 1, 3, 0, 2, 0, 0, 3, 3, 4, 3, 2, 2, 3, 3, 2, 0, 0, 2, 4, 0, 0, 2, 0, 0, 3, 3, 3, 3, 1, 0, 3, 4, 2, 3, 3, 4, 4, 0, 4, 1, 4, 0, 0, 1, 1, 3, 1, 3, 3, 4, 4, 2, 2, 3, 1, 2, 1, 0, 1, 3, 0, 3, 4, 2, 1, 3, 0, 2, 2, 0, 4, 1, 4, 1, 1, 4, 4, 4, 3, 0, 1, 0, 4, 2, 1, 0, 0, 0, 2, 1, 3, 2, 1, 4, 0, 1, 3, 1, 1, 4, 4, 3, 4, 4, 4, 1, 4, 2, 4, 1, 0, 3, 3, 0, 3, 3, 0, 4, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 4, 3, 2, 0, 4, 0, 3, 3, 1, 1, 3, 2, 1, 2, 1, 0, 1, 0, 0, 3, 3, 1, 0, 4, 4, 0, 4, 4, 3, 0, 4, 3, 4, 2, 0, 4, 2, 2, 2, 1, 1, 4, 4, 3, 4, 3, 4, 0, 4, 4, 3, 1, 0, 4, 2, 2, 0, 4, 0, 4, 1, 1, 4, 0, 2, 1, 1, 4, 0, 3, 0, 1, 4, 0, 2, 0, 0, 2, 3, 0, 0, 4, 2, 0, 3, 3, 4, 2, 1, 3, 2, 3, 3, 1, 3]
pubkeycol466 = [4, 4, 3, 3, 3, 4, 1, 1, 1, 4, 0, 4, 4, 1, 4, 4, 3, 2, 0, 3, 2, 3, 0, 3, 2, 0, 0, 1, 4, 3, 1, 0, 3, 4, 1, 0, 2, 3, 0, 3, 1, 0, 2, 0, 2, 2, 0, 2, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 1, 0, 4, 4, 1, 0, 3, 0, 0, 3, 0, 3, 0, 4, 0, 0, 1, 4, 4, 2, 0, 4, 0, 2, 0, 2, 0, 4, 1, 4, 4, 2, 2, 4, 3, 0, 1, 1, 3, 2, 4, 4, 3, 2, 2, 4, 3, 3, 2, 2, 0, 0, 4, 4, 4, 3, 3, 2, 4, 1, 1, 0, 1, 4, 3, 4, 2, 0, 4, 0, 0, 1, 4, 4, 2, 2, 1, 0, 2, 2, 2, 1, 1, 4, 0, 4, 1, 1, 1, 2, 3, 4, 2, 0, 0, 3, 3, 1, 3, 4, 4, 3, 3, 1, 4, 1, 4, 3, 1, 1, 0, 0, 3, 2, 2, 4, 4, 2, 4, 2, 2, 1, 4, 3, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 3, 3, 2, 4, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 4, 2, 3, 4, 4, 0, 3, 0, 3, 2, 3, 4, 4, 1, 2, 0, 1, 3, 1, 2, 0, 1, 4, 1, 0, 2, 3, 3, 1, 2, 1, 4, 1, 2, 4, 4, 1, 1, 3, 2, 0, 1, 2, 2, 4, 4, 3, 2, 3, 4, 1, 2, 2, 0, 1, 4, 3, 4, 3, 2, 0, 1, 3, 0, 4, 1, 2, 2, 1, 3, 2, 2, 3, 4, 3, 3, 0, 1, 1, 3, 1, 2, 4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 1, 0, 2, 0, 1, 3, 1, 0, 3, 2, 2, 4, 2, 3, 1, 1, 0, 4, 2, 0, 0, 3, 2, 0, 2, 1, 2, 4, 4, 3, 2, 1, 2, 0, 2, 2, 2, 4, 3, 4, 1, 2, 1, 4, 4, 0, 1, 0, 1, 3, 2, 3, 0, 2, 0, 1, 1, 2, 2, 3, 3, 4, 1, 0, 3, 4, 2, 0, 2, 0, 3, 2, 2, 1, 0, 3, 4, 2, 3, 1, 0, 0, 3, 0, 1, 3, 2, 1, 0, 4, 3, 4, 4, 0, 0, 0, 2, 3, 0]
pubkeycol467 = [3, 0, 2, 2, 1, 2, 3, 2, 3, 2, 3, 1, 0, 3, 2, 2, 3, 0, 0, 0, 2, 1, 0, 4, 4, 0, 2, 0, 3, 1, 3, 2, 3, 2, 1, 0, 3, 3, 0, 1, 4, 4, 1, 0, 0, 0, 3, 4, 0, 4, 3, 1, 2, 1, 3, 1, 3, 0, 2, 4, 4, 1, 3, 4, 0, 0, 1, 1, 4, 1, 3, 1, 4, 3, 4, 0, 1, 4, 1, 1, 0, 1, 2, 3, 0, 2, 2, 3, 4, 0, 3, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 4, 3, 1, 4, 4, 1, 2, 3, 1, 4, 0, 2, 4, 3, 4, 0, 3, 0, 1, 0, 4, 4, 2, 3, 4, 0, 1, 4, 3, 1, 0, 3, 0, 2, 1, 0, 0, 3, 2, 1, 4, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 4, 2, 2, 3, 2, 4, 4, 1, 1, 4, 1, 3, 0, 1, 4, 0, 2, 0, 4, 0, 4, 3, 0, 3, 3, 4, 2, 1, 1, 2, 1, 2, 1, 3, 3, 3, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 4, 3, 3, 1, 1, 1, 4, 1, 0, 3, 1, 2, 0, 3, 0, 3, 3, 2, 1, 3, 0, 1, 2, 1, 1, 2, 3, 3, 2, 3, 4, 4, 4, 2, 3, 1, 0, 2, 0, 2, 3, 3, 3, 0, 0, 1, 3, 4, 2, 2, 1, 4, 1, 3, 4, 2, 1, 4, 0, 2, 4, 0, 3, 2, 4, 3, 3, 4, 3, 1, 2, 4, 0, 2, 2, 4, 1, 0, 3, 4, 1, 0, 1, 2, 0, 4, 2, 4, 4, 1, 4, 3, 0, 4, 0, 3, 2, 3, 4, 3, 1, 3, 4, 2, 4, 1, 2, 0, 2, 2, 3, 2, 3, 1, 3, 3, 2, 1, 4, 0, 1, 0, 4, 1, 3, 4, 1, 0, 1, 2, 0, 0, 4, 2, 2, 1, 4, 4, 2, 2, 2, 1, 4, 2, 1, 0, 1, 2, 1, 0, 2, 0, 3, 2, 1, 0, 2, 0, 2, 2, 1, 3, 3, 3, 0, 1, 0, 0, 2, 2, 3, 1, 3, 3, 1, 3, 3, 0, 4, 0, 0, 4, 0, 1, 2, 0, 1]
pubkeycol468 = [1, 1, 1, 3, 1, 2, 1, 4, 1, 0, 2, 3, 3, 1, 3, 0, 3, 2, 1, 2, 0, 0, 2, 1, 3, 1, 3, 2, 1, 1, 1, 1, 2, 4, 1, 3, 1, 4, 3, 0, 2, 3, 3, 2, 3, 3, 0, 3, 3, 3, 4, 4, 1, 4, 1, 1, 4, 1, 2, 3, 4, 3, 1, 2, 1, 2, 3, 1, 0, 4, 2, 0, 3, 2, 1, 2, 1, 2, 0, 4, 3, 1, 2, 0, 3, 1, 1, 4, 2, 1, 4, 1, 0, 0, 0, 0, 2, 0, 4, 2, 2, 0, 0, 3, 2, 4, 2, 1, 4, 1, 2, 0, 3, 4, 3, 1, 4, 2, 3, 3, 0, 0, 1, 2, 0, 0, 0, 0, 1, 3, 3, 2, 4, 2, 1, 1, 2, 2, 3, 1, 0, 4, 1, 0, 4, 3, 3, 3, 0, 4, 0, 2, 2, 2, 1, 4, 3, 0, 2, 0, 0, 4, 4, 3, 4, 2, 1, 4, 2, 1, 2, 1, 0, 4, 2, 4, 4, 0, 4, 2, 4, 4, 2, 1, 1, 0, 3, 3, 4, 0, 1, 3, 4, 1, 4, 1, 1, 0, 0, 4, 4, 3, 2, 2, 0, 4, 3, 2, 2, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 4, 3, 4, 0, 0, 0, 4, 4, 3, 0, 2, 4, 1, 0, 4, 3, 4, 1, 0, 4, 0, 3, 2, 1, 3, 3, 2, 3, 0, 2, 3, 2, 3, 4, 0, 1, 3, 0, 4, 3, 0, 1, 4, 1, 1, 2, 4, 3, 3, 1, 3, 4, 4, 1, 4, 0, 2, 2, 4, 0, 0, 4, 1, 3, 4, 1, 3, 3, 1, 0, 1, 2, 1, 0, 2, 4, 0, 3, 4, 0, 4, 4, 0, 2, 0, 2, 0, 1, 4, 3, 2, 3, 4, 1, 4, 0, 4, 0, 3, 4, 2, 3, 4, 2, 4, 3, 4, 4, 2, 1, 2, 2, 2, 0, 3, 4, 0, 1, 4, 0, 2, 1, 1, 1, 3, 2, 4, 1, 4, 3, 1, 1, 1, 4, 3, 3, 2, 0, 3, 4, 1, 0, 3, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 4, 1, 1, 4, 3, 0, 2, 3, 1, 3, 1, 4, 4, 4, 0, 1, 1, 0, 3, 4, 3, 2]
pubkeycol469 = [1, 2, 4, 1, 0, 4, 0, 4, 4, 4, 1, 0, 0, 1, 0, 4, 0, 2, 4, 3, 0, 4, 0, 0, 0, 4, 4, 0, 1, 3, 1, 1, 0, 1, 0, 0, 0, 4, 0, 0, 2, 4, 4, 2, 3, 2, 4, 3, 4, 2, 0, 3, 1, 4, 2, 2, 1, 3, 2, 4, 1, 0, 0, 1, 4, 4, 4, 0, 2, 3, 2, 1, 4, 0, 0, 2, 4, 1, 0, 2, 2, 4, 3, 3, 0, 4, 4, 2, 1, 0, 0, 4, 2, 2, 0, 1, 2, 1, 4, 2, 2, 2, 4, 3, 2, 2, 2, 3, 4, 4, 3, 4, 4, 1, 4, 3, 4, 0, 0, 0, 2, 3, 4, 1, 2, 0, 3, 4, 4, 0, 4, 3, 0, 1, 0, 2, 1, 2, 3, 3, 3, 1, 3, 3, 2, 1, 0, 3, 0, 4, 2, 1, 1, 2, 1, 1, 4, 0, 3, 4, 4, 0, 3, 0, 1, 1, 2, 0, 0, 4, 2, 2, 3, 1, 0, 3, 3, 1, 4, 2, 1, 2, 2, 2, 2, 4, 3, 4, 1, 3, 1, 2, 0, 2, 2, 2, 0, 3, 0, 0, 2, 0, 1, 4, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 3, 0, 2, 1, 0, 1, 4, 2, 2, 4, 4, 3, 4, 1, 4, 4, 0, 2, 4, 4, 3, 4, 3, 3, 2, 1, 3, 0, 3, 0, 0, 2, 4, 2, 3, 0, 2, 1, 4, 3, 1, 2, 1, 1, 3, 1, 1, 3, 2, 1, 0, 0, 1, 1, 3, 0, 3, 1, 3, 0, 1, 1, 2, 4, 0, 1, 3, 0, 3, 2, 3, 4, 1, 3, 4, 1, 2, 4, 2, 0, 2, 1, 1, 2, 3, 0, 2, 2, 4, 3, 1, 3, 4, 3, 3, 3, 1, 2, 4, 3, 0, 0, 4, 0, 2, 3, 1, 3, 2, 4, 3, 1, 2, 2, 4, 0, 3, 3, 2, 2, 1, 3, 4, 4, 2, 4, 3, 2, 4, 4, 1, 1, 4, 3, 2, 4, 4, 2, 1, 4, 2, 2, 1, 0, 3, 2, 0, 2, 1, 3, 0, 0, 4, 4, 0, 4, 1, 3, 0, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 4, 3, 0, 3, 3, 1, 4, 4, 4, 3, 0, 4, 2, 2]
pubkeycol470 = [4, 1, 4, 1, 2, 2, 1, 0, 2, 3, 3, 0, 4, 1, 0, 0, 2, 3, 2, 1, 3, 0, 0, 3, 2, 1, 3, 0, 4, 3, 2, 0, 1, 0, 0, 2, 2, 4, 4, 0, 0, 3, 0, 4, 1, 2, 0, 3, 3, 2, 0, 1, 2, 1, 1, 4, 3, 1, 4, 1, 0, 0, 3, 1, 2, 3, 1, 0, 0, 1, 0, 2, 4, 4, 1, 3, 2, 4, 3, 0, 2, 2, 3, 2, 0, 0, 4, 2, 4, 1, 4, 3, 1, 4, 3, 4, 2, 3, 1, 0, 1, 3, 1, 1, 1, 0, 4, 0, 1, 3, 2, 0, 2, 4, 4, 2, 4, 4, 4, 2, 2, 3, 4, 3, 0, 4, 1, 1, 3, 3, 2, 0, 1, 4, 2, 4, 0, 1, 3, 0, 1, 3, 4, 3, 2, 3, 4, 0, 2, 2, 3, 4, 2, 3, 4, 1, 4, 4, 0, 3, 2, 4, 4, 2, 1, 0, 0, 0, 3, 1, 2, 2, 2, 2, 4, 0, 0, 4, 1, 2, 2, 1, 1, 4, 3, 1, 0, 3, 2, 1, 4, 1, 2, 3, 1, 4, 3, 0, 1, 0, 2, 1, 2, 3, 2, 4, 1, 3, 3, 0, 1, 4, 2, 4, 2, 4, 2, 0, 3, 3, 1, 0, 4, 2, 3, 2, 4, 0, 2, 0, 0, 0, 0, 3, 1, 0, 0, 4, 2, 4, 4, 0, 2, 3, 0, 0, 2, 1, 1, 1, 2, 0, 0, 4, 2, 1, 1, 4, 1, 3, 4, 1, 0, 1, 1, 3, 2, 2, 0, 0, 4, 0, 1, 4, 4, 1, 4, 0, 2, 4, 0, 1, 1, 2, 0, 4, 1, 1, 4, 4, 4, 0, 4, 4, 1, 4, 1, 4, 2, 1, 3, 3, 4, 0, 2, 0, 4, 0, 2, 0, 0, 0, 2, 0, 0, 4, 2, 1, 3, 1, 3, 0, 2, 2, 0, 0, 4, 4, 1, 3, 1, 3, 1, 4, 4, 2, 0, 0, 4, 0, 3, 3, 4, 2, 2, 4, 0, 4, 0, 2, 3, 4, 4, 4, 1, 0, 0, 2, 4, 2, 4, 4, 3, 4, 0, 1, 3, 0, 4, 4, 0, 0, 2, 4, 2, 4, 4, 0, 0, 2, 1, 4, 4, 1, 2, 4, 2, 2, 3, 4, 1, 2, 4, 0, 0, 1, 1, 1, 4, 3]
pubkeycol471 = [3, 2, 4, 4, 4, 2, 2, 3, 0, 3, 0, 4, 4, 4, 1, 2, 1, 1, 3, 0, 2, 1, 2, 4, 0, 0, 1, 0, 4, 3, 2, 3, 4, 2, 0, 2, 2, 4, 2, 4, 3, 0, 1, 0, 3, 1, 2, 1, 0, 2, 3, 0, 1, 2, 0, 1, 2, 0, 3, 0, 2, 3, 1, 3, 4, 2, 1, 2, 2, 0, 1, 3, 1, 2, 2, 2, 3, 1, 2, 1, 0, 1, 3, 1, 3, 2, 3, 4, 0, 4, 1, 3, 2, 3, 4, 2, 0, 1, 1, 3, 1, 0, 0, 0, 3, 1, 2, 1, 3, 2, 2, 3, 0, 3, 2, 3, 2, 2, 1, 3, 2, 3, 0, 2, 1, 4, 3, 4, 2, 2, 2, 3, 2, 1, 3, 2, 0, 1, 0, 4, 3, 4, 1, 3, 1, 3, 1, 2, 0, 0, 3, 3, 1, 4, 1, 4, 2, 4, 2, 4, 1, 1, 4, 4, 0, 1, 1, 0, 1, 1, 4, 2, 3, 1, 1, 2, 1, 0, 0, 4, 4, 2, 3, 3, 1, 0, 1, 0, 0, 4, 1, 4, 4, 4, 2, 1, 1, 2, 0, 2, 1, 3, 1, 0, 2, 0, 3, 2, 3, 1, 2, 3, 2, 3, 4, 2, 2, 4, 3, 2, 4, 4, 0, 3, 3, 2, 3, 1, 2, 2, 0, 2, 2, 1, 1, 3, 1, 4, 4, 3, 3, 1, 0, 1, 1, 3, 1, 1, 3, 3, 4, 0, 4, 3, 4, 4, 2, 2, 2, 2, 4, 2, 2, 0, 3, 0, 0, 1, 0, 4, 1, 3, 0, 1, 3, 1, 1, 1, 0, 3, 4, 2, 0, 4, 0, 1, 4, 2, 2, 2, 0, 0, 0, 0, 4, 0, 1, 0, 3, 2, 4, 4, 0, 0, 2, 1, 0, 2, 2, 3, 2, 2, 0, 0, 3, 2, 1, 4, 3, 4, 0, 4, 3, 3, 1, 3, 2, 0, 4, 4, 3, 2, 2, 4, 4, 2, 4, 3, 1, 2, 4, 1, 4, 1, 4, 3, 2, 0, 0, 0, 1, 3, 1, 1, 4, 2, 0, 4, 0, 2, 2, 4, 4, 2, 2, 1, 2, 0, 3, 0, 4, 1, 1, 3, 0, 4, 4, 3, 2, 2, 2, 3, 2, 0, 0, 2, 2, 1, 0, 1, 0, 4, 1, 1, 0, 0, 0, 0, 0, 3]
pubkeycol472 = [1, 1, 4, 0, 0, 3, 2, 4, 2, 1, 2, 2, 2, 1, 1, 0, 3, 0, 1, 3, 2, 4, 0, 4, 0, 3, 2, 2, 4, 0, 0, 0, 4, 3, 4, 2, 1, 3, 1, 2, 1, 4, 2, 3, 0, 0, 4, 4, 1, 4, 3, 1, 2, 0, 3, 3, 3, 4, 4, 2, 2, 2, 4, 0, 3, 4, 4, 1, 4, 3, 4, 2, 2, 4, 4, 0, 4, 0, 1, 4, 3, 1, 0, 3, 2, 1, 3, 0, 2, 3, 0, 1, 1, 3, 0, 2, 3, 4, 0, 2, 4, 1, 4, 0, 1, 2, 4, 3, 0, 1, 3, 2, 1, 3, 2, 4, 3, 2, 2, 0, 0, 3, 3, 0, 3, 0, 2, 2, 0, 3, 3, 1, 4, 0, 2, 4, 4, 2, 0, 0, 2, 3, 2, 3, 1, 3, 2, 2, 3, 2, 4, 2, 0, 0, 1, 2, 1, 3, 4, 2, 4, 1, 4, 0, 0, 3, 3, 3, 2, 3, 3, 1, 4, 4, 0, 1, 4, 1, 0, 3, 0, 2, 3, 3, 3, 0, 0, 2, 4, 0, 4, 0, 0, 2, 1, 0, 4, 1, 1, 0, 4, 2, 4, 3, 1, 2, 4, 4, 1, 1, 3, 0, 3, 0, 2, 3, 0, 1, 1, 0, 4, 2, 2, 4, 4, 1, 2, 4, 4, 0, 1, 0, 1, 2, 1, 4, 2, 3, 0, 1, 2, 4, 0, 3, 2, 2, 0, 1, 4, 0, 3, 1, 4, 0, 1, 1, 3, 1, 4, 0, 3, 2, 3, 3, 0, 1, 1, 2, 1, 4, 3, 0, 1, 0, 2, 1, 2, 4, 3, 2, 4, 1, 3, 1, 4, 0, 0, 4, 4, 4, 2, 3, 0, 3, 2, 3, 4, 0, 1, 3, 3, 2, 2, 4, 4, 4, 0, 4, 1, 3, 3, 0, 3, 2, 0, 4, 4, 0, 2, 2, 3, 0, 3, 1, 4, 4, 3, 3, 2, 3, 4, 4, 3, 4, 4, 2, 2, 4, 4, 1, 3, 1, 4, 0, 0, 0, 2, 0, 3, 1, 1, 4, 0, 4, 2, 0, 1, 0, 1, 3, 0, 4, 2, 3, 1, 1, 4, 1, 0, 4, 0, 2, 4, 0, 2, 1, 4, 2, 3, 2, 4, 0, 3, 4, 4, 3, 4, 0, 3, 0, 0, 2, 1, 0, 0, 1, 4, 0, 1, 4]
pubkeycol473 = [1, 2, 3, 1, 3, 0, 1, 0, 2, 3, 4, 0, 4, 1, 1, 0, 1, 4, 1, 4, 3, 0, 2, 0, 4, 3, 0, 3, 0, 1, 2, 0, 4, 4, 1, 1, 0, 4, 1, 0, 2, 1, 2, 0, 3, 2, 4, 2, 1, 4, 1, 3, 2, 0, 3, 2, 4, 0, 2, 4, 4, 2, 1, 3, 2, 3, 2, 3, 1, 1, 4, 0, 2, 1, 3, 3, 3, 3, 1, 3, 2, 0, 0, 1, 1, 4, 0, 2, 2, 0, 2, 2, 3, 4, 3, 0, 1, 3, 4, 2, 4, 2, 1, 2, 0, 3, 0, 3, 2, 1, 4, 4, 2, 0, 1, 1, 4, 1, 0, 1, 2, 2, 1, 3, 2, 2, 1, 1, 1, 0, 4, 3, 3, 1, 3, 3, 1, 1, 2, 0, 1, 4, 3, 3, 1, 2, 2, 3, 2, 4, 3, 0, 1, 3, 3, 0, 0, 0, 2, 4, 3, 0, 3, 4, 1, 0, 0, 3, 1, 0, 0, 0, 4, 1, 1, 2, 2, 3, 3, 1, 1, 1, 3, 1, 1, 1, 2, 4, 0, 0, 4, 1, 0, 2, 2, 2, 1, 1, 3, 3, 3, 2, 3, 2, 1, 3, 4, 3, 3, 1, 4, 1, 2, 1, 4, 2, 2, 1, 2, 3, 3, 1, 2, 2, 4, 1, 3, 2, 3, 2, 4, 2, 2, 0, 2, 1, 3, 1, 2, 4, 0, 1, 1, 4, 0, 0, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 4, 1, 0, 3, 1, 1, 3, 2, 4, 1, 4, 1, 4, 4, 1, 2, 3, 2, 2, 0, 4, 4, 1, 2, 3, 1, 4, 4, 0, 4, 1, 3, 2, 0, 3, 0, 2, 2, 1, 3, 1, 3, 2, 3, 2, 1, 2, 0, 3, 3, 0, 1, 2, 4, 3, 2, 4, 4, 1, 2, 0, 3, 1, 3, 1, 4, 0, 1, 1, 1, 3, 3, 1, 4, 4, 2, 1, 1, 4, 1, 0, 3, 4, 3, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 4, 1, 4, 2, 1, 4, 4, 3, 1, 4, 3, 3, 3, 1, 0, 0, 0, 4, 2, 3, 4, 3, 0, 0, 2, 2, 1, 2, 4, 4, 2, 0, 4, 1, 1, 0, 2, 1, 1, 2, 3, 4, 1, 3, 1, 2, 1, 4, 0, 3]
pubkeycol474 = [4, 4, 2, 3, 2, 3, 1, 1, 0, 4, 4, 1, 0, 4, 3, 1, 4, 1, 0, 3, 3, 1, 4, 3, 3, 1, 1, 1, 3, 0, 3, 0, 1, 2, 0, 4, 1, 0, 1, 4, 2, 2, 0, 0, 1, 2, 2, 3, 1, 4, 3, 4, 2, 3, 3, 3, 4, 4, 4, 1, 0, 2, 0, 3, 4, 2, 2, 4, 3, 0, 1, 3, 3, 1, 3, 1, 4, 3, 4, 0, 4, 0, 4, 2, 1, 4, 4, 0, 2, 2, 1, 0, 4, 0, 2, 0, 3, 0, 1, 3, 0, 1, 3, 0, 3, 2, 1, 4, 4, 1, 3, 1, 4, 3, 0, 2, 0, 1, 3, 3, 3, 3, 4, 2, 1, 0, 0, 2, 3, 3, 0, 2, 3, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 3, 0, 2, 1, 3, 4, 4, 1, 4, 0, 0, 1, 1, 4, 1, 0, 2, 1, 3, 2, 3, 0, 3, 0, 3, 3, 2, 3, 2, 0, 4, 1, 0, 2, 0, 1, 2, 1, 3, 4, 3, 0, 4, 0, 3, 4, 2, 4, 1, 2, 3, 4, 4, 0, 3, 3, 0, 1, 0, 1, 3, 2, 0, 2, 3, 4, 3, 3, 3, 4, 3, 4, 2, 1, 2, 4, 4, 0, 1, 0, 1, 2, 0, 2, 3, 1, 3, 3, 4, 1, 1, 4, 2, 3, 0, 0, 4, 0, 4, 1, 2, 1, 1, 2, 0, 0, 0, 3, 0, 4, 2, 3, 4, 4, 3, 0, 3, 0, 3, 1, 1, 2, 2, 2, 4, 3, 2, 0, 4, 4, 2, 1, 3, 2, 1, 4, 1, 1, 2, 2, 3, 3, 1, 2, 0, 1, 3, 2, 4, 2, 0, 4, 3, 1, 3, 4, 3, 0, 3, 0, 0, 3, 0, 1, 4, 0, 2, 3, 0, 3, 4, 2, 3, 0, 1, 4, 1, 2, 0, 2, 2, 4, 0, 0, 3, 4, 3, 4, 2, 0, 4, 0, 3, 0, 1, 4, 2, 3, 1, 4, 4, 1, 2, 3, 1, 0, 2, 4, 2, 1, 2, 0, 2, 2, 4, 4, 0, 3, 4, 2, 3, 3, 3, 1, 4, 3, 0, 2, 4, 3, 3, 3, 1, 4, 2, 3, 3, 4, 4, 3, 3, 4, 2, 4, 0, 3, 1, 3, 3, 2, 1]
pubkeycol475 = [0, 2, 4, 2, 0, 3, 4, 2, 2, 2, 4, 2, 3, 1, 2, 2, 4, 0, 1, 0, 2, 0, 3, 3, 0, 3, 1, 4, 0, 2, 4, 4, 1, 3, 3, 2, 3, 1, 4, 4, 3, 2, 3, 3, 2, 1, 3, 4, 0, 1, 0, 0, 4, 2, 0, 1, 0, 3, 0, 0, 3, 2, 0, 4, 1, 4, 3, 0, 0, 2, 0, 3, 3, 3, 2, 3, 4, 3, 0, 1, 3, 4, 0, 1, 3, 2, 1, 1, 0, 0, 0, 2, 2, 3, 0, 0, 4, 0, 4, 0, 1, 2, 3, 1, 0, 3, 2, 3, 1, 3, 2, 0, 0, 1, 4, 1, 3, 4, 1, 0, 2, 0, 1, 3, 3, 4, 4, 3, 0, 4, 3, 0, 2, 2, 4, 1, 4, 3, 4, 0, 1, 3, 3, 1, 1, 3, 4, 0, 0, 3, 3, 2, 3, 0, 0, 2, 2, 2, 2, 3, 4, 2, 0, 4, 4, 0, 1, 2, 4, 2, 4, 3, 1, 1, 0, 1, 2, 1, 2, 1, 3, 4, 0, 2, 4, 0, 2, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 2, 0, 4, 2, 4, 0, 0, 2, 1, 4, 4, 4, 3, 0, 2, 0, 3, 4, 4, 3, 3, 2, 0, 1, 3, 4, 1, 4, 2, 3, 2, 1, 1, 4, 2, 4, 4, 1, 2, 1, 3, 3, 1, 3, 2, 1, 2, 3, 0, 4, 4, 4, 4, 3, 4, 3, 1, 4, 0, 1, 1, 1, 0, 4, 3, 2, 0, 0, 3, 0, 3, 3, 1, 3, 3, 0, 2, 1, 0, 2, 3, 1, 1, 2, 4, 0, 1, 4, 1, 0, 1, 2, 0, 3, 1, 3, 4, 0, 0, 0, 1, 3, 3, 1, 4, 4, 2, 4, 3, 2, 1, 0, 1, 3, 0, 1, 0, 2, 4, 3, 2, 0, 0, 0, 2, 4, 0, 2, 3, 1, 1, 2, 1, 1, 3, 0, 2, 2, 4, 4, 2, 3, 0, 1, 1, 4, 2, 0, 2, 3, 3, 1, 1, 2, 1, 2, 3, 1, 4, 2, 4, 4, 1, 1, 1, 2, 1, 3, 4, 3, 3, 1, 1, 4, 0, 2, 4, 4, 0, 2, 3, 1, 3, 0, 4, 1, 3, 0, 4, 1, 0, 0, 1, 1, 4, 1]
pubkeycol476 = [4, 0, 0, 2, 0, 1, 4, 4, 3, 2, 2, 2, 2, 0, 0, 4, 1, 4, 2, 3, 3, 0, 4, 2, 1, 2, 4, 2, 0, 3, 4, 3, 1, 2, 0, 3, 2, 3, 1, 3, 4, 4, 3, 4, 3, 1, 1, 0, 3, 0, 0, 2, 1, 0, 2, 0, 4, 0, 4, 1, 0, 2, 4, 3, 1, 1, 3, 2, 2, 1, 0, 4, 1, 2, 1, 2, 2, 3, 1, 0, 0, 3, 3, 0, 4, 2, 0, 0, 3, 2, 1, 3, 0, 3, 1, 0, 0, 3, 1, 1, 0, 3, 1, 3, 3, 0, 2, 0, 1, 3, 3, 0, 4, 3, 0, 4, 1, 3, 0, 0, 1, 2, 1, 2, 2, 2, 4, 2, 3, 0, 1, 0, 4, 2, 3, 0, 3, 3, 4, 4, 1, 1, 4, 3, 0, 4, 3, 1, 3, 2, 4, 3, 2, 2, 3, 0, 1, 1, 2, 0, 4, 4, 3, 1, 4, 4, 3, 2, 3, 2, 0, 2, 0, 3, 2, 2, 0, 4, 0, 2, 3, 4, 0, 1, 3, 1, 4, 3, 2, 4, 0, 4, 1, 1, 3, 1, 1, 3, 3, 3, 4, 4, 2, 2, 3, 2, 4, 2, 0, 3, 4, 1, 3, 0, 4, 1, 3, 1, 2, 3, 4, 0, 2, 1, 0, 2, 0, 3, 1, 2, 0, 1, 1, 1, 3, 2, 4, 4, 2, 2, 1, 0, 2, 3, 0, 4, 4, 4, 4, 3, 4, 0, 3, 0, 0, 0, 4, 0, 2, 1, 0, 4, 2, 1, 4, 2, 2, 0, 2, 2, 4, 0, 4, 0, 0, 0, 4, 2, 4, 3, 0, 3, 0, 2, 1, 4, 3, 0, 2, 4, 1, 2, 3, 2, 1, 0, 3, 3, 4, 4, 1, 1, 1, 2, 0, 3, 1, 4, 4, 3, 4, 3, 3, 0, 3, 0, 0, 1, 4, 1, 3, 4, 1, 4, 1, 1, 0, 3, 3, 1, 0, 4, 4, 2, 4, 2, 2, 4, 4, 3, 0, 0, 4, 3, 0, 4, 2, 3, 4, 4, 1, 2, 0, 0, 3, 1, 0, 1, 0, 3, 2, 1, 3, 4, 1, 2, 3, 0, 0, 1, 2, 3, 4, 2, 4, 3, 3, 0, 2, 2, 1, 4, 4, 2, 4, 3, 1, 4, 0, 3, 2, 2, 0, 3, 2, 0, 0, 3, 0, 1]
pubkeycol477 = [0, 2, 3, 1, 0, 1, 4, 4, 1, 3, 4, 1, 4, 0, 3, 1, 2, 1, 4, 4, 2, 4, 3, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 4, 1, 1, 0, 3, 3, 3, 0, 2, 4, 3, 3, 1, 2, 0, 3, 2, 1, 2, 2, 2, 2, 1, 4, 4, 2, 4, 2, 0, 2, 0, 3, 4, 4, 0, 1, 4, 1, 4, 4, 4, 2, 3, 4, 2, 4, 2, 0, 0, 1, 1, 1, 1, 4, 0, 3, 1, 0, 3, 2, 2, 4, 4, 2, 0, 3, 2, 4, 3, 2, 0, 4, 1, 1, 3, 1, 2, 0, 2, 2, 2, 0, 3, 3, 0, 3, 3, 0, 1, 2, 2, 4, 0, 3, 3, 3, 1, 4, 2, 3, 4, 1, 2, 3, 3, 2, 0, 3, 0, 3, 0, 3, 4, 4, 0, 2, 2, 2, 4, 0, 2, 3, 4, 2, 4, 2, 2, 0, 0, 3, 2, 1, 2, 1, 4, 4, 4, 4, 2, 4, 1, 2, 3, 0, 2, 3, 4, 2, 1, 1, 1, 0, 1, 4, 0, 2, 3, 3, 2, 1, 2, 3, 0, 0, 3, 4, 3, 4, 2, 1, 0, 3, 1, 0, 2, 0, 0, 4, 3, 1, 3, 0, 3, 0, 4, 0, 3, 2, 1, 2, 0, 2, 1, 4, 3, 2, 0, 0, 1, 0, 0, 4, 1, 4, 0, 0, 1, 0, 4, 1, 1, 0, 1, 0, 3, 2, 0, 3, 2, 0, 4, 2, 2, 1, 4, 4, 3, 2, 1, 1, 2, 2, 2, 4, 2, 2, 1, 4, 1, 2, 0, 0, 4, 3, 1, 3, 1, 3, 2, 3, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 3, 2, 0, 4, 4, 4, 0, 3, 3, 4, 3, 1, 0, 4, 1, 4, 2, 0, 2, 1, 0, 4, 2, 0, 3, 4, 0, 4, 0, 0, 4, 0, 0, 1, 0, 0, 0, 2, 3, 0, 0, 2, 2, 2, 0, 4, 1, 4, 2, 3, 4, 1, 4, 0, 2, 1, 1, 3, 2, 0, 0, 3, 2, 4, 1, 1, 1, 1, 3, 0, 4, 4, 3, 2, 0, 0, 1, 1, 3, 0, 3, 3, 2, 4, 0, 3, 2, 2, 4, 1, 2, 0, 2, 4, 3, 2, 3, 0, 2, 0, 3, 2, 0, 1, 0]
pubkeycol478 = [4, 3, 4, 2, 0, 0, 3, 2, 1, 3, 1, 1, 0, 3, 3, 3, 2, 4, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 4, 0, 4, 3, 3, 2, 3, 0, 0, 1, 0, 1, 1, 3, 1, 1, 1, 0, 1, 1, 3, 4, 0, 2, 2, 4, 3, 4, 3, 1, 0, 0, 4, 2, 0, 0, 1, 4, 0, 4, 1, 3, 2, 0, 1, 3, 3, 1, 0, 4, 1, 4, 2, 4, 4, 0, 3, 0, 1, 3, 4, 3, 3, 4, 0, 4, 4, 2, 0, 3, 2, 1, 2, 3, 0, 3, 2, 3, 1, 3, 3, 2, 0, 2, 4, 0, 3, 1, 0, 4, 0, 2, 2, 2, 4, 2, 1, 4, 3, 1, 1, 1, 2, 3, 2, 1, 3, 1, 0, 0, 4, 3, 4, 2, 3, 1, 1, 1, 1, 3, 0, 4, 1, 4, 1, 0, 4, 1, 4, 3, 3, 1, 4, 3, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 3, 2, 0, 4, 0, 2, 2, 2, 3, 4, 0, 0, 1, 4, 2, 0, 4, 2, 4, 1, 2, 0, 0, 4, 1, 0, 0, 4, 4, 4, 1, 0, 4, 4, 2, 0, 4, 4, 0, 3, 3, 0, 2, 3, 1, 4, 2, 1, 1, 1, 0, 1, 3, 3, 3, 3, 4, 0, 0, 2, 3, 0, 1, 4, 1, 3, 2, 4, 1, 1, 3, 2, 3, 1, 1, 1, 3, 4, 1, 0, 3, 2, 4, 3, 3, 4, 1, 4, 0, 1, 2, 0, 0, 4, 1, 1, 1, 0, 0, 1, 0, 4, 1, 3, 2, 0, 3, 0, 1, 3, 1, 1, 0, 4, 1, 0, 2, 1, 0, 1, 4, 4, 0, 0, 4, 0, 2, 1, 3, 2, 0, 0, 4, 4, 4, 2, 1, 2, 2, 3, 2, 0, 4, 1, 4, 4, 3, 3, 2, 1, 4, 2, 2, 1, 1, 2, 3, 4, 0, 0, 0, 4, 1, 0, 3, 3, 2, 2, 4, 4, 1, 4, 1, 3, 3, 1, 3, 1, 4, 0, 4, 2, 3, 3, 0, 1, 3, 1, 1, 0, 3, 0, 4, 4, 0, 4, 2, 4, 0, 3, 4, 3, 2, 1, 4, 3, 4, 4, 0, 2, 3, 2, 0, 4, 4, 2, 0, 4, 4, 1, 2, 0, 4]
pubkeycol479 = [3, 2, 2, 2, 2, 3, 3, 4, 1, 2, 2, 2, 3, 4, 3, 4, 4, 0, 1, 3, 2, 0, 4, 4, 1, 1, 4, 3, 0, 2, 4, 4, 0, 3, 0, 2, 1, 4, 2, 3, 3, 0, 2, 1, 0, 3, 1, 2, 4, 3, 3, 2, 0, 3, 2, 3, 3, 4, 1, 0, 4, 4, 4, 4, 4, 4, 1, 3, 1, 2, 3, 2, 4, 4, 3, 2, 4, 4, 1, 1, 0, 0, 2, 0, 3, 3, 4, 0, 2, 1, 2, 4, 2, 1, 2, 4, 4, 2, 3, 1, 4, 1, 0, 4, 2, 4, 0, 2, 3, 3, 4, 4, 2, 0, 0, 4, 3, 2, 1, 3, 3, 4, 4, 4, 4, 0, 3, 1, 4, 2, 1, 3, 1, 1, 3, 1, 1, 2, 3, 4, 0, 4, 2, 2, 3, 3, 0, 1, 1, 3, 1, 2, 4, 2, 1, 3, 4, 1, 2, 2, 4, 1, 2, 4, 4, 3, 2, 1, 2, 3, 0, 2, 4, 1, 0, 1, 1, 1, 0, 1, 3, 1, 1, 4, 4, 4, 4, 2, 4, 2, 1, 3, 0, 2, 0, 1, 2, 3, 1, 1, 1, 3, 0, 1, 4, 3, 4, 1, 1, 3, 1, 1, 3, 0, 1, 0, 0, 0, 0, 4, 0, 3, 4, 2, 3, 0, 1, 0, 1, 1, 4, 4, 3, 1, 3, 3, 0, 1, 4, 2, 1, 3, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 4, 0, 3, 1, 0, 2, 2, 1, 0, 4, 4, 3, 3, 4, 1, 0, 4, 1, 2, 3, 2, 4, 0, 0, 4, 2, 3, 2, 0, 2, 0, 4, 0, 4, 3, 0, 3, 4, 4, 2, 4, 2, 4, 4, 2, 0, 1, 3, 3, 4, 1, 4, 1, 3, 0, 2, 4, 2, 1, 0, 2, 2, 0, 4, 2, 3, 4, 4, 2, 1, 0, 0, 4, 0, 1, 1, 2, 1, 4, 1, 0, 2, 2, 3, 3, 1, 4, 3, 3, 4, 2, 2, 2, 0, 0, 4, 0, 4, 3, 1, 2, 4, 4, 4, 2, 2, 1, 3, 0, 0, 1, 3, 0, 0, 1, 1, 0, 3, 0, 1, 0, 0, 1, 0, 2, 4, 4, 1, 0, 2, 2, 0, 0, 2, 3, 0, 2, 2, 2, 0, 4, 3, 0, 2]
pubkeycol480 = [1, 4, 0, 1, 0, 2, 4, 2, 2, 1, 3, 2, 2, 0, 1, 1, 0, 2, 2, 2, 3, 0, 1, 3, 1, 2, 3, 1, 2, 0, 0, 2, 2, 1, 0, 4, 0, 3, 2, 3, 3, 1, 4, 4, 3, 3, 2, 1, 4, 1, 2, 1, 0, 0, 1, 0, 1, 4, 0, 0, 2, 0, 1, 3, 3, 3, 4, 2, 4, 1, 0, 3, 4, 3, 3, 0, 3, 1, 2, 2, 0, 2, 3, 3, 3, 2, 0, 3, 2, 2, 2, 1, 0, 3, 3, 3, 3, 3, 1, 0, 1, 4, 1, 0, 2, 1, 4, 3, 0, 0, 1, 4, 2, 0, 0, 4, 4, 1, 0, 2, 1, 2, 4, 4, 0, 2, 4, 4, 0, 3, 3, 0, 0, 4, 2, 0, 3, 1, 4, 4, 2, 2, 0, 2, 0, 2, 0, 3, 1, 2, 4, 2, 1, 2, 1, 1, 1, 4, 2, 3, 1, 1, 1, 0, 0, 2, 3, 0, 2, 2, 3, 4, 2, 3, 2, 3, 1, 0, 3, 0, 0, 0, 4, 3, 1, 4, 3, 4, 3, 2, 3, 1, 2, 4, 0, 3, 2, 3, 4, 2, 4, 1, 0, 1, 0, 0, 0, 1, 0, 1, 4, 4, 4, 2, 3, 0, 3, 4, 0, 2, 2, 1, 3, 1, 0, 4, 2, 2, 2, 4, 0, 2, 1, 2, 0, 4, 0, 2, 1, 0, 2, 3, 3, 2, 2, 3, 2, 4, 2, 2, 3, 0, 1, 0, 0, 0, 4, 3, 2, 4, 2, 4, 1, 0, 3, 3, 2, 3, 3, 1, 4, 2, 1, 4, 0, 0, 1, 0, 3, 4, 1, 0, 0, 1, 3, 1, 2, 1, 2, 1, 1, 2, 2, 4, 4, 0, 4, 3, 3, 0, 3, 3, 2, 2, 4, 4, 3, 3, 3, 1, 0, 4, 2, 0, 2, 3, 3, 0, 3, 0, 2, 1, 1, 4, 0, 3, 0, 1, 3, 3, 1, 2, 4, 3, 0, 3, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 3, 1, 4, 0, 2, 1, 3, 3, 4, 0, 1, 1, 2, 0, 2, 3, 3, 0, 3, 1, 1, 3, 4, 2, 3, 2, 0, 0, 3, 2, 4, 1, 2, 2, 3, 2, 4, 2, 2, 0, 0, 1, 4, 1, 4, 0, 0, 1, 4, 2, 3, 4]
pubkeycol481 = [3, 4, 3, 3, 3, 0, 2, 1, 2, 0, 2, 1, 3, 2, 0, 3, 3, 3, 4, 4, 4, 1, 0, 3, 4, 3, 1, 1, 3, 3, 1, 1, 3, 1, 3, 2, 0, 0, 0, 1, 3, 0, 1, 3, 4, 1, 2, 0, 4, 1, 0, 4, 0, 1, 3, 1, 4, 1, 0, 2, 0, 4, 3, 0, 0, 0, 3, 0, 0, 2, 2, 3, 2, 1, 1, 2, 3, 4, 3, 0, 4, 0, 1, 3, 3, 3, 3, 2, 1, 3, 0, 2, 3, 0, 1, 0, 4, 4, 3, 2, 2, 2, 0, 2, 4, 3, 1, 1, 2, 3, 0, 1, 1, 1, 0, 3, 4, 3, 4, 2, 4, 1, 2, 4, 3, 4, 3, 4, 2, 2, 2, 4, 1, 3, 3, 1, 1, 3, 2, 2, 2, 4, 2, 4, 3, 2, 4, 1, 4, 0, 1, 3, 0, 2, 3, 1, 1, 3, 3, 4, 2, 1, 4, 1, 2, 2, 3, 1, 4, 2, 1, 0, 0, 4, 4, 2, 4, 2, 1, 2, 3, 4, 0, 4, 2, 3, 0, 2, 0, 4, 3, 2, 2, 4, 1, 1, 1, 0, 2, 4, 1, 3, 0, 2, 4, 3, 0, 3, 1, 3, 1, 2, 3, 3, 0, 3, 3, 3, 2, 0, 2, 0, 0, 2, 0, 2, 0, 3, 0, 1, 0, 3, 3, 2, 0, 4, 4, 1, 0, 2, 0, 4, 4, 0, 1, 3, 4, 3, 4, 3, 2, 2, 4, 4, 0, 3, 4, 3, 1, 1, 0, 2, 4, 0, 0, 1, 2, 0, 0, 0, 0, 4, 1, 1, 4, 1, 4, 1, 0, 4, 4, 4, 0, 1, 2, 4, 2, 1, 4, 0, 3, 1, 3, 4, 1, 4, 3, 1, 2, 4, 2, 0, 0, 0, 0, 1, 4, 0, 3, 4, 1, 2, 0, 4, 1, 0, 3, 2, 3, 1, 4, 4, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 4, 3, 0, 1, 3, 4, 3, 1, 1, 1, 3, 3, 3, 1, 4, 2, 1, 4, 2, 4, 0, 4, 1, 4, 3, 2, 1, 3, 4, 0, 0, 0, 1, 4, 0, 0, 0, 4, 0, 3, 1, 2, 2, 2, 0, 0, 3, 4, 2, 1, 4, 4, 4, 4, 2, 2, 2, 4, 0, 4, 2, 1, 0, 3, 1, 4, 4]
pubkeycol482 = [2, 3, 3, 2, 3, 2, 2, 4, 2, 1, 4, 1, 2, 4, 3, 4, 3, 1, 0, 0, 3, 3, 3, 0, 3, 4, 1, 2, 0, 0, 0, 3, 4, 3, 3, 1, 0, 2, 3, 2, 4, 1, 0, 2, 2, 3, 1, 3, 0, 2, 0, 0, 0, 2, 3, 0, 0, 4, 2, 3, 0, 0, 3, 4, 0, 1, 3, 0, 0, 1, 3, 4, 0, 0, 4, 1, 3, 0, 1, 4, 2, 0, 2, 1, 4, 0, 2, 0, 3, 3, 0, 4, 1, 0, 4, 4, 0, 4, 4, 0, 1, 4, 4, 2, 2, 4, 1, 1, 3, 0, 0, 1, 3, 1, 0, 4, 4, 3, 3, 1, 1, 4, 3, 4, 3, 4, 3, 0, 2, 0, 4, 1, 1, 2, 3, 2, 2, 0, 1, 0, 2, 3, 3, 1, 0, 3, 2, 3, 3, 1, 1, 0, 2, 3, 1, 0, 2, 4, 0, 1, 0, 4, 4, 2, 0, 4, 1, 0, 0, 0, 0, 4, 4, 3, 0, 3, 0, 3, 3, 0, 1, 1, 4, 4, 3, 1, 3, 1, 3, 2, 3, 2, 4, 0, 1, 2, 3, 3, 3, 0, 4, 4, 2, 3, 0, 3, 2, 0, 0, 1, 1, 1, 3, 0, 2, 3, 0, 4, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 4, 0, 1, 0, 3, 1, 0, 3, 1, 3, 2, 2, 3, 3, 4, 3, 1, 1, 0, 1, 0, 2, 2, 1, 3, 1, 3, 4, 0, 4, 4, 3, 1, 1, 3, 1, 2, 0, 1, 2, 4, 1, 2, 0, 0, 1, 3, 0, 0, 4, 2, 3, 1, 0, 3, 2, 4, 4, 4, 0, 3, 4, 0, 4, 0, 3, 0, 1, 4, 2, 4, 1, 0, 3, 0, 1, 3, 1, 3, 2, 3, 1, 0, 1, 4, 0, 4, 2, 2, 1, 1, 0, 2, 4, 3, 0, 1, 3, 0, 2, 0, 0, 4, 0, 4, 2, 4, 4, 0, 2, 0, 3, 0, 2, 2, 3, 4, 0, 3, 4, 4, 2, 1, 1, 3, 4, 4, 1, 2, 1, 0, 4, 0, 3, 1, 4, 3, 1, 0, 3, 4, 0, 3, 0, 3, 2, 3, 1, 0, 0, 3, 4, 3, 4, 0, 3, 3, 4, 4, 2, 3, 0, 1, 2, 1, 4, 4, 2, 2, 1, 4, 3]
pubkeycol483 = [1, 0, 1, 0, 0, 4, 1, 0, 1, 0, 0, 3, 2, 0, 1, 4, 1, 3, 3, 4, 4, 4, 0, 1, 4, 0, 4, 1, 4, 1, 2, 2, 4, 1, 4, 2, 1, 2, 0, 4, 3, 0, 2, 4, 0, 2, 4, 2, 0, 1, 2, 4, 4, 3, 4, 3, 3, 1, 4, 3, 2, 0, 0, 2, 3, 4, 1, 4, 3, 4, 2, 0, 2, 0, 2, 3, 3, 3, 0, 3, 1, 3, 2, 1, 3, 3, 4, 4, 1, 3, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 4, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 3, 1, 3, 3, 3, 0, 4, 1, 3, 4, 4, 2, 2, 2, 2, 4, 2, 4, 1, 2, 2, 4, 1, 4, 1, 0, 4, 0, 3, 3, 1, 4, 3, 0, 1, 1, 1, 3, 3, 1, 0, 3, 3, 4, 3, 0, 1, 2, 2, 4, 2, 2, 2, 1, 2, 2, 4, 0, 2, 1, 4, 1, 1, 3, 2, 4, 0, 2, 3, 2, 4, 1, 3, 3, 2, 3, 1, 1, 4, 2, 2, 4, 3, 3, 4, 4, 1, 2, 3, 2, 4, 3, 0, 1, 3, 4, 2, 0, 1, 0, 4, 2, 4, 3, 3, 2, 0, 4, 3, 3, 0, 0, 4, 1, 4, 0, 1, 3, 1, 4, 2, 1, 3, 4, 2, 4, 0, 3, 4, 4, 4, 2, 2, 0, 3, 4, 4, 2, 3, 3, 0, 2, 1, 4, 3, 0, 0, 4, 4, 2, 1, 3, 0, 1, 3, 3, 0, 1, 3, 3, 4, 3, 0, 3, 3, 2, 1, 1, 3, 1, 4, 2, 2, 1, 0, 1, 3, 4, 0, 2, 3, 4, 3, 3, 0, 3, 1, 2, 1, 0, 0, 3, 4, 1, 0, 0, 0, 3, 4, 2, 1, 0, 2, 1, 4, 4, 3, 3, 1, 0, 0, 0, 3, 2, 4, 0, 1, 1, 0, 4, 2, 2, 2, 0, 1, 0, 1, 4, 4, 0, 1, 1, 4, 3, 2, 0, 1, 0, 0, 0, 4, 0, 3, 3, 2, 4, 0, 3, 1, 2, 2, 0, 4, 0, 1, 1, 2, 3, 1, 1, 3, 4, 1, 1, 2, 0, 1, 4, 1, 0, 2, 0, 4, 3, 1, 2, 3, 4, 4, 4, 2, 3, 0, 1, 2, 1, 1, 1, 1]
pubkeycol484 = [1, 3, 1, 2, 1, 0, 0, 2, 4, 3, 4, 0, 3, 1, 0, 0, 4, 4, 1, 3, 0, 1, 0, 0, 1, 4, 4, 0, 0, 3, 2, 4, 1, 1, 3, 3, 0, 3, 4, 3, 4, 3, 1, 3, 1, 1, 0, 2, 4, 2, 0, 3, 2, 4, 1, 3, 2, 0, 4, 2, 3, 4, 3, 2, 3, 4, 0, 0, 4, 3, 0, 1, 3, 3, 4, 2, 3, 3, 2, 0, 2, 3, 1, 2, 2, 1, 4, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 1, 1, 3, 2, 3, 1, 2, 2, 1, 3, 4, 4, 2, 1, 4, 3, 0, 1, 2, 1, 1, 0, 0, 3, 2, 1, 4, 0, 4, 1, 1, 2, 3, 0, 2, 2, 4, 1, 4, 1, 0, 2, 3, 1, 2, 4, 1, 1, 1, 0, 2, 0, 2, 4, 2, 3, 3, 1, 4, 1, 0, 4, 2, 0, 3, 1, 1, 2, 3, 4, 1, 4, 4, 4, 3, 2, 2, 4, 1, 1, 2, 0, 4, 0, 4, 4, 2, 3, 0, 2, 1, 4, 2, 1, 2, 1, 0, 4, 1, 4, 0, 4, 1, 4, 2, 3, 0, 2, 2, 4, 2, 0, 2, 3, 1, 3, 2, 0, 0, 3, 3, 1, 4, 2, 0, 3, 4, 2, 0, 0, 2, 0, 4, 0, 4, 4, 4, 1, 3, 3, 1, 3, 2, 0, 0, 1, 3, 1, 4, 2, 3, 1, 4, 3, 0, 0, 0, 2, 3, 2, 4, 1, 3, 2, 4, 2, 0, 3, 3, 3, 2, 2, 0, 2, 0, 0, 0, 1, 3, 0, 0, 1, 1, 4, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 3, 4, 2, 1, 1, 2, 4, 2, 3, 4, 2, 2, 0, 1, 2, 4, 2, 2, 4, 3, 4, 4, 4, 4, 3, 0, 3, 2, 1, 1, 3, 1, 1, 4, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 4, 2, 0, 1, 4, 3, 2, 4, 3, 2, 4, 1, 4, 3, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 4, 0, 3, 1, 4, 3, 4, 1, 1, 3, 1, 4, 1, 3, 0, 3, 4, 3, 0, 1, 3, 2, 4, 3, 1, 2, 4, 3, 4, 2, 4, 2, 3, 3, 4]
pubkeycol485 = [2, 0, 2, 0, 2, 1, 1, 4, 3, 2, 3, 1, 0, 0, 3, 0, 2, 2, 0, 1, 1, 1, 1, 4, 3, 0, 4, 3, 1, 1, 0, 2, 3, 1, 1, 1, 0, 1, 1, 1, 0, 0, 4, 0, 3, 4, 3, 0, 0, 0, 4, 1, 4, 2, 0, 3, 0, 3, 4, 0, 4, 4, 0, 4, 1, 1, 3, 0, 1, 0, 0, 1, 3, 1, 1, 2, 3, 4, 3, 3, 3, 1, 2, 2, 0, 3, 4, 3, 0, 4, 0, 3, 4, 3, 2, 0, 1, 3, 4, 2, 2, 2, 1, 1, 4, 3, 1, 2, 4, 3, 2, 0, 0, 1, 0, 1, 2, 3, 1, 4, 2, 0, 0, 3, 0, 3, 4, 4, 2, 3, 4, 0, 3, 4, 0, 1, 2, 1, 2, 1, 1, 4, 0, 1, 0, 2, 1, 1, 2, 3, 2, 0, 2, 1, 2, 0, 4, 1, 4, 1, 4, 3, 3, 4, 2, 2, 1, 1, 0, 0, 3, 3, 3, 2, 4, 0, 2, 1, 4, 0, 0, 3, 3, 1, 0, 4, 0, 4, 4, 3, 1, 1, 1, 1, 3, 2, 0, 1, 1, 3, 0, 1, 0, 3, 2, 2, 2, 1, 3, 0, 2, 0, 4, 0, 3, 2, 0, 1, 1, 1, 2, 0, 4, 0, 0, 4, 1, 4, 0, 3, 1, 0, 3, 0, 2, 4, 4, 0, 4, 1, 0, 4, 3, 3, 1, 2, 3, 3, 1, 4, 0, 0, 4, 0, 4, 3, 3, 2, 1, 3, 3, 1, 1, 4, 4, 1, 4, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 4, 3, 2, 3, 0, 4, 4, 1, 1, 1, 1, 2, 3, 0, 0, 3, 4, 4, 3, 3, 3, 2, 0, 3, 4, 1, 4, 4, 1, 3, 4, 4, 4, 4, 3, 3, 2, 1, 4, 4, 3, 4, 1, 3, 0, 4, 1, 4, 1, 0, 4, 2, 4, 3, 1, 1, 0, 0, 2, 2, 3, 1, 4, 2, 1, 3, 3, 4, 4, 4, 4, 4, 0, 1, 0, 4, 3, 2, 0, 1, 4, 2, 1, 1, 2, 2, 0, 1, 2, 4, 0, 4, 1, 1, 0, 0, 3, 3, 2, 4, 1, 1, 1, 1, 0, 0, 3, 3, 4, 4, 2, 1, 1, 2, 4, 3, 2, 2, 0, 1, 4, 3, 1]
pubkeycol486 = [4, 4, 3, 4, 3, 1, 0, 3, 2, 2, 3, 2, 1, 4, 2, 2, 3, 3, 2, 1, 2, 2, 4, 1, 2, 1, 1, 1, 1, 4, 2, 1, 0, 0, 3, 1, 3, 3, 0, 3, 1, 0, 3, 1, 2, 1, 1, 1, 0, 0, 2, 3, 3, 3, 1, 0, 1, 3, 4, 0, 3, 0, 4, 1, 0, 2, 2, 4, 0, 1, 0, 1, 0, 1, 3, 2, 2, 4, 4, 3, 0, 3, 0, 0, 1, 3, 2, 3, 3, 0, 2, 4, 3, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 0, 0, 2, 4, 0, 2, 2, 1, 1, 0, 2, 2, 4, 3, 0, 2, 2, 3, 1, 4, 0, 1, 2, 3, 3, 3, 4, 0, 2, 2, 0, 2, 0, 0, 4, 2, 0, 1, 2, 1, 3, 0, 0, 1, 3, 4, 1, 3, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 3, 1, 2, 3, 2, 4, 4, 1, 0, 3, 4, 1, 0, 3, 0, 2, 2, 1, 4, 4, 2, 2, 4, 3, 4, 2, 1, 2, 1, 3, 4, 0, 3, 2, 4, 1, 0, 2, 3, 0, 2, 1, 4, 4, 2, 2, 0, 2, 1, 4, 1, 0, 4, 3, 4, 3, 4, 2, 2, 3, 0, 4, 1, 3, 2, 1, 2, 2, 1, 1, 0, 2, 3, 1, 2, 4, 2, 0, 1, 4, 0, 4, 2, 3, 4, 1, 0, 4, 0, 3, 4, 4, 3, 0, 4, 3, 3, 2, 0, 0, 3, 0, 2, 4, 1, 3, 4, 2, 2, 1, 2, 1, 1, 4, 1, 3, 4, 1, 1, 0, 1, 4, 4, 3, 0, 4, 3, 2, 3, 2, 4, 4, 3, 4, 4, 1, 0, 1, 0, 0, 4, 2, 4, 3, 4, 4, 2, 0, 1, 4, 0, 4, 3, 2, 2, 3, 0, 1, 3, 2, 0, 4, 0, 1, 3, 3, 2, 4, 0, 0, 2, 0, 4, 1, 3, 2, 2, 3, 4, 2, 1, 1, 2, 4, 3, 3, 1, 4, 2, 0, 4, 2, 1, 0, 0, 4, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 0, 4, 4, 0, 2, 3, 4, 2, 0, 2, 0, 0, 3, 1, 2, 4, 4, 3, 4, 4, 0, 1, 1, 3, 4, 0, 2, 2, 4, 1, 3, 3, 3]
pubkeycol487 = [0, 2, 0, 3, 3, 0, 0, 3, 0, 0, 4, 4, 4, 4, 4, 3, 4, 1, 1, 2, 3, 0, 0, 1, 4, 2, 2, 0, 4, 0, 3, 0, 1, 4, 3, 0, 1, 1, 4, 2, 2, 2, 4, 3, 0, 3, 3, 2, 0, 3, 1, 1, 2, 3, 1, 0, 1, 2, 0, 0, 0, 2, 4, 0, 0, 0, 2, 0, 3, 3, 3, 3, 1, 1, 3, 3, 0, 2, 2, 3, 3, 3, 2, 0, 2, 3, 3, 2, 1, 3, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 4, 2, 1, 2, 2, 4, 1, 1, 0, 1, 1, 2, 1, 3, 0, 3, 4, 0, 1, 4, 4, 1, 0, 0, 3, 2, 0, 0, 2, 0, 1, 3, 4, 0, 2, 3, 0, 4, 2, 2, 1, 1, 3, 0, 4, 4, 4, 2, 3, 0, 2, 3, 2, 0, 4, 4, 1, 2, 0, 1, 1, 2, 2, 0, 3, 2, 0, 2, 4, 2, 4, 3, 0, 4, 3, 0, 1, 4, 0, 0, 1, 1, 4, 4, 0, 4, 2, 2, 3, 4, 3, 1, 3, 1, 1, 1, 4, 3, 3, 1, 0, 1, 3, 4, 4, 4, 4, 1, 4, 0, 1, 1, 3, 1, 4, 2, 1, 3, 2, 1, 1, 0, 0, 1, 1, 3, 2, 4, 3, 4, 3, 2, 0, 3, 3, 3, 0, 1, 0, 3, 0, 3, 1, 4, 0, 1, 1, 2, 4, 1, 3, 3, 3, 3, 3, 1, 0, 0, 4, 4, 4, 4, 3, 0, 0, 2, 3, 1, 4, 4, 2, 3, 1, 4, 2, 0, 3, 0, 4, 2, 4, 2, 0, 3, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 3, 0, 4, 0, 1, 4, 0, 3, 2, 0, 2, 4, 0, 1, 2, 0, 2, 3, 4, 3, 0, 3, 0, 4, 3, 3, 0, 0, 3, 2, 1, 3, 0, 3, 3, 4, 3, 2, 2, 0, 2, 4, 4, 1, 0, 2, 0, 0, 2, 1, 4, 1, 3, 2, 0, 0, 1, 2, 4, 1, 2, 4, 4, 4, 4, 0, 2, 4, 4, 4, 3, 4, 1, 1, 2, 1, 1, 3, 3, 4, 0, 3, 2, 4, 4, 0, 3, 2, 0, 4, 2, 0, 0, 2, 2, 3, 2]
pubkeycol488 = [3, 0, 1, 0, 1, 1, 3, 3, 4, 1, 3, 3, 2, 3, 3, 0, 2, 3, 0, 3, 4, 2, 0, 4, 3, 3, 1, 1, 4, 2, 4, 2, 0, 2, 1, 0, 3, 4, 2, 0, 3, 3, 0, 0, 4, 1, 4, 0, 0, 2, 0, 0, 2, 0, 4, 2, 2, 2, 0, 4, 0, 4, 3, 2, 0, 3, 2, 1, 4, 4, 4, 0, 3, 0, 1, 2, 3, 0, 1, 0, 1, 3, 4, 4, 0, 4, 0, 3, 2, 3, 0, 2, 2, 0, 4, 0, 0, 2, 2, 0, 4, 4, 1, 0, 1, 0, 3, 1, 3, 4, 1, 0, 2, 3, 1, 1, 4, 3, 1, 3, 0, 3, 3, 2, 3, 0, 2, 1, 1, 1, 2, 3, 3, 1, 3, 1, 4, 4, 2, 4, 3, 0, 2, 4, 0, 4, 1, 1, 3, 1, 2, 4, 1, 1, 0, 3, 2, 4, 0, 3, 0, 1, 1, 4, 2, 4, 1, 1, 3, 4, 2, 1, 0, 1, 4, 0, 3, 4, 4, 2, 2, 0, 1, 0, 1, 4, 2, 4, 2, 0, 1, 1, 4, 4, 0, 1, 0, 1, 1, 3, 0, 4, 2, 2, 4, 3, 0, 4, 0, 4, 3, 4, 0, 1, 3, 4, 3, 3, 4, 0, 2, 4, 4, 2, 2, 3, 4, 0, 2, 4, 0, 0, 4, 1, 1, 0, 2, 1, 0, 3, 3, 3, 3, 2, 4, 3, 1, 3, 4, 4, 0, 0, 2, 2, 2, 2, 2, 4, 3, 0, 0, 4, 3, 1, 3, 1, 0, 0, 0, 3, 3, 0, 4, 0, 2, 3, 0, 3, 3, 1, 4, 4, 4, 4, 3, 4, 1, 0, 4, 3, 0, 2, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 4, 4, 0, 0, 0, 2, 3, 4, 3, 4, 2, 1, 0, 1, 3, 0, 1, 3, 1, 4, 2, 4, 4, 2, 2, 4, 3, 1, 4, 1, 0, 1, 4, 0, 4, 3, 2, 3, 3, 2, 1, 2, 2, 4, 2, 1, 3, 1, 1, 3, 1, 0, 4, 2, 4, 1, 3, 0, 0, 2, 2, 2, 3, 3, 3, 0, 2, 0, 1, 2, 2, 4, 2, 3, 0, 3, 3, 1, 2, 0, 0, 2, 1, 0, 1, 0, 3, 1, 3, 1, 4, 1, 2, 3, 4, 3, 0, 2]
pubkeycol489 = [4, 2, 2, 4, 2, 1, 2, 0, 4, 4, 2, 3, 1, 4, 1, 4, 1, 4, 3, 0, 3, 1, 2, 1, 0, 3, 0, 2, 3, 1, 1, 3, 0, 3, 1, 1, 2, 0, 1, 1, 0, 1, 4, 2, 0, 1, 4, 2, 2, 0, 1, 2, 2, 3, 3, 1, 0, 4, 2, 1, 4, 1, 0, 4, 2, 2, 3, 2, 3, 3, 0, 2, 3, 2, 0, 4, 3, 2, 2, 2, 2, 4, 3, 1, 0, 2, 2, 3, 0, 4, 4, 3, 0, 0, 0, 2, 1, 2, 2, 4, 4, 3, 1, 3, 4, 0, 3, 2, 3, 2, 4, 0, 1, 0, 2, 2, 4, 4, 2, 0, 4, 3, 2, 3, 4, 4, 0, 0, 0, 3, 3, 4, 2, 3, 3, 0, 1, 1, 4, 1, 4, 0, 4, 4, 4, 4, 1, 1, 4, 4, 0, 3, 0, 4, 1, 3, 1, 2, 2, 3, 2, 4, 3, 4, 4, 3, 4, 0, 3, 1, 1, 4, 2, 1, 3, 2, 1, 3, 1, 0, 3, 3, 4, 3, 2, 0, 3, 2, 1, 2, 2, 2, 1, 1, 2, 4, 1, 4, 0, 2, 1, 4, 3, 0, 1, 4, 4, 0, 2, 1, 3, 2, 1, 1, 3, 0, 4, 1, 2, 0, 4, 0, 0, 1, 3, 4, 3, 3, 3, 0, 3, 3, 2, 2, 4, 0, 0, 1, 2, 4, 4, 0, 0, 0, 4, 4, 1, 4, 2, 4, 4, 1, 2, 4, 0, 3, 1, 2, 4, 1, 1, 0, 2, 4, 1, 3, 3, 4, 4, 0, 3, 0, 3, 1, 4, 3, 3, 4, 0, 4, 3, 3, 1, 3, 3, 3, 1, 2, 2, 3, 3, 3, 0, 1, 2, 2, 4, 1, 0, 1, 2, 1, 1, 0, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 0, 4, 0, 4, 3, 1, 2, 4, 4, 0, 0, 1, 1, 2, 3, 4, 3, 3, 3, 4, 1, 2, 4, 1, 0, 3, 3, 3, 3, 2, 3, 1, 0, 0, 0, 1, 3, 2, 2, 1, 0, 3, 4, 4, 1, 1, 2, 4, 0, 3, 1, 0, 2, 2, 0, 0, 2, 0, 4, 0, 2, 1, 1, 1, 2, 4, 2, 3, 4, 4, 4, 4, 1, 2, 0, 3, 2, 3, 3, 0, 0, 0, 1, 4, 4, 1]
pubkeycol490 = [3, 3, 1, 0, 4, 1, 0, 3, 3, 1, 1, 4, 3, 1, 3, 0, 2, 0, 0, 0, 2, 2, 3, 0, 2, 1, 0, 3, 3, 4, 4, 0, 3, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 4, 4, 3, 4, 3, 3, 1, 3, 1, 1, 2, 1, 4, 4, 4, 1, 3, 2, 0, 2, 1, 0, 2, 3, 1, 0, 3, 3, 1, 4, 0, 1, 0, 4, 3, 1, 3, 3, 4, 2, 4, 4, 2, 3, 4, 0, 1, 1, 3, 1, 3, 0, 0, 0, 3, 1, 0, 1, 2, 4, 4, 3, 0, 3, 3, 0, 1, 1, 1, 4, 3, 3, 3, 4, 4, 3, 3, 3, 4, 2, 4, 3, 1, 1, 4, 4, 4, 0, 1, 2, 2, 1, 2, 2, 4, 2, 3, 1, 1, 3, 3, 3, 2, 4, 1, 0, 4, 2, 1, 4, 0, 0, 4, 3, 0, 4, 2, 1, 2, 3, 0, 2, 3, 4, 4, 3, 3, 0, 1, 4, 2, 2, 2, 4, 4, 0, 0, 4, 3, 0, 3, 2, 0, 0, 1, 2, 3, 2, 1, 1, 2, 1, 0, 3, 1, 4, 0, 2, 3, 1, 3, 2, 0, 0, 1, 3, 1, 4, 4, 4, 0, 4, 2, 2, 0, 4, 4, 1, 3, 4, 3, 0, 2, 2, 2, 3, 3, 0, 0, 3, 1, 2, 1, 2, 1, 4, 0, 1, 4, 2, 0, 2, 3, 2, 1, 2, 0, 1, 4, 0, 1, 1, 0, 3, 2, 2, 2, 2, 2, 3, 0, 2, 4, 1, 1, 0, 4, 0, 3, 2, 2, 1, 0, 2, 4, 3, 3, 0, 2, 3, 0, 3, 3, 4, 2, 3, 1, 4, 1, 3, 2, 4, 2, 3, 1, 3, 4, 0, 1, 1, 1, 3, 2, 4, 2, 1, 0, 3, 1, 1, 1, 3, 3, 0, 2, 3, 1, 3, 2, 4, 3, 4, 1, 2, 3, 4, 0, 3, 4, 1, 1, 3, 2, 0, 0, 4, 4, 4, 3, 2, 3, 2, 1, 3, 2, 1, 0, 4, 3, 4, 1, 0, 0, 4, 3, 4, 1, 3, 0, 1, 1, 4, 4, 3, 4, 2, 3, 3, 3, 3, 1, 0, 0, 2, 4, 1, 2, 2, 1, 2, 4, 1, 0, 1, 1, 2, 4, 2, 1, 3, 0, 0, 3, 4, 0, 2, 1]
pubkeycol491 = [3, 0, 1, 3, 4, 4, 0, 1, 4, 1, 0, 1, 3, 1, 4, 2, 3, 3, 4, 0, 4, 2, 4, 0, 4, 0, 1, 2, 2, 0, 1, 3, 2, 3, 0, 4, 3, 3, 0, 3, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 0, 1, 3, 2, 3, 1, 1, 0, 4, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 4, 4, 1, 4, 2, 4, 0, 4, 2, 2, 3, 0, 4, 2, 2, 3, 3, 1, 4, 0, 4, 2, 0, 0, 1, 1, 4, 0, 1, 0, 0, 4, 0, 0, 3, 2, 4, 3, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 3, 0, 2, 4, 0, 3, 4, 4, 2, 1, 3, 2, 1, 1, 4, 1, 0, 2, 4, 0, 4, 2, 4, 0, 0, 0, 4, 3, 2, 2, 0, 1, 1, 2, 3, 1, 4, 4, 3, 3, 4, 1, 2, 2, 0, 2, 1, 1, 4, 2, 1, 2, 1, 3, 1, 1, 4, 1, 4, 0, 2, 2, 4, 3, 0, 3, 0, 4, 2, 4, 2, 4, 4, 3, 1, 4, 0, 4, 2, 2, 0, 4, 2, 1, 3, 1, 3, 3, 1, 4, 0, 0, 1, 1, 2, 2, 0, 2, 3, 2, 4, 2, 0, 4, 0, 1, 1, 3, 1, 3, 2, 4, 2, 4, 2, 0, 2, 3, 0, 4, 4, 1, 2, 1, 4, 4, 1, 3, 2, 3, 4, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 4, 2, 0, 3, 0, 2, 2, 2, 2, 0, 4, 4, 2, 1, 3, 0, 1, 4, 2, 4, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 4, 2, 3, 0, 2, 1, 3, 2, 2, 3, 1, 1, 2, 4, 4, 3, 0, 2, 3, 1, 3, 4, 1, 4, 0, 0, 2, 3, 2, 1, 0, 0, 1, 2, 2, 2, 4, 3, 2, 0, 2, 2, 1, 1, 0, 4, 2, 3, 4, 0, 2, 3, 4, 1, 4, 2, 1, 4, 0, 3, 2, 3, 3, 1, 3, 1, 2, 3, 4, 2, 3, 2, 0, 4, 4, 0, 4, 2, 3, 1, 2, 1, 3, 1, 4, 4, 0, 3, 2, 2, 0, 2, 0, 3, 3, 1, 2, 3, 3, 0, 4, 1, 3, 2, 2, 4]
pubkeycol492 = [0, 3, 4, 1, 3, 2, 4, 2, 2, 0, 4, 3, 3, 4, 1, 0, 3, 2, 3, 4, 0, 1, 3, 0, 2, 1, 4, 2, 1, 3, 1, 1, 4, 1, 1, 0, 4, 2, 3, 2, 1, 4, 3, 1, 4, 3, 4, 2, 2, 0, 2, 2, 1, 3, 1, 0, 1, 3, 2, 0, 1, 2, 4, 2, 2, 0, 1, 4, 2, 0, 0, 2, 3, 2, 1, 4, 0, 1, 0, 3, 3, 4, 4, 0, 1, 4, 3, 1, 1, 3, 1, 4, 2, 1, 1, 3, 1, 0, 0, 4, 1, 4, 3, 0, 0, 0, 2, 4, 4, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 4, 0, 2, 0, 0, 0, 3, 1, 2, 1, 4, 3, 2, 2, 0, 2, 3, 2, 2, 1, 4, 1, 2, 4, 2, 2, 0, 0, 4, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 3, 4, 4, 1, 2, 2, 0, 0, 4, 0, 3, 3, 1, 4, 4, 2, 3, 0, 0, 0, 4, 0, 0, 1, 3, 1, 1, 3, 3, 0, 4, 4, 3, 2, 4, 4, 3, 2, 3, 3, 1, 4, 2, 0, 1, 3, 3, 3, 4, 4, 0, 1, 1, 2, 1, 3, 3, 1, 2, 4, 0, 2, 0, 1, 1, 4, 3, 2, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 1, 0, 3, 0, 4, 0, 0, 2, 4, 1, 4, 3, 1, 4, 1, 0, 1, 3, 3, 1, 1, 4, 4, 2, 1, 0, 2, 2, 2, 3, 2, 2, 4, 0, 4, 3, 2, 0, 4, 0, 4, 3, 2, 0, 1, 4, 2, 4, 2, 1, 2, 0, 2, 4, 1, 3, 0, 2, 3, 0, 1, 0, 2, 0, 2, 1, 4, 2, 3, 4, 4, 0, 4, 1, 4, 2, 0, 2, 2, 1, 4, 1, 2, 2, 2, 3, 1, 0, 4, 1, 4, 4, 1, 1, 3, 0, 0, 4, 3, 4, 3, 1, 1, 2, 4, 2, 3, 3, 0, 0, 0, 3, 2, 4, 2, 0, 3, 2, 1, 0, 4, 3, 2, 0, 2, 3, 1, 3, 4, 2, 4, 3, 2, 3, 1, 4, 0, 0, 1, 2, 4, 2, 4, 4, 2, 0, 3, 2, 2, 0, 2, 4, 3, 1, 1, 0, 0, 2, 3, 2, 0, 4, 3, 4]
pubkeycol493 = [3, 3, 0, 2, 4, 4, 2, 1, 2, 0, 0, 4, 0, 3, 4, 3, 0, 3, 1, 4, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 4, 2, 3, 3, 1, 4, 2, 1, 4, 2, 3, 2, 0, 0, 1, 3, 1, 4, 2, 3, 4, 3, 0, 4, 4, 1, 2, 3, 0, 2, 1, 2, 3, 2, 1, 3, 2, 4, 2, 4, 1, 2, 2, 2, 3, 1, 3, 1, 2, 2, 0, 4, 2, 0, 0, 3, 0, 2, 1, 3, 3, 3, 3, 4, 3, 0, 2, 3, 3, 0, 4, 2, 3, 1, 2, 0, 2, 3, 2, 4, 1, 2, 0, 3, 1, 0, 3, 3, 4, 0, 0, 2, 3, 0, 1, 0, 3, 2, 0, 2, 3, 0, 3, 4, 3, 2, 0, 0, 0, 4, 0, 4, 1, 0, 2, 0, 0, 1, 4, 2, 4, 2, 4, 3, 1, 4, 0, 4, 4, 1, 0, 0, 4, 2, 0, 4, 2, 4, 1, 0, 0, 3, 0, 0, 2, 1, 2, 3, 0, 3, 3, 4, 4, 4, 3, 0, 3, 3, 0, 0, 2, 1, 1, 3, 0, 3, 2, 4, 2, 0, 0, 0, 3, 0, 2, 3, 3, 1, 4, 2, 0, 2, 2, 0, 1, 3, 3, 4, 3, 0, 1, 0, 0, 1, 2, 3, 4, 1, 4, 1, 0, 4, 2, 3, 2, 2, 1, 1, 4, 3, 0, 3, 4, 0, 1, 4, 1, 0, 1, 3, 3, 0, 0, 3, 0, 2, 0, 3, 1, 1, 0, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 4, 1, 2, 3, 3, 3, 2, 3, 0, 2, 4, 4, 1, 3, 2, 3, 2, 3, 4, 4, 3, 0, 1, 0, 3, 3, 0, 1, 4, 3, 2, 1, 1, 1, 2, 4, 4, 2, 0, 2, 4, 4, 4, 1, 4, 3, 0, 1, 2, 3, 4, 0, 4, 2, 4, 0, 2, 2, 1, 0, 1, 1, 4, 4, 2, 3, 3, 2, 2, 3, 4, 0, 0, 4, 3, 3, 1, 1, 4, 1, 2, 2, 3, 2, 1, 4, 4, 3, 2, 4, 1, 1, 0, 4, 2, 2, 2, 1, 2, 0, 3, 4, 2, 2, 4, 1, 3, 3, 0, 0, 2, 4, 1, 1, 0, 1, 3, 0, 1, 2, 0, 1, 3, 1, 0, 4, 2, 2]
pubkeycol494 = [3, 4, 3, 4, 1, 1, 2, 2, 1, 3, 3, 2, 0, 3, 4, 3, 3, 1, 1, 4, 3, 2, 1, 3, 4, 2, 1, 3, 1, 1, 4, 3, 0, 3, 2, 0, 4, 1, 1, 2, 3, 3, 3, 4, 3, 3, 2, 0, 2, 2, 1, 3, 3, 2, 0, 4, 2, 1, 0, 2, 4, 4, 0, 3, 2, 4, 0, 1, 4, 0, 2, 2, 3, 2, 0, 4, 0, 4, 0, 1, 3, 4, 1, 1, 1, 3, 1, 4, 0, 3, 4, 4, 4, 0, 4, 4, 1, 0, 0, 3, 4, 4, 3, 2, 1, 0, 0, 4, 4, 0, 1, 0, 4, 0, 2, 2, 1, 1, 4, 0, 2, 2, 4, 0, 3, 1, 0, 4, 2, 3, 3, 1, 4, 0, 4, 3, 1, 2, 3, 2, 0, 0, 1, 0, 0, 4, 2, 0, 4, 0, 2, 4, 0, 1, 4, 2, 4, 1, 1, 2, 0, 1, 0, 1, 2, 3, 1, 1, 1, 0, 1, 0, 0, 3, 1, 3, 3, 0, 2, 0, 3, 1, 4, 2, 3, 1, 0, 0, 3, 2, 0, 1, 3, 3, 1, 4, 0, 3, 4, 3, 1, 3, 2, 1, 0, 3, 1, 4, 1, 3, 3, 0, 3, 2, 3, 3, 2, 3, 0, 2, 1, 4, 4, 3, 3, 3, 4, 3, 2, 3, 4, 0, 3, 4, 1, 2, 2, 2, 1, 1, 2, 4, 3, 3, 4, 1, 1, 4, 3, 2, 2, 0, 3, 1, 0, 1, 0, 2, 2, 2, 2, 4, 4, 2, 4, 2, 1, 0, 2, 1, 3, 0, 3, 3, 1, 2, 3, 3, 4, 4, 4, 0, 2, 4, 0, 1, 2, 2, 3, 4, 4, 1, 3, 3, 3, 1, 1, 2, 4, 2, 0, 3, 2, 4, 2, 4, 4, 2, 4, 2, 1, 0, 0, 4, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 3, 0, 1, 4, 0, 3, 3, 2, 1, 3, 3, 3, 0, 1, 1, 2, 4, 3, 1, 0, 1, 0, 4, 3, 1, 2, 3, 3, 0, 4, 4, 3, 4, 2, 3, 1, 3, 2, 4, 2, 4, 4, 3, 0, 3, 1, 3, 2, 0, 2, 2, 0, 0, 0, 4, 2, 0, 3, 2, 1, 3, 1, 2, 0, 4, 0, 4, 2, 3, 1, 3, 4, 4, 3, 4, 4]
pubkeycol495 = [2, 4, 2, 3, 3, 3, 1, 3, 2, 4, 1, 3, 1, 3, 1, 3, 0, 2, 1, 0, 1, 0, 0, 4, 4, 3, 4, 1, 1, 2, 2, 2, 4, 1, 4, 1, 4, 4, 2, 2, 0, 3, 1, 3, 0, 4, 3, 0, 2, 2, 1, 3, 1, 0, 1, 4, 2, 1, 2, 3, 0, 1, 1, 2, 0, 0, 0, 2, 1, 4, 2, 2, 3, 3, 2, 0, 4, 2, 0, 1, 4, 2, 3, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 1, 0, 1, 4, 0, 2, 2, 0, 3, 4, 4, 1, 1, 0, 3, 1, 3, 3, 0, 0, 1, 3, 3, 3, 2, 0, 4, 1, 4, 2, 4, 0, 4, 1, 0, 0, 0, 1, 1, 3, 1, 0, 4, 1, 4, 2, 0, 4, 1, 1, 4, 4, 1, 2, 1, 3, 1, 4, 4, 1, 4, 3, 1, 4, 4, 0, 2, 2, 2, 0, 2, 2, 0, 0, 4, 0, 1, 0, 4, 4, 1, 4, 1, 4, 0, 2, 1, 3, 2, 0, 2, 0, 4, 4, 3, 1, 4, 4, 4, 4, 2, 3, 1, 1, 3, 2, 3, 3, 0, 2, 3, 2, 1, 0, 0, 1, 0, 4, 3, 1, 2, 2, 2, 0, 2, 2, 1, 0, 3, 3, 2, 2, 2, 4, 3, 3, 3, 0, 0, 2, 0, 4, 1, 2, 4, 4, 2, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 2, 0, 1, 1, 1, 3, 2, 1, 3, 4, 2, 4, 0, 4, 3, 4, 3, 1, 3, 2, 2, 3, 3, 2, 2, 0, 4, 3, 2, 0, 3, 4, 0, 2, 0, 4, 2, 0, 3, 1, 0, 2, 3, 2, 0, 4, 0, 3, 1, 2, 4, 1, 3, 4, 3, 4, 4, 0, 4, 2, 0, 3, 1, 1, 0, 0, 1, 0, 4, 4, 4, 0, 1, 0, 3, 4, 4, 4, 0, 2, 3, 3, 3, 4, 4, 1, 3, 4, 3, 0, 0, 2, 0, 4, 2, 0, 2, 4, 2, 1, 0, 3, 1, 0, 3, 3, 1, 0, 4, 2, 3, 0, 3, 3, 0, 1, 0, 0, 0, 0, 2, 3, 3, 2, 1, 4, 1, 0, 1, 1, 3, 4, 3, 0, 2, 4, 1, 1, 0, 4]
pubkeycol496 = [2, 3, 3, 2, 0, 3, 0, 2, 1, 2, 4, 2, 3, 2, 2, 4, 2, 3, 1, 0, 4, 1, 0, 3, 3, 1, 4, 0, 4, 4, 3, 1, 2, 0, 3, 4, 3, 4, 3, 0, 3, 3, 1, 2, 2, 1, 0, 3, 1, 2, 4, 1, 0, 3, 4, 3, 0, 4, 0, 4, 4, 3, 3, 1, 0, 0, 4, 0, 1, 0, 0, 1, 2, 4, 4, 2, 2, 1, 3, 0, 0, 1, 1, 4, 1, 4, 0, 1, 4, 4, 2, 0, 0, 4, 0, 2, 1, 2, 3, 4, 3, 1, 3, 2, 0, 3, 2, 1, 1, 0, 0, 4, 0, 4, 1, 1, 3, 1, 3, 4, 4, 0, 2, 3, 1, 2, 4, 2, 1, 2, 4, 0, 1, 0, 1, 0, 0, 3, 3, 4, 3, 1, 1, 3, 1, 2, 2, 0, 2, 0, 4, 2, 3, 2, 0, 3, 0, 4, 2, 0, 4, 4, 1, 2, 3, 0, 4, 3, 1, 0, 3, 4, 4, 2, 0, 2, 0, 1, 4, 0, 0, 3, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 0, 0, 3, 0, 4, 3, 1, 1, 0, 0, 3, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 3, 3, 4, 4, 2, 2, 4, 4, 0, 1, 0, 0, 4, 4, 4, 0, 2, 4, 2, 4, 4, 0, 0, 2, 2, 3, 4, 1, 4, 2, 3, 0, 0, 0, 2, 2, 3, 2, 0, 0, 4, 0, 2, 4, 0, 0, 4, 0, 3, 3, 4, 1, 4, 0, 3, 0, 4, 1, 1, 0, 2, 2, 3, 4, 0, 3, 3, 1, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, 2, 3, 3, 0, 2, 0, 3, 4, 2, 4, 0, 0, 0, 2, 0, 2, 2, 4, 0, 3, 0, 0, 0, 3, 3, 1, 0, 4, 1, 1, 2, 1, 4, 3, 1, 1, 3, 3, 4, 2, 0, 1, 0, 4, 1, 1, 4, 4, 2, 3, 3, 2, 0, 3, 3, 1, 2, 4, 0, 2, 0, 0, 4, 4, 0, 4, 1, 3, 2, 2, 4, 1, 0, 3, 4, 3, 0, 4, 2, 4, 3, 0, 1, 1, 2, 4, 4, 0, 4, 0, 4, 4, 4, 3, 2, 0, 4, 4, 3, 0, 4, 3, 4, 0, 3, 2, 1, 0]
pubkeycol497 = [2, 3, 3, 3, 1, 3, 4, 0, 4, 2, 4, 0, 1, 1, 2, 2, 0, 2, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 1, 0, 0, 3, 4, 2, 3, 4, 1, 1, 2, 2, 2, 0, 4, 4, 1, 2, 1, 4, 2, 1, 4, 3, 1, 2, 2, 0, 1, 1, 4, 4, 1, 4, 0, 3, 0, 2, 4, 1, 1, 3, 1, 1, 1, 2, 2, 0, 4, 2, 0, 1, 0, 4, 4, 4, 1, 0, 4, 2, 2, 4, 2, 1, 2, 2, 3, 1, 3, 2, 4, 3, 1, 2, 1, 3, 3, 2, 1, 2, 4, 1, 2, 3, 1, 1, 2, 0, 1, 0, 3, 0, 4, 4, 2, 0, 1, 1, 1, 1, 2, 2, 2, 4, 3, 3, 4, 1, 2, 0, 0, 2, 4, 4, 2, 3, 4, 1, 1, 4, 2, 0, 4, 3, 1, 0, 0, 3, 0, 0, 4, 3, 1, 3, 1, 0, 4, 1, 1, 1, 0, 2, 1, 0, 4, 1, 2, 4, 3, 1, 0, 2, 1, 1, 2, 3, 3, 1, 3, 2, 1, 2, 3, 0, 4, 0, 0, 4, 1, 0, 2, 2, 3, 4, 0, 3, 4, 0, 2, 0, 1, 4, 1, 1, 4, 4, 1, 1, 1, 3, 1, 4, 4, 2, 2, 4, 3, 4, 2, 1, 0, 0, 3, 3, 2, 0, 3, 4, 4, 3, 0, 3, 0, 4, 1, 1, 3, 0, 3, 4, 3, 1, 2, 4, 1, 4, 3, 2, 1, 2, 1, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 4, 2, 1, 4, 1, 4, 2, 0, 3, 0, 4, 3, 0, 0, 3, 0, 3, 3, 0, 3, 1, 2, 2, 2, 0, 3, 2, 0, 1, 4, 2, 2, 3, 0, 1, 4, 4, 1, 0, 4, 1, 3, 4, 1, 1, 2, 4, 1, 3, 2, 2, 0, 0, 4, 2, 4, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 3, 3, 4, 4, 3, 0, 1, 3, 4, 4, 3, 4, 1, 3, 4, 4, 4, 3, 0, 4, 4, 3, 1, 3, 1, 1, 2, 3, 4, 4, 3, 3, 4, 1, 4, 3, 1, 0, 0, 3, 0, 3, 2, 4, 0, 2, 3, 2, 0, 3, 2, 0, 0, 1, 1, 2, 4, 3, 4, 3, 3]
pubkeycol498 = [4, 3, 3, 0, 1, 4, 2, 3, 4, 3, 1, 1, 4, 3, 0, 0, 0, 3, 2, 1, 3, 4, 1, 3, 4, 0, 4, 3, 0, 3, 1, 2, 3, 3, 2, 4, 4, 0, 4, 3, 0, 2, 3, 1, 0, 1, 3, 1, 0, 2, 3, 1, 0, 4, 4, 1, 1, 0, 3, 1, 3, 0, 4, 2, 1, 3, 2, 0, 0, 3, 1, 4, 4, 2, 0, 2, 1, 0, 4, 3, 4, 0, 0, 1, 0, 4, 2, 4, 4, 1, 4, 0, 2, 2, 1, 1, 0, 4, 4, 2, 2, 0, 1, 2, 3, 1, 0, 1, 0, 3, 0, 4, 1, 4, 1, 3, 1, 3, 2, 1, 0, 3, 2, 0, 3, 4, 3, 3, 3, 4, 4, 2, 3, 4, 1, 4, 4, 3, 3, 0, 2, 3, 3, 3, 3, 4, 4, 4, 2, 3, 1, 2, 1, 0, 4, 3, 1, 1, 0, 2, 0, 2, 0, 0, 3, 3, 0, 3, 0, 2, 1, 4, 1, 3, 2, 1, 1, 3, 1, 2, 4, 2, 4, 4, 3, 0, 3, 4, 4, 3, 1, 1, 4, 1, 4, 0, 2, 2, 2, 0, 0, 3, 2, 3, 3, 1, 0, 1, 0, 1, 0, 0, 4, 0, 4, 4, 0, 1, 4, 3, 1, 2, 1, 2, 3, 2, 2, 2, 3, 3, 0, 1, 2, 4, 3, 4, 3, 1, 1, 2, 2, 2, 4, 4, 3, 2, 4, 2, 1, 1, 0, 3, 1, 3, 4, 0, 4, 1, 3, 1, 0, 3, 1, 0, 0, 1, 0, 0, 2, 4, 1, 2, 2, 4, 3, 0, 0, 4, 1, 2, 2, 0, 4, 0, 1, 1, 0, 1, 3, 2, 2, 4, 0, 2, 1, 4, 4, 2, 0, 2, 0, 4, 4, 1, 2, 1, 0, 2, 0, 0, 4, 2, 3, 0, 4, 4, 2, 2, 4, 3, 4, 1, 4, 1, 4, 2, 3, 4, 4, 2, 3, 1, 3, 3, 1, 4, 1, 3, 4, 1, 0, 2, 2, 3, 3, 2, 0, 2, 0, 2, 1, 4, 3, 3, 3, 3, 2, 2, 0, 2, 4, 3, 3, 1, 0, 2, 2, 3, 3, 4, 3, 3, 1, 0, 4, 2, 2, 4, 3, 3, 4, 3, 4, 0, 3, 3, 3, 2, 2, 3, 0, 1, 4, 1, 3, 4, 1, 1, 3, 2]
pubkeycol499 = [2, 1, 4, 0, 4, 1, 0, 0, 3, 2, 0, 3, 2, 0, 2, 3, 3, 0, 3, 3, 4, 1, 4, 0, 1, 1, 4, 1, 1, 0, 2, 4, 0, 2, 2, 3, 1, 1, 2, 0, 0, 0, 1, 0, 4, 0, 1, 4, 0, 4, 4, 1, 3, 1, 0, 0, 3, 4, 0, 2, 1, 4, 3, 0, 3, 2, 3, 1, 2, 2, 3, 2, 4, 1, 2, 4, 2, 3, 0, 0, 4, 3, 2, 2, 3, 3, 3, 1, 4, 1, 0, 0, 1, 2, 0, 2, 3, 4, 0, 1, 0, 2, 4, 1, 1, 0, 1, 1, 3, 0, 4, 3, 0, 0, 4, 2, 1, 3, 0, 2, 4, 2, 1, 1, 4, 1, 1, 4, 0, 0, 1, 1, 3, 1, 3, 0, 4, 3, 4, 1, 3, 1, 4, 1, 3, 0, 3, 3, 0, 1, 0, 0, 4, 0, 4, 0, 4, 4, 3, 4, 1, 3, 3, 0, 1, 4, 4, 2, 2, 4, 3, 4, 1, 3, 4, 0, 4, 4, 2, 4, 2, 2, 2, 0, 4, 0, 0, 1, 2, 4, 3, 2, 4, 2, 3, 2, 2, 3, 4, 4, 3, 1, 2, 2, 0, 0, 1, 0, 4, 3, 0, 4, 4, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 3, 3, 4, 0, 3, 0, 3, 0, 1, 0, 3, 1, 2, 2, 0, 1, 2, 3, 0, 0, 2, 1, 4, 0, 4, 3, 2, 1, 4, 3, 2, 3, 0, 4, 0, 2, 4, 1, 0, 2, 1, 1, 4, 0, 1, 1, 0, 2, 4, 3, 1, 4, 2, 3, 1, 4, 3, 3, 3, 1, 3, 1, 4, 2, 2, 1, 3, 1, 0, 4, 0, 3, 1, 4, 1, 4, 1, 2, 0, 2, 0, 0, 3, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 4, 4, 0, 1, 4, 3, 1, 2, 2, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 1, 3, 2, 0, 1, 4, 2, 2, 4, 3, 0, 0, 2, 1, 4, 4, 1, 2, 3, 1, 0, 3, 2, 3, 4, 1, 2, 0, 2, 4, 3, 3, 2, 0, 4, 0, 4, 4, 2, 3, 0, 4, 2, 2, 1, 3, 2, 2, 4, 4, 2, 0, 0, 2, 3, 1, 0, 1, 0, 0, 0, 3, 3, 0]
pubkeycol500 = [1, 2, 4, 2, 4, 3, 4, 1, 2, 2, 3, 3, 3, 3, 4, 1, 1, 0, 4, 0, 1, 2, 3, 4, 1, 3, 2, 3, 0, 0, 1, 0, 1, 3, 0, 4, 2, 4, 0, 4, 4, 3, 0, 3, 0, 3, 1, 4, 4, 3, 1, 0, 4, 0, 2, 0, 0, 1, 0, 1, 2, 4, 2, 3, 4, 3, 1, 4, 2, 3, 4, 2, 1, 3, 1, 2, 3, 3, 3, 0, 2, 4, 2, 3, 1, 0, 3, 1, 0, 2, 2, 0, 3, 4, 0, 2, 4, 0, 2, 0, 3, 0, 0, 2, 1, 0, 2, 4, 3, 4, 0, 4, 2, 1, 3, 3, 1, 3, 2, 1, 1, 1, 3, 3, 2, 4, 0, 2, 4, 0, 0, 1, 3, 0, 4, 2, 2, 3, 0, 3, 4, 4, 3, 4, 0, 1, 2, 4, 1, 0, 2, 2, 0, 0, 1, 3, 0, 0, 2, 2, 4, 3, 1, 2, 3, 3, 1, 2, 0, 3, 0, 1, 2, 0, 0, 3, 0, 0, 1, 0, 2, 2, 2, 3, 4, 1, 4, 4, 3, 3, 0, 1, 1, 2, 2, 3, 1, 0, 3, 0, 0, 0, 3, 4, 4, 0, 2, 1, 2, 4, 3, 4, 3, 3, 3, 0, 1, 0, 0, 2, 0, 1, 3, 3, 3, 2, 4, 2, 4, 1, 3, 0, 3, 1, 2, 2, 1, 4, 2, 1, 1, 4, 3, 2, 3, 0, 1, 3, 2, 1, 4, 0, 2, 3, 0, 0, 0, 2, 2, 0, 0, 1, 3, 3, 4, 4, 2, 2, 4, 0, 2, 0, 3, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 3, 2, 4, 0, 4, 4, 2, 2, 0, 4, 0, 4, 1, 2, 0, 2, 0, 2, 3, 4, 4, 1, 0, 1, 4, 2, 2, 4, 3, 0, 2, 0, 0, 3, 3, 2, 1, 0, 4, 3, 0, 0, 2, 2, 1, 2, 2, 4, 4, 4, 4, 0, 2, 4, 3, 3, 4, 2, 4, 1, 1, 0, 2, 0, 4, 3, 3, 1, 4, 0, 0, 4, 3, 4, 3, 2, 0, 0, 4, 4, 2, 0, 4, 1, 3, 3, 0, 0, 2, 0, 0, 1, 1, 4, 2, 4, 0, 3, 1, 3, 4, 4, 4, 1, 3, 4, 2, 2, 4, 2, 4, 1, 3, 0, 2, 2, 1]
pubkeycol501 = [4, 0, 0, 0, 1, 3, 0, 4, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 4, 0, 0, 0, 4, 4, 1, 3, 3, 2, 4, 4, 0, 1, 1, 0, 1, 0, 3, 0, 3, 2, 3, 4, 3, 1, 4, 1, 2, 3, 4, 2, 0, 1, 1, 0, 0, 3, 3, 4, 2, 3, 2, 4, 2, 1, 4, 4, 2, 4, 1, 2, 1, 0, 0, 0, 2, 3, 2, 4, 4, 4, 4, 3, 2, 4, 3, 1, 4, 0, 4, 4, 3, 4, 2, 0, 3, 0, 3, 3, 2, 4, 1, 3, 4, 3, 0, 4, 2, 2, 3, 3, 3, 1, 4, 1, 3, 4, 3, 1, 3, 3, 0, 1, 2, 0, 3, 3, 0, 0, 0, 4, 1, 0, 0, 4, 3, 4, 2, 4, 2, 0, 4, 4, 1, 3, 0, 4, 0, 3, 3, 2, 1, 0, 3, 3, 2, 1, 1, 2, 0, 3, 1, 2, 4, 1, 3, 0, 3, 2, 2, 1, 2, 1, 4, 0, 3, 4, 0, 2, 2, 0, 4, 4, 1, 1, 2, 4, 4, 3, 1, 1, 4, 0, 2, 3, 4, 0, 1, 1, 0, 3, 4, 2, 2, 0, 3, 1, 0, 0, 1, 1, 1, 3, 3, 3, 1, 0, 0, 2, 2, 0, 0, 3, 3, 0, 1, 1, 1, 4, 2, 0, 2, 1, 1, 0, 2, 2, 0, 4, 4, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 4, 4, 4, 2, 0, 1, 2, 0, 2, 0, 3, 4, 1, 1, 4, 3, 2, 0, 3, 0, 2, 0, 0, 1, 4, 2, 2, 1, 1, 0, 4, 3, 2, 4, 0, 3, 3, 0, 1, 0, 2, 4, 1, 2, 3, 1, 1, 1, 4, 4, 0, 3, 0, 3, 4, 1, 4, 3, 2, 3, 3, 0, 2, 1, 4, 0, 0, 3, 2, 0, 2, 3, 4, 3, 3, 4, 1, 0, 1, 3, 0, 4, 4, 4, 0, 3, 3, 4, 3, 3, 3, 4, 0, 1, 1, 2, 4, 1, 1, 3, 1, 4, 4, 0, 1, 3, 4, 0, 3, 4, 0, 2, 3, 0, 3, 0, 1, 0, 1, 4, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 3, 2, 1, 1, 4, 4, 3, 0, 1, 0, 1, 0, 4, 2, 4, 2, 2, 3, 4]
pubkeycol502 = [0, 0, 0, 4, 1, 3, 1, 4, 2, 4, 4, 1, 4, 2, 1, 1, 3, 2, 1, 3, 2, 0, 1, 2, 2, 3, 4, 4, 1, 1, 1, 1, 4, 3, 0, 2, 3, 0, 4, 3, 2, 4, 3, 4, 4, 4, 1, 0, 4, 1, 2, 4, 1, 4, 2, 2, 0, 0, 0, 3, 2, 3, 3, 0, 1, 0, 2, 0, 1, 2, 0, 3, 0, 3, 2, 4, 2, 3, 1, 0, 0, 1, 3, 3, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 4, 4, 2, 2, 2, 4, 1, 1, 2, 0, 0, 4, 2, 4, 1, 2, 0, 1, 1, 0, 1, 4, 4, 0, 3, 3, 2, 4, 2, 3, 3, 2, 2, 4, 4, 4, 4, 4, 0, 1, 1, 1, 2, 1, 2, 4, 0, 4, 0, 3, 2, 4, 0, 3, 2, 3, 2, 2, 0, 2, 1, 4, 1, 1, 4, 1, 1, 0, 2, 2, 0, 4, 4, 4, 3, 3, 4, 2, 2, 3, 2, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 1, 0, 2, 1, 4, 1, 0, 0, 0, 4, 3, 1, 3, 1, 3, 1, 3, 4, 4, 4, 0, 2, 4, 2, 0, 3, 0, 1, 3, 0, 3, 3, 3, 0, 2, 3, 0, 3, 4, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 4, 1, 0, 1, 1, 0, 4, 2, 1, 2, 3, 4, 3, 3, 4, 0, 4, 1, 3, 2, 3, 1, 1, 4, 4, 4, 3, 1, 0, 2, 3, 1, 4, 1, 2, 0, 3, 0, 1, 4, 3, 4, 4, 1, 1, 2, 3, 0, 3, 1, 3, 2, 4, 2, 4, 2, 2, 4, 2, 1, 1, 3, 2, 0, 3, 3, 2, 1, 2, 3, 3, 3, 0, 3, 0, 4, 1, 2, 2, 0, 2, 2, 4, 3, 4, 0, 2, 4, 2, 1, 4, 1, 0, 0, 4, 2, 2, 2, 2, 4, 2, 1, 4, 4, 2, 2, 2, 2, 0, 2, 0, 2, 1, 3, 4, 4, 0, 2, 1, 4, 1, 4, 0, 4, 4, 2, 0, 2, 0, 2, 3, 3, 2, 0, 2, 4, 1, 4, 1, 0, 2, 3, 1, 0, 1, 1, 4, 4, 3, 0, 3, 3, 4, 2, 4, 3, 3, 1, 4, 1, 2, 1, 0]
pubkeycol503 = [3, 3, 3, 3, 4, 4, 1, 4, 3, 2, 4, 2, 1, 2, 0, 1, 1, 0, 2, 3, 2, 0, 0, 1, 0, 0, 0, 0, 3, 1, 0, 0, 4, 1, 2, 2, 3, 1, 2, 3, 1, 3, 0, 4, 0, 4, 4, 0, 4, 2, 3, 4, 2, 0, 0, 2, 4, 0, 4, 2, 1, 4, 4, 3, 1, 3, 0, 0, 0, 1, 2, 2, 3, 1, 1, 3, 0, 4, 1, 3, 3, 2, 1, 3, 0, 0, 2, 2, 0, 2, 3, 1, 1, 0, 1, 0, 4, 0, 2, 4, 2, 3, 4, 1, 2, 0, 0, 1, 3, 1, 2, 4, 3, 4, 1, 0, 1, 4, 3, 0, 0, 4, 4, 0, 0, 1, 4, 0, 4, 0, 0, 3, 3, 3, 2, 0, 3, 3, 2, 2, 2, 2, 4, 4, 2, 1, 4, 4, 1, 1, 2, 3, 2, 4, 3, 0, 1, 3, 0, 0, 0, 4, 3, 1, 2, 4, 4, 2, 3, 0, 3, 2, 3, 0, 3, 3, 1, 4, 0, 1, 4, 3, 1, 3, 0, 2, 0, 2, 2, 2, 3, 1, 1, 4, 3, 3, 3, 4, 2, 1, 3, 2, 2, 1, 4, 2, 3, 4, 2, 1, 4, 2, 0, 0, 1, 4, 3, 2, 0, 3, 2, 0, 0, 4, 4, 4, 0, 1, 3, 4, 2, 2, 0, 1, 4, 0, 1, 4, 1, 4, 0, 0, 1, 1, 2, 2, 4, 1, 2, 4, 1, 2, 3, 4, 0, 3, 1, 1, 4, 1, 4, 4, 0, 1, 2, 3, 2, 0, 0, 2, 4, 1, 4, 0, 0, 4, 3, 1, 4, 2, 4, 2, 2, 0, 4, 4, 1, 4, 4, 1, 0, 3, 3, 3, 0, 2, 3, 0, 0, 2, 1, 4, 4, 3, 3, 1, 1, 3, 2, 4, 3, 4, 3, 2, 2, 1, 2, 3, 2, 2, 2, 4, 1, 0, 0, 3, 3, 4, 1, 4, 1, 1, 3, 3, 2, 0, 2, 4, 4, 4, 4, 3, 0, 2, 2, 3, 3, 1, 3, 0, 1, 1, 2, 3, 4, 3, 2, 3, 3, 1, 4, 4, 3, 0, 2, 0, 1, 3, 4, 3, 3, 3, 1, 3, 4, 3, 1, 3, 1, 1, 0, 4, 0, 1, 1, 0, 4, 1, 0, 3, 4, 0, 1, 0, 3, 4, 4, 3, 3, 4]
pubkeycol504 = [3, 2, 0, 4, 1, 2, 2, 0, 0, 3, 3, 2, 0, 0, 1, 1, 1, 4, 0, 3, 2, 3, 0, 2, 0, 2, 0, 2, 1, 1, 3, 1, 2, 2, 4, 1, 1, 4, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 0, 1, 3, 4, 1, 4, 4, 0, 0, 3, 4, 0, 2, 0, 1, 3, 4, 4, 0, 4, 2, 2, 2, 0, 4, 4, 4, 4, 3, 4, 2, 3, 0, 0, 3, 0, 0, 3, 2, 3, 3, 4, 2, 2, 4, 1, 0, 1, 4, 2, 0, 0, 2, 0, 3, 4, 2, 1, 1, 3, 4, 3, 1, 4, 3, 2, 3, 3, 3, 1, 1, 1, 4, 0, 1, 3, 1, 0, 4, 1, 3, 2, 1, 2, 0, 0, 2, 4, 2, 2, 1, 3, 2, 2, 0, 3, 0, 2, 3, 3, 4, 3, 0, 1, 1, 4, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 3, 2, 0, 0, 1, 0, 2, 2, 4, 3, 2, 4, 0, 0, 4, 0, 0, 1, 0, 3, 1, 0, 1, 1, 0, 4, 1, 4, 1, 1, 0, 3, 4, 0, 3, 3, 3, 3, 2, 2, 3, 0, 2, 0, 0, 3, 3, 2, 1, 0, 2, 1, 0, 1, 4, 4, 4, 2, 4, 0, 3, 0, 2, 4, 1, 3, 2, 3, 3, 0, 2, 4, 2, 3, 4, 3, 2, 0, 2, 1, 4, 0, 2, 0, 4, 0, 0, 2, 4, 3, 2, 2, 3, 1, 2, 3, 0, 2, 4, 0, 0, 2, 0, 4, 2, 2, 0, 1, 0, 2, 1, 2, 3, 3, 0, 4, 4, 2, 3, 4, 4, 2, 4, 3, 1, 1, 4, 3, 3, 4, 3, 2, 0, 3, 2, 0, 4, 0, 4, 1, 4, 2, 2, 0, 3, 3, 3, 4, 2, 0, 2, 1, 4, 2, 4, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 3, 4, 3, 3, 3, 2, 0, 1, 2, 0, 3, 2, 0, 4, 1, 0, 4, 4, 4, 0, 1, 3, 1, 2, 0, 4, 3, 2, 2, 0, 1, 4, 1, 3, 0, 1, 4, 4, 1, 3, 0, 1, 2, 1, 4, 4, 0, 4, 2, 2, 1, 2, 0, 2, 4, 4, 4, 2, 4, 3, 0, 2, 1, 0, 4, 1, 2, 2, 1, 2]
pubkeycol505 = [2, 1, 0, 3, 0, 2, 1, 3, 3, 1, 1, 2, 0, 0, 4, 2, 2, 0, 4, 3, 1, 3, 2, 3, 0, 4, 0, 2, 2, 3, 0, 0, 3, 3, 3, 0, 0, 1, 4, 3, 1, 4, 3, 3, 0, 0, 0, 3, 1, 2, 0, 1, 1, 4, 1, 1, 0, 3, 4, 4, 3, 0, 2, 0, 0, 1, 4, 3, 0, 3, 2, 3, 2, 0, 2, 2, 0, 4, 3, 0, 2, 1, 3, 4, 0, 2, 2, 0, 3, 4, 2, 1, 1, 4, 1, 1, 2, 0, 2, 0, 4, 2, 0, 4, 4, 3, 1, 0, 4, 2, 3, 2, 0, 3, 3, 0, 2, 0, 0, 4, 2, 4, 0, 1, 3, 2, 0, 0, 1, 2, 1, 4, 2, 1, 4, 1, 3, 4, 0, 2, 2, 2, 4, 3, 1, 1, 2, 3, 1, 4, 1, 1, 0, 1, 0, 1, 0, 2, 3, 2, 1, 3, 3, 0, 4, 1, 0, 1, 0, 4, 1, 4, 2, 3, 3, 2, 1, 2, 1, 0, 2, 2, 1, 1, 4, 3, 2, 2, 1, 4, 2, 1, 2, 4, 2, 1, 3, 4, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 4, 0, 2, 0, 3, 2, 3, 3, 4, 2, 3, 3, 0, 3, 0, 0, 0, 1, 0, 4, 3, 0, 3, 2, 1, 0, 2, 3, 3, 3, 1, 4, 3, 3, 0, 3, 1, 0, 1, 0, 4, 1, 1, 2, 4, 4, 4, 4, 0, 0, 1, 4, 4, 0, 3, 2, 0, 1, 4, 1, 0, 3, 3, 1, 4, 2, 1, 2, 2, 3, 2, 2, 3, 1, 3, 2, 2, 2, 4, 3, 3, 2, 0, 2, 2, 3, 0, 3, 1, 3, 3, 2, 0, 0, 1, 3, 1, 0, 2, 1, 0, 2, 0, 0, 3, 0, 2, 4, 4, 4, 3, 0, 1, 2, 3, 1, 0, 0, 3, 0, 3, 2, 1, 2, 0, 3, 0, 4, 1, 3, 1, 2, 4, 4, 4, 3, 3, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 4, 4, 3, 3, 2, 1, 1, 4, 3, 3, 0, 1, 2, 4, 4, 0, 0, 4, 2, 0, 2, 2, 2, 4, 2, 4, 4, 3, 4, 3, 4, 3, 0, 1, 1, 0, 4, 4, 0, 2, 1, 3, 1, 1, 0]
pubkeycol506 = [4, 0, 2, 2, 1, 3, 3, 4, 2, 2, 4, 0, 2, 0, 1, 0, 0, 1, 3, 4, 4, 4, 2, 0, 3, 3, 3, 2, 3, 2, 2, 1, 0, 1, 3, 0, 4, 0, 0, 4, 3, 0, 0, 0, 1, 0, 1, 0, 4, 1, 4, 1, 1, 4, 3, 3, 3, 0, 3, 3, 3, 0, 1, 3, 1, 3, 4, 3, 2, 2, 0, 0, 2, 3, 3, 4, 1, 2, 3, 4, 3, 2, 2, 2, 0, 1, 4, 0, 3, 3, 0, 3, 0, 1, 4, 3, 4, 0, 0, 4, 4, 2, 3, 4, 3, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 4, 1, 1, 2, 3, 2, 0, 1, 4, 0, 0, 1, 0, 2, 0, 3, 4, 2, 2, 1, 3, 0, 4, 3, 3, 4, 3, 3, 1, 4, 1, 2, 1, 3, 4, 1, 3, 0, 1, 4, 4, 4, 2, 0, 3, 2, 4, 2, 3, 3, 4, 4, 3, 2, 0, 3, 0, 2, 0, 3, 2, 2, 4, 0, 2, 1, 2, 3, 0, 2, 4, 3, 4, 0, 2, 4, 4, 4, 0, 0, 2, 2, 3, 3, 3, 0, 1, 2, 2, 4, 2, 3, 0, 1, 0, 2, 4, 1, 3, 1, 3, 4, 1, 4, 2, 0, 4, 4, 2, 4, 0, 3, 0, 2, 1, 0, 0, 4, 3, 4, 3, 0, 1, 3, 2, 0, 4, 0, 2, 3, 0, 1, 2, 3, 4, 2, 0, 0, 2, 4, 1, 1, 2, 4, 2, 3, 0, 0, 0, 1, 2, 1, 4, 1, 3, 3, 3, 1, 4, 4, 3, 2, 3, 1, 2, 2, 0, 1, 2, 2, 1, 4, 4, 1, 0, 2, 4, 0, 2, 2, 0, 4, 4, 0, 4, 4, 3, 1, 4, 2, 3, 3, 2, 0, 1, 2, 2, 1, 1, 4, 3, 2, 1, 0, 0, 0, 0, 2, 1, 2, 4, 1, 4, 3, 0, 4, 3, 1, 0, 1, 1, 1, 2, 0, 3, 0, 1, 1, 0, 0, 4, 3, 2, 2, 4, 1, 0, 4, 4, 2, 3, 2, 0, 4, 3, 0, 1, 4, 0, 0, 2, 3, 1, 0, 0, 4, 1, 4, 2, 4, 4, 0, 2, 2, 3, 1, 2, 0, 1, 4, 4, 2, 1, 3, 1, 4, 0, 1, 4, 2, 4, 4]
pubkeycol507 = [1, 0, 4, 2, 2, 4, 0, 2, 4, 3, 1, 0, 2, 3, 4, 2, 4, 2, 3, 1, 3, 3, 4, 1, 3, 4, 3, 2, 3, 0, 4, 3, 2, 2, 3, 0, 0, 4, 1, 0, 0, 1, 2, 1, 2, 1, 3, 3, 3, 1, 4, 4, 4, 0, 3, 4, 4, 4, 1, 3, 4, 0, 4, 1, 1, 2, 2, 4, 4, 0, 1, 1, 3, 2, 1, 3, 2, 2, 0, 0, 2, 2, 3, 4, 4, 4, 1, 0, 2, 0, 0, 1, 2, 1, 1, 4, 3, 0, 1, 0, 0, 4, 1, 3, 4, 0, 0, 4, 4, 3, 1, 4, 4, 4, 2, 4, 1, 1, 1, 0, 3, 3, 3, 3, 2, 1, 2, 4, 4, 3, 1, 2, 3, 1, 4, 2, 0, 4, 4, 4, 3, 1, 4, 4, 3, 1, 4, 1, 2, 0, 3, 3, 3, 1, 4, 2, 0, 1, 3, 0, 3, 3, 2, 0, 4, 3, 0, 2, 2, 2, 0, 2, 2, 4, 3, 1, 0, 4, 4, 3, 1, 2, 4, 4, 2, 3, 1, 1, 2, 3, 3, 3, 0, 2, 3, 4, 0, 4, 2, 2, 3, 3, 0, 3, 2, 3, 0, 1, 1, 3, 0, 1, 4, 0, 4, 2, 4, 3, 3, 2, 3, 2, 2, 1, 4, 2, 2, 1, 0, 2, 1, 2, 0, 1, 3, 1, 1, 2, 2, 4, 4, 2, 1, 3, 1, 4, 1, 4, 2, 0, 1, 2, 1, 0, 4, 3, 4, 4, 1, 3, 3, 1, 4, 3, 1, 0, 2, 1, 4, 2, 0, 4, 2, 2, 0, 4, 1, 2, 4, 4, 1, 2, 0, 3, 4, 2, 4, 2, 2, 0, 4, 3, 0, 0, 2, 4, 4, 3, 4, 0, 3, 2, 3, 3, 4, 1, 4, 0, 4, 4, 2, 3, 2, 3, 0, 2, 2, 4, 3, 3, 4, 0, 3, 3, 2, 2, 0, 0, 2, 2, 2, 1, 3, 0, 3, 3, 2, 4, 1, 1, 1, 1, 0, 3, 4, 3, 2, 2, 2, 0, 3, 3, 3, 3, 2, 4, 4, 2, 1, 2, 1, 4, 3, 3, 0, 4, 3, 2, 1, 1, 2, 4, 1, 0, 0, 2, 1, 2, 3, 3, 1, 4, 4, 2, 3, 0, 2, 4, 4, 4, 1, 2, 1, 0, 0, 1, 0, 1, 3, 0]
pubkeycol508 = [0, 1, 1, 3, 2, 1, 1, 3, 1, 4, 2, 3, 3, 1, 4, 1, 0, 1, 1, 1, 3, 4, 2, 4, 3, 0, 3, 2, 1, 0, 3, 2, 0, 2, 4, 2, 0, 2, 3, 3, 4, 0, 0, 2, 2, 4, 3, 4, 4, 3, 1, 0, 3, 4, 1, 1, 2, 1, 2, 2, 1, 0, 4, 3, 0, 2, 4, 2, 1, 1, 0, 1, 3, 2, 0, 4, 3, 0, 4, 1, 4, 0, 4, 3, 2, 3, 0, 2, 4, 3, 0, 4, 2, 4, 0, 1, 0, 3, 3, 1, 3, 3, 1, 3, 1, 4, 3, 4, 1, 1, 4, 3, 3, 1, 2, 1, 1, 3, 2, 2, 0, 0, 0, 0, 4, 3, 1, 2, 1, 4, 2, 0, 2, 0, 0, 3, 2, 3, 0, 3, 2, 4, 3, 0, 0, 3, 4, 1, 2, 4, 3, 3, 4, 2, 0, 2, 2, 1, 3, 0, 4, 3, 1, 1, 1, 3, 0, 2, 0, 2, 3, 1, 2, 2, 0, 1, 2, 2, 3, 3, 2, 1, 1, 2, 3, 0, 4, 1, 0, 2, 1, 4, 0, 4, 1, 0, 3, 1, 1, 1, 1, 2, 2, 4, 1, 4, 1, 1, 3, 1, 3, 1, 2, 0, 1, 1, 2, 4, 2, 0, 2, 0, 1, 2, 2, 2, 4, 0, 4, 0, 1, 0, 4, 2, 1, 2, 4, 0, 3, 3, 0, 1, 3, 0, 3, 3, 3, 0, 0, 1, 4, 2, 2, 1, 4, 1, 3, 2, 0, 4, 0, 2, 2, 2, 4, 0, 4, 3, 1, 2, 3, 2, 0, 0, 4, 3, 1, 1, 2, 1, 1, 0, 2, 4, 0, 4, 0, 0, 1, 0, 1, 2, 3, 0, 1, 1, 2, 2, 0, 0, 2, 3, 4, 3, 0, 1, 2, 4, 0, 3, 4, 4, 4, 1, 4, 0, 1, 3, 0, 1, 3, 0, 3, 0, 4, 2, 2, 3, 3, 3, 4, 2, 1, 1, 1, 0, 2, 1, 1, 2, 3, 2, 2, 0, 1, 1, 2, 0, 0, 3, 0, 1, 4, 3, 0, 2, 0, 4, 3, 2, 3, 4, 0, 0, 3, 1, 0, 1, 2, 1, 1, 3, 4, 3, 0, 0, 0, 0, 3, 0, 1, 3, 2, 2, 3, 4, 2, 1, 0, 0, 1, 1, 3, 3, 1, 4, 1, 1, 2, 2]
pubkeycol509 = [4, 0, 2, 1, 4, 1, 2, 1, 2, 2, 2, 4, 3, 2, 3, 2, 2, 1, 2, 0, 3, 4, 1, 4, 0, 1, 3, 2, 4, 3, 1, 0, 0, 3, 4, 2, 4, 2, 1, 2, 3, 4, 2, 1, 4, 0, 0, 2, 1, 3, 2, 3, 3, 4, 1, 4, 4, 2, 0, 4, 1, 0, 1, 1, 2, 0, 0, 3, 1, 3, 2, 0, 1, 3, 4, 1, 4, 3, 0, 3, 1, 2, 2, 3, 4, 1, 1, 0, 4, 0, 0, 2, 4, 3, 1, 2, 1, 4, 3, 2, 2, 4, 4, 3, 4, 3, 1, 2, 0, 3, 1, 1, 4, 0, 2, 4, 0, 1, 4, 0, 2, 3, 1, 1, 2, 3, 4, 1, 4, 3, 3, 3, 3, 0, 3, 2, 3, 2, 2, 3, 0, 3, 0, 2, 3, 3, 3, 0, 3, 3, 3, 0, 3, 2, 0, 4, 2, 0, 2, 3, 4, 3, 1, 2, 2, 4, 0, 2, 1, 1, 3, 0, 2, 0, 4, 1, 1, 4, 3, 0, 1, 2, 3, 0, 3, 3, 3, 2, 4, 4, 4, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 4, 3, 3, 2, 2, 2, 4, 4, 0, 1, 4, 3, 0, 4, 2, 1, 0, 3, 1, 4, 4, 0, 1, 3, 2, 4, 1, 2, 4, 1, 3, 1, 3, 1, 4, 0, 0, 2, 2, 4, 2, 4, 0, 0, 0, 0, 2, 1, 4, 4, 3, 3, 2, 1, 4, 1, 0, 2, 3, 3, 3, 4, 1, 0, 2, 1, 2, 4, 0, 3, 3, 0, 0, 4, 2, 3, 3, 2, 1, 3, 4, 4, 2, 0, 3, 4, 3, 3, 2, 4, 0, 1, 0, 0, 0, 4, 4, 3, 4, 1, 2, 4, 1, 1, 0, 3, 4, 0, 0, 3, 2, 2, 4, 3, 4, 1, 1, 4, 4, 0, 1, 2, 3, 1, 3, 2, 2, 1, 1, 2, 3, 4, 0, 4, 4, 3, 1, 4, 4, 1, 0, 3, 2, 1, 4, 3, 2, 4, 4, 4, 0, 4, 1, 3, 4, 1, 0, 2, 1, 2, 2, 4, 1, 1, 1, 2, 4, 0, 4, 0, 2, 1, 0, 2, 3, 3, 4, 1, 4, 0, 0, 1, 0, 0, 3, 4, 2, 0, 2, 2, 2, 2, 1, 2, 0, 4, 2, 3, 4]
pubkeycol510 = [1, 2, 3, 4, 0, 4, 3, 3, 1, 2, 0, 0, 3, 0, 0, 2, 2, 2, 3, 1, 2, 4, 4, 0, 2, 4, 2, 4, 1, 2, 3, 4, 1, 1, 3, 0, 0, 0, 1, 1, 3, 4, 2, 1, 3, 1, 3, 4, 0, 3, 3, 3, 0, 0, 4, 2, 4, 3, 1, 3, 1, 1, 3, 3, 2, 4, 1, 4, 4, 0, 2, 3, 0, 0, 3, 1, 4, 4, 2, 1, 2, 0, 3, 2, 3, 1, 1, 3, 3, 4, 0, 4, 1, 3, 3, 1, 0, 4, 4, 4, 3, 1, 2, 1, 3, 3, 3, 2, 2, 2, 4, 2, 2, 2, 1, 0, 4, 4, 3, 2, 3, 0, 3, 4, 2, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 4, 3, 0, 4, 3, 4, 2, 0, 4, 2, 0, 2, 4, 3, 0, 1, 1, 2, 0, 4, 2, 3, 3, 1, 1, 3, 3, 4, 4, 1, 3, 0, 2, 4, 4, 0, 0, 1, 3, 3, 3, 4, 2, 0, 0, 2, 1, 2, 0, 3, 4, 0, 2, 0, 3, 1, 2, 0, 3, 0, 1, 0, 3, 2, 4, 4, 2, 4, 1, 4, 4, 4, 2, 3, 2, 4, 1, 3, 4, 4, 0, 2, 0, 1, 4, 3, 3, 4, 0, 1, 1, 4, 0, 1, 2, 4, 4, 2, 3, 4, 3, 1, 0, 2, 4, 0, 4, 1, 4, 0, 4, 2, 3, 0, 3, 3, 2, 1, 3, 1, 3, 1, 3, 4, 3, 4, 1, 2, 3, 0, 2, 2, 2, 1, 2, 2, 3, 4, 4, 4, 4, 1, 0, 0, 4, 0, 0, 4, 1, 0, 3, 1, 3, 2, 3, 3, 4, 4, 1, 1, 1, 4, 3, 0, 2, 2, 0, 1, 2, 0, 3, 0, 3, 0, 4, 2, 1, 4, 2, 1, 0, 4, 3, 3, 2, 4, 3, 2, 3, 3, 2, 1, 0, 2, 4, 4, 4, 0, 0, 3, 0, 1, 2, 4, 3, 4, 3, 0, 3, 4, 2, 3, 3, 2, 0, 2, 2, 2, 0, 2, 2, 3, 4, 2, 2, 3, 0, 3, 4, 1, 0, 2, 1, 0, 0, 4, 4, 1, 2, 0, 1, 2, 1, 3, 0, 2, 0, 3, 4, 1, 3, 3, 2, 3, 1, 4, 2, 1, 4, 1, 4, 0, 4, 1]
pubkeycol511 = [2, 2, 4, 0, 1, 1, 4, 1, 1, 4, 2, 2, 3, 1, 3, 3, 0, 2, 2, 3, 2, 1, 4, 1, 3, 0, 0, 3, 4, 2, 0, 4, 3, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 3, 1, 0, 4, 4, 1, 3, 4, 0, 1, 0, 4, 3, 1, 0, 2, 3, 2, 1, 3, 3, 4, 0, 3, 2, 4, 0, 4, 2, 4, 1, 0, 3, 4, 4, 3, 4, 0, 3, 3, 1, 0, 1, 1, 1, 3, 3, 2, 3, 0, 4, 4, 1, 0, 3, 3, 4, 1, 4, 1, 4, 2, 4, 3, 3, 4, 2, 4, 4, 1, 4, 2, 2, 4, 4, 1, 1, 4, 4, 4, 1, 1, 4, 2, 4, 0, 1, 4, 4, 4, 4, 3, 4, 0, 2, 0, 2, 2, 3, 2, 3, 2, 2, 3, 1, 2, 3, 0, 2, 0, 2, 0, 0, 4, 1, 3, 3, 2, 1, 4, 1, 4, 2, 3, 2, 0, 1, 3, 0, 4, 0, 4, 4, 2, 0, 1, 2, 3, 1, 2, 0, 3, 3, 2, 1, 0, 4, 4, 1, 2, 1, 2, 1, 3, 1, 0, 0, 0, 1, 3, 1, 1, 3, 2, 0, 2, 2, 2, 3, 0, 2, 1, 3, 4, 4, 4, 1, 0, 2, 0, 3, 4, 1, 3, 1, 0, 0, 2, 4, 1, 3, 4, 4, 1, 4, 4, 0, 1, 0, 1, 1, 4, 1, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 3, 3, 3, 1, 0, 0, 4, 3, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 4, 1, 4, 0, 4, 0, 0, 3, 2, 4, 4, 0, 0, 4, 2, 3, 3, 1, 1, 1, 4, 3, 1, 1, 2, 2, 2, 3, 0, 1, 4, 1, 0, 3, 1, 4, 4, 2, 2, 0, 4, 3, 0, 0, 2, 4, 1, 2, 0, 3, 1, 1, 0, 2, 3, 4, 1, 2, 3, 1, 4, 3, 1, 4, 4, 4, 1, 0, 4, 3, 4, 3, 3, 3, 0, 1, 1, 2, 2, 0, 3, 3, 4, 1, 4, 2, 4, 4, 1, 0, 4, 0, 2, 1, 3, 3, 3, 2, 2, 4, 3, 4, 0, 4, 1, 0, 2, 4, 0, 1, 1, 1, 0, 3, 0, 0, 3]
pubkeycol512 = [4, 3, 0, 2, 1, 4, 1, 2, 1, 2, 3, 2, 2, 0, 0, 3, 4, 3, 2, 2, 0, 2, 3, 1, 3, 3, 2, 2, 1, 2, 3, 3, 4, 0, 3, 1, 3, 2, 4, 3, 1, 2, 4, 0, 4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 4, 4, 4, 1, 0, 0, 0, 4, 4, 1, 4, 0, 2, 3, 2, 0, 1, 1, 0, 1, 2, 2, 4, 2, 1, 0, 1, 0, 3, 2, 0, 3, 1, 2, 2, 3, 3, 1, 1, 4, 0, 4, 0, 1, 2, 0, 4, 3, 1, 0, 0, 1, 4, 4, 2, 2, 2, 4, 3, 0, 1, 4, 4, 2, 3, 1, 3, 0, 3, 3, 2, 0, 2, 4, 3, 2, 0, 4, 0, 1, 0, 3, 3, 4, 0, 2, 2, 1, 4, 0, 0, 1, 3, 3, 3, 0, 4, 1, 4, 4, 3, 2, 4, 0, 2, 3, 3, 4, 4, 3, 3, 3, 0, 2, 0, 4, 1, 3, 2, 3, 3, 0, 2, 4, 4, 3, 0, 0, 4, 2, 3, 1, 0, 4, 4, 3, 3, 2, 4, 3, 3, 4, 0, 1, 3, 1, 0, 1, 0, 0, 0, 4, 2, 2, 1, 2, 1, 1, 3, 3, 0, 4, 4, 3, 3, 3, 3, 4, 2, 2, 1, 3, 3, 2, 3, 1, 1, 1, 3, 3, 1, 1, 4, 1, 4, 1, 0, 2, 2, 4, 1, 0, 2, 4, 2, 4, 2, 2, 4, 0, 1, 2, 1, 1, 1, 1, 2, 4, 3, 0, 2, 3, 2, 2, 3, 3, 2, 2, 0, 3, 1, 4, 2, 3, 3, 1, 0, 3, 3, 1, 1, 1, 3, 2, 1, 0, 4, 0, 2, 0, 0, 4, 1, 1, 1, 0, 4, 1, 4, 2, 0, 3, 4, 4, 4, 2, 4, 1, 3, 2, 2, 3, 2, 4, 2, 0, 1, 1, 0, 3, 3, 4, 2, 4, 4, 1, 2, 2, 1, 2, 0, 2, 3, 0, 0, 0, 0, 1, 1, 0, 0, 3, 4, 2, 2, 2, 0, 3, 4, 3, 0, 3, 3, 2, 2, 2, 0, 0, 2, 4, 0, 3, 1, 1, 3, 2, 1, 1, 4, 0, 3, 4, 4, 3, 0, 3, 0, 2, 1, 3, 3, 3, 3, 4, 1, 0, 2, 2, 3, 3, 3, 3, 1, 4, 2, 4]
pubkeycol513 = [0, 2, 2, 4, 2, 0, 0, 2, 1, 4, 3, 0, 0, 4, 1, 3, 0, 3, 0, 0, 1, 1, 4, 0, 2, 3, 0, 1, 2, 2, 1, 4, 2, 0, 4, 2, 0, 4, 1, 4, 4, 4, 4, 1, 4, 4, 2, 1, 2, 2, 4, 0, 2, 2, 2, 4, 2, 2, 0, 1, 0, 1, 4, 1, 4, 1, 4, 1, 2, 0, 2, 1, 4, 0, 3, 4, 0, 3, 0, 1, 2, 3, 3, 1, 3, 3, 2, 0, 1, 4, 0, 1, 4, 4, 1, 4, 3, 1, 2, 4, 4, 1, 3, 2, 0, 3, 4, 2, 1, 1, 3, 3, 1, 2, 3, 3, 2, 3, 4, 0, 4, 1, 3, 2, 2, 4, 4, 2, 0, 0, 1, 4, 3, 3, 3, 0, 3, 0, 4, 2, 3, 4, 0, 0, 0, 0, 4, 3, 0, 2, 4, 4, 1, 0, 3, 1, 0, 4, 2, 3, 2, 4, 0, 4, 1, 3, 2, 2, 3, 4, 2, 0, 0, 1, 2, 0, 2, 3, 3, 4, 4, 3, 4, 1, 0, 3, 0, 0, 0, 0, 0, 4, 2, 3, 3, 3, 4, 0, 3, 4, 1, 2, 3, 4, 3, 0, 0, 4, 3, 2, 4, 0, 0, 2, 0, 4, 0, 4, 2, 4, 4, 3, 2, 3, 2, 2, 0, 1, 4, 0, 0, 2, 4, 2, 0, 3, 3, 2, 2, 0, 1, 2, 3, 2, 4, 4, 0, 1, 3, 3, 4, 3, 2, 1, 4, 1, 3, 1, 4, 1, 1, 2, 2, 1, 0, 2, 3, 0, 0, 3, 0, 1, 3, 1, 3, 1, 2, 0, 0, 1, 4, 4, 4, 4, 2, 2, 0, 4, 0, 4, 3, 3, 0, 1, 3, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 4, 0, 4, 2, 2, 1, 2, 4, 0, 1, 2, 2, 2, 4, 2, 3, 0, 3, 1, 1, 0, 1, 1, 2, 3, 0, 3, 2, 0, 0, 1, 1, 1, 4, 3, 1, 1, 4, 3, 4, 2, 2, 1, 1, 3, 2, 2, 1, 3, 0, 1, 1, 2, 2, 3, 3, 1, 0, 2, 2, 1, 0, 3, 0, 1, 4, 0, 4, 1, 0, 3, 2, 4, 3, 4, 0, 1, 2, 2, 3, 2, 4, 3, 0, 0, 1, 4, 1, 2, 3, 2, 0, 3]
pubkeycol514 = [0, 2, 0, 4, 0, 3, 4, 0, 0, 3, 2, 0, 0, 3, 3, 2, 1, 1, 3, 1, 3, 0, 3, 2, 4, 1, 2, 0, 2, 3, 0, 4, 2, 1, 1, 2, 4, 4, 3, 1, 2, 2, 0, 0, 3, 0, 4, 3, 3, 4, 4, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 3, 0, 1, 3, 4, 4, 3, 4, 1, 3, 4, 1, 4, 4, 3, 0, 2, 1, 0, 3, 0, 0, 2, 2, 1, 4, 4, 2, 2, 1, 4, 3, 4, 1, 1, 1, 1, 1, 0, 3, 1, 4, 3, 4, 2, 3, 1, 3, 0, 3, 4, 1, 1, 3, 2, 3, 4, 3, 0, 3, 4, 3, 4, 0, 1, 0, 2, 3, 4, 4, 1, 4, 1, 4, 3, 0, 1, 1, 1, 3, 1, 2, 4, 1, 0, 0, 1, 2, 1, 4, 0, 1, 4, 3, 4, 1, 0, 1, 1, 1, 3, 2, 3, 2, 0, 0, 4, 4, 1, 2, 4, 4, 1, 2, 3, 4, 1, 1, 2, 4, 2, 2, 1, 0, 1, 0, 4, 4, 2, 4, 0, 1, 4, 0, 3, 1, 4, 4, 4, 2, 3, 3, 1, 0, 4, 4, 1, 1, 1, 1, 3, 0, 0, 0, 3, 2, 4, 4, 3, 3, 1, 3, 0, 0, 0, 1, 2, 3, 3, 3, 1, 3, 4, 1, 1, 0, 2, 2, 4, 1, 3, 1, 2, 3, 4, 2, 0, 4, 3, 2, 4, 3, 4, 4, 0, 0, 3, 3, 3, 1, 3, 1, 2, 1, 0, 2, 2, 4, 3, 1, 3, 3, 3, 3, 3, 0, 4, 0, 2, 0, 3, 0, 4, 0, 3, 1, 3, 2, 2, 0, 3, 1, 2, 3, 0, 0, 2, 0, 3, 2, 3, 2, 4, 0, 0, 1, 4, 2, 3, 3, 1, 4, 3, 0, 2, 1, 2, 2, 2, 0, 3, 1, 3, 0, 2, 0, 1, 2, 4, 0, 1, 2, 1, 4, 3, 0, 1, 0, 4, 3, 4, 2, 3, 3, 4, 3, 0, 4, 0, 1, 3, 3, 0, 2, 1, 4, 4, 0, 2, 2, 4, 2, 4, 1, 4, 4, 3, 3, 4, 1, 2, 0, 0, 1, 3, 4, 1, 3, 4, 2, 1, 4, 3, 4, 0, 0, 3, 4, 0, 1, 2, 4, 0, 4, 2, 4, 2]
pubkeycol515 = [3, 1, 3, 3, 1, 2, 4, 3, 2, 1, 0, 2, 0, 0, 0, 4, 3, 0, 0, 1, 2, 1, 1, 0, 1, 3, 2, 1, 3, 0, 4, 1, 4, 4, 4, 2, 1, 2, 1, 0, 1, 4, 3, 3, 3, 0, 4, 0, 0, 3, 0, 0, 1, 4, 3, 2, 4, 4, 4, 3, 0, 2, 4, 4, 0, 2, 4, 3, 0, 4, 0, 4, 2, 2, 1, 4, 3, 2, 2, 4, 2, 3, 0, 2, 2, 2, 2, 4, 3, 0, 1, 0, 4, 4, 2, 3, 0, 1, 3, 1, 2, 1, 2, 0, 3, 2, 0, 3, 4, 0, 1, 3, 1, 3, 4, 1, 3, 2, 3, 3, 4, 4, 4, 4, 4, 3, 2, 3, 3, 1, 1, 0, 4, 1, 1, 4, 1, 4, 3, 4, 4, 3, 0, 1, 0, 4, 2, 2, 4, 3, 4, 1, 2, 3, 3, 1, 0, 4, 0, 4, 3, 4, 0, 0, 3, 0, 1, 2, 4, 3, 0, 2, 2, 3, 1, 1, 0, 0, 3, 0, 4, 4, 0, 0, 0, 0, 3, 3, 2, 4, 4, 4, 1, 4, 4, 1, 0, 0, 0, 0, 4, 2, 4, 4, 3, 2, 2, 3, 1, 4, 2, 2, 2, 0, 4, 1, 2, 1, 4, 3, 0, 3, 2, 4, 3, 1, 4, 1, 0, 3, 4, 0, 1, 3, 3, 4, 2, 4, 2, 4, 4, 2, 3, 2, 4, 4, 3, 1, 2, 4, 2, 1, 4, 2, 0, 3, 0, 1, 0, 2, 1, 3, 0, 2, 2, 4, 0, 1, 2, 4, 3, 4, 0, 1, 2, 1, 1, 4, 4, 0, 1, 1, 1, 3, 3, 0, 3, 0, 1, 2, 4, 2, 0, 2, 4, 0, 0, 3, 0, 0, 2, 0, 3, 4, 1, 2, 4, 1, 1, 3, 1, 3, 1, 4, 0, 0, 0, 3, 4, 2, 1, 4, 4, 1, 0, 1, 2, 1, 1, 3, 0, 1, 2, 4, 3, 0, 3, 1, 2, 1, 3, 4, 0, 4, 3, 3, 2, 2, 3, 2, 4, 2, 1, 4, 2, 1, 1, 0, 0, 3, 0, 1, 1, 2, 1, 1, 1, 3, 2, 0, 3, 3, 3, 2, 4, 4, 2, 4, 3, 1, 4, 2, 4, 1, 1, 0, 1, 2, 1, 3, 0, 1, 2, 2, 3, 3, 4, 1, 1, 0]
pubkeycol516 = [0, 4, 0, 3, 1, 0, 4, 1, 2, 2, 3, 2, 2, 4, 2, 2, 3, 0, 0, 2, 3, 4, 0, 4, 2, 2, 2, 0, 1, 2, 3, 0, 1, 0, 3, 1, 1, 4, 3, 2, 0, 1, 2, 3, 4, 3, 1, 2, 4, 3, 1, 1, 1, 3, 3, 2, 3, 4, 1, 0, 0, 4, 0, 3, 4, 2, 4, 1, 2, 4, 2, 1, 4, 1, 1, 2, 1, 1, 0, 3, 2, 3, 2, 2, 0, 2, 3, 2, 2, 4, 0, 3, 1, 1, 0, 4, 0, 4, 2, 4, 4, 3, 2, 2, 3, 4, 2, 1, 3, 3, 1, 3, 3, 4, 3, 2, 4, 4, 0, 0, 1, 3, 0, 1, 0, 4, 2, 4, 1, 2, 4, 2, 1, 1, 1, 0, 0, 2, 0, 4, 2, 1, 3, 2, 1, 0, 1, 4, 3, 4, 2, 0, 2, 1, 4, 4, 0, 0, 3, 2, 3, 1, 0, 4, 4, 3, 2, 0, 0, 2, 2, 3, 0, 1, 2, 0, 1, 4, 4, 1, 1, 4, 3, 1, 1, 1, 2, 0, 4, 3, 4, 2, 1, 0, 0, 4, 0, 0, 2, 4, 1, 2, 1, 4, 2, 4, 2, 3, 1, 4, 3, 2, 3, 4, 1, 1, 2, 0, 4, 1, 2, 0, 0, 3, 3, 4, 0, 3, 0, 2, 3, 1, 0, 1, 3, 0, 2, 2, 2, 3, 3, 2, 3, 0, 4, 4, 1, 0, 1, 3, 4, 4, 4, 3, 0, 3, 2, 2, 2, 4, 3, 0, 4, 2, 4, 2, 2, 1, 3, 0, 2, 3, 4, 3, 3, 0, 2, 2, 3, 3, 0, 4, 4, 2, 4, 3, 1, 0, 3, 2, 0, 0, 2, 1, 4, 2, 1, 3, 0, 2, 3, 4, 3, 1, 1, 1, 3, 2, 0, 2, 3, 4, 2, 3, 2, 0, 1, 2, 0, 1, 2, 1, 3, 0, 0, 2, 0, 0, 2, 4, 2, 4, 0, 3, 1, 0, 0, 1, 3, 3, 0, 0, 4, 0, 0, 1, 2, 4, 0, 3, 4, 0, 4, 0, 4, 0, 3, 3, 3, 3, 4, 4, 0, 2, 1, 2, 2, 1, 1, 4, 4, 1, 2, 0, 1, 3, 1, 0, 4, 0, 0, 4, 0, 4, 1, 3, 1, 0, 4, 3, 3, 2, 2, 2, 3, 4, 0, 2, 1, 0]
pubkeycol517 = [4, 3, 3, 1, 0, 1, 4, 2, 1, 0, 4, 4, 1, 3, 2, 0, 1, 3, 3, 2, 4, 0, 3, 2, 0, 2, 3, 4, 4, 4, 2, 2, 2, 4, 3, 1, 4, 0, 4, 3, 1, 1, 1, 4, 3, 3, 0, 4, 4, 1, 0, 1, 2, 4, 0, 4, 3, 2, 2, 4, 2, 4, 2, 0, 2, 0, 0, 4, 4, 2, 0, 4, 0, 1, 2, 2, 3, 1, 2, 1, 4, 1, 1, 4, 0, 1, 1, 2, 3, 0, 2, 4, 0, 4, 2, 1, 0, 0, 2, 0, 3, 0, 1, 4, 3, 3, 1, 1, 1, 4, 0, 0, 3, 2, 0, 3, 3, 0, 0, 0, 4, 4, 3, 3, 2, 1, 1, 4, 2, 1, 4, 1, 3, 3, 0, 1, 3, 2, 1, 2, 2, 0, 3, 2, 1, 2, 2, 3, 4, 4, 1, 3, 1, 4, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 3, 1, 0, 0, 0, 0, 3, 2, 1, 3, 3, 0, 3, 2, 3, 3, 0, 0, 2, 4, 2, 0, 2, 0, 0, 4, 1, 3, 1, 0, 0, 1, 1, 0, 4, 3, 4, 3, 4, 1, 1, 2, 0, 3, 3, 0, 4, 0, 4, 4, 0, 1, 1, 0, 0, 1, 4, 1, 4, 4, 4, 2, 1, 1, 3, 1, 3, 4, 4, 1, 4, 0, 1, 2, 1, 0, 3, 4, 2, 0, 0, 4, 3, 3, 3, 0, 1, 4, 0, 3, 2, 3, 2, 4, 3, 0, 4, 3, 4, 1, 4, 4, 1, 4, 0, 2, 3, 2, 0, 1, 1, 2, 2, 4, 2, 2, 2, 3, 3, 4, 3, 4, 4, 0, 3, 2, 2, 1, 2, 0, 1, 1, 2, 1, 4, 3, 0, 1, 4, 2, 1, 0, 0, 2, 3, 1, 1, 2, 0, 0, 3, 1, 1, 4, 4, 4, 3, 3, 1, 1, 2, 0, 2, 4, 2, 3, 3, 3, 0, 4, 3, 3, 2, 3, 0, 2, 2, 0, 1, 2, 4, 1, 0, 4, 3, 4, 3, 1, 2, 2, 1, 1, 1, 3, 1, 2, 4, 0, 1, 1, 1, 1, 1, 3, 1, 2, 4, 1, 4, 4, 0, 1, 3, 4, 0, 0, 3, 0, 1, 2, 3, 1, 2, 4, 1, 1, 0, 0, 1, 4, 1, 4, 0, 1, 1, 3]
pubkeycol518 = [2, 1, 4, 1, 0, 4, 4, 1, 2, 0, 2, 0, 4, 4, 0, 3, 3, 2, 2, 3, 1, 4, 0, 2, 2, 3, 2, 1, 3, 0, 1, 0, 2, 2, 3, 4, 2, 1, 0, 0, 3, 1, 3, 2, 2, 1, 4, 2, 2, 2, 0, 3, 4, 4, 1, 2, 4, 1, 0, 1, 1, 0, 2, 4, 3, 4, 1, 3, 1, 2, 4, 1, 3, 0, 3, 0, 1, 2, 0, 2, 3, 0, 3, 0, 3, 0, 4, 1, 2, 4, 3, 1, 1, 4, 2, 2, 0, 2, 4, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 4, 4, 3, 3, 3, 1, 3, 3, 2, 0, 4, 3, 2, 3, 3, 4, 2, 1, 2, 3, 1, 2, 0, 1, 0, 4, 4, 3, 2, 4, 0, 2, 2, 0, 1, 0, 0, 1, 4, 0, 2, 2, 3, 0, 4, 1, 0, 4, 1, 1, 2, 0, 4, 3, 3, 2, 0, 0, 3, 2, 1, 4, 4, 2, 0, 0, 4, 4, 1, 0, 1, 2, 4, 0, 4, 2, 3, 2, 2, 4, 0, 4, 0, 3, 1, 4, 4, 3, 1, 1, 3, 2, 2, 4, 4, 0, 4, 3, 3, 1, 3, 0, 3, 2, 0, 2, 1, 4, 4, 1, 3, 3, 2, 1, 0, 2, 2, 3, 1, 2, 4, 0, 0, 3, 4, 1, 3, 4, 0, 1, 4, 3, 2, 2, 1, 4, 1, 3, 3, 4, 3, 0, 4, 2, 0, 0, 1, 2, 3, 2, 3, 3, 1, 2, 2, 2, 2, 2, 4, 0, 3, 0, 1, 4, 4, 0, 0, 3, 4, 3, 4, 1, 1, 1, 4, 2, 1, 4, 2, 3, 4, 4, 1, 4, 0, 3, 1, 2, 1, 0, 4, 1, 3, 1, 3, 0, 0, 1, 2, 0, 3, 1, 2, 2, 1, 0, 1, 2, 0, 3, 3, 3, 1, 4, 3, 3, 0, 3, 3, 2, 2, 0, 0, 0, 0, 4, 3, 4, 3, 0, 1, 0, 0, 4, 3, 2, 4, 1, 2, 0, 3, 1, 2, 4, 4, 4, 0, 4, 4, 0, 4, 3, 0, 3, 3, 1, 4, 2, 1, 3, 0, 0, 3, 2, 0, 4, 2, 0, 2, 1, 3, 1, 1, 3, 3, 4, 3, 0, 2, 3, 1, 2, 4, 1, 0, 0, 2, 1, 2]
pubkeycol519 = [3, 3, 4, 0, 2, 1, 2, 4, 4, 1, 4, 2, 2, 3, 4, 1, 3, 0, 0, 4, 3, 0, 4, 0, 0, 4, 1, 3, 1, 0, 4, 3, 0, 2, 1, 1, 3, 4, 1, 2, 1, 1, 2, 4, 4, 2, 2, 2, 3, 1, 4, 3, 4, 1, 3, 1, 4, 4, 2, 0, 4, 2, 4, 0, 3, 0, 0, 0, 3, 0, 1, 3, 2, 0, 2, 1, 4, 4, 0, 0, 2, 0, 4, 3, 2, 4, 0, 2, 3, 4, 1, 3, 2, 2, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 4, 0, 2, 0, 2, 1, 1, 1, 3, 0, 3, 1, 1, 4, 3, 2, 0, 0, 1, 4, 0, 0, 2, 0, 3, 0, 2, 4, 4, 2, 2, 0, 3, 0, 2, 2, 1, 3, 2, 3, 3, 1, 0, 3, 3, 3, 4, 3, 1, 2, 4, 4, 2, 1, 3, 3, 0, 2, 1, 0, 3, 1, 0, 0, 4, 3, 3, 1, 3, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 3, 0, 4, 2, 2, 0, 3, 1, 3, 4, 2, 4, 4, 0, 4, 0, 4, 1, 2, 4, 3, 4, 0, 3, 2, 2, 2, 3, 1, 0, 4, 3, 1, 2, 2, 2, 2, 4, 1, 2, 1, 3, 3, 1, 2, 4, 3, 0, 1, 4, 2, 0, 3, 1, 4, 2, 0, 2, 1, 0, 1, 3, 4, 0, 4, 3, 0, 3, 0, 0, 1, 1, 2, 0, 3, 1, 0, 2, 1, 0, 2, 4, 4, 1, 1, 3, 4, 4, 0, 3, 0, 1, 3, 2, 0, 0, 4, 3, 2, 4, 0, 1, 3, 0, 2, 4, 4, 2, 4, 1, 0, 4, 1, 4, 4, 1, 2, 3, 2, 1, 4, 2, 4, 4, 3, 0, 3, 4, 2, 1, 4, 3, 2, 0, 2, 2, 3, 2, 3, 0, 3, 2, 0, 4, 4, 2, 0, 4, 0, 2, 0, 2, 4, 3, 3, 2, 0, 0, 2, 2, 2, 3, 1, 1, 4, 1, 3, 1, 1, 4, 3, 0, 2, 0, 4, 3, 3, 3, 2, 3, 4, 0, 3, 2, 1, 1, 4, 0, 1, 0, 3, 2, 3, 3, 0, 2, 0, 3, 3, 2, 0, 4, 2, 0, 1, 0, 2, 0, 4, 4, 4, 2]
pubkeycol520 = [4, 4, 4, 2, 0, 4, 4, 2, 0, 3, 0, 0, 0, 1, 2, 3, 0, 0, 2, 1, 2, 0, 0, 3, 4, 2, 1, 3, 0, 2, 2, 1, 0, 4, 4, 0, 3, 4, 4, 4, 2, 4, 4, 3, 3, 4, 0, 0, 4, 0, 4, 4, 4, 2, 4, 1, 4, 3, 3, 0, 1, 1, 2, 1, 3, 1, 3, 4, 4, 4, 2, 4, 4, 1, 1, 3, 2, 1, 1, 1, 2, 0, 4, 2, 4, 2, 2, 4, 4, 1, 4, 0, 2, 2, 4, 0, 0, 2, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 4, 0, 0, 1, 1, 4, 1, 1, 3, 1, 0, 1, 3, 3, 3, 2, 3, 3, 4, 4, 4, 0, 2, 1, 1, 3, 1, 4, 3, 3, 4, 2, 1, 0, 1, 4, 3, 2, 0, 3, 3, 3, 3, 4, 0, 0, 4, 4, 0, 3, 1, 0, 3, 4, 3, 0, 1, 4, 3, 1, 1, 2, 4, 3, 1, 1, 2, 0, 1, 2, 4, 2, 0, 3, 4, 4, 4, 0, 1, 2, 4, 2, 1, 1, 2, 4, 3, 4, 4, 2, 1, 3, 3, 0, 3, 2, 3, 2, 0, 0, 2, 3, 1, 3, 4, 2, 2, 3, 1, 4, 1, 2, 1, 0, 2, 0, 1, 3, 3, 2, 0, 4, 1, 1, 0, 0, 1, 1, 2, 3, 0, 0, 1, 2, 1, 1, 4, 0, 3, 0, 2, 3, 3, 0, 0, 2, 1, 3, 1, 1, 1, 1, 4, 0, 4, 3, 3, 1, 3, 4, 3, 2, 3, 0, 0, 2, 0, 3, 4, 1, 0, 3, 1, 4, 1, 2, 2, 1, 4, 2, 4, 2, 0, 0, 1, 2, 0, 2, 0, 4, 4, 1, 0, 1, 4, 4, 4, 0, 4, 4, 2, 1, 4, 0, 3, 1, 1, 1, 0, 1, 4, 4, 0, 1, 4, 1, 4, 1, 3, 2, 3, 3, 4, 1, 3, 0, 2, 2, 4, 4, 3, 3, 0, 0, 1, 3, 4, 4, 1, 0, 2, 4, 1, 1, 2, 3, 1, 2, 1, 4, 0, 4, 3, 0, 0, 4, 4, 0, 3, 0, 4, 0, 4, 2, 3, 0, 4, 1, 3, 0, 1, 0, 4, 1, 4, 2, 3, 4, 0, 0, 3, 4, 4, 3, 1, 4, 0, 1, 2, 3, 2, 4]
pubkeycol521 = [0, 3, 2, 0, 4, 0, 3, 0, 0, 4, 4, 0, 2, 2, 3, 0, 2, 4, 0, 3, 2, 3, 4, 3, 3, 1, 0, 2, 2, 0, 1, 2, 2, 2, 3, 2, 0, 4, 4, 1, 0, 1, 4, 1, 4, 0, 1, 3, 3, 1, 2, 1, 4, 0, 2, 0, 3, 3, 0, 3, 1, 0, 0, 2, 2, 3, 0, 1, 4, 3, 1, 1, 1, 4, 0, 1, 4, 1, 3, 3, 1, 1, 1, 3, 1, 0, 3, 3, 3, 0, 0, 2, 3, 3, 2, 3, 1, 4, 1, 0, 0, 1, 2, 4, 2, 2, 3, 3, 2, 3, 2, 4, 1, 4, 3, 2, 4, 4, 1, 3, 1, 1, 0, 0, 0, 3, 2, 1, 0, 0, 0, 4, 2, 3, 3, 2, 3, 0, 2, 4, 1, 2, 0, 3, 3, 3, 1, 2, 1, 1, 2, 4, 1, 1, 0, 0, 1, 0, 1, 0, 1, 4, 4, 0, 3, 4, 1, 4, 0, 3, 4, 4, 3, 4, 2, 0, 2, 1, 4, 1, 2, 2, 3, 4, 1, 3, 1, 4, 0, 1, 2, 1, 2, 1, 4, 3, 4, 2, 0, 2, 4, 2, 3, 3, 2, 3, 0, 4, 2, 4, 2, 4, 2, 0, 1, 1, 1, 0, 3, 2, 4, 1, 4, 0, 4, 0, 4, 4, 4, 2, 1, 0, 2, 1, 2, 1, 4, 4, 0, 3, 2, 2, 1, 2, 0, 2, 0, 3, 2, 0, 0, 2, 3, 2, 0, 3, 4, 4, 4, 2, 0, 3, 2, 0, 0, 2, 2, 4, 4, 0, 2, 2, 2, 4, 2, 1, 3, 0, 0, 0, 1, 4, 1, 4, 2, 2, 1, 3, 4, 2, 2, 4, 0, 2, 3, 4, 4, 0, 2, 4, 3, 2, 2, 3, 2, 4, 1, 0, 2, 2, 1, 1, 3, 0, 0, 0, 4, 3, 1, 0, 0, 3, 4, 1, 2, 0, 0, 1, 1, 4, 3, 3, 1, 0, 0, 3, 0, 1, 3, 4, 4, 2, 1, 3, 1, 0, 3, 1, 1, 0, 4, 1, 2, 4, 4, 3, 3, 1, 3, 2, 3, 2, 0, 4, 3, 0, 3, 4, 0, 4, 3, 2, 1, 0, 3, 4, 4, 0, 0, 4, 4, 1, 0, 4, 3, 2, 3, 0, 3, 1, 3, 0, 2, 3, 2, 0, 1, 2, 0, 0]
pubkeycol522 = [0, 0, 3, 1, 3, 4, 2, 1, 0, 3, 0, 1, 0, 3, 3, 3, 1, 4, 0, 1, 0, 1, 1, 1, 1, 3, 0, 0, 1, 3, 2, 2, 3, 3, 1, 3, 4, 3, 3, 4, 3, 2, 3, 3, 0, 2, 0, 1, 4, 1, 3, 0, 2, 1, 1, 4, 1, 4, 1, 2, 1, 2, 3, 4, 4, 3, 4, 1, 4, 0, 0, 4, 0, 3, 1, 0, 3, 0, 0, 3, 1, 3, 1, 0, 0, 0, 3, 1, 0, 1, 0, 3, 1, 2, 0, 0, 0, 2, 2, 0, 3, 3, 4, 2, 0, 2, 0, 4, 3, 1, 0, 3, 2, 4, 0, 2, 3, 3, 0, 0, 4, 4, 2, 0, 4, 3, 2, 4, 3, 4, 4, 2, 1, 0, 2, 1, 2, 4, 0, 1, 1, 4, 2, 0, 4, 1, 0, 0, 3, 0, 1, 2, 3, 2, 2, 1, 0, 1, 4, 0, 1, 4, 1, 4, 4, 0, 0, 4, 3, 4, 4, 1, 1, 1, 3, 2, 2, 1, 4, 0, 1, 4, 4, 3, 2, 1, 3, 2, 3, 3, 1, 0, 0, 2, 3, 4, 0, 2, 4, 4, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 4, 2, 0, 3, 1, 0, 1, 1, 2, 2, 1, 3, 4, 0, 4, 3, 3, 0, 3, 1, 0, 1, 0, 0, 3, 3, 3, 3, 1, 2, 2, 1, 1, 2, 0, 0, 3, 1, 4, 0, 1, 1, 3, 2, 4, 0, 1, 1, 2, 0, 4, 4, 1, 3, 1, 0, 0, 2, 0, 0, 0, 0, 2, 3, 2, 1, 1, 1, 0, 1, 4, 2, 1, 1, 3, 0, 0, 1, 0, 2, 4, 0, 1, 0, 2, 2, 0, 3, 1, 3, 2, 4, 3, 3, 0, 1, 2, 2, 3, 1, 4, 0, 4, 2, 0, 3, 0, 1, 3, 1, 0, 1, 2, 0, 0, 3, 0, 4, 3, 0, 2, 3, 3, 0, 3, 4, 4, 4, 4, 3, 0, 0, 0, 3, 0, 0, 3, 2, 4, 3, 1, 1, 2, 4, 0, 3, 1, 1, 4, 1, 1, 3, 2, 1, 3, 2, 3, 0, 3, 1, 2, 3, 4, 1, 3, 0, 0, 4, 2, 0, 4, 1, 1, 4, 4, 0, 0, 4, 0, 2, 3, 2, 4, 1, 3, 3, 2, 2, 1]
pubkeycol523 = [3, 3, 0, 1, 0, 0, 2, 4, 3, 1, 3, 0, 1, 2, 4, 1, 1, 3, 2, 1, 0, 1, 2, 4, 3, 4, 1, 2, 4, 0, 4, 0, 4, 0, 2, 1, 0, 2, 1, 0, 0, 4, 3, 2, 4, 2, 2, 2, 3, 0, 3, 3, 0, 4, 0, 0, 2, 4, 3, 3, 2, 2, 4, 2, 2, 1, 4, 3, 0, 1, 4, 4, 4, 0, 4, 4, 3, 3, 1, 0, 3, 0, 3, 3, 1, 3, 3, 0, 3, 1, 3, 0, 0, 0, 4, 0, 3, 2, 3, 1, 2, 4, 0, 0, 2, 4, 3, 1, 3, 2, 1, 0, 1, 4, 4, 3, 0, 0, 4, 1, 4, 1, 3, 4, 0, 3, 0, 1, 3, 0, 4, 4, 4, 4, 3, 4, 1, 0, 1, 3, 2, 0, 0, 2, 4, 2, 3, 4, 4, 2, 1, 0, 2, 1, 4, 0, 3, 1, 2, 4, 0, 1, 4, 4, 3, 0, 1, 0, 1, 3, 2, 3, 0, 4, 0, 2, 3, 4, 0, 4, 1, 3, 2, 2, 0, 0, 3, 4, 4, 3, 0, 4, 2, 2, 4, 0, 0, 0, 1, 0, 4, 1, 1, 4, 4, 4, 0, 2, 4, 1, 2, 3, 0, 4, 3, 3, 2, 0, 2, 4, 1, 0, 0, 4, 0, 3, 4, 2, 4, 2, 3, 3, 4, 0, 2, 0, 1, 3, 0, 2, 0, 0, 3, 3, 2, 3, 2, 2, 0, 4, 1, 2, 4, 3, 0, 2, 1, 1, 4, 3, 2, 0, 4, 2, 4, 0, 1, 2, 3, 0, 1, 2, 4, 4, 0, 2, 3, 0, 0, 2, 2, 0, 3, 1, 4, 0, 3, 4, 0, 4, 0, 1, 0, 0, 4, 0, 4, 1, 1, 1, 4, 0, 4, 0, 2, 2, 2, 4, 4, 0, 1, 1, 2, 4, 4, 3, 3, 4, 1, 0, 4, 3, 3, 4, 2, 3, 3, 1, 4, 3, 0, 1, 0, 1, 3, 4, 0, 0, 0, 2, 2, 2, 3, 3, 3, 0, 2, 4, 3, 1, 2, 0, 4, 1, 4, 1, 0, 4, 1, 0, 2, 0, 2, 4, 3, 1, 0, 1, 0, 2, 4, 3, 0, 2, 4, 1, 1, 4, 1, 3, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 3, 0, 3, 3, 0, 4, 4, 2, 4, 2]
pubkeycol524 = [2, 2, 0, 0, 3, 3, 2, 1, 3, 3, 4, 1, 0, 3, 4, 3, 1, 1, 0, 3, 1, 1, 0, 4, 2, 1, 2, 4, 2, 4, 1, 3, 2, 4, 0, 3, 2, 1, 0, 1, 3, 4, 2, 1, 3, 4, 4, 3, 0, 0, 0, 4, 3, 3, 0, 2, 1, 4, 1, 4, 3, 2, 3, 1, 2, 1, 0, 3, 1, 4, 2, 4, 4, 4, 0, 4, 3, 3, 0, 2, 3, 0, 3, 1, 0, 3, 0, 2, 0, 3, 4, 0, 4, 4, 2, 4, 1, 4, 2, 3, 2, 0, 3, 2, 1, 2, 1, 0, 3, 0, 2, 3, 0, 4, 3, 3, 4, 4, 4, 0, 3, 3, 1, 2, 0, 1, 4, 4, 2, 1, 3, 0, 4, 3, 1, 2, 1, 4, 4, 4, 1, 2, 2, 0, 2, 2, 1, 4, 1, 4, 3, 4, 1, 1, 0, 2, 0, 0, 3, 2, 4, 4, 0, 0, 4, 1, 2, 4, 1, 4, 2, 3, 0, 0, 3, 4, 1, 4, 4, 2, 4, 2, 1, 1, 3, 3, 3, 1, 0, 3, 2, 4, 1, 0, 0, 4, 2, 2, 0, 2, 0, 2, 1, 2, 3, 4, 0, 4, 3, 0, 4, 0, 0, 4, 0, 4, 2, 4, 0, 3, 0, 2, 0, 4, 1, 0, 3, 2, 1, 2, 0, 0, 1, 3, 0, 1, 3, 3, 0, 2, 3, 4, 1, 3, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 4, 3, 2, 0, 3, 2, 4, 4, 1, 1, 2, 0, 3, 1, 4, 2, 4, 0, 2, 4, 2, 3, 1, 2, 3, 1, 4, 1, 4, 4, 2, 0, 3, 1, 0, 2, 1, 1, 1, 0, 3, 1, 0, 0, 1, 3, 2, 0, 2, 3, 3, 2, 0, 2, 3, 3, 2, 3, 3, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 3, 0, 4, 0, 4, 2, 1, 4, 3, 0, 0, 1, 0, 3, 4, 4, 2, 4, 0, 1, 0, 4, 4, 3, 1, 0, 2, 2, 4, 0, 2, 0, 0, 4, 4, 1, 3, 0, 0, 2, 0, 0, 0, 3, 1, 2, 1, 4, 2, 0, 2, 1, 0, 4, 2, 3, 3, 2, 4, 3, 3, 0, 2, 0, 3, 1, 1, 0, 1, 4, 4, 2, 2, 4, 3, 0]
pubkeycol525 = [3, 4, 2, 3, 1, 1, 4, 1, 1, 4, 2, 4, 0, 4, 4, 0, 3, 4, 0, 1, 4, 0, 0, 0, 4, 4, 2, 2, 2, 0, 0, 2, 1, 4, 0, 0, 4, 1, 4, 1, 1, 1, 0, 1, 3, 3, 3, 4, 0, 0, 1, 3, 1, 1, 2, 4, 1, 4, 4, 4, 0, 1, 4, 0, 0, 1, 0, 1, 2, 0, 3, 3, 2, 2, 3, 1, 1, 2, 4, 4, 1, 3, 1, 1, 1, 3, 4, 2, 2, 3, 0, 1, 4, 3, 1, 3, 4, 2, 0, 3, 4, 2, 0, 1, 4, 0, 0, 3, 0, 2, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 4, 4, 1, 3, 2, 0, 1, 1, 1, 0, 1, 1, 0, 3, 3, 3, 1, 0, 4, 1, 4, 3, 2, 3, 0, 1, 1, 1, 4, 2, 0, 1, 3, 4, 1, 4, 0, 2, 0, 2, 3, 2, 2, 4, 0, 0, 0, 3, 1, 0, 4, 0, 1, 0, 0, 3, 4, 2, 0, 1, 3, 3, 3, 1, 4, 4, 2, 1, 4, 2, 2, 4, 4, 1, 1, 2, 4, 0, 2, 3, 0, 2, 3, 3, 2, 3, 4, 3, 4, 0, 3, 3, 0, 1, 1, 3, 1, 1, 4, 0, 1, 1, 2, 2, 4, 1, 3, 1, 0, 4, 3, 0, 1, 4, 0, 1, 0, 4, 1, 2, 2, 1, 1, 4, 4, 1, 3, 1, 4, 4, 3, 1, 4, 2, 0, 4, 0, 3, 3, 0, 0, 4, 1, 2, 2, 1, 1, 2, 4, 0, 4, 2, 3, 4, 4, 4, 1, 1, 3, 0, 3, 3, 0, 2, 2, 1, 1, 3, 0, 0, 0, 4, 2, 4, 0, 2, 4, 3, 3, 4, 1, 2, 1, 4, 4, 3, 4, 0, 4, 0, 0, 3, 2, 1, 2, 4, 1, 1, 3, 1, 3, 0, 3, 1, 0, 1, 3, 3, 4, 0, 3, 4, 0, 4, 3, 0, 2, 4, 1, 1, 3, 1, 3, 3, 3, 1, 1, 4, 3, 3, 2, 4, 2, 1, 3, 3, 0, 4, 0, 1, 1, 4, 2, 2, 0, 0, 4, 2, 0, 4, 4, 3, 0, 4, 4, 0, 1, 0, 3, 0, 3, 3, 0, 2, 0, 4, 1, 0, 2, 4, 1, 3, 2, 2, 3, 1, 1]
pubkeycol526 = [2, 1, 4, 0, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 3, 0, 4, 3, 3, 1, 4, 1, 3, 3, 0, 4, 1, 0, 0, 1, 4, 1, 4, 1, 4, 0, 2, 2, 2, 1, 2, 3, 4, 4, 2, 4, 0, 3, 4, 0, 1, 1, 0, 2, 1, 1, 1, 3, 2, 0, 0, 4, 1, 1, 1, 4, 2, 3, 4, 0, 4, 1, 4, 4, 4, 3, 2, 0, 2, 3, 3, 2, 0, 0, 2, 0, 2, 3, 0, 3, 0, 3, 3, 2, 0, 2, 3, 0, 0, 1, 1, 0, 1, 4, 2, 3, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 3, 1, 1, 4, 1, 0, 0, 3, 3, 1, 2, 4, 4, 3, 1, 1, 0, 1, 3, 1, 1, 2, 3, 2, 1, 1, 0, 0, 2, 0, 4, 3, 0, 2, 4, 2, 3, 1, 0, 3, 4, 0, 3, 0, 1, 4, 0, 4, 4, 3, 0, 3, 4, 2, 0, 0, 1, 2, 1, 1, 3, 3, 3, 1, 4, 0, 0, 2, 4, 3, 4, 3, 0, 0, 0, 0, 3, 2, 0, 2, 2, 2, 0, 0, 0, 4, 1, 2, 4, 0, 0, 1, 1, 2, 2, 3, 4, 2, 4, 3, 1, 3, 1, 3, 4, 2, 0, 4, 3, 4, 4, 1, 2, 1, 2, 1, 2, 4, 1, 4, 4, 2, 2, 1, 1, 0, 3, 4, 3, 1, 4, 3, 2, 3, 1, 1, 3, 2, 1, 0, 4, 0, 4, 1, 2, 2, 1, 4, 4, 3, 4, 3, 2, 0, 0, 1, 1, 4, 4, 3, 3, 2, 1, 0, 3, 1, 3, 3, 0, 1, 1, 2, 3, 1, 3, 4, 2, 2, 0, 2, 0, 2, 4, 1, 4, 1, 2, 2, 3, 2, 1, 1, 1, 0, 0, 3, 1, 0, 4, 1, 4, 3, 1, 4, 0, 1, 3, 0, 3, 2, 0, 3, 4, 0, 2, 3, 0, 0, 3, 1, 0, 0, 2, 3, 1, 0, 0, 4, 2, 0, 1, 4, 1, 2, 4, 4, 0, 3, 3, 0, 2, 4, 3, 4, 2, 1, 2, 2, 1, 0, 0, 2, 4, 1, 3, 0, 2, 4, 3, 1, 4, 4, 0, 3, 0, 1, 1, 2, 0, 4, 4, 4, 0, 2]
pubkeycol527 = [3, 2, 3, 0, 4, 2, 1, 4, 1, 0, 2, 2, 2, 4, 2, 1, 4, 4, 1, 0, 2, 2, 3, 3, 0, 0, 0, 1, 2, 2, 3, 1, 4, 2, 1, 4, 4, 1, 2, 3, 0, 0, 4, 2, 4, 3, 0, 0, 4, 3, 1, 3, 0, 4, 3, 0, 3, 0, 1, 2, 0, 0, 0, 3, 2, 2, 1, 3, 1, 0, 1, 4, 4, 0, 4, 4, 4, 0, 3, 0, 3, 2, 3, 3, 4, 0, 1, 1, 3, 1, 2, 1, 1, 1, 0, 2, 4, 0, 1, 4, 3, 2, 1, 3, 2, 3, 3, 2, 4, 0, 1, 0, 4, 2, 3, 0, 1, 1, 3, 3, 4, 0, 2, 4, 0, 3, 4, 4, 2, 0, 4, 4, 2, 3, 3, 4, 2, 4, 0, 2, 1, 3, 3, 3, 1, 0, 1, 2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 1, 2, 2, 4, 3, 2, 1, 2, 2, 3, 3, 2, 4, 0, 4, 3, 0, 2, 2, 0, 1, 4, 0, 4, 2, 0, 2, 0, 4, 3, 2, 4, 2, 2, 4, 2, 4, 2, 4, 1, 2, 1, 2, 0, 2, 3, 0, 0, 2, 0, 3, 4, 4, 0, 0, 1, 2, 0, 0, 0, 0, 4, 0, 3, 4, 4, 0, 1, 2, 1, 3, 2, 1, 2, 2, 2, 0, 4, 4, 0, 0, 2, 0, 2, 3, 1, 4, 0, 1, 4, 2, 0, 1, 3, 2, 0, 4, 2, 4, 3, 4, 3, 4, 0, 1, 2, 4, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 3, 2, 2, 0, 0, 0, 3, 0, 1, 4, 0, 3, 2, 4, 3, 4, 2, 1, 2, 2, 4, 0, 0, 4, 3, 3, 3, 1, 4, 2, 4, 2, 2, 0, 3, 0, 1, 4, 2, 4, 1, 4, 2, 2, 4, 3, 1, 2, 0, 0, 3, 3, 1, 1, 1, 4, 4, 0, 3, 3, 4, 4, 1, 4, 4, 2, 0, 0, 1, 4, 1, 4, 4, 1, 3, 0, 0, 3, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 3, 4, 3, 4, 2, 0, 3, 1, 4, 0, 0, 2, 4, 2, 1, 2, 3, 0, 3, 1, 4, 0, 2, 3, 0, 2, 1, 4, 0, 3, 2, 2, 0, 3, 1]
pubkeycol528 = [1, 4, 3, 0, 1, 2, 2, 1, 2, 3, 0, 3, 4, 0, 3, 0, 1, 3, 3, 0, 1, 2, 1, 2, 2, 1, 0, 4, 3, 0, 4, 3, 0, 4, 2, 0, 1, 1, 3, 1, 2, 1, 2, 4, 1, 4, 0, 3, 3, 0, 1, 0, 4, 3, 1, 0, 4, 2, 3, 1, 1, 1, 1, 4, 3, 1, 1, 1, 1, 4, 3, 0, 3, 3, 3, 0, 1, 2, 4, 3, 1, 2, 4, 3, 1, 2, 3, 0, 2, 0, 4, 4, 0, 2, 0, 3, 3, 2, 3, 1, 4, 1, 0, 1, 1, 4, 1, 1, 2, 1, 0, 4, 2, 0, 1, 0, 2, 3, 0, 3, 4, 4, 3, 0, 3, 3, 2, 2, 0, 3, 1, 1, 0, 2, 4, 3, 1, 2, 3, 2, 1, 2, 0, 4, 3, 0, 2, 2, 0, 0, 2, 1, 4, 0, 2, 0, 3, 0, 0, 0, 4, 2, 3, 4, 4, 1, 0, 0, 4, 1, 4, 3, 4, 4, 1, 0, 4, 4, 3, 4, 2, 4, 4, 1, 0, 2, 4, 2, 2, 3, 2, 4, 0, 0, 1, 2, 1, 3, 4, 3, 0, 4, 0, 4, 2, 2, 0, 3, 1, 3, 0, 3, 2, 3, 4, 0, 2, 0, 4, 4, 3, 4, 4, 0, 4, 3, 4, 2, 3, 3, 2, 1, 1, 3, 1, 2, 4, 3, 0, 4, 1, 0, 2, 3, 1, 4, 3, 3, 0, 2, 1, 2, 0, 4, 1, 0, 4, 4, 1, 4, 4, 0, 4, 1, 2, 3, 4, 2, 0, 0, 1, 3, 0, 1, 2, 4, 0, 2, 3, 4, 2, 1, 1, 4, 4, 2, 3, 2, 3, 4, 3, 0, 1, 4, 3, 1, 4, 3, 0, 4, 1, 1, 4, 4, 0, 3, 3, 4, 0, 4, 3, 0, 2, 4, 4, 1, 4, 1, 1, 3, 3, 3, 4, 3, 0, 4, 4, 1, 2, 0, 0, 2, 1, 0, 0, 2, 3, 3, 3, 2, 2, 4, 2, 0, 0, 4, 0, 3, 0, 3, 4, 3, 0, 2, 0, 1, 4, 3, 3, 1, 0, 4, 0, 2, 2, 3, 1, 0, 1, 3, 4, 4, 4, 4, 2, 1, 3, 2, 1, 4, 2, 3, 3, 4, 1, 2, 1, 1, 1, 1, 0, 2, 1, 4, 4, 4, 2, 0, 3, 0]
pubkeycol529 = [2, 0, 4, 1, 2, 0, 2, 1, 1, 0, 4, 1, 4, 3, 2, 4, 3, 1, 0, 0, 4, 4, 0, 2, 2, 4, 0, 1, 2, 4, 3, 3, 2, 1, 2, 1, 1, 4, 1, 4, 4, 1, 3, 0, 4, 4, 3, 2, 2, 4, 1, 0, 2, 1, 4, 3, 0, 3, 1, 1, 4, 1, 1, 2, 1, 4, 3, 4, 3, 0, 2, 0, 2, 4, 2, 2, 0, 1, 0, 2, 1, 0, 1, 3, 1, 3, 2, 1, 4, 1, 4, 0, 4, 1, 0, 1, 1, 0, 2, 0, 3, 1, 4, 2, 1, 1, 0, 1, 2, 0, 4, 2, 3, 1, 2, 4, 2, 1, 0, 3, 3, 3, 0, 0, 2, 0, 0, 1, 3, 0, 2, 4, 4, 1, 1, 4, 4, 1, 4, 2, 1, 1, 0, 1, 2, 0, 2, 2, 4, 1, 0, 4, 3, 0, 0, 0, 2, 2, 0, 3, 0, 1, 0, 1, 0, 3, 1, 1, 3, 1, 1, 0, 3, 4, 4, 1, 4, 2, 0, 4, 1, 1, 1, 4, 0, 1, 1, 4, 4, 0, 2, 4, 0, 2, 1, 2, 2, 4, 4, 2, 0, 3, 1, 1, 2, 3, 4, 2, 4, 3, 0, 2, 3, 2, 0, 3, 2, 1, 4, 0, 2, 3, 1, 3, 0, 4, 1, 3, 1, 2, 4, 4, 2, 4, 1, 3, 3, 2, 3, 1, 0, 0, 2, 4, 4, 2, 0, 3, 2, 3, 3, 4, 0, 1, 0, 3, 2, 1, 2, 1, 4, 3, 1, 3, 2, 3, 2, 1, 1, 0, 2, 3, 1, 0, 2, 0, 2, 2, 3, 3, 4, 0, 1, 0, 0, 2, 2, 2, 2, 3, 0, 1, 3, 3, 4, 0, 1, 2, 3, 2, 2, 0, 3, 0, 0, 2, 1, 1, 2, 3, 4, 2, 1, 0, 2, 4, 2, 2, 4, 3, 0, 0, 3, 0, 4, 3, 1, 3, 1, 2, 4, 4, 2, 3, 4, 1, 3, 0, 2, 0, 1, 4, 4, 1, 4, 0, 4, 0, 2, 2, 0, 4, 4, 4, 3, 3, 2, 0, 3, 2, 2, 3, 0, 0, 1, 0, 3, 1, 0, 4, 4, 1, 1, 0, 2, 1, 3, 0, 0, 2, 4, 2, 1, 4, 4, 2, 2, 0, 1, 2, 0, 0, 3, 0, 0, 0, 0, 2, 4, 1]
pubkeycol530 = [4, 3, 4, 1, 1, 2, 0, 4, 1, 2, 4, 4, 2, 4, 3, 2, 0, 3, 0, 1, 4, 4, 3, 4, 2, 4, 0, 3, 1, 2, 1, 0, 0, 2, 2, 0, 1, 4, 1, 2, 0, 4, 0, 4, 0, 3, 0, 3, 2, 2, 1, 4, 3, 1, 0, 0, 2, 3, 4, 3, 0, 2, 2, 2, 3, 3, 0, 3, 1, 1, 0, 2, 3, 1, 2, 4, 1, 0, 3, 3, 0, 1, 0, 2, 3, 0, 4, 2, 3, 2, 0, 4, 1, 4, 2, 2, 4, 3, 0, 0, 2, 4, 3, 3, 1, 0, 2, 1, 3, 2, 2, 1, 1, 4, 2, 0, 1, 2, 3, 0, 4, 1, 4, 4, 2, 0, 4, 0, 0, 4, 3, 4, 2, 0, 4, 4, 2, 1, 1, 2, 4, 4, 3, 4, 1, 4, 1, 4, 2, 3, 4, 0, 1, 3, 1, 1, 1, 1, 1, 0, 3, 3, 1, 3, 0, 2, 1, 2, 1, 1, 4, 4, 3, 0, 4, 2, 4, 1, 4, 2, 0, 3, 1, 0, 0, 3, 3, 4, 0, 4, 4, 3, 1, 4, 2, 1, 0, 2, 3, 3, 4, 2, 4, 1, 3, 1, 3, 0, 2, 3, 4, 4, 0, 4, 4, 4, 2, 4, 4, 2, 0, 4, 1, 3, 1, 3, 4, 1, 1, 0, 0, 4, 3, 0, 1, 4, 4, 0, 4, 1, 0, 4, 3, 3, 1, 0, 3, 1, 2, 1, 0, 4, 3, 1, 3, 4, 2, 0, 1, 1, 4, 3, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 4, 4, 2, 4, 3, 2, 2, 2, 2, 1, 4, 2, 0, 4, 1, 3, 3, 2, 4, 0, 4, 3, 4, 3, 1, 2, 2, 0, 1, 4, 3, 0, 3, 4, 0, 4, 0, 3, 0, 0, 1, 1, 3, 4, 3, 2, 3, 1, 0, 3, 0, 4, 1, 3, 0, 3, 4, 0, 1, 3, 4, 4, 4, 0, 2, 4, 4, 4, 1, 4, 0, 1, 2, 1, 0, 0, 3, 1, 1, 4, 2, 3, 4, 0, 2, 4, 0, 0, 2, 1, 2, 1, 4, 0, 3, 2, 3, 0, 1, 3, 2, 2, 1, 2, 2, 1, 4, 1, 0, 4, 3, 3, 4, 2, 4, 2, 2, 2, 2, 4, 0, 2, 0, 3, 4, 0, 0]
pubkeycol531 = [1, 4, 1, 0, 0, 0, 0, 3, 3, 0, 0, 3, 2, 1, 0, 0, 0, 0, 4, 1, 4, 2, 1, 4, 0, 2, 1, 3, 2, 4, 3, 3, 2, 4, 0, 1, 2, 2, 4, 4, 3, 3, 0, 3, 1, 0, 1, 1, 3, 3, 3, 1, 1, 2, 2, 0, 4, 2, 0, 4, 1, 2, 1, 0, 3, 0, 0, 2, 0, 1, 0, 1, 4, 1, 2, 0, 3, 4, 4, 0, 3, 0, 1, 2, 4, 0, 4, 3, 1, 3, 1, 0, 3, 3, 4, 4, 3, 2, 2, 4, 0, 0, 0, 1, 0, 0, 3, 0, 4, 1, 2, 2, 1, 2, 4, 1, 3, 2, 1, 2, 3, 1, 2, 0, 0, 3, 4, 4, 1, 0, 4, 2, 1, 2, 1, 3, 1, 1, 4, 3, 3, 3, 1, 1, 0, 3, 2, 3, 3, 3, 1, 3, 0, 3, 4, 2, 0, 1, 2, 3, 2, 4, 0, 0, 1, 0, 0, 4, 3, 0, 1, 3, 1, 2, 0, 2, 2, 4, 0, 3, 2, 0, 4, 4, 3, 4, 0, 3, 2, 3, 2, 4, 3, 2, 0, 1, 3, 0, 3, 3, 0, 1, 1, 1, 3, 1, 2, 1, 4, 0, 0, 4, 0, 2, 2, 1, 0, 4, 4, 0, 1, 4, 1, 3, 3, 2, 3, 4, 4, 0, 0, 2, 4, 3, 4, 2, 3, 1, 0, 0, 4, 1, 2, 3, 2, 1, 2, 3, 1, 3, 3, 3, 4, 3, 3, 1, 1, 3, 0, 1, 0, 4, 2, 1, 4, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 4, 3, 2, 1, 2, 0, 1, 3, 3, 4, 0, 4, 3, 2, 2, 2, 2, 3, 4, 3, 0, 4, 1, 0, 1, 4, 0, 3, 4, 4, 3, 0, 4, 1, 1, 0, 3, 2, 2, 3, 2, 1, 1, 3, 3, 0, 3, 4, 2, 0, 4, 1, 1, 2, 2, 1, 2, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 1, 2, 0, 0, 4, 2, 3, 2, 3, 1, 3, 3, 1, 3, 3, 2, 2, 0, 1, 1, 4, 4, 3, 3, 4, 1, 1, 3, 4, 1, 4, 0, 1, 1, 4, 1, 0, 4, 4, 0, 3, 3, 3, 4, 3, 3, 4, 3, 0, 3]
pubkeycol532 = [4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 2, 3, 3, 4, 1, 1, 0, 1, 4, 3, 2, 2, 3, 0, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 0, 1, 0, 4, 0, 2, 0, 4, 1, 3, 3, 2, 3, 4, 0, 0, 1, 1, 2, 3, 3, 3, 3, 1, 4, 1, 0, 0, 2, 0, 3, 0, 3, 4, 4, 4, 2, 2, 4, 0, 3, 0, 0, 0, 2, 4, 4, 1, 2, 0, 1, 0, 1, 0, 3, 0, 2, 1, 2, 1, 1, 0, 2, 0, 4, 3, 3, 0, 0, 2, 2, 3, 3, 0, 0, 0, 1, 1, 3, 3, 2, 1, 0, 3, 1, 0, 2, 2, 0, 0, 4, 2, 0, 4, 4, 2, 2, 3, 2, 2, 0, 3, 3, 3, 1, 3, 0, 3, 1, 1, 0, 1, 4, 0, 0, 2, 1, 4, 3, 3, 3, 2, 0, 1, 0, 0, 0, 0, 1, 1, 4, 0, 1, 4, 2, 0, 2, 4, 3, 3, 4, 2, 4, 3, 0, 0, 2, 1, 1, 4, 2, 0, 1, 1, 4, 4, 1, 3, 0, 3, 0, 1, 2, 0, 4, 3, 0, 4, 4, 4, 1, 3, 4, 0, 1, 4, 3, 3, 0, 0, 0, 0, 1, 0, 0, 3, 3, 2, 1, 2, 4, 1, 2, 0, 0, 0, 0, 1, 4, 3, 4, 4, 1, 2, 0, 0, 3, 4, 3, 3, 2, 1, 1, 3, 0, 1, 3, 3, 2, 1, 4, 4, 1, 0, 4, 0, 4, 0, 2, 0, 0, 2, 4, 0, 4, 2, 1, 1, 4, 0, 2, 2, 1, 0, 2, 1, 3, 3, 2, 2, 2, 3, 0, 2, 4, 1, 3, 2, 2, 3, 1, 2, 1, 3, 4, 2, 2, 2, 1, 3, 4, 2, 0, 1, 2, 3, 2, 1, 4, 2, 0, 2, 1, 0, 4, 0, 1, 3, 3, 2, 3, 2, 0, 2, 4, 1, 3, 3, 2, 2, 4, 4, 2, 3, 0, 1, 4, 3, 1, 4, 2, 1, 3, 4, 2, 2, 3, 0, 1, 2, 0, 2, 1, 1, 4, 4, 4, 1, 0, 1, 0, 4, 3, 1, 2, 3, 2, 0, 2, 0, 2, 3, 1, 2, 1, 4, 3, 1, 2, 4, 3, 1, 0, 2, 2, 4, 2, 0, 1, 0, 3, 0, 3, 2]
pubkeycol533 = [3, 0, 1, 4, 1, 0, 0, 3, 0, 1, 4, 1, 1, 4, 3, 0, 4, 2, 2, 0, 4, 1, 1, 3, 2, 3, 2, 4, 4, 2, 0, 2, 0, 4, 3, 3, 0, 3, 1, 2, 3, 2, 4, 0, 0, 2, 2, 1, 2, 4, 1, 3, 0, 3, 0, 2, 2, 2, 3, 0, 1, 0, 2, 4, 1, 1, 1, 2, 2, 0, 2, 3, 0, 0, 4, 4, 1, 0, 3, 0, 2, 4, 2, 4, 1, 0, 0, 3, 4, 3, 2, 0, 3, 3, 0, 0, 4, 4, 1, 3, 0, 2, 0, 2, 3, 3, 3, 1, 2, 2, 4, 3, 3, 4, 1, 1, 1, 2, 2, 4, 0, 3, 0, 4, 2, 2, 3, 1, 1, 2, 1, 1, 0, 2, 4, 0, 4, 0, 0, 1, 0, 2, 2, 2, 0, 3, 3, 2, 2, 2, 4, 0, 3, 4, 2, 1, 3, 4, 3, 0, 1, 0, 4, 3, 2, 2, 4, 4, 0, 2, 2, 1, 0, 1, 4, 3, 3, 2, 3, 4, 0, 2, 3, 1, 2, 4, 0, 4, 0, 1, 3, 4, 0, 2, 4, 4, 3, 1, 1, 1, 4, 2, 3, 1, 0, 4, 4, 4, 0, 1, 4, 3, 1, 1, 4, 2, 2, 3, 3, 1, 2, 0, 3, 1, 4, 1, 4, 2, 1, 4, 1, 0, 4, 0, 0, 4, 2, 0, 1, 4, 2, 0, 0, 2, 4, 2, 4, 1, 0, 1, 2, 2, 1, 0, 0, 2, 4, 4, 2, 0, 4, 1, 4, 3, 1, 4, 4, 2, 3, 0, 0, 3, 1, 4, 4, 0, 3, 3, 0, 2, 0, 3, 4, 0, 3, 1, 3, 2, 1, 4, 4, 2, 1, 2, 0, 0, 4, 3, 1, 1, 1, 0, 2, 2, 0, 0, 4, 3, 0, 2, 4, 2, 0, 2, 2, 4, 3, 4, 3, 2, 3, 0, 4, 4, 3, 4, 0, 2, 4, 3, 0, 3, 1, 1, 3, 4, 3, 2, 0, 3, 3, 4, 4, 0, 0, 3, 4, 3, 4, 2, 3, 0, 4, 4, 0, 4, 0, 3, 2, 1, 0, 4, 4, 3, 3, 4, 1, 2, 0, 3, 4, 2, 1, 0, 3, 1, 1, 2, 3, 4, 2, 2, 0, 2, 1, 4, 2, 1, 3, 4, 3, 0, 0, 2, 2, 0, 4, 3, 1, 2]
pubkeycol534 = [4, 1, 0, 4, 1, 2, 3, 1, 2, 4, 2, 4, 4, 2, 0, 1, 0, 3, 2, 3, 4, 0, 3, 1, 3, 1, 4, 0, 4, 1, 4, 3, 0, 2, 3, 2, 0, 1, 4, 0, 4, 3, 3, 2, 4, 0, 4, 4, 0, 2, 4, 4, 0, 4, 3, 1, 3, 0, 0, 4, 2, 3, 3, 3, 0, 1, 3, 2, 2, 0, 2, 3, 4, 1, 2, 3, 1, 2, 1, 4, 1, 4, 1, 3, 4, 1, 0, 2, 1, 0, 1, 3, 4, 1, 2, 4, 3, 0, 4, 0, 2, 1, 2, 0, 2, 0, 1, 0, 3, 3, 4, 1, 3, 4, 4, 2, 1, 4, 3, 0, 0, 1, 0, 1, 4, 0, 0, 1, 4, 4, 2, 3, 1, 2, 2, 4, 4, 0, 0, 2, 3, 0, 1, 4, 4, 2, 3, 1, 0, 0, 0, 4, 0, 2, 3, 0, 3, 1, 4, 3, 4, 1, 0, 3, 2, 0, 1, 4, 2, 1, 0, 2, 0, 4, 0, 1, 3, 3, 3, 4, 2, 0, 3, 4, 2, 2, 4, 0, 3, 3, 4, 2, 4, 3, 4, 3, 1, 3, 4, 4, 0, 1, 0, 2, 0, 3, 2, 2, 2, 1, 1, 2, 3, 0, 0, 1, 3, 2, 2, 2, 0, 3, 2, 0, 4, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 4, 3, 4, 1, 3, 0, 4, 0, 1, 2, 3, 1, 3, 2, 3, 3, 3, 1, 0, 0, 2, 1, 0, 2, 2, 3, 2, 4, 0, 3, 1, 4, 1, 3, 1, 4, 1, 0, 0, 4, 3, 4, 1, 1, 4, 0, 0, 1, 1, 0, 2, 2, 1, 2, 4, 1, 0, 2, 2, 0, 0, 4, 2, 2, 1, 2, 3, 0, 2, 1, 4, 0, 3, 1, 4, 1, 1, 2, 3, 4, 0, 2, 3, 1, 3, 2, 1, 0, 3, 4, 3, 0, 2, 2, 3, 1, 0, 0, 3, 3, 1, 2, 1, 4, 2, 1, 4, 4, 4, 2, 0, 4, 1, 4, 1, 4, 3, 3, 1, 4, 0, 0, 1, 3, 2, 2, 1, 0, 4, 2, 3, 4, 2, 3, 3, 4, 4, 1, 1, 2, 1, 2, 0, 0, 3, 1, 4, 1, 1, 1, 0, 4, 1, 1, 2, 1, 0, 2, 3, 2, 0, 3, 0, 2]
pubkeycol535 = [2, 2, 1, 2, 4, 3, 1, 1, 1, 4, 0, 0, 1, 1, 0, 3, 2, 1, 0, 2, 0, 0, 0, 1, 3, 0, 3, 1, 0, 0, 1, 0, 1, 1, 0, 2, 3, 1, 2, 3, 4, 4, 3, 3, 2, 3, 2, 4, 1, 2, 0, 0, 4, 1, 4, 1, 1, 3, 2, 3, 4, 3, 4, 2, 3, 3, 1, 0, 1, 1, 1, 0, 1, 3, 1, 1, 3, 1, 4, 1, 1, 2, 3, 1, 3, 4, 0, 1, 2, 0, 2, 1, 3, 0, 1, 2, 2, 3, 1, 0, 1, 1, 4, 3, 1, 3, 1, 4, 3, 2, 3, 3, 4, 3, 4, 4, 3, 2, 3, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 3, 4, 2, 0, 2, 2, 3, 2, 2, 4, 4, 0, 3, 1, 4, 3, 4, 1, 0, 3, 2, 1, 3, 1, 2, 1, 1, 4, 2, 0, 0, 1, 3, 4, 3, 2, 3, 0, 1, 1, 1, 3, 3, 2, 4, 0, 1, 1, 4, 1, 1, 4, 3, 2, 4, 1, 1, 2, 1, 3, 3, 3, 3, 0, 4, 1, 3, 3, 3, 3, 1, 2, 4, 1, 1, 2, 1, 1, 0, 0, 0, 3, 4, 1, 1, 2, 4, 3, 1, 1, 3, 3, 4, 0, 1, 0, 4, 2, 3, 1, 2, 1, 4, 0, 1, 2, 1, 4, 3, 1, 4, 1, 1, 1, 1, 0, 3, 4, 1, 2, 0, 0, 0, 1, 0, 2, 4, 0, 2, 0, 3, 2, 4, 4, 4, 3, 0, 2, 1, 0, 3, 2, 0, 1, 1, 4, 4, 1, 1, 4, 1, 4, 3, 4, 4, 1, 1, 4, 3, 2, 0, 1, 2, 0, 2, 3, 2, 2, 2, 1, 2, 3, 3, 2, 0, 1, 0, 2, 1, 1, 4, 3, 0, 0, 3, 3, 4, 3, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 3, 3, 3, 3, 4, 1, 3, 3, 1, 0, 4, 4, 4, 2, 0, 0, 3, 1, 3, 3, 4, 1, 0, 2, 2, 2, 1, 0, 3, 2, 3, 3, 1, 4, 2, 4, 4, 2, 3, 3, 0, 4, 1, 4, 2, 2, 1, 2, 2, 3, 4, 4, 2, 1, 2, 3, 0, 4, 2, 0, 0, 2, 0, 0, 2, 3, 3, 1, 1, 2, 3, 1]
pubkeycol536 = [3, 3, 0, 1, 1, 4, 0, 3, 0, 0, 0, 2, 3, 4, 4, 1, 0, 4, 2, 3, 1, 0, 0, 2, 3, 0, 3, 1, 4, 4, 0, 0, 3, 3, 3, 4, 1, 1, 3, 1, 0, 3, 3, 3, 0, 3, 4, 2, 4, 2, 3, 0, 4, 0, 1, 2, 2, 3, 2, 1, 1, 0, 3, 2, 4, 0, 1, 0, 1, 2, 3, 2, 4, 2, 3, 3, 0, 4, 3, 2, 4, 1, 4, 3, 0, 2, 0, 2, 4, 4, 4, 1, 1, 1, 1, 4, 4, 2, 0, 2, 1, 3, 3, 3, 1, 0, 1, 0, 1, 1, 3, 2, 4, 1, 3, 1, 0, 0, 3, 4, 0, 2, 1, 0, 2, 1, 3, 0, 4, 0, 0, 4, 4, 4, 0, 1, 4, 0, 4, 4, 3, 4, 0, 2, 4, 3, 3, 2, 4, 1, 0, 2, 2, 4, 2, 1, 0, 4, 3, 0, 3, 0, 0, 4, 2, 0, 2, 4, 2, 0, 3, 3, 2, 3, 2, 4, 4, 4, 1, 4, 4, 4, 1, 4, 2, 1, 3, 0, 1, 4, 0, 4, 0, 0, 1, 4, 2, 2, 3, 4, 0, 0, 2, 1, 4, 4, 0, 0, 0, 4, 4, 2, 4, 4, 1, 0, 0, 3, 2, 0, 3, 0, 3, 4, 0, 2, 4, 2, 1, 2, 1, 3, 0, 0, 2, 4, 0, 0, 0, 4, 4, 0, 2, 0, 0, 3, 4, 4, 0, 2, 4, 3, 1, 0, 4, 1, 0, 2, 3, 4, 3, 1, 4, 2, 4, 1, 1, 2, 3, 4, 1, 1, 0, 2, 1, 2, 1, 1, 4, 3, 3, 4, 1, 3, 0, 1, 0, 4, 3, 4, 1, 0, 2, 0, 1, 1, 2, 2, 3, 3, 0, 2, 1, 1, 4, 3, 4, 0, 1, 2, 2, 0, 0, 4, 0, 1, 2, 1, 3, 3, 3, 0, 1, 2, 2, 4, 4, 0, 4, 3, 0, 4, 0, 2, 4, 1, 1, 1, 2, 4, 4, 2, 3, 2, 2, 2, 1, 2, 0, 3, 2, 0, 0, 0, 4, 3, 1, 3, 2, 0, 4, 0, 4, 4, 0, 3, 4, 4, 1, 3, 2, 1, 0, 0, 2, 3, 3, 3, 4, 4, 0, 2, 0, 4, 3, 1, 0, 2, 1, 1, 4, 0, 3, 0, 4, 0, 3, 1, 3, 1]
pubkeycol537 = [2, 0, 1, 4, 0, 1, 3, 1, 0, 4, 1, 1, 0, 2, 4, 3, 2, 3, 3, 3, 0, 1, 0, 3, 2, 2, 4, 0, 1, 3, 4, 1, 3, 4, 3, 3, 4, 4, 2, 4, 0, 0, 4, 1, 3, 0, 4, 3, 4, 0, 2, 4, 4, 3, 0, 0, 1, 2, 1, 4, 3, 1, 4, 1, 1, 0, 0, 1, 0, 4, 4, 3, 2, 4, 1, 1, 1, 0, 0, 3, 1, 2, 3, 2, 3, 3, 2, 3, 3, 4, 0, 4, 1, 1, 0, 4, 2, 0, 3, 0, 0, 2, 1, 3, 4, 4, 0, 3, 2, 2, 1, 3, 3, 4, 2, 1, 4, 1, 0, 0, 1, 1, 1, 0, 1, 3, 0, 1, 4, 3, 4, 4, 4, 4, 3, 0, 3, 1, 4, 2, 0, 4, 4, 4, 2, 0, 4, 1, 1, 0, 0, 3, 3, 1, 4, 1, 0, 4, 1, 2, 4, 4, 2, 0, 2, 0, 4, 2, 2, 2, 1, 4, 1, 4, 3, 2, 1, 1, 0, 2, 4, 2, 0, 4, 1, 1, 4, 1, 0, 4, 4, 3, 4, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 0, 4, 1, 1, 0, 2, 3, 2, 2, 2, 4, 1, 4, 4, 4, 0, 0, 2, 0, 0, 3, 0, 0, 1, 2, 1, 2, 4, 1, 0, 1, 4, 1, 3, 2, 2, 2, 1, 2, 1, 1, 3, 0, 2, 1, 2, 0, 4, 3, 3, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 4, 4, 0, 1, 1, 4, 2, 2, 4, 0, 0, 0, 2, 0, 4, 0, 1, 3, 1, 2, 1, 4, 0, 4, 0, 4, 4, 0, 1, 1, 0, 1, 4, 3, 4, 4, 0, 4, 2, 0, 1, 1, 1, 2, 4, 3, 0, 0, 4, 2, 4, 2, 1, 2, 4, 0, 0, 3, 4, 4, 1, 4, 3, 3, 0, 2, 1, 3, 3, 4, 2, 3, 1, 4, 0, 1, 4, 4, 3, 2, 1, 0, 3, 3, 3, 3, 4, 3, 3, 2, 0, 4, 2, 3, 4, 3, 2, 1, 1, 2, 0, 4, 4, 2, 1, 4, 4, 3, 2, 3, 3, 2, 2, 0, 1, 4, 4, 0, 4, 3, 3, 1, 3, 4, 0, 1, 0, 0, 4, 3, 3, 0, 4, 3]
pubkeycol538 = [4, 1, 1, 3, 1, 1, 2, 4, 2, 0, 0, 1, 4, 3, 4, 0, 1, 3, 4, 3, 0, 3, 2, 2, 0, 0, 0, 3, 4, 1, 2, 1, 3, 4, 1, 0, 0, 2, 1, 1, 3, 3, 2, 2, 0, 4, 4, 0, 3, 1, 2, 3, 0, 3, 0, 0, 3, 0, 1, 4, 2, 3, 4, 1, 4, 3, 0, 0, 1, 4, 3, 3, 1, 3, 1, 4, 2, 0, 1, 0, 1, 3, 4, 2, 3, 1, 4, 1, 4, 4, 1, 0, 3, 4, 3, 4, 1, 3, 0, 0, 2, 2, 1, 3, 4, 3, 0, 2, 1, 4, 0, 2, 0, 1, 4, 2, 4, 2, 2, 2, 1, 0, 4, 1, 3, 2, 2, 0, 4, 1, 0, 3, 4, 2, 1, 1, 2, 1, 3, 3, 3, 3, 0, 3, 0, 4, 4, 3, 1, 4, 4, 3, 4, 2, 4, 3, 4, 4, 2, 0, 1, 3, 0, 2, 4, 1, 1, 4, 2, 3, 4, 1, 3, 0, 4, 2, 2, 1, 3, 0, 0, 4, 0, 2, 3, 4, 4, 4, 1, 3, 2, 3, 1, 4, 3, 0, 4, 1, 4, 3, 4, 0, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 1, 0, 3, 2, 0, 3, 1, 4, 2, 4, 1, 2, 4, 0, 2, 0, 1, 4, 1, 4, 2, 2, 0, 1, 3, 1, 4, 3, 3, 3, 0, 2, 0, 4, 1, 0, 4, 2, 4, 0, 3, 2, 4, 1, 2, 3, 1, 4, 2, 1, 0, 4, 3, 2, 0, 1, 1, 4, 4, 3, 1, 1, 3, 4, 1, 0, 3, 2, 4, 2, 0, 0, 3, 4, 2, 2, 0, 1, 4, 1, 3, 0, 1, 2, 3, 2, 4, 2, 4, 2, 3, 3, 4, 2, 1, 3, 0, 2, 2, 2, 4, 2, 0, 4, 4, 4, 3, 2, 2, 0, 2, 2, 0, 3, 3, 1, 3, 4, 1, 0, 2, 1, 1, 0, 4, 1, 4, 0, 2, 1, 2, 2, 1, 0, 1, 0, 4, 2, 3, 3, 2, 0, 3, 2, 1, 1, 1, 3, 0, 0, 4, 1, 2, 3, 1, 0, 2, 2, 3, 2, 4, 4, 4, 4, 1, 3, 3, 4, 1, 0, 2, 4, 4, 4, 4, 3, 3, 0, 1, 0, 0, 3, 4, 3, 0, 2, 4, 3]
pubkeycol539 = [2, 0, 2, 1, 4, 1, 4, 2, 2, 1, 3, 4, 0, 0, 3, 3, 4, 0, 4, 2, 4, 3, 2, 3, 2, 4, 1, 4, 1, 1, 3, 3, 3, 4, 3, 2, 4, 2, 4, 3, 4, 2, 4, 0, 2, 3, 3, 2, 4, 2, 3, 2, 0, 4, 3, 2, 4, 2, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 2, 4, 2, 3, 4, 0, 4, 4, 2, 3, 4, 2, 2, 1, 4, 0, 1, 0, 4, 2, 1, 0, 3, 3, 1, 0, 1, 2, 4, 2, 0, 2, 1, 1, 1, 4, 4, 3, 3, 0, 2, 2, 0, 3, 3, 0, 4, 4, 0, 3, 2, 1, 4, 1, 4, 1, 1, 3, 0, 2, 1, 2, 2, 3, 4, 2, 3, 1, 3, 3, 2, 4, 0, 2, 1, 4, 2, 1, 1, 1, 0, 1, 3, 1, 3, 4, 0, 1, 2, 4, 4, 2, 2, 2, 0, 4, 0, 3, 4, 2, 0, 4, 1, 0, 0, 3, 0, 3, 0, 1, 2, 4, 3, 3, 4, 4, 2, 1, 3, 1, 4, 0, 1, 2, 3, 1, 2, 1, 1, 0, 1, 4, 0, 4, 1, 4, 1, 3, 0, 4, 0, 0, 1, 2, 2, 1, 4, 2, 3, 3, 1, 1, 1, 1, 4, 1, 0, 0, 1, 1, 3, 1, 1, 1, 0, 3, 0, 4, 2, 4, 0, 0, 1, 1, 0, 2, 4, 2, 4, 1, 0, 4, 1, 3, 3, 2, 3, 1, 1, 2, 2, 1, 0, 0, 3, 1, 1, 0, 4, 4, 1, 4, 0, 0, 3, 2, 1, 2, 1, 3, 4, 4, 0, 4, 4, 0, 2, 0, 0, 3, 4, 3, 0, 0, 4, 4, 2, 1, 3, 3, 1, 0, 2, 0, 1, 0, 3, 4, 4, 0, 1, 2, 3, 1, 4, 1, 1, 3, 3, 4, 3, 4, 2, 4, 3, 3, 0, 3, 1, 4, 2, 3, 4, 4, 1, 4, 4, 1, 4, 1, 3, 2, 3, 3, 3, 1, 3, 1, 4, 0, 3, 3, 1, 1, 0, 1, 4, 3, 0, 3, 3, 2, 3, 1, 1, 1, 4, 1, 4, 1, 2, 0, 4, 2, 3, 2, 2, 1, 1, 1, 4, 4, 4, 0, 2, 4, 4, 1, 2, 3, 1, 4, 1, 4, 3, 0, 3, 4, 2, 0, 1, 1]
pubkeycol540 = [3, 4, 1, 0, 0, 1, 1, 0, 1, 2, 4, 1, 1, 2, 0, 2, 2, 2, 3, 0, 3, 3, 4, 3, 2, 3, 3, 3, 0, 3, 3, 4, 0, 0, 4, 2, 2, 3, 3, 4, 0, 0, 1, 1, 2, 3, 4, 0, 3, 0, 1, 3, 2, 0, 0, 4, 1, 3, 1, 1, 2, 4, 1, 3, 1, 4, 3, 0, 0, 3, 1, 3, 1, 2, 4, 2, 2, 3, 0, 1, 2, 4, 2, 1, 4, 3, 2, 2, 0, 2, 1, 4, 0, 1, 3, 0, 3, 0, 4, 3, 2, 0, 1, 0, 2, 3, 1, 2, 2, 4, 1, 2, 3, 3, 4, 4, 2, 2, 3, 0, 3, 3, 0, 2, 3, 4, 3, 2, 4, 2, 2, 3, 2, 2, 2, 2, 3, 0, 3, 2, 2, 2, 4, 0, 1, 2, 1, 1, 1, 2, 1, 0, 3, 4, 1, 1, 2, 2, 0, 1, 3, 1, 4, 3, 0, 0, 2, 1, 3, 0, 0, 1, 3, 0, 3, 3, 4, 4, 3, 3, 3, 1, 0, 1, 4, 2, 3, 4, 1, 1, 3, 2, 1, 3, 0, 1, 4, 2, 2, 2, 2, 3, 3, 0, 2, 0, 2, 3, 2, 4, 1, 1, 1, 1, 3, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 4, 3, 1, 0, 2, 3, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 3, 2, 4, 3, 1, 3, 2, 2, 2, 4, 1, 0, 0, 2, 2, 3, 4, 0, 3, 3, 2, 3, 3, 1, 1, 2, 2, 1, 3, 3, 4, 3, 2, 0, 0, 1, 1, 4, 1, 0, 3, 2, 4, 2, 0, 3, 3, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 3, 0, 2, 4, 2, 1, 0, 2, 4, 1, 2, 3, 4, 2, 4, 3, 1, 1, 0, 4, 1, 4, 2, 3, 1, 4, 0, 0, 1, 0, 2, 0, 1, 4, 2, 1, 0, 4, 1, 3, 0, 3, 3, 2, 3, 3, 2, 2, 4, 2, 1, 2, 3, 1, 3, 2, 3, 1, 3, 1, 0, 0, 1, 4, 2, 1, 2, 4, 2, 2, 4, 3, 1, 3, 3, 0, 2, 0, 2, 3, 0, 1, 3, 3, 3, 1, 2, 3, 2, 4, 3, 3, 3, 3, 3, 4, 4, 3]
pubkeycol541 = [4, 0, 3, 1, 2, 1, 2, 1, 0, 3, 3, 2, 0, 1, 3, 3, 4, 0, 3, 1, 2, 3, 4, 0, 4, 1, 4, 3, 3, 1, 3, 4, 0, 3, 2, 0, 2, 3, 3, 3, 0, 3, 4, 1, 0, 2, 3, 4, 2, 4, 2, 4, 3, 4, 3, 2, 4, 0, 4, 0, 3, 4, 1, 1, 1, 4, 3, 3, 1, 0, 4, 0, 2, 2, 0, 1, 0, 3, 3, 1, 2, 2, 1, 2, 2, 1, 0, 0, 4, 2, 4, 0, 3, 1, 0, 2, 2, 1, 0, 2, 3, 3, 3, 3, 1, 2, 2, 2, 3, 0, 2, 0, 1, 0, 3, 0, 3, 0, 4, 2, 4, 0, 0, 3, 0, 2, 2, 1, 1, 2, 1, 4, 1, 0, 2, 3, 4, 4, 1, 0, 4, 1, 1, 2, 0, 1, 2, 4, 3, 3, 2, 2, 3, 2, 4, 4, 0, 0, 0, 2, 1, 1, 1, 3, 3, 0, 3, 2, 2, 4, 3, 4, 4, 1, 2, 4, 1, 2, 3, 0, 0, 0, 0, 0, 0, 4, 2, 0, 4, 3, 3, 0, 2, 0, 1, 4, 1, 0, 1, 4, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 3, 3, 4, 4, 2, 2, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 2, 3, 0, 4, 2, 2, 0, 0, 3, 0, 4, 2, 3, 0, 2, 1, 4, 2, 0, 2, 3, 4, 3, 3, 3, 3, 4, 4, 3, 4, 3, 1, 4, 4, 0, 0, 2, 4, 3, 4, 2, 3, 4, 1, 0, 2, 4, 2, 3, 3, 1, 0, 2, 3, 4, 2, 0, 4, 3, 3, 2, 0, 0, 3, 2, 1, 3, 1, 4, 2, 4, 2, 4, 3, 1, 2, 1, 1, 4, 3, 1, 0, 3, 4, 3, 3, 3, 0, 0, 3, 3, 1, 2, 2, 2, 1, 0, 3, 1, 0, 2, 4, 2, 0, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 1, 4, 3, 2, 1, 0, 3, 2, 0, 3, 4, 0, 1, 3, 4, 4, 3, 0, 4, 0, 0, 3, 0, 2, 0, 0, 4, 4, 4, 1, 0, 4, 4, 2, 0, 0, 0, 1, 3, 2, 0, 0, 0, 4, 3, 1, 3, 2, 3, 1, 0, 2, 1, 4, 0, 2, 3]
pubkeycol542 = [2, 2, 2, 2, 1, 0, 2, 4, 4, 3, 4, 4, 4, 0, 0, 3, 3, 3, 3, 4, 1, 0, 1, 3, 4, 0, 4, 4, 1, 4, 2, 3, 3, 0, 1, 0, 4, 0, 0, 0, 4, 3, 0, 3, 0, 1, 0, 3, 4, 4, 2, 0, 4, 1, 1, 2, 3, 3, 3, 0, 2, 1, 4, 4, 4, 4, 3, 4, 2, 1, 4, 4, 1, 2, 3, 3, 2, 0, 3, 0, 3, 3, 4, 0, 2, 2, 4, 1, 1, 1, 0, 3, 2, 3, 1, 2, 2, 0, 3, 4, 1, 0, 0, 2, 2, 0, 4, 2, 3, 3, 1, 3, 3, 2, 4, 2, 3, 0, 2, 2, 3, 0, 3, 2, 2, 2, 2, 1, 3, 4, 2, 2, 2, 1, 2, 1, 1, 1, 3, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 1, 1, 2, 1, 0, 1, 0, 2, 3, 3, 2, 2, 3, 3, 0, 0, 1, 0, 0, 4, 1, 0, 2, 3, 1, 1, 3, 4, 2, 0, 0, 1, 4, 1, 4, 4, 0, 0, 4, 0, 0, 3, 1, 4, 3, 4, 0, 4, 2, 4, 3, 3, 4, 0, 3, 1, 3, 2, 3, 1, 4, 1, 2, 0, 2, 3, 4, 1, 1, 0, 2, 1, 0, 4, 1, 4, 0, 1, 4, 0, 2, 4, 2, 0, 3, 2, 3, 4, 0, 1, 0, 4, 4, 1, 2, 2, 2, 2, 0, 2, 1, 0, 4, 1, 0, 4, 2, 4, 2, 3, 1, 1, 0, 2, 1, 2, 2, 4, 4, 0, 2, 3, 3, 2, 1, 1, 1, 2, 4, 2, 3, 4, 4, 3, 2, 4, 0, 0, 1, 4, 3, 4, 0, 2, 2, 0, 3, 0, 3, 4, 3, 2, 1, 0, 4, 3, 4, 2, 0, 4, 0, 1, 4, 2, 2, 4, 3, 0, 2, 0, 2, 2, 1, 0, 2, 3, 2, 4, 4, 1, 4, 0, 1, 2, 2, 3, 4, 4, 2, 3, 3, 3, 4, 4, 1, 4, 2, 1, 4, 2, 0, 3, 3, 2, 1, 1, 3, 3, 4, 0, 2, 4, 3, 0, 3, 3, 4, 2, 0, 1, 3, 1, 2, 0, 2, 3, 2, 3, 3, 0, 0, 4, 3, 1, 1, 4, 1, 3, 2, 0, 1, 1, 3, 0, 4, 0, 4, 1, 2, 2, 0]
pubkeycol543 = [4, 3, 0, 2, 1, 3, 0, 1, 4, 4, 1, 2, 0, 0, 3, 2, 4, 0, 0, 2, 2, 1, 3, 3, 3, 0, 3, 0, 3, 3, 3, 4, 1, 1, 3, 1, 4, 2, 4, 0, 3, 3, 4, 3, 1, 2, 1, 0, 1, 0, 2, 4, 3, 1, 0, 4, 4, 2, 4, 3, 1, 1, 0, 2, 1, 4, 4, 4, 1, 0, 1, 4, 4, 2, 2, 2, 3, 3, 0, 2, 1, 2, 2, 2, 1, 4, 2, 1, 2, 2, 1, 0, 4, 3, 3, 0, 1, 1, 3, 3, 0, 1, 3, 4, 2, 3, 3, 0, 4, 4, 3, 3, 0, 1, 1, 4, 3, 1, 2, 2, 3, 1, 0, 3, 2, 4, 2, 4, 4, 3, 3, 0, 3, 4, 2, 1, 2, 4, 3, 2, 3, 2, 4, 3, 4, 3, 4, 4, 0, 0, 2, 4, 3, 1, 4, 4, 4, 2, 2, 0, 3, 0, 4, 3, 4, 2, 1, 2, 0, 2, 2, 3, 2, 4, 4, 2, 1, 1, 2, 1, 1, 3, 2, 2, 4, 3, 1, 0, 1, 1, 3, 2, 2, 4, 3, 0, 0, 1, 1, 1, 3, 1, 4, 3, 1, 3, 1, 4, 2, 1, 2, 4, 1, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 4, 1, 3, 2, 1, 3, 4, 0, 1, 4, 4, 1, 3, 0, 2, 4, 1, 0, 2, 1, 2, 0, 4, 4, 3, 0, 4, 2, 0, 2, 2, 0, 1, 4, 1, 1, 4, 3, 3, 2, 4, 4, 2, 0, 0, 3, 2, 1, 4, 3, 3, 4, 0, 4, 4, 4, 4, 2, 1, 4, 2, 0, 4, 3, 2, 2, 2, 1, 0, 3, 0, 3, 0, 4, 1, 3, 1, 0, 3, 1, 0, 0, 4, 4, 2, 1, 3, 1, 1, 1, 1, 4, 2, 3, 1, 1, 1, 4, 0, 3, 0, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 1, 3, 3, 3, 1, 2, 1, 2, 4, 0, 2, 4, 4, 2, 1, 3, 0, 4, 1, 1, 4, 1, 1, 2, 0, 2, 1, 4, 2, 0, 4, 1, 2, 4, 2, 0, 0, 2, 3, 0, 3, 4, 0, 3, 4, 1, 4, 1, 1, 3, 0, 0, 4, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 4, 4, 0]
pubkeycol544 = [1, 2, 3, 0, 4, 1, 4, 4, 0, 1, 3, 0, 2, 2, 1, 2, 3, 4, 1, 4, 4, 3, 2, 3, 4, 4, 1, 4, 3, 4, 4, 1, 1, 1, 1, 3, 0, 3, 4, 0, 4, 3, 0, 0, 4, 2, 1, 1, 1, 1, 2, 0, 0, 4, 2, 2, 4, 3, 2, 3, 4, 4, 3, 2, 0, 0, 4, 0, 0, 1, 1, 0, 0, 2, 0, 2, 3, 4, 3, 3, 4, 1, 2, 1, 4, 2, 4, 1, 4, 2, 2, 4, 4, 3, 0, 2, 0, 2, 2, 4, 3, 1, 3, 2, 4, 0, 4, 4, 3, 0, 2, 3, 1, 0, 0, 1, 4, 4, 0, 2, 4, 3, 3, 4, 2, 3, 3, 1, 1, 3, 1, 1, 1, 3, 0, 2, 0, 3, 3, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 4, 3, 3, 1, 1, 0, 4, 2, 0, 3, 0, 3, 1, 4, 3, 1, 1, 0, 1, 1, 0, 3, 1, 4, 0, 3, 3, 4, 2, 2, 4, 4, 0, 1, 3, 1, 2, 3, 0, 4, 1, 4, 0, 1, 2, 2, 0, 4, 4, 4, 4, 2, 3, 2, 1, 3, 4, 3, 3, 4, 0, 3, 0, 1, 0, 0, 3, 1, 1, 4, 1, 0, 4, 1, 2, 0, 4, 2, 0, 1, 4, 4, 0, 3, 2, 1, 1, 4, 4, 4, 1, 2, 3, 4, 4, 0, 1, 1, 2, 1, 2, 4, 2, 1, 4, 3, 4, 3, 0, 1, 4, 1, 4, 1, 1, 1, 0, 3, 3, 3, 0, 2, 0, 1, 4, 1, 3, 4, 0, 3, 1, 4, 2, 2, 3, 4, 1, 4, 4, 3, 0, 3, 0, 2, 0, 2, 4, 4, 4, 3, 1, 2, 3, 4, 2, 4, 4, 2, 1, 3, 1, 1, 3, 4, 2, 3, 4, 4, 3, 1, 3, 1, 1, 3, 0, 2, 0, 3, 2, 2, 3, 4, 3, 4, 3, 3, 0, 3, 2, 2, 4, 2, 2, 1, 3, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 4, 4, 3, 2, 3, 2, 2, 4, 4, 2, 0, 2, 2, 4, 4, 2, 1, 0, 0, 0, 2, 3, 0, 1, 1, 0, 3, 0, 2, 0, 1, 0, 3, 4, 3, 3, 3, 2, 2, 0, 3, 3]
pubkeycol545 = [0, 0, 4, 4, 4, 2, 4, 2, 2, 1, 0, 4, 3, 3, 1, 0, 3, 3, 3, 0, 4, 0, 4, 3, 4, 4, 3, 3, 0, 3, 3, 2, 3, 0, 1, 4, 0, 3, 4, 2, 2, 4, 4, 3, 2, 3, 1, 2, 1, 0, 3, 0, 3, 4, 3, 4, 2, 4, 3, 1, 0, 4, 0, 0, 3, 0, 0, 4, 2, 2, 1, 2, 2, 4, 2, 1, 2, 0, 1, 2, 3, 1, 2, 0, 4, 4, 0, 2, 1, 1, 2, 0, 3, 0, 1, 0, 3, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 4, 4, 2, 1, 4, 3, 2, 4, 0, 2, 0, 4, 3, 4, 0, 3, 2, 4, 0, 4, 4, 1, 3, 2, 0, 3, 2, 2, 2, 3, 0, 3, 1, 4, 0, 1, 4, 1, 1, 3, 2, 0, 4, 4, 4, 0, 4, 0, 4, 2, 3, 3, 1, 3, 4, 0, 2, 3, 2, 4, 4, 3, 0, 0, 2, 4, 3, 2, 0, 4, 2, 3, 0, 2, 0, 4, 0, 4, 4, 3, 0, 4, 0, 3, 2, 3, 4, 3, 0, 0, 0, 4, 4, 4, 0, 2, 0, 3, 4, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 4, 0, 4, 0, 3, 1, 4, 0, 3, 3, 3, 3, 4, 1, 4, 0, 3, 4, 1, 4, 2, 1, 2, 3, 2, 4, 3, 4, 0, 3, 1, 1, 2, 1, 4, 0, 4, 2, 0, 4, 4, 0, 4, 4, 0, 4, 2, 2, 4, 4, 2, 1, 2, 1, 4, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 3, 2, 2, 0, 3, 2, 1, 0, 1, 2, 3, 4, 3, 4, 1, 2, 4, 0, 3, 4, 4, 3, 2, 1, 1, 4, 1, 1, 2, 1, 0, 0, 3, 1, 2, 4, 3, 2, 1, 2, 1, 0, 3, 2, 3, 4, 2, 1, 3, 0, 1, 3, 3, 4, 4, 0, 0, 2, 0, 4, 1, 0, 2, 1, 2, 1, 4, 3, 0, 2, 3, 2, 0, 1, 0, 1, 2, 1, 3, 4, 3, 2, 0, 2, 3, 2, 4, 1, 2, 3, 0, 3, 2, 4, 3, 0, 4, 1, 0, 3, 2, 2, 2, 1, 3, 4, 4, 3, 3, 1, 3, 1, 3, 0, 2]
pubkeycol546 = [1, 2, 3, 4, 4, 2, 3, 1, 1, 2, 1, 3, 0, 1, 3, 1, 2, 2, 2, 3, 1, 2, 1, 2, 1, 2, 2, 1, 4, 0, 1, 1, 1, 4, 1, 1, 3, 1, 1, 0, 1, 1, 0, 0, 0, 3, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 3, 1, 1, 4, 1, 1, 2, 0, 4, 1, 2, 3, 2, 4, 3, 3, 3, 2, 0, 0, 0, 4, 3, 0, 3, 3, 2, 1, 1, 4, 3, 3, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 4, 0, 1, 2, 0, 3, 4, 2, 4, 4, 4, 2, 1, 3, 3, 0, 0, 3, 4, 0, 3, 2, 2, 1, 0, 0, 2, 3, 3, 3, 1, 2, 4, 4, 0, 0, 0, 3, 1, 2, 0, 0, 4, 1, 0, 1, 4, 0, 3, 3, 4, 4, 2, 1, 0, 2, 2, 0, 4, 3, 4, 2, 2, 1, 1, 4, 0, 3, 2, 0, 4, 1, 2, 0, 1, 3, 1, 3, 2, 3, 0, 3, 1, 1, 0, 4, 3, 1, 3, 0, 0, 4, 1, 3, 4, 0, 0, 3, 2, 1, 3, 3, 1, 2, 1, 3, 1, 4, 2, 0, 4, 2, 2, 1, 2, 2, 3, 4, 4, 3, 3, 4, 1, 0, 2, 2, 4, 3, 0, 2, 0, 3, 2, 2, 3, 3, 3, 0, 0, 0, 0, 1, 4, 2, 1, 2, 3, 0, 2, 2, 4, 2, 0, 2, 0, 3, 0, 1, 4, 2, 1, 1, 4, 3, 2, 1, 3, 0, 4, 0, 3, 2, 1, 1, 0, 4, 1, 1, 0, 3, 3, 4, 3, 0, 0, 2, 1, 0, 1, 4, 1, 1, 2, 2, 2, 3, 3, 1, 0, 2, 1, 0, 2, 4, 0, 2, 0, 2, 4, 2, 3, 3, 1, 3, 0, 4, 3, 4, 0, 0, 1, 3, 4, 3, 3, 0, 2, 3, 1, 3, 4, 2, 2, 1, 3, 4, 2, 4, 3, 0, 2, 0, 0, 0, 0, 4, 0, 2, 1, 3, 2, 4, 4, 2, 0, 1, 2, 4, 2, 4, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 4, 0, 2, 1, 3, 3, 0, 0, 3, 1, 3, 4, 1, 3, 3, 1, 1, 0, 0, 0, 4, 3, 3]
pubkeycol547 = [1, 3, 4, 1, 1, 3, 2, 3, 2, 0, 1, 4, 1, 4, 0, 3, 1, 0, 0, 4, 2, 0, 1, 3, 0, 1, 3, 2, 3, 1, 4, 2, 3, 3, 2, 0, 0, 2, 3, 3, 1, 1, 0, 3, 4, 1, 1, 3, 2, 1, 2, 4, 3, 2, 3, 4, 0, 4, 1, 4, 2, 2, 0, 0, 1, 0, 4, 2, 4, 3, 4, 4, 1, 4, 0, 4, 0, 4, 2, 3, 4, 1, 4, 3, 3, 4, 4, 3, 3, 4, 4, 4, 2, 1, 4, 3, 2, 3, 4, 1, 0, 4, 1, 1, 0, 3, 2, 2, 3, 0, 0, 1, 2, 0, 4, 3, 1, 3, 0, 1, 4, 1, 4, 1, 1, 2, 4, 4, 4, 2, 4, 3, 2, 0, 4, 2, 3, 2, 2, 0, 1, 3, 2, 1, 0, 3, 1, 0, 3, 3, 3, 0, 0, 0, 1, 3, 3, 2, 2, 2, 0, 1, 4, 3, 1, 3, 2, 0, 1, 1, 4, 0, 1, 4, 2, 4, 2, 4, 2, 3, 0, 4, 1, 0, 3, 1, 3, 4, 1, 1, 3, 0, 1, 2, 4, 3, 4, 4, 4, 0, 3, 2, 4, 3, 4, 0, 1, 1, 3, 2, 2, 3, 2, 4, 4, 4, 2, 4, 4, 3, 3, 3, 4, 3, 3, 2, 1, 1, 0, 1, 4, 4, 0, 1, 3, 3, 0, 4, 4, 2, 0, 4, 1, 3, 2, 2, 3, 4, 1, 2, 3, 3, 1, 2, 4, 4, 4, 3, 1, 2, 1, 2, 3, 4, 3, 4, 4, 1, 2, 2, 0, 0, 3, 4, 3, 1, 3, 4, 0, 4, 0, 4, 0, 0, 1, 0, 2, 3, 3, 3, 2, 3, 2, 3, 4, 0, 2, 3, 0, 4, 0, 4, 4, 3, 3, 2, 3, 2, 3, 3, 2, 3, 1, 2, 1, 1, 4, 2, 2, 3, 2, 2, 1, 0, 0, 1, 2, 0, 2, 3, 3, 4, 1, 0, 4, 4, 3, 4, 0, 1, 0, 3, 2, 4, 1, 2, 2, 3, 0, 0, 2, 4, 4, 2, 0, 4, 2, 3, 0, 0, 0, 0, 4, 1, 3, 4, 1, 2, 1, 4, 4, 4, 1, 4, 4, 2, 1, 4, 0, 4, 1, 1, 1, 1, 0, 3, 3, 2, 3, 0, 0, 3, 3, 2, 4, 2, 1, 4, 3, 4]
pubkeycol548 = [1, 2, 3, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 4, 1, 4, 4, 2, 3, 1, 4, 2, 1, 3, 0, 2, 4, 2, 2, 4, 3, 0, 0, 1, 4, 1, 2, 1, 3, 3, 4, 3, 0, 2, 4, 0, 0, 1, 0, 3, 1, 3, 0, 0, 2, 0, 2, 0, 4, 0, 3, 2, 4, 0, 3, 3, 3, 3, 4, 1, 2, 3, 1, 4, 3, 1, 2, 1, 2, 3, 3, 2, 0, 4, 3, 3, 2, 0, 4, 1, 2, 4, 3, 4, 4, 4, 4, 3, 3, 1, 1, 0, 2, 1, 1, 2, 4, 2, 0, 2, 1, 0, 3, 4, 0, 1, 2, 1, 3, 2, 1, 1, 4, 3, 2, 0, 4, 0, 4, 2, 4, 2, 1, 0, 0, 1, 0, 2, 1, 0, 3, 2, 2, 0, 3, 2, 2, 2, 2, 0, 3, 0, 0, 4, 0, 3, 3, 4, 4, 1, 3, 3, 4, 2, 2, 2, 1, 4, 0, 2, 3, 0, 4, 3, 0, 3, 0, 1, 3, 3, 0, 1, 4, 4, 0, 1, 0, 4, 3, 1, 0, 2, 1, 2, 1, 4, 4, 3, 2, 4, 4, 4, 1, 3, 1, 1, 4, 1, 0, 3, 2, 1, 2, 0, 3, 1, 0, 3, 4, 4, 0, 4, 2, 4, 1, 0, 1, 1, 1, 0, 4, 3, 4, 2, 1, 1, 3, 1, 3, 2, 3, 0, 1, 3, 4, 2, 2, 4, 2, 1, 2, 1, 4, 2, 4, 1, 3, 1, 0, 0, 2, 2, 1, 4, 2, 3, 3, 0, 4, 4, 1, 1, 3, 3, 3, 1, 3, 1, 1, 3, 4, 3, 1, 2, 1, 2, 0, 0, 2, 0, 1, 3, 3, 2, 4, 3, 4, 1, 1, 1, 0, 1, 1, 4, 2, 3, 1, 4, 4, 2, 3, 2, 1, 1, 2, 1, 1, 1, 0, 3, 4, 0, 2, 0, 4, 1, 4, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 3, 4, 4, 1, 1, 0, 4, 4, 4, 4, 1, 4, 1, 3, 1, 4, 3, 0, 3, 0, 4, 0, 3, 4, 2, 3, 4, 2, 2, 1, 3, 4, 3, 1, 4, 3, 2, 1, 0, 0, 3, 4, 4, 1, 0, 1, 4, 3, 0, 1, 4, 3, 3, 0, 2]
pubkeycol549 = [4, 0, 1, 4, 4, 3, 2, 3, 1, 3, 0, 3, 0, 0, 3, 1, 1, 0, 4, 2, 1, 1, 1, 1, 1, 0, 0, 3, 4, 2, 0, 0, 0, 1, 0, 4, 2, 3, 4, 1, 0, 0, 0, 1, 1, 3, 3, 2, 4, 0, 4, 0, 3, 2, 3, 4, 1, 2, 3, 1, 3, 0, 2, 4, 3, 2, 2, 2, 0, 4, 4, 1, 3, 3, 1, 1, 2, 4, 2, 1, 1, 2, 2, 3, 3, 1, 0, 2, 0, 3, 4, 4, 1, 0, 2, 0, 4, 2, 2, 0, 4, 2, 2, 0, 2, 0, 3, 1, 3, 3, 1, 2, 2, 4, 3, 4, 1, 2, 4, 1, 1, 3, 3, 1, 4, 0, 1, 0, 4, 3, 0, 4, 0, 0, 2, 0, 1, 3, 1, 3, 2, 0, 1, 1, 1, 4, 3, 3, 4, 3, 3, 0, 3, 1, 4, 2, 3, 2, 0, 1, 4, 4, 1, 1, 1, 3, 1, 4, 2, 3, 2, 2, 2, 1, 2, 2, 1, 1, 1, 3, 1, 4, 4, 0, 1, 2, 1, 3, 1, 3, 2, 1, 3, 2, 0, 1, 3, 0, 1, 4, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 3, 0, 0, 0, 2, 4, 2, 3, 0, 2, 0, 1, 4, 1, 4, 0, 2, 4, 3, 3, 1, 4, 4, 1, 2, 4, 2, 0, 4, 3, 2, 1, 4, 0, 4, 0, 1, 2, 3, 1, 3, 4, 3, 0, 4, 0, 4, 2, 2, 4, 0, 3, 3, 3, 4, 0, 1, 2, 2, 4, 2, 0, 2, 1, 1, 4, 3, 0, 0, 4, 4, 3, 3, 4, 3, 1, 0, 0, 3, 0, 4, 0, 4, 1, 3, 3, 3, 3, 1, 3, 4, 0, 4, 1, 1, 2, 4, 3, 4, 3, 2, 0, 3, 1, 1, 4, 0, 3, 4, 2, 0, 4, 2, 1, 0, 1, 0, 1, 1, 4, 4, 1, 1, 1, 2, 4, 3, 0, 4, 1, 3, 3, 1, 1, 2, 0, 2, 2, 1, 4, 4, 3, 1, 4, 2, 3, 2, 0, 4, 2, 3, 3, 3, 4, 4, 0, 2, 3, 0, 3, 3, 1, 1, 0, 3, 1, 0, 1, 4, 3, 1, 0, 0, 3, 0, 4, 0, 1, 2, 4, 4, 0, 2, 4, 0, 3, 1, 2, 0]
pubkeycol550 = [1, 2, 1, 0, 2, 1, 4, 0, 2, 0, 2, 3, 2, 0, 1, 4, 0, 1, 0, 3, 4, 1, 4, 0, 3, 2, 4, 4, 0, 4, 3, 2, 0, 3, 2, 0, 3, 0, 3, 2, 1, 4, 0, 2, 3, 4, 3, 3, 1, 1, 2, 2, 0, 0, 4, 1, 4, 1, 0, 1, 3, 2, 0, 1, 1, 3, 0, 0, 3, 2, 1, 3, 4, 0, 4, 3, 0, 3, 3, 1, 0, 4, 2, 0, 4, 4, 3, 2, 4, 3, 0, 4, 4, 0, 3, 4, 1, 1, 4, 3, 2, 2, 4, 0, 1, 3, 0, 0, 2, 1, 4, 1, 3, 0, 3, 4, 4, 3, 0, 1, 4, 4, 1, 1, 4, 2, 3, 3, 0, 0, 0, 0, 3, 4, 4, 0, 1, 0, 4, 2, 3, 0, 4, 2, 1, 0, 3, 1, 0, 3, 4, 1, 3, 3, 3, 4, 1, 3, 4, 3, 0, 0, 0, 3, 2, 4, 2, 3, 3, 0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 1, 1, 3, 1, 2, 2, 1, 2, 4, 3, 0, 3, 3, 1, 2, 2, 4, 0, 1, 0, 1, 3, 2, 0, 2, 4, 4, 2, 3, 4, 0, 2, 4, 4, 4, 4, 2, 3, 0, 1, 1, 1, 2, 4, 0, 2, 0, 3, 3, 4, 2, 3, 1, 4, 4, 0, 3, 1, 4, 3, 4, 2, 4, 4, 4, 2, 4, 3, 2, 1, 3, 4, 1, 4, 0, 0, 1, 1, 4, 2, 2, 1, 3, 3, 4, 4, 0, 1, 4, 1, 1, 3, 3, 0, 2, 1, 2, 4, 3, 1, 2, 4, 4, 4, 4, 4, 4, 2, 1, 3, 4, 1, 3, 2, 0, 0, 3, 2, 1, 4, 4, 4, 2, 1, 2, 1, 0, 2, 3, 2, 0, 4, 3, 0, 2, 4, 3, 1, 1, 1, 3, 0, 3, 2, 4, 4, 0, 3, 3, 2, 3, 2, 1, 3, 2, 4, 0, 2, 3, 3, 2, 3, 3, 3, 2, 1, 3, 2, 2, 3, 1, 1, 3, 2, 3, 2, 4, 3, 2, 2, 0, 0, 0, 0, 3, 4, 4, 4, 4, 0, 2, 3, 0, 0, 4, 4, 0, 1, 4, 1, 2, 4, 0, 2, 1, 1, 1, 1, 2, 3, 4, 1, 3, 4, 1, 4, 1, 2, 4, 1, 2]
pubkeycol551 = [0, 3, 4, 1, 0, 2, 0, 3, 0, 4, 0, 0, 4, 0, 3, 2, 3, 1, 4, 1, 4, 3, 0, 1, 3, 4, 3, 3, 0, 4, 0, 4, 4, 1, 4, 1, 2, 3, 3, 0, 2, 3, 2, 1, 3, 4, 1, 0, 3, 2, 1, 3, 2, 2, 4, 0, 3, 4, 1, 2, 4, 3, 4, 3, 0, 0, 3, 4, 2, 4, 2, 3, 1, 1, 2, 4, 3, 2, 4, 4, 3, 1, 4, 4, 0, 2, 2, 4, 4, 2, 0, 1, 3, 4, 3, 0, 2, 0, 3, 3, 1, 0, 0, 0, 1, 4, 0, 3, 1, 3, 4, 4, 1, 3, 2, 2, 1, 3, 2, 3, 0, 4, 4, 0, 4, 0, 2, 1, 4, 0, 0, 0, 1, 0, 0, 3, 1, 4, 2, 3, 0, 3, 1, 0, 3, 1, 0, 0, 1, 4, 1, 0, 4, 4, 0, 4, 1, 3, 3, 3, 1, 4, 1, 0, 0, 0, 1, 1, 3, 3, 1, 4, 1, 3, 4, 1, 2, 1, 2, 1, 4, 2, 2, 3, 3, 0, 1, 3, 4, 4, 2, 0, 1, 1, 1, 0, 3, 3, 0, 0, 1, 4, 4, 0, 4, 0, 3, 4, 2, 2, 3, 4, 0, 1, 4, 2, 0, 4, 0, 4, 0, 3, 3, 3, 1, 1, 3, 1, 4, 2, 4, 1, 1, 0, 2, 3, 1, 3, 2, 0, 4, 3, 2, 3, 1, 4, 4, 0, 4, 0, 4, 1, 0, 4, 3, 1, 0, 4, 0, 4, 4, 1, 0, 1, 3, 2, 1, 2, 2, 3, 2, 4, 2, 4, 4, 4, 2, 2, 4, 1, 1, 4, 1, 4, 2, 2, 1, 1, 1, 4, 0, 3, 1, 1, 1, 0, 4, 1, 2, 2, 2, 1, 2, 1, 3, 4, 4, 1, 2, 0, 3, 2, 4, 3, 1, 1, 0, 2, 2, 4, 4, 0, 3, 3, 0, 4, 0, 1, 4, 4, 4, 4, 2, 3, 0, 2, 4, 1, 1, 4, 3, 1, 1, 2, 2, 0, 3, 1, 3, 3, 4, 2, 0, 1, 3, 1, 0, 0, 2, 3, 1, 3, 0, 0, 3, 2, 4, 1, 2, 0, 3, 2, 3, 2, 1, 3, 0, 4, 2, 4, 3, 3, 1, 3, 3, 2, 3, 3, 0, 3, 0, 1, 4, 0, 2, 4, 0, 4, 0, 4]
pubkeycol552 = [0, 3, 3, 1, 0, 3, 0, 3, 2, 0, 0, 3, 1, 4, 2, 1, 0, 3, 4, 1, 2, 3, 2, 2, 0, 4, 3, 4, 3, 1, 1, 4, 2, 4, 2, 4, 0, 4, 4, 4, 1, 3, 0, 3, 0, 2, 1, 2, 0, 1, 2, 2, 1, 3, 3, 4, 1, 4, 3, 1, 0, 0, 1, 3, 2, 0, 3, 3, 0, 1, 2, 3, 4, 4, 2, 2, 4, 3, 2, 1, 3, 1, 0, 2, 2, 1, 3, 4, 1, 2, 0, 3, 0, 4, 0, 2, 2, 1, 0, 4, 3, 2, 3, 0, 3, 4, 3, 2, 1, 1, 0, 2, 2, 2, 4, 2, 4, 0, 2, 0, 3, 1, 0, 0, 0, 1, 3, 2, 4, 2, 1, 4, 4, 2, 2, 1, 1, 3, 3, 2, 1, 1, 3, 2, 0, 3, 4, 0, 2, 2, 4, 4, 1, 3, 4, 2, 2, 3, 2, 0, 4, 1, 1, 3, 4, 1, 1, 0, 0, 1, 3, 0, 0, 0, 1, 2, 4, 2, 2, 0, 3, 1, 1, 3, 4, 1, 0, 2, 3, 1, 3, 3, 2, 0, 1, 2, 3, 3, 1, 1, 2, 0, 2, 1, 2, 2, 3, 4, 0, 1, 1, 1, 2, 4, 2, 1, 1, 4, 3, 0, 2, 2, 3, 3, 0, 0, 1, 0, 0, 4, 2, 1, 3, 0, 1, 2, 0, 1, 2, 4, 2, 3, 4, 1, 1, 2, 1, 0, 3, 0, 0, 2, 0, 3, 4, 4, 4, 0, 1, 4, 1, 3, 0, 2, 0, 0, 4, 4, 4, 0, 3, 0, 2, 3, 4, 1, 4, 1, 0, 4, 4, 3, 3, 3, 1, 1, 1, 1, 2, 0, 2, 4, 1, 1, 4, 0, 1, 3, 0, 0, 4, 4, 4, 1, 1, 3, 4, 1, 4, 1, 4, 2, 3, 2, 1, 3, 0, 1, 2, 3, 2, 4, 3, 2, 3, 4, 1, 0, 0, 1, 0, 2, 1, 2, 0, 4, 3, 3, 1, 0, 3, 1, 2, 1, 2, 4, 4, 2, 0, 4, 3, 3, 0, 4, 2, 0, 4, 0, 0, 0, 0, 1, 3, 3, 0, 3, 4, 4, 0, 4, 3, 4, 4, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 1, 2, 1, 4, 2, 3, 1, 2, 1, 4, 2, 1, 4, 3, 0, 0]
pubkeycol553 = [2, 4, 1, 3, 3, 0, 0, 4, 4, 2, 0, 2, 0, 4, 0, 0, 0, 1, 2, 4, 4, 1, 2, 2, 4, 4, 2, 1, 1, 2, 3, 0, 3, 1, 2, 0, 2, 4, 3, 2, 1, 0, 4, 4, 4, 2, 0, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 4, 1, 3, 2, 0, 4, 1, 4, 3, 0, 4, 0, 4, 4, 3, 2, 4, 2, 3, 3, 4, 2, 0, 3, 1, 0, 0, 4, 1, 1, 3, 4, 1, 2, 3, 0, 0, 1, 0, 4, 3, 4, 2, 1, 0, 2, 3, 3, 4, 2, 0, 3, 0, 3, 1, 1, 2, 0, 2, 4, 1, 4, 4, 0, 0, 2, 1, 2, 3, 0, 4, 4, 1, 1, 1, 1, 4, 4, 1, 3, 0, 4, 4, 0, 3, 0, 2, 2, 3, 0, 4, 2, 3, 2, 4, 3, 0, 0, 2, 3, 0, 2, 1, 2, 0, 1, 4, 4, 0, 1, 3, 4, 4, 2, 3, 0, 4, 3, 0, 2, 1, 2, 3, 1, 3, 4, 3, 2, 4, 2, 2, 3, 4, 0, 3, 3, 1, 2, 4, 0, 1, 1, 1, 2, 1, 0, 1, 0, 3, 2, 2, 2, 0, 0, 1, 3, 3, 0, 1, 1, 0, 3, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 1, 0, 1, 4, 2, 2, 2, 3, 0, 0, 0, 0, 1, 0, 1, 3, 0, 2, 2, 3, 3, 1, 2, 0, 4, 1, 2, 0, 4, 2, 3, 1, 3, 1, 0, 1, 4, 4, 3, 4, 2, 2, 2, 1, 4, 3, 4, 0, 1, 2, 0, 4, 4, 0, 0, 4, 0, 0, 2, 3, 0, 3, 0, 3, 2, 3, 2, 1, 3, 3, 1, 2, 3, 3, 0, 3, 4, 2, 0, 1, 4, 3, 2, 3, 1, 1, 4, 2, 2, 1, 2, 2, 3, 2, 3, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 1, 3, 4, 1, 1, 4, 2, 0, 2, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 2, 1, 3, 2, 2, 3, 1, 4, 3, 3, 0, 2, 3, 4, 3, 1, 2, 0, 1, 0, 2, 1, 3, 1, 3, 1, 3, 0, 0, 3, 1, 0, 0, 0, 0, 1, 4, 2, 4, 1, 2, 3]
pubkeycol554 = [4, 0, 1, 1, 2, 0, 0, 0, 2, 4, 2, 1, 4, 1, 2, 2, 1, 1, 2, 3, 4, 3, 4, 2, 0, 1, 1, 4, 4, 1, 4, 1, 1, 3, 2, 0, 3, 3, 3, 2, 1, 4, 4, 0, 4, 3, 3, 3, 0, 2, 1, 3, 4, 3, 1, 1, 0, 4, 1, 0, 3, 2, 3, 3, 1, 1, 3, 1, 4, 2, 1, 0, 3, 2, 1, 1, 2, 3, 2, 3, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 2, 4, 0, 1, 4, 2, 4, 3, 0, 2, 4, 1, 0, 2, 4, 3, 1, 3, 4, 3, 0, 0, 3, 4, 3, 2, 0, 3, 0, 1, 1, 2, 3, 4, 2, 1, 2, 4, 4, 4, 2, 0, 2, 2, 1, 1, 0, 4, 2, 3, 2, 4, 3, 1, 0, 1, 0, 3, 3, 2, 1, 3, 3, 1, 0, 1, 1, 4, 2, 1, 4, 1, 0, 2, 4, 1, 2, 2, 3, 2, 1, 3, 4, 1, 4, 2, 3, 0, 0, 4, 3, 4, 0, 0, 1, 4, 3, 2, 3, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 2, 3, 1, 2, 3, 1, 4, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 4, 2, 4, 1, 0, 4, 0, 1, 0, 1, 0, 3, 1, 2, 1, 1, 1, 4, 0, 1, 4, 1, 1, 4, 3, 3, 2, 4, 0, 4, 4, 2, 2, 3, 4, 3, 1, 0, 4, 4, 1, 0, 3, 0, 0, 0, 4, 3, 2, 4, 3, 1, 1, 3, 4, 0, 1, 1, 3, 0, 0, 3, 4, 2, 1, 3, 3, 0, 0, 4, 3, 2, 4, 4, 1, 0, 4, 3, 2, 3, 3, 3, 4, 2, 4, 2, 4, 0, 2, 0, 4, 4, 3, 4, 2, 4, 0, 0, 2, 1, 1, 3, 3, 4, 0, 3, 2, 3, 4, 1, 1, 0, 4, 1, 1, 1, 2, 1, 0, 2, 4, 2, 2, 2, 0, 4, 0, 4, 1, 2, 2, 0, 2, 0, 4, 2, 4, 1, 1, 3, 3, 3, 4, 1, 4, 1, 3, 0, 0, 0, 0, 3, 3, 2, 4, 2, 1, 3, 1, 1, 1, 0, 1, 1, 3, 4, 2, 2, 2, 2, 0, 3, 4, 4, 1, 2, 1, 2, 2, 1, 0]
pubkeycol555 = [4, 1, 1, 4, 1, 4, 2, 2, 3, 2, 1, 0, 1, 2, 2, 3, 2, 1, 3, 3, 3, 2, 3, 1, 2, 3, 4, 4, 2, 4, 0, 0, 2, 3, 4, 0, 0, 3, 3, 1, 4, 1, 4, 3, 3, 2, 2, 1, 1, 2, 4, 4, 0, 1, 1, 0, 4, 1, 1, 0, 0, 0, 3, 2, 0, 3, 2, 0, 3, 1, 4, 4, 2, 4, 0, 0, 3, 4, 3, 4, 1, 4, 3, 0, 0, 2, 2, 3, 2, 0, 3, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 4, 0, 2, 1, 1, 2, 0, 1, 0, 2, 4, 3, 0, 4, 3, 4, 0, 4, 1, 1, 3, 3, 1, 0, 1, 1, 0, 3, 4, 1, 0, 0, 1, 4, 1, 0, 3, 4, 4, 3, 2, 0, 1, 2, 0, 3, 3, 3, 4, 2, 3, 2, 2, 2, 3, 1, 0, 4, 2, 4, 4, 3, 4, 4, 4, 1, 0, 2, 1, 0, 4, 4, 0, 1, 4, 0, 4, 1, 3, 4, 0, 4, 4, 0, 3, 2, 4, 3, 1, 3, 4, 0, 2, 2, 0, 4, 4, 1, 4, 4, 1, 2, 3, 2, 4, 2, 1, 4, 2, 0, 4, 2, 3, 2, 2, 3, 1, 2, 3, 3, 3, 4, 0, 2, 1, 3, 2, 1, 1, 0, 0, 2, 4, 1, 0, 4, 1, 0, 2, 3, 1, 2, 4, 4, 4, 0, 1, 3, 0, 4, 3, 3, 1, 2, 2, 4, 0, 1, 2, 3, 3, 4, 4, 1, 0, 3, 3, 2, 0, 1, 3, 0, 1, 4, 2, 2, 2, 4, 4, 3, 2, 4, 2, 0, 4, 1, 1, 3, 3, 1, 4, 2, 0, 2, 1, 4, 3, 4, 4, 4, 0, 3, 3, 2, 3, 1, 2, 2, 0, 1, 2, 4, 2, 1, 0, 4, 4, 0, 3, 3, 1, 0, 2, 4, 0, 4, 4, 4, 3, 4, 3, 2, 2, 1, 2, 0, 0, 4, 3, 0, 4, 2, 3, 1, 0, 1, 0, 4, 3, 1, 1, 3, 2, 4, 3, 4, 1, 4, 1, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 2, 0, 1, 2, 0, 3, 3, 3, 1, 3, 1, 3, 3, 2, 2, 3, 2, 2, 3, 1, 1, 2, 0, 0, 4]
pubkeycol556 = [2, 1, 1, 2, 3, 0, 1, 1, 2, 2, 3, 2, 0, 0, 1, 0, 1, 3, 0, 1, 2, 4, 2, 1, 4, 0, 4, 0, 1, 1, 0, 2, 3, 4, 4, 2, 1, 3, 4, 1, 4, 3, 1, 0, 2, 2, 4, 4, 0, 3, 4, 0, 0, 3, 4, 0, 4, 3, 3, 0, 0, 4, 0, 2, 2, 3, 3, 2, 4, 4, 0, 3, 3, 3, 0, 2, 3, 0, 3, 0, 4, 1, 4, 2, 4, 4, 1, 4, 2, 3, 4, 2, 3, 3, 3, 1, 1, 1, 3, 1, 2, 3, 3, 3, 1, 4, 2, 0, 0, 1, 2, 1, 0, 2, 2, 4, 3, 1, 3, 0, 2, 1, 0, 3, 4, 2, 2, 0, 1, 1, 3, 2, 2, 1, 4, 3, 0, 1, 1, 0, 4, 4, 3, 2, 2, 2, 4, 2, 4, 1, 4, 4, 3, 3, 4, 3, 1, 3, 4, 1, 0, 4, 0, 3, 0, 4, 3, 0, 3, 2, 3, 0, 3, 2, 0, 4, 3, 1, 2, 1, 1, 4, 1, 0, 0, 2, 2, 0, 4, 0, 3, 0, 0, 1, 1, 4, 4, 0, 1, 4, 1, 1, 3, 1, 1, 0, 4, 4, 2, 4, 1, 0, 1, 0, 2, 2, 3, 1, 1, 3, 4, 1, 4, 3, 4, 1, 0, 1, 0, 1, 4, 4, 2, 0, 4, 4, 0, 4, 1, 2, 1, 1, 0, 4, 0, 4, 3, 0, 0, 1, 0, 3, 0, 0, 4, 1, 3, 2, 0, 2, 4, 4, 3, 0, 2, 2, 3, 0, 2, 0, 1, 2, 0, 4, 4, 2, 3, 2, 1, 1, 4, 1, 4, 2, 4, 3, 1, 0, 4, 1, 1, 2, 2, 0, 4, 1, 2, 3, 2, 0, 3, 2, 0, 2, 0, 2, 1, 0, 2, 1, 3, 3, 1, 1, 4, 1, 1, 0, 0, 2, 2, 1, 3, 3, 3, 0, 3, 2, 1, 0, 1, 0, 0, 4, 0, 3, 2, 0, 0, 0, 1, 4, 0, 0, 0, 3, 2, 1, 3, 1, 4, 3, 0, 4, 0, 2, 2, 0, 0, 2, 4, 2, 2, 3, 2, 0, 0, 4, 1, 2, 1, 0, 1, 3, 1, 2, 2, 4, 0, 4, 3, 1, 2, 3, 1, 4, 2, 1, 4, 4, 0, 2, 4, 1, 0, 1, 0, 1, 2, 0]
pubkeycol557 = [1, 4, 1, 3, 2, 3, 4, 4, 2, 4, 4, 1, 0, 1, 4, 0, 0, 3, 4, 4, 1, 2, 4, 3, 0, 3, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 3, 4, 1, 3, 0, 2, 1, 4, 0, 0, 4, 3, 1, 1, 1, 0, 3, 3, 4, 2, 3, 3, 3, 0, 0, 0, 3, 3, 0, 4, 4, 2, 1, 2, 3, 0, 3, 0, 2, 2, 0, 4, 1, 3, 4, 1, 4, 4, 3, 1, 3, 2, 4, 0, 0, 4, 1, 4, 4, 1, 0, 2, 3, 4, 1, 1, 2, 0, 2, 1, 1, 3, 3, 4, 3, 2, 1, 0, 4, 2, 0, 3, 4, 1, 1, 3, 2, 0, 2, 3, 3, 3, 4, 0, 4, 3, 2, 2, 2, 2, 3, 1, 2, 3, 4, 0, 0, 2, 0, 4, 2, 1, 1, 3, 2, 2, 0, 1, 0, 1, 3, 3, 4, 4, 0, 2, 4, 1, 1, 2, 0, 3, 4, 1, 4, 4, 1, 0, 2, 0, 3, 3, 2, 4, 1, 0, 2, 0, 0, 0, 2, 4, 4, 4, 1, 0, 0, 0, 3, 0, 2, 3, 0, 0, 0, 4, 2, 1, 1, 4, 0, 0, 1, 3, 3, 0, 1, 0, 4, 4, 1, 4, 3, 1, 0, 4, 2, 0, 0, 2, 3, 3, 0, 3, 3, 2, 3, 1, 4, 0, 2, 1, 2, 0, 2, 4, 0, 4, 1, 1, 1, 2, 2, 0, 0, 2, 4, 0, 3, 3, 0, 2, 3, 2, 2, 4, 2, 2, 1, 2, 2, 4, 1, 4, 2, 4, 1, 1, 4, 4, 1, 2, 4, 0, 1, 0, 2, 2, 2, 2, 1, 2, 4, 0, 0, 2, 0, 1, 3, 3, 4, 2, 1, 1, 0, 1, 4, 2, 4, 4, 1, 0, 2, 1, 3, 3, 0, 0, 3, 2, 3, 0, 2, 1, 2, 3, 1, 0, 3, 4, 0, 0, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 1, 0, 1, 2, 4, 2, 4, 0, 1, 1, 1, 2, 0, 3, 2, 2, 4, 3, 4, 2, 3, 1, 1, 2, 0, 1, 4, 0, 2, 2, 4, 1, 0, 2, 0, 2, 0, 3, 2, 0, 1, 0, 1, 4, 2, 2, 4, 0, 0, 0, 1, 1, 4, 2, 2, 1, 2, 2, 3, 3, 3, 1]
pubkeycol558 = [2, 1, 4, 1, 4, 2, 0, 4, 4, 2, 3, 0, 3, 0, 0, 2, 0, 3, 3, 1, 1, 1, 1, 2, 3, 1, 0, 1, 4, 3, 2, 4, 0, 2, 2, 0, 2, 1, 4, 3, 3, 1, 4, 0, 2, 1, 1, 0, 0, 4, 2, 3, 4, 4, 4, 1, 2, 3, 2, 4, 3, 1, 0, 4, 3, 1, 3, 1, 2, 3, 3, 3, 1, 0, 2, 2, 0, 3, 1, 3, 0, 4, 4, 4, 4, 2, 2, 0, 0, 2, 1, 3, 1, 3, 4, 2, 4, 1, 0, 4, 4, 1, 0, 1, 0, 0, 3, 2, 3, 4, 0, 0, 1, 3, 4, 0, 0, 0, 3, 3, 1, 0, 1, 2, 2, 4, 4, 2, 3, 4, 4, 2, 1, 2, 1, 4, 0, 1, 2, 1, 2, 4, 2, 3, 0, 2, 1, 3, 0, 1, 1, 0, 1, 0, 0, 0, 4, 2, 1, 3, 3, 4, 2, 2, 2, 4, 1, 4, 1, 2, 1, 1, 4, 3, 3, 3, 3, 3, 2, 4, 3, 0, 2, 0, 2, 1, 4, 2, 3, 4, 0, 4, 3, 2, 2, 1, 3, 4, 3, 1, 1, 1, 1, 1, 4, 4, 3, 2, 2, 2, 2, 1, 2, 0, 2, 3, 2, 3, 2, 1, 0, 4, 0, 1, 0, 4, 0, 0, 0, 4, 3, 2, 1, 1, 4, 1, 3, 0, 2, 0, 2, 3, 0, 3, 4, 0, 1, 3, 4, 3, 0, 4, 2, 4, 2, 3, 2, 1, 4, 0, 2, 4, 3, 4, 4, 1, 4, 4, 1, 3, 1, 3, 4, 0, 2, 1, 4, 2, 4, 3, 4, 4, 2, 1, 2, 4, 1, 4, 4, 0, 2, 3, 4, 4, 4, 4, 2, 4, 2, 1, 2, 3, 1, 0, 0, 2, 4, 1, 4, 3, 1, 2, 4, 4, 3, 0, 2, 4, 2, 1, 3, 3, 4, 4, 0, 4, 2, 0, 2, 3, 0, 4, 3, 2, 2, 1, 4, 0, 4, 1, 4, 4, 2, 0, 3, 0, 2, 0, 2, 4, 3, 0, 4, 2, 3, 4, 0, 3, 1, 2, 3, 0, 1, 0, 1, 3, 2, 3, 0, 1, 2, 4, 1, 0, 3, 2, 3, 2, 1, 2, 4, 3, 2, 3, 4, 3, 3, 2, 0, 3, 3, 0, 1, 4, 2, 3, 0, 2, 3, 2]
pubkeycol559 = [1, 4, 2, 1, 0, 1, 3, 2, 4, 3, 4, 1, 4, 3, 2, 2, 4, 0, 3, 4, 2, 1, 2, 1, 2, 3, 1, 4, 4, 1, 0, 3, 0, 4, 0, 2, 3, 1, 1, 2, 0, 1, 2, 0, 0, 0, 4, 4, 1, 3, 1, 3, 4, 0, 3, 1, 3, 3, 0, 3, 3, 0, 0, 1, 3, 1, 0, 0, 0, 1, 2, 4, 2, 0, 0, 2, 2, 4, 3, 1, 3, 2, 3, 2, 3, 3, 1, 2, 1, 2, 4, 4, 0, 4, 3, 3, 2, 2, 3, 0, 0, 4, 3, 3, 0, 3, 3, 4, 4, 4, 2, 2, 2, 3, 0, 3, 3, 2, 4, 3, 1, 1, 2, 3, 0, 2, 1, 3, 1, 2, 2, 2, 0, 3, 0, 2, 3, 4, 3, 1, 2, 0, 4, 4, 2, 2, 1, 0, 0, 3, 0, 1, 1, 3, 4, 2, 0, 3, 0, 4, 1, 0, 0, 1, 1, 0, 2, 1, 4, 1, 0, 4, 4, 1, 2, 1, 3, 4, 0, 0, 3, 3, 0, 1, 1, 0, 3, 3, 3, 4, 1, 1, 4, 1, 4, 1, 0, 4, 0, 1, 3, 1, 4, 1, 3, 4, 1, 0, 2, 1, 4, 3, 2, 1, 3, 3, 4, 2, 0, 1, 4, 0, 0, 4, 1, 3, 2, 3, 4, 3, 1, 0, 3, 2, 1, 3, 2, 4, 0, 4, 4, 3, 1, 1, 2, 0, 2, 0, 0, 3, 1, 2, 3, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 3, 0, 2, 2, 1, 1, 3, 4, 2, 4, 3, 1, 2, 1, 0, 1, 1, 0, 3, 4, 4, 4, 2, 3, 4, 1, 3, 2, 1, 0, 4, 4, 3, 1, 0, 0, 4, 0, 0, 0, 1, 0, 2, 4, 0, 3, 1, 4, 3, 3, 0, 3, 0, 3, 2, 0, 3, 1, 2, 1, 0, 4, 3, 3, 1, 0, 0, 1, 1, 1, 1, 4, 2, 3, 1, 3, 0, 3, 2, 4, 2, 4, 4, 4, 3, 0, 1, 2, 0, 1, 2, 3, 4, 2, 1, 1, 1, 4, 2, 4, 0, 2, 0, 4, 3, 0, 0, 3, 1, 3, 4, 2, 1, 4, 4, 3, 1, 4, 2, 2, 1, 1, 2, 1, 1, 4, 1, 2, 2, 2, 3, 4, 1, 1, 0, 3, 2]
pubkeycol560 = [2, 3, 0, 0, 3, 2, 4, 2, 1, 2, 4, 3, 3, 0, 2, 3, 3, 4, 1, 1, 1, 1, 4, 3, 3, 4, 4, 0, 0, 3, 1, 3, 3, 0, 1, 0, 1, 0, 3, 0, 0, 0, 3, 4, 2, 4, 0, 1, 0, 0, 4, 1, 3, 4, 1, 1, 3, 1, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 4, 1, 3, 1, 3, 2, 3, 0, 2, 3, 4, 2, 0, 2, 2, 0, 0, 3, 2, 3, 1, 2, 0, 1, 1, 3, 1, 2, 3, 0, 1, 4, 0, 1, 1, 3, 1, 4, 4, 3, 1, 2, 0, 3, 4, 2, 1, 4, 0, 2, 1, 2, 4, 2, 1, 1, 4, 2, 2, 0, 3, 3, 3, 0, 2, 4, 0, 4, 4, 2, 0, 0, 1, 3, 3, 0, 1, 4, 3, 3, 0, 3, 3, 0, 1, 3, 3, 0, 2, 0, 1, 1, 1, 3, 4, 0, 1, 4, 2, 2, 0, 2, 2, 4, 0, 0, 2, 3, 3, 0, 3, 1, 2, 4, 4, 4, 0, 1, 3, 1, 2, 3, 1, 4, 4, 1, 3, 2, 0, 1, 3, 2, 0, 4, 2, 0, 0, 3, 4, 0, 3, 4, 0, 0, 0, 3, 4, 0, 4, 4, 1, 2, 3, 1, 4, 0, 4, 4, 2, 0, 2, 1, 0, 4, 4, 4, 1, 0, 3, 1, 3, 2, 1, 0, 3, 3, 2, 4, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 4, 2, 2, 0, 2, 3, 0, 0, 3, 4, 1, 2, 3, 1, 4, 1, 0, 3, 1, 1, 0, 2, 1, 3, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 3, 0, 0, 0, 3, 2, 1, 0, 4, 1, 1, 3, 1, 1, 2, 0, 2, 3, 3, 3, 1, 0, 1, 3, 1, 1, 3, 0, 2, 2, 4, 3, 2, 4, 4, 3, 2, 0, 2, 3, 1, 2, 3, 0, 1, 0, 2, 2, 1, 3, 1, 1, 2, 3, 1, 1, 0, 2, 2, 4, 1, 2, 4, 1, 4, 2, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 1, 2, 3, 3, 2, 0, 4, 3, 3, 3, 3, 0, 4, 1, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 3, 1, 2, 1]
pubkeycol561 = [1, 3, 3, 3, 1, 1, 3, 1, 3, 4, 0, 1, 0, 1, 4, 1, 1, 0, 1, 0, 1, 3, 0, 4, 1, 3, 0, 2, 2, 4, 4, 2, 0, 3, 0, 1, 1, 4, 3, 4, 1, 1, 1, 0, 1, 3, 3, 3, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 3, 1, 1, 4, 0, 1, 0, 4, 3, 3, 3, 2, 1, 1, 0, 2, 1, 3, 1, 1, 1, 4, 0, 2, 0, 0, 1, 1, 4, 2, 2, 4, 1, 3, 2, 0, 3, 3, 2, 4, 1, 0, 3, 0, 4, 4, 2, 4, 3, 4, 1, 3, 2, 1, 0, 1, 1, 3, 0, 4, 3, 2, 2, 3, 4, 3, 3, 3, 2, 0, 2, 1, 2, 3, 2, 2, 3, 3, 2, 3, 0, 1, 0, 4, 4, 2, 0, 4, 1, 4, 0, 3, 2, 3, 0, 1, 1, 2, 1, 3, 3, 1, 1, 3, 0, 1, 4, 1, 4, 2, 2, 3, 2, 3, 0, 1, 4, 2, 2, 2, 4, 0, 3, 2, 1, 1, 2, 4, 2, 3, 3, 0, 3, 4, 1, 4, 2, 3, 0, 0, 0, 1, 4, 3, 1, 2, 4, 0, 4, 1, 4, 3, 0, 0, 4, 2, 1, 4, 3, 2, 2, 1, 3, 3, 2, 0, 1, 4, 4, 3, 2, 2, 0, 4, 1, 0, 1, 1, 0, 4, 3, 3, 1, 3, 3, 3, 2, 0, 2, 4, 1, 2, 4, 1, 0, 4, 1, 4, 0, 1, 1, 3, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 4, 3, 0, 2, 1, 2, 1, 4, 1, 3, 4, 4, 4, 2, 4, 2, 1, 0, 0, 2, 4, 1, 0, 3, 2, 0, 0, 1, 3, 0, 3, 1, 2, 1, 3, 3, 2, 2, 4, 4, 1, 2, 0, 2, 2, 3, 0, 3, 1, 3, 4, 4, 1, 1, 0, 4, 4, 4, 2, 3, 1, 4, 4, 4, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 3, 4, 1, 2, 3, 2, 2, 2, 0, 4, 4, 3, 3, 0, 2, 3, 1, 4, 0, 4, 2, 3, 3, 3, 1, 3, 1, 2, 2, 0, 1, 1, 0, 3, 0, 2, 2, 3, 0, 0, 4, 3, 4, 4, 0, 3, 2, 0, 2, 1]
pubkeycol562 = [1, 1, 3, 0, 4, 4, 1, 3, 1, 0, 4, 3, 3, 4, 1, 4, 0, 3, 2, 1, 4, 2, 4, 2, 3, 1, 1, 3, 3, 0, 2, 2, 3, 4, 1, 4, 0, 1, 2, 3, 2, 0, 0, 1, 0, 4, 0, 4, 1, 0, 1, 1, 4, 3, 1, 2, 0, 4, 0, 0, 0, 2, 2, 1, 1, 4, 4, 4, 2, 2, 3, 4, 0, 0, 4, 2, 4, 3, 4, 1, 0, 4, 4, 2, 0, 4, 1, 3, 1, 3, 0, 1, 0, 2, 4, 3, 4, 4, 1, 3, 2, 4, 0, 1, 1, 0, 3, 1, 1, 4, 1, 0, 4, 0, 1, 4, 2, 3, 3, 3, 4, 3, 2, 3, 4, 1, 4, 0, 1, 3, 2, 4, 0, 4, 0, 0, 3, 3, 4, 1, 3, 1, 0, 0, 1, 2, 2, 1, 1, 3, 0, 0, 3, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 4, 0, 4, 0, 1, 0, 1, 4, 1, 1, 4, 0, 1, 0, 3, 4, 4, 0, 1, 2, 4, 1, 3, 3, 2, 1, 1, 4, 3, 3, 2, 2, 2, 4, 2, 3, 1, 0, 4, 2, 0, 3, 4, 1, 4, 0, 4, 2, 3, 4, 2, 2, 3, 0, 0, 3, 3, 4, 1, 2, 1, 4, 2, 1, 1, 3, 4, 3, 1, 2, 4, 0, 2, 4, 4, 4, 0, 3, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 3, 2, 1, 4, 1, 1, 4, 1, 1, 2, 0, 0, 1, 3, 1, 2, 4, 2, 3, 0, 3, 0, 0, 1, 0, 0, 2, 2, 4, 3, 0, 1, 4, 3, 1, 4, 1, 4, 3, 3, 2, 0, 0, 0, 2, 0, 3, 1, 4, 3, 2, 0, 4, 2, 4, 1, 4, 2, 0, 3, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 0, 2, 3, 0, 4, 2, 3, 0, 4, 1, 2, 0, 3, 1, 1, 3, 4, 4, 0, 0, 3, 0, 2, 4, 0, 3, 2, 4, 0, 4, 1, 0, 1, 0, 1, 3, 2, 1, 3, 0, 2, 3, 0, 0, 0, 1, 4, 2, 4, 2, 4, 0, 1, 2, 0, 1, 1, 3, 2, 2, 2, 1, 3, 2, 2, 4, 1, 1, 2, 1, 3, 3, 2, 4, 1, 4, 1, 4]
pubkeycol563 = [4, 3, 4, 1, 0, 4, 1, 1, 4, 3, 2, 1, 4, 2, 2, 4, 1, 1, 1, 3, 4, 2, 4, 4, 4, 1, 1, 2, 2, 3, 3, 3, 0, 3, 4, 2, 4, 2, 2, 0, 4, 1, 3, 2, 0, 3, 2, 2, 1, 0, 0, 3, 0, 3, 1, 0, 2, 4, 0, 0, 1, 1, 4, 0, 1, 2, 4, 3, 0, 1, 2, 4, 4, 4, 0, 3, 2, 2, 2, 4, 1, 1, 4, 3, 3, 0, 4, 4, 3, 2, 1, 1, 4, 4, 4, 3, 4, 4, 4, 2, 0, 0, 4, 4, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 3, 1, 3, 2, 0, 4, 3, 2, 4, 1, 3, 2, 4, 2, 2, 4, 1, 0, 3, 4, 4, 0, 2, 4, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 3, 4, 4, 2, 2, 4, 0, 3, 2, 3, 4, 4, 1, 4, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 4, 4, 1, 2, 1, 4, 2, 3, 2, 4, 0, 4, 1, 4, 2, 0, 1, 0, 0, 4, 3, 3, 2, 1, 2, 2, 2, 2, 2, 4, 1, 2, 1, 2, 3, 3, 2, 1, 2, 2, 2, 1, 1, 4, 1, 2, 2, 0, 4, 2, 4, 4, 0, 1, 2, 3, 3, 2, 1, 2, 0, 3, 0, 4, 0, 2, 0, 4, 4, 3, 0, 4, 2, 0, 4, 3, 4, 2, 1, 2, 1, 3, 1, 1, 1, 0, 3, 1, 2, 2, 3, 3, 2, 4, 0, 4, 1, 0, 3, 1, 4, 3, 0, 0, 1, 1, 1, 4, 1, 4, 2, 1, 4, 2, 1, 0, 2, 0, 3, 0, 2, 3, 3, 1, 2, 2, 2, 2, 0, 0, 0, 4, 2, 1, 3, 1, 2, 3, 3, 1, 3, 2, 4, 0, 4, 4, 3, 2, 0, 2, 4, 3, 2, 3, 2, 3, 3, 3, 3, 0, 2, 0, 3, 1, 3, 2, 1, 4, 4, 3, 2, 3, 2, 2, 1, 2, 1, 2, 4, 1, 3, 3, 2, 3, 4, 0, 1, 0, 0, 4, 4, 0, 4, 1, 1, 2, 2, 3, 4, 1, 1, 4, 0, 3, 3, 4, 4, 4, 0, 0, 3, 4, 2, 4, 0, 1, 0, 4, 0, 0, 2, 2, 1, 3]
pubkeycol564 = [2, 4, 4, 1, 4, 0, 4, 2, 3, 2, 1, 2, 3, 0, 0, 4, 0, 1, 2, 2, 2, 2, 3, 0, 0, 2, 3, 1, 2, 3, 1, 0, 3, 3, 1, 4, 2, 2, 3, 2, 0, 2, 1, 2, 1, 0, 3, 1, 0, 0, 4, 1, 0, 0, 2, 2, 1, 1, 2, 3, 2, 1, 0, 4, 4, 4, 3, 1, 2, 0, 4, 3, 3, 2, 0, 2, 2, 1, 4, 2, 4, 0, 0, 1, 1, 4, 1, 0, 0, 3, 2, 0, 3, 0, 3, 4, 1, 2, 2, 4, 3, 2, 4, 3, 0, 1, 1, 0, 3, 3, 3, 2, 0, 2, 0, 1, 4, 4, 3, 4, 2, 1, 1, 1, 4, 2, 0, 1, 3, 2, 1, 1, 4, 4, 1, 0, 1, 1, 1, 1, 2, 4, 1, 2, 1, 2, 3, 1, 3, 0, 1, 0, 1, 4, 1, 2, 3, 4, 1, 1, 1, 1, 1, 0, 2, 3, 4, 4, 1, 3, 4, 0, 4, 2, 4, 3, 0, 1, 2, 4, 2, 1, 1, 0, 0, 4, 0, 2, 2, 4, 2, 2, 4, 1, 3, 3, 2, 0, 4, 4, 3, 3, 2, 1, 1, 2, 4, 3, 4, 4, 1, 3, 2, 4, 3, 4, 4, 4, 0, 1, 2, 0, 3, 4, 2, 3, 2, 1, 3, 4, 4, 1, 0, 4, 0, 3, 3, 3, 4, 4, 2, 3, 0, 3, 2, 2, 1, 4, 2, 0, 3, 0, 3, 2, 3, 3, 2, 3, 1, 3, 2, 4, 0, 3, 0, 2, 2, 0, 2, 1, 4, 2, 2, 3, 0, 3, 3, 2, 2, 3, 2, 1, 1, 3, 2, 2, 4, 2, 4, 4, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 3, 2, 4, 4, 0, 2, 2, 0, 1, 0, 0, 4, 0, 0, 0, 3, 4, 1, 1, 2, 1, 2, 3, 0, 1, 0, 4, 2, 2, 1, 0, 4, 0, 2, 2, 4, 0, 0, 4, 3, 2, 4, 0, 4, 3, 4, 2, 3, 4, 4, 3, 0, 1, 2, 0, 3, 1, 4, 3, 2, 1, 1, 4, 1, 3, 1, 2, 4, 3, 1, 0, 3, 1, 4, 0, 1, 2, 3, 3, 4, 3, 0, 3, 1, 1, 2, 3, 3, 2, 1, 0, 0, 2, 3, 0, 0, 3, 2, 0]
pubkeycol565 = [2, 2, 0, 4, 4, 0, 4, 4, 4, 3, 2, 3, 3, 0, 0, 3, 3, 2, 0, 3, 2, 2, 2, 0, 1, 0, 1, 4, 4, 4, 4, 3, 4, 4, 3, 3, 1, 1, 1, 3, 3, 0, 4, 0, 4, 0, 2, 0, 0, 0, 2, 4, 0, 0, 2, 4, 1, 3, 0, 2, 3, 2, 0, 2, 3, 4, 4, 4, 0, 4, 4, 4, 1, 3, 0, 4, 2, 3, 0, 2, 1, 3, 3, 2, 4, 0, 4, 2, 0, 2, 0, 4, 2, 1, 1, 4, 2, 3, 0, 2, 3, 3, 4, 1, 1, 0, 0, 2, 3, 3, 2, 0, 0, 1, 2, 4, 0, 3, 0, 2, 1, 0, 3, 0, 0, 2, 2, 4, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 3, 1, 1, 3, 4, 3, 1, 4, 0, 1, 1, 4, 0, 3, 4, 0, 0, 1, 2, 2, 0, 3, 4, 1, 1, 4, 2, 0, 4, 0, 3, 3, 1, 0, 4, 3, 1, 2, 4, 1, 1, 2, 0, 3, 1, 1, 1, 0, 1, 3, 4, 4, 3, 1, 3, 0, 2, 4, 1, 2, 3, 1, 3, 1, 2, 1, 1, 4, 0, 1, 1, 1, 1, 0, 3, 3, 2, 4, 4, 4, 4, 4, 1, 1, 0, 3, 0, 1, 0, 2, 2, 3, 1, 4, 2, 0, 4, 1, 0, 2, 3, 3, 2, 1, 3, 0, 3, 0, 3, 1, 2, 2, 4, 0, 3, 1, 3, 4, 4, 1, 1, 0, 1, 1, 1, 4, 4, 0, 0, 4, 1, 1, 0, 3, 1, 1, 4, 2, 0, 0, 4, 3, 4, 1, 1, 4, 3, 3, 2, 2, 1, 4, 2, 1, 3, 2, 3, 2, 3, 4, 3, 3, 4, 4, 4, 1, 2, 4, 2, 3, 0, 2, 2, 1, 3, 2, 3, 1, 2, 0, 1, 0, 3, 0, 0, 1, 3, 4, 1, 1, 2, 1, 4, 3, 4, 3, 0, 3, 4, 2, 3, 3, 4, 3, 4, 3, 0, 2, 3, 1, 4, 4, 0, 4, 3, 4, 4, 0, 0, 1, 1, 1, 3, 1, 3, 1, 0, 2, 4, 0, 1, 4, 4, 1, 3, 4, 0, 1, 1, 1, 2, 3, 3, 0, 1, 2, 1, 0, 4, 4, 4, 0, 1, 3, 4, 2, 1, 0, 4, 0, 2, 3]
pubkeycol566 = [1, 0, 3, 2, 4, 4, 0, 1, 2, 1, 2, 3, 1, 2, 2, 0, 4, 2, 4, 1, 3, 0, 2, 2, 0, 4, 1, 2, 2, 3, 4, 2, 0, 0, 3, 4, 2, 3, 0, 3, 2, 3, 2, 2, 3, 2, 0, 2, 4, 0, 2, 2, 1, 1, 2, 3, 1, 1, 1, 3, 0, 1, 3, 4, 4, 4, 3, 4, 0, 0, 4, 2, 1, 1, 4, 0, 0, 0, 1, 1, 3, 3, 0, 3, 4, 2, 4, 1, 1, 4, 3, 4, 2, 0, 3, 0, 4, 1, 3, 1, 0, 2, 4, 2, 3, 4, 4, 2, 3, 2, 0, 4, 2, 3, 0, 0, 3, 4, 4, 0, 3, 2, 1, 3, 2, 2, 4, 0, 0, 2, 2, 4, 1, 4, 0, 1, 2, 3, 3, 4, 2, 4, 0, 3, 0, 2, 0, 1, 2, 3, 2, 1, 4, 2, 0, 4, 3, 3, 3, 1, 1, 1, 1, 3, 2, 3, 2, 4, 1, 0, 4, 0, 1, 2, 0, 1, 0, 4, 4, 1, 1, 1, 1, 0, 0, 4, 3, 0, 2, 3, 0, 1, 0, 0, 3, 1, 2, 4, 4, 4, 0, 4, 2, 4, 1, 0, 4, 2, 2, 1, 2, 2, 1, 1, 0, 1, 3, 1, 0, 2, 3, 3, 2, 0, 3, 1, 0, 0, 4, 3, 2, 3, 3, 0, 0, 0, 4, 4, 1, 4, 2, 2, 0, 3, 1, 0, 2, 2, 4, 1, 2, 0, 1, 4, 0, 0, 0, 4, 1, 0, 0, 1, 3, 4, 2, 3, 2, 1, 4, 0, 1, 1, 0, 4, 2, 4, 4, 1, 1, 0, 1, 3, 2, 1, 4, 2, 0, 4, 4, 3, 0, 1, 3, 0, 2, 3, 4, 4, 3, 0, 4, 2, 1, 1, 2, 0, 2, 4, 2, 0, 3, 3, 1, 1, 0, 3, 0, 4, 1, 2, 2, 0, 0, 4, 3, 2, 4, 4, 1, 2, 2, 0, 1, 4, 1, 0, 1, 2, 1, 4, 1, 1, 0, 4, 2, 2, 2, 1, 1, 3, 2, 1, 0, 4, 4, 2, 4, 1, 0, 1, 0, 4, 4, 2, 3, 3, 2, 4, 2, 1, 4, 2, 0, 4, 3, 3, 1, 1, 1, 1, 2, 0, 4, 1, 2, 1, 3, 4, 4, 1, 4, 1, 2, 3, 3, 0, 4, 4, 2, 4]
pubkeycol567 = [2, 0, 0, 3, 3, 0, 4, 3, 4, 1, 4, 0, 2, 1, 2, 0, 3, 4, 2, 0, 3, 2, 1, 0, 0, 2, 0, 0, 4, 3, 1, 3, 3, 3, 0, 4, 0, 2, 1, 3, 3, 1, 2, 3, 3, 3, 2, 1, 3, 2, 1, 1, 0, 0, 3, 0, 2, 3, 1, 4, 1, 2, 0, 1, 0, 0, 2, 2, 3, 1, 3, 4, 2, 4, 1, 2, 2, 4, 1, 1, 2, 3, 1, 3, 2, 1, 0, 2, 1, 2, 1, 4, 0, 2, 2, 3, 3, 0, 0, 1, 2, 2, 3, 4, 1, 1, 2, 2, 0, 4, 2, 2, 3, 1, 4, 0, 0, 4, 3, 1, 0, 1, 0, 1, 1, 4, 2, 2, 3, 0, 3, 1, 1, 0, 4, 2, 0, 3, 2, 3, 0, 4, 0, 0, 4, 0, 4, 0, 0, 3, 0, 3, 1, 2, 4, 3, 0, 4, 3, 2, 3, 4, 1, 2, 3, 3, 2, 1, 4, 3, 1, 0, 1, 1, 1, 1, 2, 3, 0, 3, 3, 3, 1, 1, 1, 2, 4, 4, 1, 1, 4, 0, 3, 1, 4, 1, 3, 0, 2, 1, 0, 0, 3, 0, 0, 2, 0, 2, 3, 1, 1, 0, 3, 4, 0, 3, 1, 0, 2, 1, 3, 1, 4, 2, 4, 0, 2, 3, 1, 4, 3, 1, 0, 3, 3, 0, 3, 2, 3, 3, 0, 0, 0, 2, 3, 1, 0, 0, 3, 4, 0, 0, 3, 0, 1, 4, 4, 3, 0, 4, 3, 2, 1, 4, 4, 1, 0, 2, 4, 4, 3, 4, 3, 4, 2, 0, 0, 4, 4, 4, 3, 3, 1, 2, 1, 0, 4, 4, 3, 3, 4, 1, 2, 1, 2, 2, 1, 1, 2, 3, 3, 4, 2, 0, 2, 3, 4, 4, 2, 4, 0, 2, 2, 2, 4, 0, 3, 1, 2, 3, 1, 2, 0, 1, 0, 2, 4, 4, 1, 0, 4, 2, 4, 3, 4, 1, 3, 0, 4, 4, 4, 2, 2, 3, 3, 2, 2, 1, 1, 0, 1, 4, 4, 0, 3, 1, 0, 2, 3, 2, 0, 1, 4, 0, 4, 2, 4, 0, 3, 1, 1, 2, 2, 3, 1, 3, 0, 0, 4, 2, 2, 1, 3, 3, 1, 3, 3, 2, 1, 2, 0, 2, 0, 4, 0, 2, 2, 2, 3, 2]
pubkeycol568 = [3, 2, 4, 4, 0, 4, 0, 3, 1, 0, 0, 1, 3, 2, 2, 0, 3, 1, 3, 2, 4, 0, 1, 4, 1, 2, 0, 0, 3, 2, 3, 1, 1, 2, 2, 1, 4, 1, 2, 0, 0, 3, 4, 4, 2, 3, 2, 1, 0, 2, 0, 4, 4, 1, 1, 1, 4, 4, 2, 2, 3, 3, 4, 1, 4, 4, 3, 4, 0, 3, 4, 0, 3, 2, 3, 4, 0, 3, 2, 0, 1, 4, 0, 3, 0, 0, 1, 2, 4, 3, 4, 1, 3, 4, 1, 3, 0, 2, 3, 4, 1, 2, 2, 0, 1, 1, 2, 3, 1, 0, 0, 1, 2, 2, 1, 0, 0, 3, 2, 0, 0, 3, 1, 2, 4, 3, 1, 1, 3, 0, 3, 2, 2, 4, 2, 2, 3, 2, 3, 3, 1, 2, 1, 4, 2, 4, 3, 2, 4, 0, 4, 1, 1, 3, 4, 4, 1, 2, 1, 1, 4, 0, 1, 2, 2, 2, 2, 4, 1, 1, 4, 0, 1, 1, 0, 4, 3, 4, 0, 3, 0, 4, 1, 3, 4, 2, 4, 0, 1, 1, 3, 4, 4, 2, 0, 0, 3, 0, 0, 4, 0, 4, 0, 0, 3, 2, 2, 2, 1, 3, 2, 4, 1, 2, 0, 4, 0, 3, 2, 0, 2, 2, 3, 3, 2, 1, 0, 3, 1, 2, 4, 3, 1, 0, 2, 0, 3, 4, 1, 2, 4, 3, 3, 3, 4, 1, 4, 3, 3, 0, 2, 2, 4, 4, 3, 1, 3, 4, 2, 3, 0, 1, 1, 3, 2, 0, 1, 0, 4, 1, 0, 1, 1, 2, 4, 0, 4, 4, 0, 1, 3, 3, 0, 4, 4, 3, 4, 4, 0, 3, 0, 1, 2, 4, 4, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 3, 0, 0, 0, 4, 1, 3, 0, 4, 2, 1, 4, 3, 1, 1, 1, 1, 4, 1, 4, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 3, 1, 2, 2, 1, 4, 2, 0, 0, 3, 1, 0, 2, 3, 2, 4, 4, 2, 0, 3, 0, 0, 1, 2, 0, 4, 1, 2, 3, 0, 0, 1, 1, 3, 0, 0, 4, 3, 0, 0, 2, 3, 0, 0, 0, 4, 2, 1, 4, 0, 1, 1, 3, 1, 3, 3, 3, 2, 0, 1, 3]
pubkeycol569 = [2, 2, 2, 2, 0, 2, 4, 3, 1, 3, 4, 1, 2, 2, 3, 3, 1, 0, 0, 3, 0, 1, 3, 1, 2, 0, 2, 1, 2, 0, 1, 3, 3, 2, 4, 2, 4, 1, 3, 0, 2, 1, 0, 3, 3, 2, 1, 2, 4, 1, 4, 1, 2, 2, 1, 4, 3, 0, 1, 4, 3, 4, 3, 1, 0, 2, 0, 4, 4, 0, 1, 2, 1, 1, 3, 0, 2, 0, 1, 4, 2, 0, 3, 0, 0, 1, 4, 1, 2, 0, 0, 3, 0, 3, 3, 2, 1, 3, 4, 0, 0, 2, 2, 3, 0, 3, 2, 3, 1, 1, 1, 3, 1, 3, 3, 3, 1, 1, 2, 4, 0, 1, 0, 2, 1, 2, 2, 4, 1, 3, 2, 1, 4, 4, 4, 1, 3, 4, 0, 0, 2, 0, 2, 3, 3, 0, 2, 3, 4, 2, 0, 0, 4, 1, 0, 4, 0, 4, 2, 0, 2, 3, 1, 3, 1, 1, 3, 4, 2, 0, 1, 1, 4, 2, 3, 1, 1, 4, 4, 2, 2, 3, 0, 4, 3, 1, 2, 2, 3, 0, 1, 2, 0, 1, 1, 3, 4, 2, 2, 2, 0, 3, 2, 0, 3, 3, 3, 2, 2, 0, 1, 4, 3, 4, 2, 4, 1, 0, 1, 2, 1, 0, 2, 4, 4, 4, 3, 1, 3, 2, 3, 4, 2, 3, 0, 0, 2, 0, 0, 1, 4, 1, 1, 0, 1, 0, 4, 2, 0, 3, 0, 4, 1, 4, 0, 0, 3, 2, 4, 3, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 4, 3, 1, 3, 2, 0, 1, 4, 0, 2, 4, 1, 4, 1, 0, 2, 2, 2, 2, 3, 2, 3, 3, 2, 3, 0, 3, 3, 0, 3, 3, 4, 3, 4, 3, 3, 1, 2, 4, 2, 4, 3, 4, 1, 4, 2, 0, 2, 1, 2, 4, 3, 3, 1, 0, 0, 0, 3, 3, 1, 3, 4, 2, 3, 2, 4, 0, 1, 0, 4, 4, 1, 3, 1, 4, 0, 1, 3, 2, 0, 1, 0, 2, 4, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 4, 0, 0, 4, 0, 0, 0, 2, 0, 2, 0, 2, 3, 0, 4, 1, 4, 2, 3, 2, 4, 4, 2, 2, 3, 4, 1, 2, 2, 4, 4, 0, 2]
pubkeycol570 = [3, 3, 4, 4, 4, 3, 4, 4, 3, 2, 2, 0, 2, 1, 0, 0, 3, 0, 4, 1, 3, 3, 2, 2, 4, 1, 3, 4, 1, 4, 0, 0, 1, 3, 4, 2, 4, 3, 1, 3, 0, 1, 4, 1, 3, 2, 2, 0, 1, 4, 2, 0, 4, 1, 4, 2, 0, 3, 4, 3, 2, 3, 3, 2, 1, 0, 3, 0, 4, 1, 4, 4, 3, 2, 0, 1, 0, 3, 0, 0, 1, 2, 4, 1, 2, 0, 0, 2, 0, 1, 0, 4, 0, 0, 2, 1, 4, 4, 1, 1, 0, 2, 3, 3, 2, 0, 3, 3, 3, 2, 0, 4, 2, 3, 4, 3, 3, 4, 1, 2, 0, 0, 3, 2, 3, 1, 0, 4, 2, 0, 1, 1, 1, 1, 3, 1, 1, 4, 2, 2, 2, 1, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 1, 2, 3, 0, 3, 0, 1, 1, 0, 3, 1, 0, 3, 0, 2, 0, 3, 0, 4, 3, 4, 2, 2, 2, 3, 2, 4, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 3, 3, 0, 3, 4, 0, 3, 1, 1, 0, 4, 4, 1, 1, 3, 2, 3, 0, 1, 2, 4, 0, 1, 1, 1, 0, 0, 0, 2, 2, 3, 3, 4, 0, 1, 4, 0, 3, 4, 1, 3, 4, 1, 3, 2, 1, 0, 0, 1, 4, 1, 3, 1, 3, 2, 0, 2, 4, 1, 0, 2, 0, 3, 1, 2, 3, 1, 2, 4, 3, 1, 3, 2, 0, 3, 1, 2, 0, 2, 2, 1, 3, 1, 0, 4, 3, 3, 2, 3, 4, 2, 4, 0, 0, 0, 3, 1, 4, 2, 0, 2, 0, 1, 2, 0, 4, 0, 3, 2, 3, 4, 4, 0, 1, 0, 2, 2, 2, 2, 2, 4, 3, 1, 3, 4, 2, 2, 0, 4, 1, 2, 4, 0, 1, 1, 1, 3, 2, 1, 2, 2, 0, 4, 0, 4, 0, 1, 0, 4, 2, 3, 2, 1, 0, 0, 3, 4, 1, 2, 3, 0, 2, 3, 3, 1, 4, 1, 3, 2, 2, 2, 3, 2, 1, 4, 3, 2, 2, 1, 3, 0, 1, 3, 4, 0, 3, 4, 0, 2, 4, 2, 0, 1, 4, 1, 0, 1, 1, 4, 2, 0, 3, 2, 1]
pubkeycol571 = [4, 0, 3, 1, 2, 2, 2, 2, 1, 2, 4, 1, 4, 4, 1, 1, 2, 3, 2, 2, 1, 3, 3, 3, 0, 0, 4, 0, 4, 1, 3, 2, 1, 2, 0, 4, 4, 1, 2, 1, 1, 1, 0, 3, 0, 3, 0, 0, 4, 0, 4, 1, 3, 1, 2, 3, 1, 4, 2, 1, 3, 2, 0, 2, 2, 3, 3, 4, 3, 1, 2, 0, 3, 2, 0, 2, 4, 0, 1, 1, 1, 2, 4, 0, 0, 4, 1, 0, 2, 3, 3, 4, 4, 0, 4, 4, 4, 0, 1, 1, 0, 2, 3, 1, 1, 3, 2, 0, 2, 4, 1, 0, 4, 4, 1, 1, 0, 4, 2, 4, 3, 0, 1, 2, 4, 3, 2, 1, 1, 4, 1, 2, 4, 3, 3, 0, 2, 0, 3, 2, 1, 3, 3, 0, 1, 2, 1, 4, 3, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 4, 3, 1, 1, 1, 3, 1, 0, 3, 4, 1, 4, 1, 1, 0, 4, 4, 1, 0, 0, 0, 1, 0, 0, 3, 1, 2, 2, 3, 4, 3, 4, 2, 4, 1, 3, 3, 3, 1, 1, 3, 4, 2, 0, 4, 3, 1, 1, 4, 1, 3, 4, 2, 3, 0, 0, 2, 4, 0, 1, 4, 0, 0, 4, 0, 1, 1, 2, 4, 2, 3, 3, 4, 0, 3, 1, 1, 1, 2, 1, 3, 0, 3, 1, 0, 0, 1, 0, 1, 1, 4, 4, 1, 1, 1, 0, 3, 1, 0, 0, 4, 2, 3, 4, 0, 1, 4, 3, 3, 3, 0, 3, 0, 2, 2, 3, 4, 2, 1, 0, 3, 0, 0, 3, 2, 1, 2, 3, 3, 4, 4, 4, 1, 2, 4, 3, 2, 2, 4, 1, 0, 2, 4, 1, 4, 2, 4, 0, 2, 4, 1, 4, 0, 3, 2, 1, 3, 0, 2, 4, 0, 4, 2, 4, 2, 4, 3, 2, 3, 2, 4, 2, 4, 2, 1, 3, 0, 1, 4, 0, 1, 2, 1, 4, 3, 4, 0, 0, 2, 2, 1, 1, 3, 2, 3, 1, 4, 0, 1, 1, 1, 1, 4, 0, 3, 1, 2, 2, 3, 3, 4, 1, 1, 1, 3, 2, 3, 1, 2, 4, 2, 4, 3, 0, 0, 3, 3, 2, 4, 4, 3, 4, 3, 2, 3, 0]
pubkeycol572 = [3, 2, 0, 0, 1, 3, 1, 2, 4, 1, 4, 2, 0, 4, 4, 4, 4, 3, 1, 1, 0, 4, 2, 4, 1, 0, 4, 2, 4, 0, 2, 2, 4, 4, 4, 2, 1, 4, 0, 0, 0, 2, 3, 2, 1, 3, 4, 0, 1, 1, 2, 1, 3, 1, 2, 4, 1, 4, 4, 3, 4, 0, 4, 3, 1, 1, 0, 1, 1, 3, 2, 0, 4, 3, 3, 1, 3, 1, 1, 4, 0, 4, 4, 3, 1, 2, 0, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 4, 0, 2, 4, 2, 1, 3, 3, 2, 0, 1, 1, 3, 1, 2, 2, 0, 0, 1, 0, 2, 3, 3, 2, 0, 1, 2, 2, 2, 1, 4, 4, 0, 4, 1, 0, 0, 1, 3, 1, 2, 2, 0, 1, 4, 1, 4, 2, 0, 4, 2, 4, 4, 2, 1, 0, 0, 4, 2, 0, 4, 4, 1, 3, 0, 2, 0, 3, 3, 4, 3, 3, 1, 0, 4, 4, 4, 1, 4, 2, 4, 2, 3, 2, 3, 3, 2, 1, 3, 1, 2, 2, 0, 0, 4, 2, 3, 4, 3, 3, 1, 2, 0, 4, 2, 1, 4, 1, 4, 0, 4, 0, 4, 2, 4, 0, 1, 4, 2, 3, 1, 1, 3, 4, 1, 4, 1, 1, 4, 4, 3, 1, 4, 4, 1, 0, 2, 1, 2, 0, 3, 3, 0, 0, 0, 4, 2, 4, 2, 0, 4, 2, 4, 4, 1, 3, 2, 0, 1, 1, 1, 4, 4, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 0, 0, 4, 4, 2, 3, 2, 1, 2, 0, 0, 0, 1, 3, 2, 3, 2, 1, 0, 2, 1, 3, 4, 4, 4, 0, 3, 0, 1, 2, 3, 0, 0, 3, 4, 3, 0, 4, 0, 1, 4, 2, 0, 1, 1, 0, 4, 1, 3, 4, 1, 3, 2, 0, 3, 1, 2, 2, 0, 0, 3, 2, 2, 2, 1, 3, 1, 3, 1, 3, 2, 3, 3, 4, 0, 2, 3, 4, 4, 0, 1, 4, 2, 0, 2, 0, 4, 2, 3, 2, 0, 3, 1, 2, 1, 1, 4, 0, 2, 3, 3, 2, 4, 1, 1, 0, 1, 4, 3, 4, 0, 2, 0, 2, 0, 1, 3, 3, 3, 0, 0, 3, 0, 3, 4, 4, 3, 3, 4]
pubkeycol573 = [0, 4, 2, 3, 0, 1, 4, 2, 4, 0, 4, 1, 1, 1, 4, 2, 2, 4, 3, 4, 1, 0, 2, 0, 4, 4, 3, 3, 4, 1, 2, 1, 4, 3, 0, 0, 0, 4, 1, 4, 0, 4, 1, 0, 3, 4, 4, 1, 2, 2, 2, 2, 4, 0, 1, 4, 1, 2, 0, 0, 4, 3, 1, 0, 4, 1, 1, 4, 0, 2, 2, 0, 2, 3, 3, 3, 2, 0, 2, 3, 3, 4, 0, 0, 0, 3, 4, 3, 0, 2, 2, 0, 3, 2, 4, 3, 3, 0, 2, 1, 1, 1, 2, 3, 3, 3, 0, 3, 1, 3, 4, 0, 3, 0, 3, 4, 0, 3, 2, 1, 1, 2, 1, 4, 1, 2, 3, 3, 1, 2, 3, 3, 0, 0, 1, 1, 2, 4, 1, 0, 3, 3, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 1, 0, 0, 0, 4, 3, 4, 2, 3, 3, 3, 3, 2, 0, 4, 3, 1, 1, 4, 1, 3, 1, 4, 4, 4, 4, 3, 3, 1, 3, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 4, 3, 2, 3, 3, 3, 4, 0, 0, 4, 2, 0, 1, 1, 3, 0, 3, 0, 4, 2, 1, 0, 0, 2, 0, 1, 0, 3, 0, 0, 3, 4, 1, 1, 1, 3, 0, 2, 2, 4, 1, 4, 3, 3, 3, 1, 0, 4, 4, 4, 3, 4, 3, 1, 2, 3, 0, 4, 1, 3, 0, 3, 3, 1, 0, 3, 4, 0, 1, 1, 2, 4, 4, 2, 0, 0, 4, 3, 1, 1, 2, 3, 0, 3, 1, 0, 1, 3, 0, 1, 3, 1, 1, 1, 2, 3, 2, 3, 3, 1, 2, 0, 0, 3, 0, 3, 1, 4, 2, 0, 0, 1, 1, 0, 3, 0, 0, 3, 4, 4, 2, 2, 1, 0, 2, 1, 2, 4, 0, 4, 1, 2, 2, 4, 4, 1, 4, 2, 1, 4, 1, 3, 2, 0, 0, 4, 2, 3, 0, 2, 2, 4, 4, 4, 0, 3, 3, 2, 1, 4, 4, 2, 2, 3, 3, 4, 3, 4, 3, 0, 4, 0, 4, 0, 1, 3, 4, 3, 0, 4, 0, 4, 2, 0, 3, 3, 1, 3, 2, 0, 4, 4, 4, 2, 2, 3, 3, 2, 2, 2, 4, 3, 4, 2, 0, 2, 1, 0]
pubkeycol574 = [1, 2, 0, 2, 4, 3, 0, 1, 1, 2, 2, 2, 1, 2, 0, 4, 1, 0, 0, 4, 4, 1, 4, 3, 2, 0, 1, 2, 3, 0, 4, 2, 0, 1, 2, 3, 0, 1, 1, 3, 0, 3, 2, 4, 3, 0, 4, 0, 2, 2, 0, 3, 0, 0, 1, 0, 2, 3, 2, 4, 1, 4, 0, 0, 2, 1, 2, 3, 3, 4, 4, 1, 3, 1, 1, 0, 1, 1, 0, 4, 0, 1, 3, 1, 1, 1, 0, 3, 2, 2, 4, 3, 1, 0, 3, 3, 3, 2, 4, 4, 0, 1, 4, 1, 3, 1, 0, 4, 4, 0, 4, 0, 3, 2, 4, 1, 2, 1, 2, 2, 3, 0, 3, 2, 0, 1, 1, 4, 3, 4, 1, 4, 3, 0, 2, 3, 3, 4, 2, 4, 3, 1, 4, 1, 0, 1, 4, 2, 1, 4, 1, 1, 4, 3, 3, 4, 1, 3, 4, 0, 1, 4, 3, 4, 2, 4, 3, 3, 2, 2, 1, 1, 2, 0, 2, 4, 2, 3, 2, 1, 3, 0, 3, 3, 1, 4, 4, 0, 0, 0, 4, 2, 0, 4, 0, 4, 1, 4, 2, 4, 2, 3, 1, 1, 4, 3, 2, 2, 1, 2, 3, 0, 1, 1, 0, 0, 3, 3, 4, 2, 2, 4, 3, 0, 0, 4, 3, 1, 4, 3, 2, 0, 2, 4, 0, 3, 1, 4, 4, 2, 2, 1, 1, 4, 3, 1, 2, 1, 3, 0, 0, 1, 3, 4, 3, 3, 1, 4, 3, 3, 0, 2, 1, 2, 0, 4, 3, 1, 3, 0, 4, 2, 2, 4, 0, 4, 4, 4, 3, 1, 3, 3, 0, 4, 4, 2, 4, 2, 1, 1, 4, 2, 2, 0, 4, 2, 3, 2, 0, 4, 4, 0, 2, 4, 2, 0, 3, 0, 0, 3, 1, 0, 1, 0, 2, 0, 2, 1, 4, 0, 1, 3, 1, 0, 3, 0, 1, 1, 2, 2, 3, 2, 4, 4, 2, 2, 0, 2, 4, 4, 3, 2, 3, 0, 1, 2, 1, 4, 2, 4, 0, 3, 2, 2, 4, 0, 2, 0, 0, 4, 2, 4, 0, 0, 1, 3, 4, 2, 3, 4, 2, 4, 3, 2, 3, 3, 1, 1, 3, 2, 1, 4, 0, 1, 0, 4, 0, 4, 4, 0, 3, 0, 0, 3, 0, 3, 0, 2, 4, 3]
pubkeycol575 = [4, 4, 4, 2, 4, 1, 2, 3, 4, 2, 3, 1, 2, 2, 2, 0, 4, 0, 2, 2, 0, 1, 2, 4, 1, 2, 4, 3, 4, 1, 3, 3, 0, 3, 3, 4, 2, 0, 0, 3, 1, 1, 3, 4, 0, 2, 1, 3, 2, 1, 2, 1, 1, 4, 3, 2, 0, 0, 0, 0, 0, 3, 3, 3, 4, 4, 0, 2, 0, 0, 2, 2, 3, 1, 0, 3, 4, 4, 0, 1, 4, 1, 0, 0, 4, 2, 1, 3, 0, 1, 4, 3, 2, 3, 0, 2, 3, 2, 2, 4, 4, 4, 2, 0, 1, 4, 2, 3, 4, 0, 4, 2, 0, 0, 0, 2, 3, 0, 0, 4, 4, 4, 4, 3, 1, 4, 0, 3, 1, 2, 0, 1, 1, 3, 3, 0, 1, 0, 3, 2, 1, 3, 2, 4, 3, 2, 0, 4, 0, 1, 1, 1, 1, 2, 1, 4, 0, 2, 2, 0, 2, 2, 2, 4, 3, 1, 3, 4, 2, 1, 0, 2, 3, 3, 1, 3, 0, 4, 1, 1, 0, 0, 3, 0, 1, 4, 1, 1, 0, 3, 4, 2, 1, 4, 1, 1, 0, 2, 3, 1, 0, 4, 4, 3, 0, 3, 3, 1, 1, 0, 3, 2, 1, 3, 2, 3, 4, 4, 4, 3, 1, 1, 1, 4, 0, 4, 3, 3, 4, 2, 2, 0, 0, 0, 2, 2, 3, 0, 1, 0, 1, 4, 0, 4, 4, 1, 1, 2, 4, 0, 4, 2, 4, 4, 4, 3, 2, 1, 0, 0, 3, 1, 4, 3, 2, 4, 4, 3, 0, 1, 0, 3, 0, 4, 4, 3, 0, 4, 2, 1, 2, 1, 4, 1, 2, 2, 2, 0, 4, 0, 3, 4, 3, 2, 0, 2, 2, 4, 0, 0, 0, 0, 3, 4, 0, 1, 1, 2, 3, 1, 0, 2, 4, 3, 2, 3, 4, 0, 3, 3, 0, 4, 2, 4, 4, 4, 2, 3, 2, 4, 4, 4, 2, 4, 4, 2, 4, 0, 2, 4, 1, 2, 4, 1, 4, 2, 4, 0, 2, 2, 0, 2, 0, 1, 3, 2, 2, 0, 1, 1, 3, 0, 3, 3, 1, 3, 2, 3, 0, 1, 4, 4, 2, 3, 1, 1, 2, 2, 2, 1, 0, 0, 4, 3, 2, 0, 2, 1, 3, 4, 1, 3, 2, 3, 1, 1, 3, 1, 4, 3]
pubkeycol576 = [0, 2, 0, 1, 1, 4, 2, 4, 3, 0, 3, 0, 2, 3, 3, 0, 0, 3, 1, 3, 3, 3, 0, 0, 0, 1, 4, 2, 2, 2, 3, 2, 3, 2, 2, 0, 4, 3, 1, 1, 1, 4, 1, 1, 4, 3, 3, 4, 1, 3, 4, 2, 0, 1, 1, 3, 3, 2, 2, 3, 0, 4, 0, 4, 2, 1, 0, 1, 3, 4, 0, 0, 2, 4, 1, 3, 1, 1, 3, 4, 2, 4, 4, 3, 3, 2, 4, 1, 1, 2, 3, 0, 1, 0, 2, 4, 2, 4, 4, 2, 0, 2, 4, 2, 1, 3, 4, 4, 0, 1, 3, 4, 0, 4, 1, 4, 3, 3, 0, 2, 2, 4, 1, 4, 3, 4, 1, 1, 0, 4, 2, 0, 2, 3, 0, 1, 4, 3, 0, 1, 3, 2, 2, 4, 4, 3, 2, 3, 2, 0, 0, 0, 3, 1, 4, 0, 4, 3, 4, 3, 4, 2, 0, 1, 0, 3, 2, 0, 0, 0, 2, 4, 1, 0, 4, 3, 3, 0, 0, 2, 1, 2, 4, 2, 3, 0, 3, 3, 2, 4, 3, 1, 0, 0, 4, 0, 0, 4, 4, 4, 3, 4, 0, 4, 2, 0, 4, 2, 2, 0, 3, 4, 1, 3, 1, 1, 4, 1, 4, 2, 3, 4, 3, 1, 3, 3, 0, 2, 4, 3, 0, 0, 4, 3, 2, 4, 4, 3, 0, 1, 0, 4, 0, 2, 4, 0, 3, 4, 4, 2, 1, 2, 1, 3, 0, 3, 3, 0, 1, 4, 0, 0, 4, 4, 1, 2, 0, 2, 2, 4, 4, 2, 2, 4, 1, 4, 2, 3, 4, 2, 0, 0, 0, 0, 0, 2, 3, 4, 1, 3, 1, 4, 4, 3, 1, 1, 0, 3, 4, 1, 3, 2, 3, 3, 0, 1, 0, 4, 2, 2, 1, 3, 4, 1, 3, 3, 4, 3, 3, 0, 1, 3, 2, 1, 3, 4, 1, 3, 4, 1, 3, 2, 2, 0, 3, 1, 1, 2, 4, 1, 1, 4, 4, 0, 0, 0, 4, 1, 0, 1, 4, 0, 3, 4, 0, 2, 1, 1, 1, 3, 1, 1, 2, 1, 2, 3, 3, 1, 1, 2, 2, 0, 4, 2, 1, 3, 4, 2, 3, 0, 2, 4, 1, 1, 2, 3, 1, 4, 4, 4, 4, 1, 1, 3, 3, 1, 1, 3, 0, 1]
pubkeycol577 = [0, 4, 1, 3, 4, 4, 3, 3, 4, 3, 2, 4, 0, 1, 3, 1, 2, 2, 4, 4, 4, 3, 0, 3, 2, 0, 4, 1, 3, 3, 0, 4, 1, 3, 2, 0, 3, 2, 4, 0, 3, 4, 0, 1, 4, 1, 0, 1, 3, 1, 2, 3, 4, 1, 2, 2, 2, 3, 1, 1, 2, 4, 3, 1, 4, 3, 0, 2, 0, 0, 0, 0, 4, 0, 3, 3, 4, 4, 0, 1, 1, 0, 1, 2, 1, 3, 1, 4, 2, 0, 4, 1, 3, 4, 4, 4, 4, 2, 2, 3, 2, 1, 0, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 3, 4, 2, 4, 2, 3, 4, 4, 0, 0, 3, 4, 3, 1, 2, 2, 3, 2, 0, 4, 4, 1, 4, 3, 3, 4, 1, 4, 1, 0, 1, 3, 2, 4, 2, 3, 1, 1, 2, 4, 0, 1, 4, 1, 2, 3, 0, 0, 0, 4, 4, 3, 1, 2, 2, 4, 1, 0, 3, 4, 1, 0, 0, 1, 2, 3, 4, 1, 4, 4, 3, 3, 2, 0, 1, 4, 0, 2, 1, 0, 4, 1, 3, 4, 1, 0, 3, 1, 4, 2, 4, 2, 3, 4, 3, 3, 3, 4, 1, 3, 1, 2, 0, 4, 1, 3, 4, 1, 4, 3, 1, 1, 2, 3, 3, 3, 4, 1, 0, 0, 4, 0, 0, 3, 0, 2, 1, 4, 1, 0, 1, 1, 2, 4, 3, 2, 3, 4, 2, 0, 1, 3, 3, 2, 0, 1, 2, 1, 3, 2, 0, 3, 3, 0, 2, 3, 4, 4, 4, 4, 0, 2, 0, 2, 4, 1, 3, 0, 1, 0, 0, 2, 0, 2, 1, 0, 3, 3, 2, 3, 4, 3, 2, 2, 4, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 4, 3, 3, 1, 1, 1, 3, 4, 0, 3, 0, 2, 4, 4, 0, 0, 3, 4, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 4, 1, 3, 1, 3, 3, 1, 3, 2, 4, 1, 2, 4, 2, 1, 3, 3, 2, 4, 4, 0, 4, 2, 2, 2, 0, 0, 0, 3, 0, 3, 0, 4, 3, 2, 3, 2, 3, 3, 3, 0, 3, 4, 4, 4, 3, 0, 3, 4, 2, 0, 1, 2, 2, 0, 4, 1, 4, 0]
pubkeycol578 = [2, 2, 0, 1, 4, 2, 1, 3, 1, 3, 4, 3, 2, 4, 4, 0, 4, 0, 3, 1, 1, 3, 3, 1, 0, 1, 2, 3, 4, 0, 0, 1, 3, 1, 2, 4, 2, 3, 0, 0, 3, 0, 2, 2, 3, 0, 3, 4, 0, 2, 1, 1, 3, 1, 4, 1, 1, 3, 2, 1, 1, 3, 3, 2, 0, 4, 0, 1, 0, 3, 0, 2, 3, 3, 3, 1, 1, 3, 1, 2, 3, 2, 1, 0, 3, 4, 0, 3, 1, 4, 0, 2, 4, 3, 1, 1, 0, 2, 3, 2, 3, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 4, 0, 3, 2, 3, 0, 2, 3, 0, 2, 4, 2, 1, 3, 1, 3, 4, 2, 0, 2, 2, 4, 2, 4, 3, 4, 0, 3, 0, 3, 0, 3, 4, 2, 2, 1, 3, 0, 2, 2, 1, 0, 3, 0, 3, 2, 4, 3, 3, 3, 2, 3, 2, 1, 4, 2, 4, 3, 0, 2, 1, 2, 4, 2, 1, 4, 3, 2, 4, 0, 3, 3, 4, 2, 3, 2, 3, 2, 0, 0, 1, 3, 3, 1, 2, 1, 1, 3, 4, 0, 0, 0, 1, 1, 1, 0, 4, 4, 2, 3, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 4, 3, 4, 2, 4, 0, 3, 3, 4, 0, 3, 4, 4, 3, 2, 3, 1, 0, 0, 0, 1, 0, 3, 1, 2, 1, 4, 1, 3, 0, 1, 0, 2, 0, 0, 3, 3, 4, 4, 2, 2, 2, 4, 4, 4, 2, 1, 1, 1, 4, 2, 4, 4, 3, 4, 4, 2, 1, 4, 1, 3, 1, 4, 4, 2, 3, 0, 4, 1, 4, 2, 2, 2, 4, 3, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 3, 1, 3, 0, 4, 4, 2, 3, 2, 4, 2, 3, 1, 1, 0, 2, 0, 3, 0, 0, 0, 2, 1, 3, 4, 4, 2, 1, 4, 2, 4, 4, 0, 2, 2, 3, 3, 3, 3, 0, 3, 3, 0, 2, 3, 3, 1, 4, 4, 1, 4, 1, 1, 0, 3, 4, 4, 3, 4, 0, 1, 0, 0, 3, 3, 4, 3, 4, 3, 3, 0, 3, 0, 2, 1, 4, 1, 0, 1, 0, 2, 0, 2, 0, 4, 4, 1, 1, 2, 2, 1, 1, 0, 4]
pubkeycol579 = [0, 3, 3, 2, 0, 3, 1, 3, 3, 1, 4, 2, 0, 4, 4, 3, 1, 4, 1, 0, 2, 3, 1, 1, 2, 2, 0, 0, 0, 1, 4, 4, 3, 4, 4, 2, 2, 0, 1, 0, 0, 0, 1, 3, 2, 0, 3, 4, 4, 2, 3, 0, 0, 1, 2, 3, 4, 4, 3, 1, 4, 4, 4, 1, 0, 3, 1, 4, 2, 3, 3, 2, 1, 3, 3, 2, 2, 3, 4, 0, 0, 3, 1, 2, 3, 1, 4, 2, 0, 2, 2, 4, 1, 2, 4, 4, 2, 1, 4, 0, 3, 2, 2, 2, 4, 0, 3, 3, 3, 4, 4, 2, 0, 2, 1, 3, 2, 1, 2, 2, 3, 2, 2, 4, 3, 3, 2, 4, 1, 0, 2, 1, 0, 2, 2, 4, 0, 2, 1, 3, 1, 2, 2, 4, 0, 0, 2, 4, 1, 1, 3, 2, 2, 2, 4, 0, 1, 2, 3, 2, 2, 0, 4, 0, 2, 0, 2, 0, 3, 1, 3, 1, 4, 3, 1, 1, 0, 1, 0, 4, 0, 4, 2, 4, 0, 2, 4, 2, 3, 1, 3, 4, 3, 2, 3, 2, 1, 4, 2, 2, 3, 1, 2, 1, 2, 1, 2, 4, 2, 0, 3, 4, 2, 4, 1, 3, 3, 3, 3, 3, 0, 4, 1, 3, 0, 3, 0, 2, 0, 4, 0, 1, 3, 4, 3, 2, 1, 4, 1, 0, 1, 4, 1, 4, 1, 0, 1, 1, 4, 4, 3, 0, 3, 1, 0, 0, 3, 0, 4, 3, 1, 0, 1, 0, 0, 2, 4, 3, 3, 2, 3, 1, 0, 4, 3, 3, 1, 1, 0, 2, 4, 1, 2, 0, 4, 4, 1, 4, 3, 4, 3, 3, 2, 2, 3, 0, 0, 1, 4, 0, 3, 4, 4, 2, 3, 1, 3, 1, 0, 4, 2, 4, 4, 4, 1, 3, 3, 0, 4, 3, 1, 2, 0, 2, 0, 3, 3, 3, 2, 4, 3, 3, 0, 3, 3, 0, 1, 4, 3, 0, 3, 1, 0, 4, 3, 2, 0, 0, 0, 2, 3, 4, 0, 1, 2, 4, 1, 2, 4, 0, 2, 4, 1, 3, 0, 1, 4, 1, 4, 3, 4, 0, 3, 4, 1, 1, 1, 0, 0, 0, 2, 4, 0, 1, 1, 3, 0, 3, 2, 1, 2, 3, 0, 1, 4, 2, 4, 2, 4, 4]
pubkeycol580 = [2, 2, 4, 1, 3, 0, 3, 0, 1, 4, 4, 4, 3, 2, 3, 3, 0, 2, 4, 0, 1, 1, 0, 3, 2, 0, 1, 1, 2, 1, 0, 2, 3, 4, 4, 2, 2, 2, 2, 3, 1, 2, 0, 2, 1, 4, 3, 1, 3, 0, 1, 2, 1, 0, 3, 3, 4, 1, 2, 4, 0, 3, 1, 3, 3, 1, 3, 2, 2, 1, 1, 0, 0, 4, 1, 3, 1, 3, 1, 2, 4, 2, 2, 1, 1, 2, 0, 1, 3, 0, 3, 2, 3, 0, 4, 0, 1, 1, 2, 3, 0, 2, 0, 0, 4, 3, 0, 1, 1, 0, 1, 3, 3, 4, 2, 2, 3, 1, 1, 2, 1, 0, 0, 0, 1, 4, 0, 4, 4, 1, 4, 1, 1, 3, 0, 1, 2, 1, 3, 1, 3, 2, 4, 2, 0, 1, 4, 3, 1, 2, 0, 0, 2, 1, 4, 2, 2, 2, 3, 3, 0, 2, 1, 3, 3, 2, 0, 4, 3, 4, 1, 4, 4, 0, 4, 1, 4, 3, 4, 4, 1, 1, 1, 0, 3, 3, 0, 0, 4, 0, 4, 2, 1, 2, 2, 4, 4, 3, 2, 0, 0, 3, 2, 3, 3, 2, 2, 3, 2, 1, 3, 4, 1, 0, 3, 1, 1, 1, 2, 0, 0, 0, 3, 4, 4, 2, 3, 4, 4, 0, 1, 0, 0, 2, 3, 3, 1, 1, 4, 0, 0, 3, 0, 0, 4, 1, 0, 4, 1, 0, 0, 1, 4, 4, 2, 1, 4, 2, 2, 3, 3, 1, 1, 1, 4, 3, 0, 3, 2, 4, 1, 4, 2, 4, 0, 2, 2, 2, 3, 3, 3, 1, 0, 2, 3, 0, 1, 0, 4, 4, 3, 0, 2, 3, 4, 1, 3, 0, 2, 3, 3, 0, 0, 1, 4, 4, 2, 4, 4, 3, 2, 2, 2, 1, 3, 1, 2, 2, 3, 3, 1, 4, 1, 2, 2, 1, 2, 4, 4, 2, 1, 4, 4, 0, 1, 4, 4, 4, 1, 0, 1, 1, 4, 1, 0, 1, 4, 2, 2, 1, 4, 4, 4, 4, 2, 4, 1, 0, 0, 4, 2, 0, 2, 4, 4, 0, 0, 0, 2, 4, 3, 3, 0, 2, 0, 4, 4, 3, 0, 3, 3, 3, 2, 0, 2, 1, 2, 1, 2, 2, 3, 1, 1, 3, 3, 0, 1, 1, 3, 3]
pubkeycol581 = [4, 4, 0, 2, 0, 0, 0, 1, 2, 2, 4, 3, 2, 4, 0, 0, 4, 4, 0, 0, 2, 0, 2, 1, 1, 3, 4, 4, 1, 2, 2, 1, 4, 3, 2, 0, 4, 0, 0, 3, 4, 4, 0, 3, 4, 4, 2, 1, 3, 2, 1, 0, 1, 1, 4, 1, 4, 2, 4, 2, 2, 4, 3, 4, 4, 0, 0, 3, 2, 1, 4, 2, 1, 2, 4, 1, 0, 2, 4, 2, 3, 3, 0, 2, 2, 4, 1, 1, 2, 4, 2, 2, 4, 0, 0, 4, 4, 0, 1, 0, 3, 1, 1, 4, 0, 0, 2, 4, 0, 0, 0, 3, 3, 0, 2, 0, 3, 1, 4, 2, 1, 3, 1, 1, 3, 3, 1, 4, 2, 1, 0, 4, 2, 2, 2, 2, 2, 2, 1, 3, 4, 0, 3, 2, 4, 4, 4, 4, 2, 4, 3, 3, 4, 4, 0, 3, 1, 2, 0, 2, 4, 2, 3, 3, 2, 4, 2, 2, 3, 4, 4, 1, 2, 4, 2, 3, 0, 4, 0, 3, 4, 0, 4, 4, 0, 4, 4, 2, 3, 4, 4, 3, 4, 2, 4, 0, 0, 3, 4, 3, 2, 1, 0, 4, 3, 0, 1, 3, 4, 4, 4, 2, 2, 4, 1, 3, 2, 1, 0, 2, 2, 1, 0, 1, 3, 4, 4, 4, 1, 4, 4, 0, 1, 2, 2, 4, 3, 2, 4, 4, 2, 2, 1, 4, 0, 4, 1, 3, 4, 3, 0, 1, 1, 2, 3, 4, 1, 1, 4, 3, 3, 0, 0, 0, 0, 4, 1, 0, 4, 4, 1, 2, 2, 3, 4, 4, 1, 1, 3, 1, 1, 1, 4, 2, 4, 0, 0, 4, 3, 4, 3, 3, 0, 0, 4, 3, 4, 3, 3, 0, 1, 2, 4, 3, 2, 3, 1, 3, 2, 3, 1, 0, 3, 1, 2, 3, 1, 3, 3, 3, 0, 4, 0, 4, 3, 0, 4, 0, 2, 2, 3, 2, 1, 4, 1, 4, 0, 0, 0, 0, 3, 4, 2, 4, 1, 4, 3, 2, 2, 1, 1, 4, 0, 0, 2, 3, 3, 4, 3, 0, 3, 3, 1, 4, 2, 2, 0, 0, 2, 0, 4, 1, 0, 0, 0, 4, 3, 3, 0, 3, 2, 3, 2, 4, 4, 3, 4, 1, 0, 2, 3, 1, 3, 4, 1, 4, 1, 3, 0, 0]
pubkeycol582 = [3, 4, 1, 0, 1, 3, 0, 2, 1, 4, 1, 0, 1, 1, 0, 4, 0, 3, 4, 2, 3, 3, 0, 3, 0, 1, 0, 1, 4, 1, 4, 1, 0, 4, 3, 3, 2, 4, 0, 4, 4, 0, 1, 3, 4, 1, 2, 2, 0, 1, 0, 3, 3, 1, 1, 4, 2, 1, 0, 0, 2, 4, 0, 1, 1, 3, 3, 2, 3, 0, 3, 1, 4, 4, 2, 1, 2, 2, 2, 3, 3, 2, 1, 2, 1, 2, 2, 2, 4, 2, 1, 3, 3, 0, 1, 4, 4, 4, 3, 3, 2, 4, 2, 1, 2, 3, 4, 4, 3, 4, 3, 2, 1, 3, 3, 2, 3, 3, 0, 1, 0, 2, 3, 1, 2, 4, 3, 1, 0, 2, 3, 1, 4, 2, 2, 0, 0, 2, 3, 2, 0, 2, 1, 4, 1, 1, 0, 2, 1, 4, 3, 3, 3, 0, 3, 4, 1, 4, 3, 1, 0, 1, 3, 0, 0, 4, 4, 3, 0, 3, 4, 4, 1, 3, 4, 1, 0, 2, 2, 3, 0, 4, 2, 1, 4, 2, 4, 4, 1, 4, 3, 1, 4, 1, 4, 1, 3, 0, 0, 2, 0, 2, 4, 2, 0, 2, 2, 3, 3, 1, 2, 0, 2, 4, 2, 0, 0, 1, 0, 3, 4, 4, 4, 4, 1, 4, 2, 2, 1, 4, 3, 0, 2, 1, 1, 2, 0, 4, 4, 2, 0, 1, 2, 3, 0, 1, 3, 0, 2, 3, 0, 0, 2, 0, 3, 2, 1, 3, 2, 1, 2, 1, 3, 0, 4, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 4, 2, 2, 1, 4, 2, 0, 3, 1, 3, 3, 3, 2, 4, 1, 2, 0, 0, 2, 0, 2, 0, 3, 0, 0, 2, 2, 0, 4, 2, 4, 3, 2, 3, 0, 1, 1, 0, 4, 4, 4, 3, 4, 1, 4, 4, 1, 3, 2, 4, 0, 1, 3, 2, 1, 4, 1, 1, 4, 0, 3, 1, 1, 0, 1, 3, 4, 3, 4, 2, 1, 4, 2, 4, 3, 3, 0, 3, 3, 2, 4, 3, 4, 4, 3, 1, 4, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 4, 0, 1, 4, 3, 2, 3, 0, 1, 0, 0, 2, 4, 0, 0, 4, 1, 1, 1, 3, 1, 3, 2, 3, 0]
pubkeycol583 = [0, 2, 0, 1, 3, 0, 3, 0, 4, 2, 2, 0, 0, 4, 1, 1, 3, 2, 1, 4, 4, 1, 4, 1, 0, 1, 2, 0, 4, 3, 4, 1, 1, 3, 0, 4, 3, 0, 3, 1, 0, 4, 3, 3, 4, 3, 2, 0, 2, 1, 3, 2, 0, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 3, 4, 1, 0, 2, 1, 4, 1, 3, 0, 3, 1, 1, 1, 3, 0, 0, 4, 2, 2, 0, 0, 3, 3, 2, 3, 4, 3, 2, 1, 1, 0, 3, 4, 4, 0, 2, 2, 4, 3, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 3, 0, 0, 1, 0, 2, 4, 2, 3, 3, 0, 3, 0, 1, 1, 2, 3, 2, 1, 3, 1, 3, 0, 4, 2, 1, 0, 1, 2, 4, 4, 4, 3, 3, 3, 0, 3, 2, 2, 0, 1, 2, 3, 1, 0, 2, 3, 0, 4, 1, 1, 4, 4, 4, 4, 2, 1, 1, 1, 2, 1, 3, 2, 0, 3, 3, 2, 4, 3, 0, 2, 0, 1, 0, 0, 0, 1, 2, 3, 0, 1, 4, 2, 0, 4, 1, 3, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 3, 4, 2, 0, 3, 0, 1, 1, 1, 2, 0, 0, 2, 1, 4, 0, 2, 2, 0, 3, 0, 3, 3, 1, 2, 4, 4, 1, 4, 3, 2, 4, 2, 1, 1, 2, 3, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 4, 1, 1, 2, 3, 4, 1, 4, 1, 0, 4, 4, 2, 2, 0, 2, 1, 1, 3, 2, 4, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 3, 3, 3, 4, 0, 2, 1, 2, 3, 2, 4, 4, 2, 0, 4, 2, 3, 3, 2, 4, 3, 2, 0, 0, 2, 3, 3, 0, 3, 2, 1, 0, 1, 3, 3, 2, 2, 0, 3, 0, 1, 0, 4, 2, 3, 1, 2, 4, 0, 4, 1, 0, 2, 2, 3, 0, 1, 3, 0, 2, 2, 0, 0, 2, 0, 1, 1, 3, 0, 0, 4, 0, 2, 2, 1, 1, 3, 2, 3, 3, 2, 1, 1, 0, 4, 2, 3, 2, 3, 1, 2, 4, 2, 0, 0, 0, 2, 3, 1, 2, 3, 4]
pubkeycol584 = [2, 1, 0, 4, 3, 0, 3, 3, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 4, 4, 2, 1, 1, 0, 0, 3, 0, 2, 1, 2, 4, 0, 4, 0, 0, 3, 1, 1, 3, 4, 3, 1, 2, 1, 4, 1, 4, 2, 3, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 3, 4, 3, 2, 2, 4, 1, 0, 4, 1, 3, 2, 3, 2, 1, 4, 0, 0, 2, 2, 2, 0, 1, 3, 1, 4, 4, 1, 1, 3, 4, 4, 4, 0, 1, 0, 4, 3, 1, 2, 4, 1, 3, 4, 3, 0, 2, 3, 0, 2, 3, 2, 3, 0, 4, 1, 0, 3, 0, 1, 3, 1, 3, 2, 3, 3, 2, 0, 4, 0, 3, 1, 2, 1, 1, 2, 4, 3, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 3, 0, 2, 2, 3, 3, 2, 3, 3, 2, 4, 2, 3, 1, 1, 0, 4, 0, 4, 4, 3, 4, 0, 2, 3, 1, 3, 1, 0, 1, 3, 4, 1, 0, 1, 0, 4, 0, 2, 1, 0, 1, 1, 2, 3, 2, 0, 1, 3, 2, 0, 0, 0, 3, 4, 4, 3, 0, 1, 4, 3, 1, 2, 1, 1, 4, 4, 2, 0, 0, 3, 0, 3, 2, 0, 0, 3, 1, 2, 1, 0, 0, 3, 1, 4, 2, 3, 2, 2, 4, 2, 2, 1, 2, 2, 3, 3, 0, 0, 0, 3, 3, 1, 0, 3, 1, 4, 3, 2, 2, 2, 1, 1, 4, 2, 1, 2, 0, 2, 2, 0, 3, 3, 2, 1, 2, 2, 0, 1, 1, 3, 4, 0, 2, 4, 2, 1, 3, 0, 1, 0, 3, 3, 1, 3, 3, 0, 2, 1, 0, 3, 2, 3, 1, 3, 4, 3, 4, 0, 4, 3, 1, 2, 4, 3, 4, 0, 4, 2, 0, 2, 0, 2, 0, 4, 0, 3, 4, 4, 0, 3, 0, 3, 1, 3, 1, 0, 2, 3, 2, 1, 0, 0, 2, 3, 2, 1, 0, 0, 0, 4, 2, 1, 1, 1, 4, 1, 0, 3, 3, 4, 2, 1, 2, 4, 3, 1, 3, 0, 1, 1, 3, 1, 2, 2, 4, 2, 3, 1, 3, 2, 1, 1, 1, 1, 0, 3, 1, 0]
pubkeycol585 = [1, 3, 1, 3, 0, 1, 4, 4, 4, 0, 4, 0, 4, 3, 0, 2, 4, 0, 0, 2, 0, 0, 3, 1, 4, 4, 4, 4, 0, 2, 2, 0, 4, 0, 1, 2, 4, 3, 3, 4, 4, 0, 1, 1, 0, 3, 0, 3, 4, 3, 3, 4, 1, 2, 4, 4, 0, 3, 0, 3, 2, 0, 2, 2, 1, 3, 2, 3, 3, 0, 4, 0, 0, 1, 2, 0, 3, 4, 3, 1, 4, 1, 3, 2, 3, 1, 3, 0, 1, 3, 2, 4, 1, 0, 3, 0, 3, 0, 2, 4, 4, 3, 4, 4, 4, 3, 1, 1, 4, 1, 4, 2, 4, 1, 1, 1, 4, 2, 1, 3, 3, 2, 2, 3, 4, 2, 0, 1, 4, 3, 3, 0, 0, 1, 0, 4, 2, 3, 0, 1, 0, 3, 4, 0, 0, 4, 0, 0, 3, 1, 4, 1, 3, 4, 0, 4, 3, 0, 4, 1, 1, 3, 2, 3, 0, 2, 2, 4, 3, 2, 4, 3, 3, 0, 0, 0, 0, 4, 4, 3, 1, 2, 4, 1, 1, 3, 0, 2, 0, 3, 4, 3, 2, 1, 1, 4, 2, 0, 1, 0, 3, 2, 0, 1, 4, 1, 2, 3, 2, 4, 3, 0, 4, 1, 1, 2, 3, 3, 4, 4, 2, 1, 4, 4, 1, 0, 1, 4, 0, 3, 3, 0, 1, 4, 2, 0, 2, 4, 0, 3, 2, 3, 1, 0, 3, 4, 4, 3, 2, 1, 2, 0, 1, 1, 4, 0, 4, 0, 0, 2, 1, 0, 1, 0, 0, 0, 3, 4, 1, 3, 2, 2, 0, 2, 0, 3, 4, 2, 3, 2, 4, 3, 4, 4, 3, 3, 1, 1, 1, 3, 2, 4, 1, 2, 1, 4, 2, 2, 0, 4, 3, 0, 0, 1, 1, 4, 1, 3, 3, 0, 4, 1, 3, 0, 2, 1, 4, 0, 1, 1, 3, 2, 3, 2, 2, 2, 1, 0, 2, 4, 0, 3, 0, 2, 3, 1, 2, 3, 4, 0, 4, 2, 4, 1, 4, 4, 3, 3, 1, 1, 1, 4, 1, 2, 2, 4, 3, 1, 0, 2, 3, 1, 3, 3, 2, 0, 2, 1, 3, 4, 0, 4, 0, 4, 1, 1, 2, 1, 1, 0, 4, 1, 3, 0, 3, 3, 1, 1, 0, 2, 4, 3, 0, 2, 0, 0, 3, 1, 0, 0]
pubkeycol586 = [3, 3, 4, 1, 0, 4, 0, 1, 0, 0, 1, 4, 2, 2, 0, 0, 1, 1, 2, 3, 2, 0, 0, 0, 4, 4, 4, 1, 0, 3, 1, 4, 2, 2, 3, 4, 0, 1, 2, 3, 1, 1, 4, 2, 0, 2, 0, 1, 2, 3, 1, 0, 3, 3, 4, 2, 3, 2, 4, 2, 0, 1, 1, 4, 4, 1, 4, 4, 2, 4, 2, 3, 3, 0, 1, 4, 3, 4, 2, 4, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 4, 2, 0, 0, 3, 0, 3, 0, 1, 1, 2, 1, 2, 2, 4, 0, 3, 1, 3, 4, 4, 1, 1, 0, 4, 1, 1, 1, 4, 1, 4, 3, 0, 0, 2, 3, 0, 3, 1, 0, 4, 3, 2, 2, 1, 2, 1, 1, 0, 4, 0, 2, 4, 0, 1, 1, 0, 2, 2, 2, 4, 4, 1, 4, 3, 3, 2, 4, 2, 4, 2, 3, 3, 3, 1, 4, 2, 2, 3, 3, 2, 2, 1, 3, 4, 3, 4, 4, 4, 1, 0, 0, 1, 1, 4, 2, 0, 2, 1, 4, 0, 2, 2, 2, 0, 4, 2, 4, 2, 3, 3, 2, 0, 0, 3, 4, 2, 0, 0, 2, 3, 1, 0, 2, 1, 2, 3, 4, 1, 0, 3, 4, 1, 4, 3, 0, 0, 0, 2, 0, 2, 3, 1, 0, 0, 0, 2, 3, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 3, 3, 3, 1, 1, 0, 3, 2, 3, 0, 2, 0, 0, 0, 2, 0, 0, 0, 3, 3, 3, 2, 3, 2, 4, 0, 2, 2, 3, 3, 0, 4, 2, 1, 0, 0, 1, 2, 0, 0, 1, 4, 3, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 3, 1, 2, 1, 1, 4, 0, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 2, 1, 0, 0, 4, 1, 3, 2, 4, 0, 1, 4, 0, 3, 4, 0, 0, 2, 4, 1, 3, 2, 4, 3, 0, 4, 2, 1, 1, 4, 2, 1, 4, 3, 1, 3, 0, 0, 4, 2, 3, 4, 2, 1, 1, 3, 0, 3, 1, 1, 0, 0, 1, 1, 3, 0, 4, 4, 0, 4, 0, 3, 0, 1, 1, 0, 3, 2, 1, 4, 4, 2, 3, 1, 1, 0, 1, 0, 2, 0, 2]
pubkeycol587 = [4, 0, 3, 2, 1, 0, 1, 3, 1, 4, 0, 4, 2, 2, 1, 1, 4, 2, 0, 4, 0, 2, 0, 1, 3, 4, 1, 3, 2, 3, 4, 2, 2, 1, 3, 0, 0, 0, 4, 1, 4, 4, 3, 0, 1, 0, 1, 3, 1, 2, 4, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 4, 3, 4, 2, 3, 4, 4, 4, 3, 4, 2, 4, 4, 2, 0, 1, 1, 3, 2, 4, 1, 1, 0, 4, 4, 1, 0, 4, 4, 3, 1, 2, 1, 4, 4, 0, 3, 3, 4, 1, 2, 3, 1, 0, 2, 3, 3, 4, 0, 0, 4, 3, 2, 3, 1, 1, 1, 2, 2, 3, 1, 4, 4, 2, 1, 4, 4, 4, 4, 1, 0, 4, 3, 4, 0, 0, 3, 0, 3, 0, 2, 4, 1, 1, 1, 4, 2, 2, 0, 0, 3, 1, 4, 0, 4, 2, 4, 0, 0, 4, 0, 0, 0, 4, 2, 1, 1, 2, 2, 0, 3, 0, 1, 3, 1, 2, 1, 2, 0, 2, 2, 4, 0, 4, 4, 1, 0, 1, 2, 0, 4, 3, 0, 0, 4, 4, 4, 0, 1, 2, 0, 2, 0, 4, 3, 0, 3, 4, 4, 3, 4, 2, 1, 3, 3, 0, 2, 0, 3, 1, 4, 4, 2, 3, 4, 0, 3, 3, 1, 4, 0, 2, 4, 3, 1, 3, 2, 1, 4, 3, 1, 1, 3, 2, 0, 0, 2, 4, 4, 1, 3, 2, 0, 0, 0, 4, 2, 4, 1, 4, 4, 4, 4, 3, 4, 1, 2, 4, 2, 4, 4, 4, 2, 1, 4, 3, 1, 1, 4, 1, 0, 3, 4, 3, 2, 2, 3, 0, 4, 0, 0, 2, 1, 4, 0, 1, 1, 3, 0, 3, 4, 4, 4, 3, 1, 0, 4, 4, 4, 4, 3, 2, 2, 4, 1, 1, 2, 2, 0, 4, 4, 0, 3, 3, 4, 1, 1, 3, 1, 0, 4, 3, 2, 0, 1, 0, 3, 0, 0, 0, 2, 4, 0, 1, 2, 2, 4, 0, 0, 0, 4, 1, 2, 0, 2, 0, 4, 3, 4, 0, 2, 1, 0, 3, 3, 1, 1, 0, 4, 2, 4, 2, 1, 4, 2, 1, 1, 4, 1, 1, 2, 1, 1, 4, 4, 0, 3, 2, 0, 0, 0, 0, 2, 0, 4, 0, 0]
pubkeycol588 = [0, 4, 2, 3, 0, 0, 4, 4, 1, 4, 3, 3, 1, 1, 3, 1, 0, 1, 4, 2, 4, 3, 1, 1, 2, 2, 1, 1, 0, 4, 3, 1, 3, 1, 3, 4, 4, 2, 2, 2, 1, 4, 3, 3, 0, 3, 4, 4, 4, 0, 4, 2, 0, 4, 3, 1, 4, 3, 2, 3, 4, 3, 2, 1, 2, 1, 0, 0, 3, 3, 3, 4, 0, 3, 0, 2, 3, 4, 1, 3, 4, 2, 4, 4, 4, 3, 0, 2, 0, 2, 1, 4, 2, 1, 0, 3, 3, 1, 1, 2, 0, 3, 3, 1, 2, 1, 3, 1, 1, 3, 2, 1, 3, 2, 0, 0, 1, 1, 4, 4, 2, 2, 0, 2, 0, 2, 2, 1, 4, 3, 1, 0, 4, 4, 2, 4, 4, 4, 1, 2, 1, 2, 0, 0, 3, 2, 1, 2, 0, 4, 1, 2, 1, 1, 2, 3, 0, 0, 1, 3, 2, 0, 4, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 4, 2, 0, 0, 0, 2, 1, 3, 3, 2, 2, 1, 3, 4, 4, 4, 2, 4, 3, 1, 1, 0, 1, 0, 1, 3, 0, 2, 4, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 3, 1, 3, 3, 4, 0, 4, 3, 2, 2, 3, 2, 2, 3, 4, 0, 2, 2, 0, 1, 1, 0, 1, 4, 2, 0, 2, 1, 0, 4, 4, 3, 3, 1, 2, 4, 1, 3, 1, 0, 2, 0, 4, 1, 3, 0, 0, 0, 1, 4, 4, 1, 0, 3, 0, 0, 2, 2, 3, 4, 0, 1, 1, 3, 3, 4, 3, 2, 2, 4, 2, 3, 4, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 3, 1, 3, 2, 2, 0, 4, 0, 2, 3, 1, 4, 4, 1, 1, 1, 3, 0, 0, 2, 2, 4, 2, 1, 0, 1, 1, 1, 3, 3, 4, 0, 2, 2, 4, 3, 3, 2, 4, 2, 1, 0, 4, 4, 0, 4, 0, 0, 4, 3, 0, 1, 4, 3, 4, 2, 0, 2, 3, 1, 4, 0, 1, 1, 0, 4, 1, 0, 1, 3, 1, 1, 0, 1, 2, 3, 0, 2, 3, 2, 2, 2, 0, 1, 0, 1, 0, 1, 4, 0, 3, 3, 2, 1, 1, 0, 4, 4, 1, 3, 4, 3]
pubkeycol589 = [0, 1, 4, 0, 4, 0, 1, 1, 1, 0, 3, 2, 2, 3, 3, 0, 3, 4, 1, 3, 4, 1, 0, 3, 3, 0, 0, 3, 3, 2, 3, 4, 1, 2, 3, 3, 0, 4, 1, 3, 4, 3, 0, 4, 3, 2, 1, 0, 3, 2, 3, 0, 3, 2, 3, 2, 0, 0, 4, 3, 4, 0, 2, 3, 0, 4, 2, 0, 1, 3, 0, 4, 0, 2, 0, 2, 1, 2, 0, 4, 2, 2, 0, 3, 3, 2, 1, 0, 1, 1, 1, 2, 2, 1, 4, 1, 0, 0, 3, 0, 0, 1, 3, 4, 4, 1, 3, 2, 1, 0, 3, 0, 4, 2, 4, 0, 0, 2, 0, 3, 0, 3, 0, 0, 1, 4, 0, 2, 2, 3, 4, 3, 1, 3, 1, 1, 3, 2, 4, 1, 2, 4, 4, 0, 4, 3, 4, 4, 2, 4, 1, 2, 0, 4, 2, 3, 4, 3, 2, 0, 2, 2, 1, 3, 3, 0, 4, 2, 2, 0, 1, 1, 0, 3, 0, 0, 0, 2, 2, 2, 0, 1, 2, 4, 3, 0, 4, 4, 0, 1, 4, 1, 4, 3, 0, 3, 4, 0, 3, 2, 1, 3, 1, 4, 0, 1, 2, 1, 4, 1, 1, 1, 1, 4, 1, 2, 0, 2, 3, 4, 3, 4, 3, 2, 4, 4, 4, 1, 1, 3, 2, 2, 0, 0, 3, 1, 0, 1, 4, 1, 4, 4, 3, 4, 0, 1, 0, 0, 0, 4, 4, 0, 2, 1, 4, 0, 2, 4, 0, 1, 0, 2, 1, 1, 4, 4, 2, 2, 4, 4, 4, 0, 4, 4, 3, 1, 2, 1, 1, 4, 4, 0, 1, 3, 0, 2, 4, 4, 0, 4, 4, 1, 2, 4, 4, 2, 3, 0, 2, 1, 0, 2, 2, 2, 4, 4, 2, 0, 1, 3, 4, 3, 2, 2, 3, 1, 3, 4, 3, 3, 4, 2, 0, 4, 4, 3, 2, 1, 1, 4, 0, 3, 1, 2, 0, 4, 3, 1, 4, 2, 3, 1, 1, 1, 1, 1, 0, 2, 4, 4, 3, 2, 0, 3, 1, 3, 3, 3, 3, 1, 1, 3, 2, 0, 2, 2, 0, 3, 3, 2, 0, 4, 3, 0, 1, 0, 0, 4, 0, 2, 2, 4, 4, 1, 3, 2, 4, 0, 4, 3, 2, 1, 3, 3, 2, 0, 4, 3, 3, 2]
pubkeycol590 = [3, 1, 2, 1, 1, 0, 4, 3, 2, 4, 0, 2, 3, 2, 2, 4, 4, 2, 3, 4, 1, 1, 0, 0, 2, 1, 1, 3, 0, 3, 2, 4, 1, 0, 3, 1, 0, 2, 4, 4, 3, 3, 2, 0, 0, 2, 0, 3, 3, 2, 1, 2, 1, 4, 2, 4, 4, 3, 4, 0, 1, 1, 4, 1, 0, 0, 4, 3, 2, 1, 1, 1, 1, 4, 4, 3, 3, 4, 4, 0, 4, 0, 2, 0, 3, 0, 0, 4, 2, 1, 2, 4, 3, 1, 2, 4, 2, 4, 1, 2, 0, 4, 3, 0, 3, 4, 0, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 1, 0, 0, 2, 1, 2, 0, 3, 1, 2, 2, 4, 1, 0, 3, 1, 3, 1, 3, 4, 2, 4, 4, 3, 3, 3, 1, 2, 0, 1, 4, 4, 2, 1, 0, 4, 1, 0, 0, 4, 3, 3, 3, 4, 0, 3, 3, 0, 2, 2, 3, 4, 1, 4, 0, 0, 3, 3, 2, 2, 3, 4, 2, 4, 0, 3, 4, 4, 0, 0, 2, 1, 4, 0, 3, 4, 0, 4, 1, 1, 2, 1, 4, 2, 2, 4, 3, 1, 0, 4, 4, 3, 1, 4, 3, 1, 3, 0, 2, 4, 2, 2, 0, 2, 3, 0, 0, 4, 3, 3, 0, 2, 0, 4, 4, 1, 3, 2, 0, 2, 3, 1, 1, 4, 3, 4, 3, 4, 1, 2, 0, 3, 4, 4, 3, 4, 2, 1, 0, 2, 4, 3, 2, 1, 2, 0, 4, 1, 0, 0, 4, 3, 3, 4, 4, 4, 1, 4, 0, 4, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 3, 3, 2, 0, 1, 4, 4, 3, 4, 2, 1, 2, 2, 1, 1, 3, 4, 4, 0, 4, 2, 2, 2, 3, 3, 4, 3, 2, 3, 2, 1, 1, 1, 4, 2, 0, 0, 4, 2, 0, 3, 1, 1, 1, 0, 1, 3, 2, 2, 2, 0, 0, 3, 0, 4, 4, 0, 3, 3, 2, 2, 0, 2, 2, 0, 0, 3, 3, 3, 3, 3, 0, 1, 3, 3, 3, 1, 2, 3, 3, 4, 2, 1, 3, 2, 4, 0, 4, 4, 4, 2, 0, 4, 4, 3, 2, 4, 0, 1, 0, 3, 0, 3, 0, 3, 3, 1, 4, 3, 2, 2, 1, 4]
pubkeycol591 = [1, 0, 4, 1, 0, 0, 2, 0, 3, 2, 1, 4, 2, 0, 4, 2, 1, 1, 3, 1, 2, 3, 4, 2, 4, 1, 1, 4, 3, 3, 1, 1, 1, 3, 3, 2, 2, 4, 4, 3, 4, 1, 2, 3, 2, 2, 3, 4, 2, 3, 1, 4, 4, 1, 0, 0, 0, 1, 4, 3, 4, 4, 0, 2, 4, 2, 1, 0, 4, 1, 1, 2, 2, 1, 0, 4, 0, 3, 2, 0, 3, 2, 0, 4, 4, 3, 1, 2, 3, 4, 1, 0, 4, 3, 3, 1, 4, 4, 2, 3, 0, 0, 0, 1, 3, 0, 2, 4, 3, 0, 0, 1, 1, 1, 0, 4, 2, 3, 2, 4, 3, 2, 4, 0, 0, 1, 2, 2, 0, 0, 0, 3, 1, 0, 0, 1, 0, 3, 2, 2, 4, 0, 3, 0, 0, 0, 3, 2, 0, 1, 3, 0, 3, 1, 4, 3, 4, 3, 4, 4, 2, 1, 0, 3, 3, 1, 2, 3, 1, 1, 0, 3, 4, 0, 2, 3, 1, 4, 3, 2, 2, 4, 4, 4, 3, 0, 4, 2, 1, 2, 1, 2, 3, 1, 1, 0, 3, 4, 2, 4, 2, 1, 4, 2, 0, 2, 1, 0, 0, 4, 4, 0, 3, 1, 3, 1, 0, 3, 1, 0, 3, 3, 3, 2, 3, 0, 4, 3, 0, 3, 0, 4, 3, 3, 1, 0, 3, 4, 2, 4, 2, 1, 4, 4, 4, 0, 2, 4, 1, 1, 4, 3, 3, 4, 0, 1, 0, 1, 3, 0, 3, 0, 2, 2, 3, 0, 2, 1, 0, 3, 1, 2, 2, 1, 0, 4, 4, 0, 4, 3, 2, 2, 1, 4, 0, 0, 1, 2, 4, 4, 0, 2, 2, 2, 2, 4, 3, 1, 1, 0, 2, 1, 4, 1, 1, 0, 0, 4, 3, 0, 3, 4, 1, 4, 0, 0, 1, 4, 4, 0, 3, 3, 3, 3, 1, 1, 1, 0, 0, 3, 0, 4, 2, 1, 1, 4, 3, 1, 1, 2, 2, 2, 3, 2, 2, 1, 0, 3, 4, 3, 4, 3, 0, 2, 0, 0, 3, 2, 2, 2, 1, 0, 2, 1, 2, 1, 4, 0, 2, 0, 0, 2, 2, 4, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 4, 0, 4, 4, 0, 3, 0, 2, 2, 4, 0, 1, 2, 0, 0]
pubkeycol592 = [1, 4, 3, 0, 2, 3, 0, 0, 2, 4, 0, 4, 0, 3, 2, 0, 1, 0, 4, 0, 1, 4, 4, 1, 3, 1, 0, 1, 1, 2, 4, 1, 4, 1, 0, 2, 1, 2, 2, 2, 2, 0, 3, 2, 2, 1, 0, 1, 1, 2, 2, 2, 4, 0, 4, 4, 2, 1, 3, 0, 4, 1, 4, 0, 0, 1, 4, 4, 1, 2, 1, 4, 1, 2, 2, 0, 4, 2, 0, 0, 0, 3, 0, 4, 1, 2, 4, 1, 3, 3, 3, 4, 2, 4, 0, 1, 1, 1, 2, 0, 1, 4, 1, 3, 2, 4, 1, 2, 3, 2, 2, 0, 0, 3, 0, 3, 0, 3, 2, 4, 4, 2, 1, 0, 2, 2, 0, 0, 3, 0, 3, 0, 2, 2, 1, 1, 0, 4, 0, 4, 0, 0, 2, 0, 4, 1, 2, 3, 0, 3, 4, 4, 3, 0, 2, 1, 3, 3, 0, 0, 4, 3, 2, 3, 2, 1, 1, 2, 4, 3, 0, 1, 1, 0, 2, 3, 4, 0, 2, 1, 4, 2, 4, 3, 0, 2, 3, 0, 2, 0, 2, 3, 4, 1, 2, 4, 0, 4, 4, 0, 0, 1, 0, 1, 4, 1, 2, 4, 1, 4, 2, 4, 4, 0, 1, 3, 3, 2, 3, 0, 3, 0, 1, 3, 2, 3, 4, 0, 4, 4, 2, 3, 2, 2, 4, 1, 2, 1, 2, 4, 3, 0, 2, 4, 3, 4, 2, 0, 2, 2, 3, 2, 3, 1, 1, 1, 0, 0, 0, 4, 0, 0, 3, 1, 3, 2, 3, 0, 4, 2, 2, 2, 0, 3, 0, 2, 2, 3, 2, 0, 4, 4, 0, 2, 1, 0, 3, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 3, 3, 3, 4, 0, 0, 0, 2, 1, 0, 3, 4, 1, 1, 0, 4, 1, 1, 0, 2, 1, 2, 4, 0, 1, 4, 2, 0, 2, 2, 2, 4, 3, 2, 2, 2, 2, 0, 0, 3, 3, 3, 0, 1, 3, 1, 3, 1, 4, 2, 4, 4, 4, 1, 3, 1, 2, 0, 3, 1, 4, 2, 2, 0, 0, 3, 1, 3, 2, 4, 3, 1, 3, 2, 2, 0, 3, 1, 0, 4, 0, 4, 4, 4, 0, 4, 0, 3, 1, 0, 0, 3, 2, 2, 4, 1, 1, 4, 2, 0, 3]
pubkeycol593 = [4, 3, 3, 3, 4, 0, 4, 1, 2, 0, 0, 1, 4, 4, 0, 4, 2, 4, 0, 0, 3, 4, 1, 3, 0, 2, 1, 4, 1, 1, 0, 2, 0, 3, 2, 3, 4, 0, 3, 4, 2, 0, 0, 0, 4, 2, 1, 4, 3, 1, 1, 0, 2, 2, 4, 4, 1, 3, 4, 2, 0, 3, 3, 3, 3, 1, 3, 0, 4, 0, 2, 4, 1, 2, 1, 2, 4, 4, 2, 0, 3, 3, 1, 3, 1, 4, 3, 4, 4, 3, 3, 1, 2, 3, 0, 3, 3, 2, 1, 2, 0, 3, 0, 0, 4, 2, 0, 2, 1, 1, 2, 4, 1, 4, 4, 2, 0, 0, 3, 4, 4, 3, 4, 2, 1, 1, 3, 4, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 0, 1, 0, 2, 3, 1, 2, 3, 1, 3, 2, 3, 4, 2, 2, 2, 2, 2, 2, 3, 2, 0, 2, 3, 1, 2, 3, 1, 2, 3, 4, 1, 1, 1, 2, 4, 4, 3, 4, 3, 3, 1, 4, 4, 3, 1, 1, 4, 0, 1, 3, 4, 3, 3, 0, 4, 4, 0, 3, 0, 2, 0, 0, 2, 3, 0, 0, 3, 1, 2, 1, 2, 1, 1, 4, 1, 2, 1, 2, 1, 4, 4, 3, 2, 2, 3, 1, 1, 2, 4, 4, 0, 2, 0, 0, 4, 2, 1, 3, 4, 0, 0, 4, 4, 3, 2, 2, 4, 1, 0, 3, 4, 4, 4, 2, 0, 4, 2, 3, 0, 3, 2, 2, 1, 2, 1, 2, 4, 0, 0, 4, 0, 1, 2, 4, 0, 4, 4, 4, 2, 1, 4, 1, 0, 2, 4, 4, 1, 0, 2, 3, 4, 3, 4, 0, 1, 0, 0, 1, 3, 1, 1, 1, 3, 3, 2, 0, 0, 4, 0, 1, 3, 0, 3, 2, 3, 2, 4, 1, 3, 3, 3, 1, 0, 1, 3, 1, 0, 1, 2, 4, 1, 1, 3, 4, 4, 2, 2, 0, 0, 0, 4, 3, 1, 3, 1, 1, 0, 2, 4, 0, 3, 2, 3, 0, 0, 2, 2, 4, 2, 4, 1, 4, 3, 2, 2, 3, 3, 2, 2, 2, 4, 1, 4, 2, 2, 3, 0, 3, 4, 2, 0, 2, 0, 4, 1, 1, 0, 0, 3, 2, 3, 3, 0, 2, 0, 0, 2, 4, 3, 4]
pubkeycol594 = [0, 4, 0, 3, 0, 1, 1, 0, 0, 4, 2, 3, 4, 3, 2, 1, 4, 0, 4, 0, 4, 0, 0, 2, 3, 0, 0, 0, 4, 0, 1, 4, 1, 4, 4, 0, 1, 1, 2, 1, 4, 4, 2, 0, 0, 1, 2, 0, 0, 4, 2, 2, 3, 4, 1, 2, 2, 0, 4, 1, 4, 1, 2, 1, 4, 4, 0, 2, 1, 0, 4, 4, 1, 3, 3, 4, 4, 2, 0, 3, 1, 2, 0, 2, 1, 2, 3, 3, 4, 1, 4, 1, 2, 4, 4, 3, 2, 3, 3, 3, 3, 0, 3, 1, 0, 2, 3, 1, 3, 4, 4, 1, 1, 1, 1, 0, 2, 1, 4, 4, 3, 1, 2, 0, 2, 4, 0, 1, 3, 3, 0, 1, 1, 2, 1, 3, 1, 3, 4, 2, 1, 2, 4, 2, 4, 3, 3, 1, 2, 0, 2, 3, 2, 4, 2, 0, 0, 3, 3, 1, 2, 1, 2, 2, 3, 0, 4, 4, 4, 3, 1, 0, 0, 0, 3, 4, 4, 2, 4, 0, 4, 1, 2, 3, 2, 4, 4, 1, 4, 0, 4, 0, 1, 4, 1, 0, 3, 2, 4, 2, 1, 1, 1, 2, 4, 1, 4, 2, 0, 3, 2, 0, 1, 4, 3, 3, 1, 3, 0, 0, 0, 2, 1, 0, 3, 2, 3, 3, 0, 4, 1, 1, 4, 0, 0, 2, 0, 2, 2, 4, 0, 3, 3, 0, 4, 3, 2, 2, 1, 0, 2, 4, 3, 3, 4, 0, 2, 2, 4, 0, 0, 0, 0, 1, 3, 2, 0, 3, 0, 2, 3, 1, 0, 3, 2, 0, 4, 4, 0, 3, 2, 4, 4, 3, 3, 3, 3, 4, 0, 0, 0, 3, 0, 4, 3, 4, 4, 2, 0, 0, 1, 0, 4, 4, 3, 3, 3, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 3, 4, 1, 0, 0, 4, 4, 1, 1, 4, 0, 1, 4, 4, 1, 1, 4, 2, 3, 2, 4, 0, 1, 3, 2, 1, 3, 0, 4, 2, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 4, 1, 0, 2, 4, 0, 4, 3, 0, 4, 1, 1, 1, 1, 0, 4, 2, 3, 3, 1, 0, 1, 4, 0, 0, 3, 3, 0, 2, 4, 3, 1, 3, 0, 1, 2, 4, 3, 3, 3, 4, 4]
pubkeycol595 = [3, 3, 3, 1, 4, 3, 1, 1, 2, 0, 0, 0, 0, 0, 3, 1, 0, 4, 3, 1, 0, 1, 4, 2, 2, 4, 4, 1, 0, 4, 2, 3, 1, 1, 4, 1, 2, 2, 1, 2, 2, 2, 4, 4, 0, 0, 4, 0, 4, 0, 0, 3, 0, 4, 1, 2, 3, 1, 1, 1, 1, 0, 4, 3, 0, 1, 2, 0, 3, 4, 3, 1, 4, 4, 1, 4, 1, 0, 0, 4, 3, 2, 0, 2, 2, 4, 4, 4, 4, 1, 3, 2, 3, 4, 2, 0, 1, 4, 0, 0, 2, 2, 1, 2, 1, 1, 4, 4, 2, 1, 2, 0, 2, 3, 0, 1, 1, 4, 4, 4, 3, 3, 1, 3, 2, 4, 4, 1, 1, 0, 1, 0, 3, 3, 2, 0, 1, 2, 0, 2, 1, 1, 3, 0, 4, 0, 4, 3, 0, 2, 0, 0, 4, 4, 1, 0, 4, 3, 2, 4, 0, 1, 2, 0, 2, 3, 1, 2, 3, 3, 2, 2, 2, 4, 3, 2, 2, 4, 1, 3, 2, 1, 0, 4, 1, 2, 1, 1, 3, 1, 4, 1, 0, 1, 1, 2, 0, 3, 0, 0, 4, 3, 2, 0, 0, 1, 4, 0, 2, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 2, 3, 0, 3, 3, 0, 4, 0, 0, 1, 4, 1, 0, 0, 1, 3, 3, 4, 2, 4, 0, 1, 4, 2, 3, 0, 1, 4, 2, 0, 4, 2, 3, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 3, 3, 3, 0, 4, 3, 3, 1, 1, 4, 0, 4, 2, 1, 4, 2, 4, 0, 0, 3, 1, 2, 0, 0, 0, 0, 2, 1, 3, 3, 3, 1, 4, 2, 2, 3, 1, 4, 3, 2, 3, 4, 4, 1, 1, 0, 3, 1, 0, 3, 4, 1, 3, 4, 3, 3, 1, 2, 4, 0, 4, 2, 3, 4, 4, 2, 2, 0, 2, 2, 1, 2, 3, 2, 4, 1, 3, 0, 3, 1, 2, 2, 3, 2, 0, 1, 2, 4, 2, 2, 0, 4, 4, 1, 4, 1, 0, 0, 2, 1, 0, 1, 3, 1, 4, 3, 4, 2, 0, 0, 4, 4, 3, 3, 3, 2, 4, 3, 4, 0, 1, 2, 1, 4, 1, 3, 1, 2, 1, 3, 3, 0, 0, 0, 4]
pubkeycol596 = [1, 4, 0, 0, 2, 2, 4, 2, 4, 1, 4, 0, 0, 4, 1, 4, 1, 4, 1, 2, 0, 2, 3, 4, 1, 3, 1, 3, 2, 2, 4, 0, 1, 0, 4, 0, 4, 2, 2, 2, 3, 3, 0, 1, 3, 2, 3, 4, 1, 2, 2, 3, 0, 4, 3, 2, 4, 2, 2, 2, 4, 4, 0, 3, 1, 3, 4, 0, 2, 0, 3, 1, 3, 0, 3, 3, 4, 0, 4, 2, 2, 3, 2, 4, 4, 3, 1, 4, 4, 0, 1, 0, 3, 3, 3, 1, 1, 3, 4, 0, 1, 4, 0, 2, 4, 0, 3, 2, 4, 2, 3, 1, 0, 2, 0, 1, 1, 1, 3, 4, 0, 0, 4, 2, 1, 2, 2, 4, 0, 0, 1, 4, 4, 0, 3, 3, 3, 1, 0, 3, 3, 0, 1, 1, 1, 1, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 0, 2, 0, 3, 1, 4, 1, 4, 4, 1, 0, 0, 0, 0, 3, 4, 2, 0, 1, 3, 2, 4, 0, 0, 2, 1, 1, 2, 1, 0, 4, 4, 0, 0, 3, 2, 0, 0, 4, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 4, 3, 4, 0, 4, 4, 4, 2, 0, 0, 1, 4, 2, 4, 4, 2, 1, 4, 3, 4, 4, 0, 4, 1, 0, 1, 0, 4, 1, 3, 2, 1, 0, 0, 4, 0, 2, 3, 1, 3, 2, 3, 4, 3, 3, 0, 0, 0, 2, 0, 2, 4, 2, 2, 1, 3, 3, 0, 0, 4, 2, 4, 4, 1, 1, 3, 4, 3, 2, 2, 4, 0, 4, 0, 2, 1, 2, 4, 3, 1, 0, 3, 1, 2, 4, 1, 4, 1, 2, 3, 4, 4, 1, 2, 1, 2, 3, 0, 3, 3, 0, 2, 4, 4, 4, 0, 1, 4, 3, 4, 2, 3, 3, 4, 3, 3, 2, 1, 1, 2, 4, 3, 1, 0, 4, 2, 0, 2, 1, 3, 4, 3, 3, 0, 0, 3, 1, 0, 4, 0, 3, 1, 4, 0, 4, 2, 3, 3, 4, 4, 0, 2, 3, 2, 2, 3, 0, 2, 2, 0, 4, 2, 1, 2, 1, 4, 0, 3, 1, 2, 4, 3, 2, 4, 1, 0, 1, 4, 4, 1, 4, 1, 0, 4, 4, 4, 2, 2, 2, 0, 2, 4, 0]
pubkeycol597 = [0, 2, 2, 4, 4, 3, 1, 1, 4, 0, 1, 4, 4, 1, 1, 1, 4, 3, 1, 2, 2, 4, 0, 1, 2, 1, 2, 1, 3, 0, 2, 0, 0, 0, 2, 3, 4, 1, 1, 3, 3, 3, 1, 1, 4, 0, 0, 1, 3, 0, 4, 2, 1, 0, 0, 1, 2, 2, 3, 4, 4, 3, 3, 2, 0, 4, 0, 4, 2, 4, 1, 1, 4, 0, 0, 4, 3, 1, 2, 0, 2, 3, 0, 1, 4, 4, 1, 3, 4, 4, 3, 3, 4, 0, 3, 1, 0, 3, 1, 4, 4, 2, 2, 3, 1, 0, 1, 1, 0, 2, 2, 2, 2, 3, 3, 3, 4, 0, 0, 4, 1, 1, 0, 3, 4, 4, 3, 1, 0, 3, 0, 1, 2, 0, 2, 4, 0, 1, 4, 0, 0, 2, 3, 4, 4, 3, 1, 4, 2, 4, 2, 0, 1, 2, 4, 3, 3, 0, 1, 3, 0, 0, 1, 3, 1, 2, 2, 1, 3, 0, 1, 1, 0, 4, 4, 3, 2, 3, 1, 1, 2, 3, 4, 2, 4, 1, 0, 4, 4, 3, 0, 0, 1, 4, 2, 2, 0, 3, 0, 0, 4, 3, 1, 3, 4, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 3, 2, 0, 4, 4, 4, 2, 2, 1, 0, 0, 3, 3, 2, 1, 3, 1, 2, 2, 4, 4, 1, 2, 4, 2, 4, 2, 4, 4, 3, 1, 1, 0, 0, 1, 0, 1, 4, 3, 2, 3, 1, 0, 2, 4, 0, 2, 4, 2, 2, 3, 4, 2, 3, 1, 2, 0, 1, 1, 2, 0, 3, 2, 3, 0, 2, 2, 3, 2, 4, 1, 3, 1, 3, 0, 1, 1, 0, 3, 2, 3, 0, 3, 3, 1, 4, 0, 2, 3, 0, 0, 3, 2, 2, 3, 0, 0, 4, 1, 1, 4, 3, 1, 4, 2, 3, 1, 0, 2, 4, 0, 4, 1, 3, 4, 4, 3, 2, 3, 0, 4, 3, 2, 1, 4, 0, 2, 3, 2, 0, 3, 4, 1, 3, 3, 4, 2, 3, 1, 3, 3, 3, 1, 0, 4, 1, 4, 1, 4, 1, 4, 4, 2, 2, 3, 0, 2, 0, 3, 0, 3, 4, 0, 0, 0, 4, 2, 0, 1, 4, 1, 1, 0, 1, 3, 4, 3, 0, 1, 2, 2, 2, 2, 2]
pubkeycol598 = [0, 4, 0, 3, 4, 3, 0, 4, 0, 1, 4, 3, 2, 3, 2, 0, 4, 4, 3, 4, 4, 2, 4, 0, 4, 4, 2, 3, 3, 0, 0, 4, 3, 1, 0, 0, 4, 4, 2, 0, 0, 2, 1, 0, 4, 1, 4, 4, 0, 2, 2, 1, 2, 1, 1, 0, 1, 3, 3, 1, 3, 1, 0, 4, 1, 3, 4, 0, 1, 1, 3, 3, 1, 0, 2, 1, 3, 2, 4, 1, 3, 3, 3, 0, 2, 3, 4, 0, 0, 0, 4, 0, 2, 0, 1, 2, 1, 4, 2, 0, 2, 4, 4, 4, 2, 0, 0, 4, 2, 2, 2, 3, 3, 0, 0, 0, 4, 1, 2, 1, 3, 1, 0, 3, 3, 2, 1, 1, 2, 4, 0, 2, 3, 1, 1, 0, 2, 2, 3, 4, 3, 4, 4, 2, 3, 2, 1, 0, 2, 2, 2, 1, 1, 1, 3, 3, 2, 3, 3, 1, 3, 0, 4, 1, 0, 2, 3, 1, 1, 0, 3, 1, 0, 3, 0, 4, 4, 3, 0, 2, 0, 1, 3, 4, 2, 0, 3, 0, 3, 4, 0, 3, 2, 0, 2, 1, 4, 4, 0, 1, 4, 1, 3, 4, 3, 1, 2, 2, 3, 1, 3, 0, 4, 3, 2, 4, 3, 1, 4, 0, 0, 2, 3, 2, 3, 0, 4, 0, 3, 3, 0, 4, 2, 3, 3, 3, 2, 2, 0, 4, 0, 3, 3, 1, 4, 2, 3, 3, 2, 3, 1, 1, 0, 3, 3, 2, 1, 3, 2, 3, 4, 1, 4, 3, 3, 2, 2, 2, 3, 1, 3, 2, 1, 4, 2, 4, 0, 2, 1, 2, 1, 3, 2, 1, 4, 4, 1, 3, 1, 3, 0, 0, 4, 3, 2, 0, 1, 0, 3, 3, 2, 1, 2, 1, 2, 3, 3, 3, 4, 3, 1, 0, 4, 0, 3, 4, 2, 0, 1, 2, 2, 2, 2, 1, 2, 3, 2, 1, 2, 1, 4, 1, 0, 2, 0, 3, 3, 2, 1, 0, 4, 3, 1, 4, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 4, 1, 0, 3, 1, 3, 4, 2, 1, 1, 4, 0, 3, 4, 3, 4, 3, 2, 3, 1, 3, 4, 3, 4, 3, 3, 1, 3, 2, 0, 2, 2, 2, 1, 1, 3, 0, 1, 4, 3, 1, 3, 1]
pubkeycol599 = [3, 0, 4, 4, 0, 3, 0, 2, 4, 3, 3, 1, 0, 4, 1, 2, 3, 1, 0, 4, 3, 4, 4, 0, 2, 4, 2, 2, 3, 4, 3, 0, 4, 3, 1, 3, 4, 0, 1, 2, 4, 3, 2, 3, 1, 1, 0, 0, 1, 1, 4, 2, 3, 2, 3, 3, 2, 0, 0, 1, 1, 3, 2, 2, 2, 4, 0, 3, 0, 3, 0, 4, 3, 4, 4, 4, 3, 0, 2, 2, 0, 4, 0, 0, 2, 4, 1, 4, 0, 4, 2, 3, 0, 2, 2, 1, 2, 1, 0, 4, 3, 1, 3, 4, 0, 2, 0, 4, 1, 0, 4, 1, 4, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 3, 0, 1, 0, 1, 4, 0, 0, 3, 3, 4, 1, 0, 1, 3, 3, 2, 2, 2, 4, 2, 3, 3, 0, 1, 1, 3, 4, 2, 0, 4, 1, 4, 3, 2, 1, 1, 4, 0, 0, 0, 1, 4, 3, 4, 4, 3, 4, 1, 3, 2, 1, 4, 4, 1, 0, 2, 2, 0, 1, 2, 1, 4, 2, 3, 4, 1, 0, 3, 2, 1, 2, 4, 1, 2, 3, 3, 4, 4, 2, 3, 0, 3, 2, 0, 2, 2, 3, 0, 3, 3, 1, 2, 2, 4, 1, 3, 4, 3, 0, 0, 1, 1, 0, 4, 4, 3, 1, 3, 2, 4, 3, 4, 4, 1, 0, 2, 0, 1, 2, 1, 3, 3, 2, 3, 2, 3, 1, 2, 4, 1, 4, 3, 4, 1, 3, 2, 2, 0, 2, 3, 0, 4, 0, 4, 2, 1, 2, 4, 3, 1, 0, 2, 1, 0, 0, 2, 1, 2, 3, 3, 4, 2, 0, 4, 0, 1, 3, 1, 4, 1, 2, 1, 2, 1, 2, 3, 1, 3, 3, 0, 1, 4, 2, 0, 2, 4, 2, 4, 3, 1, 3, 1, 0, 2, 4, 3, 2, 3, 1, 3, 1, 1, 4, 2, 0, 0, 4, 4, 0, 3, 3, 3, 3, 4, 2, 0, 3, 2, 3, 3, 0, 4, 4, 1, 0, 4, 4, 4, 3, 0, 1, 1, 3, 0, 4, 2, 2, 3, 1, 2, 0, 0, 4, 3, 2, 0, 4, 0, 4, 3, 4, 2, 4, 4, 0, 0, 0, 2, 4, 3, 2, 4, 0, 2, 1, 3, 4, 3, 1, 4, 1, 3, 1, 1, 1]
pubkeycol600 = [4, 2, 0, 0, 0, 4, 3, 3, 4, 4, 3, 3, 2, 4, 1, 2, 1, 1, 4, 1, 3, 4, 3, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 4, 4, 4, 2, 3, 4, 1, 0, 2, 1, 2, 0, 4, 2, 2, 1, 1, 2, 4, 4, 1, 2, 3, 2, 1, 0, 4, 0, 3, 3, 2, 3, 4, 0, 1, 2, 4, 2, 1, 1, 3, 4, 0, 3, 2, 2, 2, 2, 2, 4, 3, 3, 0, 0, 2, 1, 4, 4, 2, 2, 4, 3, 4, 4, 3, 4, 2, 3, 2, 3, 4, 1, 2, 0, 1, 1, 4, 3, 3, 4, 4, 4, 2, 2, 4, 2, 2, 3, 2, 2, 4, 3, 2, 3, 3, 1, 4, 1, 1, 4, 4, 0, 2, 2, 0, 4, 2, 1, 3, 4, 4, 3, 1, 2, 3, 1, 3, 3, 1, 4, 2, 4, 1, 2, 2, 4, 2, 3, 2, 0, 4, 3, 3, 2, 0, 2, 0, 4, 2, 2, 4, 3, 2, 2, 0, 0, 4, 3, 0, 2, 1, 4, 3, 1, 2, 4, 4, 3, 4, 1, 4, 3, 4, 0, 1, 1, 4, 2, 2, 0, 3, 0, 4, 2, 2, 0, 4, 4, 0, 4, 3, 3, 2, 4, 4, 1, 4, 3, 4, 3, 2, 3, 3, 4, 0, 0, 1, 3, 0, 3, 0, 3, 4, 1, 1, 2, 3, 4, 4, 3, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 4, 4, 2, 3, 4, 0, 0, 2, 4, 2, 2, 3, 3, 0, 2, 0, 2, 3, 0, 4, 4, 1, 2, 3, 3, 1, 0, 1, 2, 1, 1, 3, 1, 3, 4, 4, 0, 4, 4, 0, 4, 3, 4, 0, 1, 1, 1, 0, 2, 2, 1, 3, 3, 0, 2, 1, 0, 0, 3, 2, 0, 4, 1, 2, 4, 4, 4, 2, 2, 0, 0, 4, 4, 2, 1, 3, 0, 1, 2, 0, 4, 4, 0, 0, 2, 4, 4, 1, 3, 1, 2, 4, 0, 2, 0, 4, 4, 2, 4, 0, 0, 0, 4, 3, 2, 4, 4, 3, 3, 3, 2, 4, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 3, 4, 2, 2, 1, 1, 0, 2, 2, 0, 3, 2, 1, 4, 1, 4, 0, 2, 3, 1, 1, 2]
pubkeycol601 = [4, 3, 4, 1, 1, 4, 4, 2, 2, 0, 1, 0, 2, 1, 3, 1, 0, 3, 2, 0, 1, 2, 1, 2, 0, 4, 1, 0, 4, 3, 4, 3, 4, 2, 4, 3, 2, 4, 0, 2, 0, 1, 4, 0, 3, 1, 3, 3, 3, 3, 1, 0, 3, 3, 3, 3, 1, 4, 4, 3, 2, 1, 4, 4, 2, 3, 2, 2, 4, 3, 2, 4, 3, 1, 1, 3, 0, 3, 1, 0, 2, 2, 1, 4, 4, 3, 4, 1, 1, 2, 0, 4, 3, 2, 4, 0, 1, 3, 3, 2, 1, 1, 3, 0, 1, 3, 2, 0, 4, 0, 3, 4, 4, 1, 3, 2, 0, 4, 0, 4, 4, 0, 4, 3, 3, 4, 4, 3, 0, 2, 4, 2, 1, 1, 3, 0, 1, 3, 1, 0, 2, 1, 2, 2, 2, 0, 3, 4, 4, 4, 0, 3, 4, 2, 0, 4, 2, 4, 0, 3, 4, 2, 4, 4, 2, 1, 2, 3, 0, 1, 3, 0, 4, 1, 3, 2, 3, 4, 2, 4, 1, 4, 3, 1, 2, 0, 2, 0, 2, 3, 3, 4, 4, 1, 2, 1, 4, 2, 4, 0, 1, 2, 4, 4, 1, 2, 4, 4, 1, 4, 0, 2, 0, 4, 2, 2, 3, 0, 3, 1, 3, 2, 3, 0, 3, 4, 1, 4, 1, 0, 1, 4, 1, 4, 1, 4, 1, 3, 0, 3, 0, 3, 2, 0, 2, 3, 1, 0, 4, 2, 4, 1, 1, 4, 3, 2, 2, 1, 1, 1, 3, 3, 0, 1, 3, 2, 3, 3, 0, 2, 0, 4, 1, 0, 4, 0, 1, 1, 4, 1, 1, 0, 2, 4, 0, 4, 1, 1, 1, 4, 0, 3, 4, 2, 1, 4, 1, 2, 1, 0, 0, 0, 4, 1, 3, 1, 2, 2, 2, 1, 4, 0, 2, 0, 4, 4, 0, 3, 2, 3, 0, 3, 3, 2, 2, 0, 4, 2, 2, 1, 4, 3, 4, 0, 4, 3, 4, 4, 3, 0, 4, 4, 1, 3, 1, 2, 2, 1, 4, 0, 2, 3, 4, 2, 0, 3, 2, 3, 0, 0, 3, 4, 0, 0, 2, 0, 1, 0, 1, 4, 4, 1, 3, 3, 0, 1, 2, 1, 0, 3, 2, 1, 0, 0, 2, 0, 3, 4, 0, 2, 0, 0, 1, 0, 1, 4, 0, 2, 3, 3]
pubkeycol602 = [1, 2, 3, 3, 3, 1, 0, 1, 3, 1, 1, 0, 0, 4, 2, 4, 3, 3, 2, 1, 1, 0, 2, 3, 1, 3, 2, 4, 0, 1, 2, 3, 0, 0, 2, 0, 2, 4, 2, 2, 3, 1, 4, 0, 0, 4, 1, 3, 1, 0, 2, 4, 4, 4, 0, 4, 2, 0, 1, 4, 2, 4, 3, 0, 0, 4, 0, 4, 1, 2, 4, 0, 0, 2, 0, 2, 3, 1, 2, 4, 0, 0, 4, 1, 4, 4, 1, 0, 3, 2, 4, 1, 0, 2, 2, 0, 4, 4, 2, 1, 3, 4, 3, 0, 2, 1, 4, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 4, 0, 4, 3, 2, 0, 2, 2, 2, 3, 0, 4, 1, 0, 3, 0, 2, 2, 2, 0, 3, 0, 4, 0, 0, 4, 3, 1, 1, 3, 1, 2, 3, 0, 1, 4, 4, 3, 2, 2, 1, 0, 0, 1, 2, 0, 4, 2, 2, 4, 2, 2, 1, 4, 3, 1, 0, 2, 0, 0, 2, 1, 3, 3, 1, 0, 4, 3, 1, 2, 0, 3, 2, 0, 1, 0, 4, 3, 2, 3, 2, 2, 4, 2, 2, 3, 2, 2, 1, 3, 4, 4, 2, 1, 1, 4, 4, 0, 2, 2, 4, 2, 3, 1, 1, 0, 2, 2, 0, 4, 0, 3, 1, 4, 2, 1, 4, 1, 2, 3, 0, 4, 1, 1, 1, 2, 3, 4, 1, 2, 3, 0, 3, 2, 2, 1, 1, 0, 3, 1, 1, 4, 2, 0, 4, 2, 2, 3, 0, 0, 4, 4, 4, 3, 3, 0, 1, 4, 0, 0, 2, 1, 2, 2, 4, 3, 0, 2, 1, 4, 0, 4, 2, 0, 4, 0, 1, 2, 4, 0, 2, 0, 3, 0, 2, 2, 4, 1, 0, 0, 3, 4, 0, 3, 0, 4, 3, 2, 4, 2, 3, 3, 4, 1, 4, 3, 4, 4, 3, 3, 4, 1, 3, 4, 3, 2, 3, 4, 4, 1, 1, 0, 1, 3, 0, 3, 4, 1, 4, 3, 4, 0, 4, 4, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 4, 0, 4, 2, 0, 2, 1, 4, 0, 4, 3, 4, 2, 2, 1, 0, 3, 4, 0, 2, 1, 2, 1, 3, 4, 3, 0, 4, 1, 1, 3, 4, 4, 1, 3, 1]
pubkeycol603 = [1, 3, 1, 0, 4, 0, 1, 0, 3, 2, 1, 0, 3, 0, 1, 4, 2, 3, 4, 3, 2, 1, 4, 2, 0, 3, 4, 3, 2, 0, 0, 1, 3, 1, 2, 0, 0, 4, 3, 4, 0, 2, 1, 3, 4, 3, 2, 0, 2, 0, 0, 1, 3, 0, 0, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 2, 3, 1, 4, 4, 2, 1, 2, 2, 3, 1, 2, 4, 2, 0, 1, 3, 1, 4, 2, 1, 3, 0, 2, 4, 3, 2, 0, 0, 4, 0, 1, 0, 3, 0, 1, 2, 1, 0, 3, 4, 3, 4, 0, 2, 1, 3, 4, 2, 2, 3, 3, 1, 1, 4, 1, 1, 2, 2, 4, 3, 2, 1, 4, 0, 3, 2, 2, 2, 0, 4, 4, 3, 0, 0, 4, 0, 4, 1, 4, 0, 1, 3, 0, 0, 1, 2, 4, 4, 2, 3, 4, 0, 2, 1, 2, 4, 3, 0, 3, 0, 1, 1, 2, 1, 2, 2, 1, 0, 3, 3, 0, 1, 4, 2, 0, 2, 1, 3, 2, 2, 3, 0, 2, 4, 0, 1, 2, 0, 2, 1, 2, 3, 4, 3, 4, 2, 3, 2, 1, 1, 4, 1, 0, 2, 3, 4, 0, 2, 2, 0, 1, 3, 1, 3, 2, 2, 4, 0, 4, 3, 0, 1, 4, 3, 2, 3, 1, 3, 1, 1, 4, 1, 1, 4, 3, 0, 2, 4, 3, 1, 4, 3, 1, 4, 0, 3, 4, 3, 4, 2, 1, 0, 2, 3, 4, 0, 4, 2, 4, 3, 3, 4, 0, 4, 3, 1, 2, 3, 2, 1, 4, 3, 1, 4, 0, 0, 0, 2, 2, 3, 2, 4, 2, 3, 2, 1, 1, 4, 2, 3, 3, 4, 0, 3, 2, 4, 1, 2, 4, 0, 2, 4, 2, 4, 3, 2, 3, 2, 1, 0, 3, 0, 4, 0, 3, 4, 2, 0, 4, 4, 3, 1, 4, 3, 2, 2, 3, 4, 4, 3, 0, 4, 0, 3, 2, 2, 1, 3, 4, 1, 0, 1, 3, 1, 1, 4, 2, 1, 1, 2, 3, 1, 3, 3, 2, 3, 4, 0, 1, 0, 0, 4, 2, 0, 0, 3, 3, 2, 2, 0, 1, 4, 4, 4, 0, 4, 4, 4, 1, 0, 4, 2, 4, 0, 0, 0, 3, 2, 4, 2, 1, 4, 4, 3]
pubkeycol604 = [2, 0, 1, 3, 4, 4, 3, 4, 1, 0, 1, 0, 1, 4, 3, 3, 3, 3, 3, 1, 1, 2, 0, 0, 3, 0, 0, 4, 3, 0, 3, 4, 4, 1, 2, 3, 3, 1, 2, 0, 2, 3, 2, 2, 0, 2, 3, 1, 1, 4, 3, 4, 0, 1, 2, 4, 3, 2, 2, 4, 2, 3, 2, 0, 2, 0, 2, 0, 4, 2, 3, 1, 3, 4, 2, 0, 3, 1, 4, 2, 4, 2, 3, 1, 0, 3, 4, 2, 2, 3, 0, 4, 1, 2, 4, 1, 4, 3, 0, 4, 3, 1, 2, 3, 3, 0, 0, 0, 3, 0, 2, 3, 2, 3, 4, 4, 3, 3, 4, 2, 4, 1, 1, 3, 1, 0, 4, 2, 3, 1, 4, 0, 0, 4, 4, 3, 3, 2, 4, 3, 1, 1, 4, 3, 3, 0, 2, 2, 4, 3, 4, 2, 0, 1, 4, 2, 4, 0, 3, 0, 4, 2, 4, 3, 2, 1, 2, 3, 3, 3, 4, 2, 0, 1, 1, 1, 4, 2, 2, 1, 1, 2, 1, 3, 0, 2, 0, 0, 0, 2, 1, 1, 4, 1, 1, 0, 0, 3, 2, 0, 0, 3, 2, 0, 2, 4, 2, 0, 0, 2, 3, 0, 3, 0, 0, 3, 4, 0, 1, 2, 2, 4, 3, 3, 3, 3, 2, 3, 0, 3, 0, 2, 1, 1, 3, 3, 1, 3, 3, 2, 0, 1, 4, 3, 0, 0, 4, 4, 3, 2, 1, 0, 3, 2, 4, 1, 0, 3, 3, 4, 4, 1, 0, 4, 1, 3, 0, 1, 1, 2, 2, 3, 4, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 4, 4, 0, 3, 1, 1, 3, 4, 1, 1, 1, 1, 1, 4, 0, 3, 1, 0, 4, 1, 4, 2, 0, 1, 4, 3, 1, 0, 3, 0, 3, 0, 4, 4, 1, 4, 2, 4, 4, 2, 4, 4, 4, 4, 1, 3, 0, 0, 3, 1, 2, 0, 3, 0, 0, 0, 1, 3, 0, 1, 0, 3, 2, 1, 0, 1, 4, 0, 2, 3, 3, 2, 0, 4, 0, 3, 4, 2, 1, 4, 0, 3, 0, 3, 2, 2, 2, 4, 4, 0, 2, 0, 4, 2, 4, 0, 2, 3, 3, 4, 0, 1, 3, 1, 1, 1, 1, 0, 2, 2, 4, 1, 1, 2, 3, 3]
pubkeycol605 = [0, 2, 2, 4, 2, 3, 4, 3, 3, 0, 3, 1, 1, 4, 0, 2, 0, 3, 3, 1, 2, 3, 0, 3, 0, 1, 2, 0, 1, 3, 0, 3, 4, 2, 1, 4, 4, 1, 2, 3, 4, 0, 4, 3, 1, 3, 4, 4, 1, 3, 2, 2, 3, 3, 0, 1, 3, 1, 4, 3, 0, 4, 1, 4, 1, 1, 0, 3, 4, 4, 3, 0, 0, 3, 4, 1, 1, 0, 4, 2, 1, 2, 0, 1, 2, 4, 4, 2, 4, 2, 3, 3, 2, 2, 0, 4, 3, 3, 0, 2, 1, 2, 3, 2, 4, 2, 3, 1, 2, 0, 1, 1, 4, 4, 3, 3, 3, 2, 2, 0, 0, 3, 0, 3, 2, 3, 2, 4, 1, 2, 0, 3, 1, 2, 1, 3, 1, 4, 0, 2, 0, 2, 3, 0, 1, 4, 0, 1, 0, 0, 3, 2, 4, 0, 2, 1, 4, 0, 2, 0, 0, 2, 4, 3, 3, 4, 0, 0, 1, 3, 1, 3, 0, 2, 2, 3, 1, 3, 4, 4, 2, 1, 0, 4, 4, 0, 4, 0, 4, 2, 2, 3, 4, 4, 3, 3, 2, 0, 1, 4, 1, 3, 4, 0, 3, 2, 1, 4, 4, 1, 4, 4, 1, 0, 4, 1, 4, 3, 1, 0, 2, 4, 2, 3, 4, 3, 0, 0, 4, 2, 3, 3, 2, 2, 0, 0, 4, 2, 3, 0, 1, 1, 4, 4, 0, 3, 0, 0, 3, 0, 2, 2, 2, 1, 1, 3, 0, 1, 4, 0, 2, 3, 2, 0, 3, 4, 1, 2, 3, 0, 0, 2, 4, 3, 3, 4, 1, 2, 1, 4, 2, 1, 3, 1, 0, 3, 0, 0, 2, 4, 2, 3, 4, 4, 2, 0, 2, 2, 3, 3, 1, 1, 3, 4, 3, 4, 2, 0, 4, 4, 1, 2, 0, 1, 0, 3, 0, 0, 2, 0, 3, 0, 3, 1, 4, 3, 4, 0, 4, 2, 4, 4, 0, 2, 1, 3, 4, 4, 2, 3, 1, 3, 0, 2, 2, 4, 0, 1, 4, 3, 0, 4, 1, 0, 0, 4, 4, 1, 3, 1, 0, 0, 0, 1, 4, 3, 0, 4, 2, 4, 2, 1, 3, 1, 4, 2, 3, 0, 4, 0, 3, 2, 4, 1, 1, 4, 3, 4, 3, 2, 1, 0, 2, 1, 1, 4, 4, 2, 1, 1]
pubkeycol606 = [1, 4, 4, 1, 3, 3, 1, 4, 2, 1, 1, 3, 3, 1, 4, 4, 3, 2, 1, 3, 1, 3, 4, 0, 3, 2, 1, 0, 1, 1, 0, 3, 4, 0, 3, 4, 3, 1, 4, 3, 0, 2, 0, 0, 3, 2, 1, 3, 2, 0, 1, 4, 1, 1, 1, 0, 4, 3, 2, 1, 4, 2, 1, 0, 4, 4, 2, 4, 0, 2, 0, 2, 4, 1, 3, 3, 3, 1, 0, 0, 1, 4, 3, 3, 4, 1, 0, 4, 1, 4, 2, 1, 2, 0, 3, 3, 3, 1, 0, 2, 4, 2, 3, 4, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 4, 3, 4, 1, 3, 1, 1, 0, 4, 0, 4, 2, 4, 3, 0, 1, 0, 3, 0, 4, 4, 3, 0, 1, 2, 2, 1, 1, 3, 4, 2, 1, 3, 0, 0, 0, 0, 1, 4, 1, 1, 2, 1, 4, 0, 4, 2, 2, 1, 1, 4, 1, 2, 3, 0, 4, 3, 2, 3, 2, 1, 2, 2, 2, 3, 4, 2, 4, 1, 0, 1, 2, 3, 2, 1, 1, 1, 4, 4, 0, 2, 3, 1, 3, 1, 3, 2, 0, 4, 3, 1, 0, 1, 2, 2, 1, 4, 1, 0, 1, 3, 0, 3, 1, 3, 1, 2, 4, 2, 0, 0, 4, 3, 2, 4, 2, 1, 4, 0, 4, 2, 1, 0, 1, 2, 3, 0, 1, 2, 1, 3, 1, 2, 0, 1, 0, 0, 1, 4, 1, 4, 0, 2, 2, 4, 3, 2, 1, 3, 4, 3, 1, 3, 4, 0, 0, 1, 2, 0, 0, 3, 1, 0, 1, 1, 1, 1, 3, 1, 3, 1, 4, 3, 0, 4, 4, 4, 0, 2, 2, 2, 1, 4, 0, 0, 1, 1, 3, 0, 2, 0, 0, 1, 3, 3, 4, 0, 1, 1, 1, 0, 4, 0, 4, 2, 1, 0, 1, 1, 1, 4, 2, 3, 3, 4, 2, 4, 0, 2, 2, 4, 3, 0, 1, 1, 0, 2, 2, 4, 3, 0, 3, 3, 1, 0, 2, 0, 0, 2, 3, 3, 2, 2, 1, 4, 1, 4, 0, 4, 1, 3, 2, 2, 4, 3, 3, 4, 2, 4, 2, 1, 2, 2, 3, 3, 2, 0, 3, 2, 4, 0, 2, 4, 4, 0, 0, 1, 4, 0, 0, 3, 2, 3, 4, 3, 0]
pubkeycol607 = [4, 0, 2, 3, 1, 1, 1, 1, 1, 1, 3, 3, 2, 3, 2, 2, 4, 2, 0, 4, 2, 1, 3, 0, 2, 2, 2, 2, 0, 2, 0, 2, 4, 3, 0, 3, 0, 4, 2, 3, 3, 3, 4, 0, 3, 1, 3, 2, 2, 3, 3, 0, 1, 2, 3, 0, 1, 3, 2, 0, 3, 2, 0, 1, 4, 1, 1, 3, 2, 4, 4, 3, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 3, 0, 1, 4, 1, 2, 4, 1, 0, 4, 3, 2, 3, 4, 1, 0, 2, 4, 2, 0, 4, 4, 2, 3, 1, 0, 0, 2, 0, 3, 4, 2, 4, 1, 3, 2, 3, 1, 0, 0, 0, 4, 0, 0, 0, 3, 1, 4, 3, 1, 3, 4, 2, 3, 0, 3, 4, 3, 1, 3, 3, 3, 3, 0, 3, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 3, 2, 2, 3, 4, 1, 4, 0, 0, 4, 2, 1, 4, 3, 2, 2, 1, 1, 2, 0, 2, 4, 3, 4, 3, 4, 0, 0, 2, 4, 1, 3, 4, 2, 1, 0, 3, 2, 1, 4, 3, 1, 1, 2, 2, 3, 1, 2, 3, 4, 4, 4, 2, 2, 0, 0, 1, 0, 4, 3, 1, 4, 2, 1, 2, 4, 0, 0, 1, 4, 4, 3, 3, 3, 3, 4, 0, 4, 2, 2, 4, 3, 3, 4, 2, 0, 4, 1, 1, 2, 4, 1, 3, 2, 0, 4, 1, 3, 3, 0, 3, 4, 1, 3, 4, 1, 0, 3, 4, 4, 4, 3, 1, 4, 2, 0, 3, 4, 4, 4, 2, 3, 3, 0, 4, 2, 4, 2, 4, 1, 3, 3, 3, 1, 0, 4, 3, 3, 3, 1, 3, 0, 3, 4, 3, 0, 3, 2, 4, 4, 2, 2, 4, 1, 0, 2, 3, 3, 2, 4, 1, 0, 2, 3, 0, 2, 2, 3, 2, 1, 1, 1, 1, 4, 0, 1, 0, 0, 2, 0, 2, 1, 3, 0, 4, 0, 3, 1, 0, 4, 1, 3, 0, 2, 2, 2, 0, 1, 1, 2, 1, 4, 4, 1, 3, 4, 2, 1, 3, 2, 1, 3, 4, 3, 3, 0, 3, 1, 2, 4, 0, 0, 3, 3, 0, 3, 3, 0, 4, 0, 3, 2, 3, 0, 0, 4, 3, 2, 0, 2]
pubkeycol608 = [3, 0, 3, 0, 4, 4, 2, 4, 4, 1, 0, 3, 1, 4, 3, 3, 4, 0, 0, 1, 0, 2, 1, 1, 2, 1, 4, 3, 3, 1, 2, 3, 4, 4, 0, 4, 2, 3, 1, 3, 3, 1, 1, 4, 1, 0, 4, 4, 1, 4, 3, 2, 0, 2, 2, 3, 4, 3, 4, 3, 2, 4, 0, 1, 0, 2, 1, 1, 4, 0, 4, 1, 1, 1, 4, 3, 4, 1, 2, 4, 2, 4, 1, 2, 1, 2, 4, 2, 1, 2, 1, 0, 0, 3, 4, 1, 3, 1, 0, 0, 3, 1, 4, 3, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 4, 2, 0, 3, 2, 1, 1, 4, 2, 1, 4, 4, 3, 3, 3, 0, 1, 3, 3, 3, 2, 1, 3, 1, 3, 3, 0, 2, 1, 0, 1, 3, 1, 0, 1, 0, 2, 1, 2, 4, 1, 0, 0, 3, 0, 4, 4, 3, 0, 2, 2, 4, 1, 2, 1, 0, 4, 1, 2, 2, 4, 4, 2, 4, 3, 1, 2, 3, 1, 4, 3, 2, 2, 2, 2, 4, 2, 1, 4, 3, 0, 3, 0, 1, 3, 3, 4, 4, 0, 0, 0, 1, 3, 2, 2, 1, 3, 3, 0, 1, 0, 4, 0, 4, 4, 2, 3, 0, 2, 0, 3, 0, 3, 0, 2, 0, 0, 4, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 3, 2, 3, 0, 0, 4, 4, 1, 2, 4, 4, 3, 1, 3, 4, 4, 4, 3, 0, 1, 2, 2, 0, 1, 4, 1, 0, 3, 4, 0, 1, 0, 3, 4, 3, 4, 4, 3, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 3, 3, 4, 4, 3, 1, 2, 1, 1, 0, 2, 1, 4, 3, 1, 2, 4, 1, 0, 2, 0, 4, 0, 4, 2, 3, 3, 1, 0, 1, 4, 4, 2, 3, 2, 0, 4, 3, 4, 2, 3, 3, 2, 1, 4, 2, 2, 3, 0, 0, 4, 0, 4, 3, 0, 1, 2, 2, 4, 1, 1, 4, 2, 4, 3, 4, 1, 4, 4, 0, 0, 2, 3, 2, 3, 2, 0, 0, 1, 2, 3, 3, 0, 3, 1, 0, 0, 4, 0, 3, 2, 2, 1, 4, 4, 4, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 3, 4]
pubkeycol609 = [4, 3, 2, 1, 1, 4, 3, 2, 2, 1, 2, 0, 0, 4, 2, 3, 4, 2, 4, 0, 1, 3, 0, 3, 2, 0, 1, 4, 4, 4, 3, 2, 0, 2, 2, 1, 3, 1, 2, 2, 4, 0, 0, 1, 0, 3, 1, 0, 2, 2, 4, 0, 0, 1, 3, 4, 3, 0, 0, 3, 4, 1, 0, 3, 0, 2, 2, 4, 2, 3, 2, 3, 4, 0, 1, 0, 0, 1, 3, 0, 3, 2, 1, 3, 1, 3, 4, 3, 1, 3, 2, 0, 4, 1, 0, 3, 4, 2, 4, 3, 3, 3, 3, 4, 2, 1, 1, 3, 0, 2, 1, 2, 0, 2, 3, 0, 1, 4, 2, 4, 4, 3, 3, 1, 4, 3, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 3, 1, 1, 3, 1, 0, 1, 3, 0, 0, 4, 1, 0, 0, 3, 4, 0, 2, 2, 4, 4, 3, 2, 4, 1, 1, 4, 4, 3, 3, 3, 3, 4, 3, 1, 4, 0, 4, 0, 4, 1, 1, 2, 2, 1, 3, 1, 2, 4, 3, 0, 0, 0, 3, 0, 3, 2, 4, 4, 1, 4, 2, 2, 1, 4, 3, 1, 3, 1, 2, 3, 0, 3, 3, 1, 0, 4, 1, 3, 1, 3, 3, 4, 4, 0, 2, 3, 4, 2, 3, 4, 4, 1, 0, 4, 0, 3, 4, 0, 1, 4, 3, 1, 1, 0, 4, 2, 1, 3, 3, 2, 1, 3, 3, 1, 3, 2, 4, 1, 4, 3, 2, 2, 0, 1, 0, 4, 2, 4, 3, 0, 0, 3, 0, 2, 1, 4, 4, 2, 1, 1, 3, 3, 2, 3, 0, 2, 3, 4, 1, 4, 4, 2, 1, 1, 4, 3, 0, 4, 0, 3, 1, 2, 4, 4, 4, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 4, 1, 2, 2, 4, 4, 1, 4, 1, 1, 1, 4, 0, 3, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 4, 3, 1, 0, 1, 2, 1, 4, 4, 4, 4, 1, 2, 1, 4, 0, 1, 4, 2, 4, 1, 2, 1, 2, 1, 3, 0, 3, 3, 4, 3, 0, 2, 2, 3, 0, 4, 3, 2, 3, 0, 1, 3, 0, 4, 0, 2, 3, 2, 3, 2, 4, 4, 0, 0, 2, 0, 4, 1, 4, 3, 1, 4, 3]
pubkeycol610 = [4, 0, 3, 2, 1, 2, 3, 2, 4, 1, 3, 1, 0, 1, 4, 4, 0, 2, 4, 4, 2, 4, 2, 3, 0, 2, 2, 2, 2, 2, 1, 3, 0, 1, 1, 1, 2, 4, 1, 4, 3, 4, 1, 2, 1, 1, 1, 1, 2, 3, 4, 2, 0, 1, 3, 3, 0, 4, 1, 3, 2, 4, 4, 0, 4, 2, 0, 1, 1, 0, 4, 4, 3, 2, 2, 1, 3, 3, 0, 2, 2, 1, 1, 3, 3, 1, 1, 4, 2, 2, 3, 0, 4, 3, 1, 1, 3, 4, 3, 3, 1, 3, 4, 1, 2, 2, 1, 3, 3, 4, 0, 2, 4, 4, 1, 3, 2, 1, 4, 2, 0, 3, 0, 3, 4, 0, 4, 0, 0, 0, 1, 3, 4, 0, 3, 1, 1, 4, 4, 4, 0, 4, 0, 0, 1, 4, 0, 4, 2, 3, 0, 3, 0, 4, 2, 0, 4, 4, 4, 0, 1, 2, 3, 4, 2, 4, 0, 3, 4, 1, 2, 3, 3, 3, 1, 2, 0, 4, 0, 3, 1, 2, 2, 1, 0, 2, 3, 4, 1, 3, 4, 4, 4, 0, 4, 0, 3, 2, 3, 3, 0, 2, 3, 0, 4, 2, 4, 3, 4, 4, 3, 3, 1, 1, 4, 3, 4, 2, 2, 0, 3, 2, 0, 0, 0, 0, 0, 4, 3, 4, 0, 0, 4, 0, 0, 1, 4, 2, 1, 4, 3, 1, 1, 3, 3, 1, 0, 2, 2, 1, 0, 2, 4, 2, 4, 2, 1, 1, 2, 0, 2, 1, 4, 3, 2, 4, 0, 4, 3, 2, 2, 4, 2, 4, 4, 4, 4, 4, 1, 4, 0, 3, 4, 3, 2, 0, 3, 0, 2, 0, 3, 3, 3, 4, 0, 3, 3, 0, 2, 3, 4, 4, 1, 4, 1, 4, 3, 4, 2, 1, 1, 4, 2, 4, 1, 0, 2, 1, 3, 4, 1, 4, 4, 0, 4, 4, 2, 3, 3, 0, 3, 2, 4, 0, 4, 2, 1, 4, 0, 3, 2, 0, 1, 3, 4, 4, 0, 1, 3, 3, 0, 3, 4, 0, 3, 2, 4, 4, 3, 2, 1, 2, 2, 1, 1, 2, 2, 3, 4, 1, 2, 1, 0, 0, 2, 0, 2, 4, 2, 3, 2, 1, 4, 4, 1, 3, 4, 3, 4, 2, 0, 3, 1, 1, 2, 0, 4, 3, 1, 0]
pubkeycol611 = [3, 1, 4, 0, 4, 3, 0, 0, 2, 0, 4, 2, 2, 2, 0, 4, 0, 2, 0, 3, 4, 3, 1, 2, 2, 1, 4, 1, 2, 3, 3, 2, 2, 4, 3, 2, 1, 4, 1, 1, 0, 3, 2, 3, 1, 2, 1, 1, 0, 1, 1, 4, 2, 1, 3, 2, 0, 2, 2, 3, 3, 1, 3, 3, 0, 0, 0, 0, 1, 1, 3, 0, 3, 3, 0, 2, 3, 2, 2, 1, 2, 3, 3, 1, 0, 0, 0, 2, 4, 0, 3, 0, 2, 2, 4, 4, 4, 1, 4, 2, 1, 4, 2, 1, 1, 0, 3, 4, 2, 2, 3, 2, 0, 4, 3, 1, 0, 1, 3, 2, 4, 2, 0, 2, 3, 1, 2, 1, 1, 3, 4, 0, 0, 3, 3, 4, 2, 3, 0, 4, 2, 1, 2, 2, 3, 3, 3, 3, 3, 0, 4, 4, 3, 4, 1, 3, 2, 0, 4, 2, 2, 0, 1, 1, 3, 1, 0, 2, 1, 2, 2, 2, 4, 2, 4, 4, 3, 0, 1, 1, 0, 4, 4, 4, 0, 1, 4, 3, 2, 1, 2, 1, 0, 1, 4, 0, 4, 4, 0, 3, 0, 0, 0, 2, 3, 0, 4, 2, 0, 4, 4, 2, 3, 2, 3, 2, 1, 0, 0, 0, 2, 4, 3, 3, 4, 2, 3, 3, 0, 4, 2, 1, 4, 4, 4, 3, 1, 3, 3, 3, 4, 3, 0, 1, 4, 4, 3, 1, 2, 1, 0, 1, 2, 3, 0, 2, 0, 3, 2, 0, 2, 0, 3, 4, 2, 1, 4, 3, 4, 3, 1, 2, 4, 0, 2, 2, 3, 1, 2, 1, 0, 2, 2, 4, 2, 2, 4, 1, 4, 3, 4, 0, 0, 4, 4, 3, 0, 3, 2, 2, 3, 1, 2, 3, 0, 2, 1, 3, 0, 3, 4, 2, 0, 1, 0, 1, 2, 3, 3, 0, 0, 0, 0, 2, 1, 2, 4, 2, 3, 3, 1, 1, 1, 0, 0, 2, 1, 1, 1, 3, 0, 1, 2, 0, 0, 3, 0, 3, 2, 4, 2, 3, 2, 1, 4, 2, 1, 1, 0, 2, 0, 3, 1, 0, 4, 4, 3, 2, 3, 2, 0, 4, 4, 1, 0, 3, 1, 4, 3, 3, 2, 1, 3, 2, 1, 2, 0, 2, 2, 0, 1, 4, 4, 2, 3, 2, 0, 1, 1, 2]
pubkeycol612 = [1, 0, 3, 4, 4, 1, 2, 0, 2, 3, 4, 4, 4, 2, 1, 3, 2, 2, 4, 2, 2, 4, 4, 3, 1, 0, 0, 1, 4, 1, 4, 4, 1, 3, 3, 4, 0, 0, 0, 3, 0, 2, 1, 0, 0, 4, 1, 1, 1, 2, 1, 1, 3, 3, 3, 3, 2, 0, 2, 4, 4, 2, 2, 1, 2, 4, 4, 0, 4, 1, 1, 4, 4, 2, 1, 3, 2, 2, 0, 2, 4, 1, 1, 2, 4, 0, 3, 3, 4, 3, 4, 1, 0, 3, 1, 4, 1, 0, 2, 4, 2, 2, 1, 0, 2, 0, 4, 0, 3, 3, 0, 4, 4, 4, 1, 3, 4, 1, 0, 1, 1, 1, 2, 3, 1, 2, 3, 1, 3, 4, 1, 4, 2, 1, 1, 2, 4, 2, 0, 1, 1, 3, 3, 4, 1, 2, 3, 4, 2, 4, 3, 3, 4, 0, 2, 3, 1, 2, 1, 0, 4, 3, 2, 2, 1, 4, 4, 2, 1, 0, 2, 4, 3, 4, 0, 2, 2, 1, 4, 1, 1, 2, 3, 1, 4, 2, 2, 1, 2, 0, 2, 3, 0, 2, 0, 0, 0, 1, 0, 2, 0, 3, 4, 1, 1, 3, 0, 0, 4, 4, 3, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 3, 3, 4, 1, 4, 3, 1, 0, 4, 1, 4, 2, 1, 0, 2, 3, 3, 2, 2, 4, 0, 1, 4, 1, 4, 1, 3, 1, 2, 4, 4, 3, 0, 4, 0, 0, 1, 0, 0, 2, 1, 3, 1, 0, 2, 3, 1, 2, 1, 2, 3, 4, 3, 1, 1, 2, 3, 2, 2, 1, 0, 3, 0, 1, 1, 0, 0, 1, 4, 4, 2, 1, 1, 2, 3, 1, 1, 4, 1, 0, 1, 4, 3, 0, 0, 2, 3, 0, 3, 0, 0, 0, 3, 4, 4, 2, 3, 3, 2, 2, 3, 0, 0, 0, 3, 1, 3, 2, 2, 0, 3, 1, 2, 1, 1, 4, 1, 4, 4, 1, 2, 1, 0, 0, 0, 0, 2, 2, 3, 1, 3, 0, 3, 2, 1, 4, 0, 2, 1, 2, 4, 1, 2, 0, 3, 1, 0, 4, 1, 2, 3, 3, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 4, 0, 3, 1, 4, 1, 2, 1, 0, 3, 0, 4, 2, 3, 4, 1]
pubkeycol613 = [3, 4, 0, 2, 0, 4, 2, 2, 1, 4, 3, 3, 3, 3, 1, 3, 1, 3, 3, 2, 1, 1, 2, 4, 2, 1, 0, 0, 1, 0, 4, 1, 0, 1, 1, 2, 0, 4, 2, 0, 1, 4, 0, 3, 3, 2, 3, 3, 4, 2, 2, 1, 2, 3, 4, 0, 0, 2, 2, 1, 1, 1, 3, 0, 3, 0, 0, 2, 3, 2, 4, 4, 0, 2, 1, 0, 2, 0, 1, 3, 3, 3, 0, 0, 2, 4, 4, 4, 4, 0, 2, 1, 4, 2, 2, 4, 2, 0, 1, 1, 2, 4, 3, 2, 2, 2, 0, 2, 3, 4, 0, 1, 2, 2, 0, 0, 4, 0, 1, 3, 0, 2, 1, 1, 3, 2, 4, 2, 4, 3, 3, 2, 3, 0, 4, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 4, 4, 0, 0, 2, 1, 2, 2, 2, 0, 4, 3, 0, 3, 4, 1, 1, 0, 2, 3, 3, 1, 0, 0, 4, 0, 4, 0, 2, 3, 3, 4, 4, 2, 2, 0, 0, 0, 2, 3, 3, 0, 2, 0, 0, 0, 3, 3, 3, 2, 3, 0, 0, 0, 3, 1, 3, 3, 1, 3, 0, 3, 2, 0, 1, 0, 2, 2, 4, 1, 1, 3, 1, 3, 4, 2, 4, 1, 4, 0, 0, 4, 0, 4, 1, 1, 1, 3, 1, 3, 3, 1, 2, 0, 2, 2, 0, 4, 0, 0, 0, 0, 3, 1, 3, 3, 4, 4, 4, 1, 0, 1, 3, 0, 0, 2, 4, 4, 0, 3, 4, 4, 4, 4, 3, 2, 0, 3, 2, 3, 4, 0, 0, 3, 1, 0, 2, 0, 3, 2, 2, 4, 2, 1, 2, 1, 1, 0, 3, 2, 0, 2, 3, 0, 4, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 3, 1, 0, 3, 4, 4, 0, 1, 2, 4, 4, 1, 1, 4, 4, 0, 0, 3, 3, 2, 2, 1, 4, 2, 0, 4, 0, 0, 1, 0, 2, 3, 3, 3, 3, 0, 3, 3, 1, 0, 2, 1, 3, 0, 0, 4, 0, 1, 2, 3, 3, 0, 0, 0, 0, 3, 1, 3, 0, 0, 2, 2, 0, 4, 4, 4, 4, 0, 0, 4, 2, 2, 0, 0, 0, 1, 2, 4, 0, 4, 4, 3, 0, 4]
pubkeycol614 = [0, 0, 2, 1, 4, 3, 1, 4, 1, 3, 4, 3, 2, 2, 0, 2, 2, 2, 1, 4, 3, 3, 4, 0, 4, 1, 3, 0, 0, 3, 1, 2, 4, 3, 3, 4, 0, 0, 2, 1, 3, 1, 2, 2, 4, 1, 0, 3, 0, 0, 0, 3, 0, 4, 3, 0, 2, 4, 0, 2, 1, 1, 4, 1, 2, 4, 0, 1, 1, 1, 3, 4, 2, 1, 1, 0, 1, 4, 0, 2, 2, 4, 0, 0, 2, 3, 0, 3, 2, 2, 1, 2, 2, 4, 3, 2, 2, 3, 1, 3, 2, 3, 4, 1, 1, 3, 1, 3, 3, 0, 2, 3, 1, 1, 4, 4, 0, 0, 3, 0, 4, 3, 2, 4, 3, 2, 4, 2, 1, 4, 2, 2, 4, 2, 3, 2, 1, 3, 0, 1, 0, 4, 1, 1, 4, 2, 4, 0, 3, 2, 3, 3, 1, 3, 1, 4, 3, 4, 3, 4, 0, 3, 2, 1, 2, 4, 2, 1, 4, 4, 0, 1, 1, 0, 2, 3, 0, 3, 0, 2, 3, 1, 4, 1, 2, 4, 3, 1, 4, 0, 2, 2, 4, 4, 0, 4, 4, 2, 3, 2, 2, 1, 2, 0, 4, 4, 3, 3, 3, 2, 3, 4, 3, 2, 1, 3, 2, 2, 3, 2, 0, 1, 1, 4, 2, 1, 1, 3, 0, 4, 4, 2, 2, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 3, 1, 2, 0, 2, 0, 4, 4, 1, 2, 0, 1, 4, 0, 4, 4, 0, 1, 0, 0, 1, 1, 3, 2, 0, 3, 2, 4, 3, 0, 3, 3, 0, 4, 0, 3, 0, 1, 4, 2, 3, 0, 2, 4, 2, 4, 2, 4, 2, 0, 4, 4, 4, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 4, 1, 2, 4, 0, 0, 4, 2, 0, 3, 0, 1, 4, 2, 2, 0, 0, 2, 1, 3, 4, 0, 1, 0, 2, 2, 3, 3, 2, 0, 3, 4, 1, 0, 2, 3, 0, 3, 3, 3, 4, 1, 1, 4, 1, 3, 3, 2, 1, 0, 3, 3, 2, 3, 1, 2, 0, 3, 3, 4, 2, 0, 0, 4, 2, 1, 0, 3, 4, 4, 1, 4, 0, 3, 0, 4, 4, 3, 1, 3, 4, 0, 1, 1, 0, 2, 0, 2, 1, 2]
pubkeycol615 = [4, 0, 4, 3, 4, 0, 4, 1, 0, 1, 2, 3, 2, 4, 2, 2, 2, 3, 4, 4, 3, 0, 3, 2, 2, 2, 3, 2, 3, 4, 1, 4, 3, 0, 2, 1, 3, 1, 4, 0, 3, 2, 2, 3, 1, 4, 0, 2, 1, 1, 2, 4, 3, 2, 0, 4, 4, 2, 3, 2, 1, 3, 2, 0, 4, 4, 2, 3, 2, 4, 4, 4, 2, 0, 1, 4, 3, 4, 3, 2, 3, 0, 3, 4, 2, 1, 3, 1, 2, 2, 2, 3, 0, 4, 2, 2, 4, 1, 4, 4, 4, 0, 4, 3, 2, 3, 3, 0, 2, 2, 2, 1, 2, 0, 3, 1, 3, 4, 0, 4, 3, 1, 0, 0, 4, 3, 4, 4, 2, 3, 2, 0, 3, 4, 4, 3, 1, 1, 0, 4, 0, 4, 1, 4, 0, 2, 0, 0, 3, 2, 0, 3, 4, 3, 1, 0, 2, 4, 1, 1, 3, 1, 0, 0, 3, 0, 3, 2, 3, 2, 1, 1, 0, 0, 1, 1, 0, 3, 4, 1, 0, 2, 0, 3, 0, 2, 4, 1, 0, 0, 4, 2, 1, 1, 4, 2, 2, 0, 1, 3, 0, 4, 3, 1, 4, 0, 1, 1, 1, 3, 0, 0, 3, 4, 1, 3, 1, 4, 3, 1, 3, 3, 3, 0, 4, 4, 4, 3, 0, 0, 1, 3, 1, 1, 3, 0, 2, 2, 1, 3, 3, 3, 2, 4, 3, 3, 3, 4, 3, 1, 2, 4, 3, 1, 1, 1, 0, 0, 1, 1, 3, 4, 4, 3, 0, 3, 4, 1, 0, 2, 3, 0, 2, 1, 4, 4, 2, 4, 1, 0, 4, 4, 0, 0, 0, 3, 1, 3, 0, 2, 4, 2, 4, 4, 2, 2, 4, 2, 1, 2, 2, 0, 2, 2, 0, 2, 3, 2, 2, 1, 1, 1, 3, 0, 2, 3, 0, 2, 0, 4, 1, 1, 4, 0, 1, 2, 4, 0, 1, 1, 1, 2, 2, 0, 3, 3, 4, 2, 4, 4, 0, 0, 3, 1, 3, 4, 4, 3, 2, 1, 1, 0, 2, 0, 3, 1, 4, 0, 2, 4, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 4, 0, 3, 4, 3, 1, 4, 4, 1, 0, 4, 2, 1, 3, 4, 2, 3, 2, 3, 4, 1, 0, 0, 4, 2, 4, 3]
pubkeycol616 = [0, 2, 3, 4, 2, 1, 3, 0, 4, 4, 3, 2, 0, 2, 2, 1, 1, 0, 1, 3, 3, 1, 3, 4, 3, 2, 2, 0, 3, 1, 2, 2, 3, 4, 2, 0, 1, 4, 4, 4, 0, 4, 2, 0, 2, 4, 3, 1, 2, 3, 2, 1, 2, 0, 2, 0, 1, 3, 3, 0, 2, 3, 2, 1, 3, 3, 2, 3, 1, 2, 1, 1, 3, 3, 0, 0, 0, 1, 1, 3, 2, 4, 3, 4, 3, 3, 4, 0, 3, 1, 1, 4, 3, 3, 1, 3, 0, 4, 2, 1, 0, 3, 4, 4, 4, 3, 2, 1, 0, 2, 3, 3, 3, 0, 1, 1, 2, 4, 2, 4, 4, 1, 4, 0, 2, 0, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 3, 2, 0, 3, 1, 4, 3, 0, 1, 3, 1, 4, 4, 1, 2, 3, 1, 0, 3, 0, 0, 0, 2, 4, 2, 2, 4, 3, 2, 1, 3, 3, 2, 2, 4, 1, 4, 0, 0, 3, 1, 0, 2, 0, 4, 1, 2, 4, 4, 4, 3, 0, 3, 0, 1, 1, 3, 3, 0, 2, 4, 4, 1, 1, 0, 4, 0, 3, 0, 2, 4, 4, 3, 2, 0, 3, 0, 4, 4, 2, 0, 2, 2, 3, 0, 1, 0, 2, 4, 0, 1, 3, 3, 3, 3, 0, 0, 3, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 4, 2, 0, 2, 1, 4, 0, 4, 2, 3, 3, 0, 4, 3, 2, 2, 1, 1, 4, 4, 1, 4, 1, 4, 0, 3, 0, 1, 0, 4, 4, 1, 1, 3, 0, 0, 4, 4, 0, 4, 0, 4, 2, 0, 1, 4, 2, 0, 0, 3, 0, 3, 4, 3, 4, 2, 3, 2, 2, 2, 0, 2, 2, 0, 4, 2, 2, 1, 2, 0, 2, 3, 1, 0, 2, 3, 3, 2, 3, 0, 3, 3, 0, 2, 2, 1, 2, 4, 1, 1, 4, 2, 3, 3, 2, 2, 1, 2, 0, 1, 0, 2, 1, 3, 1, 2, 4, 1, 3, 0, 2, 3, 3, 2, 0, 3, 0, 1, 1, 2, 4, 2, 1, 3, 2, 2, 4, 2, 1, 3, 1, 4, 1, 0, 1, 0, 1, 1, 2, 3, 3, 2, 0, 0, 2, 2, 0, 4, 3, 1, 1]
pubkeycol617 = [0, 0, 2, 4, 0, 2, 4, 3, 1, 4, 4, 1, 0, 4, 2, 0, 1, 4, 4, 3, 2, 4, 2, 2, 4, 3, 4, 0, 4, 3, 2, 0, 3, 1, 3, 3, 3, 4, 4, 2, 4, 4, 0, 0, 0, 3, 1, 0, 2, 4, 4, 1, 3, 3, 1, 0, 4, 3, 3, 4, 1, 4, 1, 2, 0, 3, 0, 2, 2, 1, 1, 4, 2, 2, 4, 1, 2, 3, 0, 4, 1, 0, 1, 0, 0, 0, 0, 4, 0, 2, 0, 3, 2, 4, 2, 1, 1, 4, 1, 3, 0, 4, 3, 0, 3, 2, 1, 1, 0, 2, 3, 2, 1, 3, 1, 2, 3, 4, 3, 4, 3, 1, 4, 0, 2, 4, 3, 3, 0, 0, 4, 0, 2, 3, 0, 0, 4, 4, 1, 3, 1, 0, 4, 3, 0, 3, 4, 1, 0, 2, 1, 0, 0, 4, 4, 1, 0, 2, 1, 2, 4, 3, 4, 0, 3, 4, 2, 0, 4, 4, 3, 3, 2, 1, 4, 4, 2, 2, 1, 3, 3, 4, 1, 3, 3, 4, 3, 1, 2, 3, 1, 2, 3, 4, 0, 1, 4, 0, 4, 3, 4, 2, 1, 1, 2, 3, 0, 1, 4, 2, 1, 4, 2, 0, 4, 1, 2, 2, 4, 1, 4, 0, 0, 1, 0, 1, 2, 4, 4, 1, 4, 2, 3, 0, 0, 1, 1, 0, 0, 2, 1, 4, 0, 3, 0, 4, 3, 1, 2, 0, 1, 0, 2, 3, 1, 1, 1, 2, 1, 3, 1, 2, 0, 0, 4, 0, 0, 2, 4, 4, 2, 3, 3, 0, 3, 1, 4, 0, 0, 0, 2, 2, 0, 1, 4, 0, 0, 0, 2, 4, 0, 2, 3, 0, 3, 3, 2, 2, 3, 3, 1, 3, 1, 1, 4, 2, 2, 4, 2, 0, 0, 1, 0, 0, 4, 1, 3, 0, 0, 0, 1, 3, 4, 1, 3, 3, 2, 3, 0, 0, 4, 0, 2, 4, 1, 2, 1, 1, 1, 4, 0, 3, 3, 1, 0, 2, 4, 3, 2, 2, 3, 0, 3, 0, 3, 4, 1, 4, 3, 0, 1, 2, 2, 0, 0, 2, 4, 2, 2, 3, 4, 2, 2, 1, 0, 0, 2, 3, 4, 2, 1, 3, 1, 3, 3, 1, 3, 3, 0, 3, 3, 3, 3, 0, 0, 2, 4, 0, 4, 1]
pubkeycol618 = [4, 4, 4, 1, 3, 3, 3, 2, 2, 3, 3, 0, 0, 2, 0, 2, 4, 3, 1, 2, 4, 4, 3, 1, 1, 1, 3, 4, 2, 1, 4, 3, 4, 4, 2, 3, 4, 4, 4, 1, 3, 1, 3, 0, 2, 2, 1, 2, 4, 2, 0, 3, 4, 1, 3, 0, 3, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 4, 4, 2, 2, 0, 2, 3, 3, 4, 3, 2, 3, 4, 0, 4, 2, 0, 4, 2, 1, 2, 4, 1, 3, 4, 1, 1, 1, 0, 0, 4, 4, 2, 0, 1, 3, 1, 3, 0, 4, 0, 0, 2, 1, 2, 4, 2, 1, 0, 2, 4, 2, 4, 1, 4, 3, 1, 1, 3, 0, 3, 0, 0, 1, 1, 1, 3, 2, 3, 4, 1, 3, 3, 3, 3, 3, 0, 1, 3, 4, 4, 4, 4, 2, 0, 3, 2, 4, 3, 0, 0, 0, 2, 2, 4, 1, 0, 3, 3, 3, 1, 2, 2, 1, 1, 1, 2, 2, 1, 3, 4, 2, 0, 1, 1, 1, 2, 1, 4, 4, 3, 2, 1, 0, 1, 0, 2, 4, 0, 3, 1, 2, 2, 1, 2, 3, 4, 4, 3, 4, 3, 4, 1, 0, 3, 2, 3, 4, 0, 3, 3, 2, 0, 4, 3, 2, 4, 1, 2, 2, 4, 4, 1, 2, 3, 1, 0, 0, 2, 3, 1, 1, 0, 2, 1, 2, 4, 3, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 4, 2, 3, 3, 2, 2, 2, 4, 1, 0, 4, 2, 1, 0, 0, 4, 2, 3, 3, 1, 4, 3, 0, 2, 0, 4, 3, 1, 2, 3, 0, 3, 4, 2, 2, 1, 2, 3, 4, 1, 1, 3, 3, 4, 0, 3, 1, 3, 4, 0, 1, 4, 4, 3, 1, 2, 3, 0, 0, 2, 0, 0, 3, 0, 2, 0, 3, 0, 2, 0, 3, 4, 1, 0, 4, 0, 0, 4, 1, 2, 0, 3, 1, 4, 3, 4, 3, 3, 0, 0, 3, 3, 4, 4, 1, 0, 2, 3, 1, 4, 4, 1, 1, 3, 1, 2, 1, 3, 4, 2, 4, 2, 3, 0, 1, 4, 1, 3, 3, 3, 3, 2, 4, 1, 1, 0, 0, 4, 2, 0, 3, 1, 4, 3, 0, 3, 1, 3, 1, 3, 2, 2, 2, 0, 3]
pubkeycol619 = [0, 2, 4, 1, 2, 3, 3, 3, 1, 0, 3, 0, 3, 2, 2, 0, 2, 3, 2, 2, 0, 1, 4, 3, 2, 4, 3, 2, 1, 3, 2, 0, 0, 2, 0, 2, 3, 0, 0, 1, 0, 3, 4, 3, 0, 4, 0, 0, 2, 3, 1, 1, 2, 1, 1, 1, 3, 3, 2, 2, 0, 0, 1, 4, 4, 2, 1, 2, 3, 3, 3, 0, 0, 2, 4, 4, 3, 2, 4, 2, 0, 1, 4, 4, 3, 3, 2, 2, 3, 1, 3, 3, 4, 4, 0, 4, 3, 0, 0, 2, 0, 4, 4, 0, 0, 0, 2, 0, 4, 0, 3, 3, 3, 3, 2, 2, 1, 4, 3, 1, 4, 4, 1, 4, 3, 1, 2, 3, 4, 2, 4, 0, 3, 1, 2, 2, 0, 3, 2, 1, 1, 3, 4, 4, 2, 1, 2, 1, 3, 2, 3, 4, 1, 0, 0, 2, 2, 1, 4, 2, 0, 2, 0, 0, 3, 2, 3, 3, 0, 0, 0, 1, 1, 4, 3, 2, 1, 0, 2, 1, 2, 1, 3, 1, 3, 0, 1, 1, 3, 1, 3, 4, 4, 1, 2, 0, 4, 4, 3, 0, 0, 3, 0, 3, 0, 3, 4, 0, 0, 1, 3, 0, 1, 2, 1, 0, 0, 0, 0, 0, 4, 2, 0, 1, 0, 3, 2, 2, 3, 4, 1, 1, 3, 4, 1, 4, 0, 0, 0, 4, 0, 1, 0, 4, 4, 2, 2, 4, 4, 2, 0, 0, 1, 2, 3, 4, 2, 4, 0, 1, 2, 0, 3, 4, 1, 2, 1, 0, 4, 3, 1, 3, 4, 1, 0, 3, 1, 3, 4, 2, 4, 1, 3, 0, 0, 0, 2, 0, 3, 1, 2, 4, 2, 2, 1, 3, 4, 0, 4, 2, 1, 1, 2, 3, 2, 2, 1, 1, 0, 4, 3, 1, 2, 3, 4, 4, 1, 4, 4, 4, 0, 1, 3, 4, 1, 1, 3, 0, 3, 4, 3, 2, 2, 4, 3, 4, 0, 0, 1, 0, 2, 1, 2, 3, 4, 4, 0, 2, 3, 4, 1, 1, 4, 4, 3, 3, 4, 1, 0, 1, 0, 2, 1, 2, 0, 2, 3, 1, 4, 2, 1, 3, 0, 0, 3, 3, 0, 3, 3, 4, 0, 4, 0, 0, 0, 0, 3, 1, 4, 3, 2, 0, 3, 2, 0, 4, 4, 0, 2, 0]
pubkeycol620 = [2, 3, 3, 3, 3, 2, 3, 3, 0, 0, 4, 1, 3, 0, 4, 0, 1, 4, 3, 3, 2, 0, 3, 1, 0, 2, 3, 4, 2, 4, 0, 0, 4, 1, 2, 0, 1, 1, 2, 3, 0, 3, 3, 4, 1, 4, 0, 3, 4, 0, 4, 2, 3, 0, 4, 2, 3, 2, 1, 1, 0, 1, 0, 1, 3, 1, 0, 3, 1, 0, 3, 1, 3, 0, 0, 2, 1, 3, 2, 2, 2, 0, 4, 4, 0, 3, 4, 3, 1, 4, 2, 0, 4, 2, 4, 2, 1, 3, 4, 2, 4, 2, 4, 0, 0, 0, 3, 1, 1, 0, 2, 4, 4, 1, 4, 2, 2, 2, 0, 2, 2, 1, 4, 1, 1, 0, 4, 2, 4, 4, 1, 1, 4, 2, 1, 4, 3, 0, 3, 1, 0, 3, 0, 3, 3, 4, 4, 2, 0, 0, 1, 2, 2, 2, 0, 1, 4, 2, 0, 2, 3, 2, 2, 2, 2, 4, 3, 3, 3, 4, 3, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 4, 1, 1, 0, 1, 2, 4, 1, 3, 1, 3, 2, 2, 2, 4, 2, 0, 2, 0, 3, 3, 4, 2, 0, 4, 4, 0, 3, 4, 4, 3, 2, 2, 0, 3, 0, 2, 2, 4, 4, 4, 4, 4, 0, 2, 3, 3, 0, 3, 4, 1, 0, 2, 2, 3, 1, 1, 4, 4, 1, 2, 1, 2, 0, 0, 4, 4, 1, 2, 1, 1, 1, 0, 2, 3, 4, 2, 0, 4, 3, 4, 3, 0, 1, 0, 3, 2, 3, 1, 4, 3, 2, 2, 4, 3, 3, 4, 0, 4, 1, 4, 4, 4, 0, 2, 0, 3, 4, 0, 4, 3, 1, 1, 1, 0, 0, 2, 1, 4, 2, 0, 2, 0, 2, 4, 0, 2, 2, 0, 2, 1, 4, 1, 4, 2, 4, 1, 2, 1, 4, 1, 2, 2, 2, 0, 0, 4, 1, 2, 1, 0, 1, 3, 4, 3, 3, 2, 2, 3, 0, 1, 0, 0, 1, 0, 2, 3, 4, 2, 1, 4, 1, 2, 0, 1, 0, 3, 4, 0, 3, 1, 0, 4, 1, 3, 2, 4, 3, 1, 3, 1, 0, 2, 3, 3, 0, 0, 1, 3, 2, 0, 2, 3, 2, 4, 0, 3, 0, 3, 0, 3, 3, 1, 2, 3]
pubkeycol621 = [4, 1, 4, 4, 1, 4, 0, 3, 1, 3, 4, 3, 1, 1, 3, 4, 4, 1, 2, 0, 3, 0, 4, 1, 0, 4, 3, 4, 4, 4, 1, 1, 2, 0, 4, 1, 1, 0, 4, 0, 1, 4, 1, 2, 4, 3, 0, 4, 3, 2, 2, 4, 0, 4, 1, 3, 3, 4, 3, 3, 2, 0, 0, 4, 4, 1, 1, 0, 0, 4, 3, 4, 1, 4, 2, 3, 3, 3, 0, 0, 3, 0, 2, 0, 2, 0, 2, 0, 2, 3, 2, 1, 1, 0, 3, 1, 1, 4, 3, 2, 4, 3, 2, 1, 0, 4, 2, 4, 0, 2, 4, 4, 4, 2, 3, 4, 1, 4, 1, 1, 3, 0, 1, 0, 0, 3, 3, 2, 2, 1, 4, 4, 4, 3, 4, 0, 4, 1, 4, 0, 2, 0, 0, 4, 1, 1, 1, 2, 2, 3, 2, 3, 1, 0, 3, 3, 4, 0, 4, 1, 4, 0, 3, 4, 0, 3, 0, 0, 3, 1, 3, 0, 0, 0, 1, 0, 4, 4, 4, 4, 3, 1, 2, 4, 0, 2, 0, 2, 0, 0, 4, 1, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 4, 2, 0, 4, 2, 3, 3, 1, 0, 2, 2, 1, 2, 4, 3, 4, 0, 0, 2, 2, 4, 1, 3, 2, 3, 2, 3, 3, 3, 0, 4, 0, 2, 1, 0, 2, 4, 0, 2, 1, 2, 2, 3, 1, 0, 3, 1, 1, 1, 2, 4, 0, 2, 0, 1, 4, 1, 3, 3, 1, 4, 0, 4, 1, 1, 2, 3, 4, 4, 2, 0, 4, 4, 1, 3, 0, 2, 1, 2, 3, 1, 3, 0, 3, 4, 0, 0, 3, 0, 4, 4, 3, 2, 1, 4, 4, 0, 3, 0, 1, 0, 2, 4, 1, 3, 3, 4, 2, 1, 1, 3, 4, 4, 4, 0, 0, 4, 2, 2, 1, 3, 4, 1, 4, 1, 3, 3, 4, 1, 1, 0, 2, 0, 0, 2, 0, 0, 4, 2, 3, 1, 2, 3, 1, 1, 2, 2, 3, 4, 2, 2, 4, 3, 2, 1, 1, 2, 4, 2, 3, 2, 2, 3, 3, 0, 1, 4, 0, 0, 0, 4, 4, 0, 4, 1, 1, 0, 1, 1, 0, 0, 2, 4, 4, 1, 1, 4, 1, 4, 2, 3, 1, 0, 1, 0, 1, 3]
pubkeycol622 = [4, 4, 3, 2, 4, 3, 3, 1, 0, 4, 4, 2, 4, 4, 1, 1, 4, 4, 0, 4, 4, 4, 1, 4, 4, 1, 1, 4, 1, 1, 2, 3, 4, 3, 4, 4, 0, 2, 2, 4, 2, 4, 2, 3, 0, 1, 4, 2, 3, 1, 1, 1, 0, 1, 0, 3, 1, 0, 1, 2, 4, 4, 1, 1, 3, 4, 4, 0, 3, 3, 2, 0, 4, 0, 1, 3, 1, 0, 2, 3, 3, 4, 0, 1, 2, 3, 1, 4, 4, 3, 0, 3, 2, 2, 4, 1, 1, 1, 1, 4, 3, 1, 1, 2, 0, 4, 4, 4, 0, 2, 3, 0, 1, 2, 4, 3, 4, 2, 2, 4, 4, 1, 0, 3, 0, 1, 4, 1, 0, 1, 1, 1, 1, 2, 3, 1, 2, 3, 3, 1, 4, 2, 1, 0, 3, 3, 3, 4, 2, 4, 4, 0, 2, 4, 4, 3, 3, 1, 0, 1, 3, 1, 1, 3, 2, 4, 3, 3, 3, 0, 2, 4, 2, 4, 2, 3, 1, 0, 0, 1, 4, 0, 3, 3, 0, 4, 3, 0, 2, 0, 0, 4, 1, 4, 3, 1, 4, 1, 3, 1, 2, 3, 1, 2, 3, 4, 1, 0, 0, 3, 0, 0, 4, 4, 2, 0, 3, 0, 3, 2, 3, 2, 4, 0, 1, 4, 4, 4, 3, 4, 0, 2, 3, 1, 4, 1, 4, 0, 4, 1, 3, 3, 2, 1, 0, 1, 0, 3, 0, 0, 0, 4, 3, 3, 2, 3, 1, 3, 1, 1, 2, 1, 1, 1, 4, 0, 3, 1, 0, 0, 1, 0, 1, 3, 1, 3, 0, 3, 0, 4, 2, 4, 2, 1, 3, 3, 2, 1, 3, 2, 3, 3, 3, 0, 2, 1, 1, 3, 2, 1, 3, 2, 1, 4, 0, 0, 1, 0, 2, 1, 3, 3, 1, 2, 4, 1, 2, 2, 3, 0, 0, 2, 4, 3, 3, 2, 2, 3, 4, 0, 4, 3, 4, 1, 1, 0, 3, 2, 2, 2, 3, 4, 4, 4, 0, 1, 4, 3, 0, 1, 3, 3, 1, 4, 2, 1, 0, 4, 2, 0, 0, 4, 4, 2, 2, 3, 1, 0, 0, 2, 3, 4, 0, 3, 3, 1, 0, 1, 0, 4, 4, 3, 2, 2, 0, 3, 4, 2, 1, 4, 2, 3, 0, 3, 0, 4, 0, 2, 2, 2]
pubkeycol623 = [0, 3, 3, 1, 3, 4, 3, 4, 3, 0, 1, 2, 0, 1, 4, 2, 0, 4, 4, 3, 4, 1, 0, 1, 0, 4, 3, 2, 1, 0, 1, 0, 0, 3, 1, 1, 2, 0, 2, 3, 1, 3, 1, 0, 1, 2, 1, 3, 1, 3, 0, 3, 3, 4, 3, 2, 2, 1, 4, 2, 0, 0, 4, 0, 2, 4, 4, 3, 4, 4, 3, 1, 4, 2, 1, 0, 0, 4, 0, 0, 0, 4, 2, 1, 3, 2, 3, 4, 3, 1, 1, 3, 2, 4, 3, 2, 1, 3, 3, 4, 3, 1, 0, 0, 0, 2, 0, 1, 0, 3, 1, 2, 2, 3, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 4, 1, 2, 3, 4, 0, 1, 0, 0, 3, 3, 3, 4, 2, 3, 1, 3, 1, 2, 3, 3, 1, 0, 0, 0, 2, 3, 4, 3, 2, 4, 1, 1, 4, 1, 2, 3, 2, 2, 1, 1, 1, 3, 2, 0, 2, 0, 1, 3, 1, 4, 0, 2, 4, 0, 3, 3, 0, 1, 2, 2, 2, 2, 1, 3, 3, 1, 4, 4, 3, 0, 3, 1, 2, 3, 2, 1, 2, 1, 3, 2, 0, 4, 3, 0, 1, 3, 3, 3, 2, 3, 1, 1, 1, 4, 1, 1, 3, 4, 1, 1, 4, 1, 4, 3, 1, 2, 4, 4, 3, 0, 2, 0, 3, 3, 0, 4, 2, 2, 2, 1, 2, 1, 1, 2, 4, 1, 1, 1, 1, 0, 3, 0, 1, 4, 4, 4, 3, 1, 0, 1, 3, 1, 4, 4, 3, 2, 2, 0, 2, 3, 4, 1, 2, 3, 3, 2, 0, 3, 0, 1, 4, 1, 3, 2, 0, 2, 2, 2, 0, 0, 2, 4, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 4, 3, 3, 4, 4, 1, 1, 4, 0, 3, 0, 2, 4, 1, 4, 2, 1, 3, 0, 2, 0, 0, 3, 2, 1, 2, 3, 3, 1, 4, 1, 4, 1, 2, 0, 1, 0, 2, 2, 1, 3, 2, 3, 1, 4, 2, 2, 0, 1, 0, 3, 0, 4, 3, 4, 3, 4, 4, 1, 4, 3, 1, 3, 0, 4, 3, 1, 0, 1, 4, 2, 1, 3, 2, 0, 2, 1, 1, 2, 1, 1, 4, 0, 4, 1, 3, 3, 4, 0, 2, 3, 2, 4]
pubkeycol624 = [2, 3, 0, 0, 4, 1, 3, 4, 1, 0, 3, 4, 0, 2, 1, 1, 4, 3, 1, 2, 0, 2, 2, 3, 0, 2, 4, 2, 1, 4, 3, 3, 0, 2, 3, 3, 1, 2, 2, 3, 0, 4, 1, 4, 3, 4, 0, 1, 0, 4, 3, 2, 0, 0, 3, 1, 2, 1, 3, 0, 0, 4, 2, 4, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 0, 4, 1, 2, 1, 0, 2, 3, 4, 1, 1, 4, 0, 3, 2, 2, 0, 0, 3, 1, 0, 2, 4, 4, 0, 3, 3, 1, 0, 4, 0, 3, 3, 1, 3, 2, 3, 2, 1, 3, 1, 1, 2, 1, 2, 2, 3, 4, 4, 4, 2, 2, 4, 0, 3, 4, 4, 1, 1, 0, 0, 1, 0, 2, 4, 1, 3, 2, 0, 0, 0, 0, 4, 0, 0, 2, 3, 0, 4, 1, 4, 4, 2, 1, 0, 2, 3, 1, 3, 1, 3, 0, 0, 3, 4, 0, 2, 3, 3, 0, 4, 1, 4, 0, 1, 0, 4, 4, 3, 3, 4, 3, 4, 3, 3, 1, 3, 3, 1, 4, 3, 2, 3, 0, 0, 2, 0, 1, 0, 0, 3, 1, 1, 4, 4, 1, 4, 2, 0, 1, 0, 4, 3, 3, 1, 1, 1, 1, 3, 0, 1, 3, 0, 3, 0, 3, 0, 4, 2, 4, 0, 2, 0, 3, 3, 4, 3, 0, 1, 1, 0, 3, 4, 4, 1, 1, 4, 3, 3, 2, 3, 4, 4, 4, 2, 2, 0, 4, 4, 4, 0, 2, 1, 1, 1, 3, 4, 4, 1, 0, 1, 2, 4, 2, 1, 1, 4, 0, 2, 1, 2, 4, 1, 0, 1, 3, 0, 3, 4, 4, 1, 2, 0, 0, 3, 4, 2, 0, 2, 0, 0, 2, 1, 1, 1, 3, 4, 3, 0, 1, 0, 0, 2, 3, 0, 0, 2, 1, 3, 3, 3, 1, 2, 0, 1, 3, 4, 2, 3, 4, 0, 1, 1, 3, 1, 1, 3, 2, 1, 0, 2, 3, 1, 2, 3, 1, 3, 4, 4, 2, 1, 1, 4, 0, 3, 1, 3, 0, 2, 3, 4, 1, 3, 4, 4, 1, 2, 2, 1, 4, 2, 3, 0, 1, 3, 3, 0, 3, 1, 4, 0, 3, 3, 1, 4, 3, 2, 3, 3, 2, 3, 3, 1]
pubkeycol625 = [1, 2, 3, 4, 0, 2, 4, 2, 1, 0, 3, 2, 0, 1, 1, 0, 3, 2, 4, 0, 0, 0, 2, 1, 0, 0, 3, 0, 0, 2, 2, 0, 3, 1, 2, 4, 4, 1, 2, 4, 3, 0, 1, 1, 3, 4, 2, 2, 3, 2, 2, 2, 0, 0, 2, 4, 1, 1, 2, 1, 1, 4, 2, 4, 3, 3, 0, 2, 1, 0, 3, 1, 4, 3, 1, 2, 2, 1, 1, 0, 1, 3, 0, 0, 1, 0, 0, 3, 0, 0, 0, 4, 1, 1, 1, 3, 2, 3, 2, 1, 4, 2, 0, 1, 0, 2, 4, 2, 3, 4, 1, 1, 2, 3, 2, 0, 1, 4, 0, 3, 4, 4, 3, 3, 3, 2, 0, 2, 3, 2, 4, 2, 1, 2, 4, 3, 2, 4, 4, 1, 0, 0, 3, 3, 3, 3, 3, 3, 2, 4, 4, 1, 2, 3, 2, 1, 1, 0, 3, 3, 3, 3, 2, 0, 2, 3, 2, 3, 1, 4, 3, 4, 0, 3, 4, 1, 3, 3, 1, 1, 3, 4, 1, 1, 3, 2, 2, 2, 2, 4, 4, 4, 0, 0, 1, 2, 2, 2, 3, 2, 0, 1, 3, 0, 2, 0, 0, 4, 2, 2, 3, 3, 2, 2, 0, 3, 2, 2, 2, 1, 2, 1, 3, 4, 4, 3, 4, 4, 0, 3, 0, 3, 3, 1, 4, 0, 3, 1, 3, 4, 3, 0, 4, 2, 3, 4, 0, 4, 3, 1, 0, 4, 4, 4, 1, 0, 2, 3, 3, 1, 0, 4, 2, 2, 1, 3, 1, 0, 2, 1, 1, 4, 1, 4, 2, 0, 1, 3, 3, 2, 3, 1, 1, 3, 2, 0, 4, 3, 0, 0, 2, 4, 1, 4, 3, 3, 0, 4, 3, 0, 3, 4, 4, 1, 3, 3, 3, 0, 1, 0, 3, 4, 4, 0, 1, 3, 0, 0, 4, 4, 2, 3, 1, 1, 2, 2, 4, 1, 1, 1, 3, 4, 2, 0, 1, 3, 2, 1, 2, 1, 2, 1, 1, 3, 4, 3, 4, 4, 1, 1, 0, 0, 4, 0, 2, 0, 2, 0, 2, 1, 2, 3, 1, 1, 4, 1, 1, 1, 2, 0, 0, 3, 1, 4, 0, 1, 4, 3, 0, 3, 0, 2, 2, 4, 0, 2, 0, 0, 3, 2, 2, 4, 4, 2, 3, 1, 1, 2, 1, 1]
pubkeycol626 = [4, 2, 0, 3, 2, 3, 2, 2, 1, 2, 2, 1, 4, 3, 1, 0, 4, 0, 2, 0, 2, 1, 3, 1, 0, 1, 3, 3, 0, 3, 0, 0, 0, 4, 1, 0, 2, 0, 0, 2, 2, 1, 0, 4, 4, 1, 1, 0, 1, 4, 3, 3, 4, 3, 3, 2, 1, 0, 1, 2, 1, 3, 0, 4, 1, 4, 4, 2, 3, 1, 3, 0, 0, 3, 1, 2, 3, 1, 0, 2, 3, 3, 3, 1, 0, 2, 3, 4, 1, 0, 1, 2, 4, 4, 4, 4, 2, 1, 0, 4, 0, 2, 1, 3, 2, 1, 2, 4, 1, 1, 3, 2, 4, 3, 0, 3, 1, 2, 0, 1, 0, 0, 4, 2, 2, 3, 4, 4, 1, 3, 4, 1, 4, 4, 0, 0, 2, 3, 3, 2, 4, 0, 3, 0, 3, 4, 0, 4, 3, 1, 2, 1, 0, 0, 0, 1, 0, 4, 1, 3, 2, 3, 0, 0, 2, 1, 4, 3, 3, 1, 0, 2, 4, 1, 0, 4, 2, 0, 1, 4, 1, 2, 3, 2, 3, 4, 3, 2, 3, 0, 2, 3, 4, 3, 3, 4, 1, 3, 3, 4, 3, 1, 4, 2, 0, 4, 1, 4, 1, 3, 0, 1, 2, 3, 3, 2, 0, 3, 4, 1, 3, 3, 3, 3, 4, 4, 3, 1, 2, 1, 3, 2, 2, 0, 3, 4, 3, 3, 0, 2, 1, 0, 4, 2, 4, 3, 2, 0, 2, 1, 3, 3, 3, 4, 2, 1, 2, 2, 1, 2, 4, 0, 3, 0, 1, 0, 1, 1, 1, 4, 0, 2, 0, 2, 4, 3, 1, 3, 1, 2, 1, 0, 0, 1, 1, 4, 1, 2, 0, 2, 2, 2, 0, 3, 2, 0, 3, 3, 3, 1, 3, 1, 2, 0, 2, 2, 1, 3, 0, 1, 1, 0, 0, 4, 3, 4, 0, 2, 0, 1, 1, 0, 3, 1, 1, 3, 1, 0, 0, 3, 3, 0, 1, 3, 0, 0, 4, 2, 0, 3, 3, 2, 2, 2, 1, 1, 3, 2, 4, 0, 4, 3, 0, 0, 0, 2, 3, 3, 3, 4, 3, 1, 0, 2, 2, 3, 4, 4, 2, 1, 4, 0, 4, 1, 2, 3, 2, 3, 4, 4, 2, 0, 3, 3, 4, 2, 4, 2, 0, 3, 0, 2, 1, 2, 3, 0, 1, 2, 4, 0]
pubkeycol627 = [4, 3, 0, 3, 4, 3, 3, 2, 4, 0, 2, 2, 1, 4, 1, 4, 0, 1, 1, 0, 0, 3, 3, 3, 3, 0, 3, 3, 2, 0, 2, 1, 0, 4, 1, 4, 4, 3, 1, 4, 1, 4, 4, 0, 0, 0, 3, 4, 0, 0, 4, 3, 2, 4, 2, 2, 1, 0, 1, 4, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 4, 0, 2, 4, 1, 0, 2, 0, 4, 1, 2, 3, 0, 3, 1, 3, 0, 2, 4, 1, 0, 1, 1, 4, 3, 1, 2, 3, 2, 0, 2, 1, 4, 3, 1, 3, 2, 2, 4, 2, 3, 0, 0, 2, 3, 1, 0, 2, 1, 1, 3, 4, 2, 2, 2, 4, 1, 2, 0, 2, 3, 4, 2, 2, 0, 2, 4, 0, 4, 0, 0, 4, 0, 2, 4, 3, 2, 3, 1, 1, 4, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 4, 0, 0, 2, 2, 1, 3, 2, 4, 2, 4, 1, 3, 0, 0, 1, 1, 0, 1, 1, 2, 3, 3, 2, 4, 0, 0, 0, 4, 3, 0, 0, 2, 0, 1, 4, 1, 0, 0, 2, 4, 3, 4, 3, 4, 0, 2, 2, 0, 4, 2, 4, 0, 3, 4, 2, 3, 1, 0, 0, 4, 1, 3, 0, 0, 0, 1, 0, 0, 2, 4, 3, 0, 1, 0, 0, 0, 4, 1, 1, 1, 0, 3, 2, 1, 1, 4, 0, 4, 3, 0, 4, 4, 4, 1, 2, 4, 1, 3, 3, 0, 1, 1, 1, 4, 2, 4, 4, 2, 3, 4, 1, 0, 0, 2, 2, 4, 4, 3, 3, 3, 4, 3, 0, 4, 0, 1, 0, 4, 4, 1, 4, 2, 4, 2, 0, 2, 3, 3, 3, 4, 4, 4, 4, 2, 1, 3, 1, 4, 0, 4, 4, 3, 3, 2, 2, 1, 0, 0, 0, 4, 0, 4, 1, 4, 0, 2, 2, 0, 4, 0, 4, 0, 2, 1, 3, 3, 4, 3, 4, 2, 1, 1, 2, 3, 2, 0, 3, 4, 4, 1, 2, 2, 4, 2, 1, 0, 0, 3, 3, 1, 3, 3, 0, 4, 0, 3, 3, 2, 2, 1, 2, 0, 3, 3, 3, 3, 1, 1, 1, 4, 1, 3, 0, 4, 1, 1, 0, 2, 2, 4, 3, 2, 0, 0, 3]
pubkeycol628 = [1, 3, 2, 0, 0, 4, 3, 3, 4, 1, 1, 1, 4, 2, 4, 1, 0, 1, 4, 2, 4, 3, 4, 2, 2, 0, 4, 0, 0, 1, 2, 1, 4, 2, 2, 3, 4, 0, 1, 0, 1, 4, 2, 1, 3, 4, 0, 3, 2, 1, 0, 2, 2, 4, 3, 4, 0, 0, 3, 3, 3, 3, 2, 1, 4, 3, 4, 3, 0, 3, 1, 4, 2, 2, 2, 4, 2, 4, 0, 2, 4, 4, 3, 0, 3, 4, 4, 3, 1, 4, 3, 2, 4, 2, 4, 0, 4, 0, 2, 2, 1, 4, 4, 1, 1, 2, 3, 0, 0, 2, 1, 0, 0, 1, 3, 4, 0, 3, 3, 1, 4, 4, 4, 3, 0, 0, 0, 2, 1, 4, 0, 4, 3, 0, 3, 0, 4, 0, 4, 2, 1, 1, 3, 3, 0, 2, 4, 1, 3, 3, 3, 3, 3, 0, 0, 3, 2, 2, 2, 4, 0, 1, 3, 0, 1, 2, 4, 4, 0, 4, 4, 1, 2, 2, 1, 4, 2, 1, 0, 0, 1, 0, 4, 2, 4, 4, 2, 3, 4, 2, 3, 2, 4, 4, 4, 3, 0, 4, 3, 1, 1, 3, 2, 4, 4, 4, 1, 1, 3, 1, 3, 0, 3, 0, 0, 0, 4, 0, 3, 0, 4, 1, 1, 2, 0, 0, 0, 3, 0, 2, 2, 0, 0, 3, 2, 4, 3, 1, 2, 2, 3, 4, 0, 3, 1, 3, 4, 0, 4, 1, 1, 4, 2, 1, 3, 2, 4, 4, 0, 4, 3, 0, 2, 1, 4, 4, 2, 0, 1, 2, 3, 2, 4, 4, 2, 3, 4, 0, 2, 4, 3, 0, 4, 3, 0, 1, 0, 3, 3, 3, 4, 0, 4, 4, 4, 2, 4, 3, 3, 1, 4, 2, 1, 4, 1, 3, 1, 4, 1, 1, 3, 4, 4, 3, 1, 2, 1, 4, 1, 0, 3, 1, 1, 3, 4, 0, 4, 1, 3, 3, 3, 2, 3, 2, 1, 4, 3, 0, 0, 1, 0, 2, 1, 3, 4, 4, 4, 3, 4, 1, 0, 1, 4, 0, 1, 4, 3, 4, 0, 0, 4, 0, 0, 0, 2, 0, 0, 1, 2, 3, 1, 1, 4, 4, 4, 2, 3, 4, 0, 0, 4, 1, 3, 4, 1, 0, 2, 1, 0, 2, 1, 4, 1, 0, 2, 4, 4, 0, 3, 1]
pubkeycol629 = [4, 0, 1, 3, 4, 0, 1, 0, 0, 2, 1, 4, 1, 2, 3, 0, 3, 0, 1, 4, 3, 4, 1, 2, 2, 0, 3, 3, 2, 1, 0, 3, 3, 1, 0, 2, 4, 4, 3, 4, 1, 1, 0, 0, 2, 3, 0, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 2, 3, 0, 4, 1, 0, 3, 1, 3, 2, 1, 4, 3, 0, 2, 4, 3, 0, 3, 1, 4, 2, 2, 4, 3, 3, 4, 3, 3, 3, 1, 1, 4, 1, 0, 1, 2, 2, 2, 0, 3, 0, 2, 3, 1, 2, 2, 3, 0, 4, 2, 3, 0, 3, 1, 2, 0, 1, 2, 3, 1, 1, 1, 1, 1, 3, 3, 0, 1, 2, 0, 0, 1, 4, 4, 2, 4, 3, 0, 1, 3, 2, 1, 1, 2, 3, 2, 0, 2, 0, 2, 3, 3, 0, 2, 1, 3, 0, 4, 4, 1, 4, 4, 3, 1, 0, 3, 0, 1, 2, 4, 4, 1, 0, 4, 3, 4, 0, 4, 0, 1, 4, 4, 3, 1, 1, 1, 4, 2, 3, 0, 3, 0, 2, 4, 1, 3, 1, 3, 4, 4, 4, 1, 4, 3, 3, 3, 2, 3, 3, 4, 2, 0, 0, 0, 1, 3, 0, 2, 0, 4, 1, 3, 2, 1, 0, 1, 1, 1, 0, 2, 1, 3, 1, 4, 0, 2, 0, 4, 1, 2, 4, 4, 0, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 2, 2, 1, 0, 1, 2, 4, 4, 1, 3, 0, 0, 2, 1, 4, 3, 2, 0, 3, 3, 2, 4, 4, 1, 4, 3, 4, 2, 4, 3, 0, 4, 2, 3, 1, 3, 4, 1, 2, 4, 4, 1, 0, 4, 1, 1, 1, 4, 0, 4, 1, 3, 0, 0, 2, 4, 0, 4, 4, 3, 2, 0, 3, 0, 3, 0, 3, 0, 4, 3, 1, 2, 1, 1, 4, 1, 3, 1, 0, 2, 1, 4, 3, 3, 4, 3, 4, 0, 1, 1, 2, 0, 1, 4, 3, 4, 1, 2, 2, 4, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 3, 4, 2, 4, 3, 3, 2, 3, 2, 3, 4, 3, 1, 3, 2, 1, 4, 0, 1, 0, 2, 2, 1, 4, 4, 1, 3, 0, 3, 2, 3, 1, 3, 2, 0, 2, 4, 2]
pubkeycol630 = [3, 3, 1, 3, 4, 3, 3, 3, 3, 4, 2, 0, 0, 1, 2, 0, 1, 2, 3, 4, 2, 1, 2, 0, 1, 3, 2, 2, 1, 4, 4, 0, 2, 4, 3, 0, 0, 1, 4, 1, 1, 1, 3, 0, 2, 4, 4, 1, 3, 2, 0, 3, 3, 0, 1, 0, 1, 1, 0, 3, 4, 1, 2, 0, 1, 2, 1, 4, 2, 0, 3, 0, 3, 3, 3, 1, 3, 3, 4, 3, 4, 1, 2, 4, 2, 4, 1, 4, 4, 0, 0, 0, 4, 4, 4, 2, 1, 2, 4, 1, 3, 1, 3, 4, 0, 2, 2, 1, 4, 1, 3, 2, 1, 0, 1, 1, 2, 4, 2, 4, 4, 1, 0, 4, 4, 4, 0, 2, 2, 4, 1, 0, 1, 3, 1, 4, 0, 2, 4, 1, 0, 3, 4, 2, 4, 0, 0, 2, 0, 1, 3, 4, 0, 1, 0, 4, 0, 4, 4, 4, 0, 0, 2, 2, 1, 3, 0, 1, 2, 2, 4, 3, 1, 0, 3, 2, 1, 0, 2, 1, 2, 1, 4, 3, 4, 1, 1, 4, 0, 1, 2, 1, 2, 1, 0, 0, 0, 4, 2, 3, 2, 1, 2, 3, 2, 1, 0, 2, 0, 1, 1, 1, 4, 3, 0, 4, 2, 3, 0, 3, 2, 3, 4, 2, 2, 1, 4, 1, 3, 4, 3, 1, 0, 2, 1, 0, 1, 4, 2, 0, 2, 0, 1, 0, 4, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 3, 2, 0, 1, 1, 3, 4, 0, 0, 3, 4, 4, 0, 0, 4, 3, 3, 3, 2, 4, 4, 4, 4, 1, 4, 2, 0, 1, 3, 1, 4, 2, 2, 4, 3, 2, 3, 1, 2, 3, 4, 2, 3, 2, 0, 3, 3, 2, 1, 0, 0, 0, 2, 3, 0, 1, 0, 1, 2, 4, 3, 4, 3, 1, 1, 4, 2, 0, 1, 3, 2, 1, 1, 4, 4, 2, 2, 1, 0, 2, 4, 4, 0, 4, 0, 1, 2, 0, 1, 2, 3, 2, 4, 4, 2, 1, 3, 1, 0, 3, 1, 0, 2, 1, 1, 4, 4, 3, 4, 2, 2, 4, 0, 0, 1, 0, 1, 0, 4, 1, 0, 4, 4, 2, 3, 2, 0, 4, 1, 4, 2, 0, 3, 0, 4, 3, 3, 2, 2]
pubkeycol631 = [4, 3, 1, 0, 4, 1, 4, 0, 3, 4, 4, 1, 0, 0, 1, 4, 2, 0, 3, 4, 1, 1, 2, 2, 4, 4, 1, 4, 3, 4, 2, 2, 4, 3, 3, 4, 2, 3, 4, 0, 2, 1, 0, 4, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 1, 2, 4, 2, 0, 1, 0, 2, 1, 4, 0, 2, 2, 0, 3, 2, 2, 1, 0, 1, 1, 0, 0, 3, 2, 2, 4, 0, 1, 0, 4, 3, 4, 0, 4, 4, 3, 3, 2, 2, 1, 0, 2, 2, 3, 2, 2, 2, 4, 3, 1, 2, 4, 4, 3, 2, 2, 1, 4, 1, 1, 4, 4, 3, 2, 0, 3, 3, 2, 2, 1, 3, 4, 2, 2, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 0, 3, 0, 1, 0, 3, 0, 4, 3, 1, 0, 0, 0, 2, 3, 4, 1, 2, 0, 1, 0, 0, 2, 3, 3, 4, 0, 0, 0, 1, 2, 2, 1, 1, 2, 4, 0, 2, 2, 0, 2, 4, 0, 4, 2, 3, 0, 0, 1, 3, 2, 2, 0, 2, 0, 2, 2, 4, 0, 3, 0, 2, 4, 1, 2, 0, 2, 2, 3, 3, 0, 4, 0, 1, 3, 0, 4, 1, 4, 1, 3, 2, 3, 4, 0, 1, 2, 4, 0, 1, 3, 0, 1, 3, 0, 4, 3, 4, 3, 3, 3, 1, 0, 2, 3, 3, 1, 0, 3, 3, 2, 1, 1, 1, 1, 0, 2, 1, 0, 3, 2, 1, 0, 0, 2, 0, 4, 2, 0, 2, 3, 0, 1, 3, 4, 3, 4, 1, 4, 1, 0, 3, 3, 1, 2, 0, 2, 1, 3, 3, 1, 1, 1, 1, 0, 0, 0, 4, 1, 2, 2, 4, 2, 0, 1, 2, 1, 4, 3, 3, 3, 4, 1, 0, 1, 0, 3, 4, 3, 0, 4, 0, 1, 2, 3, 3, 1, 1, 1, 4, 3, 3, 0, 3, 0, 0, 2, 4, 2, 1, 1, 3, 3, 3, 4, 3, 0, 0, 1, 0, 0, 3, 4, 1, 1, 4, 2, 2, 2, 1, 4, 0, 1, 0, 3, 2, 3, 4, 0, 1, 4, 0, 3, 1, 3, 2, 2, 1, 2, 1, 4, 3, 0, 4, 0, 1, 4, 2, 2, 0, 2, 4, 4, 0, 0, 1, 2, 4]
pubkeycol632 = [2, 0, 4, 3, 0, 1, 2, 4, 2, 3, 0, 3, 0, 2, 3, 4, 4, 1, 3, 3, 3, 1, 0, 2, 1, 0, 2, 4, 2, 2, 0, 0, 3, 2, 0, 2, 4, 1, 2, 1, 3, 1, 3, 1, 1, 4, 1, 4, 1, 3, 3, 3, 0, 1, 3, 4, 1, 3, 3, 2, 1, 2, 1, 1, 0, 0, 4, 4, 2, 1, 3, 2, 1, 3, 3, 2, 1, 1, 0, 4, 2, 1, 2, 4, 0, 1, 1, 3, 4, 1, 2, 0, 2, 0, 3, 4, 1, 2, 2, 0, 2, 0, 2, 3, 0, 1, 3, 3, 2, 1, 2, 0, 3, 4, 0, 3, 1, 2, 4, 1, 2, 0, 0, 3, 3, 4, 1, 4, 2, 3, 0, 3, 4, 0, 4, 3, 4, 2, 1, 1, 0, 4, 3, 4, 2, 0, 1, 1, 3, 4, 0, 4, 0, 2, 1, 2, 1, 1, 0, 3, 4, 4, 4, 0, 1, 4, 0, 0, 2, 4, 2, 4, 2, 4, 2, 3, 3, 2, 0, 3, 3, 2, 2, 0, 2, 3, 4, 1, 3, 0, 4, 4, 4, 1, 2, 1, 0, 1, 1, 1, 0, 1, 3, 4, 3, 2, 3, 2, 2, 2, 1, 4, 2, 1, 3, 4, 3, 2, 0, 3, 2, 0, 4, 1, 2, 0, 0, 3, 0, 0, 4, 4, 1, 2, 2, 2, 0, 0, 3, 2, 2, 4, 1, 3, 2, 0, 2, 2, 2, 3, 1, 2, 0, 4, 0, 3, 2, 0, 4, 4, 1, 3, 0, 4, 1, 1, 4, 1, 0, 3, 1, 2, 4, 3, 0, 3, 3, 1, 2, 4, 1, 3, 0, 2, 2, 4, 0, 4, 0, 0, 4, 4, 0, 2, 1, 4, 2, 1, 1, 2, 2, 3, 1, 4, 1, 1, 0, 4, 4, 0, 3, 1, 2, 1, 1, 4, 3, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 4, 4, 0, 0, 1, 4, 2, 0, 3, 0, 3, 0, 1, 3, 0, 4, 4, 0, 2, 3, 3, 3, 0, 1, 3, 2, 4, 4, 4, 2, 2, 2, 4, 2, 1, 1, 3, 4, 2, 4, 2, 3, 1, 4, 2, 3, 0, 1, 4, 3, 1, 2, 0, 0, 1, 4, 2, 2, 4, 1, 1, 3, 4, 4, 1, 1, 0, 2, 2, 0, 2, 0, 0]
pubkeycol633 = [1, 4, 0, 0, 4, 3, 0, 0, 2, 0, 4, 4, 3, 3, 1, 0, 4, 0, 0, 0, 0, 4, 0, 3, 3, 1, 1, 2, 4, 2, 2, 4, 2, 0, 0, 2, 0, 2, 1, 2, 3, 0, 0, 0, 1, 3, 4, 4, 0, 3, 0, 0, 1, 4, 2, 1, 1, 0, 2, 4, 2, 3, 1, 4, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 4, 1, 2, 3, 3, 1, 0, 2, 0, 2, 1, 1, 3, 0, 3, 4, 3, 3, 2, 1, 4, 1, 0, 1, 3, 1, 2, 1, 4, 2, 3, 0, 3, 1, 2, 1, 4, 1, 3, 0, 0, 2, 0, 4, 3, 4, 4, 2, 2, 0, 2, 3, 1, 3, 0, 1, 3, 4, 2, 2, 1, 3, 4, 1, 2, 1, 1, 4, 3, 4, 3, 2, 4, 2, 1, 4, 4, 3, 1, 1, 2, 2, 1, 2, 3, 4, 2, 3, 1, 2, 0, 1, 3, 0, 1, 2, 0, 4, 3, 0, 3, 1, 2, 1, 2, 3, 1, 0, 3, 3, 1, 4, 1, 3, 1, 4, 2, 4, 0, 1, 3, 4, 2, 3, 3, 3, 0, 3, 1, 4, 3, 0, 3, 2, 1, 2, 4, 4, 2, 3, 1, 0, 4, 1, 3, 3, 0, 3, 2, 3, 0, 3, 4, 3, 1, 3, 3, 1, 4, 4, 2, 1, 3, 2, 1, 4, 4, 3, 0, 3, 2, 4, 0, 3, 1, 2, 3, 0, 2, 1, 2, 1, 3, 1, 4, 2, 1, 2, 0, 0, 0, 4, 1, 1, 3, 2, 1, 1, 4, 1, 0, 0, 3, 0, 1, 0, 1, 4, 4, 4, 4, 1, 2, 3, 3, 4, 0, 2, 4, 1, 3, 1, 4, 4, 1, 4, 4, 2, 2, 3, 0, 2, 0, 0, 2, 0, 2, 3, 3, 3, 4, 4, 4, 1, 2, 2, 0, 3, 0, 3, 1, 2, 1, 3, 0, 3, 1, 2, 3, 4, 0, 4, 4, 4, 0, 4, 4, 2, 3, 4, 0, 1, 4, 0, 3, 4, 3, 3, 0, 4, 0, 3, 2, 3, 4, 0, 1, 0, 0, 2, 3, 3, 1, 2, 4, 2, 3, 3, 1, 0, 4, 4, 0, 2, 4, 2, 4, 1, 2, 3, 2, 2, 0, 4, 4, 3, 0, 4, 3, 3, 4, 0, 3, 2, 4]
pubkeycol634 = [4, 0, 4, 3, 3, 3, 1, 2, 0, 1, 2, 4, 4, 2, 1, 1, 0, 2, 0, 3, 4, 2, 2, 1, 3, 1, 1, 4, 4, 0, 0, 4, 3, 1, 1, 4, 4, 0, 0, 0, 1, 2, 2, 4, 3, 4, 3, 0, 0, 2, 4, 3, 2, 0, 4, 0, 1, 1, 1, 1, 4, 3, 1, 3, 2, 3, 3, 4, 2, 4, 4, 4, 1, 4, 0, 1, 1, 2, 2, 4, 0, 3, 2, 4, 1, 1, 2, 1, 4, 4, 1, 2, 3, 4, 1, 1, 1, 2, 4, 0, 1, 4, 0, 4, 3, 3, 3, 3, 1, 4, 1, 0, 4, 1, 3, 1, 3, 1, 4, 1, 2, 4, 3, 0, 2, 0, 0, 3, 0, 4, 2, 0, 3, 3, 0, 1, 2, 4, 0, 4, 3, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 4, 0, 0, 0, 4, 4, 0, 2, 2, 2, 2, 3, 1, 1, 1, 0, 3, 2, 0, 1, 3, 2, 0, 1, 2, 3, 3, 0, 2, 0, 4, 2, 0, 4, 4, 3, 3, 0, 3, 0, 1, 1, 0, 3, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 3, 0, 0, 4, 2, 1, 1, 2, 0, 2, 3, 4, 1, 0, 1, 2, 2, 0, 2, 3, 2, 3, 0, 0, 1, 2, 3, 0, 3, 3, 2, 3, 0, 3, 1, 4, 0, 3, 3, 0, 1, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 0, 2, 4, 2, 0, 3, 1, 1, 1, 2, 3, 3, 2, 2, 0, 1, 3, 3, 2, 1, 1, 2, 4, 0, 2, 4, 1, 3, 0, 3, 0, 3, 2, 1, 4, 1, 3, 2, 2, 0, 0, 1, 3, 0, 4, 1, 2, 1, 1, 3, 3, 2, 2, 3, 4, 2, 0, 3, 4, 2, 0, 0, 1, 3, 2, 4, 1, 1, 1, 0, 4, 2, 2, 3, 0, 2, 1, 3, 4, 1, 0, 3, 3, 0, 2, 4, 4, 3, 4, 0, 2, 1, 1, 2, 1, 4, 2, 4, 3, 0, 2, 4, 3, 4, 3, 3, 0, 4, 2, 0, 1, 1, 0, 0, 0, 3, 3, 1, 3, 0, 2, 0, 3, 2, 3, 2, 4, 1, 1, 4, 0, 3, 2, 2, 4, 0, 4, 1, 2, 4, 3, 3, 3]
pubkeycol635 = [2, 0, 3, 4, 3, 0, 3, 3, 3, 3, 2, 2, 3, 1, 3, 0, 2, 2, 4, 4, 3, 4, 4, 1, 3, 2, 2, 1, 2, 4, 2, 1, 1, 3, 0, 2, 4, 2, 0, 2, 4, 4, 1, 3, 0, 2, 0, 1, 3, 4, 2, 0, 0, 0, 0, 4, 0, 1, 4, 2, 0, 2, 0, 4, 4, 0, 2, 2, 4, 4, 1, 3, 2, 1, 4, 4, 0, 0, 4, 0, 3, 2, 2, 4, 3, 3, 2, 0, 0, 0, 3, 4, 3, 4, 0, 4, 1, 1, 4, 2, 4, 4, 3, 4, 2, 2, 1, 1, 0, 1, 4, 1, 3, 2, 1, 4, 2, 0, 1, 1, 3, 3, 3, 2, 3, 2, 4, 2, 0, 2, 4, 4, 3, 4, 0, 2, 3, 1, 3, 2, 1, 1, 4, 4, 1, 3, 2, 2, 1, 1, 3, 0, 2, 3, 2, 4, 1, 0, 2, 2, 2, 3, 3, 1, 2, 4, 0, 4, 2, 3, 1, 2, 2, 0, 1, 4, 1, 0, 0, 4, 0, 2, 1, 3, 3, 2, 4, 4, 0, 4, 3, 2, 4, 0, 1, 0, 3, 0, 0, 4, 3, 2, 3, 1, 0, 0, 4, 1, 4, 1, 2, 4, 0, 0, 1, 1, 0, 1, 4, 3, 1, 2, 4, 3, 4, 2, 4, 4, 0, 0, 0, 3, 3, 4, 4, 2, 2, 4, 2, 2, 3, 4, 4, 4, 2, 2, 0, 1, 2, 0, 4, 0, 0, 3, 2, 0, 2, 3, 0, 4, 4, 2, 4, 1, 2, 0, 1, 2, 4, 3, 4, 1, 0, 2, 2, 4, 2, 0, 2, 4, 3, 2, 3, 1, 1, 3, 3, 0, 0, 0, 3, 0, 1, 3, 1, 2, 1, 4, 4, 0, 4, 4, 4, 3, 0, 1, 4, 0, 4, 3, 4, 3, 3, 4, 4, 4, 4, 1, 4, 3, 2, 2, 2, 4, 3, 2, 2, 2, 0, 2, 2, 4, 0, 2, 1, 0, 0, 4, 3, 4, 2, 2, 2, 2, 4, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 3, 4, 4, 0, 3, 1, 0, 1, 4, 1, 2, 0, 1, 2, 4, 0, 4, 0, 4, 3, 1, 0, 3, 2, 3, 4, 4, 4, 4, 0, 2, 3, 0, 0, 0, 4, 0, 1, 3, 3, 1, 4, 3, 0]
pubkeycol636 = [0, 2, 4, 2, 4, 0, 1, 3, 3, 0, 3, 2, 0, 3, 0, 4, 2, 2, 0, 2, 4, 0, 1, 0, 3, 2, 0, 2, 3, 0, 4, 4, 4, 1, 0, 0, 4, 2, 4, 4, 3, 0, 1, 1, 1, 0, 1, 2, 2, 1, 4, 3, 0, 3, 1, 4, 4, 0, 4, 4, 0, 4, 2, 1, 4, 4, 0, 4, 2, 2, 3, 4, 3, 1, 1, 0, 2, 0, 2, 2, 0, 4, 4, 2, 2, 4, 0, 4, 2, 4, 1, 3, 2, 0, 2, 0, 4, 0, 4, 3, 1, 3, 1, 3, 3, 0, 3, 1, 4, 0, 2, 3, 0, 4, 2, 0, 1, 0, 3, 2, 2, 0, 3, 4, 0, 0, 2, 4, 0, 4, 0, 2, 1, 1, 3, 0, 1, 1, 3, 4, 2, 4, 2, 1, 4, 3, 1, 3, 2, 1, 2, 3, 1, 0, 0, 4, 4, 0, 2, 0, 4, 1, 1, 1, 4, 1, 3, 2, 0, 1, 3, 0, 0, 1, 1, 0, 2, 2, 4, 3, 2, 0, 1, 3, 3, 1, 2, 0, 1, 1, 0, 2, 1, 2, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 4, 3, 3, 4, 2, 3, 4, 4, 4, 3, 0, 4, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 3, 0, 3, 0, 2, 4, 2, 1, 1, 1, 0, 4, 3, 3, 2, 1, 4, 4, 4, 4, 1, 1, 3, 0, 2, 2, 4, 0, 0, 4, 3, 0, 0, 0, 0, 3, 1, 3, 0, 1, 3, 0, 1, 1, 4, 0, 3, 0, 3, 2, 4, 1, 4, 1, 1, 1, 2, 3, 1, 2, 2, 1, 0, 1, 3, 4, 4, 3, 3, 1, 3, 1, 4, 3, 2, 3, 3, 0, 1, 2, 0, 2, 1, 2, 1, 3, 4, 3, 0, 3, 4, 2, 3, 3, 1, 1, 1, 2, 3, 0, 2, 0, 1, 3, 1, 4, 1, 0, 1, 2, 3, 3, 1, 4, 1, 4, 3, 1, 3, 1, 3, 3, 2, 2, 4, 0, 1, 0, 4, 0, 2, 0, 2, 4, 0, 2, 3, 0, 3, 2, 1, 2, 2, 3, 3, 4, 4, 0, 4, 2, 2, 2, 2, 3, 4, 0, 0, 1, 2, 0, 0, 3, 2, 0, 1, 1, 4, 0, 4, 4, 1]
pubkeycol637 = [3, 4, 3, 3, 2, 0, 4, 3, 0, 0, 1, 4, 4, 1, 3, 2, 3, 3, 3, 0, 4, 4, 1, 4, 3, 1, 0, 2, 3, 2, 0, 1, 4, 3, 3, 4, 0, 1, 2, 3, 1, 1, 3, 3, 1, 2, 1, 3, 0, 1, 2, 1, 2, 4, 1, 2, 0, 3, 1, 2, 2, 3, 1, 4, 2, 3, 1, 3, 2, 3, 3, 1, 3, 0, 4, 4, 1, 4, 2, 0, 4, 3, 2, 0, 3, 2, 2, 3, 1, 3, 1, 4, 1, 1, 2, 3, 2, 1, 1, 1, 4, 1, 3, 0, 2, 0, 2, 0, 3, 3, 1, 2, 1, 3, 0, 1, 0, 1, 4, 2, 3, 0, 3, 4, 0, 1, 3, 0, 1, 2, 2, 0, 0, 3, 3, 0, 3, 1, 2, 4, 1, 3, 3, 4, 2, 4, 1, 0, 3, 4, 1, 3, 3, 1, 3, 4, 3, 2, 2, 0, 1, 4, 0, 3, 2, 3, 3, 3, 4, 0, 3, 1, 4, 4, 4, 3, 3, 4, 0, 4, 1, 3, 1, 2, 4, 0, 3, 3, 0, 4, 4, 4, 4, 2, 2, 0, 4, 3, 4, 0, 3, 4, 4, 2, 1, 0, 4, 4, 0, 2, 1, 1, 3, 2, 4, 3, 0, 1, 2, 4, 1, 1, 2, 3, 4, 0, 1, 1, 4, 2, 3, 3, 3, 4, 0, 0, 3, 2, 3, 1, 3, 4, 2, 1, 4, 1, 0, 3, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 3, 2, 2, 1, 0, 4, 3, 1, 3, 4, 4, 4, 4, 4, 2, 3, 2, 3, 4, 4, 2, 0, 3, 2, 0, 4, 1, 1, 0, 2, 0, 1, 1, 0, 3, 1, 0, 0, 4, 1, 3, 2, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 0, 1, 3, 4, 2, 3, 1, 0, 0, 4, 3, 1, 3, 0, 2, 1, 1, 2, 4, 0, 2, 0, 3, 1, 3, 2, 1, 4, 0, 1, 1, 3, 2, 2, 1, 4, 3, 4, 1, 0, 1, 1, 0, 1, 1, 3, 2, 2, 0, 2, 0, 4, 0, 3, 1, 2, 0, 4, 4, 2, 0, 4, 2, 4, 3, 1, 2, 4, 1, 2, 3, 2, 2, 3, 0, 1, 3, 2, 3, 1, 4, 2, 0, 1, 1, 2, 3, 2, 0]
pubkeycol638 = [4, 4, 0, 0, 1, 3, 4, 4, 4, 2, 0, 0, 3, 0, 0, 3, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 4, 2, 1, 1, 2, 2, 1, 0, 0, 3, 1, 2, 1, 0, 3, 0, 0, 1, 0, 0, 4, 3, 1, 0, 4, 0, 2, 4, 0, 0, 0, 3, 0, 2, 3, 1, 0, 3, 1, 0, 3, 3, 3, 3, 2, 4, 2, 2, 0, 1, 3, 4, 4, 3, 1, 4, 3, 0, 0, 0, 1, 2, 0, 0, 3, 0, 2, 1, 1, 0, 1, 0, 1, 4, 1, 4, 3, 1, 1, 2, 4, 4, 2, 0, 0, 4, 0, 0, 3, 3, 4, 0, 1, 0, 0, 1, 3, 0, 2, 4, 3, 3, 1, 0, 4, 0, 1, 2, 3, 1, 3, 2, 3, 0, 0, 2, 3, 4, 0, 4, 3, 3, 0, 3, 3, 1, 0, 1, 3, 3, 0, 0, 3, 0, 0, 2, 4, 3, 0, 2, 4, 1, 3, 4, 0, 4, 1, 1, 2, 0, 0, 3, 4, 2, 4, 4, 1, 1, 4, 3, 4, 4, 2, 1, 0, 4, 2, 1, 3, 2, 4, 2, 4, 2, 2, 4, 0, 2, 3, 3, 4, 2, 3, 0, 3, 3, 4, 3, 2, 4, 3, 2, 3, 1, 3, 4, 0, 1, 3, 1, 2, 2, 1, 1, 0, 0, 4, 0, 3, 2, 1, 0, 2, 0, 0, 2, 1, 3, 4, 2, 4, 3, 3, 1, 3, 1, 3, 3, 1, 3, 0, 0, 2, 2, 4, 0, 1, 1, 0, 3, 2, 0, 4, 0, 2, 2, 2, 1, 0, 2, 3, 2, 2, 1, 4, 1, 0, 3, 2, 2, 2, 4, 4, 3, 3, 3, 3, 2, 4, 4, 4, 0, 4, 2, 3, 2, 0, 0, 0, 4, 1, 2, 1, 4, 1, 1, 4, 0, 3, 2, 3, 4, 0, 4, 2, 2, 0, 4, 0, 3, 0, 2, 0, 0, 2, 4, 4, 0, 1, 0, 3, 3, 3, 1, 2, 2, 1, 3, 0, 1, 2, 4, 0, 3, 2, 3, 3, 3, 3, 1, 4, 0, 1, 0, 1, 2, 2, 0, 0, 4, 2, 4, 0, 3, 0, 4, 1, 2, 1, 4, 4, 3, 0, 1, 2, 3, 1, 2, 3, 1, 0, 3, 3, 4, 2, 2, 4, 2, 4, 3]
pubkeycol639 = [0, 4, 0, 3, 2, 2, 2, 2, 2, 3, 2, 0, 0, 1, 4, 1, 2, 1, 2, 0, 0, 2, 3, 4, 2, 1, 2, 3, 2, 4, 3, 1, 4, 4, 4, 2, 2, 2, 1, 1, 4, 0, 2, 4, 0, 4, 2, 2, 1, 0, 4, 0, 4, 1, 2, 1, 0, 1, 3, 1, 1, 0, 3, 2, 4, 2, 3, 0, 2, 1, 1, 1, 3, 0, 3, 4, 3, 2, 4, 1, 2, 2, 4, 0, 0, 1, 2, 1, 0, 1, 2, 3, 2, 4, 1, 0, 4, 2, 4, 2, 3, 3, 4, 2, 0, 1, 4, 1, 4, 0, 4, 4, 4, 1, 2, 1, 3, 1, 2, 0, 3, 0, 1, 3, 3, 0, 0, 4, 0, 0, 4, 4, 4, 2, 4, 3, 4, 2, 0, 0, 0, 1, 1, 4, 0, 2, 1, 1, 1, 1, 4, 2, 3, 0, 1, 3, 4, 3, 0, 4, 4, 4, 1, 4, 3, 4, 3, 0, 1, 2, 0, 2, 0, 2, 4, 0, 1, 2, 0, 0, 2, 2, 2, 2, 4, 3, 3, 3, 0, 0, 1, 3, 2, 2, 2, 1, 0, 3, 2, 3, 3, 2, 0, 4, 3, 4, 2, 3, 4, 3, 0, 4, 0, 0, 4, 1, 3, 4, 4, 4, 0, 3, 4, 4, 2, 4, 4, 4, 2, 4, 2, 2, 4, 1, 2, 3, 1, 0, 2, 1, 4, 3, 1, 1, 1, 2, 1, 3, 1, 2, 4, 1, 1, 1, 3, 0, 4, 4, 2, 2, 4, 4, 0, 0, 1, 0, 0, 2, 4, 0, 4, 2, 3, 1, 0, 3, 4, 0, 3, 1, 2, 0, 1, 1, 0, 0, 2, 4, 1, 1, 1, 0, 1, 1, 1, 3, 3, 0, 2, 3, 4, 1, 1, 3, 2, 1, 0, 3, 1, 2, 2, 1, 3, 4, 0, 2, 3, 2, 4, 0, 3, 0, 4, 2, 1, 2, 0, 1, 2, 2, 4, 3, 2, 2, 2, 4, 4, 4, 3, 2, 2, 3, 3, 2, 4, 2, 0, 0, 4, 0, 2, 3, 0, 3, 2, 2, 2, 2, 1, 2, 3, 0, 1, 1, 0, 3, 2, 2, 4, 1, 3, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 4, 0, 2, 3, 0, 3, 1, 1, 3, 1, 0, 3, 3, 1, 1, 1, 0, 3, 0]
pubkeycol640 = [4, 1, 4, 0, 0, 4, 1, 2, 1, 4, 3, 4, 2, 3, 2, 2, 4, 1, 3, 4, 3, 0, 3, 4, 3, 2, 1, 0, 3, 3, 1, 4, 2, 2, 4, 0, 3, 0, 0, 4, 3, 1, 4, 0, 4, 2, 4, 4, 4, 4, 3, 0, 1, 4, 0, 1, 2, 4, 1, 0, 0, 0, 4, 1, 2, 0, 1, 2, 4, 2, 4, 2, 2, 2, 0, 3, 0, 3, 2, 4, 2, 4, 0, 2, 3, 4, 3, 4, 2, 2, 3, 4, 2, 3, 1, 2, 2, 1, 1, 1, 2, 3, 4, 2, 2, 4, 0, 1, 0, 1, 1, 0, 2, 4, 2, 3, 2, 3, 0, 4, 0, 0, 0, 3, 2, 1, 2, 2, 1, 2, 2, 4, 1, 4, 1, 0, 1, 1, 0, 0, 0, 3, 1, 3, 1, 2, 1, 0, 3, 4, 1, 2, 4, 3, 1, 0, 2, 0, 2, 0, 1, 2, 1, 4, 3, 4, 1, 1, 0, 2, 4, 0, 4, 2, 3, 0, 3, 0, 1, 1, 1, 1, 2, 2, 4, 1, 1, 1, 4, 3, 1, 1, 4, 3, 3, 4, 1, 3, 3, 2, 4, 2, 1, 0, 4, 0, 1, 2, 2, 4, 1, 1, 0, 3, 3, 3, 3, 4, 3, 2, 4, 3, 3, 3, 4, 0, 0, 0, 2, 2, 2, 1, 3, 2, 3, 4, 0, 4, 0, 3, 1, 4, 2, 3, 0, 4, 4, 2, 4, 1, 3, 1, 0, 0, 0, 3, 3, 3, 3, 4, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 2, 2, 0, 4, 0, 4, 2, 3, 0, 0, 1, 2, 0, 4, 2, 0, 3, 4, 3, 1, 2, 1, 2, 3, 1, 1, 1, 1, 0, 3, 0, 4, 2, 4, 4, 3, 0, 0, 1, 3, 1, 4, 2, 4, 0, 1, 2, 0, 1, 0, 1, 3, 0, 2, 2, 3, 3, 2, 1, 4, 4, 1, 1, 2, 2, 0, 1, 3, 1, 2, 1, 2, 4, 2, 1, 1, 4, 0, 2, 1, 4, 1, 2, 4, 0, 1, 4, 4, 1, 0, 1, 4, 2, 2, 4, 4, 3, 0, 0, 2, 4, 4, 1, 1, 1, 3, 2, 0, 3, 3, 4, 4, 2, 1, 2, 2, 0, 3, 4, 3, 1, 3, 0, 3, 2, 4, 4, 0, 2, 0]
pubkeycol641 = [4, 3, 1, 1, 1, 0, 2, 0, 2, 0, 1, 3, 3, 4, 3, 1, 4, 1, 4, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 4, 0, 4, 3, 2, 3, 0, 4, 0, 3, 1, 0, 4, 0, 4, 0, 0, 2, 4, 2, 3, 3, 0, 2, 0, 2, 3, 0, 1, 4, 2, 3, 3, 3, 2, 3, 2, 4, 2, 4, 3, 4, 1, 2, 2, 4, 0, 1, 3, 2, 2, 0, 2, 1, 3, 2, 2, 3, 0, 2, 0, 2, 1, 4, 4, 1, 0, 0, 3, 1, 1, 4, 2, 2, 0, 4, 1, 3, 4, 3, 4, 2, 4, 4, 1, 4, 0, 3, 2, 1, 4, 1, 0, 0, 1, 2, 0, 3, 3, 2, 2, 3, 4, 1, 0, 1, 4, 2, 1, 0, 0, 3, 1, 1, 4, 1, 0, 0, 3, 1, 3, 0, 2, 1, 4, 4, 4, 4, 1, 3, 3, 3, 0, 4, 2, 2, 3, 0, 2, 4, 3, 2, 0, 2, 0, 4, 0, 0, 4, 1, 0, 0, 0, 1, 1, 3, 2, 0, 2, 0, 3, 4, 1, 1, 1, 2, 0, 2, 2, 3, 4, 0, 3, 1, 3, 1, 1, 0, 0, 0, 3, 0, 2, 3, 4, 3, 2, 2, 2, 3, 4, 4, 3, 1, 0, 2, 4, 2, 1, 3, 0, 0, 4, 3, 1, 3, 3, 4, 0, 0, 2, 1, 0, 1, 3, 3, 0, 0, 2, 0, 3, 2, 0, 4, 4, 3, 0, 1, 3, 2, 3, 2, 0, 2, 4, 0, 0, 1, 4, 2, 2, 4, 0, 4, 2, 2, 3, 0, 1, 1, 2, 2, 3, 0, 1, 3, 1, 0, 0, 1, 0, 4, 0, 1, 2, 1, 0, 2, 2, 3, 2, 1, 0, 3, 2, 4, 4, 2, 0, 1, 2, 2, 4, 0, 2, 2, 1, 0, 3, 2, 3, 3, 1, 2, 1, 0, 1, 0, 3, 2, 1, 2, 1, 4, 0, 0, 4, 0, 3, 0, 1, 4, 4, 2, 4, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 4, 1, 2, 4, 2, 4, 3, 2, 4, 1, 2, 3, 4, 2, 0, 2, 3, 2, 3, 0, 3, 1, 2, 4, 1, 0, 0, 4, 0, 0, 1, 3, 0, 4, 0, 2, 1, 4, 0, 4, 3]
pubkeycol642 = [1, 1, 3, 3, 0, 4, 0, 1, 0, 4, 4, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 2, 1, 4, 2, 3, 3, 4, 4, 2, 4, 4, 1, 2, 0, 0, 0, 3, 3, 4, 4, 1, 2, 2, 3, 3, 3, 1, 3, 3, 1, 3, 2, 0, 1, 2, 2, 3, 3, 3, 3, 0, 3, 2, 4, 1, 4, 3, 4, 3, 2, 0, 4, 3, 3, 4, 0, 2, 1, 0, 3, 2, 3, 1, 1, 1, 0, 2, 2, 3, 1, 3, 3, 4, 4, 0, 3, 3, 4, 2, 4, 3, 4, 2, 3, 4, 3, 0, 0, 2, 3, 3, 1, 1, 0, 1, 2, 4, 0, 2, 3, 0, 4, 1, 4, 1, 2, 1, 2, 3, 3, 0, 4, 1, 2, 1, 3, 1, 4, 0, 2, 4, 4, 2, 2, 0, 2, 2, 1, 0, 3, 1, 1, 4, 0, 2, 3, 2, 4, 2, 2, 4, 2, 0, 1, 0, 1, 0, 2, 0, 4, 4, 2, 0, 0, 1, 1, 1, 3, 1, 2, 4, 4, 3, 1, 3, 4, 1, 1, 2, 4, 1, 3, 1, 4, 1, 0, 3, 2, 2, 2, 2, 4, 1, 2, 2, 4, 4, 4, 1, 1, 2, 0, 2, 1, 3, 2, 2, 3, 0, 1, 3, 1, 1, 1, 4, 2, 1, 3, 0, 0, 4, 4, 2, 0, 3, 3, 2, 1, 1, 2, 3, 4, 2, 1, 0, 2, 3, 4, 3, 3, 0, 2, 4, 4, 0, 4, 0, 4, 3, 1, 4, 4, 2, 0, 3, 0, 4, 4, 4, 4, 4, 1, 1, 4, 2, 4, 1, 4, 4, 3, 4, 1, 0, 0, 3, 2, 0, 4, 1, 0, 2, 0, 3, 2, 0, 0, 4, 4, 3, 1, 0, 4, 3, 1, 2, 0, 4, 0, 4, 3, 3, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 4, 3, 0, 0, 1, 2, 2, 2, 4, 0, 2, 0, 2, 1, 2, 4, 1, 3, 3, 2, 4, 0, 4, 2, 3, 3, 1, 2, 1, 1, 4, 3, 0, 2, 0, 3, 3, 1, 4, 4, 2, 4, 0, 2, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 3, 0, 0, 0, 0, 1, 1, 4, 3, 4, 1, 2, 1, 4, 3, 0, 0, 4, 0, 2, 3]
pubkeycol643 = [2, 1, 1, 2, 0, 3, 1, 2, 0, 4, 1, 0, 4, 3, 0, 4, 0, 1, 2, 4, 3, 0, 2, 0, 3, 1, 0, 0, 4, 3, 2, 0, 3, 4, 4, 2, 0, 1, 2, 0, 4, 3, 3, 0, 1, 0, 1, 4, 3, 1, 0, 0, 1, 2, 4, 0, 1, 1, 4, 1, 0, 1, 3, 1, 0, 2, 4, 2, 0, 2, 3, 0, 1, 3, 4, 0, 3, 4, 0, 0, 4, 3, 0, 1, 4, 4, 4, 4, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 3, 2, 1, 4, 2, 4, 1, 3, 1, 3, 2, 2, 1, 0, 2, 0, 1, 4, 4, 0, 3, 0, 1, 4, 3, 1, 2, 2, 2, 2, 4, 2, 2, 1, 3, 3, 4, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 0, 0, 1, 0, 2, 3, 2, 0, 1, 1, 0, 2, 3, 1, 3, 0, 3, 4, 3, 3, 1, 4, 2, 0, 2, 2, 2, 3, 2, 3, 4, 0, 4, 2, 3, 4, 1, 0, 2, 1, 3, 0, 2, 3, 3, 2, 3, 0, 1, 4, 1, 4, 2, 0, 0, 4, 4, 1, 4, 0, 3, 4, 2, 2, 4, 3, 2, 1, 0, 4, 2, 4, 2, 3, 3, 1, 3, 4, 4, 4, 2, 1, 1, 3, 3, 4, 0, 4, 1, 4, 3, 2, 0, 2, 2, 3, 2, 2, 0, 1, 2, 3, 2, 4, 4, 3, 0, 4, 2, 0, 2, 4, 2, 2, 0, 2, 1, 3, 0, 1, 3, 2, 3, 4, 2, 0, 3, 3, 3, 4, 0, 1, 2, 4, 2, 3, 1, 1, 2, 4, 1, 0, 3, 3, 4, 4, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 4, 1, 0, 0, 4, 3, 2, 4, 2, 1, 0, 2, 0, 4, 0, 1, 4, 4, 1, 0, 2, 2, 2, 1, 3, 0, 0, 3, 1, 1, 2, 3, 1, 1, 1, 2, 2, 3, 3, 0, 4, 2, 3, 1, 3, 2, 1, 1, 3, 3, 2, 4, 1, 3, 4, 3, 2, 3, 2, 1, 4, 1, 1, 3, 4, 1, 4, 2, 3, 1, 3, 0, 0, 3, 2, 3, 3, 3, 0, 4, 3, 2, 2, 2, 2, 4, 3, 0, 4, 4, 2, 2, 1, 2, 2, 2, 2, 1, 4]
pubkeycol644 = [4, 2, 4, 2, 0, 1, 1, 0, 0, 0, 0, 1, 3, 1, 3, 0, 3, 2, 2, 2, 0, 4, 2, 4, 3, 4, 1, 1, 3, 2, 4, 2, 3, 4, 1, 0, 2, 3, 4, 1, 0, 0, 4, 1, 1, 4, 2, 0, 2, 2, 3, 3, 3, 1, 1, 3, 2, 4, 2, 3, 2, 2, 0, 0, 4, 0, 4, 4, 1, 1, 3, 0, 1, 0, 4, 0, 2, 0, 3, 0, 2, 2, 3, 2, 0, 3, 0, 4, 2, 0, 2, 3, 3, 1, 4, 3, 1, 1, 4, 1, 0, 4, 4, 2, 4, 2, 0, 3, 1, 1, 4, 0, 1, 3, 4, 4, 0, 1, 2, 2, 3, 4, 4, 3, 4, 0, 0, 2, 2, 0, 3, 4, 3, 1, 4, 0, 1, 1, 2, 0, 1, 2, 4, 1, 3, 1, 1, 2, 4, 4, 2, 0, 3, 2, 1, 4, 2, 2, 3, 4, 1, 3, 3, 3, 1, 3, 1, 2, 2, 4, 2, 0, 1, 1, 3, 3, 0, 1, 3, 1, 2, 3, 2, 1, 0, 4, 1, 1, 3, 2, 1, 3, 1, 3, 2, 3, 0, 2, 2, 2, 4, 2, 2, 0, 0, 0, 2, 3, 3, 0, 4, 3, 4, 2, 0, 4, 0, 3, 2, 2, 1, 4, 2, 4, 2, 4, 3, 0, 4, 4, 1, 0, 3, 4, 3, 4, 4, 4, 0, 3, 1, 1, 4, 2, 3, 1, 2, 3, 4, 3, 0, 2, 4, 4, 3, 2, 3, 4, 2, 3, 1, 0, 3, 1, 1, 2, 3, 4, 0, 4, 2, 0, 0, 4, 0, 1, 0, 4, 0, 4, 2, 1, 3, 3, 1, 0, 4, 3, 4, 2, 0, 0, 1, 3, 0, 1, 4, 1, 3, 4, 2, 4, 4, 4, 3, 2, 4, 0, 2, 4, 1, 1, 1, 0, 1, 4, 2, 3, 1, 4, 4, 2, 3, 4, 0, 1, 1, 2, 1, 3, 3, 3, 0, 2, 4, 2, 1, 4, 4, 1, 0, 1, 0, 4, 1, 1, 4, 2, 3, 3, 3, 0, 0, 2, 1, 0, 4, 0, 4, 0, 2, 3, 0, 4, 3, 1, 1, 1, 0, 3, 3, 0, 0, 3, 3, 1, 1, 3, 0, 1, 2, 4, 1, 2, 4, 1, 3, 3, 3, 4, 2, 3, 3, 1, 1, 2, 0, 4, 0, 1]
pubkeycol645 = [0, 3, 0, 3, 2, 3, 0, 0, 4, 0, 2, 0, 2, 0, 3, 3, 1, 4, 1, 3, 1, 0, 2, 3, 1, 1, 0, 3, 0, 2, 1, 0, 0, 3, 4, 2, 1, 4, 0, 3, 3, 4, 0, 4, 0, 1, 2, 4, 1, 4, 0, 1, 2, 1, 3, 1, 3, 4, 2, 0, 0, 1, 4, 0, 0, 3, 0, 1, 3, 1, 0, 0, 3, 3, 3, 2, 3, 0, 1, 2, 4, 4, 2, 1, 0, 1, 0, 4, 3, 0, 0, 2, 2, 3, 2, 0, 0, 4, 1, 0, 4, 2, 1, 1, 1, 2, 1, 3, 1, 2, 0, 1, 4, 2, 0, 3, 1, 2, 3, 4, 3, 4, 3, 4, 1, 1, 4, 1, 2, 0, 1, 1, 0, 0, 4, 1, 0, 3, 0, 0, 0, 2, 0, 4, 4, 1, 4, 2, 0, 2, 1, 2, 3, 1, 0, 3, 4, 0, 1, 4, 0, 2, 0, 2, 0, 4, 1, 4, 2, 3, 1, 2, 0, 1, 2, 3, 4, 3, 2, 3, 0, 1, 1, 0, 0, 0, 3, 3, 3, 1, 3, 1, 0, 1, 1, 2, 0, 0, 0, 3, 4, 2, 0, 1, 2, 4, 1, 1, 0, 4, 1, 2, 3, 0, 1, 4, 4, 4, 3, 4, 1, 0, 4, 2, 1, 3, 4, 1, 2, 4, 3, 1, 4, 1, 3, 4, 1, 0, 1, 4, 1, 2, 1, 1, 4, 2, 1, 0, 1, 1, 1, 3, 4, 4, 4, 0, 4, 4, 3, 4, 3, 3, 3, 3, 3, 0, 4, 1, 1, 0, 1, 1, 3, 2, 3, 2, 3, 4, 3, 1, 0, 3, 4, 2, 1, 1, 4, 1, 0, 2, 2, 2, 0, 3, 1, 0, 4, 3, 2, 2, 3, 4, 2, 2, 1, 1, 4, 0, 4, 4, 3, 0, 0, 2, 2, 2, 4, 4, 0, 3, 1, 3, 3, 1, 4, 3, 4, 3, 1, 4, 1, 2, 0, 0, 2, 2, 1, 3, 0, 4, 2, 2, 1, 3, 2, 0, 3, 0, 2, 2, 2, 3, 0, 1, 3, 3, 0, 3, 0, 4, 0, 4, 0, 3, 0, 2, 2, 0, 1, 1, 3, 4, 1, 1, 3, 1, 2, 0, 3, 0, 0, 3, 3, 4, 1, 3, 3, 1, 4, 0, 2, 0, 1, 2, 4, 2, 0, 0, 3, 1]
pubkeycol646 = [1, 1, 3, 1, 1, 0, 2, 2, 4, 0, 1, 4, 4, 1, 4, 1, 4, 1, 0, 0, 4, 1, 2, 3, 0, 2, 3, 3, 1, 1, 1, 3, 2, 3, 2, 2, 1, 4, 1, 1, 4, 3, 4, 4, 0, 4, 4, 3, 4, 1, 0, 3, 1, 0, 2, 0, 4, 2, 2, 4, 1, 4, 2, 1, 1, 1, 0, 2, 1, 4, 0, 0, 4, 2, 1, 1, 2, 1, 4, 2, 3, 3, 3, 3, 0, 2, 2, 1, 3, 3, 2, 1, 0, 2, 2, 1, 4, 2, 0, 1, 3, 1, 1, 3, 0, 4, 4, 3, 3, 0, 1, 3, 4, 1, 3, 2, 0, 3, 3, 3, 4, 3, 1, 3, 1, 1, 2, 2, 0, 3, 3, 3, 4, 3, 0, 2, 4, 0, 2, 4, 4, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 3, 4, 0, 3, 2, 0, 2, 1, 1, 4, 0, 3, 1, 2, 3, 4, 3, 3, 2, 1, 4, 2, 2, 3, 3, 1, 3, 3, 1, 0, 0, 1, 2, 1, 0, 3, 1, 4, 4, 4, 3, 1, 4, 1, 2, 1, 1, 2, 1, 3, 0, 0, 0, 0, 0, 4, 2, 3, 3, 4, 1, 3, 4, 1, 1, 4, 4, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 3, 1, 4, 4, 2, 0, 3, 4, 0, 3, 3, 2, 4, 4, 0, 0, 1, 0, 4, 1, 3, 2, 4, 3, 0, 0, 3, 3, 3, 4, 1, 4, 1, 2, 2, 0, 1, 3, 4, 4, 1, 0, 3, 2, 2, 2, 0, 4, 2, 3, 4, 4, 1, 2, 0, 3, 0, 0, 0, 1, 3, 1, 3, 0, 2, 3, 3, 2, 2, 0, 1, 2, 2, 2, 2, 0, 3, 1, 3, 4, 0, 0, 3, 0, 3, 4, 1, 1, 1, 2, 1, 2, 4, 2, 2, 3, 0, 1, 4, 0, 2, 2, 4, 4, 3, 1, 0, 0, 2, 2, 0, 3, 1, 0, 0, 2, 0, 0, 1, 1, 2, 4, 3, 1, 2, 4, 2, 4, 1, 3, 3, 0, 4, 0, 0, 2, 2, 1, 2, 1, 3, 0, 0, 3, 4, 4, 4, 1, 4, 0, 1, 3, 3, 1, 4, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 3, 4, 2]
pubkeycol647 = [1, 1, 0, 0, 4, 3, 0, 2, 3, 3, 4, 0, 1, 3, 4, 4, 1, 2, 1, 1, 4, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 3, 4, 2, 2, 0, 1, 2, 2, 1, 4, 1, 0, 3, 1, 2, 3, 1, 2, 3, 0, 0, 2, 0, 2, 4, 4, 1, 0, 1, 2, 0, 0, 1, 1, 2, 3, 0, 3, 4, 4, 3, 2, 1, 0, 3, 4, 3, 2, 0, 3, 0, 0, 1, 3, 0, 0, 4, 1, 0, 1, 2, 4, 3, 0, 0, 1, 3, 0, 2, 3, 4, 0, 3, 0, 1, 1, 0, 0, 3, 0, 0, 2, 2, 2, 2, 3, 1, 0, 3, 3, 1, 3, 2, 0, 1, 3, 4, 0, 3, 4, 3, 0, 0, 0, 3, 3, 4, 2, 4, 2, 0, 0, 2, 4, 4, 4, 0, 0, 2, 1, 3, 4, 2, 3, 2, 4, 0, 4, 4, 0, 2, 2, 2, 4, 3, 1, 2, 0, 0, 2, 0, 2, 1, 0, 3, 0, 1, 2, 2, 2, 1, 3, 4, 4, 1, 2, 1, 4, 2, 3, 2, 1, 1, 4, 3, 3, 4, 4, 1, 4, 3, 1, 0, 0, 3, 2, 4, 0, 4, 3, 4, 4, 3, 3, 2, 1, 0, 3, 1, 3, 2, 1, 4, 2, 2, 1, 3, 4, 0, 4, 1, 4, 0, 0, 3, 4, 1, 4, 3, 3, 0, 2, 1, 3, 2, 4, 3, 4, 2, 3, 2, 1, 4, 1, 1, 1, 4, 1, 2, 4, 4, 3, 3, 3, 2, 0, 4, 3, 3, 4, 2, 1, 2, 1, 1, 3, 3, 3, 1, 4, 0, 2, 2, 2, 0, 1, 4, 4, 2, 2, 0, 3, 4, 0, 4, 4, 0, 1, 0, 4, 3, 3, 2, 1, 2, 1, 4, 3, 4, 0, 1, 2, 3, 4, 4, 4, 1, 0, 4, 0, 1, 3, 0, 2, 1, 3, 3, 0, 1, 0, 3, 4, 3, 2, 1, 4, 3, 3, 2, 0, 3, 0, 2, 3, 1, 4, 3, 1, 2, 1, 1, 4, 4, 0, 4, 1, 2, 2, 0, 2, 2, 1, 4, 0, 1, 4, 3, 0, 2, 3, 4, 0, 0, 0, 2, 1, 2, 2, 0, 4, 0, 4, 3, 2, 1, 1, 1, 1, 2, 0, 3, 0, 4, 1, 0]
pubkeycol648 = [4, 0, 0, 3, 2, 1, 0, 3, 4, 0, 0, 3, 1, 1, 1, 3, 1, 4, 1, 1, 2, 2, 1, 0, 4, 3, 3, 4, 1, 3, 1, 4, 3, 4, 0, 2, 0, 4, 4, 3, 0, 4, 1, 0, 1, 0, 1, 3, 4, 4, 3, 2, 3, 0, 3, 2, 2, 1, 3, 3, 1, 0, 3, 0, 4, 2, 4, 0, 4, 1, 2, 0, 2, 3, 3, 0, 2, 2, 2, 3, 3, 1, 1, 3, 0, 0, 1, 3, 3, 0, 4, 4, 2, 2, 4, 1, 1, 2, 3, 1, 1, 0, 3, 4, 3, 2, 3, 3, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 3, 4, 4, 4, 2, 3, 2, 1, 4, 4, 3, 1, 1, 1, 0, 0, 4, 0, 1, 3, 2, 4, 3, 3, 0, 0, 1, 1, 2, 1, 4, 1, 1, 2, 3, 4, 2, 2, 4, 4, 2, 2, 2, 3, 2, 1, 4, 1, 1, 2, 3, 2, 1, 1, 0, 4, 4, 0, 4, 4, 0, 1, 2, 2, 4, 4, 0, 0, 4, 3, 0, 1, 4, 4, 0, 4, 0, 0, 2, 0, 1, 3, 4, 4, 3, 4, 3, 0, 2, 0, 3, 1, 0, 3, 2, 1, 1, 4, 3, 2, 2, 0, 3, 3, 0, 0, 2, 2, 2, 0, 2, 4, 2, 2, 0, 4, 2, 1, 0, 4, 1, 4, 1, 3, 4, 4, 1, 3, 2, 2, 4, 3, 4, 2, 0, 1, 3, 1, 2, 3, 4, 2, 4, 4, 3, 3, 3, 2, 0, 2, 4, 3, 4, 0, 1, 1, 1, 4, 4, 3, 2, 3, 1, 2, 2, 4, 4, 2, 3, 4, 4, 4, 4, 3, 4, 1, 1, 0, 0, 0, 1, 1, 3, 2, 1, 0, 1, 0, 4, 1, 2, 3, 2, 0, 0, 1, 4, 0, 3, 4, 0, 0, 2, 2, 1, 2, 0, 4, 3, 1, 3, 1, 3, 2, 1, 4, 1, 4, 3, 3, 4, 0, 2, 3, 2, 1, 1, 1, 3, 2, 0, 4, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 3, 4, 2, 0, 1, 1, 3, 2, 2, 3, 4, 0, 1, 3, 4, 4, 3, 2, 0, 4, 1, 2, 1, 2, 1, 0, 3, 2, 1, 1, 4, 0, 4, 4, 2, 4, 3, 1, 3, 0]
pubkeycol649 = [3, 0, 0, 4, 0, 0, 3, 4, 3, 0, 3, 1, 1, 3, 4, 4, 4, 4, 4, 0, 1, 2, 4, 4, 0, 3, 4, 4, 0, 3, 4, 4, 2, 3, 2, 3, 0, 2, 1, 0, 4, 2, 0, 4, 2, 1, 2, 2, 1, 2, 2, 4, 1, 2, 4, 0, 3, 1, 3, 0, 3, 3, 3, 2, 3, 4, 2, 0, 2, 4, 2, 0, 3, 1, 0, 3, 0, 1, 0, 4, 1, 4, 1, 1, 1, 4, 0, 1, 2, 1, 4, 3, 0, 2, 1, 3, 3, 1, 4, 1, 2, 4, 3, 0, 4, 3, 4, 1, 1, 4, 2, 0, 1, 3, 0, 3, 3, 0, 3, 2, 0, 2, 4, 3, 1, 3, 3, 2, 2, 4, 2, 0, 2, 4, 3, 3, 2, 3, 2, 2, 0, 0, 3, 4, 4, 1, 0, 1, 3, 4, 0, 4, 3, 1, 0, 3, 4, 1, 1, 2, 4, 0, 0, 1, 2, 0, 4, 4, 3, 4, 0, 4, 0, 0, 1, 3, 0, 0, 1, 3, 4, 2, 3, 4, 3, 0, 4, 1, 0, 0, 0, 0, 1, 1, 2, 4, 1, 4, 4, 2, 2, 3, 0, 0, 4, 1, 4, 3, 0, 3, 1, 0, 3, 1, 3, 1, 4, 1, 3, 0, 3, 3, 1, 4, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 4, 0, 0, 0, 0, 1, 4, 3, 2, 0, 4, 3, 4, 4, 3, 0, 4, 4, 2, 2, 2, 2, 4, 0, 1, 1, 3, 3, 0, 1, 3, 3, 0, 3, 4, 1, 0, 2, 0, 1, 0, 3, 0, 4, 0, 3, 4, 0, 3, 1, 4, 0, 0, 3, 0, 3, 0, 2, 2, 1, 2, 3, 1, 2, 4, 2, 2, 3, 2, 3, 0, 0, 3, 2, 0, 1, 4, 0, 4, 3, 2, 1, 3, 0, 0, 2, 2, 4, 1, 0, 0, 4, 2, 1, 0, 3, 0, 2, 2, 2, 1, 0, 3, 2, 1, 4, 2, 4, 4, 2, 0, 4, 2, 0, 3, 0, 1, 2, 3, 3, 2, 0, 0, 4, 2, 1, 3, 4, 2, 4, 3, 4, 2, 4, 1, 4, 3, 3, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 3, 1, 0, 0, 2, 4, 1, 0, 3, 0, 0, 1, 4, 3, 0, 4, 2, 3]
pubkeycol650 = [0, 0, 4, 0, 1, 2, 4, 3, 3, 4, 2, 0, 3, 4, 3, 1, 1, 3, 3, 4, 1, 0, 2, 0, 1, 3, 2, 4, 1, 4, 2, 4, 0, 1, 0, 0, 2, 3, 1, 1, 1, 4, 0, 4, 3, 2, 3, 1, 1, 3, 1, 1, 0, 3, 1, 3, 2, 4, 4, 4, 2, 4, 0, 4, 0, 1, 3, 0, 0, 3, 0, 2, 1, 1, 4, 0, 3, 4, 1, 1, 0, 0, 2, 4, 2, 4, 0, 1, 4, 2, 4, 4, 1, 1, 0, 2, 4, 3, 3, 4, 1, 3, 1, 1, 4, 3, 0, 3, 2, 4, 0, 0, 3, 3, 0, 0, 0, 0, 2, 2, 3, 4, 0, 2, 2, 2, 2, 4, 0, 1, 2, 0, 1, 4, 2, 1, 0, 4, 0, 3, 3, 2, 4, 2, 4, 1, 2, 2, 3, 4, 4, 4, 3, 1, 3, 1, 0, 3, 2, 3, 3, 1, 2, 2, 4, 3, 3, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 3, 2, 2, 2, 2, 1, 1, 1, 4, 4, 0, 0, 2, 3, 3, 1, 2, 3, 4, 1, 0, 2, 4, 2, 3, 2, 4, 0, 0, 1, 2, 1, 2, 2, 4, 1, 2, 1, 3, 1, 0, 1, 0, 2, 1, 1, 1, 0, 4, 1, 1, 1, 4, 2, 3, 4, 2, 3, 3, 4, 1, 0, 3, 1, 3, 0, 0, 3, 1, 1, 4, 4, 0, 1, 0, 4, 0, 3, 1, 1, 1, 4, 4, 1, 2, 0, 3, 1, 1, 0, 0, 1, 4, 4, 0, 3, 2, 4, 1, 3, 1, 0, 4, 2, 3, 1, 4, 0, 1, 4, 1, 4, 3, 3, 1, 0, 4, 2, 3, 1, 2, 1, 4, 3, 3, 3, 4, 1, 0, 4, 3, 0, 0, 1, 2, 2, 4, 1, 1, 4, 1, 0, 4, 4, 0, 1, 4, 0, 3, 2, 3, 1, 0, 4, 2, 0, 1, 0, 3, 1, 3, 0, 1, 3, 0, 4, 1, 1, 3, 3, 2, 1, 4, 4, 1, 0, 4, 0, 3, 2, 0, 1, 1, 0, 1, 0, 2, 1, 3, 3, 0, 4, 0, 1, 2, 2, 0, 1, 3, 4, 0, 2, 4, 0, 4, 3, 4, 4, 3, 1, 4, 3, 1, 3, 4, 0, 0, 4, 2, 3, 3]
pubkeycol651 = [1, 1, 0, 3, 4, 2, 4, 3, 2, 1, 0, 0, 4, 0, 2, 2, 4, 4, 3, 2, 0, 0, 2, 4, 1, 1, 4, 1, 2, 2, 3, 2, 0, 2, 2, 3, 4, 4, 0, 3, 0, 1, 0, 0, 1, 1, 1, 3, 0, 3, 2, 1, 2, 1, 0, 3, 3, 1, 3, 4, 1, 0, 3, 1, 2, 1, 4, 4, 4, 2, 2, 2, 3, 0, 3, 1, 4, 1, 4, 1, 3, 3, 2, 1, 4, 4, 0, 3, 1, 0, 0, 2, 0, 1, 1, 2, 4, 0, 2, 2, 2, 2, 4, 1, 2, 4, 1, 4, 0, 4, 4, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 4, 4, 4, 2, 3, 2, 1, 4, 2, 1, 1, 0, 3, 0, 4, 3, 1, 2, 3, 1, 3, 4, 3, 2, 4, 0, 4, 0, 2, 2, 2, 4, 2, 3, 2, 1, 2, 1, 4, 2, 4, 4, 3, 0, 0, 1, 2, 3, 2, 4, 0, 0, 0, 4, 2, 1, 1, 3, 4, 4, 1, 4, 1, 0, 1, 2, 2, 2, 1, 3, 3, 0, 4, 4, 4, 1, 0, 2, 4, 1, 1, 1, 3, 4, 4, 3, 1, 4, 2, 2, 4, 4, 3, 1, 0, 0, 1, 4, 2, 1, 0, 3, 4, 0, 3, 2, 1, 4, 2, 1, 2, 0, 4, 3, 1, 1, 3, 2, 4, 0, 2, 2, 1, 2, 1, 1, 4, 4, 1, 4, 4, 1, 2, 3, 0, 4, 3, 4, 4, 0, 4, 0, 1, 3, 4, 1, 4, 3, 3, 3, 4, 1, 2, 1, 4, 0, 2, 3, 3, 4, 0, 3, 3, 3, 0, 2, 1, 0, 2, 1, 2, 1, 0, 4, 3, 3, 2, 0, 2, 0, 4, 1, 3, 0, 1, 2, 0, 3, 1, 2, 4, 3, 0, 2, 3, 0, 1, 4, 4, 4, 3, 4, 2, 4, 0, 1, 3, 4, 1, 1, 1, 0, 1, 0, 0, 4, 2, 4, 4, 2, 3, 3, 0, 0, 3, 1, 2, 3, 3, 2, 0, 2, 0, 0, 4, 1, 4, 1, 2, 4, 2, 2, 2, 3, 1, 1, 4, 2, 1, 2, 0, 0, 1, 2, 2, 1, 4, 2, 0, 1, 0, 4, 2, 1, 2, 0, 2, 0, 4, 4, 2, 0, 4, 0, 0, 2, 2, 0]
pubkeycol652 = [0, 2, 0, 4, 1, 0, 3, 0, 3, 3, 3, 2, 3, 1, 2, 1, 4, 0, 1, 1, 2, 4, 4, 3, 2, 0, 3, 4, 2, 0, 1, 2, 2, 0, 2, 3, 3, 2, 0, 1, 3, 1, 4, 1, 0, 4, 3, 0, 0, 2, 2, 2, 3, 1, 4, 4, 4, 0, 2, 2, 3, 0, 2, 3, 0, 3, 2, 4, 1, 3, 2, 1, 0, 4, 1, 2, 4, 1, 4, 2, 2, 0, 0, 2, 3, 2, 0, 1, 2, 3, 2, 1, 1, 0, 1, 0, 0, 0, 4, 4, 3, 4, 3, 0, 0, 0, 3, 0, 1, 0, 0, 3, 1, 1, 1, 2, 1, 2, 2, 0, 3, 2, 2, 4, 0, 4, 3, 2, 0, 0, 4, 2, 1, 0, 1, 4, 1, 1, 2, 3, 3, 1, 3, 2, 4, 4, 4, 1, 0, 3, 1, 0, 0, 4, 4, 0, 2, 4, 0, 3, 4, 3, 0, 2, 4, 0, 3, 3, 0, 4, 1, 0, 4, 3, 0, 4, 4, 4, 0, 1, 3, 1, 3, 2, 4, 3, 3, 3, 2, 0, 0, 2, 4, 2, 4, 3, 0, 1, 4, 0, 0, 1, 1, 1, 3, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 4, 2, 0, 2, 3, 1, 1, 1, 3, 2, 3, 0, 3, 0, 3, 0, 2, 4, 0, 2, 4, 4, 2, 2, 0, 4, 2, 4, 0, 4, 4, 2, 1, 1, 3, 1, 4, 1, 0, 3, 1, 4, 2, 0, 0, 2, 2, 2, 3, 1, 4, 4, 1, 0, 1, 4, 3, 4, 3, 2, 3, 0, 3, 4, 1, 4, 4, 1, 0, 2, 0, 2, 1, 3, 4, 3, 0, 1, 1, 0, 4, 2, 4, 1, 4, 4, 0, 4, 0, 2, 0, 2, 0, 2, 1, 1, 3, 1, 4, 1, 0, 1, 1, 2, 3, 1, 2, 3, 3, 0, 1, 4, 2, 0, 3, 1, 3, 3, 3, 4, 4, 4, 1, 3, 0, 2, 3, 1, 2, 0, 0, 2, 4, 2, 4, 3, 1, 1, 2, 0, 4, 3, 1, 2, 2, 3, 2, 1, 1, 1, 4, 0, 2, 1, 2, 3, 0, 3, 2, 2, 3, 3, 0, 1, 4, 0, 0, 1, 3, 2, 2, 4, 1, 3, 4, 1, 2, 3, 4, 2, 2, 0]
pubkeycol653 = [2, 3, 4, 2, 3, 2, 1, 1, 4, 4, 2, 3, 4, 4, 0, 1, 3, 0, 3, 4, 1, 0, 1, 1, 4, 0, 3, 0, 1, 3, 3, 2, 3, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 3, 0, 3, 4, 3, 4, 4, 4, 3, 0, 1, 4, 3, 4, 2, 0, 3, 3, 4, 2, 0, 0, 3, 2, 1, 4, 3, 1, 4, 0, 0, 4, 3, 3, 1, 0, 3, 4, 3, 3, 4, 3, 4, 2, 4, 2, 1, 3, 3, 2, 2, 1, 0, 2, 1, 4, 2, 3, 1, 3, 2, 0, 0, 2, 3, 0, 4, 0, 2, 4, 2, 1, 4, 1, 2, 0, 1, 0, 4, 4, 2, 2, 0, 1, 0, 2, 4, 1, 3, 0, 4, 2, 1, 2, 1, 4, 0, 2, 2, 4, 1, 2, 2, 1, 0, 1, 0, 1, 2, 4, 0, 3, 4, 2, 2, 0, 4, 3, 0, 2, 4, 4, 0, 3, 2, 1, 0, 1, 1, 1, 1, 0, 3, 4, 2, 2, 0, 1, 3, 0, 4, 3, 0, 3, 1, 1, 3, 1, 3, 2, 0, 2, 4, 0, 0, 4, 4, 1, 2, 4, 0, 4, 2, 3, 3, 2, 1, 0, 4, 2, 0, 4, 2, 2, 0, 4, 1, 0, 3, 0, 1, 0, 3, 1, 4, 3, 4, 0, 2, 2, 3, 1, 2, 3, 3, 3, 0, 3, 0, 0, 1, 0, 4, 4, 2, 0, 4, 3, 0, 1, 1, 4, 3, 0, 1, 0, 2, 3, 0, 4, 2, 0, 0, 3, 0, 4, 2, 4, 4, 0, 1, 1, 2, 4, 3, 1, 2, 0, 2, 1, 3, 3, 3, 1, 3, 3, 4, 1, 0, 4, 1, 2, 4, 3, 2, 3, 2, 2, 2, 4, 3, 0, 4, 0, 1, 4, 2, 2, 4, 1, 2, 4, 4, 2, 3, 4, 3, 2, 3, 1, 1, 2, 2, 0, 2, 4, 1, 1, 4, 3, 4, 3, 2, 1, 3, 4, 3, 4, 4, 3, 3, 2, 1, 2, 2, 0, 1, 4, 1, 4, 3, 2, 1, 3, 4, 1, 1, 2, 3, 1, 1, 0, 3, 3, 0, 4, 2, 4, 2, 0, 2, 3, 1, 1, 0, 1, 2, 3, 1, 2, 3, 0, 1, 4, 3, 2, 0, 4, 2, 0, 3, 4, 2, 4, 2, 3]
pubkeycol654 = [0, 1, 1, 4, 3, 2, 2, 2, 3, 4, 3, 0, 0, 1, 1, 4, 4, 3, 4, 4, 0, 1, 3, 3, 3, 4, 1, 0, 1, 0, 4, 3, 2, 3, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 4, 1, 2, 0, 1, 4, 0, 3, 1, 4, 0, 0, 3, 1, 2, 1, 3, 1, 0, 2, 2, 2, 0, 1, 2, 3, 1, 3, 3, 4, 3, 4, 0, 1, 1, 3, 0, 4, 4, 0, 2, 1, 3, 1, 4, 0, 4, 1, 3, 2, 3, 2, 1, 2, 0, 4, 2, 0, 1, 0, 0, 1, 4, 1, 1, 1, 0, 4, 3, 2, 1, 4, 2, 3, 3, 4, 2, 4, 3, 4, 2, 0, 3, 1, 3, 0, 1, 4, 0, 4, 2, 0, 0, 0, 1, 0, 3, 1, 0, 3, 0, 0, 4, 1, 0, 3, 3, 0, 1, 3, 4, 4, 0, 2, 3, 3, 1, 3, 4, 2, 0, 0, 0, 2, 2, 2, 3, 3, 4, 2, 0, 0, 2, 4, 2, 0, 1, 3, 3, 0, 4, 1, 3, 3, 0, 1, 2, 0, 4, 4, 1, 0, 2, 0, 3, 4, 3, 0, 3, 1, 2, 2, 2, 0, 1, 4, 0, 4, 2, 3, 3, 0, 0, 0, 1, 3, 3, 3, 3, 2, 4, 0, 0, 1, 0, 3, 3, 4, 1, 3, 2, 3, 0, 0, 3, 1, 0, 3, 3, 2, 2, 1, 4, 3, 0, 2, 1, 0, 3, 4, 1, 1, 1, 2, 4, 4, 0, 1, 3, 0, 2, 3, 0, 4, 1, 4, 4, 0, 3, 1, 0, 0, 3, 2, 0, 0, 3, 1, 2, 4, 1, 1, 3, 3, 3, 2, 1, 2, 1, 2, 3, 1, 2, 3, 4, 0, 1, 4, 2, 1, 0, 1, 1, 1, 0, 1, 1, 3, 1, 2, 3, 0, 1, 3, 1, 3, 0, 1, 4, 1, 3, 3, 0, 4, 1, 3, 3, 4, 3, 4, 0, 1, 3, 3, 4, 0, 1, 3, 3, 3, 2, 3, 4, 4, 3, 4, 1, 4, 0, 2, 2, 0, 0, 4, 3, 3, 0, 0, 0, 3, 0, 2, 4, 4, 3, 1, 0, 0, 2, 0, 2, 0, 2, 4, 2, 1, 4, 1, 4, 0, 2, 0, 3, 4, 1, 4, 1, 4, 1, 1, 1, 3, 0, 0, 4, 3]
pubkeycol655 = [3, 4, 0, 2, 3, 0, 0, 3, 1, 2, 0, 0, 0, 2, 0, 1, 4, 4, 4, 1, 1, 3, 1, 0, 2, 2, 0, 4, 2, 4, 4, 0, 0, 0, 4, 3, 0, 0, 4, 3, 4, 0, 4, 4, 1, 0, 3, 1, 2, 1, 2, 2, 2, 4, 0, 3, 4, 2, 3, 0, 0, 1, 2, 3, 4, 4, 2, 0, 3, 3, 3, 0, 4, 3, 1, 1, 2, 3, 0, 0, 4, 4, 4, 2, 2, 3, 1, 0, 2, 4, 3, 1, 0, 0, 1, 0, 1, 0, 3, 0, 3, 2, 1, 4, 0, 2, 3, 3, 1, 3, 0, 4, 3, 4, 0, 4, 3, 3, 2, 1, 2, 1, 2, 1, 4, 3, 2, 0, 0, 2, 3, 2, 2, 3, 3, 3, 0, 4, 1, 3, 0, 0, 4, 2, 2, 4, 0, 2, 0, 1, 3, 3, 3, 0, 0, 1, 0, 3, 0, 2, 2, 1, 0, 0, 0, 0, 2, 3, 3, 3, 2, 3, 1, 3, 3, 2, 1, 0, 2, 0, 1, 1, 3, 4, 0, 1, 3, 4, 4, 4, 2, 4, 3, 3, 4, 4, 4, 4, 2, 4, 4, 1, 1, 4, 2, 2, 1, 3, 1, 3, 1, 2, 2, 4, 2, 4, 1, 3, 0, 3, 3, 1, 4, 4, 0, 3, 1, 0, 4, 0, 4, 4, 2, 1, 2, 0, 3, 2, 1, 4, 1, 3, 4, 1, 2, 3, 2, 4, 2, 3, 0, 1, 0, 3, 1, 3, 2, 2, 2, 1, 4, 3, 3, 4, 3, 3, 0, 0, 1, 1, 2, 1, 3, 4, 1, 2, 0, 1, 1, 3, 0, 1, 4, 3, 3, 3, 2, 3, 1, 4, 4, 0, 1, 1, 2, 2, 3, 4, 1, 1, 3, 4, 0, 3, 4, 1, 1, 0, 1, 3, 3, 4, 1, 0, 4, 2, 3, 1, 3, 4, 0, 4, 3, 2, 1, 2, 1, 1, 3, 3, 2, 1, 3, 3, 3, 4, 1, 3, 3, 1, 3, 0, 4, 1, 0, 4, 3, 4, 1, 1, 4, 2, 3, 4, 0, 1, 1, 4, 4, 1, 0, 0, 1, 0, 1, 3, 3, 2, 2, 1, 3, 4, 4, 4, 4, 0, 0, 0, 3, 2, 0, 1, 4, 2, 1, 4, 1, 1, 0, 0, 2, 0, 2, 1, 2, 3, 2, 2, 2, 0]
pubkeycol656 = [4, 4, 2, 3, 2, 1, 1, 4, 1, 1, 4, 4, 1, 4, 1, 2, 4, 4, 4, 4, 4, 1, 2, 3, 3, 3, 0, 0, 0, 2, 1, 0, 0, 0, 3, 0, 2, 0, 2, 0, 4, 3, 0, 1, 0, 3, 4, 2, 1, 4, 2, 2, 4, 1, 1, 1, 0, 1, 1, 2, 1, 2, 3, 4, 4, 3, 2, 4, 4, 4, 2, 4, 0, 4, 1, 0, 1, 1, 0, 4, 3, 1, 1, 0, 1, 0, 0, 0, 1, 1, 4, 4, 2, 2, 2, 2, 2, 1, 2, 3, 3, 0, 2, 0, 4, 2, 2, 4, 0, 2, 4, 0, 0, 1, 2, 1, 3, 3, 4, 0, 1, 3, 2, 3, 4, 3, 3, 0, 1, 2, 4, 4, 4, 3, 0, 2, 0, 4, 0, 0, 0, 1, 2, 0, 4, 2, 4, 4, 1, 0, 1, 3, 2, 4, 1, 0, 2, 3, 1, 3, 2, 4, 1, 3, 0, 1, 4, 1, 0, 1, 1, 1, 4, 0, 2, 4, 2, 2, 2, 2, 4, 1, 4, 1, 2, 3, 3, 3, 4, 3, 2, 0, 3, 4, 3, 0, 4, 4, 3, 2, 0, 4, 4, 2, 3, 2, 3, 1, 3, 2, 4, 2, 4, 3, 3, 2, 0, 3, 2, 3, 2, 3, 4, 1, 4, 4, 3, 3, 0, 3, 3, 4, 2, 4, 0, 4, 0, 1, 0, 3, 3, 0, 0, 2, 4, 2, 0, 2, 1, 0, 3, 3, 4, 1, 1, 2, 0, 3, 3, 0, 4, 3, 0, 0, 2, 3, 3, 1, 2, 4, 3, 4, 1, 0, 0, 0, 0, 0, 1, 2, 0, 4, 3, 3, 1, 4, 1, 0, 2, 2, 0, 2, 0, 4, 1, 2, 3, 3, 4, 3, 4, 4, 2, 2, 1, 0, 1, 4, 1, 3, 0, 4, 2, 4, 2, 4, 3, 1, 1, 4, 3, 0, 1, 4, 2, 1, 0, 4, 1, 1, 2, 3, 1, 0, 3, 4, 1, 3, 4, 0, 2, 3, 4, 2, 4, 1, 1, 4, 4, 4, 3, 0, 3, 0, 2, 4, 2, 1, 0, 1, 0, 4, 4, 2, 1, 0, 2, 3, 2, 0, 2, 1, 4, 4, 2, 1, 3, 0, 3, 0, 4, 2, 4, 4, 1, 0, 2, 4, 3, 0, 0, 1, 0, 1, 1, 1, 3, 3, 0, 2]
pubkeycol657 = [0, 0, 2, 3, 3, 0, 1, 0, 3, 1, 4, 4, 0, 4, 2, 2, 1, 2, 1, 2, 3, 2, 0, 1, 1, 3, 2, 3, 1, 2, 4, 4, 4, 4, 1, 1, 4, 2, 4, 1, 2, 4, 4, 4, 4, 3, 3, 3, 2, 1, 0, 3, 1, 4, 4, 3, 1, 1, 0, 0, 1, 1, 2, 4, 4, 4, 4, 2, 0, 2, 1, 0, 0, 3, 2, 3, 4, 2, 4, 2, 3, 4, 2, 0, 4, 4, 1, 3, 3, 0, 0, 0, 4, 1, 4, 3, 3, 4, 2, 0, 1, 0, 4, 4, 2, 1, 4, 1, 4, 2, 2, 1, 1, 2, 4, 1, 0, 2, 4, 2, 2, 3, 0, 4, 4, 0, 0, 3, 2, 4, 3, 3, 2, 4, 2, 4, 0, 3, 1, 0, 3, 1, 0, 4, 4, 2, 3, 4, 0, 4, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 4, 0, 1, 0, 0, 1, 4, 4, 4, 4, 0, 3, 3, 0, 2, 3, 0, 3, 2, 2, 0, 3, 3, 2, 2, 0, 2, 1, 0, 1, 1, 4, 2, 3, 4, 4, 3, 4, 1, 3, 1, 0, 1, 0, 2, 3, 3, 0, 4, 4, 2, 4, 4, 0, 3, 1, 3, 0, 0, 2, 2, 2, 2, 4, 3, 2, 2, 1, 0, 3, 1, 0, 1, 4, 4, 4, 0, 0, 4, 0, 2, 3, 3, 4, 1, 3, 2, 3, 3, 0, 1, 4, 0, 4, 2, 3, 1, 3, 1, 0, 1, 0, 1, 2, 0, 3, 4, 1, 3, 2, 4, 0, 2, 0, 3, 0, 0, 2, 4, 1, 1, 2, 2, 4, 4, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 2, 0, 3, 3, 2, 4, 3, 4, 0, 4, 0, 2, 2, 1, 4, 0, 1, 4, 1, 3, 0, 2, 1, 2, 2, 0, 3, 3, 3, 4, 3, 2, 4, 4, 4, 1, 4, 4, 3, 3, 2, 4, 3, 3, 0, 0, 0, 2, 2, 3, 3, 3, 2, 4, 3, 0, 2, 2, 2, 0, 2, 3, 4, 0, 2, 0, 2, 2, 0, 1, 4, 2, 3, 1, 0, 1, 0, 3, 2, 0, 1, 2, 0, 4, 3, 1, 0, 0, 0, 0, 4, 1, 3, 2, 4, 0, 4]
pubkeycol658 = [2, 0, 0, 2, 3, 0, 3, 1, 3, 2, 4, 1, 3, 0, 1, 0, 3, 1, 3, 1, 1, 3, 1, 1, 1, 2, 2, 2, 1, 3, 1, 2, 3, 4, 4, 4, 3, 4, 4, 0, 2, 2, 3, 4, 3, 0, 2, 2, 1, 4, 2, 0, 3, 4, 3, 4, 2, 0, 3, 4, 0, 2, 2, 1, 4, 4, 0, 0, 2, 0, 4, 3, 3, 2, 1, 2, 4, 1, 1, 2, 2, 4, 0, 2, 0, 1, 3, 3, 1, 0, 4, 0, 0, 4, 2, 0, 2, 0, 3, 3, 4, 1, 0, 3, 4, 0, 4, 4, 0, 3, 3, 0, 0, 0, 1, 3, 0, 0, 2, 2, 0, 1, 0, 4, 2, 4, 2, 4, 3, 0, 3, 4, 2, 2, 1, 2, 3, 4, 3, 0, 3, 0, 3, 0, 3, 1, 0, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 4, 3, 4, 1, 3, 3, 3, 0, 2, 2, 0, 4, 4, 2, 3, 2, 4, 3, 4, 4, 4, 2, 4, 1, 2, 4, 0, 1, 0, 0, 2, 0, 4, 3, 1, 0, 1, 4, 2, 0, 1, 0, 4, 1, 1, 0, 0, 4, 1, 2, 0, 1, 0, 1, 4, 2, 1, 2, 3, 3, 0, 3, 1, 2, 1, 4, 3, 0, 0, 0, 4, 1, 3, 4, 2, 3, 2, 0, 3, 0, 3, 4, 0, 1, 1, 1, 2, 4, 3, 4, 0, 3, 0, 2, 2, 1, 1, 0, 2, 4, 3, 3, 3, 0, 0, 1, 0, 3, 3, 0, 2, 2, 4, 2, 4, 2, 3, 3, 0, 3, 1, 4, 4, 2, 4, 3, 4, 3, 1, 1, 2, 0, 4, 3, 0, 2, 2, 4, 4, 0, 0, 1, 0, 0, 3, 2, 4, 4, 1, 1, 4, 0, 0, 4, 2, 3, 1, 0, 3, 3, 4, 4, 0, 0, 0, 1, 0, 3, 2, 3, 1, 4, 0, 2, 0, 4, 0, 0, 3, 3, 4, 2, 4, 1, 2, 2, 2, 4, 0, 4, 2, 4, 3, 3, 4, 1, 1, 2, 3, 1, 0, 2, 1, 0, 0, 2, 3, 3, 2, 2, 2, 2, 4, 1, 3, 4, 2, 0, 4, 4, 1, 1, 3, 3, 4, 4, 3, 2, 0, 1, 3, 3, 4, 0, 3, 3, 0, 0, 1, 0, 2, 0, 4]
pubkeycol659 = [1, 3, 0, 4, 0, 2, 2, 3, 3, 4, 1, 2, 1, 3, 3, 1, 1, 1, 4, 2, 0, 4, 2, 3, 2, 0, 3, 4, 3, 4, 4, 0, 4, 4, 0, 2, 2, 1, 0, 1, 2, 4, 4, 1, 1, 3, 4, 4, 2, 1, 0, 3, 1, 0, 2, 3, 3, 3, 4, 4, 0, 2, 2, 3, 0, 4, 0, 1, 1, 3, 1, 4, 3, 0, 4, 3, 1, 4, 4, 3, 4, 4, 1, 4, 3, 1, 0, 4, 3, 3, 2, 3, 3, 4, 1, 0, 4, 2, 3, 4, 3, 1, 1, 4, 1, 0, 2, 3, 1, 1, 1, 1, 2, 4, 1, 1, 2, 4, 3, 0, 1, 1, 4, 3, 3, 1, 2, 0, 3, 2, 2, 0, 1, 4, 2, 3, 2, 4, 4, 0, 4, 0, 1, 3, 1, 1, 4, 1, 4, 4, 4, 0, 2, 0, 2, 0, 0, 2, 0, 4, 3, 3, 2, 2, 0, 1, 1, 1, 0, 0, 3, 4, 3, 1, 2, 2, 4, 1, 2, 3, 2, 1, 4, 1, 0, 0, 3, 2, 1, 1, 4, 0, 3, 0, 2, 1, 4, 1, 0, 2, 0, 4, 4, 3, 2, 1, 3, 0, 3, 2, 4, 1, 2, 0, 0, 0, 2, 1, 4, 0, 3, 4, 2, 1, 4, 1, 4, 3, 3, 1, 2, 2, 4, 0, 0, 2, 0, 2, 3, 3, 4, 3, 0, 0, 4, 3, 4, 0, 3, 2, 4, 3, 1, 1, 2, 3, 0, 4, 2, 0, 1, 0, 1, 0, 2, 4, 3, 0, 1, 2, 1, 3, 2, 3, 4, 0, 0, 3, 2, 4, 0, 3, 4, 3, 0, 0, 1, 4, 2, 4, 4, 2, 1, 4, 3, 1, 0, 1, 3, 4, 3, 3, 0, 4, 2, 1, 4, 0, 0, 2, 4, 3, 4, 2, 4, 1, 4, 1, 0, 0, 2, 3, 3, 1, 0, 3, 3, 2, 2, 1, 3, 1, 1, 4, 0, 4, 1, 3, 0, 0, 2, 2, 4, 0, 2, 3, 3, 1, 2, 3, 3, 2, 1, 1, 1, 3, 0, 1, 0, 4, 1, 0, 2, 4, 3, 3, 2, 2, 0, 3, 1, 4, 1, 4, 1, 0, 4, 0, 4, 4, 3, 0, 0, 1, 3, 0, 3, 0, 2, 3, 0, 4, 2, 0, 4, 4, 3, 0, 3, 2]
pubkeycol660 = [1, 2, 1, 3, 2, 3, 2, 4, 0, 1, 0, 3, 1, 2, 1, 3, 3, 4, 0, 1, 3, 1, 4, 0, 3, 3, 2, 1, 3, 1, 0, 4, 3, 0, 0, 3, 1, 1, 4, 4, 1, 1, 4, 1, 0, 1, 4, 2, 3, 3, 1, 4, 4, 3, 1, 0, 1, 3, 2, 4, 1, 4, 3, 1, 2, 4, 1, 2, 0, 4, 1, 1, 3, 4, 4, 1, 2, 3, 2, 0, 4, 2, 2, 2, 3, 2, 1, 1, 4, 0, 4, 2, 1, 1, 2, 2, 4, 3, 2, 2, 1, 4, 0, 0, 4, 1, 0, 3, 1, 3, 0, 0, 3, 4, 2, 3, 1, 4, 0, 2, 0, 2, 0, 1, 2, 1, 2, 4, 0, 1, 4, 2, 2, 3, 2, 1, 3, 1, 2, 2, 1, 0, 0, 2, 4, 4, 3, 0, 2, 2, 2, 1, 3, 4, 4, 1, 2, 2, 4, 2, 3, 0, 4, 1, 0, 0, 0, 2, 3, 2, 1, 0, 3, 2, 1, 3, 1, 1, 3, 2, 4, 3, 0, 3, 3, 0, 3, 4, 1, 3, 3, 1, 1, 4, 1, 2, 1, 0, 4, 1, 1, 1, 2, 3, 0, 3, 4, 4, 2, 2, 1, 3, 1, 1, 1, 4, 4, 0, 2, 0, 2, 2, 3, 3, 0, 3, 1, 0, 1, 2, 1, 4, 4, 3, 4, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 3, 4, 2, 0, 1, 3, 2, 0, 2, 3, 4, 2, 3, 1, 4, 0, 4, 0, 1, 2, 0, 2, 2, 0, 2, 4, 0, 3, 2, 4, 2, 1, 0, 0, 2, 1, 2, 1, 3, 1, 3, 3, 3, 3, 2, 2, 0, 3, 1, 0, 3, 1, 3, 1, 2, 0, 4, 1, 2, 4, 0, 1, 0, 3, 2, 1, 0, 0, 2, 0, 4, 2, 4, 2, 3, 4, 2, 1, 2, 2, 2, 3, 4, 2, 3, 0, 1, 3, 3, 2, 2, 4, 1, 4, 2, 0, 0, 1, 0, 0, 0, 4, 1, 4, 0, 2, 3, 1, 2, 4, 2, 2, 0, 3, 1, 3, 3, 1, 1, 3, 0, 1, 1, 4, 2, 3, 1, 0, 3, 2, 2, 2, 2, 2, 4, 0, 3, 0, 3, 2, 4, 2, 2, 4, 0, 3, 4, 0, 3, 4, 0, 2, 2]
pubkeycol661 = [3, 1, 4, 4, 3, 2, 1, 1, 3, 1, 2, 3, 0, 2, 0, 0, 0, 3, 2, 2, 3, 2, 1, 3, 3, 3, 2, 3, 2, 4, 2, 3, 1, 0, 4, 2, 1, 4, 4, 0, 3, 3, 4, 1, 2, 4, 1, 0, 3, 4, 0, 3, 2, 4, 4, 1, 1, 4, 4, 1, 0, 3, 2, 1, 1, 2, 3, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 3, 0, 0, 0, 4, 4, 2, 3, 0, 0, 3, 1, 2, 2, 1, 4, 3, 1, 0, 0, 2, 4, 0, 2, 3, 3, 4, 4, 0, 1, 0, 2, 0, 1, 4, 0, 0, 0, 1, 4, 3, 0, 1, 3, 4, 3, 0, 4, 4, 1, 3, 3, 0, 3, 2, 4, 3, 2, 0, 4, 1, 1, 1, 2, 0, 3, 2, 1, 2, 1, 4, 1, 3, 1, 4, 4, 0, 2, 3, 1, 2, 0, 1, 4, 3, 3, 0, 3, 1, 2, 2, 1, 0, 4, 2, 1, 0, 0, 3, 1, 4, 3, 0, 4, 0, 4, 4, 2, 2, 4, 4, 3, 0, 0, 0, 0, 2, 3, 0, 4, 3, 0, 1, 2, 4, 3, 3, 2, 1, 2, 0, 3, 3, 3, 3, 0, 3, 3, 2, 3, 1, 2, 1, 2, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 3, 3, 2, 3, 1, 2, 3, 3, 0, 1, 4, 2, 3, 2, 2, 1, 4, 1, 4, 3, 2, 2, 2, 4, 0, 3, 4, 1, 3, 1, 1, 4, 1, 4, 3, 1, 4, 2, 3, 2, 0, 1, 2, 3, 2, 2, 3, 3, 0, 3, 3, 3, 0, 2, 1, 4, 2, 1, 3, 0, 0, 2, 3, 3, 1, 4, 4, 3, 1, 4, 4, 2, 0, 2, 1, 3, 3, 0, 2, 2, 1, 2, 0, 4, 1, 3, 1, 1, 4, 1, 0, 2, 1, 3, 2, 2, 3, 4, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 4, 1, 1, 3, 2, 2, 4, 3, 0, 0, 1, 3, 1, 1, 2, 3, 1, 1, 4, 0, 4, 3, 1, 0, 4, 3, 4, 4, 4, 3, 4, 1, 2, 2, 0, 4, 3, 1, 1, 2, 4, 1, 2, 3, 3, 1, 1, 2, 0, 2, 1, 4, 3, 2, 3, 4]
pubkeycol662 = [2, 4, 0, 2, 3, 1, 3, 1, 0, 0, 0, 4, 3, 3, 1, 4, 2, 4, 1, 4, 1, 3, 3, 4, 1, 2, 2, 1, 4, 3, 0, 1, 4, 2, 1, 0, 3, 0, 1, 4, 4, 3, 4, 4, 3, 4, 2, 4, 1, 0, 1, 3, 1, 2, 2, 0, 1, 1, 2, 2, 0, 4, 1, 0, 2, 4, 0, 0, 0, 2, 3, 4, 2, 2, 0, 1, 3, 2, 0, 2, 2, 3, 4, 2, 0, 4, 0, 3, 1, 0, 3, 2, 4, 2, 3, 4, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 3, 1, 2, 2, 4, 1, 1, 4, 3, 1, 1, 0, 2, 4, 0, 0, 4, 2, 2, 3, 0, 4, 0, 0, 4, 3, 1, 1, 0, 0, 4, 3, 0, 2, 0, 3, 4, 4, 0, 4, 3, 1, 2, 1, 3, 3, 0, 0, 2, 4, 2, 1, 3, 2, 0, 3, 0, 0, 3, 0, 0, 3, 2, 3, 2, 4, 1, 4, 4, 3, 3, 2, 0, 2, 1, 1, 4, 3, 0, 2, 0, 4, 3, 3, 1, 2, 2, 4, 3, 0, 4, 2, 0, 4, 1, 1, 4, 3, 0, 1, 0, 4, 1, 2, 4, 1, 3, 1, 3, 2, 2, 1, 3, 1, 3, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 3, 2, 4, 0, 0, 2, 0, 3, 0, 0, 0, 4, 4, 0, 1, 4, 0, 3, 0, 1, 1, 0, 3, 2, 3, 2, 2, 3, 2, 4, 2, 0, 1, 2, 2, 2, 1, 4, 4, 3, 4, 4, 3, 3, 3, 2, 3, 0, 3, 1, 3, 1, 0, 2, 3, 1, 4, 4, 4, 0, 4, 1, 4, 2, 2, 2, 3, 0, 0, 2, 4, 0, 3, 3, 4, 0, 4, 0, 1, 3, 2, 3, 4, 3, 2, 4, 2, 4, 4, 2, 2, 4, 0, 0, 2, 1, 0, 0, 4, 3, 4, 3, 0, 3, 2, 3, 0, 2, 2, 0, 0, 3, 1, 1, 1, 4, 3, 4, 2, 3, 3, 4, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 4, 2, 2, 4, 0, 2, 0, 1, 1, 2, 3, 1, 0, 2, 0, 1, 4, 4, 1, 1, 1, 3, 0, 3, 0, 0, 4, 0, 0, 3, 0, 4, 0, 0, 1]
pubkeycol663 = [1, 0, 0, 2, 4, 1, 3, 4, 0, 1, 1, 3, 3, 1, 0, 3, 3, 3, 2, 0, 1, 0, 2, 1, 4, 4, 0, 2, 0, 1, 3, 2, 0, 2, 3, 1, 2, 3, 3, 0, 4, 3, 1, 0, 4, 2, 0, 2, 3, 3, 1, 0, 1, 2, 4, 2, 4, 1, 2, 3, 1, 2, 2, 3, 2, 0, 0, 0, 3, 4, 1, 1, 4, 2, 4, 3, 3, 0, 0, 3, 2, 4, 3, 0, 3, 2, 4, 2, 2, 4, 0, 1, 0, 1, 4, 2, 0, 2, 4, 1, 3, 3, 2, 0, 1, 0, 0, 1, 0, 3, 0, 2, 3, 1, 0, 3, 2, 1, 1, 1, 0, 1, 1, 2, 4, 2, 0, 1, 2, 4, 3, 2, 4, 0, 3, 4, 4, 3, 0, 4, 3, 0, 4, 1, 1, 0, 3, 0, 3, 3, 1, 1, 4, 2, 0, 3, 1, 2, 4, 2, 4, 1, 1, 1, 1, 0, 1, 3, 3, 0, 4, 3, 4, 3, 1, 2, 0, 0, 3, 0, 3, 1, 1, 3, 3, 2, 3, 2, 0, 1, 4, 1, 4, 2, 2, 4, 2, 2, 2, 0, 4, 1, 2, 3, 3, 4, 3, 0, 1, 3, 1, 4, 1, 1, 4, 2, 0, 3, 4, 4, 0, 3, 3, 1, 0, 2, 1, 1, 1, 0, 4, 3, 1, 2, 1, 2, 3, 4, 3, 3, 4, 3, 3, 0, 3, 0, 4, 0, 1, 4, 0, 2, 3, 2, 0, 3, 3, 2, 2, 1, 0, 4, 1, 3, 0, 0, 1, 0, 2, 1, 1, 3, 3, 1, 0, 4, 2, 4, 1, 3, 3, 3, 4, 1, 0, 0, 0, 1, 4, 2, 3, 3, 4, 2, 0, 3, 4, 3, 0, 4, 3, 3, 1, 4, 1, 3, 1, 2, 1, 0, 4, 2, 2, 1, 4, 0, 3, 2, 4, 4, 3, 3, 0, 2, 1, 0, 2, 1, 2, 0, 0, 3, 4, 1, 3, 2, 3, 2, 2, 3, 2, 3, 3, 1, 2, 1, 4, 1, 3, 0, 3, 2, 2, 2, 4, 0, 0, 1, 2, 4, 2, 3, 1, 2, 1, 3, 1, 4, 4, 4, 4, 3, 2, 4, 3, 3, 2, 1, 2, 1, 3, 3, 4, 1, 1, 1, 2, 2, 3, 4, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0]
pubkeycol664 = [4, 4, 1, 3, 1, 4, 1, 0, 2, 4, 0, 2, 3, 4, 4, 0, 1, 2, 3, 1, 0, 3, 1, 3, 3, 0, 2, 4, 0, 2, 4, 2, 0, 4, 2, 3, 2, 0, 0, 2, 1, 4, 3, 4, 3, 0, 0, 3, 3, 3, 3, 3, 2, 0, 4, 0, 2, 3, 1, 0, 0, 3, 1, 0, 1, 0, 3, 2, 0, 3, 3, 4, 4, 2, 4, 3, 3, 4, 0, 2, 4, 3, 3, 1, 4, 0, 3, 0, 0, 0, 2, 0, 3, 1, 3, 1, 1, 4, 3, 3, 2, 1, 2, 4, 0, 2, 3, 4, 2, 2, 0, 0, 2, 1, 3, 4, 3, 0, 3, 0, 2, 4, 4, 3, 0, 1, 0, 0, 1, 2, 0, 3, 4, 3, 2, 3, 4, 3, 2, 2, 4, 1, 1, 4, 1, 4, 2, 0, 4, 3, 3, 1, 1, 1, 4, 3, 2, 2, 3, 4, 4, 2, 4, 2, 3, 2, 3, 3, 4, 1, 4, 0, 4, 1, 2, 4, 2, 3, 2, 1, 4, 1, 2, 0, 3, 0, 3, 1, 1, 1, 3, 3, 3, 3, 2, 4, 4, 4, 1, 4, 1, 4, 0, 3, 2, 2, 0, 4, 0, 2, 4, 3, 2, 0, 1, 2, 1, 0, 4, 2, 2, 3, 1, 2, 2, 2, 2, 2, 4, 1, 1, 2, 3, 1, 3, 1, 0, 2, 0, 3, 3, 0, 4, 4, 1, 3, 1, 1, 3, 4, 1, 3, 1, 2, 4, 2, 0, 2, 1, 1, 1, 1, 2, 0, 4, 0, 0, 0, 4, 3, 2, 3, 4, 0, 0, 1, 4, 4, 2, 4, 2, 0, 1, 4, 0, 0, 1, 2, 3, 3, 4, 4, 3, 4, 4, 1, 3, 2, 4, 3, 0, 2, 1, 0, 2, 0, 2, 2, 0, 3, 3, 1, 0, 2, 0, 1, 1, 0, 3, 3, 1, 1, 1, 0, 4, 1, 0, 0, 0, 0, 1, 1, 4, 2, 2, 3, 1, 4, 2, 1, 2, 2, 4, 3, 1, 1, 1, 1, 4, 1, 3, 4, 0, 4, 2, 1, 4, 0, 4, 4, 2, 4, 2, 3, 1, 2, 4, 1, 3, 2, 2, 3, 1, 3, 1, 4, 1, 3, 1, 4, 4, 4, 0, 3, 3, 2, 2, 3, 0, 1, 1, 3, 4, 2, 0, 0, 2, 3, 2, 1]
pubkeycol665 = [4, 0, 2, 0, 0, 2, 0, 4, 0, 3, 1, 1, 0, 2, 0, 2, 2, 4, 4, 0, 2, 1, 3, 1, 4, 4, 0, 3, 4, 1, 0, 0, 3, 1, 1, 4, 0, 2, 3, 0, 2, 2, 2, 4, 1, 4, 0, 4, 1, 2, 4, 4, 0, 0, 1, 3, 2, 4, 0, 4, 4, 1, 1, 0, 4, 4, 3, 3, 3, 3, 2, 4, 0, 3, 1, 0, 2, 2, 1, 1, 1, 4, 1, 4, 2, 3, 2, 3, 3, 0, 2, 3, 2, 1, 1, 4, 2, 1, 0, 4, 3, 1, 0, 3, 2, 3, 4, 2, 3, 2, 0, 4, 2, 4, 4, 2, 0, 0, 3, 0, 2, 4, 1, 0, 1, 1, 3, 4, 4, 0, 0, 2, 2, 3, 4, 4, 2, 0, 1, 2, 4, 2, 2, 1, 2, 4, 2, 3, 1, 0, 3, 0, 0, 2, 2, 1, 1, 4, 0, 0, 0, 1, 0, 4, 2, 4, 3, 3, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 0, 4, 4, 0, 4, 3, 3, 0, 1, 4, 2, 0, 0, 1, 3, 3, 2, 4, 0, 4, 1, 0, 3, 2, 1, 4, 4, 1, 2, 3, 3, 0, 2, 3, 1, 2, 0, 0, 4, 0, 4, 2, 4, 3, 2, 1, 3, 3, 4, 4, 1, 3, 1, 2, 4, 1, 1, 4, 3, 3, 1, 2, 4, 0, 3, 0, 3, 2, 4, 1, 3, 2, 2, 4, 1, 1, 4, 1, 3, 3, 1, 1, 2, 1, 3, 2, 2, 2, 0, 3, 4, 2, 1, 4, 1, 1, 1, 4, 3, 3, 0, 0, 1, 1, 2, 3, 2, 2, 2, 0, 1, 0, 0, 4, 4, 1, 4, 4, 1, 1, 4, 3, 4, 2, 1, 3, 2, 0, 0, 2, 0, 0, 0, 2, 3, 0, 3, 2, 4, 2, 2, 0, 0, 0, 1, 3, 1, 2, 0, 3, 3, 3, 2, 2, 2, 2, 3, 0, 2, 2, 2, 4, 1, 1, 1, 3, 0, 1, 4, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 3, 4, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 4, 3, 1, 3, 4, 0, 4, 1, 2, 4, 3, 1, 0, 4, 1, 4, 0, 2, 0, 1, 0, 4, 4, 3, 2, 0, 3, 4, 2, 2, 3]
pubkeycol666 = [3, 3, 0, 0, 1, 4, 1, 0, 3, 2, 4, 4, 3, 0, 3, 4, 2, 1, 0, 3, 4, 4, 0, 3, 2, 4, 3, 2, 0, 2, 2, 0, 4, 0, 2, 3, 0, 4, 4, 0, 4, 0, 0, 3, 3, 4, 1, 1, 0, 1, 3, 0, 4, 0, 4, 3, 4, 4, 1, 3, 3, 3, 2, 1, 0, 4, 1, 4, 0, 2, 2, 3, 4, 1, 0, 4, 0, 0, 4, 4, 2, 4, 4, 2, 1, 2, 0, 3, 0, 0, 1, 2, 0, 1, 1, 2, 4, 3, 1, 2, 1, 0, 2, 3, 2, 3, 1, 0, 3, 2, 0, 3, 0, 2, 2, 4, 4, 4, 3, 4, 3, 3, 0, 2, 0, 1, 1, 1, 1, 1, 1, 3, 3, 0, 1, 1, 0, 0, 1, 0, 4, 1, 4, 2, 0, 2, 3, 2, 0, 3, 2, 0, 4, 4, 3, 0, 4, 3, 2, 1, 1, 0, 3, 2, 3, 0, 0, 4, 0, 4, 0, 2, 2, 3, 0, 0, 4, 2, 3, 2, 2, 3, 0, 3, 0, 4, 3, 3, 3, 3, 1, 4, 2, 3, 3, 4, 4, 3, 2, 3, 2, 1, 3, 4, 0, 2, 2, 2, 4, 2, 3, 3, 4, 2, 2, 1, 2, 2, 1, 1, 4, 0, 3, 1, 3, 4, 1, 3, 1, 0, 1, 1, 3, 2, 1, 2, 4, 1, 0, 3, 0, 0, 1, 0, 1, 2, 4, 0, 4, 0, 1, 3, 4, 4, 3, 3, 4, 0, 0, 2, 4, 1, 3, 3, 4, 0, 2, 1, 4, 3, 0, 2, 4, 2, 3, 2, 1, 2, 0, 1, 2, 4, 2, 4, 0, 2, 4, 4, 4, 4, 1, 3, 4, 4, 4, 2, 0, 4, 2, 4, 3, 2, 1, 3, 4, 2, 1, 0, 3, 2, 0, 0, 3, 0, 1, 0, 2, 3, 2, 0, 2, 3, 0, 2, 3, 0, 2, 1, 0, 1, 2, 3, 2, 2, 2, 1, 2, 3, 0, 2, 0, 3, 4, 2, 0, 1, 4, 3, 3, 0, 1, 1, 1, 0, 0, 4, 2, 0, 1, 2, 4, 1, 4, 1, 0, 1, 0, 0, 4, 2, 1, 4, 3, 2, 1, 2, 0, 4, 1, 4, 4, 1, 3, 3, 3, 3, 4, 0, 3, 2, 2, 2, 4, 1, 3, 4, 2, 3, 4, 4]
pubkeycol667 = [3, 4, 0, 3, 3, 0, 4, 0, 2, 4, 3, 1, 1, 3, 2, 1, 1, 0, 3, 4, 4, 4, 3, 2, 2, 0, 1, 0, 4, 0, 1, 2, 0, 0, 2, 4, 2, 2, 2, 4, 4, 3, 3, 4, 1, 0, 1, 0, 1, 1, 3, 2, 1, 2, 1, 2, 0, 2, 0, 1, 4, 3, 3, 2, 2, 0, 1, 0, 0, 0, 3, 2, 1, 2, 0, 1, 3, 0, 3, 0, 4, 4, 0, 0, 0, 2, 2, 4, 1, 4, 4, 2, 2, 3, 3, 2, 2, 1, 1, 3, 0, 2, 2, 2, 4, 1, 2, 0, 4, 0, 3, 1, 2, 1, 3, 4, 2, 3, 2, 0, 3, 2, 3, 0, 2, 3, 4, 2, 4, 4, 4, 1, 4, 3, 3, 2, 4, 1, 2, 0, 4, 3, 2, 0, 1, 0, 2, 2, 2, 1, 3, 2, 4, 2, 1, 1, 4, 3, 4, 1, 1, 0, 4, 1, 0, 3, 1, 2, 2, 2, 4, 0, 1, 2, 4, 3, 1, 2, 3, 2, 0, 3, 0, 1, 3, 0, 3, 0, 4, 1, 2, 3, 1, 2, 0, 0, 3, 3, 4, 3, 2, 3, 2, 3, 4, 4, 0, 2, 0, 4, 2, 0, 4, 0, 2, 3, 2, 4, 4, 1, 2, 4, 3, 3, 4, 1, 0, 4, 0, 3, 1, 0, 0, 0, 3, 0, 4, 1, 1, 4, 1, 2, 2, 4, 3, 0, 0, 1, 4, 1, 2, 1, 2, 3, 3, 0, 4, 1, 2, 4, 3, 4, 4, 1, 2, 2, 4, 2, 1, 2, 4, 2, 3, 1, 4, 4, 2, 3, 1, 4, 1, 2, 0, 1, 3, 3, 3, 2, 1, 2, 4, 3, 3, 1, 1, 2, 2, 2, 4, 1, 4, 2, 3, 0, 1, 3, 4, 1, 3, 4, 2, 4, 0, 4, 3, 4, 0, 3, 0, 3, 1, 0, 2, 4, 2, 0, 1, 0, 2, 4, 3, 4, 2, 1, 4, 3, 3, 4, 3, 4, 0, 1, 1, 2, 2, 2, 0, 2, 3, 3, 0, 3, 4, 2, 3, 2, 1, 4, 4, 1, 1, 4, 2, 2, 1, 4, 1, 1, 2, 2, 2, 4, 2, 4, 4, 0, 1, 4, 4, 4, 1, 1, 2, 3, 0, 3, 3, 4, 0, 1, 2, 2, 0, 0, 1, 2, 4, 1, 3, 2]
pubkeycol668 = [0, 1, 4, 0, 3, 2, 4, 2, 0, 2, 4, 2, 1, 3, 4, 0, 0, 1, 1, 1, 2, 2, 2, 0, 4, 2, 0, 4, 1, 3, 3, 0, 3, 3, 4, 3, 4, 0, 2, 1, 4, 3, 4, 4, 2, 1, 4, 3, 2, 0, 0, 0, 1, 3, 2, 1, 3, 2, 0, 2, 1, 4, 3, 4, 2, 0, 1, 0, 3, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 3, 4, 1, 2, 2, 0, 3, 4, 1, 4, 4, 3, 2, 2, 0, 1, 0, 2, 0, 2, 3, 1, 1, 0, 1, 0, 3, 2, 3, 2, 1, 4, 0, 4, 4, 0, 2, 0, 3, 1, 1, 1, 3, 3, 1, 3, 4, 4, 4, 2, 0, 0, 0, 0, 0, 1, 4, 4, 1, 0, 0, 0, 4, 1, 0, 2, 4, 1, 1, 3, 2, 1, 3, 3, 0, 3, 4, 1, 0, 4, 2, 3, 1, 1, 3, 3, 2, 3, 1, 3, 0, 3, 4, 1, 1, 2, 2, 0, 2, 1, 4, 0, 0, 3, 0, 3, 4, 0, 0, 2, 0, 0, 2, 1, 2, 4, 4, 0, 0, 3, 4, 1, 1, 3, 0, 4, 2, 2, 3, 3, 0, 0, 1, 2, 0, 1, 2, 3, 3, 3, 1, 0, 4, 3, 3, 3, 1, 0, 3, 3, 0, 3, 4, 1, 2, 2, 0, 0, 3, 0, 3, 4, 0, 1, 2, 0, 1, 0, 2, 2, 3, 4, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 4, 2, 3, 0, 3, 3, 2, 2, 0, 2, 4, 4, 1, 1, 4, 3, 2, 0, 1, 2, 4, 3, 2, 4, 0, 2, 2, 0, 3, 0, 3, 3, 0, 2, 3, 1, 0, 1, 4, 3, 4, 0, 3, 2, 0, 1, 1, 3, 1, 1, 3, 3, 2, 1, 3, 4, 3, 3, 4, 1, 1, 1, 1, 4, 0, 0, 0, 1, 0, 2, 3, 4, 3, 2, 4, 3, 1, 3, 2, 1, 4, 4, 0, 0, 2, 3, 2, 1, 2, 4, 4, 3, 3, 4, 0, 4, 4, 4, 2, 0, 2, 2, 3, 4, 4, 1, 1, 1, 4, 2, 0, 2, 3, 0, 4, 3, 0, 1, 4, 0, 1, 0, 2, 1, 4, 2, 2, 3, 2, 1, 0]
pubkeycol669 = [3, 3, 1, 0, 3, 2, 0, 4, 4, 2, 4, 1, 4, 0, 0, 3, 3, 3, 4, 1, 1, 4, 1, 1, 3, 3, 0, 1, 1, 1, 3, 3, 4, 3, 4, 0, 1, 0, 4, 0, 1, 4, 4, 1, 2, 3, 2, 4, 4, 3, 0, 3, 4, 0, 4, 1, 3, 0, 4, 2, 2, 4, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 3, 0, 0, 3, 0, 1, 4, 1, 2, 1, 3, 3, 4, 4, 4, 2, 4, 2, 2, 0, 3, 0, 2, 3, 4, 3, 4, 3, 0, 2, 0, 3, 0, 1, 4, 1, 4, 0, 4, 4, 4, 4, 2, 2, 1, 0, 4, 4, 4, 3, 0, 3, 2, 0, 4, 3, 2, 4, 1, 1, 1, 4, 1, 3, 4, 3, 0, 1, 3, 0, 3, 1, 2, 3, 0, 2, 1, 3, 3, 0, 1, 4, 1, 0, 3, 2, 4, 4, 1, 2, 3, 3, 1, 1, 4, 2, 2, 2, 1, 4, 0, 2, 0, 1, 4, 4, 0, 2, 3, 2, 0, 1, 0, 0, 1, 2, 2, 4, 0, 4, 2, 2, 3, 0, 2, 4, 4, 2, 2, 1, 1, 3, 4, 3, 2, 1, 3, 3, 4, 0, 4, 4, 2, 0, 0, 3, 1, 0, 2, 3, 3, 0, 1, 2, 0, 0, 1, 4, 3, 3, 3, 0, 4, 3, 3, 0, 3, 4, 0, 2, 2, 1, 2, 3, 4, 0, 2, 0, 3, 0, 0, 2, 1, 4, 1, 0, 1, 3, 3, 2, 3, 0, 3, 1, 0, 3, 2, 2, 1, 4, 2, 0, 0, 4, 0, 4, 4, 4, 1, 3, 2, 3, 3, 0, 4, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 4, 0, 3, 1, 1, 1, 2, 2, 3, 1, 2, 1, 3, 2, 1, 4, 1, 1, 2, 1, 2, 2, 4, 1, 3, 0, 2, 0, 0, 1, 3, 2, 4, 2, 0, 1, 3, 4, 4, 2, 1, 0, 0, 3, 0, 0, 3, 4, 3, 2, 4, 3, 0, 0, 2, 4, 4, 2, 1, 2, 0, 3, 2, 4, 4, 2, 3, 2, 3, 0, 4, 4, 1, 2, 1, 4, 0, 1, 0, 4, 2, 3, 3, 4, 4, 3, 2, 1, 2, 1, 0, 1, 3, 0, 3, 0, 4, 0, 3, 1, 1, 4, 3]
pubkeycol670 = [0, 0, 3, 0, 4, 1, 0, 1, 0, 1, 3, 0, 1, 0, 3, 1, 2, 4, 0, 2, 0, 0, 2, 2, 3, 1, 3, 4, 0, 3, 3, 4, 0, 3, 0, 0, 3, 0, 4, 1, 3, 2, 0, 4, 3, 0, 4, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 3, 0, 2, 2, 1, 0, 1, 0, 0, 2, 3, 3, 4, 3, 0, 4, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 3, 4, 1, 0, 2, 1, 4, 0, 0, 2, 3, 2, 4, 2, 3, 1, 1, 2, 3, 1, 4, 4, 2, 4, 2, 1, 4, 4, 1, 1, 4, 4, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 3, 4, 0, 4, 2, 1, 3, 1, 0, 0, 2, 2, 4, 0, 2, 0, 4, 3, 4, 1, 3, 0, 0, 3, 4, 1, 0, 4, 2, 2, 2, 4, 0, 1, 2, 4, 4, 2, 2, 2, 1, 1, 0, 1, 2, 3, 4, 1, 2, 3, 3, 1, 2, 2, 4, 1, 3, 0, 4, 3, 2, 4, 2, 0, 0, 0, 0, 3, 3, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 4, 2, 4, 0, 0, 4, 4, 4, 3, 2, 4, 3, 3, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 4, 3, 3, 1, 4, 0, 4, 1, 1, 4, 3, 3, 0, 4, 2, 0, 2, 1, 4, 3, 0, 0, 4, 1, 1, 0, 0, 0, 2, 3, 3, 1, 4, 4, 4, 0, 4, 1, 3, 2, 2, 0, 2, 3, 3, 2, 3, 1, 4, 1, 0, 4, 2, 3, 2, 2, 2, 1, 0, 1, 1, 2, 3, 3, 4, 1, 1, 2, 0, 4, 0, 0, 3, 3, 3, 4, 3, 3, 3, 0, 3, 2, 0, 1, 3, 3, 1, 3, 0, 2, 2, 0, 1, 1, 3, 1, 1, 2, 2, 1, 3, 3, 3, 1, 3, 0, 0, 0, 3, 3, 2, 2, 0, 0, 1, 0, 4, 3, 1, 3, 4, 2, 2, 4, 4, 0, 1, 2, 3, 3, 4, 1, 0, 4, 0, 0, 1, 0, 2, 3, 4, 0, 2, 2, 4, 1, 0, 3, 0, 3, 1, 4, 2, 4, 1, 1, 3, 2, 2, 1, 1, 3, 2, 3, 2]
pubkeycol671 = [2, 2, 0, 0, 3, 1, 4, 4, 1, 1, 2, 3, 3, 1, 2, 1, 4, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 3, 1, 4, 3, 1, 4, 4, 3, 3, 0, 1, 3, 2, 3, 3, 4, 1, 2, 3, 0, 2, 4, 4, 4, 4, 4, 2, 2, 3, 4, 2, 3, 1, 4, 1, 1, 2, 3, 4, 1, 2, 4, 0, 0, 4, 3, 3, 4, 0, 1, 1, 0, 0, 0, 1, 2, 3, 1, 0, 2, 4, 4, 2, 2, 3, 3, 2, 1, 3, 4, 3, 4, 3, 4, 2, 4, 3, 1, 1, 1, 2, 0, 4, 0, 0, 0, 4, 2, 3, 3, 2, 4, 3, 0, 4, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 3, 3, 3, 3, 2, 2, 3, 0, 0, 0, 2, 4, 4, 4, 2, 0, 4, 4, 4, 1, 4, 4, 3, 3, 1, 0, 1, 1, 1, 4, 2, 0, 4, 3, 2, 2, 2, 1, 1, 0, 1, 0, 3, 0, 1, 3, 4, 0, 1, 4, 4, 2, 4, 2, 3, 0, 2, 2, 4, 0, 3, 2, 3, 4, 2, 4, 2, 2, 4, 0, 1, 3, 4, 1, 1, 0, 4, 2, 2, 3, 1, 2, 1, 1, 4, 1, 4, 2, 2, 2, 0, 0, 4, 0, 4, 0, 4, 1, 1, 2, 4, 0, 1, 4, 4, 2, 3, 0, 3, 2, 2, 1, 1, 4, 3, 3, 4, 3, 0, 3, 1, 3, 3, 3, 2, 3, 2, 0, 1, 4, 4, 2, 0, 2, 3, 1, 4, 0, 0, 2, 0, 1, 4, 1, 0, 4, 0, 0, 0, 2, 2, 0, 3, 0, 2, 4, 3, 2, 1, 3, 3, 3, 1, 0, 3, 2, 0, 3, 2, 2, 1, 0, 2, 4, 0, 0, 1, 0, 1, 2, 4, 3, 3, 1, 1, 0, 3, 0, 4, 4, 2, 0, 3, 3, 0, 4, 4, 1, 1, 0, 2, 4, 4, 1, 0, 4, 4, 4, 3, 3, 3, 2, 4, 2, 2, 1, 2, 0, 4, 0, 4, 4, 4, 0, 1, 2, 4, 4, 2, 2, 0, 1, 0, 2, 4, 4, 4, 3, 0, 3, 1, 0, 1, 2, 2, 3, 4, 1, 1, 3, 3, 1, 1, 3, 2, 3, 2, 2, 2, 4, 4, 4, 2, 1]
pubkeycol672 = [4, 0, 1, 3, 4, 4, 2, 1, 3, 2, 1, 2, 0, 3, 1, 4, 3, 1, 2, 2, 0, 3, 0, 4, 0, 0, 3, 1, 2, 1, 0, 4, 0, 2, 4, 2, 2, 2, 1, 3, 1, 3, 3, 2, 2, 3, 2, 3, 4, 0, 0, 1, 3, 3, 2, 0, 2, 1, 3, 3, 1, 4, 3, 2, 3, 0, 0, 4, 4, 2, 2, 1, 0, 3, 2, 2, 0, 2, 0, 2, 2, 2, 3, 3, 2, 1, 2, 4, 3, 2, 2, 0, 3, 3, 2, 3, 0, 4, 2, 0, 4, 0, 0, 1, 0, 4, 1, 4, 1, 1, 3, 1, 1, 1, 2, 4, 2, 3, 0, 3, 2, 4, 1, 4, 4, 0, 2, 3, 0, 1, 2, 2, 4, 2, 0, 2, 3, 0, 1, 2, 1, 0, 2, 2, 2, 0, 4, 3, 2, 4, 2, 4, 1, 1, 3, 1, 4, 3, 3, 0, 1, 2, 1, 0, 4, 0, 1, 0, 0, 1, 0, 4, 2, 1, 2, 1, 0, 0, 4, 1, 2, 1, 3, 2, 4, 2, 1, 4, 0, 3, 4, 1, 0, 1, 3, 0, 4, 2, 3, 2, 3, 2, 4, 0, 3, 0, 2, 0, 4, 2, 3, 3, 4, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 2, 4, 0, 2, 4, 3, 1, 0, 2, 0, 4, 4, 3, 1, 4, 4, 2, 1, 4, 3, 3, 0, 2, 0, 0, 0, 3, 3, 3, 2, 4, 2, 0, 3, 3, 3, 3, 0, 4, 3, 3, 1, 2, 3, 4, 0, 1, 3, 3, 4, 1, 3, 2, 2, 1, 3, 2, 2, 4, 2, 2, 0, 2, 2, 2, 2, 3, 0, 4, 3, 4, 0, 2, 1, 1, 4, 2, 1, 4, 0, 3, 1, 1, 3, 0, 2, 2, 3, 0, 1, 0, 3, 1, 0, 0, 1, 1, 2, 1, 0, 0, 3, 3, 1, 1, 3, 1, 0, 2, 2, 0, 2, 2, 3, 3, 0, 0, 3, 1, 1, 3, 3, 2, 1, 1, 4, 0, 4, 3, 4, 2, 3, 1, 2, 0, 1, 3, 2, 3, 0, 3, 4, 2, 1, 3, 0, 0, 4, 1, 2, 1, 4, 3, 2, 4, 4, 3, 3, 4, 1, 4, 2, 3, 0, 4, 1, 2, 2, 3, 4, 1, 1, 4, 4, 3, 2, 3]
pubkeycol673 = [3, 1, 3, 2, 4, 0, 4, 1, 3, 0, 1, 3, 3, 2, 1, 1, 4, 3, 0, 2, 0, 4, 3, 3, 3, 0, 3, 1, 4, 1, 4, 2, 0, 0, 2, 2, 2, 3, 4, 2, 2, 0, 4, 4, 4, 0, 3, 1, 4, 0, 1, 3, 4, 2, 2, 3, 3, 3, 4, 0, 1, 1, 3, 3, 4, 0, 3, 0, 1, 3, 3, 1, 3, 2, 1, 0, 3, 4, 0, 0, 3, 4, 2, 3, 2, 2, 4, 4, 0, 3, 3, 4, 1, 0, 1, 2, 1, 0, 0, 2, 3, 0, 3, 0, 2, 3, 0, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 0, 3, 0, 0, 3, 4, 3, 0, 3, 1, 2, 4, 1, 2, 2, 3, 3, 3, 4, 1, 0, 4, 1, 2, 1, 3, 1, 0, 0, 4, 2, 4, 0, 2, 1, 2, 4, 3, 4, 4, 2, 3, 2, 0, 2, 1, 1, 0, 4, 3, 2, 4, 1, 1, 2, 1, 0, 0, 2, 2, 0, 4, 1, 1, 3, 3, 1, 3, 4, 4, 3, 2, 3, 0, 3, 3, 0, 2, 4, 4, 1, 4, 0, 2, 4, 3, 4, 1, 3, 3, 3, 4, 4, 0, 3, 4, 0, 2, 1, 0, 1, 1, 1, 2, 3, 3, 0, 4, 1, 2, 4, 3, 2, 3, 4, 0, 1, 4, 4, 0, 3, 0, 1, 2, 3, 2, 3, 1, 4, 0, 2, 3, 4, 3, 3, 2, 0, 1, 3, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 3, 0, 1, 3, 2, 3, 3, 3, 0, 0, 2, 1, 2, 4, 1, 1, 4, 1, 3, 3, 1, 4, 4, 0, 3, 4, 2, 0, 3, 4, 3, 2, 3, 1, 0, 0, 3, 4, 4, 3, 1, 3, 2, 2, 2, 2, 3, 3, 1, 4, 0, 2, 4, 0, 3, 4, 0, 0, 0, 2, 4, 1, 0, 4, 1, 0, 2, 2, 1, 4, 3, 1, 3, 2, 1, 2, 4, 4, 4, 1, 4, 4, 3, 1, 1, 4, 4, 1, 0, 0, 1, 2, 2, 2, 4, 2, 3, 3, 2, 4, 4, 1, 1, 0, 1, 3, 3, 3, 4, 0, 4, 1, 2, 1, 2, 3, 0, 2, 0, 4, 1, 0, 1, 1, 0, 2, 3, 3, 1, 0, 4, 3, 2]
pubkeycol674 = [0, 4, 1, 3, 4, 4, 2, 2, 1, 2, 3, 4, 0, 4, 2, 4, 4, 0, 4, 2, 4, 2, 0, 4, 4, 2, 3, 4, 4, 4, 4, 4, 4, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 3, 1, 0, 1, 0, 4, 3, 2, 0, 1, 3, 0, 2, 3, 0, 0, 4, 1, 0, 1, 3, 4, 3, 2, 3, 4, 1, 4, 2, 4, 0, 1, 3, 3, 1, 1, 3, 1, 2, 2, 4, 3, 2, 1, 3, 1, 3, 4, 2, 3, 1, 1, 1, 3, 2, 3, 3, 4, 3, 4, 4, 2, 2, 3, 3, 4, 2, 1, 4, 4, 0, 1, 3, 4, 4, 1, 4, 3, 4, 2, 1, 2, 4, 4, 0, 2, 1, 1, 4, 2, 4, 0, 0, 0, 1, 4, 0, 0, 3, 4, 1, 4, 2, 1, 2, 2, 4, 4, 4, 3, 1, 2, 4, 2, 2, 0, 4, 0, 3, 2, 2, 4, 1, 0, 0, 2, 4, 1, 4, 2, 3, 4, 3, 3, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 3, 4, 0, 0, 1, 4, 1, 0, 4, 3, 2, 1, 4, 2, 0, 0, 1, 2, 4, 0, 3, 0, 3, 4, 2, 0, 4, 0, 4, 3, 0, 2, 3, 1, 4, 4, 1, 4, 0, 0, 3, 4, 3, 2, 0, 1, 1, 4, 2, 1, 2, 1, 3, 4, 2, 3, 0, 4, 0, 4, 3, 0, 3, 1, 2, 1, 0, 1, 4, 1, 3, 3, 0, 2, 1, 3, 2, 4, 3, 2, 3, 2, 2, 1, 4, 4, 3, 3, 3, 4, 0, 2, 3, 1, 4, 3, 1, 3, 3, 0, 1, 0, 1, 3, 4, 1, 3, 3, 2, 4, 1, 3, 3, 2, 3, 3, 2, 4, 1, 4, 1, 0, 2, 0, 1, 0, 4, 3, 2, 3, 0, 0, 2, 1, 1, 0, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 2, 4, 2, 4, 0, 3, 3, 4, 0, 1, 1, 2, 2, 2, 1, 0, 2, 4, 0, 1, 0, 4, 2, 4, 0, 1, 0, 3, 1, 3, 3, 3, 4, 4, 2, 0, 2, 0, 3, 4, 4, 2, 3, 0, 4, 2, 1, 2, 3, 1, 4, 1, 4, 3, 0, 2, 0, 3]
pubkeycol675 = [3, 0, 4, 2, 4, 0, 3, 3, 4, 0, 2, 1, 4, 1, 0, 2, 3, 0, 4, 0, 3, 4, 3, 4, 0, 0, 2, 0, 1, 1, 3, 0, 1, 3, 3, 1, 4, 4, 0, 2, 0, 0, 3, 1, 1, 2, 4, 0, 2, 0, 0, 1, 2, 1, 4, 0, 3, 2, 3, 2, 1, 1, 2, 4, 4, 0, 1, 1, 0, 3, 3, 0, 0, 2, 4, 4, 1, 3, 2, 2, 3, 2, 1, 0, 2, 3, 2, 0, 4, 4, 3, 0, 4, 3, 2, 4, 0, 1, 2, 4, 3, 3, 1, 3, 1, 0, 3, 1, 3, 4, 0, 4, 0, 3, 0, 2, 1, 3, 2, 2, 2, 4, 0, 0, 2, 3, 4, 0, 2, 0, 4, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 3, 4, 3, 0, 0, 1, 1, 4, 4, 4, 4, 1, 2, 3, 4, 4, 4, 3, 2, 0, 1, 2, 0, 2, 2, 4, 4, 0, 3, 2, 3, 2, 0, 3, 1, 2, 1, 0, 4, 0, 3, 1, 1, 1, 3, 1, 2, 3, 1, 2, 1, 2, 1, 1, 1, 3, 3, 2, 3, 4, 2, 3, 4, 0, 2, 2, 0, 3, 4, 4, 3, 2, 1, 4, 1, 1, 1, 2, 1, 4, 4, 4, 3, 0, 3, 0, 4, 0, 1, 3, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 3, 4, 1, 3, 3, 4, 2, 2, 3, 3, 2, 2, 0, 2, 2, 1, 4, 4, 3, 2, 1, 0, 2, 1, 0, 4, 3, 0, 1, 2, 2, 0, 0, 4, 0, 3, 2, 3, 1, 1, 4, 2, 3, 0, 1, 1, 2, 1, 4, 4, 3, 3, 3, 2, 3, 4, 0, 1, 4, 1, 1, 2, 4, 0, 2, 2, 4, 0, 3, 0, 0, 3, 2, 3, 0, 3, 0, 0, 2, 0, 3, 3, 4, 2, 4, 3, 4, 3, 1, 3, 2, 2, 1, 0, 4, 0, 1, 2, 4, 0, 3, 0, 3, 4, 2, 3, 2, 3, 3, 3, 0, 1, 1, 3, 0, 3, 2, 3, 3, 3, 1, 4, 0, 4, 1, 4, 2, 4, 4, 0, 3, 1, 2, 4, 1, 0, 1, 1, 4, 3, 3, 4, 2, 1, 2, 2, 1, 2, 4, 1, 2, 0, 0, 0, 3, 4]
pubkeycol676 = [2, 4, 4, 2, 4, 1, 2, 1, 2, 0, 4, 0, 2, 3, 4, 3, 3, 0, 0, 0, 2, 0, 1, 2, 1, 0, 4, 1, 4, 0, 4, 0, 4, 2, 2, 1, 0, 1, 0, 0, 0, 4, 1, 3, 3, 2, 1, 1, 4, 2, 2, 3, 3, 2, 1, 1, 2, 2, 4, 4, 1, 4, 3, 4, 3, 0, 2, 2, 4, 3, 2, 2, 2, 3, 1, 2, 2, 0, 0, 3, 2, 1, 2, 2, 1, 0, 3, 2, 0, 3, 3, 1, 0, 0, 4, 1, 4, 4, 3, 3, 2, 3, 3, 2, 0, 2, 3, 0, 4, 2, 2, 2, 3, 3, 1, 4, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 4, 4, 3, 3, 0, 4, 4, 3, 1, 3, 2, 3, 1, 2, 3, 0, 3, 1, 1, 0, 2, 1, 1, 3, 2, 2, 1, 1, 1, 1, 0, 1, 4, 1, 4, 0, 3, 3, 2, 4, 0, 2, 3, 0, 3, 0, 0, 2, 0, 4, 4, 4, 1, 0, 0, 2, 2, 4, 3, 0, 2, 4, 3, 1, 1, 2, 3, 3, 1, 3, 3, 3, 0, 1, 3, 1, 1, 2, 4, 0, 3, 1, 0, 0, 3, 0, 2, 0, 4, 2, 2, 0, 4, 3, 1, 4, 3, 2, 3, 4, 1, 3, 1, 4, 0, 1, 4, 4, 4, 2, 3, 4, 1, 4, 4, 3, 1, 2, 1, 4, 3, 1, 3, 1, 1, 2, 3, 3, 2, 1, 4, 3, 1, 0, 3, 1, 2, 4, 4, 4, 1, 2, 3, 4, 3, 4, 4, 2, 1, 0, 3, 2, 4, 2, 4, 0, 1, 0, 3, 4, 0, 3, 0, 4, 4, 0, 2, 0, 2, 0, 2, 3, 0, 0, 2, 3, 1, 1, 0, 3, 0, 1, 3, 4, 1, 3, 1, 1, 3, 0, 4, 3, 2, 1, 4, 0, 0, 3, 4, 0, 0, 0, 0, 3, 3, 3, 0, 3, 4, 0, 0, 3, 4, 4, 1, 0, 3, 0, 0, 1, 0, 1, 1, 4, 4, 0, 1, 1, 2, 3, 0, 3, 1, 2, 3, 2, 2, 2, 3, 4, 4, 4, 4, 4, 0, 1, 1, 4, 2, 2, 3, 4, 0, 0, 3, 3, 4, 4, 1, 4, 4, 1, 3, 2, 2, 3, 0, 4, 1, 0, 1, 0]
pubkeycol677 = [1, 2, 3, 2, 4, 0, 4, 4, 0, 2, 2, 1, 4, 3, 4, 4, 2, 4, 3, 4, 4, 2, 3, 2, 0, 1, 3, 2, 1, 0, 2, 3, 1, 4, 1, 4, 3, 1, 2, 4, 4, 4, 1, 0, 2, 4, 3, 2, 2, 4, 1, 0, 0, 0, 2, 1, 2, 3, 3, 0, 1, 0, 4, 1, 3, 2, 0, 0, 3, 2, 2, 4, 0, 1, 0, 1, 0, 4, 0, 0, 2, 4, 1, 2, 4, 1, 2, 3, 0, 0, 2, 3, 0, 4, 0, 4, 3, 4, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 3, 2, 4, 1, 4, 1, 3, 0, 2, 0, 4, 3, 0, 1, 0, 4, 1, 4, 1, 3, 0, 4, 0, 2, 4, 0, 3, 3, 2, 4, 1, 1, 4, 2, 2, 1, 4, 4, 1, 0, 4, 4, 0, 2, 0, 3, 2, 4, 2, 0, 0, 0, 1, 2, 1, 2, 4, 3, 2, 2, 1, 4, 3, 0, 0, 2, 0, 2, 3, 0, 1, 3, 3, 4, 1, 1, 4, 2, 0, 1, 0, 3, 4, 3, 2, 0, 4, 4, 2, 3, 3, 2, 0, 4, 4, 2, 2, 2, 1, 0, 4, 1, 2, 3, 1, 0, 4, 2, 1, 1, 4, 1, 4, 4, 2, 2, 0, 4, 1, 0, 3, 2, 0, 2, 0, 4, 2, 2, 0, 1, 3, 1, 4, 0, 1, 0, 1, 4, 1, 2, 0, 3, 3, 0, 0, 1, 0, 3, 1, 3, 1, 3, 0, 2, 2, 2, 1, 3, 2, 1, 4, 1, 1, 1, 1, 4, 3, 3, 2, 4, 1, 3, 4, 3, 4, 3, 3, 2, 0, 1, 1, 3, 0, 3, 4, 1, 0, 0, 4, 0, 3, 2, 2, 2, 3, 2, 4, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 4, 1, 3, 3, 4, 3, 4, 4, 2, 2, 4, 2, 2, 3, 0, 2, 3, 0, 2, 3, 1, 3, 1, 2, 0, 0, 1, 1, 4, 3, 3, 2, 1, 3, 4, 2, 1, 1, 3, 2, 0, 2, 3, 3, 4, 4, 3, 4, 0, 0, 2, 3, 4, 4, 3, 4, 2, 4, 3, 3, 3, 2, 1, 1, 4, 2, 0, 0, 2, 0, 1, 4, 1, 2, 0, 3, 2, 4, 2, 2, 2, 0, 4, 1, 3]
pubkeycol678 = [2, 2, 1, 0, 4, 0, 0, 3, 3, 2, 0, 3, 1, 2, 4, 2, 3, 1, 2, 1, 0, 1, 3, 4, 2, 4, 3, 1, 4, 3, 3, 2, 3, 0, 0, 2, 4, 2, 1, 0, 0, 3, 3, 2, 3, 3, 0, 4, 2, 3, 0, 1, 4, 1, 1, 0, 2, 4, 4, 0, 3, 0, 2, 4, 0, 0, 1, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 0, 4, 4, 3, 1, 2, 0, 3, 1, 1, 3, 3, 2, 3, 1, 1, 4, 1, 1, 0, 0, 4, 2, 2, 0, 0, 4, 2, 4, 1, 1, 0, 4, 0, 2, 3, 4, 1, 2, 1, 3, 2, 1, 1, 1, 3, 4, 3, 4, 3, 0, 4, 3, 2, 1, 4, 3, 1, 4, 0, 3, 0, 1, 0, 0, 3, 2, 3, 3, 1, 2, 2, 2, 0, 2, 4, 3, 1, 0, 2, 1, 2, 1, 4, 4, 0, 2, 2, 2, 2, 2, 2, 1, 4, 4, 3, 0, 4, 3, 0, 2, 2, 2, 4, 1, 1, 1, 4, 0, 1, 2, 3, 4, 4, 2, 3, 4, 4, 4, 3, 1, 1, 3, 1, 0, 2, 4, 3, 3, 1, 1, 0, 0, 2, 3, 4, 1, 1, 3, 2, 0, 3, 3, 3, 0, 3, 1, 3, 2, 4, 2, 1, 4, 3, 0, 1, 1, 0, 2, 3, 1, 4, 2, 1, 4, 4, 3, 0, 3, 1, 1, 1, 1, 4, 2, 1, 2, 0, 4, 0, 0, 2, 2, 1, 0, 0, 0, 2, 3, 3, 2, 1, 0, 2, 0, 4, 1, 1, 3, 1, 3, 3, 2, 3, 2, 3, 2, 3, 0, 3, 4, 4, 3, 2, 0, 4, 3, 2, 4, 1, 4, 4, 3, 1, 1, 4, 0, 1, 4, 4, 1, 3, 2, 1, 1, 1, 2, 2, 1, 1, 4, 2, 1, 4, 0, 0, 3, 3, 4, 3, 3, 2, 1, 0, 4, 2, 2, 3, 4, 4, 1, 0, 3, 2, 1, 0, 1, 1, 4, 1, 2, 4, 4, 0, 2, 3, 2, 2, 2, 0, 0, 2, 2, 4, 3, 3, 3, 1, 2, 4, 1, 4, 4, 1, 4, 2, 0, 4, 0, 1, 0, 1, 1, 4, 3, 0, 0, 0, 2, 4, 4, 4, 4, 3, 4, 4, 3, 4, 0, 3, 2, 2, 1]
pubkeycol679 = [3, 1, 2, 4, 1, 2, 0, 4, 4, 2, 1, 4, 4, 2, 1, 4, 3, 2, 4, 1, 0, 3, 2, 4, 1, 4, 4, 4, 0, 2, 1, 3, 0, 2, 1, 2, 4, 4, 2, 4, 0, 1, 1, 1, 2, 3, 3, 1, 0, 1, 2, 0, 1, 1, 3, 0, 0, 4, 2, 2, 2, 4, 2, 2, 4, 0, 1, 4, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 4, 1, 1, 3, 0, 3, 2, 1, 2, 4, 1, 1, 2, 0, 1, 0, 4, 2, 1, 1, 4, 0, 4, 2, 0, 4, 1, 3, 3, 0, 2, 2, 2, 3, 2, 2, 4, 1, 1, 2, 3, 0, 3, 2, 2, 3, 0, 0, 1, 0, 4, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 3, 1, 3, 1, 4, 0, 3, 4, 3, 3, 1, 4, 1, 0, 4, 1, 2, 2, 1, 3, 1, 3, 0, 0, 0, 4, 1, 1, 3, 3, 3, 4, 1, 3, 4, 4, 4, 4, 4, 2, 4, 0, 0, 2, 4, 4, 4, 4, 2, 3, 0, 1, 1, 2, 3, 4, 1, 3, 4, 2, 1, 1, 0, 4, 3, 0, 1, 1, 4, 4, 3, 3, 2, 1, 0, 2, 0, 1, 0, 3, 0, 1, 2, 2, 2, 0, 3, 3, 2, 3, 3, 1, 1, 2, 1, 1, 3, 4, 2, 0, 0, 0, 0, 3, 4, 1, 0, 3, 2, 1, 2, 2, 3, 2, 4, 3, 1, 3, 2, 0, 3, 0, 3, 4, 1, 4, 3, 4, 1, 0, 3, 3, 2, 2, 3, 3, 3, 3, 0, 0, 0, 1, 0, 2, 3, 2, 1, 4, 1, 0, 3, 1, 4, 0, 4, 4, 2, 4, 0, 2, 0, 4, 3, 0, 2, 4, 4, 1, 1, 1, 2, 0, 2, 4, 3, 3, 4, 2, 2, 3, 0, 1, 1, 1, 3, 4, 2, 1, 2, 2, 2, 3, 1, 2, 0, 3, 3, 0, 0, 2, 0, 4, 4, 2, 2, 2, 4, 2, 1, 4, 0, 2, 3, 1, 1, 4, 3, 4, 2, 2, 2, 3, 1, 1, 0, 0, 1, 0, 4, 4, 4, 1, 4, 0, 1, 0, 1, 4, 0, 2, 3, 3, 2, 0, 1, 2, 1, 2, 3, 3, 0, 4, 2, 0, 3, 4, 1, 4, 3, 2, 4]
pubkeycol680 = [3, 4, 4, 3, 0, 1, 2, 1, 2, 1, 4, 2, 1, 4, 1, 4, 0, 3, 0, 2, 3, 4, 1, 3, 2, 2, 1, 3, 0, 1, 3, 3, 3, 3, 0, 4, 2, 2, 4, 0, 1, 1, 1, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 4, 3, 4, 0, 2, 0, 3, 0, 4, 1, 4, 2, 4, 1, 4, 2, 1, 0, 3, 3, 3, 0, 3, 1, 3, 1, 4, 2, 3, 4, 4, 2, 3, 1, 0, 4, 1, 0, 3, 1, 3, 2, 4, 3, 2, 2, 0, 4, 1, 4, 3, 0, 2, 1, 0, 4, 2, 2, 2, 1, 2, 0, 2, 0, 3, 4, 4, 4, 4, 0, 0, 0, 4, 2, 1, 4, 3, 3, 0, 4, 4, 4, 4, 2, 3, 4, 4, 3, 2, 0, 4, 2, 1, 0, 3, 2, 1, 4, 3, 1, 3, 0, 1, 3, 0, 3, 4, 1, 3, 2, 0, 0, 4, 4, 1, 0, 4, 3, 4, 3, 1, 1, 1, 4, 1, 3, 3, 2, 4, 1, 0, 3, 4, 2, 4, 1, 0, 3, 1, 2, 1, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 3, 0, 2, 4, 3, 1, 4, 4, 3, 1, 3, 1, 3, 0, 2, 1, 2, 3, 3, 2, 1, 4, 2, 2, 1, 2, 1, 4, 0, 4, 2, 3, 4, 4, 3, 0, 3, 3, 1, 4, 4, 3, 1, 1, 1, 1, 2, 0, 2, 0, 0, 4, 1, 1, 2, 2, 1, 1, 3, 3, 1, 1, 4, 3, 3, 4, 0, 4, 3, 2, 2, 3, 0, 2, 4, 3, 3, 1, 1, 0, 2, 2, 3, 1, 4, 2, 3, 1, 1, 3, 4, 0, 4, 1, 0, 1, 4, 2, 2, 4, 1, 3, 2, 4, 0, 0, 1, 1, 0, 3, 0, 1, 2, 4, 2, 3, 3, 4, 1, 2, 3, 0, 4, 2, 3, 0, 4, 0, 0, 2, 0, 4, 2, 3, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 4, 1, 3, 1, 4, 2, 3, 1, 2, 4, 1, 0, 4, 2, 1, 1, 4, 0, 2, 2, 4, 4, 3, 1, 4, 4, 1, 1, 2, 2, 2, 1, 3, 3, 1, 2, 4, 2, 3, 1, 2, 1, 0, 4, 0, 3, 4, 0, 1]
pubkeycol681 = [1, 3, 0, 4, 2, 1, 4, 4, 1, 0, 4, 0, 4, 0, 0, 4, 4, 3, 1, 0, 4, 3, 3, 4, 1, 1, 1, 0, 2, 4, 4, 1, 3, 3, 1, 3, 2, 4, 2, 0, 1, 4, 2, 3, 1, 2, 0, 0, 3, 1, 0, 1, 2, 3, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, 3, 3, 2, 1, 3, 0, 0, 3, 1, 0, 0, 3, 1, 4, 2, 0, 2, 1, 1, 4, 1, 3, 0, 3, 1, 2, 4, 0, 0, 0, 1, 0, 1, 1, 0, 3, 1, 3, 0, 2, 4, 0, 0, 4, 1, 2, 3, 2, 1, 3, 0, 1, 1, 3, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 3, 0, 1, 4, 2, 1, 3, 3, 0, 1, 4, 2, 3, 1, 2, 2, 0, 4, 0, 0, 1, 1, 2, 0, 1, 0, 3, 2, 1, 2, 4, 4, 2, 2, 3, 0, 2, 4, 4, 0, 3, 2, 4, 3, 3, 0, 0, 1, 3, 1, 0, 1, 3, 3, 2, 3, 4, 3, 3, 4, 1, 3, 3, 2, 4, 2, 0, 0, 4, 2, 0, 4, 1, 4, 4, 3, 2, 1, 3, 3, 3, 2, 0, 3, 0, 4, 2, 1, 4, 1, 3, 1, 2, 1, 3, 3, 2, 2, 2, 1, 1, 4, 3, 3, 4, 4, 3, 0, 4, 0, 4, 0, 1, 2, 0, 0, 3, 0, 0, 3, 3, 3, 1, 0, 1, 0, 3, 4, 4, 2, 2, 0, 0, 3, 4, 2, 2, 1, 3, 4, 4, 3, 4, 3, 3, 2, 3, 2, 1, 1, 4, 4, 0, 3, 0, 2, 1, 0, 0, 0, 0, 3, 2, 3, 4, 0, 3, 3, 3, 3, 0, 4, 3, 3, 0, 2, 3, 1, 4, 1, 0, 3, 1, 1, 4, 2, 1, 3, 1, 1, 4, 0, 0, 0, 4, 4, 0, 0, 1, 3, 3, 4, 0, 1, 2, 3, 3, 1, 3, 3, 1, 2, 0, 0, 2, 4, 1, 1, 3, 2, 2, 2, 4, 3, 4, 0, 2, 0, 1, 4, 0, 4, 4, 2, 1, 0, 4, 0, 4, 1, 2, 1, 0, 4, 1, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 4, 4, 3, 2, 4, 3, 1, 2, 0, 1, 0, 0]
pubkeycol682 = [1, 4, 3, 0, 1, 3, 3, 0, 0, 3, 4, 3, 3, 3, 3, 3, 1, 0, 1, 4, 4, 4, 0, 0, 2, 4, 4, 1, 2, 0, 3, 4, 0, 4, 3, 3, 2, 3, 0, 1, 2, 1, 0, 0, 2, 0, 1, 4, 4, 0, 2, 3, 4, 2, 4, 2, 1, 1, 0, 0, 3, 4, 4, 3, 1, 3, 2, 3, 2, 1, 0, 4, 2, 4, 2, 1, 1, 2, 1, 1, 0, 3, 1, 2, 4, 3, 1, 2, 2, 0, 0, 1, 2, 3, 0, 4, 4, 1, 0, 3, 3, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1, 0, 3, 1, 3, 0, 1, 0, 1, 2, 4, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 4, 1, 4, 3, 3, 4, 1, 4, 4, 1, 4, 0, 0, 2, 3, 3, 4, 2, 1, 1, 3, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 3, 4, 1, 0, 2, 0, 1, 2, 3, 3, 1, 3, 0, 2, 0, 4, 1, 1, 0, 3, 2, 1, 1, 3, 4, 1, 3, 0, 0, 0, 4, 0, 2, 3, 1, 3, 4, 3, 1, 4, 2, 1, 3, 3, 1, 1, 0, 1, 2, 4, 3, 4, 0, 0, 0, 4, 3, 0, 0, 4, 0, 4, 2, 3, 0, 3, 3, 1, 4, 2, 1, 4, 1, 0, 2, 2, 4, 1, 3, 3, 3, 3, 0, 3, 4, 1, 4, 1, 2, 0, 2, 3, 4, 3, 4, 0, 1, 4, 0, 0, 4, 2, 3, 1, 1, 2, 0, 0, 3, 3, 4, 2, 0, 4, 4, 3, 4, 3, 4, 4, 2, 4, 3, 2, 4, 1, 0, 0, 2, 3, 3, 1, 3, 0, 0, 4, 1, 2, 2, 2, 0, 3, 3, 3, 1, 3, 3, 3, 3, 2, 4, 0, 4, 0, 1, 2, 3, 0, 2, 0, 3, 0, 2, 1, 3, 1, 3, 0, 2, 0, 0, 0, 3, 4, 4, 3, 4, 0, 3, 3, 1, 2, 4, 4, 0, 2, 2, 4, 3, 3, 0, 4, 4, 3, 1, 1, 0, 0, 2, 4, 1, 0, 2, 4, 4, 0, 2, 1, 2, 0, 4, 0, 1, 4, 2, 3, 2, 1, 1, 2, 3, 0, 3, 0, 1, 2, 0, 4, 0, 4, 3, 1, 2, 1, 1, 3]
pubkeycol683 = [4, 3, 0, 4, 2, 2, 3, 0, 4, 3, 4, 3, 3, 3, 1, 3, 1, 2, 2, 2, 4, 0, 2, 4, 4, 0, 1, 4, 1, 4, 4, 4, 1, 3, 0, 0, 4, 0, 0, 0, 3, 3, 3, 4, 1, 1, 4, 0, 3, 0, 0, 1, 4, 0, 0, 1, 2, 3, 2, 2, 1, 3, 2, 0, 0, 0, 0, 3, 3, 0, 2, 4, 1, 3, 0, 0, 1, 0, 3, 4, 4, 1, 0, 0, 2, 4, 2, 3, 4, 0, 4, 1, 3, 0, 1, 1, 2, 4, 1, 3, 2, 0, 4, 1, 3, 3, 1, 4, 2, 2, 2, 1, 1, 1, 0, 2, 3, 2, 2, 4, 4, 4, 3, 1, 0, 0, 3, 1, 3, 1, 2, 1, 4, 3, 0, 4, 4, 0, 1, 4, 3, 1, 0, 1, 3, 2, 1, 2, 3, 1, 0, 1, 1, 3, 4, 0, 0, 3, 1, 3, 3, 3, 0, 0, 1, 2, 2, 0, 1, 4, 4, 3, 1, 2, 1, 4, 0, 0, 0, 3, 4, 0, 3, 1, 0, 0, 0, 1, 4, 2, 1, 2, 2, 4, 1, 3, 1, 0, 4, 4, 4, 2, 2, 2, 3, 4, 2, 1, 0, 3, 2, 3, 1, 0, 2, 4, 2, 0, 0, 1, 1, 3, 2, 1, 3, 4, 1, 4, 4, 4, 3, 2, 4, 1, 3, 0, 2, 3, 1, 3, 0, 1, 3, 0, 0, 3, 3, 3, 0, 0, 1, 2, 3, 0, 2, 3, 1, 1, 4, 1, 3, 1, 4, 4, 3, 0, 2, 4, 4, 4, 3, 2, 4, 4, 4, 0, 2, 0, 1, 2, 0, 1, 3, 0, 2, 1, 0, 2, 1, 3, 3, 0, 0, 2, 0, 2, 4, 4, 3, 1, 2, 0, 4, 1, 3, 2, 4, 4, 3, 1, 4, 3, 4, 0, 1, 2, 0, 4, 0, 1, 1, 3, 3, 0, 1, 2, 2, 3, 1, 3, 4, 2, 4, 2, 0, 4, 0, 1, 3, 3, 3, 4, 3, 3, 3, 1, 0, 4, 2, 3, 4, 1, 4, 0, 4, 0, 2, 3, 0, 0, 2, 4, 2, 4, 0, 0, 1, 1, 3, 2, 4, 4, 1, 3, 4, 0, 4, 4, 0, 3, 3, 0, 1, 0, 1, 3, 3, 0, 1, 1, 3, 2, 3, 4, 3, 2, 0, 1, 4, 4]
pubkeycol684 = [4, 4, 1, 0, 0, 1, 0, 2, 2, 2, 3, 2, 0, 4, 3, 3, 1, 4, 0, 1, 4, 1, 2, 2, 4, 4, 3, 2, 3, 0, 1, 3, 2, 4, 4, 3, 3, 1, 2, 1, 2, 1, 3, 4, 0, 4, 2, 4, 4, 3, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 3, 3, 2, 3, 0, 1, 4, 4, 4, 0, 1, 0, 4, 3, 4, 4, 2, 0, 2, 4, 1, 3, 1, 3, 0, 1, 3, 2, 3, 4, 2, 1, 2, 3, 3, 0, 4, 1, 4, 2, 0, 3, 4, 4, 2, 0, 4, 2, 2, 2, 0, 2, 2, 0, 3, 3, 1, 1, 1, 0, 2, 3, 3, 0, 2, 4, 0, 0, 3, 0, 4, 0, 3, 0, 2, 4, 2, 3, 1, 4, 0, 3, 0, 1, 0, 1, 1, 4, 0, 0, 3, 4, 3, 3, 3, 1, 3, 4, 0, 3, 2, 2, 4, 2, 1, 4, 4, 3, 2, 3, 4, 1, 2, 4, 0, 2, 4, 0, 2, 4, 0, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 4, 2, 4, 4, 0, 3, 2, 1, 2, 3, 4, 0, 2, 2, 4, 0, 0, 4, 4, 4, 3, 2, 0, 1, 2, 4, 4, 4, 2, 4, 4, 3, 0, 0, 3, 3, 0, 2, 0, 2, 3, 1, 1, 4, 3, 3, 0, 4, 2, 1, 4, 4, 3, 0, 3, 1, 3, 0, 4, 1, 4, 0, 4, 1, 1, 2, 0, 0, 2, 3, 3, 1, 4, 0, 2, 0, 4, 1, 1, 2, 3, 2, 2, 0, 2, 2, 1, 1, 0, 2, 4, 1, 4, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 3, 3, 4, 1, 2, 1, 4, 4, 4, 4, 4, 1, 4, 1, 2, 2, 4, 3, 1, 2, 2, 2, 0, 4, 2, 2, 3, 1, 4, 4, 1, 3, 1, 0, 0, 0, 0, 2, 0, 0, 4, 4, 4, 3, 4, 3, 4, 2, 1, 4, 0, 1, 1, 0, 4, 0, 0, 1, 1, 0, 1, 4, 1, 2, 3, 4, 2, 1, 1, 2, 1, 3, 1, 4, 1, 1, 0, 3, 3, 1, 4, 0, 2, 2, 0, 4, 0, 2, 0, 1, 4, 3, 1, 3, 3, 1]
pubkeycol685 = [3, 2, 3, 0, 3, 1, 4, 0, 4, 3, 4, 0, 0, 0, 0, 0, 2, 0, 3, 0, 4, 0, 3, 2, 4, 3, 0, 4, 4, 3, 1, 1, 4, 4, 3, 2, 4, 3, 1, 3, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 3, 0, 2, 4, 3, 3, 4, 1, 3, 1, 2, 1, 0, 0, 3, 0, 0, 2, 2, 3, 2, 0, 2, 1, 0, 1, 0, 2, 4, 2, 3, 1, 1, 3, 3, 1, 0, 0, 3, 2, 4, 1, 1, 3, 4, 4, 3, 0, 2, 2, 3, 4, 3, 3, 2, 3, 3, 0, 0, 0, 1, 3, 1, 1, 2, 1, 2, 4, 3, 1, 1, 0, 0, 1, 2, 1, 3, 0, 4, 0, 0, 0, 3, 4, 0, 2, 4, 4, 1, 0, 1, 4, 0, 4, 2, 4, 4, 2, 3, 2, 4, 3, 3, 4, 2, 0, 1, 0, 0, 3, 2, 2, 3, 3, 3, 2, 2, 0, 0, 4, 4, 3, 2, 0, 3, 2, 0, 3, 4, 2, 1, 3, 4, 2, 1, 4, 3, 1, 1, 1, 1, 3, 3, 1, 2, 4, 4, 2, 0, 3, 2, 3, 1, 1, 0, 1, 2, 4, 1, 0, 4, 1, 0, 2, 1, 4, 4, 3, 4, 1, 2, 2, 1, 2, 2, 1, 3, 4, 2, 0, 4, 3, 4, 4, 4, 1, 0, 3, 1, 1, 3, 1, 3, 2, 2, 0, 4, 2, 2, 3, 2, 1, 3, 1, 1, 3, 2, 1, 2, 2, 0, 3, 0, 3, 2, 3, 1, 2, 0, 3, 0, 4, 4, 3, 2, 3, 2, 4, 1, 4, 0, 4, 0, 3, 1, 4, 4, 4, 2, 0, 4, 3, 0, 0, 2, 3, 3, 3, 1, 2, 2, 2, 3, 1, 0, 0, 2, 1, 0, 2, 3, 0, 1, 3, 3, 3, 0, 1, 4, 1, 4, 3, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 3, 4, 3, 2, 3, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 4, 4, 3, 0, 3, 3, 0, 2, 1, 0, 4, 3, 3, 1, 0, 0, 0, 3, 4, 3, 2, 4, 2, 0, 4, 1, 0, 2, 3, 4, 1, 1, 4, 3, 2, 3, 1, 1, 0, 4, 2, 0, 1, 2, 2, 3, 2]
pubkeycol686 = [3, 0, 1, 1, 0, 4, 1, 2, 0, 1, 4, 4, 4, 3, 4, 3, 4, 4, 1, 2, 1, 4, 2, 2, 2, 4, 2, 3, 2, 1, 4, 1, 2, 0, 2, 1, 4, 3, 3, 2, 3, 0, 1, 4, 0, 0, 4, 1, 3, 2, 3, 3, 2, 1, 3, 2, 3, 0, 2, 4, 4, 3, 1, 2, 4, 2, 2, 4, 0, 1, 4, 4, 1, 4, 0, 4, 1, 3, 1, 4, 1, 1, 3, 1, 4, 3, 0, 2, 4, 4, 1, 2, 0, 4, 4, 1, 1, 2, 1, 0, 4, 1, 0, 1, 3, 2, 2, 3, 3, 3, 2, 2, 0, 0, 3, 1, 0, 2, 0, 1, 4, 0, 1, 0, 2, 1, 3, 3, 3, 2, 2, 2, 0, 2, 1, 4, 0, 0, 2, 1, 4, 4, 4, 1, 2, 4, 4, 3, 0, 3, 4, 1, 2, 1, 0, 1, 4, 2, 1, 2, 1, 4, 1, 4, 1, 0, 2, 2, 2, 2, 1, 0, 4, 1, 2, 1, 4, 2, 2, 3, 0, 2, 1, 0, 4, 0, 3, 0, 0, 2, 4, 2, 3, 2, 2, 3, 4, 3, 1, 1, 0, 1, 4, 2, 1, 2, 1, 1, 2, 0, 0, 1, 3, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 3, 4, 0, 0, 0, 3, 4, 3, 1, 0, 3, 0, 1, 0, 0, 3, 0, 4, 4, 2, 1, 0, 1, 1, 4, 2, 0, 1, 4, 0, 2, 0, 1, 2, 3, 4, 3, 3, 0, 0, 3, 0, 1, 1, 4, 3, 4, 2, 0, 2, 1, 0, 4, 4, 0, 4, 3, 3, 0, 2, 4, 4, 2, 3, 0, 0, 3, 3, 1, 1, 2, 1, 4, 3, 1, 1, 0, 0, 0, 0, 4, 4, 1, 4, 0, 3, 3, 2, 4, 2, 4, 4, 1, 0, 2, 3, 1, 2, 2, 2, 0, 0, 4, 1, 0, 2, 0, 4, 2, 3, 1, 4, 4, 3, 0, 2, 3, 3, 0, 3, 1, 4, 0, 3, 4, 1, 4, 0, 4, 4, 2, 0, 0, 0, 4, 3, 0, 0, 2, 1, 0, 3, 1, 2, 4, 4, 0, 1, 1, 4, 3, 4, 1, 3, 4, 3, 2, 3, 0, 0, 1, 3, 0, 0, 4, 1, 2, 3, 3, 2, 0, 2, 4, 1, 0]
pubkeycol687 = [2, 2, 2, 3, 1, 2, 0, 1, 1, 3, 0, 0, 2, 0, 1, 3, 4, 2, 1, 1, 1, 2, 1, 1, 1, 2, 3, 4, 4, 1, 0, 4, 4, 3, 2, 1, 0, 0, 2, 2, 0, 0, 4, 2, 3, 1, 3, 4, 4, 1, 0, 4, 3, 1, 2, 4, 1, 2, 3, 2, 3, 2, 2, 0, 4, 3, 1, 0, 2, 1, 4, 2, 2, 3, 3, 2, 4, 4, 0, 0, 4, 4, 4, 3, 2, 1, 2, 0, 3, 1, 0, 3, 2, 3, 4, 2, 1, 3, 4, 2, 1, 3, 3, 0, 4, 1, 2, 4, 3, 2, 0, 3, 2, 4, 1, 2, 2, 1, 0, 1, 2, 4, 2, 3, 0, 2, 1, 1, 4, 2, 3, 2, 2, 4, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 4, 4, 2, 3, 4, 3, 4, 4, 0, 2, 2, 0, 0, 1, 1, 1, 4, 3, 3, 1, 0, 2, 4, 2, 4, 0, 0, 4, 1, 4, 4, 2, 3, 1, 0, 0, 2, 1, 4, 3, 0, 4, 2, 2, 3, 4, 4, 3, 0, 4, 1, 0, 1, 4, 0, 2, 2, 1, 1, 1, 3, 0, 0, 0, 4, 1, 1, 3, 0, 0, 4, 2, 0, 3, 1, 3, 1, 4, 4, 4, 0, 4, 4, 3, 3, 4, 1, 3, 3, 0, 1, 2, 4, 4, 1, 4, 0, 0, 0, 2, 3, 0, 0, 4, 0, 2, 1, 1, 2, 1, 4, 3, 1, 0, 1, 2, 0, 2, 3, 1, 3, 3, 3, 3, 0, 3, 1, 3, 3, 3, 2, 3, 4, 1, 3, 2, 4, 0, 2, 2, 3, 3, 2, 1, 0, 1, 2, 3, 4, 0, 1, 2, 3, 3, 4, 0, 2, 1, 4, 2, 3, 1, 2, 1, 1, 4, 1, 4, 1, 0, 1, 3, 3, 0, 1, 4, 2, 3, 3, 4, 2, 3, 1, 4, 1, 2, 1, 0, 0, 3, 1, 1, 0, 2, 2, 0, 2, 4, 3, 2, 2, 2, 3, 2, 1, 4, 2, 1, 3, 2, 1, 4, 3, 3, 1, 1, 2, 4, 1, 2, 0, 0, 1, 1, 4, 4, 1, 4, 3, 1, 2, 1, 4, 2, 0, 1, 2, 4, 1, 3, 1, 0, 4, 4, 3, 2, 3, 3, 3, 3, 4, 2, 4, 2, 3, 0]
pubkeycol688 = [2, 0, 0, 4, 3, 2, 1, 4, 1, 3, 0, 1, 1, 4, 2, 1, 2, 0, 0, 0, 4, 3, 4, 0, 1, 1, 1, 3, 4, 0, 2, 3, 1, 2, 3, 3, 2, 2, 1, 4, 2, 1, 1, 1, 2, 2, 0, 3, 1, 3, 2, 2, 1, 4, 1, 2, 0, 1, 0, 4, 4, 3, 3, 4, 3, 3, 3, 0, 1, 0, 0, 0, 2, 1, 3, 1, 0, 0, 2, 2, 3, 1, 1, 1, 1, 4, 2, 4, 0, 3, 0, 3, 2, 0, 1, 1, 1, 1, 4, 4, 2, 4, 2, 1, 2, 3, 1, 1, 4, 4, 2, 2, 2, 2, 1, 2, 0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 4, 0, 1, 0, 4, 3, 0, 4, 2, 2, 3, 0, 3, 1, 1, 0, 4, 2, 4, 2, 2, 2, 0, 1, 2, 4, 2, 0, 4, 1, 3, 2, 1, 2, 0, 3, 0, 0, 3, 3, 1, 2, 4, 1, 4, 0, 3, 0, 0, 4, 2, 1, 2, 0, 3, 4, 3, 1, 0, 0, 0, 1, 3, 0, 3, 4, 3, 2, 3, 3, 3, 0, 1, 0, 2, 4, 4, 3, 4, 0, 3, 1, 2, 0, 3, 3, 1, 0, 0, 3, 4, 1, 0, 1, 0, 4, 2, 0, 0, 4, 2, 3, 1, 4, 0, 0, 0, 3, 1, 0, 3, 4, 4, 4, 2, 1, 1, 4, 4, 4, 0, 1, 1, 1, 3, 3, 4, 0, 4, 4, 2, 2, 0, 1, 0, 2, 1, 4, 2, 1, 0, 1, 3, 1, 0, 4, 3, 4, 1, 1, 3, 0, 4, 0, 3, 3, 4, 4, 1, 4, 0, 2, 0, 3, 1, 3, 3, 2, 1, 4, 3, 3, 0, 1, 2, 0, 1, 4, 4, 3, 2, 0, 0, 1, 1, 2, 1, 3, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 3, 1, 3, 2, 1, 1, 2, 1, 0, 1, 0, 4, 3, 1, 2, 1, 3, 2, 4, 1, 2, 1, 4, 1, 0, 0, 2, 0, 0, 4, 4, 1, 1, 0, 1, 0, 3, 0, 0, 0, 0, 3, 2, 4, 4, 0, 1, 3, 4, 2, 1, 0, 3, 0, 3, 3, 0, 1, 1, 3, 2, 2, 3, 1, 1, 2, 1, 0, 0, 4, 0, 3, 0, 1]
pubkeycol689 = [2, 4, 4, 4, 4, 2, 2, 3, 3, 1, 1, 2, 0, 0, 4, 3, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 3, 0, 0, 1, 4, 2, 1, 1, 3, 3, 3, 2, 1, 0, 4, 4, 3, 1, 4, 4, 2, 2, 2, 1, 4, 1, 4, 0, 0, 0, 4, 4, 4, 4, 1, 0, 3, 4, 1, 1, 4, 2, 4, 0, 4, 0, 1, 4, 0, 3, 3, 0, 3, 4, 3, 3, 0, 2, 2, 1, 3, 4, 4, 1, 0, 4, 3, 3, 3, 3, 1, 4, 2, 4, 1, 3, 1, 3, 2, 1, 2, 4, 3, 2, 0, 3, 0, 4, 2, 1, 2, 3, 3, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 4, 0, 4, 3, 0, 3, 3, 1, 1, 4, 0, 4, 3, 0, 0, 2, 4, 0, 3, 2, 0, 1, 4, 0, 3, 2, 4, 1, 0, 2, 3, 0, 0, 2, 3, 4, 1, 1, 0, 4, 2, 0, 1, 4, 1, 1, 3, 3, 4, 4, 1, 1, 0, 3, 4, 3, 3, 4, 4, 2, 1, 2, 0, 4, 4, 2, 4, 3, 4, 2, 4, 3, 0, 2, 1, 0, 4, 1, 4, 1, 4, 2, 2, 0, 4, 3, 4, 1, 2, 3, 4, 1, 3, 3, 4, 0, 3, 2, 4, 3, 4, 3, 0, 2, 3, 0, 1, 1, 0, 0, 4, 4, 1, 0, 0, 4, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 2, 2, 3, 0, 2, 3, 1, 4, 1, 1, 1, 4, 2, 0, 1, 2, 1, 0, 2, 3, 2, 4, 1, 2, 2, 1, 3, 4, 1, 3, 4, 4, 3, 4, 2, 3, 1, 2, 2, 2, 2, 2, 1, 4, 3, 2, 4, 1, 2, 1, 1, 2, 0, 0, 3, 3, 1, 1, 2, 0, 1, 0, 0, 4, 4, 1, 1, 2, 1, 3, 4, 4, 3, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 4, 3, 2, 0, 0, 0, 1, 2, 1, 0, 4, 4, 2, 1, 0, 1, 4, 2, 2, 3, 1, 4, 0, 3, 2, 1, 2, 0, 0, 3, 4, 3, 3, 0, 3, 2, 0, 4, 1, 2, 4, 2, 3, 2, 1, 0, 4, 4, 1, 3, 2, 2, 1]
pubkeycol690 = [4, 0, 0, 1, 4, 4, 0, 3, 2, 4, 2, 3, 2, 3, 1, 0, 2, 1, 3, 4, 2, 0, 4, 1, 1, 3, 0, 1, 1, 1, 0, 4, 1, 2, 2, 2, 0, 1, 4, 3, 4, 3, 4, 1, 0, 2, 3, 2, 0, 0, 4, 4, 0, 0, 2, 3, 1, 1, 4, 1, 3, 0, 1, 1, 3, 1, 1, 1, 0, 3, 1, 2, 1, 2, 2, 1, 2, 2, 4, 4, 2, 1, 3, 0, 3, 1, 2, 2, 0, 4, 0, 1, 3, 3, 1, 4, 1, 2, 1, 2, 1, 2, 3, 4, 1, 1, 1, 3, 1, 2, 2, 2, 3, 1, 1, 2, 0, 4, 4, 3, 3, 2, 1, 0, 1, 2, 2, 1, 0, 2, 4, 3, 2, 0, 0, 1, 2, 3, 0, 1, 0, 4, 2, 3, 4, 4, 3, 0, 2, 4, 3, 2, 4, 0, 3, 0, 0, 1, 0, 1, 3, 4, 2, 3, 3, 0, 0, 4, 2, 1, 1, 0, 2, 4, 1, 2, 3, 4, 4, 1, 0, 2, 1, 3, 1, 4, 2, 0, 0, 1, 0, 3, 2, 1, 2, 0, 2, 3, 2, 1, 3, 4, 1, 4, 2, 3, 1, 2, 2, 3, 1, 4, 4, 1, 4, 4, 2, 1, 2, 2, 1, 1, 2, 4, 3, 2, 2, 3, 1, 1, 0, 2, 4, 1, 0, 0, 0, 4, 1, 4, 3, 3, 0, 3, 1, 3, 0, 3, 4, 0, 0, 1, 0, 2, 4, 0, 0, 4, 3, 2, 0, 4, 4, 2, 0, 4, 4, 3, 0, 3, 0, 4, 2, 2, 1, 2, 3, 3, 2, 0, 3, 2, 2, 3, 4, 0, 1, 0, 1, 3, 3, 2, 0, 2, 3, 1, 4, 4, 2, 2, 0, 2, 0, 1, 4, 4, 0, 4, 4, 4, 2, 1, 0, 4, 1, 4, 3, 3, 2, 1, 1, 4, 1, 4, 2, 3, 4, 1, 4, 0, 3, 2, 4, 3, 1, 1, 4, 4, 4, 0, 0, 2, 4, 1, 1, 1, 0, 3, 4, 0, 4, 4, 0, 2, 0, 3, 0, 4, 4, 3, 4, 4, 3, 3, 3, 3, 4, 1, 1, 2, 3, 2, 1, 0, 3, 0, 1, 3, 0, 3, 2, 1, 2, 0, 1, 0, 0, 2, 4, 1, 0, 1, 1, 2, 0, 1, 4, 1, 4, 3]
pubkeycol691 = [2, 4, 0, 4, 1, 4, 1, 2, 2, 1, 1, 1, 2, 0, 1, 3, 2, 0, 3, 1, 2, 0, 0, 2, 3, 4, 4, 3, 4, 3, 0, 2, 1, 1, 4, 0, 3, 4, 2, 2, 3, 1, 1, 2, 2, 0, 3, 2, 4, 3, 0, 4, 2, 4, 0, 4, 1, 1, 3, 3, 1, 1, 4, 3, 4, 4, 0, 3, 2, 2, 2, 3, 4, 0, 1, 0, 2, 3, 4, 0, 1, 4, 4, 3, 2, 4, 3, 3, 1, 1, 4, 4, 1, 0, 0, 2, 2, 1, 0, 3, 1, 3, 4, 2, 1, 0, 0, 1, 2, 3, 4, 3, 4, 3, 1, 1, 0, 2, 4, 1, 0, 0, 0, 2, 3, 2, 0, 3, 0, 2, 4, 2, 4, 4, 4, 3, 4, 1, 1, 0, 3, 1, 3, 2, 4, 1, 1, 3, 2, 3, 2, 1, 3, 1, 1, 1, 4, 3, 1, 4, 1, 2, 1, 0, 1, 0, 2, 3, 2, 4, 2, 2, 0, 2, 1, 3, 2, 1, 2, 4, 2, 2, 1, 4, 2, 4, 2, 0, 3, 4, 2, 2, 3, 1, 4, 4, 4, 1, 2, 0, 0, 0, 4, 3, 3, 2, 4, 2, 3, 0, 1, 2, 4, 2, 3, 1, 0, 0, 4, 3, 0, 4, 0, 3, 1, 3, 4, 1, 4, 0, 2, 1, 3, 1, 2, 1, 2, 2, 0, 1, 2, 4, 4, 4, 4, 2, 3, 3, 4, 2, 2, 1, 3, 3, 4, 0, 1, 0, 1, 2, 4, 2, 0, 1, 1, 3, 1, 3, 1, 0, 1, 3, 4, 0, 2, 2, 4, 4, 3, 4, 4, 3, 0, 1, 1, 3, 4, 4, 1, 2, 4, 3, 2, 4, 2, 3, 4, 0, 2, 1, 1, 0, 1, 3, 3, 3, 1, 4, 1, 0, 0, 0, 1, 0, 1, 1, 3, 1, 4, 2, 0, 3, 2, 0, 0, 2, 4, 0, 3, 0, 2, 0, 4, 0, 2, 4, 2, 0, 0, 0, 4, 1, 3, 3, 4, 1, 1, 1, 3, 2, 4, 1, 1, 2, 4, 4, 4, 4, 2, 1, 0, 1, 3, 0, 4, 3, 0, 0, 0, 4, 1, 2, 2, 1, 4, 3, 2, 1, 2, 1, 3, 2, 0, 3, 4, 2, 3, 2, 3, 0, 0, 3, 4, 4, 1, 1, 4, 4, 1, 4]
pubkeycol692 = [2, 4, 2, 1, 3, 2, 0, 1, 4, 2, 4, 2, 2, 0, 2, 2, 1, 0, 1, 4, 3, 0, 1, 1, 4, 4, 1, 2, 0, 3, 4, 1, 0, 2, 0, 3, 1, 2, 4, 4, 2, 2, 1, 4, 0, 2, 1, 3, 1, 3, 3, 0, 2, 4, 0, 4, 1, 3, 4, 3, 2, 0, 0, 3, 2, 4, 2, 0, 0, 2, 3, 2, 1, 3, 3, 0, 2, 4, 2, 4, 0, 4, 1, 4, 3, 2, 4, 3, 2, 3, 2, 1, 0, 3, 0, 4, 1, 1, 3, 1, 2, 0, 4, 4, 0, 3, 4, 2, 2, 1, 1, 1, 4, 3, 4, 0, 4, 3, 3, 3, 4, 4, 3, 0, 4, 3, 2, 4, 4, 2, 0, 0, 1, 0, 0, 4, 1, 4, 4, 1, 0, 3, 1, 2, 4, 2, 4, 4, 3, 3, 2, 2, 3, 2, 1, 4, 2, 1, 1, 1, 4, 2, 1, 1, 3, 2, 4, 3, 2, 0, 2, 0, 3, 1, 1, 4, 0, 2, 2, 3, 2, 1, 3, 3, 1, 1, 1, 3, 3, 2, 3, 0, 1, 0, 1, 3, 4, 3, 1, 2, 2, 2, 0, 1, 3, 4, 3, 2, 3, 2, 1, 2, 1, 4, 1, 3, 0, 2, 3, 3, 1, 3, 1, 3, 3, 0, 3, 4, 3, 2, 1, 4, 2, 3, 2, 1, 0, 2, 3, 4, 4, 3, 4, 0, 1, 0, 1, 1, 3, 0, 2, 1, 2, 4, 2, 1, 4, 0, 2, 4, 1, 0, 1, 0, 0, 3, 4, 2, 3, 2, 1, 0, 4, 1, 3, 4, 2, 1, 0, 3, 0, 0, 0, 1, 2, 4, 1, 2, 2, 4, 4, 0, 1, 1, 4, 0, 0, 4, 4, 1, 3, 0, 4, 4, 2, 2, 4, 2, 2, 2, 1, 1, 4, 0, 4, 1, 4, 0, 3, 4, 4, 4, 4, 0, 2, 1, 2, 1, 1, 3, 1, 0, 0, 4, 1, 1, 4, 3, 2, 1, 2, 0, 0, 3, 0, 2, 1, 0, 4, 4, 4, 1, 4, 3, 2, 3, 0, 1, 1, 4, 2, 3, 0, 4, 1, 4, 2, 1, 0, 1, 0, 0, 1, 1, 3, 1, 2, 2, 0, 3, 3, 2, 1, 1, 2, 1, 2, 4, 1, 4, 1, 4, 0, 1, 1, 1, 0, 0, 1, 1]
pubkeycol693 = [3, 3, 1, 4, 2, 3, 2, 0, 0, 4, 3, 1, 0, 3, 2, 2, 1, 4, 4, 4, 0, 0, 0, 1, 3, 4, 1, 3, 4, 3, 0, 1, 3, 4, 2, 4, 1, 0, 4, 3, 3, 1, 2, 0, 1, 3, 4, 0, 0, 3, 3, 0, 3, 3, 0, 1, 0, 0, 0, 3, 4, 1, 0, 2, 2, 2, 2, 0, 3, 1, 1, 4, 2, 1, 1, 2, 0, 3, 3, 4, 4, 3, 1, 2, 0, 2, 4, 4, 1, 2, 0, 0, 4, 2, 3, 2, 1, 2, 2, 2, 4, 2, 2, 2, 0, 0, 4, 3, 1, 0, 4, 4, 0, 2, 4, 2, 3, 3, 0, 2, 2, 0, 2, 1, 3, 3, 3, 1, 1, 0, 3, 2, 1, 1, 4, 1, 4, 0, 3, 1, 4, 0, 4, 2, 2, 4, 2, 4, 4, 4, 3, 2, 2, 0, 4, 2, 2, 4, 4, 4, 3, 4, 3, 4, 0, 3, 4, 3, 2, 2, 0, 2, 4, 3, 1, 3, 0, 2, 4, 1, 0, 2, 2, 0, 0, 4, 1, 4, 1, 1, 2, 0, 1, 3, 2, 0, 1, 0, 2, 0, 0, 4, 3, 4, 1, 4, 1, 2, 4, 3, 2, 0, 4, 3, 2, 0, 2, 4, 2, 0, 4, 3, 1, 0, 3, 1, 3, 1, 1, 1, 4, 3, 0, 4, 0, 1, 2, 1, 2, 3, 4, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 3, 0, 2, 3, 4, 2, 1, 4, 4, 3, 1, 4, 1, 2, 3, 0, 1, 3, 4, 0, 4, 0, 1, 2, 1, 1, 3, 4, 3, 0, 4, 3, 1, 2, 1, 1, 3, 0, 3, 4, 3, 0, 0, 0, 4, 1, 2, 0, 2, 4, 4, 0, 1, 4, 3, 3, 2, 1, 0, 4, 0, 3, 0, 3, 2, 1, 1, 4, 2, 3, 2, 2, 0, 4, 3, 3, 1, 4, 4, 1, 1, 4, 1, 0, 1, 3, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 3, 2, 1, 4, 1, 4, 0, 2, 1, 2, 2, 0, 3, 3, 0, 0, 0, 4, 4, 4, 0, 1, 0, 1, 4, 2, 3, 2, 0, 3, 2, 1, 1, 3, 1, 2, 2, 3, 4, 2, 0, 0, 4, 4, 2, 1, 0, 0, 4, 2, 3, 3, 4]
pubkeycol694 = [0, 2, 3, 1, 3, 2, 2, 4, 1, 4, 4, 3, 4, 2, 2, 3, 2, 3, 3, 2, 3, 2, 1, 3, 0, 3, 2, 1, 2, 3, 1, 1, 4, 3, 2, 1, 0, 2, 0, 4, 1, 0, 1, 2, 3, 2, 3, 4, 1, 0, 1, 2, 3, 2, 1, 3, 0, 0, 0, 2, 4, 3, 2, 1, 3, 3, 2, 1, 0, 0, 1, 2, 3, 1, 0, 3, 0, 3, 4, 4, 0, 3, 2, 4, 0, 1, 1, 4, 3, 2, 4, 0, 4, 3, 1, 3, 0, 3, 0, 0, 2, 4, 3, 2, 0, 4, 3, 0, 0, 1, 2, 0, 3, 3, 3, 1, 1, 1, 2, 3, 4, 1, 1, 2, 1, 2, 3, 4, 1, 4, 2, 4, 1, 3, 2, 2, 2, 2, 1, 0, 0, 3, 2, 3, 2, 0, 1, 4, 2, 0, 0, 4, 1, 4, 2, 4, 1, 0, 1, 2, 1, 3, 0, 0, 3, 1, 0, 0, 1, 2, 1, 2, 4, 1, 0, 0, 0, 4, 2, 2, 1, 2, 4, 2, 3, 0, 3, 2, 3, 1, 1, 0, 4, 3, 3, 1, 4, 2, 1, 2, 0, 2, 3, 3, 1, 1, 3, 2, 1, 1, 1, 4, 0, 3, 3, 0, 1, 4, 4, 4, 2, 1, 1, 2, 4, 0, 3, 2, 0, 3, 0, 4, 2, 2, 4, 3, 3, 0, 2, 4, 1, 0, 2, 4, 1, 4, 1, 0, 2, 3, 2, 4, 1, 0, 1, 3, 4, 4, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 3, 3, 2, 0, 0, 3, 3, 0, 4, 4, 1, 3, 4, 2, 4, 1, 4, 0, 1, 2, 1, 4, 1, 0, 4, 2, 1, 3, 0, 3, 4, 2, 3, 2, 1, 1, 0, 1, 2, 2, 3, 3, 4, 4, 3, 2, 4, 0, 1, 1, 1, 3, 2, 1, 0, 0, 1, 1, 0, 2, 0, 4, 4, 0, 1, 3, 4, 4, 4, 0, 0, 2, 1, 1, 4, 0, 2, 1, 1, 2, 2, 4, 0, 1, 0, 3, 3, 2, 4, 2, 3, 0, 4, 0, 2, 2, 2, 4, 4, 3, 0, 2, 3, 2, 4, 3, 2, 3, 3, 0, 1, 3, 4, 2, 2, 2, 0, 0, 0, 0, 1, 4, 0, 3, 4, 3, 4, 2, 1, 1, 0, 2]
pubkeycol695 = [4, 0, 4, 1, 3, 0, 1, 1, 2, 4, 0, 2, 0, 0, 3, 2, 1, 3, 4, 3, 2, 2, 4, 3, 2, 4, 3, 4, 4, 4, 1, 0, 2, 2, 4, 4, 2, 0, 1, 2, 3, 2, 2, 2, 4, 0, 3, 3, 1, 3, 3, 1, 3, 0, 0, 0, 4, 2, 4, 1, 3, 3, 0, 1, 0, 1, 0, 0, 2, 4, 4, 4, 1, 4, 1, 1, 2, 2, 0, 4, 1, 3, 1, 3, 0, 1, 1, 4, 3, 0, 1, 0, 4, 4, 4, 0, 2, 2, 4, 1, 4, 1, 3, 1, 2, 2, 4, 1, 4, 4, 3, 2, 2, 4, 0, 4, 3, 3, 2, 3, 3, 4, 2, 3, 1, 3, 0, 1, 4, 3, 4, 3, 4, 4, 4, 0, 1, 2, 3, 3, 1, 1, 0, 3, 3, 0, 3, 2, 1, 4, 3, 1, 4, 3, 3, 4, 4, 2, 1, 4, 1, 1, 3, 4, 3, 1, 2, 4, 0, 1, 2, 0, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 0, 1, 2, 2, 3, 4, 1, 1, 4, 1, 4, 1, 1, 1, 4, 2, 2, 0, 2, 1, 0, 0, 1, 2, 4, 0, 1, 2, 4, 4, 4, 4, 0, 1, 3, 0, 1, 0, 3, 1, 1, 4, 3, 4, 3, 2, 4, 3, 1, 3, 2, 0, 1, 4, 1, 4, 4, 2, 0, 4, 2, 1, 2, 2, 2, 2, 4, 4, 0, 4, 4, 1, 3, 0, 1, 4, 1, 4, 2, 3, 1, 4, 4, 0, 4, 3, 0, 3, 4, 4, 0, 2, 4, 0, 1, 3, 1, 1, 4, 0, 1, 3, 1, 2, 0, 1, 4, 0, 1, 1, 2, 4, 4, 0, 0, 2, 2, 1, 0, 1, 1, 1, 4, 2, 4, 2, 1, 2, 1, 2, 4, 0, 3, 3, 1, 1, 1, 3, 4, 2, 3, 3, 0, 1, 0, 1, 0, 3, 0, 3, 2, 3, 0, 1, 4, 3, 0, 2, 1, 4, 2, 3, 0, 4, 1, 3, 2, 3, 4, 2, 2, 3, 0, 2, 0, 2, 0, 1, 0, 4, 2, 3, 1, 1, 4, 4, 3, 0, 0, 4, 2, 0, 1, 4, 1, 1, 3, 0, 2, 3, 4, 2, 2, 4, 3, 3, 3, 2, 0, 2, 3, 4, 1, 2, 2, 0, 4, 0]
pubkeycol696 = [3, 2, 2, 0, 3, 3, 0, 3, 4, 2, 0, 4, 2, 1, 0, 2, 0, 0, 4, 3, 4, 1, 3, 2, 4, 1, 2, 0, 2, 4, 0, 1, 1, 0, 3, 4, 1, 2, 0, 1, 0, 1, 2, 0, 0, 4, 0, 0, 4, 1, 0, 4, 2, 2, 3, 2, 1, 0, 2, 1, 3, 4, 2, 4, 3, 2, 2, 1, 0, 0, 0, 4, 1, 2, 3, 4, 2, 0, 4, 2, 0, 2, 2, 0, 1, 4, 1, 2, 0, 3, 1, 2, 3, 2, 4, 1, 3, 3, 3, 1, 1, 3, 0, 2, 2, 1, 2, 3, 0, 3, 0, 0, 2, 2, 4, 3, 3, 2, 0, 3, 3, 4, 0, 2, 0, 0, 4, 2, 3, 1, 3, 4, 3, 0, 2, 0, 1, 1, 4, 3, 1, 1, 0, 2, 4, 1, 2, 1, 1, 4, 3, 2, 2, 0, 2, 2, 4, 0, 1, 3, 0, 4, 1, 2, 0, 0, 0, 0, 2, 0, 1, 4, 0, 0, 1, 3, 2, 4, 1, 2, 0, 3, 1, 4, 4, 0, 4, 0, 0, 4, 0, 1, 1, 2, 3, 4, 1, 2, 0, 3, 4, 2, 4, 0, 1, 2, 1, 4, 2, 3, 1, 2, 3, 0, 2, 2, 2, 3, 0, 1, 1, 3, 0, 2, 4, 3, 3, 3, 1, 0, 1, 1, 3, 4, 4, 0, 2, 4, 1, 0, 2, 0, 1, 0, 3, 1, 3, 1, 4, 1, 2, 3, 2, 4, 3, 2, 1, 2, 0, 4, 0, 3, 0, 1, 0, 3, 3, 2, 4, 4, 1, 1, 4, 1, 4, 1, 1, 3, 4, 3, 4, 4, 1, 0, 3, 0, 2, 3, 0, 3, 3, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 3, 3, 1, 0, 1, 3, 3, 0, 4, 0, 0, 4, 0, 3, 4, 0, 0, 4, 1, 3, 2, 2, 2, 0, 4, 3, 2, 0, 4, 0, 1, 0, 0, 3, 4, 0, 0, 4, 1, 2, 1, 3, 2, 2, 4, 2, 1, 3, 0, 3, 1, 0, 4, 1, 4, 1, 1, 3, 4, 4, 1, 4, 2, 3, 4, 1, 4, 2, 1, 3, 1, 3, 2, 1, 3, 3, 1, 0, 3, 3, 0, 0, 0, 2, 3, 1, 3, 2, 2, 4, 1, 2, 2, 0, 4, 1, 0]
pubkeycol697 = [0, 3, 3, 4, 1, 3, 0, 2, 4, 1, 3, 1, 3, 2, 4, 1, 2, 2, 3, 4, 2, 0, 4, 2, 3, 2, 3, 0, 4, 2, 2, 3, 3, 4, 1, 0, 1, 0, 0, 3, 4, 0, 4, 4, 4, 2, 3, 2, 1, 3, 2, 3, 0, 3, 2, 3, 1, 4, 1, 0, 3, 2, 4, 3, 1, 2, 1, 0, 4, 0, 0, 4, 2, 4, 2, 0, 3, 3, 0, 3, 1, 3, 3, 0, 4, 2, 1, 2, 1, 4, 2, 3, 4, 2, 2, 2, 4, 4, 4, 2, 1, 1, 2, 4, 3, 1, 1, 4, 0, 4, 4, 2, 1, 0, 0, 2, 2, 4, 1, 3, 2, 1, 4, 1, 4, 2, 0, 2, 3, 2, 4, 2, 3, 2, 3, 3, 3, 2, 1, 3, 0, 3, 0, 1, 3, 2, 2, 2, 1, 1, 3, 3, 1, 3, 0, 0, 1, 0, 1, 1, 1, 1, 3, 0, 2, 1, 0, 2, 4, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 3, 0, 0, 0, 2, 0, 2, 0, 4, 1, 2, 0, 1, 3, 4, 3, 4, 1, 1, 1, 1, 4, 3, 1, 4, 3, 3, 0, 4, 2, 2, 2, 2, 0, 2, 4, 3, 3, 0, 4, 4, 3, 1, 1, 2, 3, 0, 4, 0, 4, 0, 4, 1, 1, 4, 0, 3, 3, 2, 2, 0, 0, 3, 4, 1, 4, 2, 0, 4, 4, 0, 2, 3, 1, 0, 4, 4, 3, 3, 0, 1, 1, 2, 0, 1, 4, 4, 2, 4, 1, 3, 3, 0, 2, 2, 1, 2, 4, 4, 0, 2, 1, 2, 4, 4, 3, 0, 4, 4, 2, 1, 3, 2, 0, 4, 4, 4, 2, 1, 0, 4, 0, 1, 4, 1, 4, 2, 0, 0, 4, 4, 4, 3, 1, 1, 1, 4, 2, 2, 0, 4, 2, 0, 1, 1, 1, 0, 2, 0, 1, 4, 2, 0, 3, 2, 2, 1, 2, 4, 3, 1, 0, 2, 3, 0, 0, 0, 1, 1, 0, 1, 1, 3, 1, 4, 2, 4, 2, 3, 0, 2, 2, 4, 2, 4, 4, 1, 3, 0, 0, 4, 0, 2, 2, 2, 2, 2, 3, 2, 4, 2, 4, 1, 1, 0, 2, 0, 4, 0, 2, 2, 4, 1, 0, 4, 2, 3, 3, 2, 3, 0]
pubkeycol698 = [2, 1, 2, 1, 4, 1, 1, 3, 2, 4, 3, 4, 2, 1, 2, 1, 2, 3, 0, 1, 3, 1, 3, 0, 1, 1, 2, 3, 1, 2, 3, 4, 4, 3, 0, 1, 1, 3, 4, 1, 3, 3, 0, 3, 4, 0, 4, 0, 2, 2, 4, 2, 0, 3, 4, 2, 1, 3, 0, 0, 4, 0, 1, 0, 3, 4, 0, 0, 0, 4, 4, 0, 4, 1, 3, 2, 1, 4, 4, 2, 4, 1, 3, 0, 0, 2, 3, 2, 0, 0, 2, 0, 3, 3, 0, 2, 1, 1, 4, 0, 4, 1, 4, 3, 0, 2, 0, 1, 4, 0, 1, 3, 3, 1, 4, 0, 4, 3, 0, 1, 4, 1, 3, 0, 2, 0, 4, 3, 1, 3, 1, 4, 0, 2, 0, 4, 2, 2, 3, 1, 0, 4, 1, 2, 0, 4, 2, 2, 2, 3, 0, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 4, 0, 3, 2, 0, 1, 2, 0, 4, 4, 1, 1, 0, 2, 2, 4, 3, 1, 1, 3, 2, 2, 4, 3, 3, 2, 3, 4, 2, 2, 3, 2, 2, 2, 3, 2, 1, 3, 0, 2, 2, 1, 2, 0, 3, 1, 2, 4, 1, 1, 0, 0, 1, 2, 0, 3, 1, 2, 1, 4, 4, 0, 3, 2, 1, 1, 2, 0, 1, 0, 3, 2, 1, 4, 0, 4, 0, 4, 3, 3, 0, 0, 4, 1, 3, 2, 0, 3, 2, 0, 1, 3, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 1, 3, 4, 2, 0, 3, 4, 0, 3, 3, 2, 3, 0, 1, 4, 3, 3, 0, 1, 0, 4, 2, 4, 3, 1, 0, 3, 1, 0, 3, 2, 1, 2, 0, 0, 4, 1, 3, 1, 2, 2, 2, 4, 3, 2, 3, 4, 0, 3, 3, 3, 2, 1, 3, 0, 4, 4, 2, 3, 0, 1, 2, 1, 0, 0, 2, 0, 2, 4, 2, 2, 0, 2, 3, 2, 2, 2, 4, 0, 3, 4, 4, 0, 1, 3, 2, 1, 4, 1, 0, 0, 0, 2, 4, 1, 2, 0, 4, 4, 2, 1, 4, 0, 1, 4, 0, 4, 0, 4, 0, 3, 3, 3, 4, 1, 2, 2, 4, 3, 1, 1, 2, 4, 0, 1, 0, 1, 4, 2, 4, 2, 4, 4, 2, 3, 1, 2]
pubkeycol699 = [2, 1, 4, 4, 2, 2, 1, 2, 4, 1, 1, 4, 0, 4, 0, 0, 1, 4, 0, 4, 3, 2, 2, 2, 3, 3, 0, 1, 0, 2, 4, 0, 2, 4, 0, 0, 0, 2, 4, 0, 2, 2, 4, 4, 2, 2, 4, 2, 4, 4, 1, 1, 1, 0, 0, 4, 3, 1, 2, 1, 1, 4, 0, 3, 1, 2, 1, 4, 1, 3, 0, 1, 2, 3, 3, 0, 4, 1, 4, 2, 3, 2, 1, 1, 2, 4, 3, 0, 4, 0, 0, 4, 3, 3, 0, 2, 4, 3, 1, 0, 0, 0, 0, 3, 1, 2, 1, 1, 3, 0, 3, 3, 4, 1, 4, 3, 1, 4, 0, 3, 4, 0, 0, 1, 3, 4, 1, 0, 1, 1, 4, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 4, 2, 4, 0, 0, 1, 0, 0, 0, 4, 0, 3, 3, 1, 3, 2, 3, 3, 3, 3, 4, 1, 4, 3, 3, 0, 3, 4, 4, 2, 3, 2, 0, 1, 2, 2, 1, 3, 3, 1, 2, 4, 3, 2, 1, 3, 2, 3, 2, 0, 4, 1, 1, 3, 0, 0, 2, 3, 4, 0, 3, 1, 1, 4, 0, 0, 2, 3, 4, 0, 2, 3, 2, 4, 3, 1, 3, 4, 3, 3, 1, 4, 0, 3, 3, 3, 1, 1, 2, 2, 0, 0, 0, 1, 3, 1, 2, 2, 3, 4, 2, 3, 4, 2, 4, 4, 3, 0, 3, 0, 3, 3, 4, 2, 0, 1, 4, 2, 2, 2, 1, 4, 3, 1, 1, 3, 0, 3, 0, 0, 4, 4, 3, 0, 3, 0, 0, 0, 3, 2, 2, 0, 0, 4, 3, 2, 1, 0, 0, 0, 1, 1, 3, 0, 4, 3, 1, 3, 4, 2, 3, 4, 3, 2, 2, 4, 3, 4, 4, 0, 2, 2, 2, 3, 2, 1, 3, 1, 0, 2, 0, 2, 1, 4, 3, 4, 0, 2, 1, 3, 0, 0, 2, 0, 4, 4, 2, 4, 0, 4, 4, 2, 4, 0, 4, 2, 4, 0, 2, 4, 3, 4, 2, 2, 1, 1, 2, 2, 3, 3, 1, 3, 1, 4, 3, 0, 3, 3, 3, 0, 0, 3, 0, 1, 4, 0, 2, 3, 1, 2, 3, 2, 4, 0, 3, 2, 0, 2, 3, 0, 1, 2, 1, 2, 2, 1, 3]
pubkeycol700 = [4, 3, 1, 2, 4, 2, 2, 4, 0, 4, 4, 2, 0, 0, 1, 3, 0, 4, 3, 4, 2, 0, 1, 1, 0, 4, 3, 2, 2, 2, 0, 3, 1, 3, 4, 0, 0, 3, 1, 1, 4, 1, 2, 0, 4, 2, 2, 0, 2, 1, 0, 1, 4, 3, 1, 0, 2, 3, 2, 2, 4, 0, 3, 4, 2, 2, 4, 1, 0, 0, 0, 1, 2, 4, 1, 2, 4, 0, 3, 4, 3, 1, 4, 3, 3, 2, 0, 0, 2, 2, 1, 4, 2, 2, 1, 3, 0, 2, 0, 0, 3, 3, 4, 2, 1, 4, 3, 1, 0, 4, 0, 4, 1, 0, 2, 1, 3, 2, 0, 0, 2, 4, 1, 3, 3, 0, 4, 0, 3, 2, 0, 1, 1, 3, 4, 2, 2, 1, 4, 4, 1, 4, 4, 4, 3, 3, 0, 2, 1, 1, 1, 1, 3, 0, 2, 3, 1, 3, 1, 4, 4, 3, 4, 1, 1, 3, 2, 4, 3, 1, 2, 1, 1, 0, 2, 2, 1, 3, 4, 1, 1, 0, 2, 2, 4, 1, 0, 3, 4, 2, 0, 0, 2, 0, 4, 2, 1, 2, 4, 2, 0, 4, 1, 2, 2, 4, 2, 4, 3, 4, 2, 3, 0, 2, 3, 3, 1, 4, 4, 3, 3, 1, 4, 0, 1, 4, 2, 3, 3, 2, 0, 2, 3, 1, 4, 3, 1, 3, 2, 3, 0, 3, 0, 4, 1, 0, 3, 0, 0, 1, 4, 2, 3, 1, 0, 1, 0, 3, 3, 1, 2, 1, 2, 1, 3, 4, 3, 2, 4, 2, 0, 0, 4, 3, 4, 0, 4, 2, 4, 3, 2, 0, 0, 2, 2, 3, 4, 1, 4, 3, 1, 3, 2, 3, 2, 2, 4, 2, 2, 2, 4, 4, 1, 0, 4, 2, 3, 3, 2, 2, 4, 1, 4, 1, 2, 0, 0, 4, 3, 1, 1, 4, 1, 1, 1, 2, 2, 2, 4, 1, 1, 4, 1, 2, 3, 1, 0, 2, 1, 1, 4, 0, 2, 1, 4, 1, 2, 3, 2, 1, 1, 0, 0, 1, 3, 4, 2, 4, 4, 2, 1, 1, 4, 4, 2, 3, 3, 4, 4, 1, 4, 1, 3, 4, 2, 0, 4, 0, 4, 2, 0, 2, 4, 0, 2, 2, 4, 1, 1, 1, 0, 3, 4, 4, 4, 4, 1, 1, 1, 1]
pubkeycol701 = [1, 3, 1, 0, 1, 4, 2, 4, 3, 1, 0, 3, 1, 3, 0, 0, 3, 0, 1, 4, 4, 0, 4, 4, 1, 4, 3, 4, 4, 4, 2, 0, 0, 4, 4, 0, 1, 2, 0, 4, 4, 1, 1, 0, 1, 4, 1, 1, 0, 3, 3, 3, 1, 1, 1, 1, 1, 2, 0, 0, 4, 3, 1, 1, 2, 4, 2, 2, 2, 4, 2, 3, 0, 2, 3, 2, 0, 4, 1, 4, 4, 2, 1, 2, 1, 0, 1, 2, 4, 3, 0, 3, 0, 0, 4, 4, 1, 0, 3, 3, 4, 2, 4, 0, 3, 4, 4, 2, 0, 3, 2, 2, 2, 2, 1, 2, 3, 4, 3, 2, 3, 0, 0, 2, 4, 4, 4, 0, 2, 2, 2, 0, 4, 2, 3, 4, 2, 0, 4, 2, 0, 3, 0, 3, 2, 2, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 3, 1, 0, 4, 1, 3, 3, 1, 0, 0, 4, 0, 4, 1, 1, 0, 4, 3, 2, 1, 4, 4, 1, 4, 1, 2, 1, 2, 4, 2, 4, 0, 4, 1, 3, 0, 3, 0, 4, 1, 1, 2, 2, 0, 0, 1, 1, 1, 3, 4, 2, 3, 0, 4, 3, 2, 1, 0, 1, 3, 1, 1, 1, 1, 0, 4, 1, 3, 2, 3, 3, 4, 4, 2, 1, 1, 0, 3, 1, 3, 4, 2, 3, 1, 2, 4, 0, 2, 0, 1, 4, 1, 4, 0, 2, 3, 4, 1, 2, 2, 0, 1, 0, 4, 4, 2, 1, 3, 2, 3, 1, 2, 2, 0, 1, 1, 0, 3, 0, 3, 2, 1, 2, 2, 3, 3, 1, 3, 1, 1, 0, 1, 1, 2, 1, 0, 0, 3, 2, 0, 4, 3, 0, 4, 4, 2, 1, 1, 2, 3, 0, 3, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 3, 3, 0, 0, 4, 0, 4, 3, 2, 2, 0, 3, 4, 0, 0, 1, 2, 3, 2, 1, 1, 3, 0, 2, 2, 0, 4, 4, 0, 3, 0, 1, 3, 2, 4, 0, 2, 3, 4, 3, 0, 1, 1, 4, 2, 0, 1, 0, 3, 0, 3, 1, 1, 0, 0, 2, 0, 3, 1, 1, 0, 3, 1, 0, 3, 0, 2, 0, 2, 1, 0, 0, 3, 4, 3, 0, 2]
pubkeycol702 = [2, 2, 2, 3, 4, 2, 0, 3, 4, 4, 4, 3, 3, 1, 1, 0, 1, 3, 3, 1, 1, 4, 2, 4, 1, 3, 4, 4, 3, 1, 4, 1, 4, 3, 0, 2, 2, 2, 1, 0, 3, 0, 4, 0, 3, 0, 0, 4, 4, 3, 2, 0, 1, 4, 2, 2, 3, 1, 1, 1, 4, 0, 0, 4, 1, 3, 2, 3, 0, 3, 1, 3, 2, 4, 0, 1, 3, 4, 0, 4, 0, 0, 2, 0, 1, 1, 2, 4, 2, 1, 0, 4, 2, 1, 4, 2, 1, 0, 3, 0, 1, 0, 4, 1, 3, 2, 3, 3, 2, 3, 2, 1, 2, 4, 3, 1, 1, 3, 3, 2, 1, 4, 3, 3, 0, 4, 3, 3, 4, 4, 1, 1, 2, 4, 4, 4, 1, 4, 3, 1, 1, 4, 4, 4, 2, 0, 4, 2, 1, 3, 3, 1, 0, 3, 1, 2, 3, 0, 3, 3, 4, 0, 1, 3, 3, 2, 4, 0, 2, 0, 1, 4, 3, 1, 2, 0, 4, 1, 3, 3, 1, 4, 2, 4, 0, 4, 3, 4, 3, 2, 4, 2, 3, 4, 3, 0, 3, 4, 2, 2, 0, 4, 2, 3, 4, 1, 1, 0, 4, 0, 3, 1, 3, 0, 4, 0, 2, 1, 1, 3, 4, 0, 1, 4, 3, 2, 0, 2, 2, 0, 3, 4, 3, 4, 2, 1, 1, 1, 3, 1, 4, 4, 1, 3, 0, 2, 0, 4, 0, 3, 1, 0, 3, 3, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 1, 3, 2, 0, 1, 2, 3, 0, 2, 0, 3, 0, 1, 0, 0, 1, 4, 4, 3, 1, 4, 3, 3, 1, 0, 2, 2, 1, 0, 3, 1, 2, 3, 1, 0, 3, 1, 4, 1, 0, 4, 0, 4, 3, 1, 2, 0, 0, 0, 3, 0, 4, 3, 1, 2, 0, 0, 2, 4, 2, 1, 4, 4, 1, 3, 4, 1, 2, 4, 1, 2, 4, 1, 0, 2, 0, 0, 0, 4, 2, 3, 1, 0, 2, 4, 2, 0, 1, 3, 1, 1, 2, 4, 2, 0, 4, 2, 3, 3, 2, 1, 1, 0, 1, 4, 3, 3, 2, 3, 4, 2, 4, 4, 3, 3, 1, 0, 2, 2, 4, 3, 2, 3, 4, 3, 1, 2, 3, 0, 3, 3, 3, 2, 3, 2, 2]
pubkeycol703 = [3, 0, 4, 0, 2, 3, 2, 0, 1, 3, 3, 4, 0, 4, 1, 1, 3, 1, 0, 1, 1, 4, 3, 0, 3, 4, 3, 0, 0, 0, 3, 3, 3, 2, 0, 2, 0, 4, 0, 2, 2, 3, 1, 1, 3, 4, 4, 0, 1, 4, 4, 2, 2, 2, 3, 4, 2, 4, 1, 3, 4, 3, 1, 2, 2, 4, 0, 4, 2, 2, 4, 4, 3, 3, 0, 0, 3, 4, 1, 3, 3, 4, 2, 0, 1, 2, 0, 2, 0, 3, 0, 1, 3, 0, 1, 2, 2, 4, 2, 2, 2, 2, 2, 2, 4, 0, 3, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 4, 3, 1, 3, 0, 4, 3, 1, 4, 3, 1, 1, 3, 1, 0, 4, 2, 3, 1, 4, 2, 2, 4, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 3, 1, 4, 0, 3, 2, 4, 1, 0, 3, 3, 2, 4, 1, 3, 4, 0, 1, 3, 4, 3, 0, 1, 2, 1, 2, 3, 3, 0, 4, 2, 2, 3, 3, 3, 0, 4, 2, 4, 1, 2, 0, 3, 0, 3, 4, 3, 1, 0, 2, 4, 0, 3, 1, 0, 4, 0, 0, 4, 4, 1, 2, 4, 3, 4, 2, 1, 4, 3, 4, 3, 0, 1, 2, 2, 1, 0, 3, 1, 1, 0, 0, 3, 1, 3, 4, 0, 2, 1, 4, 4, 4, 4, 0, 3, 2, 1, 0, 1, 4, 4, 1, 4, 2, 3, 2, 2, 4, 1, 0, 3, 2, 3, 4, 2, 2, 0, 4, 1, 4, 1, 0, 4, 1, 0, 4, 0, 1, 3, 0, 4, 2, 0, 4, 2, 1, 2, 3, 0, 0, 4, 4, 2, 0, 1, 1, 4, 2, 0, 1, 4, 3, 2, 0, 3, 3, 4, 3, 0, 0, 0, 3, 2, 0, 1, 1, 1, 1, 2, 3, 2, 2, 3, 0, 2, 4, 2, 2, 2, 2, 3, 3, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 4, 0, 2, 4, 2, 2, 1, 2, 0, 2, 4, 3, 1, 3, 0, 1, 2, 3, 4, 3, 2, 4, 3, 1, 2, 4, 0, 3, 2, 1, 2, 0, 1, 3, 4, 4, 2, 2, 3, 2, 2, 3, 3, 2, 2, 3, 1, 1, 2, 4, 1, 2, 3, 0, 2, 0]
pubkeycol704 = [4, 0, 4, 1, 1, 0, 4, 2, 0, 3, 1, 4, 0, 4, 0, 4, 4, 0, 0, 1, 0, 2, 3, 3, 0, 3, 0, 2, 2, 3, 3, 0, 3, 1, 0, 2, 0, 0, 3, 1, 3, 3, 3, 1, 0, 0, 1, 0, 3, 0, 3, 3, 4, 2, 2, 4, 2, 1, 1, 4, 1, 0, 1, 3, 3, 4, 1, 0, 0, 0, 2, 1, 3, 3, 3, 3, 4, 3, 0, 1, 2, 4, 0, 1, 1, 0, 4, 4, 0, 0, 0, 1, 1, 4, 1, 4, 2, 3, 2, 3, 1, 4, 1, 4, 2, 4, 4, 4, 0, 2, 3, 3, 4, 3, 4, 4, 3, 3, 0, 0, 1, 0, 0, 4, 3, 4, 2, 1, 1, 1, 3, 3, 2, 2, 3, 0, 3, 2, 4, 3, 3, 3, 3, 4, 1, 2, 3, 1, 4, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 4, 1, 2, 4, 4, 4, 1, 2, 3, 0, 0, 2, 3, 4, 2, 4, 3, 4, 3, 0, 2, 0, 4, 0, 4, 3, 0, 0, 4, 1, 4, 1, 4, 3, 4, 0, 1, 1, 0, 2, 0, 0, 1, 0, 4, 4, 0, 0, 4, 1, 4, 4, 2, 2, 4, 1, 1, 4, 4, 3, 0, 0, 0, 1, 1, 4, 4, 1, 2, 4, 0, 3, 4, 1, 3, 4, 4, 3, 1, 0, 2, 3, 4, 1, 3, 2, 3, 3, 3, 3, 0, 4, 0, 2, 0, 3, 2, 0, 1, 0, 0, 4, 3, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 3, 2, 1, 4, 1, 3, 0, 4, 4, 4, 1, 3, 2, 1, 0, 4, 3, 1, 4, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 3, 1, 4, 0, 2, 2, 3, 1, 0, 3, 4, 4, 0, 4, 4, 2, 1, 3, 2, 1, 4, 0, 0, 1, 2, 1, 3, 3, 4, 2, 0, 3, 4, 3, 2, 4, 3, 2, 3, 1, 2, 4, 3, 3, 3, 2, 2, 1, 3, 0, 0, 4, 1, 3, 4, 1, 4, 2, 3, 4, 2, 0, 1, 4, 4, 0, 3, 2, 0, 4, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 3, 3, 1, 1, 0, 4, 2, 2]
pubkeycol705 = [0, 4, 4, 4, 2, 0, 1, 3, 0, 3, 1, 4, 0, 1, 1, 0, 4, 3, 0, 0, 2, 2, 2, 1, 0, 0, 3, 3, 3, 0, 2, 4, 0, 2, 3, 0, 3, 4, 1, 0, 2, 3, 1, 1, 0, 4, 0, 1, 2, 0, 0, 0, 3, 0, 4, 3, 2, 3, 3, 4, 3, 1, 3, 3, 2, 2, 0, 3, 4, 2, 4, 2, 2, 4, 2, 1, 0, 0, 1, 4, 4, 4, 4, 1, 1, 2, 1, 3, 4, 4, 0, 4, 0, 2, 4, 0, 4, 1, 1, 4, 0, 4, 1, 3, 0, 1, 3, 3, 3, 2, 1, 4, 1, 3, 3, 0, 1, 1, 1, 0, 2, 1, 2, 3, 2, 0, 2, 3, 2, 0, 2, 1, 3, 0, 4, 0, 3, 2, 3, 2, 1, 3, 2, 0, 4, 2, 1, 2, 0, 3, 3, 1, 1, 4, 0, 1, 0, 3, 3, 0, 0, 2, 0, 4, 2, 4, 4, 1, 3, 1, 3, 3, 3, 4, 3, 1, 2, 4, 2, 4, 0, 4, 4, 0, 0, 4, 3, 4, 2, 0, 2, 1, 1, 3, 0, 4, 3, 1, 2, 4, 0, 1, 3, 1, 2, 2, 2, 1, 2, 1, 3, 1, 3, 0, 0, 4, 3, 0, 4, 3, 0, 1, 0, 1, 4, 3, 0, 2, 4, 2, 1, 0, 4, 1, 2, 0, 0, 2, 2, 1, 0, 2, 3, 4, 0, 1, 4, 3, 4, 4, 3, 4, 2, 3, 0, 4, 2, 3, 4, 4, 2, 1, 0, 2, 4, 3, 4, 2, 1, 0, 2, 0, 2, 2, 1, 3, 4, 2, 3, 1, 4, 3, 3, 3, 2, 1, 3, 1, 4, 3, 0, 2, 1, 2, 4, 0, 0, 4, 3, 0, 2, 2, 1, 2, 2, 4, 1, 2, 3, 4, 3, 2, 2, 0, 0, 1, 2, 0, 3, 4, 3, 3, 3, 1, 1, 0, 1, 0, 3, 1, 3, 0, 3, 1, 2, 3, 3, 4, 3, 4, 4, 0, 4, 0, 3, 4, 0, 0, 1, 3, 0, 4, 2, 1, 2, 0, 3, 1, 1, 0, 0, 1, 2, 4, 4, 2, 0, 0, 3, 1, 3, 3, 4, 4, 0, 3, 3, 2, 4, 1, 1, 2, 2, 2, 4, 3, 0, 3, 0, 3, 2, 4, 1, 1, 1, 0, 1, 2, 1, 0]
pubkeycol706 = [0, 2, 3, 0, 2, 3, 1, 2, 4, 4, 4, 2, 1, 1, 1, 1, 4, 0, 3, 1, 2, 4, 2, 4, 1, 2, 4, 0, 3, 0, 1, 3, 1, 3, 1, 1, 3, 4, 3, 2, 1, 2, 0, 2, 4, 0, 1, 0, 1, 1, 4, 3, 3, 2, 1, 1, 4, 1, 0, 2, 4, 4, 2, 0, 1, 2, 2, 4, 4, 1, 4, 1, 3, 1, 3, 2, 2, 2, 4, 0, 3, 0, 3, 2, 2, 0, 1, 4, 0, 3, 4, 3, 2, 2, 2, 3, 2, 4, 1, 4, 2, 1, 2, 1, 0, 3, 3, 3, 1, 4, 0, 4, 4, 0, 1, 3, 2, 1, 1, 0, 3, 3, 2, 0, 2, 3, 2, 3, 4, 4, 0, 4, 2, 0, 0, 3, 2, 3, 1, 0, 3, 0, 4, 1, 3, 3, 0, 4, 4, 1, 3, 0, 1, 0, 3, 1, 1, 3, 0, 3, 2, 4, 2, 3, 1, 2, 0, 0, 2, 1, 4, 1, 4, 3, 3, 4, 4, 2, 0, 4, 3, 0, 3, 4, 0, 4, 3, 3, 2, 0, 3, 1, 0, 1, 1, 2, 4, 4, 2, 0, 2, 0, 2, 1, 3, 2, 4, 3, 3, 2, 1, 0, 4, 3, 1, 1, 2, 2, 4, 1, 4, 2, 1, 0, 0, 0, 0, 0, 1, 4, 2, 0, 0, 3, 2, 3, 1, 4, 0, 4, 3, 3, 1, 4, 1, 3, 4, 3, 3, 0, 0, 4, 4, 4, 0, 4, 2, 4, 1, 3, 4, 2, 0, 3, 3, 0, 2, 3, 1, 1, 3, 4, 1, 4, 1, 0, 1, 2, 1, 2, 0, 3, 0, 2, 3, 2, 1, 1, 2, 1, 2, 3, 2, 4, 2, 0, 3, 2, 1, 1, 3, 1, 1, 4, 0, 0, 0, 3, 0, 3, 1, 3, 4, 2, 1, 3, 4, 4, 1, 1, 0, 2, 0, 1, 1, 4, 1, 1, 2, 0, 0, 2, 1, 1, 2, 3, 3, 1, 4, 2, 2, 4, 4, 0, 4, 4, 0, 4, 0, 1, 2, 4, 3, 3, 3, 4, 0, 2, 1, 2, 1, 2, 1, 3, 1, 0, 1, 1, 2, 3, 1, 2, 4, 0, 2, 4, 4, 3, 4, 1, 0, 4, 3, 3, 1, 2, 4, 3, 3, 2, 2, 3, 3, 0, 2, 4, 1, 1, 2, 0]
pubkeycol707 = [3, 3, 3, 2, 3, 3, 0, 1, 1, 0, 4, 4, 1, 4, 4, 1, 3, 0, 4, 2, 2, 4, 2, 0, 1, 3, 3, 4, 2, 1, 3, 0, 3, 0, 0, 3, 2, 1, 1, 2, 3, 2, 1, 1, 4, 4, 3, 1, 3, 2, 3, 3, 4, 4, 1, 2, 0, 0, 3, 1, 0, 4, 1, 2, 0, 1, 1, 1, 0, 3, 1, 3, 2, 0, 2, 1, 0, 4, 4, 3, 0, 0, 2, 4, 4, 0, 3, 3, 3, 3, 4, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 4, 4, 2, 4, 0, 3, 2, 2, 3, 0, 1, 3, 1, 0, 1, 0, 4, 3, 3, 2, 0, 2, 0, 0, 0, 3, 0, 2, 0, 4, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 3, 3, 1, 0, 4, 3, 4, 4, 1, 2, 3, 1, 4, 3, 4, 4, 0, 0, 2, 4, 4, 3, 0, 2, 0, 1, 0, 4, 1, 0, 0, 3, 3, 2, 2, 0, 4, 2, 0, 4, 0, 0, 3, 3, 4, 3, 2, 0, 4, 2, 1, 1, 4, 0, 1, 4, 4, 3, 3, 4, 0, 3, 2, 2, 3, 4, 2, 0, 1, 2, 0, 2, 3, 1, 3, 4, 3, 2, 3, 3, 3, 0, 2, 1, 1, 0, 4, 3, 4, 4, 1, 1, 0, 3, 1, 1, 2, 4, 4, 1, 3, 0, 1, 1, 4, 1, 3, 0, 4, 3, 0, 1, 3, 3, 3, 4, 3, 3, 2, 2, 4, 2, 3, 3, 4, 1, 3, 3, 4, 3, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 4, 4, 1, 4, 2, 0, 2, 1, 4, 0, 0, 2, 1, 3, 0, 0, 0, 1, 0, 3, 3, 1, 1, 2, 4, 1, 3, 0, 2, 3, 0, 4, 1, 2, 3, 2, 3, 4, 1, 1, 1, 1, 3, 3, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 3, 0, 4, 0, 1, 0, 3, 2, 3, 0, 4, 0, 0, 2, 2, 3, 0, 2, 2, 4, 0, 0, 0, 1, 2, 2, 3, 3, 0, 2, 0, 0, 3, 3, 0, 1, 3, 3, 0, 0, 2, 3, 1, 4, 4, 1, 3, 0, 0, 3, 3, 1, 0, 4, 0, 0, 1, 3, 4, 0, 1, 1, 4]
pubkeycol708 = [4, 1, 2, 1, 2, 1, 4, 4, 4, 0, 4, 0, 3, 2, 2, 1, 0, 3, 4, 3, 3, 3, 4, 2, 3, 1, 4, 4, 4, 1, 3, 0, 4, 4, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 4, 4, 0, 4, 3, 3, 0, 0, 0, 2, 3, 2, 1, 1, 1, 3, 1, 0, 0, 0, 3, 2, 4, 3, 4, 4, 3, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 4, 2, 4, 2, 3, 0, 0, 0, 1, 2, 2, 0, 2, 4, 0, 4, 0, 0, 1, 4, 1, 2, 1, 3, 1, 2, 0, 0, 2, 1, 0, 3, 2, 3, 0, 3, 0, 1, 3, 3, 4, 2, 1, 1, 0, 1, 0, 4, 3, 4, 3, 4, 1, 4, 3, 3, 4, 3, 2, 4, 0, 0, 1, 4, 2, 2, 3, 1, 4, 2, 1, 1, 0, 1, 1, 1, 1, 4, 0, 2, 0, 3, 4, 3, 4, 1, 3, 3, 2, 0, 1, 3, 2, 4, 0, 1, 0, 0, 0, 3, 2, 3, 4, 1, 0, 2, 4, 3, 0, 2, 3, 3, 4, 2, 2, 4, 3, 4, 0, 3, 1, 4, 1, 4, 2, 3, 4, 0, 3, 4, 1, 2, 2, 4, 2, 2, 1, 3, 3, 1, 4, 3, 2, 2, 0, 2, 3, 0, 1, 2, 0, 0, 1, 4, 2, 0, 1, 2, 0, 3, 3, 2, 2, 4, 3, 4, 4, 4, 1, 3, 3, 4, 3, 2, 2, 3, 0, 4, 4, 1, 0, 4, 0, 3, 1, 4, 1, 2, 2, 1, 2, 2, 0, 0, 3, 0, 0, 0, 1, 1, 4, 0, 3, 2, 3, 0, 4, 4, 4, 0, 0, 3, 0, 3, 3, 2, 2, 0, 2, 2, 0, 0, 1, 0, 3, 3, 3, 3, 0, 3, 4, 3, 4, 2, 3, 3, 0, 4, 3, 4, 3, 3, 2, 0, 4, 0, 3, 3, 1, 4, 3, 3, 2, 3, 1, 1, 2, 4, 1, 3, 2, 4, 0, 4, 2, 4, 2, 1, 2, 3, 1, 1, 0, 2, 4, 3, 3, 3, 0, 3, 4, 0, 4, 1, 2, 2, 4, 0, 4, 3, 0, 1, 0, 1, 4, 3, 1, 0, 1, 2, 1, 3, 0, 3, 0, 1, 3, 3, 2, 1, 0, 0, 4, 1, 1]
pubkeycol709 = [3, 1, 1, 2, 3, 3, 0, 2, 2, 2, 1, 0, 0, 1, 1, 3, 3, 2, 4, 1, 4, 0, 2, 2, 0, 3, 2, 1, 1, 4, 3, 1, 4, 4, 4, 4, 2, 3, 1, 1, 3, 2, 0, 0, 0, 0, 0, 4, 3, 0, 4, 4, 2, 4, 0, 1, 4, 4, 1, 0, 2, 0, 3, 4, 1, 0, 4, 1, 1, 1, 0, 1, 0, 0, 3, 4, 0, 0, 1, 1, 0, 2, 4, 0, 4, 3, 1, 1, 4, 3, 1, 4, 1, 4, 2, 1, 0, 0, 0, 2, 2, 4, 3, 2, 4, 1, 0, 0, 2, 3, 2, 2, 4, 2, 3, 1, 0, 2, 4, 1, 1, 1, 3, 0, 1, 0, 3, 0, 2, 0, 3, 0, 0, 4, 2, 0, 1, 3, 0, 3, 1, 4, 4, 4, 3, 2, 2, 4, 2, 2, 0, 0, 2, 1, 3, 0, 0, 4, 0, 0, 1, 4, 1, 4, 3, 2, 0, 0, 4, 1, 2, 4, 1, 3, 4, 0, 4, 2, 2, 3, 0, 4, 0, 4, 2, 2, 3, 0, 3, 3, 4, 3, 2, 0, 4, 3, 3, 3, 3, 0, 3, 2, 4, 3, 4, 4, 4, 2, 4, 3, 4, 1, 1, 1, 4, 3, 3, 3, 1, 4, 0, 1, 4, 4, 2, 2, 0, 3, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 4, 0, 2, 4, 3, 4, 3, 0, 3, 1, 4, 0, 0, 4, 1, 3, 2, 3, 2, 4, 2, 0, 0, 0, 3, 3, 2, 1, 4, 0, 3, 4, 4, 4, 1, 4, 0, 1, 3, 0, 2, 2, 2, 3, 4, 2, 3, 2, 0, 1, 0, 0, 3, 0, 0, 3, 2, 2, 0, 4, 3, 4, 4, 1, 2, 0, 2, 0, 0, 2, 1, 3, 0, 2, 2, 4, 3, 4, 2, 1, 3, 1, 1, 3, 3, 2, 3, 4, 4, 0, 2, 0, 3, 2, 4, 2, 3, 2, 0, 1, 3, 3, 3, 3, 4, 3, 2, 2, 4, 4, 0, 2, 3, 3, 3, 4, 4, 3, 2, 2, 4, 1, 0, 1, 0, 4, 2, 4, 2, 4, 1, 4, 2, 4, 4, 4, 3, 1, 3, 4, 3, 4, 4, 0, 2, 3, 0, 3, 4, 3, 3, 0, 0, 3, 4, 1, 4, 2, 1, 4, 4, 2]
pubkeycol710 = [3, 4, 1, 2, 1, 3, 3, 2, 0, 4, 2, 1, 0, 4, 2, 4, 0, 4, 1, 1, 3, 0, 0, 0, 3, 2, 3, 0, 0, 3, 0, 1, 0, 0, 1, 2, 4, 3, 4, 4, 3, 0, 1, 3, 3, 4, 2, 2, 0, 3, 4, 0, 0, 3, 3, 2, 4, 2, 4, 0, 4, 0, 0, 4, 3, 1, 2, 2, 3, 4, 0, 4, 4, 4, 1, 2, 2, 0, 4, 1, 2, 4, 4, 2, 2, 0, 4, 0, 0, 0, 1, 1, 2, 4, 4, 3, 4, 2, 3, 0, 3, 0, 2, 2, 4, 0, 3, 1, 1, 0, 3, 3, 4, 4, 2, 2, 3, 3, 1, 4, 3, 2, 3, 3, 2, 2, 1, 0, 4, 1, 1, 0, 0, 4, 1, 4, 0, 3, 4, 1, 4, 0, 2, 3, 1, 0, 3, 4, 1, 1, 4, 2, 2, 4, 4, 0, 4, 2, 1, 2, 0, 0, 0, 3, 1, 4, 4, 2, 0, 0, 3, 1, 4, 3, 4, 3, 3, 3, 0, 2, 3, 4, 1, 0, 0, 4, 2, 1, 2, 2, 4, 1, 1, 3, 1, 2, 2, 2, 3, 0, 0, 1, 2, 2, 1, 0, 1, 0, 3, 4, 1, 1, 0, 0, 2, 0, 3, 0, 0, 3, 0, 3, 2, 2, 3, 2, 0, 3, 0, 3, 1, 4, 3, 0, 1, 4, 0, 2, 4, 0, 1, 1, 3, 1, 2, 3, 4, 0, 2, 3, 1, 0, 0, 0, 3, 1, 4, 2, 4, 0, 0, 4, 4, 2, 2, 0, 2, 2, 1, 0, 0, 0, 3, 3, 4, 4, 3, 1, 4, 3, 2, 1, 1, 4, 1, 3, 2, 1, 3, 3, 0, 3, 4, 2, 2, 0, 3, 3, 2, 0, 0, 0, 0, 2, 2, 0, 4, 2, 2, 3, 3, 4, 3, 0, 4, 4, 1, 2, 4, 0, 0, 1, 0, 0, 2, 1, 4, 1, 3, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 4, 4, 4, 1, 1, 0, 3, 1, 0, 3, 2, 1, 0, 4, 1, 3, 2, 2, 2, 3, 4, 4, 1, 2, 2, 0, 0, 2, 2, 4, 4, 2, 4, 4, 2, 1, 3, 1, 1, 1, 3, 2, 3, 0, 3, 1, 2, 2, 1, 2, 1, 0, 1, 0, 4, 0, 3, 4, 3, 0, 1]
pubkeycol711 = [0, 4, 0, 1, 4, 3, 4, 3, 1, 4, 0, 4, 0, 2, 1, 4, 1, 1, 2, 2, 1, 1, 2, 1, 3, 1, 0, 4, 1, 3, 2, 0, 2, 4, 4, 4, 3, 0, 3, 2, 4, 4, 1, 3, 0, 4, 0, 2, 0, 3, 1, 1, 4, 1, 2, 2, 3, 2, 0, 0, 4, 2, 1, 2, 3, 1, 0, 3, 2, 0, 0, 3, 0, 0, 2, 2, 2, 2, 4, 0, 0, 3, 1, 3, 1, 4, 3, 3, 1, 4, 0, 0, 3, 0, 3, 3, 1, 1, 1, 3, 3, 2, 2, 4, 4, 1, 3, 0, 3, 1, 0, 0, 0, 1, 0, 4, 1, 2, 3, 3, 2, 0, 0, 1, 0, 2, 3, 2, 1, 1, 4, 3, 3, 1, 2, 3, 3, 1, 2, 4, 2, 3, 0, 0, 4, 0, 3, 2, 3, 2, 0, 4, 2, 4, 4, 2, 3, 0, 1, 1, 4, 0, 4, 1, 1, 0, 2, 4, 2, 1, 0, 3, 4, 3, 2, 4, 1, 0, 0, 3, 4, 3, 3, 0, 2, 1, 4, 1, 3, 1, 0, 1, 2, 2, 1, 4, 1, 3, 0, 3, 3, 1, 3, 2, 2, 4, 0, 2, 1, 0, 1, 4, 0, 2, 2, 0, 2, 0, 3, 1, 0, 1, 4, 1, 4, 2, 1, 1, 4, 1, 4, 2, 2, 1, 1, 1, 2, 2, 0, 3, 0, 4, 0, 3, 1, 1, 4, 4, 1, 3, 4, 4, 3, 1, 4, 1, 2, 0, 4, 0, 1, 4, 4, 4, 3, 0, 4, 2, 3, 2, 0, 1, 0, 2, 3, 2, 0, 2, 3, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 2, 1, 4, 4, 1, 1, 3, 4, 0, 0, 4, 4, 1, 3, 1, 1, 3, 4, 0, 0, 2, 3, 3, 0, 3, 0, 2, 1, 1, 2, 3, 0, 1, 4, 4, 2, 0, 0, 4, 0, 2, 2, 3, 1, 1, 0, 2, 2, 2, 2, 1, 3, 1, 0, 2, 4, 4, 4, 1, 4, 0, 1, 2, 0, 0, 4, 3, 3, 2, 0, 1, 1, 0, 1, 0, 2, 0, 4, 1, 0, 3, 4, 3, 0, 4, 3, 3, 2, 0, 2, 0, 2, 0, 3, 4, 3, 2, 0, 2, 1, 4, 1, 0, 1, 4, 0, 2, 3, 4, 1, 2]
pubkeycol712 = [3, 1, 0, 3, 4, 3, 0, 4, 4, 3, 1, 1, 3, 0, 4, 2, 0, 0, 4, 0, 0, 3, 3, 0, 1, 1, 0, 0, 1, 1, 4, 3, 1, 3, 4, 3, 0, 1, 4, 4, 2, 3, 4, 2, 3, 4, 3, 1, 4, 0, 4, 1, 1, 4, 2, 2, 2, 4, 1, 3, 3, 0, 1, 1, 3, 3, 1, 1, 3, 2, 0, 4, 3, 4, 4, 4, 2, 4, 1, 0, 0, 1, 0, 4, 3, 4, 0, 3, 4, 4, 4, 3, 2, 2, 2, 4, 2, 0, 0, 1, 3, 4, 2, 2, 3, 3, 0, 1, 0, 3, 4, 2, 4, 2, 0, 4, 0, 3, 0, 1, 0, 0, 2, 2, 1, 3, 3, 1, 0, 2, 0, 1, 3, 3, 2, 3, 0, 4, 4, 0, 1, 2, 1, 4, 4, 0, 2, 4, 2, 3, 0, 1, 4, 1, 2, 2, 1, 0, 2, 1, 1, 4, 3, 0, 0, 3, 2, 1, 1, 2, 1, 1, 0, 1, 2, 3, 1, 0, 3, 0, 0, 4, 4, 1, 3, 2, 2, 0, 4, 0, 4, 0, 3, 1, 1, 3, 1, 4, 4, 2, 2, 1, 3, 0, 4, 1, 1, 4, 4, 3, 2, 1, 1, 4, 3, 4, 0, 3, 0, 4, 4, 3, 3, 0, 2, 0, 2, 2, 4, 0, 0, 4, 4, 4, 2, 2, 4, 2, 0, 3, 1, 0, 1, 0, 4, 1, 0, 1, 1, 4, 4, 2, 4, 0, 1, 2, 1, 2, 4, 0, 1, 4, 1, 2, 4, 0, 4, 1, 1, 1, 0, 2, 0, 3, 0, 1, 1, 4, 4, 2, 1, 0, 4, 0, 3, 4, 2, 4, 4, 3, 1, 0, 1, 4, 0, 3, 0, 0, 0, 4, 1, 1, 4, 2, 2, 3, 2, 1, 2, 3, 3, 3, 3, 4, 1, 4, 1, 3, 1, 1, 3, 2, 4, 3, 4, 4, 3, 3, 3, 2, 2, 2, 0, 4, 3, 1, 4, 3, 2, 2, 4, 3, 1, 3, 2, 2, 4, 1, 2, 4, 1, 2, 0, 3, 4, 3, 1, 3, 4, 2, 3, 1, 3, 4, 1, 2, 0, 2, 2, 3, 4, 4, 0, 0, 0, 2, 3, 3, 1, 2, 3, 2, 2, 3, 4, 1, 3, 4, 0, 3, 2, 4, 2, 0, 3, 2, 4, 4, 2, 1]
pubkeycol713 = [2, 4, 4, 2, 4, 3, 4, 4, 2, 3, 3, 0, 1, 2, 1, 4, 3, 3, 2, 4, 2, 3, 2, 4, 2, 0, 4, 3, 2, 3, 1, 0, 3, 2, 2, 1, 1, 3, 4, 3, 3, 0, 4, 2, 0, 2, 3, 0, 2, 2, 3, 0, 3, 2, 2, 2, 4, 1, 3, 4, 0, 3, 0, 2, 0, 4, 4, 2, 1, 4, 3, 2, 2, 2, 1, 4, 4, 1, 0, 4, 2, 2, 3, 0, 4, 0, 1, 0, 3, 1, 3, 3, 2, 4, 0, 4, 3, 4, 3, 3, 4, 4, 2, 2, 4, 4, 2, 2, 2, 1, 0, 2, 2, 1, 2, 4, 2, 0, 4, 3, 4, 3, 3, 2, 2, 4, 0, 1, 1, 0, 1, 2, 4, 0, 1, 4, 4, 0, 2, 3, 2, 4, 3, 4, 3, 0, 2, 2, 0, 3, 2, 2, 1, 4, 4, 3, 4, 3, 3, 1, 3, 1, 4, 1, 3, 1, 3, 0, 1, 0, 3, 2, 4, 2, 0, 0, 2, 4, 1, 4, 0, 1, 4, 3, 0, 3, 2, 4, 1, 3, 1, 1, 3, 2, 2, 2, 2, 4, 4, 0, 4, 0, 1, 4, 4, 0, 4, 0, 4, 2, 0, 2, 0, 4, 1, 1, 4, 2, 4, 1, 2, 2, 2, 1, 4, 2, 1, 4, 1, 0, 0, 2, 3, 4, 1, 4, 0, 1, 1, 0, 3, 3, 2, 4, 3, 4, 4, 2, 0, 4, 3, 0, 4, 4, 1, 3, 3, 0, 1, 2, 1, 4, 1, 2, 3, 3, 3, 4, 1, 1, 2, 2, 0, 0, 4, 0, 4, 4, 4, 4, 1, 1, 1, 0, 0, 0, 3, 3, 3, 1, 3, 4, 3, 0, 3, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 2, 0, 4, 1, 3, 3, 4, 4, 3, 4, 0, 3, 1, 4, 3, 4, 1, 4, 2, 0, 2, 4, 3, 2, 4, 0, 2, 1, 1, 3, 0, 4, 2, 0, 4, 1, 2, 1, 4, 0, 3, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 3, 0, 3, 4, 0, 4, 3, 1, 4, 0, 0, 2, 3, 0, 2, 2, 2, 0, 4, 0, 0, 4, 1, 0, 0, 0, 2, 4, 3, 4, 3, 4, 3, 2, 4, 0, 2, 4, 3, 1, 4, 1, 2, 3]
pubkeycol714 = [3, 4, 1, 1, 3, 0, 2, 3, 3, 3, 2, 4, 1, 1, 3, 1, 1, 2, 0, 2, 1, 4, 4, 0, 2, 0, 3, 1, 2, 4, 0, 2, 0, 3, 4, 3, 0, 2, 2, 2, 1, 4, 3, 3, 1, 4, 4, 1, 2, 3, 4, 1, 3, 2, 1, 3, 0, 4, 2, 2, 3, 4, 1, 3, 0, 1, 0, 0, 1, 3, 2, 4, 2, 2, 1, 1, 2, 3, 0, 2, 3, 1, 0, 2, 4, 4, 0, 3, 1, 3, 2, 4, 1, 4, 1, 1, 2, 0, 4, 3, 4, 1, 4, 0, 4, 0, 0, 0, 3, 4, 3, 1, 1, 1, 2, 0, 4, 4, 4, 4, 3, 2, 4, 4, 0, 4, 4, 2, 0, 3, 2, 3, 2, 1, 0, 4, 3, 1, 4, 3, 4, 3, 4, 3, 1, 4, 0, 3, 0, 2, 1, 1, 4, 1, 2, 0, 1, 3, 4, 3, 0, 1, 2, 4, 3, 4, 4, 1, 3, 2, 2, 2, 2, 0, 4, 2, 1, 2, 3, 4, 1, 0, 1, 3, 4, 3, 1, 3, 3, 4, 3, 1, 2, 1, 3, 4, 0, 4, 2, 2, 3, 4, 4, 2, 3, 3, 3, 1, 4, 2, 0, 2, 4, 2, 1, 2, 4, 2, 1, 4, 4, 4, 4, 3, 1, 3, 2, 1, 0, 2, 3, 4, 2, 3, 1, 4, 4, 3, 2, 2, 2, 0, 2, 4, 0, 0, 2, 2, 0, 0, 3, 3, 4, 2, 1, 3, 2, 1, 0, 0, 3, 2, 1, 3, 0, 3, 1, 4, 3, 3, 1, 3, 2, 3, 0, 4, 3, 0, 1, 4, 2, 4, 0, 1, 0, 2, 1, 0, 4, 2, 2, 3, 3, 1, 1, 0, 0, 3, 0, 2, 3, 2, 4, 2, 0, 0, 0, 3, 4, 0, 3, 0, 1, 0, 0, 4, 1, 0, 1, 4, 0, 3, 1, 3, 1, 0, 0, 0, 4, 1, 3, 1, 1, 4, 3, 1, 4, 4, 2, 3, 0, 1, 1, 2, 1, 1, 3, 2, 4, 0, 4, 3, 1, 2, 1, 2, 3, 2, 4, 2, 2, 0, 3, 2, 4, 0, 0, 4, 2, 4, 3, 3, 2, 0, 4, 3, 3, 2, 3, 1, 1, 2, 4, 3, 4, 3, 1, 0, 3, 2, 4, 2, 3, 3, 3, 2, 2, 4, 4, 4]
pubkeycol715 = [2, 1, 3, 1, 2, 0, 3, 3, 1, 0, 3, 3, 3, 1, 1, 2, 4, 4, 4, 0, 0, 2, 4, 3, 0, 2, 1, 4, 0, 3, 1, 0, 3, 1, 3, 1, 4, 4, 1, 4, 1, 3, 4, 1, 1, 1, 1, 1, 3, 4, 3, 1, 1, 4, 2, 4, 2, 1, 2, 2, 3, 1, 0, 0, 1, 3, 4, 0, 3, 0, 0, 1, 4, 0, 1, 0, 4, 0, 3, 1, 3, 3, 2, 3, 3, 0, 1, 0, 2, 2, 3, 3, 0, 3, 1, 0, 4, 3, 1, 2, 2, 1, 4, 1, 2, 4, 0, 2, 1, 2, 2, 1, 0, 0, 4, 4, 4, 3, 1, 1, 4, 3, 1, 4, 1, 4, 2, 1, 3, 3, 2, 1, 3, 0, 3, 4, 3, 4, 1, 4, 2, 1, 1, 4, 1, 4, 3, 4, 3, 2, 2, 4, 1, 0, 3, 0, 4, 2, 0, 4, 0, 0, 0, 3, 4, 2, 1, 1, 3, 4, 3, 1, 2, 1, 2, 1, 4, 1, 4, 0, 1, 0, 4, 1, 1, 0, 2, 3, 3, 1, 1, 2, 1, 3, 2, 2, 4, 4, 1, 2, 3, 0, 3, 4, 2, 1, 2, 3, 1, 0, 3, 3, 0, 1, 0, 0, 2, 2, 2, 4, 0, 2, 0, 1, 3, 2, 3, 3, 0, 4, 1, 3, 0, 2, 3, 3, 3, 2, 2, 0, 1, 3, 3, 3, 4, 3, 2, 1, 4, 1, 0, 0, 1, 0, 1, 0, 4, 3, 2, 0, 3, 2, 4, 0, 2, 0, 2, 4, 0, 1, 0, 1, 3, 2, 3, 2, 0, 3, 3, 3, 3, 0, 4, 2, 3, 4, 2, 1, 4, 1, 0, 4, 1, 4, 1, 2, 0, 0, 4, 2, 0, 3, 0, 0, 4, 2, 1, 1, 0, 4, 4, 4, 3, 2, 1, 2, 1, 3, 0, 0, 4, 0, 3, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 1, 2, 4, 3, 1, 3, 1, 4, 4, 4, 0, 2, 4, 2, 3, 2, 1, 3, 0, 2, 3, 4, 1, 4, 3, 3, 3, 2, 3, 0, 0, 1, 3, 0, 0, 0, 3, 2, 4, 3, 3, 0, 2, 2, 3, 2, 0, 2, 0, 3, 1, 1, 3, 3, 3, 3, 0, 2, 1, 3, 3, 4, 2, 4, 3, 3, 3]
pubkeycol716 = [2, 2, 2, 3, 2, 3, 1, 3, 1, 0, 3, 1, 4, 4, 2, 3, 1, 3, 2, 1, 3, 2, 0, 4, 1, 1, 4, 4, 0, 0, 3, 4, 4, 3, 1, 0, 4, 2, 2, 4, 1, 4, 4, 0, 0, 4, 3, 2, 3, 2, 0, 0, 1, 4, 2, 3, 1, 4, 2, 3, 1, 1, 3, 0, 3, 0, 1, 0, 3, 4, 3, 0, 2, 0, 2, 2, 3, 0, 3, 1, 3, 2, 2, 0, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 4, 2, 1, 3, 1, 3, 2, 0, 2, 1, 4, 1, 4, 0, 4, 3, 2, 2, 2, 4, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 3, 2, 4, 4, 4, 1, 0, 2, 2, 3, 3, 1, 3, 4, 1, 3, 4, 3, 4, 1, 1, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 2, 4, 3, 1, 1, 0, 1, 3, 1, 0, 2, 4, 0, 0, 2, 4, 3, 1, 3, 2, 0, 3, 4, 3, 4, 2, 0, 1, 4, 4, 3, 4, 0, 3, 2, 3, 0, 0, 3, 2, 3, 3, 1, 0, 4, 2, 1, 4, 3, 0, 0, 3, 2, 2, 4, 0, 0, 0, 2, 1, 3, 2, 4, 0, 2, 1, 4, 0, 2, 3, 3, 3, 1, 3, 1, 3, 1, 4, 0, 4, 1, 4, 2, 1, 3, 1, 0, 0, 2, 4, 2, 4, 4, 4, 2, 2, 2, 3, 4, 3, 3, 0, 3, 4, 1, 2, 3, 1, 0, 3, 4, 2, 2, 3, 4, 1, 2, 3, 1, 1, 0, 4, 4, 2, 0, 0, 2, 4, 3, 4, 4, 0, 0, 1, 2, 1, 4, 2, 0, 0, 4, 4, 0, 1, 0, 1, 1, 2, 4, 3, 4, 3, 3, 2, 3, 1, 2, 4, 4, 4, 3, 3, 4, 3, 0, 3, 4, 1, 2, 3, 0, 0, 4, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 4, 4, 2, 2, 2, 4, 2, 0, 4, 3, 4, 0, 1, 2, 2, 0, 4, 4, 1, 1, 1, 3, 3, 3, 4, 1, 1, 0, 1, 3, 0, 2, 4, 1, 3, 0, 2, 2, 1, 2, 4, 0, 0, 1, 4, 2, 2, 0, 4, 2, 2, 2, 3, 0, 1, 4, 3, 4, 3]
pubkeycol717 = [4, 2, 2, 4, 4, 1, 4, 2, 2, 1, 3, 2, 4, 2, 3, 3, 2, 2, 3, 3, 0, 2, 2, 2, 4, 0, 2, 4, 2, 3, 4, 3, 4, 2, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 4, 0, 0, 1, 4, 0, 0, 2, 4, 1, 2, 0, 0, 0, 2, 2, 4, 4, 3, 3, 0, 4, 1, 1, 1, 4, 0, 0, 4, 1, 4, 4, 3, 1, 1, 1, 4, 4, 3, 4, 4, 1, 2, 4, 3, 1, 0, 0, 1, 4, 3, 2, 4, 3, 1, 0, 3, 4, 4, 0, 4, 2, 4, 1, 1, 2, 2, 2, 1, 4, 0, 3, 4, 0, 1, 3, 0, 0, 4, 2, 2, 2, 3, 4, 1, 3, 3, 2, 4, 1, 0, 3, 0, 0, 3, 1, 3, 3, 3, 4, 4, 1, 1, 4, 3, 1, 1, 4, 3, 2, 4, 2, 0, 4, 0, 0, 2, 3, 4, 0, 2, 2, 4, 3, 3, 1, 1, 4, 4, 1, 0, 2, 2, 2, 4, 4, 2, 2, 0, 4, 1, 4, 4, 0, 1, 3, 3, 3, 0, 4, 3, 0, 2, 0, 1, 3, 4, 0, 2, 4, 0, 3, 2, 4, 4, 2, 3, 1, 0, 0, 1, 3, 2, 0, 1, 2, 4, 4, 1, 3, 4, 3, 2, 1, 4, 1, 3, 0, 4, 1, 2, 4, 2, 2, 2, 3, 1, 4, 0, 3, 0, 2, 0, 2, 1, 1, 0, 3, 2, 4, 3, 2, 2, 4, 0, 1, 4, 3, 3, 0, 4, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 4, 0, 4, 0, 4, 3, 0, 3, 4, 2, 4, 0, 3, 1, 0, 1, 1, 2, 4, 2, 1, 3, 4, 1, 2, 3, 4, 1, 1, 2, 4, 1, 3, 0, 1, 1, 3, 4, 3, 4, 1, 3, 1, 0, 2, 0, 3, 1, 0, 4, 0, 0, 1, 2, 3, 1, 0, 4, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 4, 3, 0, 4, 0, 1, 1, 3, 2, 4, 2, 2, 1, 0, 4, 1, 4, 3, 3, 1, 0, 0, 2, 3, 0, 2, 3, 2, 0, 2, 1, 2, 4, 3, 3, 1, 0, 3, 1, 2, 0, 3, 3, 1, 1, 4, 2, 0, 3, 2, 4, 0, 3, 4]
pubkeycol718 = [1, 1, 4, 1, 2, 0, 1, 2, 4, 3, 2, 4, 0, 3, 2, 3, 1, 3, 3, 2, 0, 4, 2, 4, 4, 2, 4, 0, 0, 1, 4, 1, 4, 3, 2, 0, 2, 0, 1, 2, 3, 1, 1, 0, 1, 1, 3, 4, 3, 0, 1, 2, 0, 3, 0, 3, 0, 0, 2, 3, 1, 4, 0, 0, 4, 3, 3, 3, 3, 2, 4, 4, 2, 3, 0, 2, 3, 3, 1, 3, 0, 2, 3, 4, 2, 0, 2, 4, 3, 3, 0, 3, 0, 4, 4, 2, 4, 4, 3, 1, 0, 0, 1, 2, 0, 2, 2, 2, 4, 2, 2, 2, 1, 3, 2, 2, 2, 0, 0, 3, 0, 0, 0, 4, 1, 0, 3, 0, 3, 0, 3, 3, 1, 0, 4, 0, 1, 0, 3, 3, 0, 1, 3, 0, 1, 3, 0, 4, 0, 1, 1, 1, 0, 2, 1, 1, 3, 3, 0, 1, 4, 3, 4, 2, 4, 0, 2, 0, 0, 4, 4, 3, 3, 2, 0, 0, 3, 1, 2, 3, 4, 1, 1, 0, 2, 0, 1, 1, 3, 1, 0, 3, 1, 3, 1, 4, 1, 1, 4, 4, 4, 3, 3, 3, 3, 4, 4, 1, 2, 0, 0, 3, 4, 2, 3, 4, 4, 2, 0, 1, 0, 4, 3, 0, 0, 2, 3, 0, 1, 1, 0, 2, 4, 4, 0, 2, 0, 3, 0, 4, 2, 3, 4, 0, 0, 4, 4, 3, 0, 3, 1, 2, 0, 3, 1, 0, 4, 3, 0, 3, 0, 4, 2, 0, 3, 1, 3, 0, 3, 3, 2, 0, 1, 2, 4, 2, 2, 3, 3, 1, 4, 2, 2, 1, 1, 4, 0, 0, 2, 2, 3, 1, 4, 3, 3, 0, 4, 0, 0, 0, 4, 4, 1, 3, 0, 3, 4, 4, 0, 0, 1, 0, 0, 1, 4, 1, 4, 0, 3, 4, 1, 4, 4, 2, 1, 3, 4, 2, 2, 1, 4, 4, 4, 1, 2, 4, 0, 4, 1, 4, 1, 2, 4, 0, 2, 1, 0, 4, 2, 2, 4, 3, 4, 1, 4, 2, 4, 0, 2, 1, 3, 0, 2, 2, 0, 0, 4, 3, 0, 0, 0, 2, 3, 0, 4, 2, 1, 4, 3, 2, 2, 0, 2, 1, 3, 0, 4, 1, 2, 0, 0, 3, 0, 2, 1, 3, 4, 4, 1, 3]
pubkeycol719 = [2, 2, 1, 4, 0, 2, 4, 1, 0, 0, 2, 3, 2, 0, 3, 2, 1, 1, 0, 0, 0, 3, 2, 4, 1, 2, 3, 4, 1, 3, 3, 2, 0, 3, 4, 2, 1, 0, 0, 1, 0, 1, 3, 0, 2, 1, 2, 3, 2, 1, 3, 4, 3, 4, 4, 1, 0, 3, 2, 1, 1, 3, 4, 2, 3, 4, 1, 0, 3, 3, 0, 1, 3, 3, 2, 3, 0, 2, 3, 4, 1, 1, 0, 3, 3, 3, 3, 1, 1, 4, 2, 0, 3, 3, 4, 1, 2, 4, 2, 0, 3, 4, 3, 1, 4, 2, 1, 1, 2, 4, 1, 4, 3, 2, 4, 0, 2, 4, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 3, 0, 0, 0, 4, 1, 3, 3, 1, 4, 4, 2, 1, 1, 1, 1, 3, 3, 0, 0, 0, 3, 2, 0, 4, 4, 3, 2, 3, 4, 0, 1, 1, 2, 4, 3, 4, 3, 2, 2, 0, 4, 4, 2, 3, 0, 4, 3, 4, 3, 1, 2, 0, 0, 4, 2, 1, 1, 4, 3, 3, 0, 4, 0, 3, 2, 2, 2, 4, 0, 0, 3, 1, 2, 1, 0, 3, 1, 3, 4, 4, 4, 2, 2, 2, 2, 1, 3, 0, 4, 1, 3, 3, 2, 1, 1, 4, 1, 2, 3, 3, 0, 3, 3, 1, 1, 0, 3, 1, 2, 3, 2, 0, 3, 0, 1, 2, 0, 2, 4, 0, 2, 1, 0, 2, 4, 2, 4, 0, 2, 1, 0, 4, 2, 0, 0, 0, 2, 4, 0, 4, 2, 3, 3, 2, 3, 1, 4, 1, 0, 0, 4, 4, 1, 3, 1, 0, 2, 3, 3, 0, 4, 0, 3, 0, 0, 3, 1, 1, 0, 0, 1, 1, 2, 2, 0, 3, 3, 0, 2, 1, 4, 4, 4, 3, 1, 4, 0, 1, 2, 3, 3, 0, 0, 3, 4, 1, 3, 4, 1, 1, 1, 3, 3, 0, 1, 4, 4, 1, 1, 1, 3, 1, 1, 3, 1, 4, 1, 0, 2, 2, 2, 3, 4, 3, 4, 0, 1, 0, 0, 2, 4, 1, 3, 3, 2, 1, 3, 4, 4, 2, 1, 2, 4, 2, 3, 2, 2, 3, 1, 2, 1, 3, 0, 4, 2, 0, 4, 1, 0, 0, 0, 4, 2, 4, 0, 2, 1, 4, 1, 3]
pubkeycol720 = [0, 3, 4, 2, 1, 2, 1, 0, 3, 3, 0, 0, 1, 0, 3, 0, 1, 1, 3, 4, 4, 4, 3, 4, 3, 4, 2, 0, 2, 0, 0, 3, 2, 1, 2, 0, 3, 3, 4, 0, 1, 2, 4, 0, 1, 4, 4, 4, 2, 3, 1, 1, 3, 3, 1, 3, 0, 2, 0, 4, 2, 0, 2, 3, 2, 0, 3, 1, 1, 4, 3, 2, 1, 3, 2, 1, 4, 3, 1, 4, 1, 4, 2, 4, 2, 0, 0, 2, 4, 1, 1, 3, 2, 4, 4, 4, 1, 2, 3, 3, 2, 0, 3, 1, 1, 4, 2, 1, 3, 3, 2, 0, 4, 0, 4, 0, 3, 2, 3, 3, 2, 1, 2, 4, 2, 3, 0, 4, 2, 0, 0, 0, 0, 1, 2, 1, 2, 3, 0, 3, 2, 3, 0, 1, 0, 4, 4, 4, 4, 2, 3, 0, 1, 1, 4, 0, 0, 0, 1, 0, 2, 2, 2, 3, 2, 2, 3, 4, 2, 0, 2, 3, 2, 3, 0, 1, 2, 4, 3, 1, 4, 3, 4, 2, 0, 4, 3, 3, 2, 0, 1, 3, 1, 3, 4, 0, 1, 0, 2, 1, 3, 2, 0, 3, 0, 2, 0, 4, 0, 0, 4, 0, 4, 2, 3, 1, 1, 3, 1, 2, 2, 0, 2, 0, 1, 4, 1, 2, 1, 2, 3, 2, 2, 4, 1, 2, 4, 1, 0, 2, 0, 2, 0, 2, 4, 4, 2, 0, 0, 4, 3, 2, 3, 1, 3, 0, 1, 3, 2, 4, 4, 2, 4, 1, 4, 0, 4, 4, 1, 1, 1, 0, 3, 0, 3, 3, 4, 1, 3, 2, 1, 3, 3, 4, 4, 2, 2, 2, 0, 4, 4, 4, 4, 1, 0, 0, 4, 0, 2, 4, 0, 2, 0, 3, 4, 1, 3, 1, 3, 4, 2, 2, 2, 3, 1, 2, 4, 1, 0, 1, 1, 1, 3, 1, 3, 0, 2, 1, 4, 0, 4, 3, 3, 3, 2, 1, 0, 3, 2, 2, 0, 3, 2, 4, 3, 3, 2, 3, 1, 4, 2, 4, 3, 0, 4, 0, 4, 0, 1, 4, 4, 2, 2, 2, 2, 2, 3, 2, 0, 4, 4, 4, 2, 3, 2, 0, 2, 2, 0, 3, 4, 2, 0, 4, 0, 4, 1, 3, 2, 2, 0, 1, 2, 0, 4, 1, 0, 0, 1, 1]
pubkeycol721 = [3, 4, 2, 1, 4, 3, 2, 0, 3, 3, 4, 2, 1, 4, 2, 2, 3, 4, 2, 3, 1, 3, 2, 3, 0, 3, 4, 1, 2, 2, 2, 1, 3, 0, 3, 1, 3, 2, 3, 2, 1, 2, 4, 0, 0, 1, 1, 4, 2, 1, 1, 4, 1, 3, 2, 0, 4, 4, 4, 2, 3, 3, 1, 1, 1, 1, 3, 3, 4, 4, 0, 2, 1, 4, 0, 1, 2, 0, 4, 3, 0, 0, 1, 3, 4, 2, 4, 2, 3, 4, 1, 1, 4, 4, 3, 2, 1, 0, 1, 2, 4, 4, 2, 1, 4, 2, 3, 1, 2, 1, 1, 0, 4, 0, 2, 2, 1, 3, 1, 1, 1, 2, 2, 0, 4, 2, 4, 4, 0, 1, 3, 3, 1, 3, 1, 3, 3, 1, 1, 2, 4, 0, 2, 4, 0, 2, 0, 0, 3, 3, 4, 2, 1, 2, 2, 4, 2, 0, 4, 3, 2, 3, 0, 3, 4, 1, 1, 1, 0, 4, 4, 3, 1, 4, 4, 4, 3, 1, 3, 1, 1, 1, 4, 1, 3, 1, 1, 0, 3, 4, 1, 0, 3, 1, 4, 2, 2, 4, 0, 3, 1, 1, 0, 1, 0, 1, 1, 4, 0, 3, 0, 0, 0, 1, 0, 0, 2, 2, 0, 4, 3, 3, 0, 3, 2, 3, 0, 2, 0, 0, 1, 0, 2, 4, 1, 0, 3, 0, 0, 3, 1, 2, 4, 1, 0, 4, 2, 3, 3, 4, 1, 3, 0, 1, 4, 0, 0, 0, 4, 3, 1, 3, 3, 0, 3, 0, 1, 1, 3, 1, 3, 4, 1, 0, 1, 0, 4, 2, 3, 2, 0, 0, 4, 4, 4, 1, 2, 4, 0, 2, 2, 2, 1, 2, 1, 3, 2, 2, 1, 3, 2, 0, 4, 3, 0, 4, 4, 0, 2, 1, 2, 2, 1, 4, 4, 4, 2, 0, 1, 3, 3, 2, 0, 1, 2, 0, 3, 2, 1, 1, 4, 3, 3, 3, 1, 2, 4, 1, 4, 0, 4, 1, 2, 4, 1, 1, 0, 3, 2, 0, 3, 0, 4, 0, 1, 2, 4, 4, 4, 1, 0, 0, 3, 2, 0, 2, 0, 2, 1, 0, 2, 3, 4, 1, 1, 2, 1, 0, 1, 0, 4, 2, 2, 3, 4, 0, 3, 3, 0, 3, 0, 1, 4, 1, 0, 2, 3, 1, 1, 2]
pubkeycol722 = [2, 0, 3, 1, 3, 0, 1, 1, 2, 2, 1, 4, 4, 1, 3, 3, 2, 1, 4, 4, 0, 3, 3, 1, 1, 1, 2, 4, 3, 3, 1, 0, 2, 0, 4, 1, 2, 4, 0, 1, 4, 1, 2, 0, 1, 4, 4, 0, 3, 4, 0, 3, 2, 3, 2, 0, 0, 2, 0, 4, 3, 4, 3, 4, 3, 2, 4, 0, 2, 0, 2, 3, 0, 4, 0, 4, 0, 1, 0, 1, 4, 3, 3, 3, 2, 4, 1, 1, 0, 0, 3, 1, 0, 3, 3, 1, 0, 1, 3, 0, 0, 4, 1, 3, 3, 1, 1, 3, 0, 3, 4, 3, 4, 0, 2, 0, 1, 4, 1, 2, 4, 1, 3, 3, 1, 3, 2, 0, 0, 4, 4, 2, 1, 1, 0, 3, 0, 1, 4, 4, 2, 0, 1, 0, 4, 4, 1, 2, 0, 0, 0, 0, 4, 4, 4, 3, 0, 3, 2, 3, 4, 1, 1, 4, 0, 2, 4, 4, 4, 0, 3, 0, 0, 3, 2, 3, 1, 0, 2, 4, 4, 2, 4, 0, 4, 0, 1, 0, 0, 0, 1, 3, 1, 1, 4, 1, 2, 3, 1, 3, 1, 4, 4, 2, 4, 2, 3, 2, 0, 2, 0, 2, 4, 2, 4, 1, 0, 2, 2, 2, 4, 1, 1, 0, 3, 0, 3, 2, 3, 2, 2, 2, 1, 0, 3, 1, 0, 0, 2, 1, 3, 1, 3, 0, 3, 0, 4, 2, 2, 4, 0, 3, 0, 4, 1, 2, 2, 0, 4, 2, 1, 2, 3, 1, 4, 3, 3, 4, 2, 2, 2, 0, 1, 2, 2, 3, 0, 3, 0, 4, 1, 3, 3, 0, 2, 3, 0, 0, 2, 4, 2, 2, 1, 2, 1, 4, 2, 2, 3, 0, 3, 4, 1, 4, 0, 3, 2, 2, 1, 4, 1, 0, 2, 1, 4, 0, 1, 3, 3, 2, 3, 3, 2, 3, 2, 2, 0, 3, 2, 3, 4, 0, 2, 1, 2, 4, 2, 1, 3, 2, 4, 2, 4, 4, 1, 0, 4, 2, 2, 4, 3, 3, 3, 2, 1, 2, 3, 0, 0, 1, 2, 3, 0, 1, 3, 0, 4, 1, 3, 0, 1, 0, 1, 2, 1, 0, 3, 2, 0, 1, 3, 1, 1, 1, 1, 0, 2, 1, 4, 3, 0, 4, 2, 1, 1, 4, 2, 2, 2, 4]
pubkeycol723 = [3, 2, 0, 1, 0, 2, 4, 3, 2, 0, 3, 3, 2, 2, 4, 2, 3, 3, 0, 0, 0, 0, 1, 1, 3, 4, 1, 4, 1, 3, 4, 4, 0, 4, 4, 1, 1, 4, 3, 3, 3, 3, 2, 3, 2, 2, 2, 0, 4, 1, 4, 2, 0, 4, 1, 4, 2, 1, 2, 4, 1, 0, 0, 1, 2, 1, 3, 2, 4, 1, 2, 4, 2, 3, 2, 0, 1, 1, 0, 2, 3, 4, 4, 1, 2, 3, 3, 3, 2, 0, 1, 1, 1, 3, 0, 2, 4, 3, 3, 4, 4, 2, 4, 0, 4, 4, 2, 4, 2, 2, 0, 2, 4, 4, 2, 0, 1, 1, 1, 0, 3, 0, 2, 0, 1, 2, 1, 2, 3, 4, 1, 1, 0, 0, 3, 3, 1, 4, 3, 2, 3, 2, 0, 3, 4, 1, 0, 4, 4, 1, 0, 1, 3, 3, 3, 3, 4, 0, 1, 0, 1, 4, 4, 3, 1, 2, 0, 4, 4, 2, 0, 3, 0, 3, 3, 2, 2, 3, 3, 3, 4, 3, 2, 3, 1, 2, 0, 2, 4, 3, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 4, 4, 0, 4, 0, 0, 4, 1, 0, 2, 4, 0, 1, 3, 0, 1, 2, 4, 1, 3, 4, 4, 1, 3, 2, 2, 3, 4, 3, 1, 2, 3, 3, 1, 0, 3, 4, 2, 2, 0, 2, 1, 3, 3, 3, 2, 3, 0, 3, 2, 1, 4, 3, 4, 2, 1, 4, 3, 3, 0, 2, 1, 0, 2, 2, 0, 3, 3, 1, 1, 1, 1, 3, 1, 2, 3, 1, 3, 2, 3, 3, 4, 2, 3, 2, 4, 4, 2, 2, 0, 1, 2, 2, 2, 3, 1, 4, 0, 3, 0, 2, 3, 0, 0, 3, 2, 3, 1, 3, 0, 1, 1, 3, 0, 3, 1, 1, 2, 3, 0, 3, 2, 4, 4, 2, 4, 2, 1, 0, 4, 0, 4, 0, 2, 0, 1, 2, 3, 0, 4, 4, 4, 3, 0, 0, 0, 2, 0, 4, 0, 1, 1, 2, 3, 3, 0, 1, 3, 3, 4, 0, 1, 4, 2, 0, 3, 1, 3, 0, 2, 4, 0, 2, 4, 2, 1, 1, 4, 2, 1, 3, 4, 2, 4, 3, 0, 2, 4, 1, 1, 2, 3, 1]
pubkeycol724 = [3, 4, 4, 1, 2, 2, 3, 2, 2, 0, 3, 1, 4, 0, 1, 1, 1, 2, 2, 3, 1, 0, 2, 0, 3, 0, 2, 0, 3, 1, 2, 4, 3, 0, 4, 3, 1, 1, 2, 0, 3, 2, 4, 1, 3, 2, 0, 2, 1, 2, 1, 4, 4, 2, 1, 3, 2, 4, 4, 1, 4, 4, 1, 0, 3, 3, 2, 4, 1, 3, 4, 0, 1, 4, 3, 0, 2, 4, 4, 2, 4, 0, 4, 0, 4, 3, 1, 0, 4, 0, 3, 4, 3, 2, 1, 1, 4, 3, 3, 2, 0, 3, 3, 4, 0, 0, 4, 3, 1, 2, 0, 3, 0, 2, 1, 1, 4, 2, 0, 0, 3, 2, 2, 1, 0, 0, 2, 1, 4, 3, 2, 1, 1, 4, 4, 2, 2, 3, 0, 0, 2, 3, 4, 3, 2, 2, 0, 1, 0, 4, 3, 3, 4, 1, 3, 4, 2, 2, 1, 4, 1, 2, 4, 3, 4, 3, 3, 0, 1, 2, 4, 2, 3, 1, 3, 4, 4, 1, 0, 0, 2, 0, 0, 1, 2, 0, 3, 0, 3, 2, 3, 2, 1, 3, 0, 1, 3, 2, 4, 1, 2, 2, 3, 2, 0, 2, 1, 4, 2, 2, 3, 1, 4, 4, 4, 0, 3, 1, 4, 0, 0, 4, 1, 1, 1, 4, 3, 0, 3, 3, 0, 4, 0, 4, 3, 2, 4, 1, 3, 2, 2, 0, 0, 3, 2, 1, 3, 2, 1, 3, 3, 3, 2, 4, 2, 1, 2, 3, 2, 2, 4, 3, 0, 4, 0, 0, 4, 1, 4, 3, 3, 4, 0, 2, 4, 3, 2, 3, 3, 2, 4, 4, 2, 2, 3, 2, 3, 4, 1, 4, 3, 0, 0, 4, 2, 4, 4, 2, 0, 1, 1, 3, 3, 1, 0, 2, 2, 3, 0, 0, 4, 4, 4, 4, 1, 1, 0, 3, 1, 1, 4, 2, 2, 2, 0, 3, 1, 0, 1, 2, 3, 2, 1, 1, 3, 3, 3, 4, 2, 0, 3, 0, 3, 4, 0, 3, 0, 0, 4, 3, 4, 1, 3, 2, 1, 4, 0, 3, 3, 4, 2, 2, 4, 1, 0, 0, 0, 4, 2, 0, 3, 4, 1, 4, 0, 0, 0, 1, 0, 3, 0, 3, 3, 0, 2, 4, 0, 0, 3, 0, 0, 1, 4, 4, 1, 2, 2, 0, 3, 4]
pubkeycol725 = [0, 3, 1, 4, 2, 1, 4, 1, 4, 4, 2, 2, 3, 1, 3, 1, 4, 0, 3, 2, 2, 2, 1, 1, 3, 1, 4, 3, 2, 0, 0, 3, 3, 3, 2, 3, 4, 2, 3, 2, 3, 0, 0, 4, 2, 4, 3, 0, 4, 1, 2, 3, 1, 1, 3, 2, 1, 0, 3, 1, 0, 4, 2, 4, 3, 4, 1, 4, 3, 1, 4, 2, 2, 3, 4, 0, 4, 4, 4, 0, 0, 0, 1, 3, 1, 0, 1, 0, 4, 0, 3, 4, 4, 1, 4, 2, 1, 3, 0, 2, 4, 0, 1, 0, 0, 3, 1, 3, 2, 3, 0, 3, 0, 4, 4, 2, 2, 0, 0, 1, 3, 3, 4, 4, 2, 4, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 4, 1, 2, 4, 4, 2, 2, 3, 1, 3, 2, 1, 3, 2, 2, 4, 0, 4, 3, 2, 1, 2, 4, 3, 3, 4, 1, 1, 0, 3, 4, 0, 2, 4, 3, 0, 3, 0, 0, 2, 2, 0, 2, 2, 4, 2, 4, 4, 2, 2, 4, 4, 1, 4, 3, 4, 2, 4, 1, 1, 3, 4, 1, 1, 3, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 4, 3, 3, 0, 3, 1, 2, 4, 3, 3, 0, 2, 3, 4, 1, 4, 4, 1, 2, 1, 2, 0, 1, 3, 0, 1, 1, 1, 2, 2, 0, 0, 2, 4, 0, 1, 0, 2, 1, 1, 2, 0, 4, 2, 3, 1, 3, 2, 3, 0, 3, 2, 2, 0, 0, 1, 2, 1, 3, 4, 4, 3, 4, 1, 0, 4, 2, 3, 1, 0, 2, 1, 0, 1, 0, 4, 2, 1, 1, 3, 2, 3, 1, 4, 4, 2, 0, 4, 2, 4, 0, 3, 2, 3, 1, 1, 1, 3, 3, 3, 4, 1, 4, 1, 4, 0, 0, 0, 4, 1, 1, 4, 1, 1, 1, 0, 0, 3, 2, 4, 3, 4, 4, 4, 3, 4, 4, 4, 2, 4, 0, 2, 2, 3, 1, 3, 0, 0, 4, 2, 4, 0, 4, 0, 1, 0, 1, 3, 3, 4, 2, 1, 2, 3, 3, 0, 0, 1, 4, 1, 0, 2, 4, 0, 0, 4, 2, 4, 4, 1, 4, 1, 3, 0, 4, 4, 1, 1, 1, 4, 0, 2, 1, 1, 4]
pubkeycol726 = [4, 2, 1, 3, 3, 4, 2, 0, 0, 4, 0, 1, 0, 4, 4, 2, 3, 2, 4, 3, 2, 0, 3, 1, 1, 1, 3, 3, 3, 3, 2, 1, 4, 2, 4, 0, 3, 4, 0, 4, 3, 2, 1, 2, 4, 1, 3, 1, 0, 1, 3, 1, 3, 0, 0, 2, 3, 1, 0, 3, 3, 3, 0, 4, 0, 4, 4, 4, 1, 4, 1, 1, 4, 2, 4, 0, 3, 2, 3, 1, 2, 0, 3, 3, 2, 2, 4, 1, 4, 3, 1, 1, 2, 3, 2, 1, 4, 1, 2, 4, 0, 0, 1, 3, 0, 2, 0, 0, 1, 3, 1, 3, 0, 1, 0, 1, 1, 3, 0, 3, 3, 3, 3, 0, 3, 0, 2, 0, 3, 1, 4, 1, 3, 3, 1, 3, 0, 0, 4, 4, 3, 1, 0, 2, 3, 2, 4, 0, 2, 0, 4, 2, 2, 2, 4, 2, 1, 1, 2, 4, 2, 0, 0, 4, 4, 4, 3, 4, 0, 2, 2, 3, 3, 4, 0, 3, 3, 1, 0, 0, 0, 2, 4, 4, 0, 1, 1, 3, 1, 3, 2, 3, 1, 2, 2, 0, 0, 0, 4, 0, 0, 4, 0, 2, 0, 4, 2, 0, 2, 1, 2, 3, 4, 0, 0, 1, 4, 4, 1, 0, 4, 4, 3, 3, 4, 1, 4, 2, 2, 1, 0, 2, 3, 2, 3, 4, 2, 2, 2, 2, 1, 0, 2, 1, 3, 2, 0, 1, 3, 2, 4, 3, 1, 3, 1, 0, 0, 4, 1, 3, 4, 1, 4, 2, 3, 0, 4, 1, 3, 2, 3, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1, 1, 4, 1, 4, 3, 1, 1, 3, 2, 1, 4, 4, 4, 1, 1, 1, 0, 0, 0, 3, 0, 1, 1, 1, 0, 0, 0, 1, 2, 4, 1, 0, 1, 1, 2, 4, 0, 4, 1, 2, 2, 1, 0, 1, 1, 2, 2, 4, 3, 1, 0, 2, 2, 2, 2, 2, 1, 4, 4, 4, 1, 0, 2, 4, 0, 4, 0, 2, 4, 3, 3, 3, 2, 4, 3, 0, 3, 1, 0, 4, 1, 0, 2, 2, 3, 4, 3, 1, 3, 0, 1, 0, 0, 1, 4, 2, 4, 0, 4, 4, 2, 3, 3, 2, 3, 1, 1, 2, 0, 1, 3, 4, 1, 2, 3, 0, 4, 3]
pubkeycol727 = [0, 4, 4, 2, 3, 4, 2, 1, 2, 0, 1, 2, 3, 1, 1, 4, 0, 3, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 4, 3, 2, 1, 2, 4, 2, 1, 0, 3, 1, 0, 2, 2, 4, 4, 2, 0, 2, 3, 0, 1, 3, 2, 3, 2, 0, 1, 4, 1, 2, 3, 2, 4, 3, 4, 4, 4, 0, 2, 0, 3, 0, 3, 0, 0, 4, 3, 1, 0, 0, 4, 4, 2, 1, 1, 1, 3, 3, 0, 0, 3, 1, 3, 2, 3, 0, 1, 4, 4, 0, 2, 2, 4, 3, 0, 0, 4, 4, 3, 1, 3, 0, 3, 1, 4, 0, 1, 2, 0, 1, 3, 4, 2, 0, 4, 1, 1, 2, 4, 4, 0, 4, 0, 2, 4, 0, 4, 3, 1, 1, 4, 2, 4, 0, 0, 0, 0, 2, 2, 4, 1, 0, 1, 2, 2, 0, 2, 4, 3, 0, 0, 3, 1, 4, 2, 4, 3, 0, 3, 3, 4, 4, 2, 0, 2, 1, 2, 2, 1, 4, 2, 1, 2, 1, 2, 2, 3, 4, 0, 2, 0, 4, 0, 4, 1, 1, 3, 0, 1, 2, 2, 4, 2, 4, 1, 0, 0, 0, 3, 1, 4, 1, 3, 0, 3, 1, 4, 4, 0, 2, 3, 3, 3, 0, 4, 4, 1, 4, 3, 4, 4, 1, 3, 3, 1, 2, 2, 3, 4, 2, 3, 0, 4, 0, 1, 1, 3, 0, 1, 0, 4, 1, 0, 0, 1, 1, 1, 0, 0, 0, 3, 0, 0, 3, 0, 3, 4, 4, 4, 1, 2, 1, 2, 1, 3, 4, 1, 3, 4, 1, 4, 0, 2, 4, 4, 1, 1, 2, 0, 0, 3, 3, 2, 3, 2, 2, 1, 4, 3, 0, 4, 3, 2, 0, 3, 0, 2, 1, 3, 0, 2, 2, 4, 4, 0, 3, 1, 4, 4, 1, 0, 2, 4, 2, 4, 3, 0, 4, 4, 2, 2, 0, 4, 4, 1, 2, 4, 1, 0, 1, 1, 0, 3, 1, 1, 1, 1, 4, 2, 1, 2, 4, 3, 3, 2, 0, 2, 2, 3, 4, 1, 1, 2, 2, 1, 3, 1, 4, 1, 3, 2, 2, 2, 3, 4, 4, 1, 2, 0, 0, 4, 3, 2, 4, 1, 3, 2, 0, 3, 4, 4, 3, 3, 3, 0, 1, 1, 2]
pubkeycol728 = [2, 0, 2, 3, 0, 1, 1, 2, 3, 4, 0, 1, 4, 1, 4, 2, 1, 1, 2, 3, 1, 2, 2, 0, 4, 2, 0, 0, 1, 4, 1, 2, 3, 0, 1, 1, 1, 4, 0, 4, 4, 4, 0, 0, 4, 2, 0, 2, 0, 4, 0, 3, 2, 0, 3, 2, 1, 2, 1, 0, 1, 0, 3, 2, 3, 1, 2, 2, 4, 1, 2, 4, 1, 4, 0, 4, 1, 4, 1, 1, 1, 1, 1, 2, 3, 3, 0, 3, 0, 1, 3, 1, 3, 2, 0, 4, 1, 3, 1, 4, 3, 3, 4, 4, 3, 4, 1, 2, 3, 3, 2, 0, 3, 4, 4, 2, 0, 2, 2, 1, 2, 4, 3, 1, 3, 2, 3, 0, 1, 0, 1, 1, 1, 4, 3, 3, 4, 4, 0, 0, 0, 2, 0, 1, 3, 3, 4, 0, 2, 0, 4, 4, 3, 4, 2, 1, 4, 2, 3, 4, 0, 1, 0, 2, 4, 3, 4, 1, 1, 3, 1, 0, 2, 2, 1, 3, 3, 1, 2, 4, 4, 3, 4, 0, 0, 4, 2, 4, 1, 0, 2, 1, 1, 3, 1, 2, 3, 3, 3, 1, 1, 0, 2, 3, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 4, 1, 1, 3, 0, 2, 4, 0, 4, 3, 4, 4, 1, 2, 4, 3, 1, 4, 4, 3, 3, 2, 2, 2, 1, 4, 3, 2, 1, 0, 0, 1, 2, 0, 4, 4, 1, 3, 4, 4, 2, 2, 0, 1, 0, 2, 3, 1, 2, 4, 4, 1, 0, 0, 3, 1, 0, 0, 1, 2, 4, 3, 0, 0, 4, 1, 3, 1, 0, 2, 1, 0, 4, 2, 3, 2, 1, 4, 2, 3, 1, 0, 1, 1, 3, 1, 3, 3, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 0, 2, 2, 0, 4, 0, 0, 1, 3, 3, 2, 3, 4, 0, 3, 0, 3, 0, 4, 4, 3, 4, 4, 4, 3, 0, 0, 3, 4, 4, 2, 4, 0, 0, 4, 1, 1, 1, 2, 0, 0, 1, 3, 2, 2, 0, 2, 4, 1, 2, 2, 3, 1, 0, 3, 4, 4, 3, 1, 4, 4, 1, 4, 1, 3, 0, 0, 3, 4, 3, 3, 4, 0, 2, 0, 3, 0, 2, 0, 2, 0, 1, 4, 4, 2]
pubkeycol729 = [2, 3, 1, 0, 1, 3, 3, 1, 4, 3, 2, 3, 2, 1, 0, 3, 1, 1, 1, 4, 3, 2, 4, 0, 3, 1, 0, 1, 0, 4, 2, 0, 3, 2, 0, 2, 0, 2, 3, 4, 1, 3, 0, 1, 3, 1, 2, 0, 4, 3, 1, 0, 3, 1, 0, 0, 2, 3, 4, 3, 0, 2, 3, 3, 4, 3, 0, 2, 3, 2, 1, 0, 0, 3, 3, 0, 3, 0, 1, 0, 1, 2, 1, 4, 4, 2, 0, 1, 2, 0, 2, 3, 0, 3, 4, 1, 0, 1, 2, 4, 0, 0, 3, 3, 3, 2, 4, 1, 4, 4, 2, 0, 4, 3, 0, 4, 0, 2, 4, 2, 0, 0, 3, 0, 2, 3, 4, 2, 0, 4, 3, 4, 3, 3, 4, 1, 4, 4, 2, 2, 0, 3, 2, 1, 3, 3, 3, 2, 2, 1, 1, 2, 4, 3, 4, 0, 4, 2, 2, 4, 1, 0, 2, 4, 2, 0, 0, 1, 4, 4, 2, 3, 3, 0, 3, 3, 4, 2, 1, 2, 0, 1, 1, 4, 0, 0, 2, 2, 2, 3, 0, 0, 4, 3, 0, 0, 0, 2, 0, 1, 4, 1, 3, 2, 2, 1, 4, 1, 2, 1, 4, 0, 3, 4, 0, 0, 2, 4, 1, 4, 3, 2, 3, 3, 2, 3, 2, 1, 2, 0, 1, 2, 3, 4, 0, 1, 1, 4, 1, 1, 4, 1, 0, 3, 0, 3, 1, 3, 3, 4, 3, 2, 3, 1, 1, 2, 0, 1, 4, 3, 3, 0, 4, 2, 0, 2, 3, 4, 1, 1, 0, 3, 0, 1, 0, 2, 0, 1, 3, 1, 1, 3, 0, 1, 3, 3, 1, 3, 4, 1, 4, 4, 1, 2, 3, 2, 4, 1, 4, 1, 4, 2, 3, 3, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 3, 4, 0, 1, 2, 0, 1, 4, 1, 3, 3, 2, 3, 2, 2, 2, 4, 0, 1, 0, 4, 1, 0, 4, 1, 0, 2, 0, 0, 2, 0, 1, 1, 4, 0, 4, 4, 4, 2, 2, 1, 0, 1, 3, 2, 2, 0, 0, 4, 1, 0, 2, 3, 4, 3, 3, 1, 0, 4, 4, 2, 2, 2, 4, 0, 0, 0, 1, 4, 0, 3, 3, 4, 1, 0, 2, 0, 3, 4, 1, 2, 4, 3]
pubkeycol730 = [1, 1, 1, 4, 4, 1, 4, 1, 3, 0, 4, 1, 1, 1, 1, 2, 3, 1, 4, 0, 3, 1, 1, 2, 2, 2, 3, 2, 0, 0, 1, 3, 0, 2, 1, 4, 0, 3, 2, 1, 4, 0, 3, 4, 1, 4, 0, 0, 1, 1, 4, 2, 3, 3, 2, 2, 2, 0, 3, 4, 2, 1, 0, 4, 0, 3, 4, 0, 1, 3, 0, 0, 1, 2, 3, 0, 0, 2, 4, 3, 2, 4, 4, 0, 1, 4, 3, 2, 4, 1, 1, 3, 1, 1, 3, 0, 2, 3, 1, 0, 0, 2, 3, 1, 1, 0, 4, 2, 4, 0, 1, 3, 1, 1, 2, 0, 2, 1, 0, 0, 4, 0, 0, 3, 4, 1, 1, 4, 4, 3, 3, 0, 0, 2, 1, 0, 2, 4, 2, 1, 3, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 3, 3, 0, 2, 4, 0, 3, 4, 3, 2, 3, 4, 4, 0, 1, 3, 1, 3, 2, 3, 2, 2, 0, 1, 0, 4, 1, 0, 2, 2, 3, 2, 0, 1, 3, 4, 2, 4, 4, 1, 0, 4, 2, 2, 4, 1, 4, 0, 1, 3, 4, 0, 0, 2, 2, 4, 2, 0, 0, 3, 4, 2, 2, 1, 3, 3, 2, 2, 3, 1, 4, 1, 0, 3, 1, 4, 1, 3, 4, 4, 0, 3, 0, 3, 3, 3, 2, 0, 1, 0, 3, 2, 0, 0, 3, 0, 3, 0, 4, 0, 4, 0, 1, 0, 3, 3, 1, 3, 0, 0, 1, 1, 3, 4, 1, 0, 1, 0, 3, 4, 2, 2, 3, 1, 2, 1, 2, 2, 4, 4, 3, 2, 0, 0, 1, 1, 4, 2, 3, 1, 1, 2, 0, 4, 4, 4, 4, 4, 1, 2, 1, 2, 2, 3, 2, 1, 4, 0, 3, 2, 1, 3, 1, 1, 1, 1, 4, 2, 2, 1, 4, 3, 4, 3, 3, 0, 3, 1, 4, 1, 4, 4, 4, 4, 2, 2, 3, 1, 1, 3, 0, 4, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 4, 1, 3, 4, 3, 3, 4, 4, 0, 1, 3, 3, 2, 1, 1, 1, 1, 4, 3, 4, 3, 2, 1, 3, 2, 0, 3, 2, 4, 2, 0, 2, 0, 1, 3, 4, 4, 2, 2, 1, 0, 2, 1, 4, 3, 4]
pubkeycol731 = [0, 4, 1, 3, 1, 1, 1, 2, 2, 3, 1, 4, 4, 2, 2, 3, 4, 1, 0, 1, 1, 3, 0, 3, 1, 1, 2, 2, 1, 4, 2, 2, 2, 3, 1, 0, 2, 0, 3, 4, 4, 0, 0, 4, 0, 1, 4, 3, 4, 3, 4, 4, 0, 2, 3, 3, 0, 1, 3, 1, 0, 0, 0, 3, 4, 1, 3, 3, 4, 4, 0, 2, 0, 4, 1, 2, 0, 3, 3, 0, 0, 4, 2, 4, 2, 3, 2, 4, 3, 3, 1, 1, 0, 2, 0, 3, 0, 1, 3, 1, 2, 3, 0, 2, 2, 0, 1, 4, 3, 1, 1, 0, 1, 4, 4, 4, 0, 1, 3, 4, 2, 4, 4, 3, 2, 2, 0, 2, 0, 2, 3, 3, 4, 4, 0, 1, 2, 0, 3, 2, 0, 2, 0, 3, 1, 4, 0, 1, 0, 3, 2, 3, 0, 4, 1, 1, 3, 1, 2, 2, 0, 1, 4, 1, 4, 1, 1, 4, 0, 2, 4, 4, 1, 1, 0, 4, 4, 3, 3, 4, 3, 2, 0, 0, 2, 2, 2, 2, 3, 2, 1, 3, 0, 2, 0, 4, 1, 3, 4, 2, 3, 3, 3, 0, 2, 3, 3, 0, 0, 4, 2, 2, 0, 0, 1, 0, 4, 2, 2, 1, 2, 2, 4, 3, 1, 2, 3, 3, 3, 1, 3, 4, 3, 2, 4, 1, 1, 2, 3, 3, 2, 1, 0, 1, 4, 1, 3, 4, 3, 4, 2, 3, 4, 2, 2, 0, 1, 4, 2, 4, 3, 1, 2, 0, 0, 4, 1, 4, 3, 2, 1, 3, 4, 4, 0, 4, 0, 3, 1, 4, 1, 2, 4, 2, 3, 2, 0, 2, 1, 4, 2, 4, 2, 3, 0, 1, 1, 4, 2, 4, 1, 2, 3, 3, 2, 4, 2, 2, 4, 2, 1, 2, 4, 3, 0, 2, 1, 1, 3, 2, 2, 4, 0, 2, 4, 2, 3, 3, 2, 0, 4, 1, 0, 4, 3, 3, 0, 2, 3, 2, 3, 4, 1, 4, 3, 3, 0, 2, 1, 2, 2, 3, 3, 4, 3, 2, 0, 2, 2, 3, 0, 3, 2, 3, 3, 3, 3, 3, 2, 4, 1, 0, 2, 0, 3, 4, 1, 2, 3, 1, 2, 3, 1, 4, 2, 1, 4, 1, 1, 3, 3, 3, 2, 2, 2, 3, 0, 2, 0, 3]
pubkeycol732 = [4, 0, 0, 0, 3, 0, 2, 2, 2, 0, 4, 3, 3, 1, 0, 0, 0, 4, 4, 1, 3, 2, 2, 3, 4, 3, 0, 0, 0, 3, 1, 4, 0, 2, 0, 4, 4, 2, 2, 0, 1, 0, 1, 3, 2, 2, 4, 0, 3, 0, 3, 0, 2, 0, 3, 1, 3, 0, 1, 0, 4, 3, 2, 1, 2, 4, 0, 4, 4, 0, 0, 4, 2, 0, 1, 0, 1, 0, 0, 2, 3, 3, 2, 1, 0, 0, 3, 1, 3, 3, 1, 0, 2, 0, 4, 0, 3, 3, 0, 0, 4, 2, 0, 0, 0, 3, 0, 1, 1, 3, 0, 4, 1, 4, 0, 4, 4, 0, 3, 4, 4, 4, 4, 0, 4, 3, 2, 3, 4, 4, 1, 4, 4, 3, 2, 4, 1, 0, 0, 4, 0, 4, 4, 0, 2, 4, 4, 2, 2, 3, 3, 1, 0, 1, 1, 3, 4, 2, 2, 3, 2, 3, 4, 1, 4, 4, 0, 0, 1, 3, 1, 0, 4, 4, 1, 2, 0, 4, 3, 2, 4, 3, 4, 1, 3, 0, 3, 0, 3, 4, 4, 2, 4, 1, 4, 3, 3, 3, 4, 3, 2, 1, 2, 2, 3, 4, 1, 2, 2, 4, 0, 1, 2, 4, 2, 2, 4, 3, 2, 2, 0, 1, 1, 1, 1, 0, 3, 3, 0, 1, 2, 3, 0, 3, 2, 1, 0, 0, 2, 0, 3, 4, 3, 2, 0, 3, 2, 0, 1, 2, 3, 2, 1, 1, 3, 3, 4, 2, 3, 1, 3, 2, 1, 4, 3, 2, 2, 1, 2, 3, 4, 0, 0, 2, 3, 0, 2, 0, 2, 2, 1, 3, 0, 2, 4, 2, 3, 4, 0, 1, 2, 4, 4, 3, 1, 0, 3, 2, 1, 1, 1, 4, 4, 3, 2, 3, 0, 2, 0, 0, 0, 2, 4, 3, 4, 4, 4, 0, 0, 2, 2, 0, 3, 3, 4, 2, 2, 4, 2, 0, 2, 3, 1, 0, 1, 0, 4, 0, 0, 1, 2, 3, 0, 4, 0, 1, 0, 3, 1, 0, 4, 4, 2, 2, 4, 0, 2, 0, 3, 2, 4, 3, 0, 0, 4, 1, 1, 1, 4, 0, 4, 3, 3, 0, 0, 3, 3, 3, 3, 1, 3, 1, 3, 4, 4, 0, 1, 2, 3, 0, 2, 4, 3, 4, 2, 1, 3, 0, 1, 0]
pubkeycol733 = [2, 1, 1, 0, 3, 3, 2, 4, 3, 0, 3, 4, 1, 3, 2, 1, 3, 3, 1, 3, 3, 2, 3, 3, 4, 4, 3, 4, 3, 4, 0, 1, 0, 4, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 4, 2, 0, 4, 3, 3, 3, 3, 0, 1, 2, 1, 2, 0, 0, 3, 4, 0, 1, 3, 3, 4, 2, 3, 0, 3, 3, 1, 3, 1, 3, 0, 3, 3, 1, 1, 3, 4, 1, 3, 4, 3, 4, 3, 3, 3, 0, 4, 2, 4, 1, 4, 3, 1, 0, 4, 0, 0, 1, 3, 1, 4, 4, 0, 3, 1, 2, 4, 2, 3, 1, 4, 4, 4, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 1, 1, 0, 0, 0, 4, 1, 4, 4, 0, 3, 2, 1, 2, 4, 0, 2, 4, 1, 2, 1, 3, 2, 3, 3, 0, 1, 2, 1, 3, 2, 2, 3, 3, 0, 1, 4, 1, 2, 3, 0, 3, 2, 1, 1, 4, 1, 3, 4, 1, 0, 4, 1, 3, 0, 2, 2, 0, 1, 1, 1, 3, 1, 2, 2, 3, 1, 4, 1, 4, 1, 0, 1, 0, 1, 3, 1, 0, 4, 1, 4, 3, 3, 4, 4, 4, 1, 2, 2, 0, 1, 4, 3, 2, 3, 2, 3, 4, 4, 0, 2, 4, 1, 2, 4, 1, 2, 2, 4, 4, 3, 4, 0, 2, 2, 0, 2, 2, 2, 0, 1, 4, 4, 3, 0, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 1, 1, 3, 3, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 4, 1, 0, 3, 2, 3, 1, 0, 0, 3, 4, 2, 1, 1, 0, 4, 1, 4, 3, 4, 3, 3, 3, 1, 0, 1, 1, 3, 3, 4, 2, 2, 0, 1, 3, 0, 2, 1, 3, 0, 3, 2, 3, 3, 4, 1, 4, 4, 2, 0, 3, 3, 0, 2, 0, 2, 4, 4, 4, 0, 2, 1, 0, 1, 2, 0, 2, 1, 4, 3, 3, 4, 2, 4, 0, 4, 3, 1, 0, 4, 3, 1, 2, 1, 3, 1, 1, 4, 2, 2, 2, 2, 4, 4, 3, 3, 4, 4, 1, 0, 0, 2, 0, 0, 0, 0, 2, 3, 2, 4, 1, 3, 1, 4, 0, 2, 0, 1, 3, 4]
pubkeycol734 = [0, 1, 3, 0, 3, 4, 4, 1, 3, 4, 2, 1, 3, 2, 2, 0, 2, 4, 1, 2, 1, 1, 3, 0, 0, 2, 0, 1, 3, 0, 2, 2, 4, 3, 2, 4, 3, 3, 0, 3, 2, 3, 0, 4, 0, 2, 4, 2, 3, 0, 2, 0, 1, 1, 1, 3, 2, 3, 4, 2, 2, 0, 4, 2, 0, 3, 1, 4, 3, 1, 0, 1, 1, 2, 4, 4, 1, 0, 0, 0, 0, 2, 4, 1, 0, 4, 0, 0, 1, 4, 1, 3, 4, 1, 3, 4, 0, 1, 2, 1, 0, 2, 2, 4, 1, 2, 3, 2, 2, 0, 3, 1, 1, 4, 0, 1, 0, 1, 2, 3, 2, 3, 3, 2, 1, 2, 0, 3, 3, 0, 3, 3, 4, 0, 3, 0, 3, 2, 3, 2, 1, 4, 0, 1, 0, 4, 0, 4, 2, 4, 0, 4, 1, 3, 1, 0, 1, 1, 0, 3, 3, 3, 0, 3, 0, 1, 2, 4, 1, 3, 0, 4, 1, 2, 2, 1, 0, 0, 2, 3, 0, 0, 0, 0, 4, 0, 3, 0, 3, 4, 0, 4, 4, 2, 1, 1, 3, 0, 4, 1, 2, 2, 3, 1, 3, 2, 3, 2, 1, 1, 1, 4, 1, 4, 4, 4, 4, 2, 3, 2, 0, 3, 3, 3, 4, 2, 1, 2, 3, 2, 0, 1, 1, 3, 3, 3, 1, 1, 2, 4, 3, 0, 3, 3, 3, 1, 1, 1, 0, 3, 1, 3, 4, 1, 3, 1, 1, 4, 3, 2, 2, 0, 0, 3, 4, 0, 4, 2, 4, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 3, 2, 3, 3, 3, 2, 0, 2, 0, 0, 2, 3, 2, 4, 0, 1, 4, 2, 4, 2, 2, 4, 1, 0, 0, 2, 0, 4, 2, 0, 1, 2, 4, 1, 1, 1, 3, 3, 0, 3, 0, 2, 3, 2, 4, 2, 0, 0, 3, 4, 1, 4, 0, 4, 1, 2, 0, 1, 0, 0, 3, 1, 1, 0, 3, 0, 0, 2, 0, 1, 3, 2, 4, 0, 1, 2, 0, 0, 3, 4, 3, 4, 1, 1, 1, 4, 3, 1, 1, 2, 3, 4, 2, 3, 4, 1, 4, 4, 4, 1, 1, 1, 3, 3, 2, 0, 3, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 4, 1, 3, 3]
pubkeycol735 = [4, 3, 0, 3, 0, 0, 4, 1, 0, 2, 4, 4, 3, 2, 4, 2, 1, 0, 1, 1, 2, 0, 1, 3, 4, 2, 2, 3, 0, 2, 1, 2, 0, 0, 4, 4, 4, 3, 0, 2, 0, 4, 0, 0, 2, 2, 2, 4, 4, 2, 2, 2, 3, 4, 3, 2, 2, 3, 0, 2, 3, 1, 0, 4, 4, 1, 1, 0, 4, 4, 2, 2, 2, 1, 0, 4, 2, 4, 1, 0, 3, 4, 4, 3, 4, 0, 0, 1, 1, 4, 0, 3, 1, 0, 0, 1, 1, 3, 0, 2, 2, 0, 3, 0, 2, 0, 4, 0, 4, 0, 2, 4, 0, 0, 2, 4, 2, 4, 0, 0, 0, 3, 4, 4, 4, 4, 2, 0, 3, 2, 4, 2, 2, 1, 3, 4, 4, 0, 1, 3, 1, 0, 2, 3, 2, 3, 2, 2, 3, 4, 1, 1, 2, 0, 4, 0, 3, 1, 4, 3, 3, 0, 1, 2, 0, 3, 1, 3, 1, 4, 2, 1, 1, 4, 0, 3, 4, 0, 0, 2, 0, 2, 3, 2, 2, 1, 1, 4, 2, 1, 1, 3, 4, 4, 1, 0, 3, 3, 3, 4, 1, 4, 1, 4, 0, 0, 4, 3, 4, 4, 1, 0, 3, 3, 3, 0, 4, 1, 1, 2, 0, 3, 0, 0, 0, 4, 1, 2, 3, 3, 1, 0, 1, 0, 4, 0, 4, 0, 3, 1, 2, 3, 3, 0, 0, 0, 2, 4, 0, 0, 1, 4, 1, 3, 3, 3, 4, 2, 3, 3, 3, 4, 0, 4, 0, 0, 1, 2, 0, 3, 3, 0, 0, 4, 2, 0, 4, 0, 4, 3, 0, 0, 3, 0, 2, 3, 3, 3, 3, 2, 1, 4, 3, 2, 2, 0, 1, 1, 3, 2, 3, 4, 3, 1, 3, 0, 4, 3, 3, 0, 1, 3, 4, 4, 0, 3, 2, 4, 2, 4, 4, 3, 2, 0, 1, 1, 4, 1, 0, 4, 2, 3, 4, 2, 4, 2, 0, 4, 1, 4, 1, 0, 4, 4, 0, 4, 2, 4, 1, 3, 3, 4, 1, 1, 4, 0, 1, 1, 2, 1, 3, 3, 1, 1, 4, 3, 0, 0, 2, 4, 1, 0, 0, 2, 1, 0, 2, 1, 2, 3, 1, 2, 4, 3, 0, 4, 3, 3, 4, 1, 0, 1, 0, 1, 1, 4, 0, 0, 1, 1]
pubkeycol736 = [2, 3, 2, 0, 0, 0, 4, 3, 1, 3, 0, 1, 2, 2, 1, 1, 4, 4, 0, 1, 1, 0, 0, 2, 0, 4, 1, 1, 2, 3, 0, 2, 4, 4, 1, 4, 1, 2, 4, 2, 3, 0, 2, 3, 2, 1, 4, 0, 4, 1, 2, 1, 1, 2, 4, 1, 2, 3, 2, 4, 3, 0, 1, 2, 0, 4, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 4, 4, 0, 1, 4, 4, 1, 3, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 4, 1, 1, 3, 2, 3, 1, 2, 3, 4, 3, 3, 2, 2, 2, 3, 0, 1, 3, 4, 4, 0, 1, 0, 3, 4, 2, 2, 0, 1, 2, 4, 3, 1, 2, 3, 3, 1, 1, 4, 4, 2, 1, 2, 4, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 3, 2, 4, 4, 0, 1, 1, 3, 0, 0, 0, 0, 1, 2, 2, 2, 0, 3, 4, 1, 1, 0, 2, 4, 1, 4, 2, 0, 0, 0, 4, 2, 1, 0, 0, 2, 0, 4, 1, 4, 3, 2, 3, 1, 0, 4, 1, 1, 3, 3, 1, 1, 4, 2, 4, 1, 4, 0, 0, 0, 4, 1, 0, 1, 4, 0, 2, 2, 1, 1, 4, 3, 2, 3, 4, 1, 3, 3, 0, 2, 0, 1, 2, 0, 3, 1, 1, 2, 3, 4, 4, 0, 2, 4, 3, 1, 4, 3, 1, 3, 4, 0, 3, 3, 2, 0, 3, 3, 2, 3, 3, 0, 3, 1, 0, 3, 0, 4, 0, 0, 4, 0, 1, 1, 0, 4, 1, 0, 4, 0, 4, 3, 0, 2, 1, 4, 4, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 3, 3, 2, 4, 3, 4, 3, 0, 4, 1, 0, 0, 1, 3, 2, 1, 2, 0, 0, 2, 3, 0, 2, 4, 4, 3, 3, 4, 4, 0, 0, 3, 0, 1, 0, 1, 0, 3, 0, 0, 0, 1, 2, 2, 1, 0, 4, 2, 2, 0, 1, 2, 2, 4, 4, 3, 4, 0, 4, 4, 2, 1, 1, 0, 1, 1, 4, 3, 2, 1, 2, 2, 4, 1, 2, 0, 2, 1, 0, 1, 3, 3, 0, 2, 3, 4, 3, 1, 0, 3, 2, 4, 3, 1, 1, 3, 3, 0, 0, 1]
pubkeycol737 = [1, 1, 3, 1, 0, 0, 3, 3, 2, 0, 3, 0, 1, 3, 1, 1, 3, 1, 2, 0, 4, 0, 4, 0, 2, 4, 3, 0, 1, 1, 1, 3, 1, 4, 4, 0, 1, 1, 0, 4, 2, 1, 2, 4, 0, 1, 4, 0, 4, 3, 3, 3, 4, 0, 3, 0, 2, 3, 3, 0, 2, 1, 0, 4, 3, 0, 3, 3, 1, 4, 0, 1, 0, 2, 4, 3, 2, 0, 1, 4, 3, 0, 0, 1, 3, 1, 3, 4, 0, 0, 1, 4, 0, 2, 1, 4, 3, 1, 1, 1, 4, 2, 0, 0, 3, 4, 3, 1, 4, 4, 3, 2, 2, 0, 2, 4, 3, 4, 1, 1, 0, 0, 3, 3, 1, 0, 2, 1, 4, 3, 2, 2, 3, 2, 4, 2, 2, 3, 0, 2, 3, 4, 3, 4, 1, 2, 1, 0, 3, 1, 2, 3, 1, 3, 1, 1, 4, 2, 4, 4, 4, 0, 0, 3, 0, 4, 3, 0, 3, 3, 4, 4, 4, 1, 0, 0, 4, 4, 3, 2, 0, 1, 1, 4, 2, 2, 0, 3, 1, 0, 0, 4, 4, 4, 0, 0, 0, 3, 3, 4, 4, 4, 1, 2, 3, 3, 3, 3, 1, 4, 0, 4, 4, 0, 2, 1, 0, 4, 3, 4, 3, 0, 2, 4, 3, 4, 1, 2, 0, 2, 2, 2, 4, 4, 0, 0, 3, 0, 1, 3, 4, 3, 2, 4, 1, 4, 3, 4, 0, 1, 2, 4, 4, 2, 2, 1, 0, 0, 1, 3, 4, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 3, 4, 3, 4, 2, 0, 3, 2, 4, 2, 3, 2, 2, 1, 4, 1, 4, 2, 4, 4, 2, 3, 3, 1, 3, 1, 4, 1, 0, 3, 1, 0, 4, 1, 1, 4, 2, 1, 1, 1, 0, 4, 2, 2, 4, 2, 2, 0, 2, 2, 3, 1, 2, 4, 0, 3, 0, 2, 4, 0, 4, 2, 4, 0, 1, 0, 2, 1, 2, 3, 2, 3, 4, 4, 2, 0, 1, 4, 3, 2, 0, 4, 4, 4, 1, 0, 0, 1, 3, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 3, 4, 3, 0, 2, 1, 0, 0, 0, 2, 1, 4, 2, 4, 2, 1, 1, 0, 2, 4, 3, 0, 4, 4, 4, 1, 0, 4]
pubkeycol738 = [4, 3, 4, 3, 0, 4, 4, 2, 3, 0, 3, 4, 2, 2, 3, 1, 2, 1, 2, 0, 3, 4, 0, 0, 0, 0, 3, 1, 1, 0, 4, 0, 0, 1, 2, 2, 0, 1, 3, 0, 1, 0, 3, 1, 1, 4, 0, 3, 0, 2, 1, 2, 0, 3, 2, 0, 4, 2, 3, 2, 1, 1, 1, 2, 3, 2, 4, 2, 2, 0, 4, 4, 0, 4, 3, 1, 3, 0, 4, 2, 4, 3, 2, 3, 3, 1, 1, 2, 3, 4, 3, 0, 3, 2, 3, 0, 3, 4, 4, 2, 1, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 4, 4, 4, 2, 3, 3, 4, 4, 4, 0, 0, 0, 3, 4, 3, 4, 0, 0, 3, 1, 2, 3, 4, 3, 3, 4, 0, 1, 0, 3, 4, 2, 4, 3, 1, 3, 1, 0, 4, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 1, 2, 1, 3, 3, 3, 3, 1, 0, 1, 1, 3, 4, 4, 0, 4, 0, 2, 4, 3, 2, 4, 4, 3, 2, 0, 4, 1, 4, 4, 3, 3, 1, 4, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 3, 1, 1, 2, 3, 4, 2, 1, 3, 0, 4, 3, 0, 3, 3, 0, 2, 3, 3, 2, 0, 0, 0, 3, 2, 0, 1, 1, 2, 2, 2, 0, 3, 2, 2, 3, 4, 1, 0, 4, 3, 0, 4, 0, 4, 4, 4, 1, 4, 4, 3, 4, 4, 0, 2, 3, 3, 2, 3, 0, 0, 3, 0, 3, 1, 0, 2, 2, 4, 4, 4, 2, 2, 2, 1, 4, 3, 2, 1, 1, 4, 0, 1, 0, 3, 1, 4, 3, 2, 3, 4, 3, 3, 3, 1, 4, 2, 0, 0, 3, 2, 0, 0, 1, 0, 1, 4, 3, 0, 2, 1, 4, 0, 4, 4, 1, 4, 3, 3, 1, 1, 0, 2, 1, 3, 3, 2, 3, 1, 4, 1, 4, 4, 3, 3, 0, 0, 1, 4, 4, 0, 4, 2, 1, 3, 2, 1, 4, 1, 0, 1, 0, 4, 4, 1, 2, 4, 3, 4, 4, 1, 1, 3, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 4, 0, 4, 2, 0, 3, 2, 2, 1, 3, 0, 4, 0, 3, 3, 1, 2, 2, 4, 0]
pubkeycol739 = [4, 0, 4, 0, 3, 4, 4, 0, 1, 3, 0, 2, 0, 0, 2, 0, 0, 4, 2, 3, 2, 1, 4, 4, 4, 2, 4, 1, 3, 2, 2, 3, 3, 1, 4, 3, 0, 3, 2, 3, 1, 0, 4, 0, 0, 2, 4, 0, 4, 3, 3, 2, 1, 4, 4, 0, 4, 2, 0, 4, 3, 2, 3, 0, 0, 0, 4, 2, 2, 3, 2, 3, 4, 3, 0, 2, 3, 1, 2, 3, 4, 3, 2, 2, 2, 1, 4, 2, 0, 0, 2, 0, 3, 1, 3, 2, 4, 4, 1, 2, 4, 0, 0, 3, 3, 4, 3, 2, 0, 3, 3, 4, 0, 2, 1, 3, 4, 4, 1, 1, 0, 2, 2, 0, 0, 4, 4, 0, 3, 4, 3, 0, 2, 2, 3, 1, 2, 1, 2, 2, 2, 1, 3, 2, 4, 4, 3, 2, 0, 4, 3, 2, 0, 4, 1, 0, 1, 1, 4, 0, 3, 1, 0, 2, 1, 2, 4, 3, 1, 2, 3, 4, 0, 1, 2, 0, 0, 3, 3, 0, 3, 1, 2, 3, 3, 4, 3, 1, 0, 2, 2, 1, 0, 1, 4, 2, 0, 4, 1, 2, 0, 1, 4, 4, 0, 4, 4, 1, 3, 3, 4, 0, 3, 1, 0, 0, 0, 4, 3, 0, 3, 1, 4, 3, 3, 1, 4, 2, 1, 4, 4, 0, 1, 3, 2, 1, 3, 4, 3, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 3, 2, 0, 3, 4, 1, 4, 0, 0, 0, 0, 3, 4, 4, 4, 0, 4, 2, 0, 1, 2, 1, 4, 2, 2, 0, 4, 1, 1, 4, 3, 0, 1, 1, 0, 4, 0, 0, 2, 4, 1, 4, 4, 4, 1, 1, 0, 1, 3, 2, 1, 0, 1, 2, 3, 4, 1, 0, 0, 3, 1, 1, 4, 0, 2, 1, 2, 2, 2, 3, 0, 3, 2, 2, 4, 3, 1, 2, 1, 1, 3, 3, 1, 4, 3, 3, 2, 2, 2, 0, 1, 0, 0, 3, 4, 2, 0, 4, 2, 3, 2, 3, 0, 2, 1, 1, 1, 2, 4, 2, 3, 3, 1, 3, 0, 4, 0, 4, 4, 1, 2, 4, 2, 3, 2, 1, 4, 0, 4, 3, 2, 4, 0, 1, 2, 4, 2, 1, 0, 4, 2, 1, 4, 2, 3, 0, 1, 0, 2, 0, 1]
pubkeycol740 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 4, 2, 1, 4, 4, 4, 0, 2, 4, 1, 3, 0, 2, 1, 2, 1, 4, 4, 1, 0, 3, 4, 3, 1, 1, 2, 2, 1, 2, 3, 4, 0, 0, 1, 1, 1, 3, 4, 3, 3, 4, 2, 2, 3, 3, 4, 2, 0, 2, 2, 3, 0, 4, 1, 4, 4, 2, 4, 1, 3, 3, 3, 1, 1, 3, 2, 2, 1, 3, 1, 4, 2, 3, 2, 4, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 4, 3, 3, 1, 1, 3, 1, 3, 2, 2, 2, 0, 4, 0, 4, 0, 1, 1, 2, 3, 4, 0, 4, 3, 0, 0, 4, 0, 4, 3, 4, 0, 1, 2, 3, 2, 4, 1, 0, 2, 1, 0, 4, 4, 3, 2, 2, 2, 0, 0, 1, 1, 2, 1, 3, 4, 2, 3, 1, 0, 4, 3, 1, 2, 2, 3, 1, 4, 2, 4, 4, 3, 2, 0, 1, 1, 1, 4, 2, 2, 2, 3, 0, 4, 2, 3, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 3, 1, 3, 0, 1, 0, 4, 3, 2, 4, 0, 1, 1, 4, 1, 2, 4, 3, 4, 2, 3, 1, 0, 0, 2, 2, 0, 2, 3, 0, 4, 0, 3, 1, 4, 3, 0, 4, 0, 4, 4, 1, 2, 3, 2, 2, 2, 1, 2, 3, 1, 4, 2, 4, 0, 4, 4, 1, 3, 4, 1, 3, 3, 1, 0, 2, 0, 1, 0, 4, 1, 0, 4, 2, 3, 4, 4, 3, 0, 2, 3, 3, 4, 1, 3, 3, 1, 0, 4, 3, 3, 4, 0, 1, 1, 2, 1, 1, 4, 4, 4, 3, 4, 3, 0, 3, 1, 0, 0, 3, 1, 3, 4, 0, 4, 1, 0, 4, 1, 1, 2, 4, 0, 3, 4, 0, 4, 2, 1, 2, 3, 2, 3, 3, 1, 2, 0, 4, 2, 3, 4, 0, 1, 0, 0, 0, 4, 3, 0, 4, 0, 4, 4, 3, 4, 1, 4, 0, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 4, 4, 1, 3, 2, 4, 3, 3, 2, 2, 1, 4, 1, 3, 4, 4, 0, 0, 3, 3, 1, 3, 3, 1, 1, 1, 2, 0, 3, 1, 4, 3, 1, 2, 4, 3, 0]
pubkeycol741 = [1, 3, 2, 3, 3, 0, 3, 4, 4, 2, 4, 1, 0, 4, 4, 0, 3, 0, 2, 3, 0, 2, 4, 2, 0, 3, 4, 3, 0, 4, 4, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 3, 3, 2, 2, 0, 3, 3, 3, 0, 2, 0, 0, 0, 4, 3, 3, 1, 2, 2, 1, 2, 4, 4, 1, 4, 0, 4, 0, 3, 4, 2, 1, 0, 3, 3, 1, 3, 3, 0, 2, 4, 1, 0, 0, 0, 1, 4, 2, 0, 4, 3, 1, 0, 3, 4, 0, 0, 3, 4, 3, 2, 1, 1, 4, 1, 3, 3, 4, 0, 3, 1, 0, 2, 0, 0, 1, 1, 4, 1, 1, 3, 0, 4, 2, 4, 0, 1, 4, 1, 4, 3, 2, 3, 4, 1, 0, 2, 3, 1, 1, 2, 2, 4, 0, 4, 2, 4, 3, 0, 4, 4, 0, 4, 1, 0, 0, 0, 3, 4, 0, 0, 2, 4, 4, 1, 2, 1, 4, 3, 3, 1, 4, 1, 3, 0, 1, 4, 2, 2, 0, 4, 2, 1, 4, 1, 3, 1, 1, 1, 4, 2, 3, 3, 2, 2, 0, 2, 0, 2, 3, 0, 1, 3, 3, 2, 1, 0, 4, 4, 0, 1, 0, 3, 1, 2, 3, 0, 2, 1, 4, 1, 1, 0, 3, 1, 0, 4, 4, 2, 0, 4, 1, 0, 3, 1, 1, 1, 0, 1, 2, 1, 4, 1, 1, 3, 0, 2, 3, 0, 1, 0, 4, 0, 0, 0, 0, 2, 4, 2, 0, 0, 0, 3, 3, 2, 2, 4, 3, 4, 4, 2, 2, 1, 1, 1, 1, 4, 1, 3, 2, 2, 0, 4, 0, 1, 4, 0, 1, 0, 4, 4, 2, 2, 3, 0, 3, 2, 0, 0, 4, 2, 2, 1, 0, 4, 1, 4, 3, 3, 3, 0, 1, 2, 0, 4, 3, 0, 0, 3, 3, 0, 2, 2, 1, 2, 0, 3, 3, 3, 2, 3, 2, 3, 3, 1, 4, 1, 4, 1, 3, 1, 0, 2, 2, 3, 4, 1, 0, 2, 3, 2, 0, 3, 1, 1, 3, 4, 2, 2, 3, 4, 2, 4, 0, 2, 0, 3, 1, 2, 3, 2, 2, 2, 2, 2, 0, 4, 0, 2, 1, 1, 3, 4, 3, 4, 4, 1, 2, 4, 0, 4, 3, 0, 3, 3, 0, 2, 3, 0]
pubkeycol742 = [2, 3, 2, 1, 2, 1, 3, 3, 4, 1, 4, 1, 2, 0, 2, 2, 2, 0, 4, 1, 4, 0, 1, 4, 3, 1, 3, 3, 4, 4, 1, 0, 0, 0, 0, 3, 2, 3, 0, 0, 2, 4, 0, 3, 4, 0, 0, 4, 0, 2, 3, 4, 0, 3, 2, 3, 4, 0, 0, 4, 4, 0, 4, 0, 4, 2, 0, 4, 1, 1, 4, 1, 1, 3, 3, 3, 1, 3, 4, 3, 4, 1, 0, 0, 3, 3, 3, 1, 1, 3, 1, 4, 0, 0, 4, 2, 0, 3, 3, 0, 4, 4, 4, 1, 0, 2, 1, 2, 0, 3, 0, 0, 0, 3, 4, 1, 1, 1, 3, 4, 2, 3, 2, 4, 2, 2, 2, 4, 3, 2, 4, 2, 0, 0, 2, 0, 4, 3, 0, 2, 2, 2, 4, 3, 4, 0, 3, 2, 0, 0, 1, 0, 1, 1, 4, 1, 3, 0, 4, 2, 2, 4, 0, 3, 0, 1, 2, 3, 3, 4, 3, 1, 2, 0, 1, 3, 3, 1, 0, 1, 3, 3, 3, 3, 2, 0, 2, 0, 3, 2, 4, 0, 2, 1, 4, 2, 4, 1, 3, 2, 2, 2, 3, 2, 2, 0, 0, 2, 3, 3, 0, 1, 1, 3, 3, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 2, 2, 2, 0, 4, 1, 4, 3, 4, 1, 0, 0, 2, 2, 1, 0, 3, 1, 4, 0, 4, 2, 2, 4, 1, 4, 4, 4, 4, 2, 0, 1, 4, 0, 0, 4, 2, 1, 4, 1, 1, 0, 4, 2, 4, 0, 3, 2, 1, 4, 3, 2, 3, 2, 4, 1, 2, 0, 3, 3, 3, 3, 0, 2, 3, 2, 0, 0, 0, 3, 4, 0, 2, 2, 0, 2, 4, 0, 0, 3, 2, 2, 4, 1, 3, 0, 3, 0, 3, 0, 2, 1, 4, 4, 1, 4, 0, 2, 4, 2, 3, 0, 2, 1, 3, 3, 4, 3, 1, 3, 4, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 4, 2, 4, 3, 0, 3, 0, 1, 2, 3, 1, 2, 4, 4, 1, 4, 3, 2, 1, 4, 4, 2, 4, 4, 2, 3, 2, 3, 4, 3, 2, 0, 0, 0, 0, 1, 4, 3, 1, 1, 3, 1, 0, 1, 0, 3]
pubkeycol743 = [3, 0, 1, 3, 2, 3, 4, 1, 4, 3, 2, 4, 2, 2, 0, 2, 1, 2, 2, 3, 2, 1, 3, 2, 4, 0, 0, 4, 3, 1, 2, 4, 1, 3, 3, 3, 2, 4, 1, 2, 2, 2, 2, 3, 0, 3, 0, 0, 4, 1, 3, 1, 1, 4, 2, 4, 1, 0, 1, 4, 4, 0, 1, 3, 3, 3, 4, 0, 3, 3, 1, 0, 4, 0, 4, 1, 3, 1, 4, 0, 1, 2, 3, 2, 3, 4, 2, 4, 0, 4, 4, 1, 1, 3, 4, 4, 0, 1, 3, 0, 2, 0, 1, 0, 4, 0, 4, 0, 4, 1, 0, 1, 0, 1, 3, 3, 1, 1, 1, 4, 4, 1, 3, 0, 2, 3, 3, 1, 3, 2, 1, 0, 3, 1, 3, 4, 3, 2, 3, 4, 3, 1, 2, 1, 2, 1, 2, 2, 4, 2, 4, 2, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 0, 3, 4, 1, 3, 2, 3, 4, 0, 0, 4, 4, 0, 3, 2, 4, 0, 4, 1, 2, 3, 2, 3, 1, 4, 3, 1, 3, 1, 3, 4, 2, 4, 1, 2, 4, 4, 4, 2, 1, 2, 1, 2, 4, 0, 0, 4, 4, 0, 2, 0, 3, 1, 4, 2, 2, 2, 1, 0, 3, 4, 0, 2, 0, 2, 4, 3, 2, 3, 4, 2, 4, 2, 4, 0, 4, 1, 3, 0, 0, 0, 0, 1, 4, 2, 3, 2, 1, 4, 1, 1, 1, 0, 2, 0, 3, 1, 2, 0, 0, 2, 0, 2, 2, 1, 3, 3, 4, 4, 0, 0, 0, 0, 3, 4, 1, 2, 2, 4, 4, 4, 3, 2, 2, 3, 4, 2, 4, 3, 4, 1, 3, 1, 1, 1, 3, 2, 2, 1, 4, 4, 3, 3, 4, 4, 1, 0, 3, 0, 1, 2, 4, 2, 3, 1, 4, 0, 3, 1, 1, 0, 1, 3, 1, 0, 4, 0, 1, 4, 2, 2, 0, 0, 3, 2, 0, 2, 1, 2, 4, 0, 0, 1, 2, 3, 0, 3, 3, 0, 3, 4, 1, 2, 1, 4, 2, 1, 1, 4, 0, 2, 0, 2, 2, 0, 1, 2, 2, 3, 1, 3, 3, 3, 1, 1, 3, 3, 3, 4, 4, 3, 2, 2, 1, 2, 2, 1, 0, 4, 2, 0, 1, 4, 3, 1, 0, 1, 4]
pubkeycol744 = [3, 1, 2, 0, 2, 2, 3, 4, 2, 0, 1, 0, 1, 3, 3, 4, 3, 2, 0, 4, 4, 2, 2, 4, 2, 2, 1, 0, 2, 0, 3, 0, 2, 3, 0, 3, 1, 2, 0, 0, 2, 2, 4, 0, 0, 4, 2, 0, 2, 3, 0, 0, 1, 3, 3, 0, 2, 3, 3, 2, 0, 1, 2, 4, 3, 0, 1, 0, 1, 4, 4, 1, 4, 3, 3, 0, 4, 0, 0, 4, 1, 1, 1, 1, 3, 1, 4, 2, 1, 3, 3, 0, 0, 4, 2, 3, 1, 4, 1, 3, 3, 1, 0, 3, 3, 3, 2, 3, 1, 1, 0, 0, 1, 3, 4, 2, 2, 2, 4, 0, 4, 0, 4, 4, 0, 4, 2, 3, 4, 0, 3, 2, 0, 2, 2, 0, 1, 4, 1, 3, 0, 0, 1, 1, 3, 0, 1, 1, 4, 0, 4, 3, 0, 2, 3, 2, 2, 0, 1, 4, 3, 2, 2, 2, 4, 2, 1, 0, 2, 4, 4, 3, 2, 0, 2, 4, 1, 4, 2, 0, 2, 2, 4, 1, 1, 1, 2, 0, 1, 3, 3, 1, 1, 2, 0, 1, 3, 2, 2, 3, 2, 4, 2, 2, 0, 2, 2, 4, 0, 2, 3, 1, 4, 4, 4, 4, 4, 4, 3, 2, 2, 3, 0, 2, 2, 0, 0, 0, 4, 3, 4, 0, 2, 4, 3, 0, 1, 0, 3, 1, 1, 0, 2, 3, 4, 3, 3, 1, 0, 4, 4, 3, 1, 2, 3, 0, 2, 2, 0, 2, 2, 4, 1, 0, 0, 3, 2, 2, 4, 0, 1, 1, 2, 3, 2, 0, 2, 1, 3, 0, 2, 1, 0, 1, 4, 4, 3, 2, 2, 4, 0, 3, 1, 4, 4, 1, 2, 1, 3, 0, 4, 0, 1, 2, 2, 3, 0, 1, 2, 3, 1, 0, 1, 1, 1, 3, 3, 4, 3, 1, 3, 3, 3, 3, 4, 0, 2, 2, 0, 2, 0, 0, 0, 4, 3, 2, 1, 1, 3, 1, 3, 2, 1, 3, 1, 2, 2, 4, 3, 3, 1, 1, 0, 2, 0, 0, 4, 2, 3, 0, 1, 0, 3, 2, 3, 4, 4, 3, 4, 2, 2, 3, 2, 1, 1, 0, 4, 3, 1, 1, 4, 0, 1, 0, 3, 3, 4, 2, 3, 4, 0, 0, 2, 3, 4, 3, 0, 4, 3, 3]
pubkeycol745 = [3, 0, 0, 2, 0, 0, 2, 4, 2, 4, 0, 3, 0, 1, 0, 3, 3, 1, 3, 2, 0, 3, 2, 4, 4, 4, 4, 1, 2, 2, 1, 3, 0, 1, 1, 1, 3, 0, 3, 0, 4, 3, 4, 4, 1, 1, 1, 1, 4, 0, 1, 1, 1, 0, 0, 0, 1, 3, 1, 3, 4, 4, 1, 2, 2, 0, 3, 4, 2, 2, 2, 1, 4, 4, 1, 4, 2, 2, 2, 2, 0, 3, 2, 0, 1, 1, 2, 2, 0, 2, 3, 0, 0, 4, 4, 1, 4, 4, 2, 1, 4, 3, 2, 0, 2, 4, 2, 4, 1, 4, 2, 4, 2, 4, 3, 2, 4, 1, 0, 0, 3, 3, 2, 4, 4, 3, 1, 0, 2, 1, 3, 4, 4, 4, 1, 2, 0, 1, 1, 4, 4, 2, 3, 0, 2, 0, 4, 4, 2, 4, 1, 1, 0, 4, 0, 1, 1, 0, 2, 3, 4, 1, 1, 1, 2, 3, 4, 4, 2, 2, 1, 2, 4, 3, 3, 3, 0, 1, 0, 1, 0, 4, 0, 4, 3, 4, 4, 0, 1, 0, 4, 0, 1, 3, 4, 3, 1, 4, 1, 1, 3, 1, 4, 0, 0, 4, 1, 1, 1, 4, 1, 4, 0, 3, 1, 1, 0, 1, 0, 3, 4, 3, 4, 2, 3, 2, 3, 1, 0, 3, 3, 0, 0, 1, 4, 0, 3, 4, 0, 3, 1, 1, 4, 1, 3, 0, 2, 0, 2, 3, 1, 3, 3, 3, 3, 1, 1, 0, 2, 2, 0, 3, 0, 3, 0, 0, 3, 4, 2, 3, 3, 1, 1, 3, 4, 3, 0, 3, 0, 4, 1, 3, 1, 2, 1, 2, 1, 0, 3, 1, 3, 3, 2, 1, 1, 4, 3, 4, 2, 1, 4, 2, 3, 3, 2, 4, 3, 3, 1, 1, 4, 3, 0, 0, 3, 2, 4, 3, 3, 0, 0, 4, 4, 2, 2, 1, 2, 4, 4, 1, 3, 4, 4, 4, 1, 1, 4, 1, 1, 3, 2, 1, 4, 4, 1, 0, 0, 4, 1, 1, 2, 4, 2, 0, 3, 0, 2, 1, 1, 1, 1, 3, 0, 0, 1, 4, 2, 4, 3, 3, 0, 1, 4, 2, 3, 3, 0, 2, 4, 4, 3, 3, 4, 3, 3, 4, 0, 2, 4, 2, 4, 1, 2, 3, 1, 1, 2, 0, 1, 2]
pubkeycol746 = [2, 4, 2, 2, 3, 3, 3, 0, 1, 0, 2, 0, 2, 0, 4, 1, 2, 2, 3, 0, 2, 1, 0, 4, 0, 4, 1, 4, 2, 0, 3, 1, 3, 2, 1, 4, 4, 3, 2, 0, 3, 0, 0, 3, 1, 0, 4, 0, 3, 4, 0, 3, 4, 4, 2, 0, 2, 2, 1, 3, 3, 0, 3, 4, 2, 1, 2, 1, 3, 0, 2, 3, 0, 0, 3, 0, 2, 3, 4, 3, 1, 0, 0, 1, 4, 2, 1, 2, 0, 1, 2, 2, 4, 4, 0, 0, 3, 0, 0, 4, 0, 4, 2, 2, 0, 3, 3, 1, 1, 1, 0, 0, 0, 0, 1, 3, 1, 0, 4, 4, 3, 0, 4, 4, 2, 2, 3, 4, 4, 0, 1, 3, 0, 0, 2, 3, 1, 3, 3, 0, 3, 1, 4, 0, 2, 4, 3, 3, 3, 1, 4, 0, 2, 4, 2, 3, 2, 0, 1, 2, 0, 1, 4, 2, 3, 4, 0, 0, 0, 4, 0, 2, 1, 0, 0, 3, 4, 2, 1, 3, 3, 3, 1, 1, 0, 1, 1, 4, 3, 4, 2, 3, 2, 4, 3, 0, 3, 1, 0, 4, 4, 1, 4, 4, 1, 2, 3, 2, 1, 1, 0, 0, 1, 3, 3, 3, 0, 4, 1, 2, 4, 4, 3, 2, 2, 1, 2, 1, 4, 1, 4, 0, 0, 1, 2, 4, 3, 2, 4, 1, 0, 0, 2, 0, 0, 4, 0, 1, 3, 1, 2, 0, 4, 2, 1, 4, 2, 1, 1, 2, 2, 1, 4, 4, 4, 0, 2, 1, 2, 2, 3, 0, 3, 4, 0, 3, 0, 0, 0, 2, 3, 3, 4, 4, 4, 4, 2, 0, 1, 2, 0, 1, 4, 1, 2, 4, 3, 2, 0, 3, 2, 4, 4, 2, 4, 2, 1, 0, 2, 3, 1, 1, 1, 4, 1, 0, 1, 0, 4, 4, 1, 4, 3, 1, 4, 2, 3, 0, 4, 4, 1, 2, 0, 4, 3, 3, 4, 4, 1, 0, 2, 2, 4, 0, 3, 1, 1, 0, 4, 3, 0, 1, 3, 0, 4, 4, 2, 0, 1, 0, 4, 2, 1, 2, 4, 1, 2, 1, 4, 3, 1, 0, 0, 3, 2, 4, 2, 4, 1, 1, 0, 3, 4, 3, 1, 4, 4, 2, 1, 4, 0, 4, 2, 0, 1, 2, 0, 4, 3, 1]
pubkeycol747 = [0, 3, 0, 3, 0, 3, 2, 2, 0, 1, 2, 1, 2, 1, 4, 3, 2, 2, 3, 0, 3, 4, 0, 2, 2, 4, 2, 4, 3, 4, 1, 1, 3, 3, 4, 0, 4, 2, 1, 4, 3, 2, 1, 0, 2, 4, 3, 4, 1, 0, 4, 0, 1, 3, 2, 4, 1, 1, 2, 0, 3, 0, 0, 1, 2, 4, 1, 4, 1, 3, 0, 0, 0, 2, 1, 2, 4, 3, 0, 0, 1, 3, 0, 4, 4, 1, 3, 4, 2, 1, 1, 3, 2, 3, 1, 2, 3, 2, 2, 0, 2, 0, 4, 0, 0, 4, 2, 3, 3, 0, 3, 2, 4, 0, 4, 3, 1, 3, 4, 2, 1, 0, 0, 4, 1, 4, 1, 3, 2, 4, 3, 2, 4, 2, 0, 2, 4, 2, 3, 1, 4, 2, 4, 3, 2, 1, 3, 4, 3, 4, 1, 4, 3, 3, 0, 2, 1, 4, 3, 2, 0, 0, 4, 4, 0, 1, 2, 2, 3, 2, 2, 0, 4, 0, 4, 3, 2, 0, 3, 2, 1, 1, 3, 4, 3, 4, 2, 4, 0, 3, 0, 0, 3, 3, 2, 3, 4, 0, 3, 0, 1, 2, 4, 0, 2, 3, 0, 0, 2, 4, 4, 2, 0, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 4, 3, 3, 3, 1, 1, 0, 1, 4, 4, 2, 4, 0, 1, 3, 1, 1, 2, 1, 4, 0, 1, 4, 2, 0, 0, 0, 0, 2, 4, 4, 2, 4, 4, 3, 1, 0, 4, 0, 1, 4, 0, 2, 0, 0, 0, 1, 3, 0, 1, 3, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 4, 2, 0, 1, 4, 2, 3, 4, 1, 3, 0, 0, 4, 1, 1, 1, 4, 2, 4, 2, 0, 2, 3, 3, 4, 3, 0, 3, 0, 4, 4, 2, 3, 2, 0, 2, 0, 4, 4, 4, 1, 2, 4, 2, 0, 1, 1, 1, 1, 2, 0, 3, 0, 0, 4, 1, 3, 4, 3, 4, 4, 0, 3, 3, 1, 1, 2, 2, 0, 3, 1, 2, 4, 1, 0, 3, 0, 2, 0, 3, 2, 3, 4, 1, 0, 0, 3, 4, 1, 1, 0, 4, 3, 4, 2, 4, 0, 1, 1, 3, 4, 2, 4, 3, 4, 1, 4, 3, 1, 4, 2, 1, 0, 3]
pubkeycol748 = [0, 4, 2, 2, 4, 2, 3, 4, 0, 1, 4, 3, 4, 3, 1, 2, 3, 4, 2, 3, 3, 1, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 1, 2, 3, 2, 1, 1, 4, 2, 0, 4, 2, 2, 0, 0, 2, 2, 4, 1, 0, 4, 2, 2, 1, 1, 4, 3, 1, 3, 0, 0, 0, 2, 0, 1, 4, 1, 0, 4, 0, 4, 3, 1, 4, 4, 1, 3, 1, 3, 4, 0, 0, 1, 1, 3, 4, 3, 2, 0, 2, 3, 0, 0, 0, 2, 1, 0, 1, 3, 4, 0, 3, 4, 4, 4, 4, 3, 4, 0, 3, 4, 3, 3, 4, 4, 2, 1, 3, 3, 3, 4, 3, 2, 2, 4, 1, 2, 0, 3, 2, 0, 4, 4, 0, 2, 3, 2, 1, 1, 1, 2, 4, 1, 1, 1, 1, 0, 4, 1, 2, 2, 1, 1, 0, 3, 1, 3, 2, 0, 0, 1, 4, 0, 4, 4, 1, 0, 2, 3, 1, 1, 1, 1, 3, 1, 0, 1, 1, 0, 4, 4, 0, 0, 1, 0, 2, 4, 3, 3, 0, 0, 3, 1, 4, 3, 3, 2, 0, 1, 0, 4, 3, 1, 0, 4, 4, 0, 1, 3, 2, 4, 0, 1, 4, 1, 0, 2, 3, 1, 3, 4, 3, 3, 3, 1, 4, 0, 3, 3, 1, 4, 2, 4, 0, 3, 3, 1, 3, 3, 4, 0, 3, 2, 0, 4, 2, 4, 0, 1, 1, 1, 3, 2, 2, 3, 0, 2, 0, 1, 1, 3, 3, 1, 2, 2, 1, 0, 2, 3, 4, 2, 3, 4, 0, 1, 2, 1, 1, 4, 1, 0, 1, 4, 2, 1, 3, 4, 0, 0, 0, 2, 4, 3, 0, 1, 3, 1, 2, 1, 3, 1, 1, 2, 2, 3, 0, 1, 3, 3, 2, 1, 4, 1, 1, 3, 0, 2, 0, 2, 0, 0, 3, 2, 3, 0, 4, 2, 4, 3, 0, 3, 0, 1, 2, 3, 0, 0, 3, 1, 2, 4, 4, 3, 2, 0, 3, 2, 4, 0, 0, 2, 0, 2, 0, 2, 4, 2, 0, 3, 2, 3, 2, 0, 3, 4, 2, 2, 2, 4, 4, 3, 3, 3, 1, 2, 4, 1, 2, 0, 1, 3, 4, 4, 4, 2, 2, 3, 2, 2, 3, 3, 0, 0, 2, 1, 4, 0, 2, 2]
pubkeycol749 = [0, 3, 3, 0, 3, 3, 1, 2, 3, 1, 0, 1, 0, 0, 1, 1, 3, 3, 4, 3, 4, 4, 3, 2, 1, 0, 4, 1, 3, 2, 2, 4, 3, 0, 0, 1, 4, 4, 2, 3, 3, 0, 1, 1, 4, 2, 2, 0, 3, 4, 4, 4, 0, 0, 1, 4, 2, 2, 0, 2, 3, 4, 4, 4, 0, 2, 0, 4, 4, 4, 1, 3, 3, 3, 1, 1, 0, 1, 2, 0, 3, 0, 3, 2, 2, 0, 2, 3, 1, 0, 4, 0, 1, 1, 3, 3, 3, 2, 4, 4, 4, 2, 3, 2, 1, 0, 2, 1, 2, 3, 3, 2, 2, 0, 0, 1, 4, 3, 3, 0, 1, 1, 2, 4, 4, 3, 0, 3, 4, 0, 4, 0, 1, 1, 1, 0, 4, 0, 2, 4, 1, 2, 0, 1, 2, 1, 0, 4, 0, 1, 1, 3, 0, 2, 0, 4, 0, 4, 3, 3, 0, 0, 3, 1, 2, 0, 3, 3, 0, 4, 0, 4, 2, 1, 1, 2, 4, 0, 3, 1, 2, 2, 0, 0, 4, 4, 2, 1, 1, 2, 2, 3, 3, 3, 0, 0, 3, 4, 4, 3, 0, 2, 4, 3, 4, 3, 0, 4, 1, 1, 4, 1, 2, 3, 3, 0, 0, 4, 4, 2, 0, 1, 3, 0, 0, 2, 2, 0, 0, 0, 3, 2, 2, 0, 1, 2, 2, 0, 3, 1, 4, 1, 3, 4, 4, 1, 2, 2, 3, 3, 4, 4, 0, 1, 4, 1, 4, 4, 1, 0, 3, 3, 3, 4, 4, 2, 2, 1, 1, 0, 1, 3, 0, 0, 4, 4, 0, 4, 1, 2, 4, 2, 4, 2, 4, 3, 1, 4, 1, 2, 4, 3, 1, 0, 1, 1, 4, 0, 0, 0, 1, 0, 4, 4, 4, 4, 1, 1, 3, 0, 3, 4, 0, 4, 3, 1, 0, 4, 2, 3, 4, 4, 3, 2, 3, 3, 4, 4, 1, 4, 0, 2, 1, 0, 4, 3, 3, 3, 4, 4, 1, 1, 1, 4, 2, 4, 2, 2, 3, 3, 3, 0, 2, 1, 4, 1, 0, 1, 3, 1, 3, 2, 1, 2, 2, 3, 4, 1, 0, 3, 2, 3, 1, 4, 1, 3, 0, 1, 2, 4, 2, 4, 3, 3, 4, 1, 0, 4, 3, 1, 3, 0, 4, 4, 1, 2, 3, 0, 1, 4]
pubkeycol750 = [3, 2, 0, 4, 1, 4, 4, 2, 1, 1, 2, 1, 3, 3, 2, 2, 4, 1, 3, 3, 3, 4, 4, 3, 0, 0, 0, 1, 0, 4, 1, 3, 3, 1, 3, 2, 0, 4, 3, 0, 2, 0, 0, 4, 4, 1, 0, 2, 2, 4, 1, 4, 0, 4, 2, 4, 1, 0, 4, 3, 0, 3, 3, 1, 1, 0, 1, 1, 3, 4, 3, 0, 2, 0, 2, 0, 2, 3, 1, 3, 3, 0, 1, 4, 3, 3, 2, 1, 2, 2, 4, 1, 2, 3, 3, 3, 1, 3, 3, 1, 4, 4, 1, 2, 3, 1, 2, 3, 0, 3, 0, 2, 1, 1, 0, 0, 0, 4, 0, 2, 3, 4, 2, 0, 3, 1, 4, 2, 0, 4, 2, 4, 3, 3, 4, 3, 3, 1, 1, 4, 2, 0, 3, 1, 4, 1, 0, 4, 1, 0, 1, 0, 2, 4, 2, 0, 1, 3, 4, 3, 2, 2, 3, 1, 3, 4, 4, 2, 3, 4, 1, 0, 1, 2, 4, 3, 4, 2, 0, 2, 3, 1, 0, 4, 1, 4, 0, 1, 2, 2, 2, 4, 3, 2, 4, 4, 4, 3, 1, 4, 2, 4, 1, 2, 2, 4, 2, 1, 4, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 3, 0, 1, 4, 0, 4, 0, 0, 4, 1, 1, 1, 2, 2, 3, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 4, 3, 1, 3, 1, 0, 3, 4, 1, 4, 2, 0, 0, 4, 2, 0, 4, 0, 0, 3, 3, 2, 2, 4, 3, 2, 0, 1, 4, 1, 2, 1, 4, 1, 2, 1, 4, 0, 4, 4, 2, 1, 4, 4, 0, 1, 2, 1, 0, 4, 2, 3, 0, 4, 1, 0, 3, 4, 3, 1, 3, 1, 1, 4, 3, 2, 4, 0, 4, 4, 0, 2, 2, 3, 3, 1, 4, 1, 3, 3, 4, 2, 0, 3, 0, 0, 1, 1, 4, 2, 1, 4, 4, 3, 0, 4, 1, 2, 0, 1, 0, 1, 4, 0, 4, 0, 0, 3, 3, 2, 4, 2, 4, 1, 3, 4, 4, 3, 4, 3, 3, 4, 4, 2, 1, 0, 4, 4, 0, 1, 2, 4, 3, 1, 0, 1, 0, 3, 4, 0, 4, 0, 2, 3, 3, 1, 4, 4, 3, 4, 2, 1, 0, 2]
pubkeycol751 = [0, 0, 1, 1, 4, 1, 2, 2, 2, 0, 4, 0, 2, 1, 3, 1, 1, 3, 0, 2, 2, 4, 3, 0, 1, 3, 0, 0, 3, 0, 4, 2, 3, 0, 1, 2, 1, 3, 3, 1, 2, 3, 1, 2, 3, 1, 1, 0, 3, 3, 3, 2, 3, 2, 2, 0, 2, 3, 4, 0, 2, 3, 4, 4, 1, 4, 4, 3, 2, 1, 2, 2, 2, 4, 3, 0, 3, 2, 3, 3, 3, 4, 0, 1, 2, 2, 2, 2, 3, 1, 3, 0, 2, 0, 1, 2, 3, 0, 3, 4, 3, 4, 1, 0, 1, 0, 1, 3, 1, 4, 2, 4, 1, 4, 0, 1, 3, 2, 4, 0, 3, 1, 4, 0, 2, 0, 3, 0, 4, 0, 3, 2, 4, 1, 0, 2, 0, 1, 1, 2, 3, 4, 2, 0, 1, 0, 1, 4, 2, 0, 3, 4, 2, 4, 2, 0, 3, 0, 1, 0, 3, 1, 0, 1, 1, 1, 3, 1, 0, 4, 1, 3, 4, 4, 1, 3, 0, 2, 1, 2, 2, 4, 2, 2, 1, 4, 0, 3, 4, 3, 4, 2, 3, 3, 0, 1, 2, 2, 2, 2, 4, 0, 4, 2, 0, 4, 1, 1, 1, 2, 4, 0, 3, 2, 2, 4, 0, 1, 3, 1, 4, 2, 0, 1, 2, 0, 2, 3, 1, 4, 3, 2, 2, 3, 2, 4, 4, 1, 3, 3, 0, 2, 4, 3, 0, 2, 3, 1, 3, 3, 0, 2, 2, 2, 2, 4, 3, 0, 3, 1, 4, 0, 2, 3, 2, 3, 2, 0, 3, 4, 0, 3, 0, 2, 3, 3, 2, 0, 1, 1, 3, 3, 4, 0, 1, 1, 4, 3, 4, 4, 3, 2, 0, 2, 4, 3, 1, 0, 1, 0, 0, 1, 0, 0, 3, 0, 1, 1, 4, 2, 1, 2, 4, 4, 1, 3, 0, 3, 0, 0, 4, 3, 3, 1, 4, 1, 0, 1, 4, 4, 2, 4, 2, 4, 1, 3, 3, 4, 4, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 4, 2, 3, 2, 2, 3, 4, 2, 3, 4, 2, 4, 0, 1, 3, 3, 2, 3, 1, 3, 3, 4, 3, 4, 0, 1, 0, 1, 3, 1, 2, 3, 1, 2, 0, 0, 1, 3, 0, 0, 1, 1, 1, 2, 4, 0, 1, 1, 3, 0]
pubkeycol752 = [2, 1, 3, 2, 0, 0, 4, 2, 2, 0, 3, 2, 1, 1, 2, 3, 3, 0, 1, 1, 3, 3, 3, 2, 1, 3, 1, 0, 0, 1, 3, 0, 4, 4, 0, 1, 3, 4, 0, 1, 2, 4, 3, 2, 4, 1, 4, 4, 2, 1, 4, 0, 4, 4, 3, 3, 3, 0, 2, 3, 0, 4, 4, 4, 3, 1, 4, 2, 2, 4, 4, 0, 4, 3, 4, 0, 2, 0, 4, 4, 1, 2, 0, 3, 2, 3, 2, 1, 3, 4, 0, 2, 0, 2, 4, 1, 1, 0, 1, 0, 1, 4, 4, 4, 0, 3, 4, 1, 1, 0, 3, 0, 3, 0, 4, 1, 0, 3, 4, 0, 4, 4, 1, 3, 2, 3, 0, 4, 1, 3, 4, 0, 3, 0, 3, 0, 0, 2, 4, 3, 2, 3, 1, 2, 1, 2, 2, 3, 4, 1, 4, 4, 1, 1, 0, 0, 3, 2, 3, 0, 1, 4, 1, 3, 3, 3, 4, 3, 1, 4, 2, 4, 1, 1, 0, 1, 4, 3, 4, 0, 3, 4, 0, 3, 1, 4, 0, 2, 2, 4, 3, 3, 0, 2, 1, 0, 4, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 4, 1, 1, 0, 0, 1, 0, 4, 0, 0, 0, 4, 3, 3, 2, 3, 1, 4, 3, 1, 3, 4, 0, 4, 3, 1, 3, 0, 4, 1, 0, 0, 0, 4, 4, 2, 0, 2, 3, 4, 1, 4, 4, 1, 3, 1, 0, 3, 4, 2, 4, 1, 0, 0, 1, 3, 1, 2, 1, 2, 1, 4, 0, 0, 4, 0, 1, 1, 3, 3, 0, 4, 0, 2, 3, 4, 2, 0, 2, 4, 4, 4, 3, 1, 1, 4, 3, 4, 0, 2, 2, 0, 1, 3, 2, 1, 0, 0, 0, 1, 4, 2, 3, 0, 0, 2, 3, 3, 1, 2, 4, 1, 0, 3, 4, 0, 3, 1, 1, 0, 2, 1, 1, 4, 3, 2, 0, 4, 1, 2, 4, 4, 0, 1, 0, 0, 4, 3, 2, 2, 1, 2, 4, 3, 4, 4, 2, 2, 0, 4, 3, 3, 4, 4, 1, 0, 4, 1, 3, 3, 0, 3, 2, 1, 4, 0, 0, 1, 2, 2, 1, 1, 3, 3, 3, 4, 0, 2, 4, 0, 2, 2, 0, 1, 4, 1, 2, 0, 4, 0]
pubkeycol753 = [2, 3, 3, 1, 2, 1, 4, 0, 4, 4, 3, 2, 0, 4, 1, 3, 1, 3, 0, 2, 3, 2, 0, 0, 0, 1, 2, 1, 3, 1, 2, 3, 2, 3, 1, 1, 3, 2, 2, 2, 2, 1, 1, 0, 3, 4, 2, 4, 1, 4, 1, 0, 0, 0, 3, 0, 3, 2, 4, 2, 0, 0, 3, 0, 0, 4, 0, 1, 3, 3, 1, 4, 2, 4, 1, 0, 4, 1, 2, 0, 1, 2, 0, 4, 2, 4, 3, 4, 4, 1, 1, 3, 2, 4, 0, 1, 0, 3, 4, 0, 0, 3, 2, 4, 4, 3, 3, 4, 1, 4, 0, 4, 2, 0, 1, 2, 0, 2, 0, 1, 4, 2, 4, 3, 1, 3, 4, 3, 2, 0, 2, 0, 4, 4, 0, 1, 0, 2, 2, 2, 3, 1, 1, 4, 1, 2, 3, 0, 2, 4, 4, 3, 2, 2, 3, 4, 4, 2, 0, 4, 4, 1, 1, 3, 2, 2, 2, 1, 4, 1, 0, 3, 2, 2, 4, 3, 0, 4, 3, 4, 2, 0, 0, 0, 3, 0, 2, 0, 2, 4, 3, 3, 4, 1, 1, 0, 2, 4, 0, 0, 2, 2, 2, 3, 4, 1, 4, 2, 3, 4, 3, 0, 4, 4, 1, 2, 1, 1, 0, 0, 2, 0, 2, 3, 3, 3, 1, 0, 2, 3, 4, 2, 4, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 3, 0, 0, 0, 4, 4, 0, 3, 4, 0, 4, 2, 3, 1, 0, 1, 2, 2, 3, 3, 1, 1, 2, 4, 1, 3, 1, 0, 3, 2, 4, 0, 0, 1, 2, 4, 1, 3, 4, 1, 1, 1, 3, 4, 1, 2, 1, 3, 4, 1, 4, 3, 2, 1, 4, 4, 4, 2, 4, 1, 0, 3, 0, 1, 3, 0, 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 3, 1, 4, 2, 4, 4, 4, 2, 3, 4, 0, 1, 4, 4, 3, 1, 2, 4, 1, 0, 4, 0, 3, 2, 3, 2, 1, 0, 1, 3, 1, 3, 1, 0, 0, 1, 0, 0, 2, 1, 3, 1, 2, 3, 2, 0, 2, 4, 1, 2, 0, 3, 0, 2, 3, 0, 0, 2, 1, 1, 3, 3, 0, 4, 2, 3, 1, 4, 1, 4, 1, 1, 0, 0, 0, 1, 0, 4, 0, 1]
pubkeycol754 = [0, 4, 3, 2, 0, 4, 0, 3, 0, 2, 4, 0, 0, 1, 4, 2, 4, 0, 3, 4, 4, 3, 4, 4, 0, 2, 4, 4, 1, 3, 0, 3, 0, 4, 1, 3, 0, 0, 3, 0, 1, 0, 1, 4, 0, 4, 4, 4, 4, 1, 3, 4, 1, 2, 3, 2, 0, 3, 2, 4, 0, 1, 1, 3, 2, 1, 0, 4, 3, 2, 3, 2, 1, 2, 4, 0, 3, 4, 0, 1, 2, 0, 4, 2, 3, 3, 1, 1, 4, 3, 0, 2, 2, 0, 1, 0, 1, 3, 1, 3, 4, 0, 3, 0, 2, 1, 3, 3, 2, 0, 2, 0, 2, 1, 2, 0, 4, 0, 3, 3, 1, 1, 2, 1, 4, 0, 2, 3, 2, 2, 4, 2, 2, 1, 3, 4, 4, 3, 3, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 3, 3, 3, 1, 3, 1, 0, 2, 0, 4, 3, 0, 3, 1, 1, 1, 1, 0, 2, 3, 4, 2, 3, 0, 4, 0, 2, 3, 1, 3, 2, 3, 2, 2, 0, 1, 2, 2, 3, 1, 1, 4, 2, 3, 2, 3, 1, 0, 3, 1, 1, 4, 4, 0, 4, 2, 3, 1, 4, 4, 4, 2, 0, 0, 2, 4, 2, 1, 4, 1, 2, 2, 4, 1, 0, 4, 4, 2, 4, 4, 1, 3, 4, 4, 1, 2, 0, 1, 2, 1, 3, 3, 1, 2, 1, 3, 0, 2, 0, 4, 1, 2, 2, 3, 3, 3, 2, 4, 2, 0, 1, 3, 0, 4, 4, 2, 0, 1, 0, 1, 3, 2, 0, 4, 1, 3, 3, 4, 1, 4, 2, 3, 3, 4, 3, 3, 0, 4, 0, 3, 2, 2, 3, 3, 1, 1, 0, 0, 1, 3, 4, 0, 1, 1, 4, 4, 1, 1, 2, 2, 4, 1, 0, 2, 2, 2, 2, 1, 1, 4, 4, 1, 0, 3, 0, 2, 4, 2, 1, 3, 1, 2, 2, 3, 0, 1, 3, 4, 1, 3, 2, 4, 3, 3, 1, 4, 1, 1, 0, 3, 3, 4, 2, 0, 1, 0, 4, 4, 3, 3, 0, 3, 1, 2, 2, 1, 3, 3, 4, 2, 2, 0, 3, 1, 1, 4, 2, 2, 1, 1, 1, 0, 4, 1, 2, 0, 0, 3, 1, 1, 4, 0, 4, 0, 4, 0, 3, 4, 0, 1, 3]
pubkeycol755 = [2, 3, 2, 1, 1, 0, 1, 3, 4, 2, 4, 0, 2, 2, 4, 1, 0, 4, 4, 4, 3, 3, 0, 4, 3, 0, 1, 4, 1, 3, 3, 1, 4, 0, 4, 1, 4, 0, 0, 3, 1, 3, 1, 1, 0, 1, 3, 1, 2, 2, 3, 4, 4, 1, 3, 1, 2, 3, 3, 4, 4, 2, 1, 3, 2, 0, 4, 4, 3, 3, 2, 3, 0, 2, 3, 0, 3, 0, 3, 0, 2, 2, 4, 4, 3, 0, 0, 3, 3, 2, 4, 4, 0, 3, 4, 2, 1, 2, 2, 3, 2, 2, 4, 2, 4, 1, 2, 4, 0, 4, 1, 4, 2, 4, 0, 3, 0, 1, 3, 1, 3, 2, 0, 0, 3, 3, 2, 2, 1, 0, 4, 0, 2, 0, 0, 1, 2, 4, 3, 3, 2, 3, 0, 0, 2, 1, 1, 3, 3, 3, 0, 1, 3, 0, 3, 2, 3, 2, 1, 2, 3, 2, 4, 3, 3, 2, 3, 4, 1, 3, 4, 4, 4, 4, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 3, 1, 4, 1, 4, 3, 4, 2, 1, 4, 2, 3, 3, 1, 2, 3, 4, 0, 2, 1, 1, 0, 0, 1, 3, 3, 1, 4, 3, 1, 4, 0, 3, 2, 4, 3, 2, 0, 0, 2, 4, 3, 3, 4, 1, 3, 2, 1, 3, 4, 1, 3, 2, 1, 4, 0, 3, 4, 2, 2, 2, 3, 4, 0, 3, 2, 3, 1, 1, 0, 1, 3, 3, 2, 0, 3, 4, 0, 1, 2, 3, 3, 0, 0, 2, 4, 3, 0, 3, 2, 3, 4, 0, 4, 1, 3, 2, 1, 0, 3, 3, 2, 3, 4, 3, 2, 0, 1, 4, 4, 3, 3, 1, 1, 0, 4, 3, 3, 0, 4, 4, 0, 1, 0, 3, 2, 4, 3, 3, 3, 1, 3, 1, 4, 4, 0, 1, 0, 3, 4, 0, 3, 0, 2, 2, 3, 1, 1, 1, 3, 4, 0, 1, 4, 0, 1, 2, 4, 2, 2, 3, 0, 2, 3, 1, 2, 2, 1, 0, 3, 3, 2, 1, 0, 1, 4, 3, 1, 1, 2, 0, 3, 4, 1, 4, 0, 1, 4, 1, 3, 0, 2, 3, 2, 0, 2, 3, 0, 2, 3, 3, 4, 0, 1, 0, 0, 0, 3, 4, 0, 2, 1, 0, 4, 0, 4]
pubkeycol756 = [3, 2, 1, 3, 4, 0, 0, 0, 3, 3, 0, 0, 3, 1, 2, 1, 2, 1, 0, 1, 1, 0, 3, 4, 0, 0, 1, 3, 3, 1, 4, 1, 3, 3, 1, 0, 1, 1, 2, 4, 4, 4, 0, 1, 2, 4, 4, 4, 2, 1, 2, 2, 3, 2, 2, 3, 4, 0, 1, 2, 3, 1, 1, 1, 3, 4, 0, 1, 3, 2, 4, 0, 3, 0, 2, 2, 4, 3, 0, 1, 2, 0, 0, 1, 4, 2, 2, 3, 0, 4, 3, 0, 0, 4, 0, 2, 2, 1, 3, 3, 1, 3, 0, 3, 1, 3, 1, 2, 4, 4, 4, 1, 0, 0, 1, 2, 4, 0, 3, 4, 4, 1, 2, 3, 0, 3, 2, 1, 4, 2, 0, 4, 4, 4, 2, 2, 4, 3, 1, 4, 2, 4, 2, 0, 0, 2, 0, 2, 1, 1, 4, 0, 2, 3, 0, 2, 0, 3, 0, 2, 0, 0, 4, 2, 1, 1, 3, 3, 0, 1, 4, 1, 4, 4, 0, 2, 3, 1, 1, 4, 2, 1, 3, 0, 0, 0, 2, 2, 3, 2, 4, 1, 4, 2, 2, 1, 4, 1, 1, 2, 2, 2, 2, 3, 2, 4, 3, 4, 0, 0, 2, 0, 0, 2, 4, 3, 0, 3, 0, 1, 3, 3, 0, 0, 3, 2, 2, 1, 2, 3, 2, 1, 2, 1, 0, 0, 2, 0, 0, 4, 4, 2, 1, 3, 0, 3, 3, 1, 3, 4, 0, 2, 3, 2, 2, 4, 0, 0, 0, 0, 2, 3, 1, 4, 4, 3, 4, 2, 1, 2, 4, 4, 0, 1, 1, 3, 1, 3, 4, 0, 4, 4, 3, 0, 2, 3, 0, 2, 1, 2, 1, 1, 0, 3, 3, 2, 1, 1, 4, 0, 0, 1, 0, 1, 1, 1, 0, 4, 2, 1, 0, 3, 2, 1, 2, 2, 0, 0, 4, 2, 1, 1, 2, 3, 1, 2, 0, 3, 2, 3, 3, 4, 0, 0, 2, 2, 3, 4, 4, 4, 4, 4, 3, 1, 2, 1, 4, 0, 2, 3, 3, 1, 3, 0, 2, 2, 2, 4, 0, 4, 2, 2, 1, 2, 3, 4, 4, 4, 3, 1, 4, 2, 2, 1, 4, 0, 3, 2, 4, 1, 2, 1, 3, 3, 1, 4, 4, 1, 4, 1, 0, 0, 3, 0, 4, 0, 4, 4, 4, 3]
pubkeycol757 = [1, 0, 1, 3, 0, 4, 0, 1, 3, 3, 3, 0, 4, 0, 1, 1, 2, 0, 0, 2, 2, 3, 4, 2, 0, 4, 1, 3, 4, 3, 1, 1, 3, 4, 3, 0, 0, 3, 0, 1, 4, 1, 0, 2, 1, 3, 4, 1, 3, 2, 4, 3, 2, 0, 3, 4, 2, 1, 0, 0, 1, 3, 0, 0, 2, 3, 1, 3, 4, 2, 0, 0, 2, 3, 0, 0, 1, 0, 4, 1, 4, 3, 4, 4, 4, 3, 2, 1, 0, 3, 0, 3, 3, 2, 1, 3, 4, 2, 1, 3, 2, 3, 2, 3, 1, 3, 0, 1, 3, 4, 4, 2, 2, 0, 1, 2, 4, 0, 0, 4, 0, 1, 1, 2, 2, 1, 3, 2, 4, 4, 1, 2, 3, 2, 0, 2, 0, 3, 1, 0, 2, 3, 3, 1, 4, 3, 2, 4, 4, 3, 1, 0, 3, 0, 3, 3, 2, 2, 4, 3, 3, 1, 3, 4, 3, 1, 1, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 0, 4, 0, 1, 1, 3, 3, 3, 1, 0, 0, 2, 2, 4, 0, 0, 1, 3, 0, 0, 4, 4, 2, 0, 0, 1, 3, 0, 1, 0, 0, 3, 3, 2, 2, 4, 1, 1, 3, 2, 4, 0, 4, 0, 3, 2, 3, 0, 4, 3, 2, 1, 0, 1, 1, 0, 3, 3, 3, 2, 3, 0, 3, 3, 0, 3, 0, 0, 4, 3, 4, 1, 0, 2, 2, 3, 0, 4, 3, 3, 0, 4, 3, 3, 0, 0, 2, 3, 4, 4, 2, 4, 0, 4, 1, 3, 2, 4, 2, 1, 3, 0, 1, 4, 1, 2, 1, 1, 4, 2, 1, 0, 0, 1, 4, 0, 2, 2, 2, 2, 2, 3, 4, 3, 3, 0, 1, 1, 3, 2, 3, 0, 4, 0, 1, 0, 1, 4, 2, 1, 1, 3, 2, 0, 2, 2, 2, 1, 4, 0, 2, 4, 3, 1, 1, 0, 4, 1, 3, 1, 4, 2, 1, 4, 2, 0, 2, 0, 3, 2, 1, 2, 0, 1, 3, 4, 0, 0, 2, 2, 2, 2, 1, 4, 3, 1, 4, 0, 4, 2, 0, 4, 3, 4, 1, 0, 4, 1, 2, 1, 0, 4, 2, 1, 3, 0, 4, 1, 2, 1, 0, 4, 4, 1, 1, 1, 1, 3, 4, 0, 1, 2, 0]
pubkeycol758 = [1, 0, 4, 1, 0, 4, 3, 3, 2, 4, 0, 0, 0, 3, 4, 2, 2, 2, 3, 0, 0, 2, 1, 1, 1, 1, 4, 3, 3, 3, 3, 2, 0, 4, 3, 3, 3, 0, 2, 4, 2, 3, 0, 0, 3, 3, 0, 3, 2, 2, 0, 1, 2, 2, 3, 1, 0, 0, 2, 3, 2, 0, 3, 3, 0, 3, 4, 3, 3, 0, 1, 4, 4, 3, 4, 2, 3, 2, 2, 1, 0, 4, 0, 3, 4, 1, 0, 4, 1, 2, 0, 0, 1, 3, 2, 2, 1, 0, 2, 1, 1, 3, 1, 1, 2, 1, 3, 1, 4, 1, 3, 0, 2, 2, 3, 3, 0, 3, 4, 0, 1, 0, 2, 2, 3, 2, 2, 4, 1, 2, 1, 3, 4, 0, 4, 2, 4, 3, 2, 2, 0, 3, 1, 1, 2, 1, 2, 0, 3, 1, 3, 1, 0, 0, 2, 2, 1, 2, 4, 3, 2, 4, 3, 2, 3, 0, 0, 0, 2, 1, 3, 1, 4, 1, 3, 4, 0, 1, 3, 0, 4, 4, 3, 1, 2, 4, 3, 1, 2, 0, 1, 2, 0, 0, 0, 4, 4, 1, 3, 0, 2, 3, 3, 3, 3, 4, 2, 4, 3, 2, 0, 0, 4, 4, 4, 3, 2, 4, 1, 3, 3, 2, 2, 4, 1, 0, 4, 3, 0, 4, 1, 1, 2, 3, 3, 1, 3, 1, 4, 2, 0, 2, 3, 3, 4, 4, 2, 4, 4, 3, 2, 0, 4, 0, 1, 0, 2, 1, 0, 3, 1, 3, 4, 0, 2, 1, 0, 2, 3, 4, 4, 1, 4, 2, 2, 1, 4, 3, 2, 2, 2, 4, 0, 2, 3, 1, 3, 4, 2, 0, 1, 1, 3, 1, 1, 0, 3, 1, 3, 2, 2, 1, 4, 1, 3, 3, 4, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 3, 3, 2, 0, 2, 0, 4, 2, 2, 4, 3, 4, 1, 3, 0, 3, 2, 1, 2, 2, 3, 2, 4, 2, 0, 2, 2, 4, 2, 2, 2, 1, 2, 0, 4, 2, 1, 1, 2, 3, 3, 4, 0, 4, 4, 4, 0, 2, 1, 1, 4, 1, 0, 4, 3, 4, 1, 4, 2, 3, 0, 2, 3, 0, 3, 3, 1, 0, 4, 4, 0, 2, 4, 3, 2, 0, 2, 4, 2]
pubkeycol759 = [2, 3, 2, 2, 4, 3, 2, 1, 3, 0, 2, 4, 2, 3, 0, 0, 2, 3, 3, 3, 1, 3, 4, 3, 4, 3, 3, 2, 3, 0, 2, 2, 0, 2, 0, 0, 3, 0, 2, 4, 0, 3, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 3, 1, 4, 1, 3, 2, 2, 0, 4, 0, 2, 0, 1, 1, 2, 4, 4, 3, 4, 2, 0, 0, 4, 3, 3, 3, 4, 1, 2, 1, 2, 3, 3, 1, 2, 2, 4, 0, 0, 3, 3, 3, 3, 0, 1, 0, 2, 3, 0, 4, 2, 2, 1, 1, 1, 2, 1, 4, 0, 3, 0, 2, 1, 1, 4, 4, 3, 2, 0, 0, 1, 4, 0, 1, 4, 3, 0, 1, 2, 3, 0, 2, 2, 3, 0, 1, 4, 2, 0, 3, 4, 4, 1, 4, 0, 2, 0, 1, 0, 4, 2, 0, 4, 1, 1, 3, 2, 3, 2, 0, 3, 1, 4, 4, 3, 1, 1, 3, 3, 3, 4, 4, 2, 2, 3, 2, 1, 1, 0, 4, 4, 2, 0, 4, 4, 0, 4, 3, 0, 3, 4, 4, 0, 2, 4, 0, 2, 2, 1, 0, 3, 4, 4, 4, 2, 1, 3, 4, 4, 0, 3, 2, 3, 2, 3, 0, 1, 3, 2, 2, 0, 1, 0, 1, 1, 3, 4, 4, 1, 4, 1, 1, 1, 0, 1, 1, 2, 4, 0, 4, 0, 2, 2, 1, 0, 4, 0, 0, 4, 1, 1, 3, 2, 0, 2, 0, 1, 4, 1, 3, 3, 4, 1, 4, 1, 4, 3, 0, 1, 0, 3, 0, 1, 2, 4, 3, 2, 2, 2, 0, 4, 0, 3, 3, 4, 0, 3, 2, 0, 2, 2, 2, 0, 0, 1, 4, 0, 3, 0, 2, 0, 0, 1, 4, 0, 2, 2, 0, 3, 1, 3, 0, 2, 1, 0, 3, 3, 3, 0, 3, 4, 1, 4, 1, 1, 2, 2, 1, 4, 0, 1, 4, 1, 1, 4, 1, 2, 1, 2, 4, 4, 3, 0, 3, 2, 1, 0, 2, 0, 1, 2, 2, 4, 3, 0, 4, 0, 3, 2, 0, 4, 1, 1, 0, 4, 1, 3, 0, 0, 4, 4, 2, 0, 1, 1, 3, 4, 0, 0, 3, 0, 2, 4, 1, 1, 1, 1, 0, 3, 3, 0, 0, 3, 2]
pubkeycol760 = [4, 3, 4, 1, 4, 0, 4, 1, 2, 4, 1, 1, 2, 3, 4, 4, 1, 0, 2, 1, 2, 1, 4, 3, 3, 1, 4, 0, 4, 1, 3, 0, 0, 2, 2, 2, 3, 0, 2, 4, 4, 1, 4, 1, 2, 4, 4, 4, 4, 1, 3, 0, 4, 1, 1, 4, 0, 3, 4, 1, 2, 1, 0, 1, 0, 2, 2, 3, 2, 2, 2, 4, 3, 3, 1, 0, 0, 4, 3, 0, 1, 0, 4, 4, 4, 2, 4, 4, 2, 3, 1, 1, 1, 4, 1, 4, 3, 2, 2, 0, 4, 3, 4, 2, 1, 3, 0, 0, 3, 0, 1, 4, 2, 0, 3, 4, 0, 2, 3, 4, 2, 4, 3, 2, 0, 3, 3, 1, 4, 2, 2, 1, 0, 0, 4, 1, 2, 1, 1, 4, 4, 2, 1, 2, 3, 4, 1, 3, 3, 2, 3, 0, 1, 3, 3, 2, 3, 2, 3, 1, 2, 4, 2, 4, 4, 4, 3, 1, 4, 2, 4, 0, 0, 3, 4, 3, 3, 0, 4, 4, 1, 1, 3, 0, 1, 3, 4, 2, 1, 0, 2, 2, 0, 0, 4, 4, 4, 1, 4, 1, 4, 0, 3, 2, 0, 4, 3, 3, 4, 4, 1, 0, 1, 0, 4, 3, 1, 3, 4, 0, 2, 2, 1, 3, 1, 3, 2, 0, 4, 1, 1, 1, 3, 0, 1, 0, 2, 2, 0, 0, 2, 3, 1, 0, 2, 4, 0, 3, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 3, 4, 0, 0, 4, 2, 3, 3, 4, 1, 1, 2, 2, 4, 1, 3, 1, 2, 3, 0, 0, 3, 2, 0, 2, 4, 2, 2, 0, 4, 1, 1, 0, 2, 0, 1, 3, 2, 3, 2, 1, 4, 1, 0, 4, 0, 4, 4, 3, 1, 3, 4, 3, 1, 4, 0, 4, 2, 3, 2, 1, 0, 3, 4, 2, 3, 2, 2, 4, 0, 2, 4, 2, 4, 3, 2, 2, 2, 3, 1, 1, 2, 4, 3, 4, 3, 4, 1, 3, 2, 2, 4, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 4, 3, 4, 3, 2, 1, 2, 2, 4, 1, 4, 3, 0, 1, 4, 0, 0, 4, 2, 4, 0, 3, 0, 3, 0, 1, 2, 2, 4, 3, 4, 4, 0, 2, 0, 1, 4, 1, 3, 4]
pubkeycol761 = [3, 4, 4, 1, 0, 1, 2, 3, 0, 3, 4, 3, 1, 4, 3, 4, 3, 2, 2, 2, 3, 0, 2, 2, 0, 3, 1, 1, 3, 3, 3, 4, 0, 1, 3, 4, 3, 1, 3, 0, 0, 0, 1, 3, 1, 4, 2, 1, 0, 1, 1, 1, 2, 3, 2, 3, 4, 3, 0, 1, 3, 4, 4, 0, 1, 1, 0, 0, 0, 2, 1, 2, 3, 4, 0, 2, 2, 2, 4, 2, 1, 4, 1, 4, 1, 1, 3, 4, 3, 4, 4, 0, 4, 1, 4, 2, 4, 2, 3, 2, 1, 4, 1, 0, 1, 2, 2, 2, 3, 3, 0, 0, 4, 1, 2, 2, 0, 1, 3, 2, 4, 0, 0, 2, 2, 4, 4, 1, 2, 4, 0, 3, 1, 0, 2, 0, 1, 3, 2, 1, 4, 2, 4, 3, 0, 2, 3, 2, 2, 0, 2, 1, 4, 3, 3, 1, 3, 0, 4, 4, 0, 3, 1, 3, 3, 4, 0, 3, 2, 3, 1, 1, 0, 4, 4, 4, 3, 1, 3, 2, 4, 4, 1, 3, 3, 4, 2, 3, 3, 1, 3, 3, 1, 3, 0, 0, 3, 2, 1, 1, 1, 2, 4, 2, 0, 3, 4, 3, 3, 3, 0, 4, 0, 0, 4, 1, 4, 0, 0, 1, 1, 3, 2, 4, 0, 1, 3, 0, 4, 0, 4, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 4, 3, 1, 2, 1, 3, 2, 4, 4, 4, 2, 3, 0, 0, 3, 3, 1, 0, 0, 3, 2, 4, 0, 1, 3, 4, 4, 3, 1, 1, 1, 1, 0, 4, 2, 2, 3, 4, 4, 1, 4, 2, 3, 3, 2, 1, 2, 4, 4, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 4, 4, 4, 4, 1, 1, 4, 1, 0, 3, 0, 1, 1, 1, 0, 4, 4, 1, 4, 3, 4, 3, 2, 0, 3, 2, 1, 2, 4, 3, 0, 1, 4, 1, 0, 0, 3, 2, 2, 4, 2, 3, 1, 4, 3, 0, 0, 4, 4, 1, 0, 3, 0, 1, 0, 0, 4, 0, 1, 0, 1, 1, 3, 4, 1, 1, 0, 3, 4, 3, 4, 4, 0, 0, 3, 1, 1, 0, 0, 4, 4, 2, 1, 4, 4, 1, 0, 1, 4, 1, 0, 1, 1, 1, 2, 4, 0]
pubkeycol762 = [4, 1, 1, 0, 4, 3, 2, 0, 3, 0, 2, 2, 0, 0, 4, 2, 4, 0, 2, 1, 4, 4, 4, 3, 2, 0, 1, 1, 3, 3, 1, 0, 4, 4, 4, 3, 1, 4, 2, 2, 4, 0, 3, 3, 0, 3, 0, 1, 3, 0, 1, 2, 3, 3, 0, 4, 4, 3, 3, 2, 4, 1, 2, 3, 2, 2, 0, 2, 4, 4, 1, 4, 1, 4, 0, 1, 0, 2, 3, 2, 4, 4, 2, 2, 2, 4, 2, 4, 0, 2, 0, 3, 2, 1, 4, 2, 4, 3, 1, 0, 0, 0, 1, 4, 1, 1, 1, 4, 4, 3, 4, 1, 3, 4, 1, 3, 3, 3, 3, 2, 4, 1, 3, 3, 2, 4, 2, 1, 4, 3, 4, 1, 0, 0, 1, 2, 2, 0, 3, 3, 2, 1, 0, 4, 3, 0, 1, 2, 2, 1, 2, 0, 4, 4, 1, 2, 3, 3, 1, 3, 1, 2, 4, 1, 2, 4, 1, 3, 0, 4, 3, 0, 4, 1, 1, 0, 0, 2, 3, 1, 2, 0, 4, 2, 1, 2, 1, 4, 4, 4, 4, 4, 4, 0, 4, 2, 0, 2, 1, 4, 2, 3, 0, 1, 0, 4, 0, 4, 3, 4, 0, 3, 1, 3, 3, 3, 2, 3, 0, 0, 3, 1, 2, 4, 4, 0, 2, 2, 0, 2, 4, 1, 1, 1, 1, 3, 3, 0, 2, 0, 4, 2, 4, 1, 3, 4, 4, 3, 1, 0, 3, 0, 0, 3, 3, 2, 0, 0, 4, 1, 3, 0, 4, 3, 2, 2, 3, 2, 3, 1, 2, 4, 0, 3, 0, 3, 2, 2, 0, 0, 4, 1, 2, 0, 4, 0, 2, 4, 3, 0, 4, 2, 1, 2, 4, 4, 2, 4, 0, 1, 3, 1, 0, 4, 1, 3, 3, 0, 1, 4, 4, 4, 0, 2, 4, 0, 4, 2, 4, 1, 2, 1, 3, 3, 0, 4, 0, 0, 1, 2, 3, 1, 3, 2, 2, 2, 0, 2, 4, 0, 2, 3, 3, 2, 0, 3, 1, 2, 0, 1, 4, 1, 0, 2, 4, 2, 4, 0, 2, 3, 4, 2, 2, 3, 4, 1, 1, 2, 1, 1, 3, 4, 3, 3, 2, 4, 3, 0, 1, 3, 2, 0, 0, 3, 1, 4, 3, 1, 0, 2, 2, 0, 0, 4, 0, 0, 3, 2, 1, 3]
pubkeycol763 = [3, 2, 3, 4, 3, 1, 1, 3, 1, 4, 1, 0, 4, 1, 1, 3, 1, 4, 4, 0, 4, 4, 1, 4, 3, 4, 4, 3, 2, 3, 2, 3, 2, 3, 1, 3, 3, 3, 4, 1, 3, 1, 4, 2, 2, 3, 2, 1, 0, 2, 0, 4, 3, 3, 1, 3, 0, 1, 1, 2, 1, 4, 3, 0, 4, 1, 3, 1, 4, 3, 2, 4, 3, 0, 4, 1, 1, 3, 3, 0, 1, 0, 1, 3, 4, 3, 1, 3, 1, 3, 3, 2, 2, 4, 4, 4, 4, 0, 0, 4, 1, 4, 3, 4, 3, 0, 3, 4, 2, 2, 3, 1, 1, 3, 2, 0, 4, 0, 1, 3, 0, 4, 4, 3, 0, 4, 4, 3, 1, 3, 1, 0, 4, 4, 1, 4, 2, 3, 2, 4, 4, 2, 2, 3, 3, 4, 2, 1, 0, 4, 3, 0, 0, 3, 1, 3, 1, 3, 2, 3, 1, 3, 1, 1, 4, 0, 0, 3, 1, 4, 0, 4, 3, 0, 2, 4, 3, 0, 0, 1, 0, 0, 3, 1, 3, 2, 2, 4, 2, 1, 4, 3, 2, 1, 1, 1, 0, 4, 1, 3, 2, 2, 1, 0, 0, 2, 3, 1, 0, 2, 2, 2, 0, 2, 2, 3, 0, 0, 0, 1, 0, 3, 0, 4, 1, 1, 1, 3, 1, 0, 0, 2, 0, 0, 0, 1, 1, 3, 1, 0, 2, 4, 0, 3, 2, 2, 1, 3, 4, 3, 1, 2, 1, 2, 4, 2, 4, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 3, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 3, 3, 3, 3, 3, 0, 4, 4, 3, 0, 0, 4, 2, 4, 0, 1, 3, 3, 0, 0, 1, 0, 4, 2, 1, 2, 4, 0, 3, 3, 1, 1, 4, 3, 0, 4, 0, 2, 3, 0, 0, 0, 0, 1, 3, 2, 3, 4, 0, 1, 2, 2, 1, 2, 3, 0, 2, 1, 4, 2, 3, 0, 3, 2, 3, 4, 0, 0, 1, 3, 0, 4, 2, 2, 0, 3, 3, 1, 2, 3, 2, 1, 4, 0, 4, 1, 1, 2, 3, 3, 0, 1, 0, 3, 2, 1, 3, 0, 1, 2, 3, 1, 4, 2, 4, 3, 0, 2, 3, 4, 0, 4, 0, 1, 3, 4, 3, 3]
pubkeycol764 = [1, 0, 0, 3, 3, 3, 3, 3, 1, 2, 1, 3, 4, 1, 2, 2, 4, 3, 1, 2, 2, 3, 1, 0, 1, 4, 3, 0, 2, 1, 2, 4, 1, 3, 4, 0, 3, 0, 3, 2, 4, 0, 4, 1, 3, 2, 0, 2, 3, 4, 1, 0, 3, 2, 0, 4, 1, 0, 4, 4, 2, 0, 1, 1, 2, 2, 2, 0, 2, 4, 3, 1, 4, 0, 4, 3, 3, 4, 3, 0, 3, 4, 2, 0, 2, 4, 1, 3, 3, 4, 1, 4, 2, 2, 3, 0, 2, 1, 3, 3, 4, 2, 1, 2, 4, 2, 3, 3, 4, 3, 4, 1, 1, 3, 2, 0, 2, 1, 2, 0, 1, 4, 1, 2, 0, 0, 4, 1, 2, 2, 1, 2, 3, 2, 1, 1, 0, 0, 4, 0, 3, 4, 1, 1, 3, 2, 4, 1, 0, 3, 2, 4, 4, 3, 4, 4, 2, 4, 2, 3, 3, 2, 3, 0, 1, 3, 2, 4, 3, 0, 0, 1, 0, 4, 3, 2, 0, 1, 4, 4, 2, 3, 3, 3, 3, 2, 1, 1, 0, 4, 0, 2, 0, 3, 3, 1, 2, 2, 1, 4, 1, 2, 2, 4, 2, 1, 2, 2, 0, 0, 2, 3, 2, 3, 2, 1, 1, 0, 0, 2, 4, 0, 0, 2, 2, 2, 4, 2, 1, 3, 4, 3, 2, 4, 2, 4, 4, 4, 1, 1, 1, 0, 3, 0, 1, 3, 4, 3, 4, 1, 3, 4, 2, 0, 0, 3, 3, 4, 1, 0, 4, 2, 0, 2, 0, 1, 1, 3, 2, 4, 4, 3, 3, 1, 3, 0, 4, 3, 4, 1, 4, 0, 4, 0, 2, 3, 4, 4, 0, 1, 0, 2, 2, 0, 4, 4, 3, 3, 0, 2, 1, 4, 2, 1, 0, 0, 1, 3, 4, 0, 2, 1, 3, 2, 0, 4, 2, 0, 0, 3, 4, 0, 4, 2, 4, 3, 2, 3, 4, 2, 4, 4, 2, 0, 0, 3, 3, 4, 4, 3, 0, 2, 0, 3, 3, 0, 3, 0, 1, 0, 4, 3, 1, 1, 1, 0, 3, 3, 2, 1, 0, 4, 2, 0, 4, 1, 3, 4, 4, 3, 1, 4, 4, 0, 4, 1, 2, 0, 3, 2, 3, 0, 4, 4, 1, 1, 2, 3, 0, 0, 0, 3, 0, 1, 4, 1, 2, 0, 3, 0]
pubkeycol765 = [3, 1, 0, 4, 0, 0, 2, 2, 1, 4, 3, 1, 1, 4, 2, 4, 3, 0, 4, 3, 1, 3, 0, 0, 3, 1, 0, 0, 4, 2, 2, 1, 4, 4, 3, 0, 3, 1, 4, 2, 4, 4, 4, 1, 1, 4, 3, 4, 1, 0, 0, 4, 4, 3, 0, 3, 3, 1, 4, 0, 4, 2, 2, 2, 3, 4, 1, 1, 2, 4, 0, 2, 0, 2, 2, 4, 4, 1, 3, 2, 2, 1, 2, 3, 3, 0, 4, 4, 4, 3, 3, 1, 0, 0, 4, 1, 2, 1, 1, 2, 1, 0, 4, 4, 0, 1, 4, 3, 0, 2, 1, 1, 0, 4, 4, 0, 3, 4, 3, 1, 2, 4, 0, 2, 4, 0, 4, 4, 2, 3, 0, 2, 3, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 3, 2, 3, 3, 0, 2, 1, 4, 2, 3, 4, 3, 4, 1, 1, 4, 4, 4, 4, 2, 1, 3, 0, 1, 0, 1, 4, 2, 2, 4, 1, 0, 0, 1, 4, 0, 0, 3, 4, 2, 4, 3, 2, 1, 0, 4, 3, 0, 0, 0, 4, 3, 4, 2, 3, 0, 1, 0, 1, 1, 2, 1, 4, 3, 0, 0, 2, 3, 0, 2, 1, 2, 1, 3, 4, 1, 0, 3, 1, 3, 4, 2, 2, 2, 0, 3, 4, 1, 3, 3, 4, 0, 3, 3, 3, 1, 1, 0, 2, 4, 2, 2, 0, 2, 4, 2, 4, 2, 2, 2, 1, 4, 3, 0, 3, 1, 1, 2, 3, 0, 1, 3, 1, 1, 4, 0, 0, 3, 2, 4, 1, 2, 0, 1, 1, 1, 4, 0, 1, 2, 4, 3, 3, 3, 2, 3, 1, 3, 0, 2, 2, 3, 2, 3, 0, 2, 2, 3, 0, 1, 0, 0, 0, 4, 2, 4, 3, 4, 1, 3, 1, 1, 1, 1, 4, 0, 4, 0, 4, 1, 1, 3, 4, 0, 3, 0, 1, 2, 2, 0, 3, 0, 0, 3, 4, 4, 1, 1, 0, 1, 2, 0, 1, 4, 3, 3, 2, 3, 0, 4, 0, 1, 2, 3, 1, 4, 0, 0, 2, 1, 3, 0, 4, 3, 1, 0, 1, 2, 3, 0, 3, 3, 0, 3, 1, 3, 4, 2, 4, 3, 0, 3, 2, 2, 4, 0, 3, 1, 2, 3, 2, 0, 3, 1, 3, 3, 4]
pubkeycol766 = [2, 2, 3, 1, 2, 0, 0, 2, 3, 0, 2, 0, 3, 1, 1, 4, 4, 4, 2, 0, 1, 2, 3, 3, 3, 4, 4, 3, 2, 0, 4, 4, 4, 3, 4, 2, 0, 1, 0, 1, 3, 1, 0, 1, 0, 4, 3, 0, 1, 0, 3, 0, 2, 2, 0, 3, 2, 3, 4, 1, 1, 4, 3, 0, 4, 1, 4, 3, 2, 0, 1, 0, 3, 3, 4, 0, 0, 3, 4, 2, 3, 2, 3, 0, 2, 3, 0, 1, 4, 1, 3, 2, 4, 1, 0, 2, 4, 0, 1, 2, 2, 2, 4, 1, 4, 4, 1, 2, 2, 2, 2, 2, 1, 3, 3, 2, 3, 2, 2, 3, 1, 0, 4, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 3, 4, 2, 2, 2, 1, 2, 4, 3, 4, 3, 0, 0, 4, 1, 1, 1, 4, 3, 4, 1, 3, 4, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 4, 3, 2, 4, 3, 3, 0, 2, 1, 4, 0, 2, 0, 3, 4, 2, 4, 2, 3, 4, 4, 2, 4, 4, 4, 1, 4, 4, 1, 1, 3, 3, 0, 1, 2, 2, 0, 1, 3, 0, 3, 0, 1, 3, 2, 3, 2, 0, 1, 1, 3, 4, 3, 1, 4, 4, 1, 2, 2, 4, 0, 0, 4, 3, 1, 4, 1, 0, 3, 3, 4, 4, 1, 0, 2, 2, 3, 0, 3, 2, 0, 0, 3, 4, 4, 1, 3, 4, 1, 0, 3, 3, 2, 3, 3, 2, 0, 1, 0, 3, 3, 4, 3, 4, 3, 1, 4, 1, 1, 2, 1, 0, 0, 2, 0, 4, 4, 1, 1, 0, 1, 4, 0, 0, 2, 1, 4, 4, 3, 1, 4, 1, 1, 2, 3, 3, 2, 1, 0, 4, 2, 1, 2, 1, 1, 4, 3, 2, 4, 2, 3, 3, 4, 1, 3, 4, 3, 1, 0, 0, 0, 4, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 3, 0, 4, 3, 3, 0, 1, 0, 2, 4, 0, 0, 4, 2, 0, 2, 0, 0, 1, 0, 4, 2, 0, 0, 0, 3, 1, 1, 2, 3, 1, 1, 4, 3, 1, 3, 4, 2, 3, 3, 2, 1, 2, 1, 3, 3, 3, 4, 3, 0, 1, 1, 0, 4, 1, 3, 0, 3, 0]
pubkeycol767 = [4, 2, 4, 0, 3, 4, 0, 0, 2, 1, 3, 4, 2, 3, 0, 4, 0, 1, 0, 4, 4, 3, 3, 1, 4, 1, 2, 4, 1, 3, 0, 1, 2, 4, 1, 3, 1, 2, 3, 0, 4, 0, 1, 1, 4, 2, 1, 4, 4, 3, 1, 2, 2, 1, 2, 1, 3, 2, 4, 3, 2, 3, 4, 0, 0, 4, 0, 0, 0, 3, 2, 3, 0, 4, 3, 2, 1, 3, 4, 4, 2, 4, 4, 0, 4, 4, 1, 3, 2, 3, 4, 4, 3, 1, 0, 2, 3, 3, 4, 4, 0, 0, 0, 0, 3, 2, 0, 4, 0, 2, 4, 2, 4, 4, 1, 1, 4, 1, 4, 3, 1, 3, 1, 2, 0, 4, 0, 2, 3, 4, 2, 3, 3, 0, 2, 2, 3, 0, 1, 2, 4, 1, 1, 2, 0, 3, 1, 0, 4, 1, 3, 3, 3, 1, 3, 3, 4, 2, 0, 3, 3, 4, 0, 1, 0, 1, 0, 1, 1, 2, 3, 4, 3, 4, 2, 4, 1, 0, 0, 4, 1, 4, 1, 2, 3, 1, 4, 0, 2, 2, 0, 3, 2, 3, 3, 1, 3, 0, 3, 0, 2, 0, 1, 3, 2, 4, 0, 2, 3, 2, 4, 4, 0, 3, 0, 0, 3, 0, 1, 2, 3, 1, 2, 0, 1, 4, 0, 0, 2, 0, 3, 2, 0, 4, 0, 3, 2, 1, 0, 2, 0, 4, 4, 2, 3, 3, 1, 1, 0, 0, 1, 0, 2, 0, 3, 2, 2, 1, 0, 4, 1, 0, 1, 2, 0, 4, 0, 3, 2, 0, 2, 3, 3, 1, 1, 4, 3, 3, 0, 1, 2, 1, 4, 2, 0, 3, 3, 0, 0, 1, 1, 2, 2, 3, 1, 0, 0, 2, 4, 3, 1, 0, 3, 3, 2, 0, 2, 1, 2, 0, 2, 0, 0, 4, 0, 2, 3, 4, 1, 4, 4, 3, 2, 4, 3, 0, 1, 0, 0, 0, 1, 3, 2, 0, 2, 2, 0, 4, 1, 4, 4, 0, 4, 0, 4, 1, 4, 3, 4, 2, 1, 4, 3, 4, 3, 0, 3, 1, 1, 3, 2, 0, 4, 1, 3, 3, 2, 1, 1, 1, 1, 1, 3, 4, 3, 4, 1, 3, 0, 2, 0, 3, 1, 0, 2, 3, 1, 1, 1, 1, 0, 1, 1, 3, 0, 2, 2, 3, 4, 4]
pubkeycol768 = [1, 4, 3, 2, 3, 0, 0, 1, 4, 4, 0, 4, 3, 4, 2, 2, 0, 4, 1, 1, 3, 0, 3, 3, 3, 1, 0, 3, 1, 3, 2, 4, 1, 1, 0, 0, 0, 4, 2, 3, 2, 4, 0, 2, 3, 3, 2, 2, 1, 1, 0, 1, 1, 4, 4, 0, 3, 4, 2, 4, 2, 2, 1, 0, 4, 0, 3, 4, 2, 0, 0, 1, 4, 0, 3, 3, 3, 4, 2, 3, 4, 3, 1, 1, 1, 1, 2, 2, 3, 0, 4, 0, 4, 0, 4, 4, 4, 3, 2, 3, 4, 3, 4, 3, 4, 0, 3, 3, 3, 2, 1, 1, 3, 1, 1, 2, 1, 1, 1, 3, 4, 0, 2, 0, 3, 4, 0, 3, 0, 0, 1, 4, 2, 1, 2, 0, 3, 4, 1, 1, 1, 4, 3, 4, 1, 2, 4, 1, 1, 3, 2, 4, 1, 0, 2, 3, 0, 4, 4, 2, 2, 1, 4, 0, 1, 2, 4, 4, 3, 3, 0, 0, 1, 3, 4, 4, 3, 1, 1, 1, 4, 1, 1, 1, 0, 0, 1, 0, 3, 4, 0, 2, 1, 0, 0, 2, 0, 4, 1, 4, 3, 2, 0, 3, 4, 2, 0, 2, 4, 4, 0, 2, 0, 1, 0, 1, 1, 2, 3, 1, 4, 2, 0, 1, 3, 1, 0, 4, 2, 0, 2, 3, 4, 4, 1, 4, 1, 4, 0, 3, 3, 0, 1, 2, 0, 4, 3, 4, 4, 4, 4, 3, 4, 0, 4, 0, 1, 2, 0, 4, 4, 4, 0, 1, 0, 3, 3, 4, 3, 0, 4, 2, 2, 2, 2, 0, 1, 3, 0, 4, 0, 3, 1, 2, 3, 0, 3, 0, 1, 4, 2, 3, 2, 0, 2, 4, 0, 3, 0, 1, 1, 1, 3, 2, 1, 1, 4, 3, 1, 0, 3, 4, 4, 3, 3, 0, 3, 2, 4, 0, 4, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 4, 2, 2, 1, 3, 3, 0, 0, 4, 1, 4, 2, 2, 4, 2, 4, 4, 3, 4, 0, 0, 3, 2, 2, 3, 1, 4, 2, 0, 2, 3, 2, 0, 3, 3, 4, 4, 2, 4, 4, 1, 1, 1, 1, 2, 2, 0, 0, 4, 1, 0, 2, 3, 2, 3, 1, 0, 0, 0, 1, 2, 4, 4, 1, 4, 3, 2]
pubkeycol769 = [1, 4, 0, 1, 3, 1, 1, 4, 3, 0, 3, 0, 3, 0, 4, 3, 4, 3, 2, 0, 2, 1, 4, 4, 3, 1, 3, 2, 0, 3, 4, 2, 3, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 3, 3, 2, 3, 0, 4, 0, 1, 2, 4, 1, 1, 4, 3, 4, 4, 4, 3, 2, 2, 0, 1, 1, 4, 2, 1, 1, 2, 3, 0, 2, 0, 4, 1, 1, 4, 4, 0, 2, 3, 4, 2, 1, 1, 2, 0, 3, 2, 4, 2, 4, 4, 0, 2, 1, 2, 2, 2, 3, 2, 2, 2, 1, 2, 4, 1, 1, 0, 1, 2, 2, 1, 0, 1, 4, 0, 2, 2, 4, 4, 3, 2, 0, 2, 3, 1, 2, 3, 0, 4, 2, 4, 2, 3, 0, 3, 1, 3, 4, 3, 4, 1, 0, 1, 2, 1, 2, 1, 3, 1, 3, 0, 3, 1, 3, 1, 1, 0, 4, 0, 0, 2, 4, 3, 3, 2, 2, 2, 2, 0, 3, 2, 3, 4, 2, 4, 1, 3, 3, 0, 4, 1, 0, 3, 3, 0, 3, 1, 1, 0, 2, 3, 4, 1, 3, 4, 0, 3, 1, 4, 3, 2, 0, 4, 4, 1, 1, 3, 3, 2, 1, 4, 2, 1, 0, 1, 2, 2, 2, 3, 2, 1, 1, 1, 3, 3, 0, 1, 2, 2, 2, 2, 4, 1, 1, 2, 1, 3, 3, 0, 3, 2, 4, 0, 1, 1, 3, 0, 2, 3, 1, 0, 3, 3, 0, 0, 2, 4, 1, 1, 4, 2, 3, 3, 1, 0, 4, 0, 3, 4, 4, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 4, 3, 3, 3, 1, 3, 1, 4, 3, 2, 4, 2, 3, 0, 2, 0, 3, 1, 3, 4, 0, 1, 0, 1, 0, 0, 2, 4, 1, 2, 1, 3, 4, 3, 1, 0, 2, 1, 4, 4, 2, 3, 3, 4, 4, 3, 3, 0, 4, 4, 0, 1, 0, 1, 3, 3, 1, 0, 4, 0, 3, 3, 2, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 1, 4, 0, 4, 1, 0, 2, 3, 3, 2, 4, 2, 0, 2, 4, 4, 3, 2, 1, 0, 0, 2, 3, 4, 2, 2, 0, 3, 1, 1, 1, 1, 4, 2, 2, 0, 1, 3, 0, 4, 0, 1]
pubkeycol770 = [3, 0, 3, 2, 3, 0, 1, 1, 0, 1, 0, 2, 1, 4, 2, 3, 3, 0, 3, 3, 4, 0, 4, 0, 0, 4, 0, 0, 2, 4, 1, 2, 0, 1, 1, 0, 3, 3, 2, 2, 3, 3, 2, 2, 4, 2, 1, 2, 2, 2, 4, 0, 0, 3, 3, 1, 0, 0, 4, 0, 0, 1, 4, 3, 4, 4, 0, 0, 1, 2, 0, 2, 4, 0, 0, 3, 4, 0, 3, 2, 2, 4, 2, 4, 2, 4, 4, 4, 3, 2, 1, 2, 0, 0, 3, 4, 1, 3, 0, 1, 1, 0, 3, 1, 0, 2, 4, 0, 0, 4, 2, 1, 3, 0, 2, 2, 3, 1, 4, 0, 0, 3, 0, 3, 3, 0, 4, 0, 4, 0, 0, 4, 3, 1, 1, 2, 1, 2, 1, 2, 1, 4, 1, 2, 3, 1, 2, 0, 3, 1, 1, 4, 0, 0, 2, 1, 4, 0, 1, 0, 0, 2, 4, 2, 0, 3, 0, 4, 2, 1, 1, 0, 0, 1, 0, 2, 1, 3, 0, 2, 2, 0, 0, 2, 3, 0, 3, 0, 1, 2, 0, 0, 4, 1, 4, 0, 4, 0, 2, 1, 2, 1, 4, 2, 2, 1, 3, 2, 2, 2, 4, 4, 4, 3, 2, 1, 3, 2, 4, 2, 4, 4, 4, 2, 4, 0, 1, 2, 2, 2, 1, 1, 3, 4, 1, 0, 3, 0, 4, 4, 3, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 4, 3, 1, 0, 3, 1, 4, 4, 2, 0, 0, 0, 4, 2, 0, 0, 4, 4, 3, 2, 1, 2, 1, 4, 1, 4, 1, 4, 2, 2, 4, 4, 0, 0, 0, 1, 1, 3, 2, 0, 0, 1, 4, 2, 0, 4, 2, 0, 1, 2, 3, 3, 2, 0, 1, 2, 4, 3, 2, 1, 0, 1, 3, 3, 2, 4, 2, 0, 4, 4, 2, 2, 0, 2, 4, 0, 2, 1, 2, 3, 0, 1, 2, 4, 3, 4, 1, 3, 4, 1, 0, 2, 3, 0, 2, 0, 1, 3, 0, 1, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 1, 1, 2, 4, 2, 2, 0, 1, 3, 4, 0, 3, 3, 3, 3, 4, 2, 4, 4, 4, 2, 2, 3, 1, 2, 3, 4, 1, 4, 1, 2, 2, 1, 3, 3, 0, 1]
pubkeycol771 = [3, 1, 2, 1, 0, 1, 0, 1, 2, 0, 4, 4, 3, 0, 2, 2, 0, 0, 4, 4, 0, 2, 2, 4, 4, 3, 3, 2, 2, 3, 0, 2, 3, 3, 3, 2, 3, 2, 1, 4, 2, 4, 0, 0, 0, 0, 4, 1, 3, 1, 0, 0, 4, 1, 3, 1, 4, 1, 4, 3, 1, 1, 1, 4, 4, 2, 1, 3, 4, 4, 0, 1, 0, 3, 0, 0, 1, 4, 2, 3, 0, 0, 2, 4, 4, 0, 0, 3, 2, 0, 4, 2, 3, 1, 1, 2, 3, 4, 0, 1, 2, 0, 2, 0, 1, 0, 0, 3, 1, 3, 4, 2, 4, 2, 4, 0, 3, 0, 0, 2, 3, 4, 4, 2, 2, 0, 1, 2, 2, 3, 3, 3, 2, 3, 3, 0, 1, 0, 4, 2, 3, 2, 2, 2, 2, 3, 4, 4, 4, 4, 0, 4, 3, 3, 2, 3, 3, 0, 2, 3, 0, 3, 1, 3, 1, 1, 2, 2, 2, 2, 4, 1, 3, 2, 2, 4, 3, 3, 0, 3, 4, 2, 4, 3, 2, 0, 4, 2, 4, 1, 3, 1, 0, 0, 1, 0, 3, 3, 0, 2, 2, 4, 4, 4, 3, 0, 2, 3, 1, 1, 3, 1, 0, 2, 2, 1, 1, 1, 3, 3, 4, 0, 1, 4, 3, 2, 0, 4, 0, 4, 0, 2, 4, 2, 0, 2, 2, 1, 4, 0, 4, 3, 0, 1, 4, 3, 0, 3, 2, 3, 0, 1, 0, 0, 2, 4, 1, 4, 1, 3, 0, 1, 2, 4, 1, 3, 1, 4, 1, 0, 2, 0, 2, 3, 1, 3, 3, 3, 0, 4, 3, 3, 2, 1, 4, 0, 4, 3, 4, 3, 3, 1, 1, 2, 4, 1, 4, 1, 2, 2, 4, 0, 4, 2, 1, 3, 3, 2, 3, 1, 4, 1, 3, 3, 4, 4, 4, 3, 3, 0, 3, 1, 2, 0, 3, 3, 1, 3, 2, 1, 1, 0, 4, 2, 2, 1, 0, 0, 0, 2, 0, 4, 3, 1, 3, 2, 4, 4, 4, 0, 0, 3, 1, 4, 0, 4, 0, 1, 4, 0, 3, 1, 0, 1, 3, 2, 4, 3, 3, 4, 1, 3, 3, 4, 3, 1, 0, 3, 1, 3, 0, 3, 2, 0, 4, 4, 0, 1, 4, 1, 1, 1, 2, 3, 2, 1, 1, 3, 0, 0]
pubkeycol772 = [1, 3, 3, 2, 4, 1, 1, 2, 0, 0, 1, 2, 4, 4, 4, 3, 0, 4, 3, 1, 3, 4, 1, 4, 4, 3, 1, 1, 3, 4, 3, 2, 3, 3, 2, 3, 4, 1, 0, 2, 1, 3, 0, 1, 4, 4, 1, 0, 0, 2, 3, 0, 2, 2, 4, 4, 4, 4, 0, 0, 2, 2, 3, 0, 3, 2, 4, 1, 1, 1, 4, 4, 4, 4, 1, 4, 1, 4, 2, 3, 4, 1, 4, 1, 4, 4, 3, 3, 4, 1, 3, 0, 4, 1, 1, 2, 4, 4, 2, 1, 0, 3, 2, 2, 4, 2, 1, 1, 4, 3, 1, 2, 0, 0, 3, 3, 4, 3, 4, 4, 1, 4, 2, 0, 1, 0, 2, 2, 1, 3, 1, 3, 3, 3, 4, 3, 0, 1, 3, 1, 3, 0, 4, 2, 3, 4, 4, 0, 3, 4, 3, 1, 4, 2, 0, 0, 4, 4, 4, 0, 3, 1, 0, 0, 1, 1, 0, 2, 4, 0, 2, 2, 0, 2, 0, 4, 1, 4, 4, 0, 1, 0, 4, 4, 0, 0, 2, 1, 4, 4, 3, 4, 2, 0, 0, 0, 4, 4, 0, 1, 3, 4, 0, 4, 4, 0, 3, 0, 4, 1, 3, 0, 1, 0, 3, 3, 4, 1, 2, 3, 2, 3, 2, 0, 4, 3, 0, 3, 1, 0, 4, 1, 2, 3, 2, 1, 4, 2, 3, 1, 1, 3, 4, 0, 1, 4, 3, 4, 3, 0, 1, 1, 1, 0, 1, 3, 2, 3, 0, 3, 4, 1, 3, 4, 0, 3, 1, 0, 3, 3, 3, 4, 0, 4, 1, 3, 0, 2, 4, 0, 0, 0, 3, 0, 3, 0, 2, 0, 4, 1, 1, 4, 0, 2, 4, 3, 4, 2, 3, 1, 3, 0, 3, 1, 2, 0, 3, 2, 0, 3, 0, 3, 0, 4, 0, 2, 3, 2, 4, 0, 4, 0, 1, 1, 4, 2, 3, 1, 2, 4, 2, 3, 2, 1, 2, 4, 0, 3, 3, 2, 3, 4, 3, 4, 3, 1, 3, 4, 1, 0, 1, 4, 2, 2, 4, 4, 3, 0, 4, 1, 0, 1, 1, 3, 1, 1, 3, 4, 2, 2, 3, 3, 4, 0, 1, 2, 2, 2, 2, 0, 4, 0, 3, 4, 4, 4, 2, 1, 3, 2, 0, 4, 4, 4, 1, 3, 1, 0, 0, 4]
pubkeycol773 = [0, 2, 1, 2, 3, 4, 1, 0, 4, 4, 3, 0, 4, 4, 1, 0, 2, 1, 3, 4, 4, 1, 1, 4, 1, 2, 3, 0, 2, 1, 3, 0, 4, 3, 3, 1, 1, 0, 1, 4, 0, 0, 4, 3, 1, 0, 2, 3, 3, 4, 4, 2, 2, 4, 2, 2, 2, 4, 0, 3, 3, 0, 3, 2, 1, 3, 0, 3, 1, 0, 3, 4, 1, 3, 3, 3, 3, 1, 3, 1, 0, 3, 4, 2, 0, 1, 1, 2, 4, 0, 1, 4, 4, 1, 0, 4, 4, 2, 4, 1, 4, 0, 3, 0, 1, 4, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 4, 0, 3, 0, 4, 2, 3, 3, 1, 4, 0, 3, 0, 2, 1, 3, 2, 3, 0, 2, 1, 1, 0, 0, 4, 0, 4, 1, 3, 0, 2, 2, 4, 1, 2, 4, 0, 4, 3, 1, 3, 0, 1, 0, 2, 2, 4, 2, 4, 0, 1, 0, 1, 1, 4, 1, 4, 2, 3, 0, 0, 2, 2, 3, 4, 3, 3, 4, 4, 2, 0, 0, 4, 0, 3, 1, 1, 0, 0, 2, 0, 4, 4, 4, 4, 4, 0, 1, 2, 2, 3, 0, 4, 0, 1, 0, 0, 2, 2, 2, 3, 3, 0, 3, 4, 0, 0, 1, 3, 4, 0, 3, 0, 4, 4, 1, 2, 2, 2, 2, 1, 1, 4, 4, 0, 4, 2, 4, 1, 2, 3, 0, 3, 1, 0, 3, 0, 3, 2, 2, 1, 0, 4, 0, 4, 0, 4, 0, 3, 1, 2, 0, 0, 2, 2, 4, 4, 3, 2, 1, 1, 1, 3, 3, 2, 2, 1, 4, 0, 1, 3, 3, 4, 0, 3, 0, 4, 0, 0, 4, 1, 0, 4, 3, 2, 4, 0, 0, 0, 4, 3, 1, 1, 3, 0, 1, 1, 0, 2, 0, 1, 4, 4, 0, 1, 4, 3, 1, 1, 0, 0, 3, 2, 4, 4, 2, 0, 2, 3, 1, 4, 4, 2, 2, 4, 0, 4, 1, 2, 3, 4, 2, 2, 0, 1, 4, 2, 2, 4, 0, 3, 1, 0, 2, 2, 2, 3, 4, 3, 4, 4, 3, 4, 1, 4, 0, 3, 0, 1, 1, 0, 4, 1, 4, 4, 4, 2, 1, 3, 3, 2, 3, 4, 3, 2, 4, 2, 0, 4, 4, 4, 1, 1]
pubkeycol774 = [1, 3, 0, 1, 0, 2, 0, 4, 4, 1, 3, 3, 3, 1, 3, 2, 4, 0, 0, 4, 0, 3, 3, 1, 3, 3, 1, 4, 2, 3, 1, 2, 4, 0, 2, 0, 4, 0, 1, 4, 2, 0, 0, 4, 4, 0, 3, 3, 0, 2, 4, 4, 4, 2, 4, 0, 4, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 1, 0, 3, 3, 1, 2, 1, 0, 2, 4, 3, 0, 3, 4, 0, 0, 3, 2, 0, 4, 0, 1, 2, 3, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 4, 3, 3, 1, 4, 2, 0, 3, 3, 4, 4, 4, 1, 4, 1, 4, 3, 3, 1, 1, 4, 0, 4, 3, 3, 2, 4, 1, 2, 1, 4, 3, 2, 2, 1, 3, 0, 4, 3, 4, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 4, 3, 3, 2, 4, 4, 4, 4, 4, 0, 0, 4, 0, 3, 4, 1, 3, 1, 4, 1, 0, 0, 4, 3, 2, 0, 0, 2, 1, 3, 4, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 4, 0, 3, 3, 4, 4, 2, 1, 0, 2, 4, 0, 2, 1, 0, 4, 3, 1, 2, 3, 1, 2, 4, 3, 3, 2, 1, 1, 1, 0, 3, 1, 1, 0, 2, 3, 0, 1, 2, 1, 1, 3, 1, 0, 4, 0, 1, 1, 2, 2, 1, 3, 4, 1, 2, 3, 2, 3, 2, 2, 4, 2, 4, 0, 3, 4, 0, 0, 4, 2, 2, 3, 1, 0, 3, 2, 0, 1, 1, 2, 1, 4, 3, 1, 4, 1, 2, 4, 0, 2, 2, 2, 3, 4, 4, 0, 2, 0, 2, 4, 1, 1, 2, 2, 4, 0, 3, 2, 1, 0, 3, 2, 0, 1, 2, 3, 0, 3, 1, 3, 0, 0, 1, 2, 2, 4, 2, 0, 4, 0, 2, 2, 3, 2, 3, 2, 2, 1, 0, 3, 4, 3, 3, 0, 0, 0, 4, 4, 3, 2, 3, 3, 4, 4, 2, 4, 1, 0, 3, 3, 4, 2, 3, 4, 0, 3, 1, 3, 2, 0, 0, 3, 0, 4, 3, 2, 1, 3, 2, 4, 3, 3, 3, 4, 0, 3, 0, 4, 3, 4, 2, 1, 2, 1, 1, 0, 4, 0, 3, 4, 0, 2, 4, 1, 3, 4]
pubkeycol775 = [1, 0, 1, 2, 3, 4, 0, 3, 2, 2, 4, 3, 2, 4, 0, 2, 2, 3, 4, 0, 1, 0, 1, 3, 3, 3, 1, 0, 0, 4, 2, 3, 3, 1, 2, 0, 3, 1, 1, 4, 3, 3, 4, 1, 1, 2, 3, 1, 4, 2, 2, 0, 4, 0, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 3, 4, 4, 2, 3, 0, 0, 3, 4, 1, 0, 1, 3, 3, 1, 0, 1, 4, 4, 0, 3, 2, 2, 1, 0, 4, 4, 0, 4, 4, 0, 3, 0, 2, 1, 0, 4, 3, 0, 2, 2, 2, 0, 2, 2, 1, 3, 2, 2, 1, 3, 0, 3, 3, 0, 0, 3, 1, 3, 0, 3, 2, 4, 2, 4, 0, 1, 3, 3, 1, 1, 1, 0, 0, 4, 3, 3, 4, 2, 0, 3, 0, 3, 1, 0, 4, 1, 1, 2, 4, 3, 4, 1, 3, 4, 2, 2, 4, 1, 3, 0, 0, 2, 0, 4, 1, 0, 1, 1, 3, 0, 3, 4, 3, 0, 1, 0, 3, 0, 3, 2, 2, 3, 1, 2, 2, 0, 4, 2, 1, 3, 1, 2, 0, 4, 1, 2, 4, 0, 2, 0, 4, 2, 3, 3, 2, 3, 0, 3, 1, 0, 3, 0, 4, 3, 0, 2, 1, 4, 2, 4, 4, 0, 1, 1, 2, 3, 0, 3, 0, 0, 4, 0, 2, 1, 3, 3, 0, 1, 2, 1, 4, 0, 4, 3, 2, 3, 0, 2, 3, 1, 3, 4, 0, 0, 2, 1, 1, 2, 2, 1, 2, 3, 3, 4, 4, 0, 3, 0, 3, 4, 0, 1, 0, 1, 2, 3, 4, 0, 0, 2, 4, 4, 3, 3, 2, 2, 0, 3, 0, 4, 2, 0, 1, 2, 2, 4, 4, 0, 0, 2, 4, 2, 3, 2, 3, 4, 2, 4, 0, 1, 4, 3, 2, 0, 3, 3, 0, 0, 2, 0, 0, 0, 4, 1, 0, 3, 3, 0, 1, 0, 0, 1, 2, 2, 3, 4, 0, 1, 3, 0, 0, 1, 1, 0, 4, 4, 1, 3, 2, 3, 2, 3, 0, 0, 2, 3, 0, 2, 2, 1, 2, 1, 1, 3, 3, 4, 4, 0, 2, 0, 1, 1, 3, 4, 2, 4, 3, 2, 4, 0, 2, 3, 1, 2, 2, 2, 3, 3, 3, 1, 2, 4, 1, 3, 2]
pubkeycol776 = [3, 3, 3, 2, 1, 4, 0, 2, 4, 4, 4, 4, 0, 3, 4, 1, 3, 4, 3, 3, 3, 1, 2, 2, 0, 1, 2, 4, 1, 1, 2, 1, 2, 3, 1, 2, 3, 2, 2, 4, 2, 3, 2, 4, 0, 0, 1, 2, 1, 0, 3, 2, 2, 2, 1, 1, 1, 3, 0, 0, 4, 4, 1, 4, 2, 3, 1, 1, 1, 1, 3, 0, 2, 3, 3, 1, 0, 3, 4, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 3, 1, 3, 2, 0, 2, 0, 4, 2, 0, 2, 0, 2, 3, 1, 2, 1, 2, 0, 3, 3, 1, 0, 0, 4, 4, 0, 4, 1, 3, 1, 1, 0, 2, 0, 3, 0, 4, 0, 3, 0, 1, 3, 4, 0, 3, 3, 3, 4, 1, 2, 2, 3, 3, 3, 0, 1, 4, 3, 3, 0, 3, 0, 4, 3, 0, 2, 1, 3, 2, 0, 2, 1, 2, 3, 1, 2, 1, 3, 3, 2, 2, 4, 0, 1, 1, 3, 4, 3, 4, 3, 3, 0, 4, 0, 1, 3, 1, 1, 0, 2, 4, 2, 3, 0, 0, 2, 4, 4, 0, 2, 0, 3, 4, 3, 2, 3, 1, 0, 3, 4, 3, 1, 2, 4, 4, 3, 1, 4, 2, 1, 3, 4, 4, 1, 1, 2, 0, 0, 1, 3, 1, 3, 1, 0, 1, 0, 4, 2, 0, 1, 1, 4, 0, 4, 1, 2, 1, 4, 3, 4, 4, 1, 3, 3, 4, 1, 3, 0, 3, 3, 1, 3, 2, 4, 2, 3, 0, 3, 3, 1, 4, 0, 2, 2, 4, 4, 4, 3, 1, 1, 0, 4, 0, 4, 0, 3, 0, 3, 4, 0, 4, 1, 1, 0, 0, 2, 1, 4, 3, 4, 1, 0, 0, 2, 0, 0, 4, 1, 1, 2, 0, 2, 0, 2, 1, 3, 2, 3, 3, 2, 2, 0, 3, 4, 3, 2, 0, 0, 0, 4, 0, 4, 3, 1, 0, 4, 2, 1, 0, 1, 0, 4, 0, 1, 3, 1, 3, 3, 3, 4, 0, 3, 2, 4, 4, 4, 4, 2, 4, 0, 3, 0, 1, 0, 4, 4, 1, 1, 3, 2, 4, 3, 2, 4, 2, 2, 1, 4, 2, 3, 1, 3, 4, 2, 1, 3, 2, 2, 4, 3, 4, 4, 4, 1, 3, 0, 3, 2, 2, 2]
pubkeycol777 = [2, 4, 2, 3, 1, 3, 1, 3, 0, 3, 3, 1, 0, 0, 2, 1, 0, 0, 1, 4, 4, 1, 3, 0, 3, 2, 3, 3, 2, 3, 2, 0, 2, 2, 0, 3, 0, 4, 2, 0, 0, 3, 1, 0, 1, 1, 1, 4, 3, 4, 3, 3, 2, 4, 3, 4, 0, 1, 2, 4, 2, 3, 2, 2, 1, 0, 3, 1, 3, 4, 0, 2, 0, 1, 4, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 0, 1, 2, 2, 4, 3, 0, 1, 1, 0, 4, 3, 3, 2, 0, 3, 2, 1, 4, 3, 3, 1, 0, 3, 3, 0, 4, 2, 2, 3, 4, 0, 0, 2, 4, 2, 2, 0, 1, 1, 1, 3, 4, 3, 4, 1, 4, 1, 0, 0, 1, 4, 2, 3, 0, 2, 2, 1, 3, 1, 1, 0, 0, 3, 2, 1, 4, 2, 3, 0, 0, 1, 4, 3, 2, 3, 2, 0, 2, 3, 2, 3, 1, 3, 0, 2, 4, 1, 1, 2, 2, 3, 1, 2, 4, 3, 2, 4, 1, 2, 3, 4, 3, 3, 1, 1, 2, 2, 2, 3, 1, 0, 4, 1, 0, 3, 1, 0, 0, 0, 1, 2, 3, 0, 1, 1, 3, 2, 1, 4, 4, 1, 3, 4, 0, 4, 4, 0, 4, 0, 3, 0, 2, 0, 1, 1, 3, 1, 1, 3, 3, 1, 1, 2, 4, 2, 1, 1, 1, 0, 1, 1, 4, 3, 4, 0, 4, 1, 0, 1, 2, 2, 4, 4, 1, 3, 3, 0, 1, 0, 2, 0, 3, 4, 1, 0, 2, 1, 2, 1, 1, 4, 3, 1, 4, 4, 3, 4, 3, 0, 2, 2, 4, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 4, 2, 4, 2, 3, 1, 1, 4, 3, 3, 1, 0, 2, 2, 1, 3, 0, 1, 0, 4, 1, 0, 2, 4, 1, 4, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 4, 4, 1, 1, 2, 3, 3, 1, 3, 1, 1, 0, 2, 1, 3, 2, 0, 4, 0, 4, 2, 2, 4, 0, 2, 0, 1, 3, 0, 2, 2, 4, 4, 3, 2, 1, 3, 1, 1, 1, 2, 2, 4, 4, 1, 2, 3, 1, 1, 2, 1, 3, 4, 4, 4, 0, 2, 0, 1, 1, 2, 3, 4, 0, 2]
pubkeycol778 = [4, 0, 0, 3, 1, 1, 4, 4, 2, 3, 4, 1, 2, 1, 2, 4, 2, 0, 0, 2, 3, 1, 1, 3, 2, 2, 0, 0, 4, 0, 0, 2, 1, 1, 3, 1, 3, 4, 0, 2, 0, 0, 2, 0, 3, 4, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 3, 1, 2, 2, 0, 1, 1, 3, 3, 2, 0, 1, 0, 2, 2, 4, 4, 3, 3, 4, 4, 4, 1, 1, 4, 0, 3, 4, 0, 1, 4, 3, 1, 3, 2, 2, 2, 1, 4, 3, 3, 0, 0, 2, 3, 4, 0, 4, 0, 3, 0, 1, 2, 4, 0, 1, 1, 0, 3, 1, 4, 2, 3, 0, 2, 0, 3, 0, 2, 1, 1, 3, 4, 1, 2, 4, 2, 2, 2, 2, 2, 3, 0, 1, 0, 3, 1, 0, 0, 0, 0, 0, 2, 0, 0, 3, 1, 1, 2, 4, 3, 4, 4, 4, 0, 2, 2, 1, 4, 0, 3, 2, 1, 0, 1, 0, 1, 2, 0, 3, 2, 0, 0, 3, 0, 0, 1, 3, 4, 4, 3, 1, 4, 3, 4, 3, 2, 2, 1, 0, 1, 2, 3, 3, 1, 1, 0, 3, 2, 1, 3, 2, 2, 2, 3, 4, 4, 4, 3, 4, 4, 0, 2, 2, 0, 0, 3, 3, 2, 2, 3, 0, 2, 3, 2, 0, 4, 4, 4, 2, 2, 3, 2, 0, 0, 4, 0, 3, 3, 0, 4, 3, 3, 1, 1, 2, 4, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 3, 4, 2, 4, 0, 3, 4, 1, 2, 0, 2, 1, 4, 0, 1, 3, 0, 4, 0, 0, 1, 4, 4, 4, 0, 4, 1, 4, 1, 4, 0, 1, 3, 0, 0, 1, 3, 1, 2, 2, 3, 2, 0, 2, 2, 4, 0, 3, 0, 1, 0, 0, 4, 3, 3, 4, 2, 0, 3, 1, 1, 0, 1, 1, 4, 1, 3, 2, 4, 0, 4, 0, 0, 4, 0, 0, 2, 4, 4, 2, 0, 2, 1, 1, 2, 0, 4, 4, 4, 1, 2, 0, 0, 2, 4, 1, 2, 4, 0, 0, 1, 1, 0, 2, 3, 2, 1, 3, 1, 3, 2, 1, 1, 2, 1, 2, 4, 0, 3, 1, 4, 0, 4, 4, 2, 2, 4, 0, 0, 3, 4, 0, 4, 1, 2, 2, 2]
pubkeycol779 = [3, 2, 4, 4, 1, 4, 3, 1, 4, 2, 4, 4, 2, 3, 2, 0, 3, 0, 2, 2, 4, 2, 4, 3, 0, 4, 3, 0, 0, 0, 4, 4, 0, 0, 2, 4, 0, 2, 2, 4, 2, 1, 1, 1, 4, 3, 2, 0, 0, 3, 0, 1, 0, 3, 1, 0, 2, 1, 3, 3, 1, 4, 4, 1, 3, 0, 3, 4, 3, 3, 4, 0, 4, 2, 0, 1, 2, 2, 3, 1, 2, 4, 4, 1, 2, 2, 2, 3, 2, 2, 4, 1, 4, 4, 3, 2, 0, 1, 4, 4, 2, 0, 2, 2, 1, 1, 4, 4, 4, 0, 2, 4, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 3, 1, 4, 2, 0, 4, 3, 3, 4, 2, 0, 3, 4, 3, 0, 2, 0, 0, 2, 2, 4, 4, 3, 3, 4, 0, 1, 4, 3, 1, 0, 4, 0, 2, 1, 1, 3, 2, 4, 4, 1, 3, 1, 2, 0, 2, 0, 0, 4, 1, 4, 1, 4, 3, 3, 3, 0, 2, 3, 3, 2, 4, 3, 3, 2, 1, 1, 2, 0, 3, 2, 4, 2, 2, 1, 3, 1, 2, 4, 4, 4, 2, 3, 2, 1, 0, 0, 4, 2, 3, 3, 3, 1, 2, 2, 2, 2, 1, 1, 0, 3, 1, 4, 0, 4, 1, 2, 1, 4, 0, 4, 0, 4, 1, 4, 0, 3, 0, 0, 0, 0, 2, 0, 1, 1, 4, 4, 4, 3, 0, 2, 3, 4, 0, 4, 2, 3, 0, 4, 1, 2, 3, 2, 2, 1, 1, 1, 0, 3, 2, 4, 3, 2, 2, 0, 4, 2, 4, 1, 1, 1, 0, 3, 0, 3, 1, 1, 2, 4, 3, 4, 4, 1, 4, 2, 2, 4, 1, 0, 3, 3, 0, 1, 0, 2, 4, 4, 1, 2, 4, 2, 0, 0, 2, 2, 4, 1, 3, 1, 1, 1, 1, 4, 3, 1, 3, 1, 3, 3, 3, 0, 0, 1, 1, 4, 4, 3, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 0, 4, 4, 2, 4, 1, 2, 1, 2, 0, 3, 0, 2, 3, 0, 4, 4, 4, 1, 4, 0, 2, 1, 1, 4, 3, 2, 2, 3, 4, 0, 1, 4, 0, 3, 0, 4, 1, 2, 3, 1, 3, 2]
pubkeycol780 = [0, 0, 3, 0, 3, 0, 4, 1, 0, 0, 4, 2, 3, 4, 2, 4, 4, 3, 0, 4, 1, 0, 0, 1, 3, 1, 4, 2, 4, 4, 1, 3, 4, 3, 1, 0, 4, 0, 4, 3, 1, 1, 1, 2, 4, 1, 0, 3, 3, 1, 2, 1, 1, 2, 3, 4, 4, 2, 1, 2, 1, 2, 4, 4, 3, 4, 0, 4, 3, 1, 2, 0, 4, 2, 2, 3, 1, 2, 4, 4, 4, 2, 1, 3, 4, 3, 3, 4, 3, 3, 2, 4, 0, 3, 3, 3, 1, 4, 0, 1, 0, 3, 2, 3, 0, 3, 4, 0, 4, 3, 3, 2, 0, 4, 2, 3, 0, 4, 0, 4, 2, 4, 2, 1, 3, 2, 2, 2, 4, 1, 2, 4, 4, 3, 1, 4, 0, 0, 3, 3, 4, 2, 4, 3, 0, 1, 1, 2, 3, 4, 4, 2, 2, 2, 2, 3, 1, 4, 0, 4, 4, 2, 2, 3, 4, 1, 3, 4, 0, 3, 3, 3, 0, 1, 1, 3, 1, 3, 0, 0, 3, 3, 1, 3, 4, 0, 3, 0, 0, 0, 1, 3, 1, 0, 2, 2, 4, 4, 4, 1, 1, 0, 4, 0, 4, 2, 3, 1, 1, 2, 4, 2, 1, 2, 3, 4, 3, 1, 0, 2, 4, 0, 0, 4, 4, 2, 0, 1, 2, 0, 0, 3, 4, 4, 2, 3, 4, 3, 0, 4, 4, 3, 3, 0, 1, 2, 0, 3, 3, 2, 3, 3, 1, 0, 4, 2, 2, 0, 2, 1, 0, 4, 4, 3, 4, 2, 4, 1, 0, 1, 2, 0, 1, 4, 1, 0, 1, 1, 1, 3, 3, 1, 0, 4, 2, 0, 4, 4, 4, 2, 4, 0, 1, 3, 4, 3, 0, 2, 4, 3, 0, 2, 0, 1, 4, 4, 3, 0, 0, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 3, 3, 1, 3, 2, 2, 4, 3, 3, 4, 1, 4, 0, 2, 4, 1, 2, 1, 2, 0, 4, 1, 0, 4, 3, 2, 0, 4, 3, 3, 2, 1, 4, 0, 0, 2, 3, 4, 2, 2, 1, 3, 4, 4, 4, 1, 0, 2, 0, 0, 3, 4, 0, 4, 1, 0, 1, 4, 2, 1, 4, 2, 2, 3, 1, 0, 3, 4, 3, 3, 4, 0, 3, 1, 4, 2, 3, 3, 0, 3, 0]
pubkeycol781 = [3, 1, 2, 3, 3, 3, 3, 4, 4, 2, 1, 3, 0, 1, 1, 1, 2, 0, 2, 0, 4, 3, 2, 2, 0, 2, 4, 2, 3, 1, 0, 3, 1, 1, 0, 0, 3, 1, 2, 0, 0, 4, 1, 3, 2, 0, 3, 3, 0, 3, 4, 0, 2, 4, 2, 1, 1, 3, 3, 2, 0, 3, 2, 1, 3, 0, 0, 2, 0, 0, 2, 0, 1, 0, 4, 1, 1, 3, 2, 2, 0, 1, 1, 4, 3, 1, 2, 4, 1, 3, 0, 0, 1, 1, 1, 2, 0, 4, 2, 2, 3, 0, 4, 2, 4, 1, 1, 0, 1, 3, 4, 0, 2, 4, 1, 3, 4, 2, 0, 0, 3, 4, 0, 4, 0, 3, 1, 1, 3, 0, 3, 1, 0, 4, 3, 2, 4, 3, 4, 4, 3, 4, 4, 2, 4, 4, 2, 4, 2, 2, 0, 2, 3, 0, 0, 4, 2, 2, 4, 4, 3, 1, 1, 1, 3, 0, 3, 2, 3, 0, 4, 1, 1, 1, 1, 1, 0, 4, 0, 2, 2, 3, 1, 2, 0, 1, 4, 1, 3, 0, 4, 4, 0, 3, 1, 2, 3, 2, 4, 2, 3, 3, 1, 1, 1, 4, 3, 0, 3, 1, 0, 0, 2, 1, 1, 0, 1, 4, 0, 1, 1, 4, 3, 1, 3, 0, 3, 4, 3, 0, 3, 2, 2, 0, 2, 4, 2, 3, 2, 1, 0, 3, 1, 0, 1, 1, 2, 4, 1, 0, 4, 4, 4, 4, 3, 2, 3, 0, 4, 1, 3, 4, 4, 1, 0, 2, 1, 2, 0, 1, 4, 4, 1, 1, 2, 3, 0, 2, 2, 3, 2, 1, 2, 3, 1, 4, 1, 0, 0, 4, 1, 4, 1, 2, 3, 1, 2, 1, 3, 1, 2, 0, 4, 3, 2, 4, 0, 1, 2, 3, 0, 0, 2, 1, 0, 4, 2, 0, 3, 3, 1, 4, 1, 1, 3, 0, 2, 0, 0, 0, 3, 3, 2, 3, 0, 3, 1, 0, 1, 4, 4, 0, 0, 0, 4, 0, 3, 2, 1, 2, 1, 1, 1, 1, 0, 0, 4, 2, 1, 4, 4, 1, 0, 3, 3, 3, 4, 2, 2, 4, 2, 0, 3, 0, 1, 4, 1, 0, 0, 1, 4, 3, 3, 3, 1, 4, 3, 4, 4, 4, 0, 2, 4, 3, 2, 4, 0, 4, 3, 3]
pubkeycol782 = [1, 1, 2, 2, 3, 1, 0, 1, 4, 0, 0, 1, 1, 3, 3, 0, 0, 4, 2, 2, 4, 3, 0, 3, 1, 0, 3, 3, 3, 3, 2, 3, 1, 0, 0, 3, 0, 0, 4, 1, 3, 2, 4, 4, 4, 1, 1, 3, 0, 3, 3, 3, 0, 4, 1, 2, 4, 3, 4, 2, 4, 1, 0, 4, 2, 3, 3, 3, 3, 2, 3, 4, 0, 3, 0, 1, 4, 3, 4, 2, 1, 3, 0, 3, 1, 1, 2, 1, 2, 4, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 4, 4, 4, 0, 2, 2, 2, 1, 2, 4, 4, 1, 1, 4, 3, 1, 4, 3, 3, 4, 2, 2, 3, 2, 3, 0, 1, 1, 3, 0, 3, 2, 0, 1, 2, 0, 3, 3, 1, 0, 1, 4, 3, 4, 2, 0, 0, 2, 1, 0, 4, 2, 4, 4, 3, 3, 1, 0, 4, 2, 1, 2, 0, 2, 3, 4, 4, 2, 0, 4, 1, 3, 1, 0, 4, 3, 2, 4, 0, 2, 2, 0, 2, 1, 4, 2, 1, 0, 2, 4, 1, 2, 0, 1, 3, 3, 0, 3, 2, 0, 3, 4, 0, 3, 2, 4, 2, 2, 2, 1, 3, 3, 0, 3, 3, 2, 4, 2, 4, 3, 4, 4, 0, 4, 0, 2, 1, 4, 2, 3, 0, 3, 2, 0, 0, 4, 0, 0, 0, 4, 4, 1, 2, 4, 4, 0, 2, 1, 1, 1, 0, 4, 2, 1, 1, 1, 3, 3, 4, 1, 1, 4, 4, 1, 4, 0, 2, 2, 4, 2, 2, 1, 1, 0, 0, 1, 3, 0, 1, 4, 1, 3, 0, 3, 0, 1, 1, 3, 0, 1, 2, 0, 2, 3, 0, 2, 1, 0, 1, 4, 0, 0, 4, 0, 0, 2, 3, 1, 4, 2, 3, 4, 1, 2, 3, 0, 4, 2, 2, 3, 4, 2, 1, 3, 2, 3, 2, 3, 1, 4, 4, 3, 1, 4, 4, 2, 1, 4, 1, 3, 3, 1, 2, 1, 1, 2, 4, 4, 0, 2, 3, 0, 0, 0, 0, 2, 0, 2, 4, 1, 0, 1, 1, 0, 0, 3, 0, 4, 0, 3, 1, 4, 1, 1, 0, 1, 3, 4, 4, 0, 4, 1, 0, 0, 0, 3, 2, 4, 2, 2, 2, 1, 3, 0, 1, 3, 0, 2]
pubkeycol783 = [0, 2, 0, 4, 3, 4, 0, 0, 3, 1, 0, 1, 4, 1, 4, 3, 1, 4, 3, 4, 1, 2, 1, 0, 4, 3, 2, 1, 1, 1, 1, 4, 1, 3, 4, 4, 2, 1, 0, 3, 0, 3, 1, 2, 2, 4, 4, 1, 3, 3, 0, 2, 0, 3, 0, 2, 0, 2, 3, 3, 4, 1, 0, 1, 4, 2, 1, 2, 1, 4, 4, 4, 0, 4, 3, 0, 0, 2, 1, 4, 3, 2, 0, 0, 3, 4, 2, 4, 0, 1, 4, 1, 1, 4, 3, 2, 0, 0, 4, 1, 2, 0, 4, 4, 4, 4, 2, 2, 1, 4, 2, 1, 1, 4, 4, 3, 4, 3, 2, 4, 3, 4, 4, 4, 3, 2, 3, 2, 4, 2, 4, 0, 3, 4, 4, 1, 2, 0, 3, 4, 0, 3, 2, 3, 2, 4, 4, 1, 3, 0, 3, 2, 4, 2, 4, 2, 2, 4, 0, 0, 3, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 3, 0, 3, 3, 1, 3, 2, 0, 0, 0, 3, 2, 4, 0, 0, 0, 2, 1, 1, 4, 4, 4, 0, 4, 0, 4, 0, 2, 1, 1, 4, 3, 4, 0, 1, 1, 0, 3, 1, 1, 0, 1, 2, 3, 3, 3, 3, 4, 4, 2, 3, 4, 4, 0, 3, 0, 0, 1, 2, 3, 0, 0, 4, 3, 1, 0, 4, 1, 1, 0, 0, 2, 1, 3, 2, 1, 4, 0, 0, 1, 0, 4, 3, 2, 3, 0, 4, 1, 2, 4, 3, 3, 4, 0, 4, 1, 4, 2, 4, 2, 2, 1, 3, 1, 3, 1, 0, 2, 4, 1, 2, 1, 1, 0, 1, 4, 4, 1, 1, 0, 4, 1, 0, 1, 3, 4, 1, 4, 0, 0, 0, 4, 2, 3, 3, 0, 4, 3, 1, 2, 0, 2, 3, 4, 0, 3, 3, 3, 3, 1, 0, 4, 1, 1, 2, 3, 2, 2, 1, 1, 2, 3, 4, 0, 1, 4, 4, 4, 4, 2, 2, 3, 2, 0, 0, 4, 0, 1, 4, 0, 1, 3, 0, 0, 4, 0, 1, 4, 4, 0, 0, 3, 0, 0, 0, 0, 2, 0, 3, 2, 3, 0, 0, 4, 1, 3, 1, 4, 3, 2, 1, 0, 3, 3, 1, 3, 1, 3, 1, 1, 2, 0, 2, 3, 3, 0, 2, 2]
pubkeycol784 = [0, 1, 0, 4, 2, 2, 3, 1, 2, 4, 2, 1, 1, 3, 4, 0, 0, 1, 4, 2, 3, 1, 1, 4, 2, 2, 3, 2, 1, 2, 3, 1, 2, 4, 4, 2, 4, 1, 4, 4, 3, 1, 4, 3, 3, 2, 0, 4, 3, 3, 3, 2, 2, 0, 1, 4, 0, 3, 3, 3, 1, 1, 0, 0, 3, 3, 1, 3, 2, 2, 3, 1, 3, 3, 1, 0, 3, 4, 0, 0, 0, 2, 0, 2, 2, 2, 2, 4, 1, 0, 0, 0, 1, 2, 2, 2, 3, 4, 4, 4, 2, 4, 0, 2, 4, 1, 1, 1, 1, 4, 3, 2, 3, 1, 2, 0, 2, 2, 1, 4, 3, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 2, 4, 0, 3, 0, 1, 1, 3, 2, 0, 0, 0, 4, 3, 3, 0, 3, 1, 3, 2, 4, 2, 2, 3, 3, 3, 4, 0, 0, 4, 0, 3, 2, 1, 0, 2, 3, 3, 2, 3, 4, 0, 3, 4, 2, 1, 2, 3, 2, 1, 0, 1, 3, 2, 4, 1, 0, 0, 4, 3, 4, 4, 0, 1, 4, 1, 4, 3, 1, 0, 4, 4, 3, 0, 0, 4, 0, 2, 3, 0, 4, 3, 0, 4, 4, 1, 3, 4, 0, 3, 2, 3, 3, 0, 2, 1, 0, 4, 1, 4, 0, 4, 4, 4, 2, 1, 4, 4, 2, 4, 0, 4, 2, 3, 1, 2, 3, 3, 3, 3, 4, 1, 0, 0, 3, 0, 4, 2, 3, 4, 2, 2, 0, 0, 3, 3, 2, 0, 3, 4, 2, 4, 3, 4, 4, 1, 2, 0, 2, 2, 0, 0, 1, 4, 1, 3, 0, 4, 2, 2, 3, 0, 2, 0, 2, 1, 3, 0, 0, 3, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 3, 1, 3, 3, 0, 0, 3, 3, 4, 4, 1, 3, 1, 2, 3, 1, 1, 4, 3, 0, 2, 4, 4, 3, 4, 3, 3, 0, 0, 0, 3, 1, 0, 1, 3, 4, 3, 3, 0, 1, 3, 3, 3, 3, 2, 0, 3, 3, 0, 1, 2, 3, 3, 0, 2, 2, 4, 2, 3, 2, 0, 4, 3, 2, 0, 0, 1, 2, 2, 1, 2, 0, 3, 1, 3, 4, 4, 0, 3, 0, 2, 0, 2, 1, 1, 0, 0, 4]
pubkeycol785 = [3, 1, 0, 4, 4, 4, 0, 3, 3, 4, 3, 4, 2, 1, 1, 1, 4, 2, 4, 3, 1, 4, 4, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 3, 4, 2, 1, 1, 4, 3, 4, 4, 1, 4, 2, 4, 4, 4, 2, 2, 0, 1, 0, 2, 4, 4, 1, 0, 1, 4, 4, 4, 3, 0, 3, 3, 1, 0, 3, 2, 3, 2, 2, 0, 1, 3, 3, 3, 0, 1, 2, 2, 4, 3, 1, 4, 4, 0, 2, 0, 2, 1, 1, 3, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 3, 4, 2, 0, 3, 1, 0, 2, 2, 3, 3, 2, 3, 1, 0, 4, 4, 2, 0, 3, 1, 3, 0, 3, 1, 3, 0, 2, 2, 4, 0, 2, 1, 3, 0, 4, 3, 1, 3, 3, 0, 4, 4, 1, 3, 1, 0, 4, 0, 3, 4, 3, 4, 3, 3, 4, 2, 1, 1, 3, 4, 3, 4, 2, 3, 2, 2, 2, 4, 1, 4, 0, 0, 3, 2, 0, 1, 3, 4, 0, 4, 1, 0, 0, 0, 0, 4, 0, 3, 3, 0, 4, 1, 1, 2, 3, 3, 0, 4, 3, 4, 0, 0, 0, 1, 3, 2, 4, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 4, 2, 3, 2, 3, 3, 2, 1, 3, 2, 4, 3, 0, 4, 3, 2, 0, 0, 4, 2, 3, 3, 2, 3, 4, 4, 3, 0, 3, 0, 1, 4, 1, 4, 3, 0, 2, 3, 2, 3, 1, 3, 2, 3, 1, 0, 0, 4, 2, 3, 0, 4, 0, 3, 3, 4, 0, 3, 0, 0, 4, 2, 1, 1, 1, 3, 0, 1, 2, 3, 0, 2, 1, 4, 2, 0, 1, 1, 3, 4, 2, 0, 2, 1, 1, 2, 3, 2, 0, 1, 0, 4, 3, 2, 0, 4, 3, 2, 0, 4, 4, 0, 4, 1, 0, 0, 4, 1, 1, 3, 3, 2, 1, 4, 1, 0, 0, 3, 3, 3, 2, 3, 2, 3, 3, 3, 1, 0, 2, 4, 4, 0, 4, 1, 4, 2, 2, 3, 2, 1, 2, 2, 4, 1, 3, 3, 3, 4, 4, 1, 0, 3, 1, 1, 3, 0, 0, 3, 1, 3, 1, 0, 3, 3, 4, 1, 0, 3, 1, 0, 2, 0, 4]
pubkeycol786 = [4, 3, 3, 4, 3, 2, 2, 4, 0, 4, 0, 4, 4, 4, 3, 2, 4, 0, 0, 3, 3, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 3, 4, 1, 0, 2, 2, 3, 3, 1, 1, 0, 1, 1, 1, 3, 0, 0, 2, 4, 1, 0, 4, 0, 0, 1, 3, 4, 4, 4, 3, 1, 1, 3, 0, 3, 3, 0, 0, 3, 4, 0, 1, 4, 0, 1, 4, 3, 4, 1, 4, 2, 3, 2, 3, 2, 4, 2, 1, 3, 3, 3, 2, 1, 4, 0, 2, 0, 2, 0, 1, 2, 3, 0, 1, 4, 3, 3, 2, 3, 2, 3, 0, 1, 1, 0, 3, 4, 4, 1, 3, 1, 2, 2, 1, 1, 4, 3, 1, 2, 0, 3, 0, 4, 0, 1, 2, 3, 1, 3, 1, 1, 4, 3, 1, 2, 2, 3, 4, 3, 0, 2, 2, 0, 2, 2, 3, 4, 1, 4, 0, 3, 2, 4, 3, 2, 1, 4, 2, 1, 3, 3, 3, 4, 2, 4, 1, 4, 3, 1, 0, 1, 0, 3, 3, 1, 4, 1, 2, 3, 1, 3, 3, 1, 2, 1, 3, 4, 4, 1, 2, 4, 3, 3, 0, 3, 2, 0, 4, 2, 3, 4, 2, 2, 2, 1, 2, 0, 1, 4, 3, 4, 3, 4, 4, 2, 1, 0, 2, 4, 0, 2, 3, 4, 2, 2, 1, 2, 2, 3, 2, 3, 4, 3, 1, 0, 0, 0, 3, 4, 2, 1, 0, 0, 4, 4, 2, 3, 2, 4, 1, 3, 0, 2, 0, 2, 1, 3, 0, 1, 0, 1, 1, 3, 1, 0, 1, 0, 2, 2, 0, 2, 3, 2, 0, 2, 2, 4, 4, 4, 4, 2, 4, 1, 3, 3, 0, 3, 4, 3, 0, 0, 4, 3, 3, 0, 3, 0, 4, 2, 2, 4, 3, 0, 4, 3, 0, 4, 2, 1, 4, 3, 0, 2, 2, 3, 0, 1, 0, 3, 0, 0, 3, 2, 0, 4, 4, 4, 0, 4, 0, 2, 0, 4, 3, 0, 3, 3, 0, 2, 2, 4, 2, 4, 3, 4, 3, 4, 4, 3, 4, 2, 2, 0, 0, 3, 0, 4, 1, 4, 2, 2, 4, 2, 1, 1, 1, 4, 3, 0, 2, 2, 4, 0, 3, 1, 2, 0, 2, 4, 4, 4, 3, 2, 4, 3, 4, 0, 1, 0]
pubkeycol787 = [0, 0, 4, 0, 4, 2, 3, 2, 4, 1, 2, 1, 2, 0, 2, 4, 2, 1, 4, 2, 1, 3, 1, 0, 4, 0, 4, 4, 0, 3, 1, 0, 0, 4, 0, 2, 3, 3, 3, 1, 3, 1, 0, 4, 0, 0, 1, 4, 4, 2, 3, 1, 1, 0, 1, 3, 0, 0, 4, 2, 4, 2, 1, 4, 1, 2, 0, 0, 1, 2, 4, 3, 2, 4, 4, 2, 4, 1, 3, 1, 1, 2, 1, 1, 3, 2, 0, 4, 0, 3, 2, 0, 2, 3, 3, 4, 1, 2, 3, 0, 1, 0, 2, 4, 4, 4, 4, 0, 2, 4, 2, 0, 4, 4, 0, 0, 4, 2, 2, 4, 2, 0, 4, 3, 2, 4, 1, 4, 2, 4, 0, 3, 4, 4, 0, 0, 3, 3, 1, 4, 4, 1, 0, 1, 2, 0, 3, 3, 1, 1, 0, 1, 4, 1, 1, 3, 2, 4, 1, 0, 3, 1, 1, 3, 2, 4, 3, 3, 3, 4, 4, 0, 0, 2, 1, 1, 0, 4, 3, 0, 0, 0, 2, 2, 2, 4, 4, 0, 0, 0, 1, 4, 3, 4, 4, 1, 1, 2, 4, 2, 2, 2, 1, 4, 1, 3, 1, 0, 0, 2, 4, 3, 2, 1, 4, 0, 1, 3, 3, 2, 2, 4, 3, 1, 0, 1, 1, 4, 2, 4, 1, 2, 0, 0, 0, 4, 3, 4, 1, 4, 2, 1, 3, 0, 3, 1, 1, 0, 4, 2, 3, 2, 4, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 4, 1, 2, 3, 1, 2, 0, 3, 1, 4, 2, 0, 3, 1, 1, 0, 1, 3, 3, 0, 0, 1, 3, 4, 0, 2, 3, 3, 3, 4, 1, 0, 0, 2, 4, 3, 1, 3, 3, 2, 2, 4, 1, 0, 2, 2, 4, 2, 1, 2, 0, 1, 3, 0, 2, 0, 4, 2, 0, 0, 1, 1, 0, 2, 1, 3, 4, 2, 4, 3, 2, 2, 2, 3, 3, 4, 0, 2, 1, 3, 0, 1, 2, 4, 4, 4, 0, 2, 4, 1, 3, 1, 2, 0, 0, 4, 1, 1, 1, 3, 3, 4, 4, 1, 2, 2, 2, 4, 2, 2, 4, 0, 0, 2, 1, 0, 2, 1, 3, 0, 2, 0, 0, 4, 4, 1, 2, 1, 0, 4, 3, 3, 2, 4, 4]
pubkeycol788 = [2, 1, 1, 2, 4, 3, 3, 3, 0, 3, 2, 1, 4, 0, 0, 0, 4, 3, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 3, 4, 3, 3, 3, 1, 0, 4, 3, 1, 0, 0, 3, 3, 0, 0, 4, 1, 4, 3, 2, 4, 2, 2, 1, 0, 0, 4, 0, 2, 0, 1, 1, 3, 2, 4, 1, 4, 2, 1, 4, 2, 4, 4, 2, 4, 3, 4, 1, 4, 3, 0, 2, 2, 0, 3, 4, 2, 4, 2, 2, 2, 1, 3, 3, 1, 3, 3, 0, 2, 3, 4, 3, 0, 4, 4, 2, 1, 3, 2, 3, 0, 4, 2, 2, 4, 0, 1, 1, 3, 1, 1, 2, 4, 4, 1, 1, 1, 0, 3, 0, 2, 2, 3, 1, 2, 2, 4, 0, 4, 3, 4, 1, 2, 1, 1, 1, 2, 4, 1, 4, 1, 1, 2, 4, 1, 0, 3, 1, 3, 1, 4, 1, 0, 4, 0, 1, 4, 2, 3, 2, 2, 0, 3, 3, 2, 1, 4, 2, 0, 3, 4, 3, 3, 0, 3, 0, 3, 1, 1, 0, 0, 1, 2, 1, 1, 1, 4, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 4, 0, 4, 1, 3, 0, 4, 3, 0, 0, 2, 3, 1, 4, 3, 0, 4, 2, 3, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 3, 4, 2, 3, 1, 2, 3, 0, 1, 2, 3, 3, 4, 2, 2, 2, 3, 3, 0, 3, 0, 3, 4, 1, 1, 1, 4, 3, 3, 4, 4, 2, 4, 3, 3, 2, 1, 3, 1, 0, 4, 2, 0, 3, 4, 0, 2, 3, 3, 1, 1, 2, 2, 0, 0, 4, 1, 2, 1, 0, 3, 0, 0, 2, 4, 0, 3, 0, 2, 4, 0, 2, 3, 4, 4, 2, 3, 4, 4, 4, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 3, 0, 3, 2, 1, 0, 2, 0, 4, 2, 4, 1, 4, 0, 0, 0, 1, 3, 1, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 4, 4, 1, 4, 4, 0, 3, 2, 3, 2, 3, 0, 2, 0, 3, 2, 4, 1, 4, 1, 0, 2, 3, 0, 0, 4, 2, 3, 4, 0, 1, 0, 1, 4, 1, 4, 2, 3, 0]
pubkeycol789 = [1, 3, 4, 2, 0, 0, 4, 1, 2, 2, 4, 0, 1, 4, 2, 3, 4, 0, 4, 3, 0, 4, 4, 3, 0, 0, 4, 3, 2, 0, 0, 0, 3, 1, 1, 2, 1, 4, 3, 2, 4, 4, 4, 1, 2, 1, 0, 3, 3, 4, 4, 3, 0, 2, 1, 3, 3, 3, 2, 4, 3, 3, 3, 3, 2, 2, 4, 3, 0, 2, 3, 3, 3, 0, 3, 3, 0, 4, 4, 3, 4, 0, 0, 4, 0, 0, 2, 0, 3, 2, 1, 0, 1, 2, 3, 3, 0, 4, 1, 3, 3, 4, 1, 3, 0, 4, 3, 3, 0, 1, 4, 0, 2, 0, 4, 2, 3, 0, 1, 3, 2, 1, 2, 2, 1, 3, 1, 4, 0, 0, 1, 4, 2, 1, 0, 4, 2, 2, 4, 3, 2, 2, 3, 0, 4, 0, 1, 0, 2, 0, 2, 0, 3, 0, 0, 4, 3, 1, 2, 2, 2, 3, 3, 2, 1, 2, 4, 1, 0, 3, 4, 4, 2, 4, 1, 3, 4, 2, 3, 3, 1, 2, 3, 0, 4, 2, 1, 2, 4, 4, 4, 2, 1, 4, 1, 3, 0, 1, 3, 3, 3, 1, 3, 0, 3, 2, 4, 0, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 2, 4, 4, 1, 3, 4, 3, 2, 0, 2, 0, 3, 4, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 4, 1, 0, 4, 2, 0, 0, 2, 1, 0, 0, 2, 2, 4, 4, 3, 4, 2, 0, 2, 4, 2, 1, 2, 2, 1, 2, 0, 3, 0, 1, 0, 2, 3, 2, 4, 4, 2, 3, 0, 0, 4, 1, 1, 1, 3, 3, 4, 4, 4, 1, 3, 4, 2, 2, 4, 4, 4, 4, 4, 3, 3, 0, 4, 0, 2, 3, 1, 0, 0, 3, 2, 4, 1, 1, 4, 2, 0, 1, 0, 2, 0, 3, 2, 1, 3, 1, 4, 0, 1, 1, 2, 3, 3, 0, 0, 1, 4, 3, 4, 0, 1, 3, 3, 3, 4, 1, 4, 2, 2, 0, 2, 3, 0, 1, 4, 1, 2, 4, 3, 3, 4, 2, 1, 2, 2, 1, 2, 3, 4, 0, 4, 4, 4, 0, 3, 0, 1, 3, 0, 1, 4, 4, 4, 4, 2, 4, 4, 4, 0, 4, 3, 4, 4, 2, 2, 1]
pubkeycol790 = [4, 3, 4, 2, 1, 1, 4, 3, 2, 1, 1, 1, 0, 2, 3, 2, 4, 2, 0, 0, 3, 1, 0, 0, 4, 1, 1, 4, 1, 2, 2, 0, 3, 3, 1, 2, 3, 2, 4, 3, 1, 3, 2, 3, 3, 3, 1, 0, 0, 1, 3, 2, 4, 2, 2, 1, 0, 4, 3, 3, 1, 0, 2, 4, 2, 1, 4, 3, 3, 1, 4, 4, 2, 4, 1, 1, 3, 3, 4, 1, 2, 1, 0, 4, 1, 4, 0, 1, 4, 4, 3, 2, 1, 2, 0, 3, 4, 3, 3, 3, 0, 2, 1, 2, 2, 0, 3, 2, 1, 3, 2, 2, 1, 2, 0, 1, 4, 3, 1, 0, 2, 3, 2, 0, 3, 2, 0, 4, 2, 0, 4, 1, 1, 0, 0, 4, 0, 3, 3, 3, 1, 3, 1, 3, 3, 2, 4, 1, 0, 4, 1, 2, 2, 2, 3, 4, 3, 0, 0, 2, 2, 3, 1, 3, 1, 4, 4, 1, 2, 3, 0, 4, 2, 0, 2, 1, 3, 4, 1, 4, 2, 3, 2, 4, 1, 2, 4, 2, 3, 2, 3, 0, 4, 3, 1, 0, 2, 2, 3, 1, 2, 4, 3, 3, 0, 0, 0, 0, 0, 1, 3, 2, 1, 4, 0, 3, 1, 0, 0, 2, 2, 3, 0, 3, 3, 4, 3, 0, 0, 0, 2, 1, 3, 0, 1, 4, 4, 4, 4, 0, 0, 3, 1, 0, 1, 1, 0, 1, 0, 1, 4, 4, 3, 4, 1, 3, 0, 4, 0, 1, 1, 2, 0, 1, 3, 2, 3, 1, 1, 0, 3, 4, 0, 4, 0, 0, 3, 2, 1, 2, 2, 0, 3, 4, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 4, 4, 0, 1, 0, 4, 3, 0, 1, 2, 4, 4, 2, 3, 2, 1, 1, 0, 2, 3, 2, 1, 3, 1, 2, 0, 2, 0, 0, 3, 4, 0, 2, 3, 0, 1, 0, 3, 3, 2, 2, 0, 3, 2, 3, 4, 0, 3, 3, 3, 2, 2, 3, 3, 4, 2, 3, 0, 1, 3, 2, 0, 2, 2, 2, 4, 1, 0, 3, 4, 4, 1, 4, 3, 3, 3, 0, 3, 3, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 3, 0, 0, 1, 4, 3, 2, 2, 1, 2, 2, 3, 4, 4]
pubkeycol791 = [4, 1, 0, 4, 4, 4, 3, 4, 2, 1, 0, 3, 2, 3, 0, 3, 1, 3, 2, 4, 1, 3, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 2, 2, 1, 1, 4, 3, 3, 1, 2, 1, 4, 1, 2, 2, 0, 4, 4, 4, 2, 0, 1, 0, 3, 4, 0, 4, 4, 3, 3, 0, 4, 2, 3, 3, 3, 0, 0, 4, 4, 0, 2, 0, 3, 2, 3, 2, 0, 2, 0, 3, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 4, 0, 1, 1, 3, 4, 2, 0, 4, 2, 1, 3, 4, 4, 2, 2, 3, 1, 0, 0, 4, 1, 3, 4, 4, 3, 1, 3, 4, 0, 4, 0, 3, 0, 3, 4, 4, 4, 4, 0, 2, 0, 1, 0, 3, 0, 4, 0, 4, 3, 2, 0, 3, 3, 4, 3, 0, 1, 2, 1, 0, 2, 3, 3, 4, 2, 0, 2, 0, 4, 3, 2, 4, 2, 0, 3, 4, 0, 3, 2, 4, 4, 3, 2, 3, 1, 3, 2, 2, 3, 4, 1, 1, 1, 3, 0, 4, 0, 4, 2, 3, 3, 4, 3, 2, 2, 4, 1, 2, 0, 3, 2, 3, 0, 3, 3, 2, 3, 1, 1, 4, 3, 3, 2, 4, 2, 1, 3, 2, 0, 1, 3, 3, 1, 3, 4, 2, 4, 0, 1, 0, 0, 2, 2, 3, 4, 4, 3, 2, 1, 2, 2, 1, 2, 4, 0, 4, 1, 3, 3, 3, 2, 1, 0, 4, 1, 2, 3, 4, 1, 2, 4, 1, 4, 4, 3, 0, 3, 3, 2, 2, 1, 1, 3, 2, 1, 4, 2, 0, 2, 2, 2, 4, 4, 3, 3, 4, 4, 1, 0, 0, 4, 4, 4, 0, 4, 1, 4, 4, 1, 2, 1, 3, 0, 0, 1, 0, 3, 1, 0, 4, 2, 0, 0, 2, 3, 2, 3, 1, 4, 0, 1, 1, 3, 2, 2, 0, 2, 1, 4, 2, 4, 0, 4, 1, 0, 1, 1, 4, 0, 0, 4, 1, 4, 1, 1, 4, 3, 0, 4, 1, 4, 2, 3, 0, 3, 3, 1, 3, 4, 1, 2, 1, 3, 1, 4, 3, 2, 4, 0, 4, 1, 3, 3, 3, 0, 1, 2, 1, 4, 3, 4, 3, 2, 4, 3, 3, 4, 0, 3, 1, 2, 0, 4, 3, 3, 2, 3]
pubkeycol792 = [3, 0, 0, 1, 3, 2, 0, 4, 1, 2, 4, 2, 4, 0, 1, 2, 3, 4, 1, 2, 1, 1, 1, 3, 0, 3, 4, 1, 0, 3, 2, 4, 1, 2, 2, 1, 0, 2, 3, 0, 4, 1, 3, 4, 4, 2, 4, 0, 0, 3, 4, 2, 1, 4, 2, 4, 2, 2, 0, 4, 0, 1, 0, 4, 2, 0, 4, 3, 4, 0, 0, 1, 4, 2, 0, 3, 1, 3, 4, 2, 1, 3, 1, 2, 1, 2, 4, 2, 0, 0, 1, 0, 1, 1, 3, 2, 0, 4, 1, 2, 2, 3, 0, 3, 1, 3, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 4, 3, 0, 3, 2, 2, 2, 0, 2, 3, 2, 2, 3, 0, 2, 1, 0, 2, 2, 1, 4, 2, 4, 3, 0, 4, 1, 3, 0, 4, 2, 3, 3, 0, 0, 0, 3, 1, 0, 4, 1, 2, 0, 1, 4, 2, 4, 2, 1, 0, 0, 1, 3, 2, 3, 2, 1, 2, 2, 4, 4, 0, 1, 1, 3, 0, 4, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 3, 4, 2, 0, 0, 1, 2, 0, 3, 1, 0, 2, 4, 4, 4, 3, 3, 0, 3, 0, 2, 2, 1, 2, 1, 2, 2, 2, 4, 0, 0, 2, 4, 1, 0, 4, 3, 2, 4, 0, 2, 3, 4, 1, 4, 0, 4, 0, 4, 3, 4, 0, 0, 2, 3, 0, 2, 1, 3, 0, 3, 3, 1, 4, 2, 4, 3, 2, 0, 4, 4, 2, 0, 2, 4, 3, 4, 2, 2, 3, 0, 4, 2, 3, 1, 1, 3, 1, 3, 0, 2, 2, 3, 3, 4, 4, 2, 4, 1, 0, 4, 0, 2, 3, 3, 4, 1, 4, 1, 3, 2, 2, 3, 0, 2, 4, 2, 3, 1, 2, 1, 2, 4, 3, 3, 3, 1, 1, 2, 2, 4, 1, 0, 0, 0, 1, 4, 4, 3, 0, 2, 3, 4, 3, 1, 2, 4, 3, 1, 1, 1, 1, 4, 1, 3, 3, 3, 2, 1, 2, 4, 1, 4, 3, 1, 3, 3, 3, 2, 1, 4, 3, 4, 0, 2, 4, 2, 0, 1, 0, 3, 4, 2, 1, 3, 1, 2, 4, 0, 0, 3, 2, 2, 2, 4, 2, 3, 2, 1, 1, 2, 3, 0, 2]
pubkeycol793 = [3, 1, 1, 0, 0, 3, 3, 0, 0, 3, 2, 0, 1, 0, 1, 3, 3, 0, 1, 0, 1, 2, 2, 4, 4, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 4, 2, 4, 1, 3, 1, 4, 4, 4, 4, 1, 3, 2, 0, 4, 0, 3, 0, 1, 2, 0, 3, 3, 2, 4, 0, 0, 1, 0, 2, 4, 4, 4, 4, 2, 4, 1, 0, 2, 3, 0, 3, 1, 0, 2, 0, 0, 3, 0, 3, 1, 4, 0, 0, 0, 4, 4, 1, 3, 4, 2, 1, 1, 1, 2, 4, 0, 3, 2, 3, 2, 0, 1, 3, 2, 0, 2, 2, 0, 0, 4, 2, 1, 4, 1, 3, 0, 1, 4, 2, 4, 4, 4, 1, 0, 1, 0, 2, 4, 1, 4, 0, 4, 2, 4, 1, 3, 2, 1, 4, 2, 4, 0, 2, 0, 1, 2, 1, 4, 4, 1, 0, 2, 0, 3, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 2, 4, 3, 3, 4, 1, 1, 1, 2, 0, 3, 2, 3, 0, 2, 1, 3, 4, 4, 0, 0, 1, 0, 0, 3, 3, 4, 4, 1, 2, 3, 0, 1, 4, 4, 3, 4, 3, 3, 0, 1, 3, 4, 1, 3, 2, 2, 4, 0, 0, 4, 0, 3, 4, 4, 1, 2, 2, 1, 3, 1, 1, 4, 1, 4, 3, 4, 2, 4, 2, 2, 1, 2, 1, 0, 1, 4, 3, 2, 4, 4, 4, 3, 3, 0, 3, 1, 2, 1, 3, 3, 0, 1, 3, 2, 4, 3, 3, 1, 0, 0, 0, 3, 4, 2, 4, 1, 2, 0, 3, 4, 2, 0, 2, 3, 1, 2, 2, 4, 0, 2, 4, 1, 2, 0, 0, 0, 2, 3, 3, 3, 0, 1, 1, 0, 1, 4, 0, 3, 3, 2, 4, 0, 4, 0, 1, 3, 2, 4, 0, 4, 3, 0, 0, 3, 0, 0, 3, 1, 0, 4, 3, 0, 3, 1, 2, 4, 1, 2, 0, 2, 2, 3, 3, 4, 2, 4, 0, 2, 2, 0, 0, 3, 4, 2, 2, 4, 1, 4, 1, 2, 2, 1, 0, 1, 4, 3, 2, 2, 1, 4, 2, 0, 2, 2, 2, 1, 1, 3, 3, 0, 3, 0, 2, 1, 4, 3, 1, 4, 2, 3, 3, 0, 1, 4, 2, 3, 1, 2]
pubkeycol794 = [3, 4, 4, 2, 3, 0, 2, 0, 3, 2, 3, 0, 2, 3, 2, 1, 0, 4, 4, 1, 1, 3, 4, 4, 0, 2, 1, 3, 1, 0, 4, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 4, 1, 2, 3, 2, 4, 3, 3, 0, 1, 2, 2, 2, 3, 0, 3, 0, 3, 4, 0, 3, 0, 4, 3, 1, 3, 1, 1, 1, 2, 1, 0, 2, 0, 4, 1, 3, 3, 2, 4, 0, 4, 2, 4, 4, 2, 0, 2, 4, 1, 2, 3, 3, 4, 3, 3, 0, 2, 1, 3, 2, 4, 0, 1, 4, 4, 4, 0, 3, 3, 3, 3, 1, 4, 0, 1, 3, 1, 3, 2, 4, 3, 3, 4, 0, 4, 1, 1, 1, 2, 0, 3, 1, 3, 4, 1, 4, 1, 3, 2, 1, 3, 4, 3, 2, 0, 0, 4, 2, 4, 0, 1, 4, 2, 1, 2, 4, 3, 3, 1, 4, 0, 4, 3, 2, 2, 3, 4, 1, 4, 2, 1, 3, 1, 3, 1, 1, 2, 2, 0, 2, 4, 3, 1, 0, 0, 3, 4, 1, 4, 4, 0, 0, 1, 4, 1, 2, 1, 1, 3, 2, 1, 1, 3, 2, 0, 4, 3, 4, 0, 4, 4, 4, 2, 0, 3, 3, 1, 2, 4, 0, 2, 4, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 3, 3, 3, 0, 4, 2, 3, 0, 0, 3, 1, 1, 2, 1, 0, 3, 1, 2, 0, 3, 1, 2, 3, 1, 3, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 3, 2, 2, 0, 4, 1, 3, 2, 4, 4, 4, 2, 1, 3, 1, 1, 4, 2, 1, 2, 0, 1, 0, 0, 4, 2, 4, 4, 2, 2, 1, 1, 3, 3, 1, 1, 0, 1, 0, 4, 3, 3, 2, 0, 2, 1, 0, 4, 3, 1, 0, 1, 3, 2, 2, 1, 2, 4, 3, 2, 0, 3, 2, 3, 0, 2, 4, 0, 4, 0, 3, 1, 0, 0, 4, 0, 3, 2, 1, 3, 4, 1, 1, 0, 0, 0, 3, 1, 3, 3, 0, 2, 3, 0, 3, 3, 0, 0, 2, 0, 0, 0, 4, 3, 1, 3, 3, 3, 0, 3, 0, 2, 4, 3, 3, 3, 0, 3, 0, 1, 1, 2, 4, 3, 4, 4, 3, 0, 1, 2]
pubkeycol795 = [2, 2, 0, 2, 0, 1, 3, 1, 0, 4, 3, 3, 3, 4, 1, 2, 1, 0, 4, 1, 4, 2, 1, 1, 0, 4, 4, 2, 3, 3, 1, 0, 2, 4, 1, 1, 1, 2, 0, 4, 2, 3, 1, 0, 2, 2, 4, 4, 1, 0, 2, 0, 3, 0, 2, 0, 3, 3, 0, 2, 0, 0, 3, 3, 0, 0, 0, 3, 3, 4, 4, 1, 2, 1, 0, 1, 1, 3, 2, 4, 1, 0, 3, 1, 2, 0, 4, 3, 0, 2, 2, 3, 4, 3, 4, 3, 2, 1, 1, 2, 3, 0, 4, 0, 4, 3, 2, 2, 1, 3, 1, 4, 1, 0, 2, 3, 3, 2, 2, 1, 2, 1, 1, 1, 4, 4, 3, 2, 3, 2, 2, 3, 0, 3, 1, 4, 0, 1, 4, 0, 3, 1, 3, 4, 3, 1, 2, 4, 4, 4, 0, 0, 0, 2, 3, 2, 4, 0, 3, 2, 1, 3, 3, 3, 1, 4, 1, 3, 1, 3, 4, 4, 3, 1, 1, 0, 1, 1, 0, 1, 3, 1, 2, 0, 4, 0, 2, 2, 2, 1, 3, 1, 0, 0, 4, 1, 3, 4, 0, 4, 1, 3, 0, 3, 1, 4, 1, 2, 0, 2, 3, 4, 0, 4, 3, 0, 1, 2, 3, 4, 1, 3, 0, 3, 2, 0, 4, 1, 3, 0, 3, 1, 2, 4, 1, 4, 1, 1, 1, 4, 0, 3, 0, 3, 1, 0, 2, 2, 3, 1, 1, 3, 1, 4, 3, 2, 3, 1, 4, 4, 0, 1, 4, 3, 4, 0, 4, 4, 4, 4, 4, 2, 4, 1, 2, 4, 2, 1, 2, 0, 4, 0, 2, 3, 3, 1, 0, 3, 4, 4, 0, 0, 4, 0, 4, 1, 0, 1, 4, 3, 4, 3, 3, 0, 4, 1, 0, 3, 4, 0, 2, 4, 1, 4, 4, 0, 1, 3, 1, 4, 1, 0, 2, 3, 1, 3, 1, 0, 4, 3, 4, 2, 3, 2, 4, 1, 0, 0, 4, 0, 3, 4, 1, 4, 3, 3, 3, 4, 3, 2, 2, 0, 0, 3, 0, 2, 3, 3, 4, 3, 0, 4, 2, 4, 2, 1, 0, 2, 0, 2, 4, 0, 2, 2, 1, 1, 3, 2, 2, 0, 3, 0, 2, 3, 4, 3, 2, 4, 0, 1, 1, 3, 4, 4, 0, 4, 3, 2, 2, 2]
pubkeycol796 = [2, 4, 3, 3, 1, 3, 4, 2, 3, 2, 0, 4, 2, 3, 3, 4, 1, 4, 2, 4, 2, 0, 2, 0, 4, 3, 4, 0, 0, 1, 0, 0, 1, 4, 4, 4, 3, 4, 0, 2, 0, 4, 4, 3, 2, 2, 1, 4, 2, 4, 4, 3, 0, 4, 2, 2, 3, 1, 3, 0, 3, 4, 1, 0, 3, 2, 2, 3, 4, 2, 4, 0, 2, 2, 4, 3, 4, 3, 3, 2, 3, 4, 1, 4, 2, 2, 4, 2, 4, 1, 1, 0, 0, 0, 0, 2, 3, 4, 4, 0, 1, 0, 2, 1, 4, 0, 4, 4, 2, 1, 2, 3, 0, 3, 0, 4, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 3, 3, 3, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 3, 0, 2, 4, 1, 1, 0, 4, 0, 4, 1, 4, 4, 0, 0, 3, 0, 4, 3, 3, 3, 4, 3, 1, 3, 1, 2, 4, 0, 4, 2, 3, 3, 0, 1, 1, 4, 1, 3, 4, 0, 2, 4, 0, 3, 3, 4, 0, 0, 4, 4, 1, 4, 4, 3, 2, 2, 3, 2, 2, 4, 4, 3, 1, 3, 2, 4, 3, 0, 4, 2, 2, 1, 4, 0, 1, 3, 0, 4, 3, 0, 4, 2, 4, 3, 3, 3, 2, 2, 1, 4, 0, 3, 1, 0, 0, 3, 3, 4, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 4, 4, 2, 2, 1, 1, 4, 3, 2, 4, 4, 4, 0, 0, 0, 2, 0, 3, 1, 1, 3, 0, 2, 3, 2, 4, 4, 3, 0, 4, 3, 3, 0, 2, 0, 0, 4, 3, 0, 3, 3, 0, 2, 4, 3, 4, 0, 1, 1, 1, 3, 3, 0, 0, 3, 1, 2, 4, 2, 2, 4, 3, 0, 3, 1, 3, 3, 2, 3, 1, 3, 4, 3, 2, 0, 1, 0, 2, 3, 4, 4, 4, 3, 1, 3, 3, 1, 4, 3, 2, 4, 3, 0, 4, 3, 4, 2, 3, 0, 0, 1, 0, 2, 3, 1, 4, 0, 2, 4, 1, 3, 2, 0, 2, 3, 3, 0, 3, 2, 0, 2, 2, 1, 2, 3, 2, 0, 3, 0, 3, 3, 2, 3, 3, 4, 1, 1, 2, 4, 4, 0, 1, 2, 4, 0, 4, 3]
pubkeycol797 = [0, 2, 3, 1, 1, 3, 4, 1, 1, 3, 1, 1, 3, 3, 2, 3, 3, 1, 3, 1, 2, 0, 4, 2, 3, 4, 3, 2, 4, 0, 4, 4, 2, 0, 0, 2, 2, 0, 3, 0, 3, 1, 2, 0, 1, 0, 4, 0, 2, 1, 1, 2, 4, 1, 0, 1, 2, 4, 4, 0, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 0, 2, 2, 2, 4, 0, 1, 3, 3, 0, 4, 1, 1, 3, 3, 4, 3, 1, 4, 1, 3, 4, 4, 0, 0, 1, 0, 4, 3, 3, 4, 1, 2, 4, 2, 3, 3, 4, 4, 0, 1, 1, 2, 4, 4, 2, 3, 0, 1, 4, 4, 4, 3, 0, 2, 0, 2, 3, 4, 4, 3, 1, 1, 1, 4, 0, 1, 2, 4, 4, 1, 1, 2, 3, 0, 3, 1, 2, 4, 0, 4, 0, 1, 1, 4, 3, 0, 2, 2, 0, 2, 4, 4, 2, 4, 1, 3, 4, 0, 4, 2, 1, 2, 0, 2, 2, 2, 2, 4, 1, 2, 2, 4, 3, 4, 1, 2, 2, 3, 3, 0, 4, 3, 0, 2, 0, 3, 1, 4, 2, 3, 4, 2, 1, 3, 4, 1, 1, 2, 4, 3, 0, 0, 3, 1, 2, 4, 0, 2, 0, 4, 0, 2, 0, 0, 3, 0, 3, 0, 4, 3, 1, 4, 1, 1, 2, 0, 3, 2, 2, 1, 1, 4, 4, 4, 4, 0, 1, 0, 3, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 3, 0, 0, 4, 1, 4, 1, 4, 0, 0, 0, 2, 1, 3, 1, 4, 1, 1, 0, 0, 0, 1, 1, 2, 1, 4, 4, 4, 1, 3, 4, 3, 0, 0, 4, 1, 3, 4, 4, 4, 0, 1, 0, 0, 1, 2, 3, 1, 1, 2, 3, 0, 0, 0, 0, 2, 3, 2, 2, 3, 2, 1, 2, 3, 4, 4, 0, 1, 4, 1, 0, 3, 4, 3, 0, 0, 3, 2, 2, 1, 4, 4, 2, 0, 2, 1, 4, 1, 4, 4, 0, 0, 1, 1, 1, 3, 3, 1, 3, 0, 2, 1, 1, 3, 0, 0, 1, 0, 1, 1, 1, 4, 2, 0, 3, 2, 1, 2, 0, 0, 2, 2, 1, 3, 0, 2, 3, 0, 3, 0, 3, 4, 3, 4, 1]
pubkeycol798 = [1, 1, 0, 2, 3, 2, 1, 3, 4, 4, 3, 4, 4, 1, 2, 0, 0, 1, 3, 1, 0, 3, 4, 0, 1, 2, 0, 0, 1, 3, 3, 1, 3, 0, 3, 4, 2, 4, 0, 4, 3, 0, 0, 4, 4, 3, 0, 3, 2, 1, 0, 0, 4, 1, 1, 2, 0, 0, 3, 1, 4, 4, 0, 1, 1, 3, 3, 1, 1, 1, 0, 1, 4, 4, 1, 4, 3, 3, 2, 1, 1, 0, 3, 1, 1, 3, 4, 0, 3, 1, 1, 3, 1, 4, 3, 4, 3, 2, 4, 4, 4, 4, 1, 1, 3, 0, 1, 2, 0, 0, 3, 1, 4, 0, 4, 2, 4, 2, 3, 4, 2, 1, 1, 4, 2, 2, 0, 0, 3, 3, 3, 0, 2, 1, 3, 1, 0, 3, 2, 4, 1, 2, 3, 0, 0, 3, 3, 1, 4, 1, 1, 1, 0, 0, 1, 3, 4, 4, 2, 0, 0, 4, 4, 2, 3, 0, 2, 2, 1, 1, 0, 1, 4, 1, 0, 1, 2, 2, 1, 0, 1, 3, 1, 1, 0, 1, 4, 4, 3, 0, 0, 4, 2, 2, 3, 4, 2, 3, 3, 4, 0, 0, 3, 4, 0, 3, 4, 4, 2, 2, 3, 0, 4, 3, 1, 4, 1, 3, 2, 1, 2, 3, 2, 2, 1, 3, 0, 0, 4, 1, 4, 2, 3, 2, 2, 4, 1, 1, 3, 2, 1, 1, 1, 1, 0, 0, 2, 3, 4, 2, 4, 3, 1, 1, 1, 3, 2, 3, 0, 1, 4, 1, 1, 3, 3, 0, 1, 1, 2, 2, 1, 4, 4, 4, 0, 1, 1, 0, 3, 0, 3, 2, 0, 1, 0, 3, 2, 1, 4, 2, 0, 2, 1, 1, 0, 2, 4, 1, 2, 2, 0, 2, 1, 0, 1, 3, 4, 0, 1, 3, 2, 2, 3, 1, 1, 2, 3, 3, 4, 2, 0, 3, 0, 2, 1, 1, 3, 0, 2, 1, 4, 4, 4, 2, 2, 1, 3, 4, 0, 3, 4, 2, 1, 3, 2, 3, 2, 1, 0, 3, 4, 1, 2, 0, 3, 3, 2, 4, 1, 3, 0, 4, 1, 2, 1, 1, 0, 1, 3, 4, 4, 1, 4, 1, 0, 0, 2, 3, 2, 1, 4, 1, 3, 4, 3, 1, 4, 3, 0, 4, 0, 2, 4, 3, 0, 2, 2, 1, 2, 2]
pubkeycol799 = [4, 4, 1, 4, 2, 2, 0, 0, 2, 2, 1, 2, 4, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 3, 1, 3, 0, 2, 3, 3, 1, 2, 0, 4, 4, 4, 0, 0, 1, 3, 1, 3, 3, 2, 3, 0, 1, 3, 0, 3, 1, 4, 3, 0, 1, 4, 3, 2, 0, 3, 1, 3, 3, 3, 2, 1, 3, 3, 2, 0, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 1, 3, 1, 1, 3, 0, 3, 4, 1, 1, 4, 1, 3, 4, 0, 4, 2, 0, 3, 2, 4, 4, 1, 4, 4, 3, 4, 4, 4, 1, 3, 2, 4, 4, 3, 0, 2, 0, 0, 2, 0, 4, 4, 3, 0, 0, 3, 3, 0, 4, 3, 3, 1, 3, 0, 0, 4, 3, 2, 0, 4, 2, 2, 2, 3, 1, 4, 4, 1, 3, 1, 1, 0, 1, 3, 4, 0, 4, 0, 4, 0, 4, 3, 0, 0, 0, 1, 4, 0, 3, 2, 1, 4, 0, 3, 3, 0, 2, 1, 3, 1, 3, 4, 2, 1, 1, 4, 2, 0, 4, 3, 3, 0, 4, 4, 3, 3, 0, 0, 4, 0, 0, 4, 1, 3, 4, 0, 1, 4, 0, 4, 1, 4, 3, 2, 1, 1, 4, 3, 0, 1, 1, 2, 1, 0, 3, 3, 3, 2, 4, 2, 3, 3, 4, 3, 3, 2, 3, 1, 2, 1, 0, 4, 0, 4, 0, 4, 0, 0, 0, 3, 3, 1, 2, 0, 4, 4, 1, 0, 1, 3, 3, 3, 1, 0, 4, 4, 3, 3, 0, 1, 4, 3, 0, 3, 1, 4, 1, 3, 4, 3, 2, 3, 2, 2, 3, 4, 1, 1, 0, 0, 3, 1, 4, 0, 3, 0, 3, 1, 2, 1, 3, 1, 0, 2, 2, 0, 4, 3, 4, 2, 1, 1, 1, 3, 3, 2, 3, 3, 1, 3, 0, 1, 1, 0, 3, 2, 0, 4, 1, 4, 0, 0, 0, 2, 3, 2, 4, 0, 2, 1, 2, 4, 1, 2, 3, 4, 2, 1, 0, 2, 2, 0, 2, 0, 4, 2, 4, 1, 4, 2, 0, 2, 2, 3, 1, 0, 1, 0, 2, 3, 0, 3, 2, 3, 0, 0, 4, 4, 1, 3, 0, 1, 2, 4, 2, 1, 1, 4, 0, 3, 4, 2, 4]
pubkeycol800 = [2, 4, 4, 2, 2, 1, 2, 0, 2, 1, 0, 3, 2, 4, 3, 0, 3, 3, 0, 1, 2, 4, 0, 1, 3, 0, 4, 3, 2, 0, 2, 3, 1, 4, 4, 1, 1, 2, 1, 4, 1, 1, 2, 3, 1, 3, 2, 0, 3, 2, 0, 1, 2, 3, 0, 2, 0, 4, 4, 3, 0, 0, 2, 4, 4, 0, 1, 0, 4, 4, 3, 2, 4, 2, 3, 4, 4, 3, 3, 3, 2, 4, 0, 4, 4, 1, 0, 4, 1, 3, 3, 3, 2, 0, 3, 4, 0, 3, 3, 3, 0, 2, 3, 1, 3, 4, 4, 3, 2, 3, 0, 3, 3, 0, 2, 1, 3, 1, 0, 4, 4, 2, 2, 4, 0, 0, 3, 4, 0, 0, 3, 3, 1, 4, 0, 3, 4, 3, 2, 4, 0, 0, 3, 0, 3, 4, 4, 3, 4, 4, 4, 3, 4, 4, 0, 3, 2, 2, 0, 0, 1, 1, 3, 0, 0, 1, 0, 4, 4, 3, 0, 3, 4, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 3, 1, 3, 2, 3, 4, 4, 3, 1, 0, 4, 4, 3, 0, 4, 1, 0, 4, 4, 2, 2, 3, 0, 2, 2, 1, 2, 2, 4, 1, 4, 1, 1, 3, 0, 3, 3, 0, 1, 3, 2, 4, 1, 1, 3, 3, 0, 0, 4, 3, 3, 0, 2, 1, 4, 1, 3, 3, 2, 4, 3, 2, 1, 2, 0, 0, 1, 2, 3, 2, 2, 3, 1, 2, 2, 4, 2, 0, 0, 3, 4, 0, 0, 4, 4, 3, 3, 0, 0, 1, 3, 2, 3, 4, 3, 2, 3, 3, 1, 3, 4, 2, 2, 3, 3, 2, 4, 1, 4, 0, 2, 0, 4, 4, 1, 0, 2, 0, 3, 4, 3, 3, 4, 3, 3, 4, 1, 3, 3, 1, 3, 1, 1, 4, 1, 1, 2, 0, 0, 2, 1, 3, 3, 2, 3, 3, 3, 1, 2, 0, 0, 3, 4, 1, 2, 0, 0, 3, 3, 3, 0, 2, 2, 2, 3, 3, 4, 3, 0, 2, 1, 3, 1, 4, 1, 1, 1, 4, 2, 3, 3, 3, 4, 0, 4, 3, 3, 4, 1, 4, 1, 3, 4, 3, 0, 4, 1, 3, 4, 1, 3, 0, 0, 1, 0, 3, 0, 2, 0, 3, 4, 0, 2, 2, 4, 2]
pubkeycol801 = [4, 0, 1, 2, 2, 1, 3, 4, 0, 0, 0, 4, 3, 1, 3, 4, 4, 2, 1, 4, 3, 4, 4, 2, 3, 1, 1, 1, 2, 0, 1, 1, 2, 1, 3, 2, 1, 3, 4, 4, 0, 2, 1, 0, 1, 4, 2, 2, 1, 1, 4, 3, 3, 1, 1, 2, 1, 3, 3, 0, 1, 1, 4, 3, 1, 3, 3, 1, 0, 3, 3, 1, 4, 0, 4, 0, 0, 1, 3, 2, 0, 2, 3, 1, 4, 2, 1, 0, 3, 4, 1, 3, 3, 2, 4, 3, 1, 3, 4, 0, 4, 1, 1, 4, 3, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 3, 1, 0, 1, 2, 1, 0, 3, 1, 4, 2, 4, 2, 4, 0, 0, 2, 4, 0, 4, 0, 1, 0, 3, 2, 1, 1, 4, 0, 3, 3, 2, 4, 4, 2, 1, 4, 3, 1, 4, 2, 4, 2, 1, 0, 1, 4, 0, 3, 0, 3, 4, 0, 2, 2, 2, 1, 2, 3, 0, 0, 4, 0, 1, 1, 1, 1, 0, 1, 4, 0, 4, 3, 3, 3, 4, 1, 1, 4, 2, 3, 4, 3, 2, 3, 2, 4, 4, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 3, 4, 0, 1, 2, 2, 4, 1, 2, 3, 1, 4, 1, 4, 4, 3, 4, 3, 3, 3, 1, 3, 1, 0, 3, 0, 2, 3, 2, 2, 2, 3, 0, 0, 2, 4, 4, 4, 2, 1, 2, 0, 1, 4, 1, 0, 0, 4, 1, 2, 3, 4, 3, 2, 3, 2, 2, 3, 1, 4, 1, 4, 2, 1, 2, 2, 2, 1, 0, 3, 1, 3, 4, 3, 1, 4, 3, 4, 1, 3, 2, 4, 1, 2, 2, 3, 1, 4, 2, 2, 0, 0, 3, 2, 1, 3, 3, 2, 2, 2, 3, 4, 0, 1, 3, 0, 3, 3, 0, 2, 2, 1, 4, 4, 3, 4, 4, 1, 4, 1, 4, 3, 3, 0, 3, 1, 3, 2, 1, 4, 0, 0, 4, 3, 4, 4, 3, 4, 4, 2, 1, 3, 2, 1, 3, 0, 2, 3, 3, 1, 2, 3, 1, 2, 3, 1, 4, 2, 3, 2, 1, 3, 1, 2, 3, 0, 4, 4, 1, 0, 4, 0, 4, 2, 4, 0, 1, 4, 1, 4, 0, 4, 2, 2, 1, 3]
pubkeycol802 = [2, 0, 4, 2, 1, 4, 3, 4, 4, 0, 4, 1, 4, 0, 1, 2, 3, 1, 0, 3, 4, 3, 4, 4, 2, 2, 0, 1, 3, 0, 4, 0, 0, 2, 1, 0, 4, 1, 3, 1, 3, 3, 2, 2, 1, 1, 3, 4, 0, 2, 1, 4, 4, 3, 2, 0, 4, 4, 3, 1, 0, 1, 3, 4, 4, 3, 4, 2, 1, 2, 4, 2, 3, 4, 2, 2, 0, 4, 2, 1, 3, 1, 3, 3, 4, 4, 0, 0, 0, 4, 0, 4, 4, 3, 4, 2, 3, 4, 3, 2, 0, 0, 4, 0, 3, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 4, 2, 2, 4, 2, 3, 0, 0, 1, 2, 3, 4, 1, 1, 0, 4, 2, 3, 2, 3, 2, 4, 1, 1, 4, 2, 1, 0, 0, 1, 0, 3, 4, 2, 3, 1, 2, 1, 1, 3, 3, 2, 1, 4, 3, 1, 1, 3, 1, 2, 4, 1, 4, 0, 0, 0, 0, 4, 1, 0, 3, 4, 3, 3, 0, 1, 1, 3, 2, 4, 3, 4, 1, 3, 4, 3, 3, 4, 1, 1, 3, 3, 1, 2, 0, 1, 4, 0, 3, 0, 3, 4, 0, 2, 4, 0, 4, 1, 2, 0, 1, 4, 1, 4, 0, 0, 4, 4, 0, 4, 1, 2, 4, 3, 1, 1, 3, 3, 3, 2, 4, 1, 1, 3, 3, 3, 2, 4, 4, 2, 1, 1, 4, 0, 0, 0, 1, 3, 1, 3, 0, 4, 1, 0, 3, 3, 0, 3, 0, 1, 4, 3, 1, 3, 3, 4, 0, 1, 4, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 4, 0, 2, 0, 4, 4, 0, 3, 4, 0, 0, 0, 3, 3, 0, 0, 2, 2, 0, 4, 3, 2, 0, 3, 2, 0, 3, 4, 2, 4, 4, 0, 0, 0, 1, 1, 4, 3, 2, 3, 1, 2, 3, 2, 0, 2, 0, 4, 0, 4, 1, 1, 3, 2, 4, 0, 4, 1, 0, 4, 3, 1, 1, 2, 4, 2, 0, 1, 3, 4, 1, 1, 1, 1, 0, 4, 4, 0, 2, 4, 3, 1, 4, 3, 2, 3, 1, 3, 0, 2, 1, 4, 0, 0, 4, 4, 4, 0, 0, 4, 2, 2, 2, 3, 4, 0, 0, 2, 3, 0]
pubkeycol803 = [0, 4, 1, 1, 4, 4, 1, 4, 0, 1, 4, 4, 2, 2, 2, 1, 0, 3, 3, 2, 4, 0, 0, 0, 3, 0, 3, 4, 3, 4, 3, 3, 4, 3, 3, 0, 4, 4, 0, 4, 0, 0, 1, 0, 3, 4, 4, 2, 2, 2, 1, 3, 3, 4, 4, 4, 2, 2, 0, 2, 4, 0, 4, 2, 0, 4, 1, 3, 3, 1, 4, 1, 4, 4, 1, 4, 3, 3, 3, 4, 0, 4, 1, 3, 2, 4, 3, 4, 2, 2, 3, 3, 0, 3, 1, 2, 3, 4, 1, 1, 2, 0, 0, 4, 3, 2, 3, 2, 2, 1, 2, 2, 2, 4, 3, 1, 3, 2, 1, 4, 1, 4, 0, 0, 4, 4, 4, 2, 0, 3, 1, 2, 2, 1, 3, 0, 3, 1, 4, 4, 4, 3, 0, 0, 4, 0, 4, 3, 1, 0, 3, 3, 2, 0, 0, 0, 0, 0, 2, 2, 3, 2, 4, 3, 2, 1, 0, 0, 2, 2, 2, 4, 3, 2, 0, 2, 1, 2, 2, 3, 1, 4, 0, 4, 3, 1, 3, 3, 2, 4, 3, 3, 1, 1, 3, 0, 1, 4, 4, 4, 1, 4, 1, 3, 1, 1, 0, 3, 4, 2, 4, 3, 0, 4, 2, 4, 2, 4, 0, 2, 4, 4, 3, 3, 4, 2, 4, 2, 2, 4, 0, 2, 3, 1, 3, 2, 0, 3, 1, 2, 0, 4, 1, 2, 0, 0, 4, 3, 3, 0, 1, 1, 3, 3, 1, 4, 2, 1, 4, 3, 1, 4, 0, 3, 2, 3, 2, 1, 4, 1, 0, 1, 0, 4, 2, 1, 3, 3, 3, 0, 1, 0, 1, 0, 2, 3, 0, 0, 1, 3, 2, 3, 1, 0, 3, 4, 0, 2, 0, 4, 4, 2, 3, 0, 2, 1, 0, 4, 3, 2, 0, 1, 2, 1, 4, 2, 0, 2, 4, 1, 1, 1, 3, 1, 0, 3, 3, 4, 4, 2, 2, 3, 0, 1, 4, 0, 2, 1, 3, 0, 0, 4, 1, 4, 3, 2, 2, 3, 4, 2, 3, 2, 4, 3, 2, 1, 2, 2, 0, 1, 0, 3, 4, 4, 1, 4, 1, 3, 1, 0, 0, 2, 3, 4, 3, 2, 3, 1, 4, 0, 4, 2, 1, 2, 0, 3, 1, 3, 2, 2, 2, 1, 4, 2, 1, 3, 4, 1, 4, 4]
pubkeycol804 = [0, 0, 3, 0, 0, 2, 2, 4, 2, 0, 3, 4, 0, 0, 4, 1, 1, 2, 1, 1, 0, 2, 0, 1, 3, 4, 4, 2, 1, 1, 2, 2, 2, 4, 1, 3, 0, 4, 2, 2, 3, 4, 4, 2, 4, 2, 3, 4, 3, 0, 3, 1, 4, 3, 2, 4, 1, 4, 1, 4, 2, 4, 0, 3, 1, 1, 4, 3, 0, 2, 1, 3, 1, 0, 1, 1, 3, 4, 3, 3, 3, 2, 1, 3, 2, 2, 4, 3, 4, 4, 0, 0, 0, 4, 0, 3, 3, 4, 4, 1, 4, 2, 4, 3, 3, 3, 3, 2, 0, 2, 0, 2, 1, 3, 2, 0, 0, 3, 4, 0, 0, 4, 0, 4, 4, 4, 1, 1, 0, 3, 3, 2, 0, 1, 3, 0, 3, 2, 2, 3, 2, 0, 2, 2, 1, 4, 1, 3, 4, 1, 1, 3, 0, 3, 4, 0, 3, 4, 3, 0, 0, 1, 0, 4, 4, 1, 2, 2, 3, 2, 3, 1, 3, 1, 0, 1, 0, 0, 0, 4, 1, 4, 1, 4, 0, 1, 3, 0, 1, 3, 3, 1, 1, 3, 4, 3, 3, 1, 1, 1, 3, 1, 4, 0, 0, 3, 3, 0, 2, 4, 3, 4, 0, 1, 2, 4, 3, 0, 2, 0, 1, 2, 1, 4, 4, 1, 4, 0, 4, 2, 3, 1, 0, 2, 0, 2, 4, 2, 3, 4, 2, 0, 0, 0, 3, 0, 3, 4, 0, 0, 4, 0, 4, 2, 4, 1, 2, 4, 3, 2, 0, 2, 3, 1, 0, 2, 0, 2, 3, 0, 0, 4, 3, 2, 3, 2, 1, 3, 0, 2, 1, 4, 4, 4, 2, 1, 2, 3, 2, 2, 0, 3, 2, 4, 3, 4, 3, 2, 1, 3, 4, 4, 0, 3, 4, 3, 1, 3, 1, 3, 3, 0, 2, 2, 1, 0, 4, 3, 1, 0, 1, 2, 1, 0, 3, 1, 4, 1, 4, 2, 0, 1, 0, 0, 2, 2, 4, 2, 0, 0, 1, 3, 4, 0, 2, 1, 2, 3, 4, 2, 1, 0, 3, 0, 4, 1, 3, 4, 4, 2, 0, 0, 2, 1, 1, 1, 0, 4, 2, 3, 0, 4, 2, 1, 4, 1, 0, 2, 3, 2, 0, 4, 0, 0, 2, 4, 0, 3, 1, 2, 1, 1, 4, 1, 3, 2, 2, 2, 1, 4]
pubkeycol805 = [2, 0, 0, 1, 1, 0, 2, 2, 3, 0, 4, 3, 4, 2, 0, 1, 2, 2, 0, 0, 2, 3, 3, 2, 4, 1, 3, 3, 4, 4, 1, 1, 4, 0, 0, 4, 3, 4, 0, 3, 2, 0, 4, 1, 2, 0, 2, 2, 0, 3, 3, 3, 1, 4, 2, 3, 2, 4, 4, 2, 3, 3, 2, 3, 0, 1, 4, 3, 3, 4, 1, 3, 1, 3, 3, 4, 1, 1, 3, 0, 3, 1, 1, 1, 1, 4, 0, 4, 3, 3, 2, 2, 1, 4, 0, 0, 4, 3, 0, 3, 0, 4, 2, 2, 4, 2, 3, 3, 2, 2, 3, 0, 0, 3, 0, 4, 0, 3, 1, 4, 1, 4, 3, 0, 1, 0, 0, 0, 0, 3, 3, 0, 3, 3, 2, 2, 2, 4, 2, 1, 2, 4, 3, 1, 0, 0, 1, 2, 3, 2, 0, 0, 1, 2, 4, 3, 0, 3, 1, 4, 4, 3, 1, 0, 1, 4, 3, 0, 2, 2, 3, 0, 0, 1, 0, 4, 1, 2, 1, 4, 3, 1, 2, 4, 1, 0, 1, 0, 4, 2, 0, 3, 3, 0, 3, 4, 0, 2, 4, 4, 3, 0, 4, 0, 0, 0, 4, 0, 0, 4, 3, 3, 4, 0, 4, 2, 2, 4, 4, 3, 3, 2, 1, 2, 3, 4, 0, 2, 4, 4, 1, 1, 1, 2, 0, 2, 4, 4, 4, 0, 3, 0, 1, 0, 1, 4, 1, 0, 4, 4, 0, 0, 4, 3, 3, 4, 0, 0, 4, 4, 4, 0, 4, 1, 1, 1, 2, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 1, 3, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 4, 1, 2, 1, 3, 4, 0, 4, 0, 2, 2, 0, 1, 4, 0, 4, 1, 1, 2, 3, 3, 0, 3, 0, 4, 4, 1, 1, 3, 3, 2, 2, 4, 3, 4, 4, 3, 0, 1, 0, 0, 4, 2, 2, 2, 1, 3, 4, 3, 3, 1, 3, 3, 0, 3, 3, 2, 4, 4, 2, 3, 0, 0, 0, 3, 1, 2, 2, 3, 4, 2, 0, 0, 2, 4, 1, 2, 2, 2, 4, 2, 0, 1, 4, 2, 4, 4, 4, 1, 2, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 3, 1, 1, 4, 2, 0, 3, 0, 4]
pubkeycol806 = [3, 3, 1, 4, 4, 4, 1, 2, 4, 3, 3, 1, 3, 0, 4, 0, 0, 2, 3, 2, 0, 4, 1, 1, 3, 1, 1, 4, 0, 0, 2, 2, 3, 4, 2, 0, 4, 2, 2, 2, 3, 2, 1, 1, 4, 3, 1, 4, 0, 2, 4, 4, 0, 0, 0, 2, 0, 4, 4, 0, 4, 3, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 3, 1, 0, 2, 2, 0, 2, 1, 0, 4, 0, 1, 3, 1, 2, 1, 0, 2, 2, 1, 4, 2, 2, 2, 3, 2, 1, 3, 3, 1, 2, 1, 1, 4, 0, 4, 0, 1, 3, 3, 4, 2, 3, 1, 3, 3, 1, 1, 2, 4, 2, 4, 1, 1, 3, 0, 1, 2, 4, 2, 4, 1, 3, 4, 3, 3, 0, 1, 3, 0, 4, 1, 4, 3, 4, 0, 2, 3, 4, 2, 0, 2, 4, 2, 0, 4, 0, 2, 1, 0, 3, 1, 4, 3, 1, 4, 2, 3, 1, 4, 2, 1, 4, 3, 1, 0, 0, 4, 3, 1, 3, 1, 1, 3, 0, 4, 2, 1, 3, 2, 3, 3, 1, 2, 2, 2, 1, 4, 4, 3, 2, 2, 1, 4, 2, 1, 2, 2, 4, 4, 2, 2, 3, 3, 0, 0, 0, 4, 2, 1, 3, 2, 1, 4, 3, 3, 3, 3, 4, 1, 0, 3, 2, 1, 0, 2, 2, 3, 1, 2, 4, 3, 2, 3, 3, 2, 4, 0, 1, 2, 1, 3, 4, 4, 3, 3, 1, 4, 2, 1, 0, 4, 3, 0, 4, 4, 4, 3, 2, 4, 4, 1, 0, 2, 3, 1, 0, 2, 1, 3, 4, 0, 1, 0, 2, 1, 4, 4, 4, 3, 3, 3, 0, 1, 3, 4, 4, 4, 2, 1, 4, 4, 0, 3, 2, 4, 0, 0, 3, 1, 0, 0, 0, 4, 4, 2, 3, 0, 3, 1, 1, 3, 0, 4, 2, 1, 2, 0, 2, 1, 1, 2, 2, 4, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 4, 0, 0, 0, 3, 3, 1, 1, 0, 3, 2, 0, 1, 3, 4, 0, 4, 2, 0, 4, 4, 3, 3, 4, 1, 4, 1, 3, 2, 4, 0, 4, 1, 1, 3, 1, 4, 1, 2, 2, 4, 0, 1, 0, 0, 1, 2, 2, 2, 4, 2, 3, 1]
pubkeycol807 = [0, 1, 4, 0, 1, 1, 3, 4, 1, 3, 0, 1, 2, 2, 3, 0, 3, 2, 4, 3, 4, 0, 4, 2, 1, 1, 4, 2, 4, 4, 3, 2, 3, 1, 0, 3, 4, 2, 3, 3, 4, 2, 0, 1, 2, 0, 2, 4, 3, 4, 0, 3, 2, 4, 2, 4, 4, 1, 0, 3, 3, 0, 3, 3, 4, 4, 4, 3, 2, 0, 1, 1, 4, 0, 4, 0, 0, 2, 3, 1, 4, 4, 4, 2, 1, 3, 0, 0, 1, 3, 4, 0, 1, 4, 4, 0, 4, 4, 0, 1, 1, 0, 1, 2, 1, 0, 3, 4, 1, 1, 1, 4, 2, 4, 3, 4, 3, 0, 1, 4, 1, 4, 0, 4, 4, 1, 0, 1, 4, 3, 0, 4, 2, 1, 0, 2, 2, 3, 0, 4, 2, 2, 1, 4, 3, 1, 2, 2, 2, 0, 1, 0, 4, 4, 0, 2, 0, 0, 4, 0, 4, 1, 1, 4, 1, 4, 3, 0, 2, 1, 1, 2, 4, 2, 4, 1, 3, 1, 0, 3, 1, 4, 4, 0, 0, 4, 1, 0, 4, 1, 4, 0, 4, 3, 1, 4, 3, 0, 0, 0, 0, 1, 1, 0, 4, 2, 1, 0, 4, 1, 4, 3, 0, 2, 4, 3, 2, 3, 0, 1, 1, 4, 1, 1, 0, 3, 2, 0, 3, 0, 4, 1, 1, 4, 0, 3, 1, 1, 2, 1, 4, 4, 4, 0, 2, 1, 3, 4, 2, 2, 2, 1, 4, 4, 4, 3, 3, 3, 4, 2, 3, 0, 2, 0, 3, 4, 1, 0, 4, 3, 1, 2, 2, 2, 0, 0, 0, 0, 4, 1, 3, 2, 4, 0, 2, 4, 4, 4, 3, 3, 0, 1, 4, 4, 0, 1, 4, 4, 3, 2, 3, 3, 1, 4, 1, 3, 3, 0, 1, 0, 3, 1, 2, 2, 1, 3, 3, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 4, 1, 1, 0, 4, 0, 2, 0, 3, 3, 3, 2, 2, 3, 0, 3, 1, 3, 0, 1, 3, 0, 0, 2, 4, 0, 0, 2, 2, 1, 4, 3, 3, 1, 4, 0, 1, 3, 2, 3, 0, 3, 0, 2, 4, 1, 4, 4, 4, 2, 0, 4, 4, 2, 1, 2, 2, 4, 1, 0, 0, 3, 3, 4, 0, 0, 2, 1, 0, 0, 4, 4, 0]
pubkeycol808 = [4, 4, 4, 0, 3, 1, 4, 2, 1, 2, 3, 2, 3, 3, 3, 2, 2, 0, 0, 3, 0, 1, 2, 4, 0, 2, 1, 4, 2, 0, 2, 0, 1, 4, 0, 1, 4, 4, 0, 2, 1, 2, 0, 0, 0, 4, 3, 4, 4, 2, 0, 2, 2, 4, 4, 2, 3, 4, 4, 1, 4, 2, 1, 1, 4, 3, 1, 0, 1, 0, 4, 3, 0, 0, 0, 0, 3, 2, 0, 4, 1, 1, 1, 0, 3, 3, 1, 2, 0, 2, 0, 0, 1, 0, 4, 3, 1, 1, 2, 2, 0, 0, 0, 1, 4, 0, 3, 3, 1, 0, 4, 0, 1, 3, 2, 1, 4, 0, 4, 4, 1, 3, 1, 0, 1, 1, 0, 4, 3, 1, 3, 4, 4, 4, 2, 3, 3, 2, 4, 1, 2, 3, 4, 0, 3, 1, 4, 3, 0, 0, 3, 0, 0, 0, 3, 0, 1, 2, 4, 2, 0, 0, 2, 0, 0, 2, 0, 4, 3, 2, 0, 1, 3, 0, 4, 3, 1, 3, 2, 4, 1, 0, 3, 4, 1, 1, 2, 0, 2, 0, 4, 3, 4, 3, 2, 0, 3, 4, 0, 4, 4, 0, 2, 0, 4, 4, 3, 4, 4, 0, 1, 0, 0, 3, 3, 4, 4, 3, 3, 0, 2, 0, 2, 4, 2, 0, 0, 0, 3, 2, 2, 0, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2, 4, 1, 1, 0, 1, 2, 4, 0, 4, 2, 2, 1, 1, 3, 1, 0, 2, 1, 4, 3, 0, 3, 1, 1, 3, 4, 2, 2, 0, 2, 4, 1, 4, 2, 0, 0, 0, 0, 2, 0, 3, 2, 0, 2, 1, 2, 0, 3, 2, 3, 0, 0, 1, 4, 0, 1, 3, 1, 1, 1, 2, 3, 3, 2, 1, 0, 2, 2, 1, 3, 0, 2, 2, 1, 4, 0, 4, 4, 1, 3, 3, 2, 1, 1, 4, 1, 3, 3, 0, 1, 0, 4, 3, 0, 4, 1, 4, 2, 2, 4, 3, 4, 4, 1, 4, 1, 4, 1, 1, 1, 4, 3, 1, 4, 4, 1, 3, 0, 0, 1, 2, 3, 1, 3, 1, 1, 0, 0, 1, 0, 3, 3, 2, 3, 0, 4, 1, 0, 2, 4, 4, 4, 0, 4, 3, 3, 3, 2, 4, 2, 0, 3, 2, 1, 3, 1, 2, 0]
pubkeycol809 = [0, 3, 2, 0, 2, 0, 3, 3, 0, 0, 0, 4, 2, 2, 4, 0, 0, 4, 0, 2, 2, 4, 3, 0, 2, 3, 1, 2, 2, 2, 3, 1, 2, 0, 4, 4, 4, 3, 0, 0, 3, 4, 3, 1, 2, 3, 0, 2, 2, 1, 0, 4, 2, 2, 2, 3, 4, 1, 4, 1, 0, 4, 1, 3, 0, 2, 3, 2, 4, 0, 1, 3, 2, 2, 0, 4, 1, 1, 0, 4, 1, 2, 3, 2, 3, 0, 3, 4, 1, 2, 4, 0, 2, 0, 2, 2, 1, 3, 0, 4, 0, 3, 0, 2, 0, 1, 3, 2, 4, 4, 2, 0, 2, 2, 1, 0, 4, 3, 0, 4, 2, 4, 1, 3, 0, 4, 0, 1, 2, 0, 1, 3, 4, 4, 0, 1, 4, 0, 2, 3, 1, 1, 2, 1, 1, 0, 3, 4, 3, 1, 4, 1, 1, 2, 2, 3, 0, 0, 1, 3, 1, 1, 4, 2, 0, 3, 0, 1, 1, 3, 4, 1, 3, 1, 4, 0, 2, 2, 0, 3, 0, 4, 2, 3, 1, 4, 2, 3, 1, 1, 1, 2, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 1, 4, 4, 0, 1, 0, 4, 0, 1, 2, 2, 2, 3, 3, 4, 4, 3, 0, 0, 3, 4, 3, 2, 2, 2, 0, 2, 3, 0, 1, 2, 3, 4, 2, 2, 0, 4, 0, 2, 3, 1, 4, 1, 0, 2, 0, 4, 1, 3, 2, 4, 3, 1, 3, 0, 2, 4, 4, 0, 1, 1, 0, 3, 2, 1, 1, 2, 0, 2, 2, 2, 3, 1, 1, 1, 2, 0, 3, 2, 1, 1, 0, 0, 2, 3, 4, 4, 1, 0, 4, 1, 3, 2, 2, 3, 4, 3, 3, 0, 0, 2, 3, 1, 2, 4, 0, 0, 1, 2, 1, 3, 4, 0, 4, 0, 1, 0, 3, 3, 1, 3, 3, 1, 1, 3, 0, 3, 4, 1, 4, 2, 3, 1, 1, 4, 4, 0, 3, 0, 3, 2, 0, 0, 2, 2, 1, 0, 4, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 4, 0, 3, 0, 4, 2, 3, 1, 4, 2, 4, 4, 2, 0, 4, 4, 3, 3, 2, 2, 3, 1, 1, 1, 2, 4, 3, 0, 1, 2, 4, 3, 0, 1, 0, 2, 0, 2, 2]
pubkeycol810 = [1, 3, 3, 1, 3, 3, 0, 2, 0, 2, 4, 3, 4, 4, 1, 4, 3, 2, 2, 1, 2, 3, 2, 3, 1, 1, 2, 0, 4, 2, 3, 3, 0, 2, 0, 1, 0, 0, 3, 0, 3, 2, 0, 3, 4, 2, 1, 4, 3, 2, 4, 4, 1, 3, 0, 2, 2, 1, 2, 2, 2, 0, 4, 1, 1, 4, 3, 0, 4, 2, 2, 0, 0, 3, 1, 2, 3, 3, 1, 0, 2, 1, 4, 4, 2, 0, 2, 4, 4, 3, 2, 4, 1, 4, 4, 2, 1, 3, 1, 0, 2, 4, 4, 1, 4, 3, 3, 3, 1, 4, 3, 2, 0, 1, 1, 1, 2, 1, 3, 1, 4, 0, 1, 4, 4, 3, 4, 1, 4, 0, 4, 1, 3, 0, 3, 2, 1, 4, 3, 0, 3, 0, 4, 0, 1, 1, 3, 4, 0, 3, 2, 1, 0, 1, 2, 0, 4, 3, 3, 0, 2, 4, 3, 0, 0, 3, 3, 2, 3, 1, 4, 3, 4, 2, 1, 2, 4, 4, 2, 0, 1, 3, 3, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 4, 3, 4, 3, 1, 4, 2, 3, 2, 1, 4, 1, 2, 4, 2, 2, 2, 0, 0, 4, 1, 3, 3, 3, 2, 2, 3, 4, 2, 4, 0, 0, 2, 2, 0, 3, 2, 0, 1, 1, 0, 1, 3, 2, 4, 4, 3, 3, 2, 1, 3, 2, 2, 0, 0, 1, 3, 3, 0, 1, 0, 1, 1, 2, 2, 4, 0, 1, 4, 2, 1, 1, 4, 4, 0, 0, 4, 1, 1, 4, 3, 1, 2, 2, 0, 1, 3, 4, 2, 3, 3, 2, 1, 0, 3, 4, 2, 1, 2, 1, 2, 4, 2, 4, 2, 4, 3, 0, 3, 2, 2, 0, 4, 2, 2, 4, 4, 2, 2, 0, 4, 3, 3, 4, 1, 0, 2, 2, 0, 1, 4, 0, 2, 0, 0, 3, 4, 2, 2, 0, 1, 2, 1, 3, 0, 0, 3, 3, 3, 0, 1, 0, 4, 1, 1, 0, 1, 0, 3, 0, 4, 1, 3, 4, 4, 4, 3, 0, 4, 2, 4, 1, 3, 2, 4, 3, 4, 4, 4, 1, 2, 2, 4, 3, 0, 2, 4, 2, 3, 0, 1, 0, 1, 3, 0, 3, 3, 2, 2, 1, 0, 0, 4, 3, 3, 4, 3]
pubkeycol811 = [1, 0, 1, 0, 0, 3, 2, 3, 3, 0, 0, 1, 1, 3, 3, 2, 0, 2, 4, 3, 2, 0, 1, 4, 4, 3, 3, 1, 0, 3, 1, 1, 4, 2, 2, 4, 2, 3, 0, 3, 2, 3, 3, 1, 3, 3, 3, 1, 4, 0, 1, 3, 3, 3, 4, 3, 3, 1, 0, 3, 4, 1, 1, 1, 1, 4, 1, 2, 0, 2, 1, 0, 2, 2, 0, 4, 4, 4, 0, 1, 4, 4, 1, 3, 0, 4, 1, 4, 2, 0, 1, 4, 4, 4, 3, 4, 2, 4, 3, 3, 0, 0, 2, 1, 3, 4, 3, 0, 3, 4, 2, 4, 3, 3, 0, 1, 2, 4, 2, 0, 1, 3, 1, 2, 1, 4, 2, 1, 2, 1, 1, 4, 4, 2, 2, 2, 2, 3, 3, 0, 1, 0, 2, 0, 2, 0, 1, 3, 0, 3, 1, 2, 4, 3, 0, 1, 4, 4, 3, 0, 4, 0, 0, 4, 4, 2, 4, 3, 1, 2, 1, 4, 3, 2, 0, 3, 2, 4, 2, 1, 2, 4, 0, 0, 1, 2, 2, 1, 1, 3, 1, 3, 3, 3, 1, 0, 0, 4, 0, 3, 4, 2, 1, 4, 4, 4, 4, 4, 4, 3, 4, 0, 4, 3, 1, 2, 1, 4, 0, 3, 0, 4, 2, 2, 4, 4, 0, 4, 3, 3, 2, 1, 1, 4, 2, 0, 4, 2, 0, 3, 0, 1, 4, 0, 3, 1, 0, 4, 1, 2, 3, 2, 0, 0, 2, 0, 1, 2, 4, 1, 1, 2, 4, 1, 1, 4, 1, 2, 3, 0, 2, 0, 1, 4, 1, 3, 4, 0, 2, 1, 0, 3, 2, 2, 4, 2, 3, 1, 0, 0, 2, 1, 3, 2, 1, 4, 1, 1, 0, 2, 4, 4, 4, 3, 1, 2, 3, 3, 3, 3, 3, 0, 4, 3, 0, 3, 1, 4, 3, 1, 2, 0, 3, 0, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 3, 4, 4, 3, 3, 2, 2, 2, 2, 3, 2, 1, 4, 2, 2, 0, 0, 3, 0, 3, 0, 2, 1, 4, 2, 0, 1, 1, 3, 1, 2, 4, 1, 4, 3, 4, 2, 2, 0, 1, 3, 4, 1, 1, 1, 2, 0, 0, 3, 2, 4, 2, 0, 4, 0, 2, 0, 2, 4, 1, 3, 2, 2, 0, 1]
pubkeycol812 = [4, 0, 1, 1, 1, 2, 0, 1, 3, 2, 3, 2, 3, 0, 3, 4, 0, 4, 0, 0, 0, 4, 2, 1, 1, 1, 2, 2, 1, 3, 3, 3, 2, 2, 1, 4, 2, 1, 3, 0, 3, 1, 2, 1, 2, 1, 1, 0, 0, 0, 3, 2, 4, 4, 3, 2, 1, 4, 1, 0, 2, 3, 0, 3, 2, 0, 4, 4, 4, 2, 0, 1, 1, 4, 3, 3, 3, 2, 0, 0, 0, 2, 0, 3, 1, 3, 0, 1, 2, 4, 1, 2, 2, 3, 2, 0, 1, 1, 4, 3, 1, 3, 3, 0, 0, 4, 2, 4, 4, 3, 3, 2, 2, 2, 0, 1, 4, 0, 1, 1, 3, 2, 0, 3, 2, 0, 0, 0, 0, 2, 4, 1, 1, 3, 0, 1, 3, 2, 4, 1, 1, 3, 3, 3, 2, 1, 4, 3, 2, 0, 3, 0, 3, 1, 3, 2, 4, 1, 3, 4, 3, 2, 2, 3, 4, 0, 1, 4, 4, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 3, 2, 4, 4, 3, 4, 4, 2, 1, 1, 3, 1, 1, 2, 2, 2, 1, 2, 4, 2, 0, 3, 0, 3, 0, 2, 1, 2, 4, 0, 1, 4, 4, 1, 1, 1, 4, 0, 0, 0, 4, 1, 0, 1, 2, 3, 1, 3, 0, 4, 3, 4, 4, 4, 0, 0, 4, 0, 2, 2, 0, 4, 4, 2, 1, 3, 2, 3, 2, 1, 3, 4, 3, 4, 2, 0, 4, 3, 2, 2, 0, 3, 1, 0, 2, 3, 3, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 4, 1, 4, 1, 1, 3, 3, 1, 4, 0, 3, 0, 4, 4, 0, 0, 3, 2, 0, 3, 0, 2, 3, 4, 2, 4, 0, 2, 2, 3, 4, 1, 1, 0, 2, 1, 4, 2, 2, 0, 1, 0, 2, 2, 0, 4, 0, 3, 0, 3, 0, 3, 2, 1, 2, 0, 3, 4, 2, 1, 2, 4, 3, 0, 3, 2, 4, 1, 4, 4, 1, 3, 0, 4, 4, 1, 2, 0, 4, 0, 2, 4, 0, 3, 1, 0, 0, 1, 3, 4, 0, 2, 3, 2, 4, 1, 3, 1, 2, 1, 2, 1, 0, 3, 0, 4, 2, 2, 0, 3, 0, 1, 0, 0, 4, 4, 4, 1, 0, 3, 2, 4, 0]
pubkeycol813 = [2, 1, 2, 3, 2, 0, 3, 3, 0, 3, 0, 3, 1, 3, 4, 3, 4, 2, 4, 1, 2, 1, 4, 3, 4, 1, 1, 3, 0, 2, 0, 4, 3, 4, 2, 3, 1, 0, 2, 4, 3, 0, 3, 3, 3, 4, 4, 1, 4, 0, 3, 1, 0, 1, 2, 3, 4, 3, 0, 1, 3, 2, 0, 2, 1, 1, 0, 1, 3, 4, 0, 4, 1, 4, 4, 0, 4, 0, 2, 2, 2, 0, 1, 1, 4, 4, 0, 4, 1, 4, 1, 0, 3, 0, 2, 1, 3, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 4, 0, 3, 0, 3, 4, 1, 0, 2, 3, 4, 4, 2, 1, 0, 3, 4, 1, 1, 4, 1, 1, 1, 3, 2, 4, 4, 3, 0, 2, 0, 0, 2, 0, 4, 2, 2, 0, 0, 0, 3, 3, 2, 0, 0, 3, 4, 3, 4, 4, 3, 0, 2, 2, 1, 3, 1, 3, 4, 1, 1, 4, 0, 1, 1, 1, 0, 3, 0, 2, 4, 2, 4, 0, 3, 3, 1, 1, 3, 2, 4, 3, 3, 1, 1, 1, 1, 0, 2, 3, 0, 1, 1, 1, 0, 0, 3, 1, 0, 3, 4, 0, 0, 4, 3, 1, 0, 0, 4, 4, 1, 0, 2, 0, 3, 4, 1, 2, 0, 2, 0, 0, 4, 0, 1, 2, 1, 0, 1, 4, 0, 0, 4, 3, 2, 4, 1, 3, 4, 2, 0, 3, 2, 2, 4, 1, 0, 4, 0, 1, 4, 3, 4, 1, 0, 0, 3, 1, 3, 2, 0, 4, 4, 1, 1, 3, 2, 1, 2, 3, 2, 3, 1, 1, 2, 0, 2, 4, 4, 2, 1, 3, 4, 4, 2, 2, 0, 4, 3, 1, 4, 3, 2, 0, 1, 0, 1, 3, 3, 0, 4, 0, 1, 3, 1, 4, 0, 0, 4, 4, 3, 1, 4, 1, 2, 0, 3, 3, 2, 1, 2, 2, 3, 2, 0, 4, 2, 3, 2, 3, 0, 2, 1, 1, 1, 4, 2, 4, 3, 0, 4, 3, 3, 3, 4, 3, 1, 2, 4, 2, 4, 2, 1, 3, 4, 4, 1, 2, 0, 2, 0, 1, 1, 1, 1, 4, 2, 4, 1, 1, 0, 2, 1, 1, 1, 3, 2, 4, 0, 4, 3, 3, 4, 0, 1, 1, 1, 4, 4, 1, 0, 3]
pubkeycol814 = [0, 4, 1, 3, 1, 1, 4, 1, 1, 0, 0, 3, 0, 4, 3, 3, 3, 0, 3, 3, 0, 2, 3, 2, 1, 0, 0, 1, 2, 3, 1, 3, 4, 1, 1, 0, 3, 1, 2, 2, 4, 2, 0, 3, 2, 0, 0, 2, 4, 0, 4, 2, 0, 3, 0, 4, 1, 4, 4, 0, 2, 1, 4, 0, 4, 0, 1, 0, 4, 1, 3, 3, 0, 2, 3, 3, 4, 3, 4, 2, 2, 1, 3, 2, 3, 4, 0, 0, 2, 1, 0, 1, 4, 1, 3, 2, 4, 4, 3, 1, 1, 0, 4, 0, 0, 1, 4, 1, 2, 4, 3, 3, 3, 2, 2, 0, 4, 0, 4, 4, 4, 3, 0, 4, 0, 3, 4, 3, 3, 1, 4, 1, 0, 3, 3, 0, 0, 3, 1, 1, 0, 4, 3, 0, 0, 0, 1, 1, 4, 1, 4, 3, 2, 2, 2, 0, 3, 3, 4, 4, 1, 3, 4, 1, 4, 4, 3, 4, 4, 0, 4, 1, 1, 4, 1, 2, 3, 2, 3, 0, 3, 4, 4, 4, 0, 1, 1, 2, 0, 2, 2, 1, 1, 3, 1, 2, 3, 2, 3, 1, 1, 2, 0, 1, 4, 0, 4, 4, 0, 4, 1, 4, 3, 4, 0, 0, 2, 2, 3, 0, 1, 2, 2, 4, 2, 3, 0, 2, 3, 2, 2, 0, 1, 2, 4, 2, 2, 2, 2, 0, 1, 3, 4, 3, 3, 2, 0, 1, 1, 0, 0, 1, 4, 1, 3, 1, 1, 0, 4, 4, 0, 0, 2, 0, 0, 2, 3, 3, 3, 2, 4, 4, 0, 1, 4, 1, 0, 2, 0, 3, 2, 4, 4, 0, 0, 3, 4, 3, 2, 1, 0, 0, 3, 0, 4, 2, 4, 2, 3, 3, 3, 4, 0, 3, 2, 1, 3, 3, 4, 1, 4, 4, 3, 3, 2, 3, 4, 1, 0, 0, 3, 3, 2, 0, 4, 4, 4, 3, 4, 0, 1, 0, 1, 4, 4, 1, 2, 3, 0, 0, 4, 3, 2, 0, 4, 2, 1, 1, 4, 2, 0, 4, 3, 3, 3, 1, 3, 2, 0, 3, 1, 2, 2, 4, 1, 4, 0, 3, 3, 0, 4, 3, 2, 2, 2, 2, 2, 2, 0, 4, 0, 2, 2, 3, 4, 3, 3, 4, 3, 1, 1, 2, 1, 3, 3, 2, 1, 3, 3, 2]
pubkeycol815 = [1, 4, 1, 4, 1, 1, 4, 1, 2, 2, 2, 4, 2, 1, 2, 2, 0, 3, 1, 4, 4, 0, 2, 0, 3, 0, 1, 2, 3, 3, 3, 1, 2, 3, 2, 4, 4, 4, 3, 1, 3, 2, 2, 1, 4, 0, 4, 4, 0, 2, 3, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 3, 3, 4, 3, 3, 1, 1, 2, 4, 0, 0, 4, 3, 0, 3, 1, 0, 1, 3, 3, 3, 3, 0, 3, 4, 2, 4, 2, 3, 3, 0, 0, 3, 2, 2, 0, 3, 4, 2, 2, 2, 0, 2, 1, 4, 1, 3, 1, 2, 4, 0, 1, 4, 0, 0, 2, 3, 4, 3, 3, 2, 2, 3, 0, 4, 1, 2, 0, 4, 0, 2, 1, 0, 0, 0, 2, 2, 4, 2, 4, 4, 0, 3, 0, 1, 2, 0, 0, 4, 4, 0, 1, 2, 2, 3, 3, 3, 4, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 3, 1, 4, 2, 2, 2, 2, 4, 2, 3, 1, 0, 4, 0, 3, 2, 4, 0, 2, 0, 4, 0, 2, 1, 1, 2, 3, 0, 3, 0, 3, 0, 0, 2, 1, 1, 0, 1, 3, 4, 4, 2, 1, 2, 0, 0, 4, 1, 0, 3, 3, 4, 2, 0, 0, 0, 2, 3, 0, 1, 3, 1, 4, 0, 3, 0, 3, 3, 4, 1, 1, 0, 1, 2, 3, 4, 0, 3, 2, 0, 2, 2, 2, 1, 2, 4, 1, 4, 1, 2, 3, 3, 1, 0, 4, 1, 3, 2, 1, 4, 0, 0, 1, 2, 1, 3, 3, 4, 4, 4, 4, 3, 1, 4, 1, 0, 4, 2, 2, 0, 2, 1, 3, 0, 0, 4, 2, 0, 1, 0, 2, 0, 4, 2, 2, 0, 1, 3, 0, 4, 3, 1, 2, 0, 0, 1, 4, 3, 4, 2, 1, 4, 0, 4, 1, 4, 4, 1, 1, 3, 3, 4, 0, 4, 2, 3, 2, 4, 4, 4, 4, 3, 4, 0, 4, 3, 1, 2, 1, 1, 0, 2, 1, 4, 4, 0, 2, 2, 4, 3, 1, 0, 3, 3, 2, 0, 3, 2, 3, 0, 0, 1, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 4, 4, 2, 3, 2, 0, 0, 4, 0, 2, 4, 1, 3, 0]
pubkeycol816 = [4, 4, 4, 2, 3, 2, 0, 3, 0, 3, 4, 2, 1, 4, 2, 3, 2, 0, 3, 0, 1, 4, 2, 4, 4, 1, 1, 2, 2, 0, 2, 0, 2, 2, 3, 2, 4, 0, 4, 1, 2, 1, 0, 4, 2, 1, 2, 1, 3, 4, 3, 4, 2, 3, 2, 0, 1, 3, 1, 2, 3, 0, 1, 4, 3, 2, 1, 4, 2, 2, 0, 4, 4, 3, 4, 4, 0, 3, 4, 4, 0, 3, 4, 0, 4, 4, 1, 2, 1, 4, 2, 0, 1, 3, 2, 3, 1, 0, 4, 1, 4, 2, 4, 4, 4, 1, 1, 3, 2, 0, 1, 4, 2, 2, 4, 0, 0, 2, 0, 4, 0, 4, 3, 0, 0, 3, 4, 0, 2, 3, 0, 2, 1, 0, 2, 2, 0, 3, 4, 1, 3, 4, 4, 1, 0, 1, 3, 3, 2, 4, 4, 0, 3, 3, 2, 3, 0, 3, 0, 1, 4, 1, 2, 2, 3, 2, 0, 1, 4, 0, 1, 1, 3, 4, 4, 2, 0, 2, 1, 1, 3, 4, 0, 2, 2, 2, 0, 1, 2, 2, 3, 0, 3, 0, 3, 1, 4, 0, 0, 2, 3, 2, 2, 2, 4, 3, 2, 4, 1, 4, 1, 0, 0, 0, 0, 1, 4, 4, 4, 4, 2, 0, 3, 4, 1, 3, 0, 1, 1, 2, 4, 3, 1, 1, 0, 4, 4, 0, 2, 0, 1, 3, 4, 0, 0, 1, 2, 3, 2, 2, 4, 4, 2, 2, 0, 0, 1, 3, 3, 3, 3, 3, 3, 2, 0, 0, 4, 3, 3, 1, 3, 2, 2, 4, 3, 4, 4, 1, 0, 3, 4, 4, 0, 2, 2, 3, 3, 1, 0, 1, 3, 0, 0, 4, 1, 3, 4, 2, 1, 1, 1, 4, 2, 2, 2, 2, 2, 4, 3, 1, 4, 1, 4, 2, 4, 1, 2, 1, 0, 2, 2, 1, 3, 2, 1, 3, 2, 3, 4, 4, 0, 0, 3, 4, 1, 0, 1, 4, 1, 1, 4, 2, 3, 2, 2, 3, 4, 4, 2, 4, 4, 0, 3, 1, 0, 3, 3, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 4, 1, 1, 4, 3, 3, 2, 2, 0, 2, 1, 3, 4, 4, 3, 3, 1, 1, 4, 4, 4, 2, 3, 0, 1, 4, 4, 3, 2, 4, 1, 0]
pubkeycol817 = [1, 2, 0, 0, 2, 2, 3, 0, 1, 1, 2, 1, 0, 1, 2, 3, 2, 1, 3, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 4, 4, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 4, 1, 3, 2, 1, 3, 3, 2, 2, 0, 2, 3, 0, 2, 3, 4, 2, 1, 4, 2, 1, 1, 0, 4, 4, 4, 3, 3, 2, 3, 0, 3, 2, 0, 3, 2, 3, 1, 1, 2, 0, 4, 3, 2, 4, 0, 1, 0, 3, 0, 2, 3, 0, 1, 0, 3, 3, 1, 3, 0, 3, 4, 0, 1, 3, 1, 4, 0, 2, 3, 3, 1, 4, 4, 2, 0, 0, 2, 2, 2, 2, 0, 3, 3, 3, 3, 4, 2, 2, 3, 1, 4, 1, 0, 0, 3, 3, 4, 2, 4, 4, 1, 1, 3, 2, 2, 1, 2, 2, 1, 3, 2, 1, 4, 1, 0, 3, 4, 2, 3, 3, 4, 4, 1, 0, 4, 4, 3, 2, 3, 3, 0, 2, 3, 4, 3, 2, 3, 2, 4, 3, 2, 3, 1, 4, 2, 2, 3, 4, 0, 2, 3, 1, 4, 2, 3, 1, 1, 4, 1, 1, 4, 4, 3, 2, 3, 1, 0, 4, 2, 2, 2, 4, 4, 4, 0, 1, 0, 1, 3, 0, 3, 2, 2, 3, 1, 1, 4, 4, 0, 4, 4, 3, 2, 1, 0, 0, 4, 1, 1, 0, 3, 2, 0, 3, 2, 4, 0, 2, 0, 0, 0, 4, 2, 1, 4, 4, 4, 3, 1, 3, 3, 1, 4, 4, 2, 1, 0, 0, 4, 0, 1, 0, 0, 2, 3, 2, 1, 3, 4, 1, 0, 1, 1, 3, 0, 2, 1, 3, 1, 4, 3, 0, 3, 3, 0, 2, 1, 2, 2, 3, 2, 3, 2, 2, 0, 4, 3, 4, 4, 0, 1, 1, 4, 1, 0, 4, 0, 0, 2, 0, 2, 2, 1, 2, 2, 3, 2, 1, 2, 1, 4, 3, 3, 2, 3, 4, 0, 3, 3, 4, 0, 1, 3, 0, 0, 1, 0, 3, 2, 0, 3, 0, 2, 1, 2, 3, 4, 3, 3, 0, 4, 0, 3, 2, 3, 1, 0, 1, 2, 1, 0, 2, 0, 4, 0, 2, 4, 0, 3, 0, 0, 0, 4, 1, 1, 2, 1, 1, 3, 1, 4, 1, 0, 2, 1, 2]
pubkeycol818 = [1, 1, 1, 2, 3, 1, 4, 0, 2, 1, 2, 1, 1, 3, 1, 2, 4, 0, 0, 0, 0, 4, 4, 3, 0, 0, 4, 0, 3, 3, 3, 2, 0, 0, 1, 0, 2, 4, 3, 3, 1, 0, 3, 2, 4, 4, 0, 4, 4, 3, 1, 4, 4, 4, 1, 1, 0, 4, 0, 2, 0, 2, 0, 3, 0, 1, 4, 3, 3, 0, 4, 0, 2, 1, 1, 3, 0, 4, 1, 4, 3, 2, 4, 0, 1, 3, 4, 1, 0, 1, 3, 0, 4, 1, 0, 1, 2, 4, 2, 3, 4, 4, 1, 2, 0, 1, 1, 1, 0, 3, 0, 2, 1, 4, 2, 1, 0, 1, 4, 3, 0, 3, 4, 0, 1, 0, 4, 2, 3, 4, 0, 2, 0, 4, 1, 1, 1, 1, 4, 1, 4, 1, 0, 1, 0, 0, 4, 2, 3, 1, 1, 2, 3, 2, 2, 1, 4, 0, 3, 4, 1, 4, 3, 0, 0, 4, 4, 2, 3, 0, 4, 1, 1, 3, 3, 4, 2, 1, 2, 1, 3, 2, 4, 3, 1, 1, 4, 3, 4, 3, 4, 0, 3, 0, 4, 1, 2, 3, 1, 3, 0, 0, 2, 0, 4, 1, 0, 0, 1, 3, 2, 0, 2, 2, 3, 4, 0, 1, 2, 1, 2, 0, 2, 3, 2, 1, 3, 2, 2, 2, 2, 1, 2, 3, 4, 0, 2, 1, 3, 2, 0, 0, 0, 1, 2, 0, 2, 3, 4, 0, 3, 4, 3, 3, 0, 4, 4, 2, 0, 1, 0, 1, 3, 4, 3, 1, 4, 3, 1, 3, 0, 0, 2, 1, 2, 0, 3, 4, 3, 2, 1, 3, 2, 4, 4, 4, 1, 3, 2, 2, 1, 3, 0, 0, 3, 4, 3, 3, 4, 3, 3, 3, 1, 2, 3, 3, 2, 2, 3, 4, 4, 3, 1, 0, 0, 4, 4, 3, 0, 4, 0, 2, 0, 0, 0, 3, 1, 0, 4, 4, 0, 0, 1, 3, 2, 3, 4, 0, 4, 3, 4, 4, 2, 4, 0, 0, 0, 3, 4, 0, 0, 3, 1, 0, 4, 4, 1, 4, 2, 3, 3, 3, 0, 1, 4, 0, 4, 2, 1, 1, 2, 4, 0, 1, 3, 1, 3, 2, 2, 0, 4, 4, 1, 0, 2, 2, 0, 0, 2, 2, 4, 0, 3, 3, 4, 2, 2, 2, 1, 0]
pubkeycol819 = [4, 3, 4, 3, 2, 1, 3, 1, 4, 0, 1, 3, 2, 1, 2, 1, 4, 3, 2, 4, 2, 1, 2, 2, 3, 1, 1, 4, 0, 3, 0, 2, 4, 2, 3, 3, 1, 3, 2, 0, 0, 0, 3, 1, 3, 3, 2, 4, 0, 0, 1, 3, 0, 0, 3, 1, 0, 2, 3, 4, 2, 1, 3, 3, 2, 0, 3, 3, 2, 0, 1, 0, 4, 0, 2, 0, 1, 2, 4, 1, 1, 3, 4, 2, 2, 3, 0, 2, 2, 2, 3, 4, 0, 1, 0, 1, 1, 0, 1, 3, 2, 2, 4, 4, 0, 1, 3, 0, 1, 0, 0, 1, 2, 0, 2, 3, 1, 3, 4, 2, 3, 2, 4, 3, 2, 4, 2, 0, 0, 3, 0, 4, 2, 3, 2, 0, 4, 2, 1, 2, 4, 0, 3, 2, 0, 1, 3, 3, 4, 0, 4, 4, 0, 4, 4, 0, 1, 4, 0, 4, 4, 1, 1, 1, 1, 2, 4, 1, 1, 4, 3, 1, 0, 4, 4, 1, 4, 3, 1, 1, 0, 2, 3, 4, 4, 2, 4, 4, 4, 4, 1, 2, 0, 3, 3, 1, 0, 0, 0, 3, 0, 4, 0, 2, 0, 2, 3, 0, 0, 3, 1, 0, 3, 0, 4, 0, 3, 2, 3, 0, 1, 3, 0, 0, 2, 1, 0, 1, 3, 3, 1, 0, 0, 0, 0, 4, 1, 1, 2, 2, 4, 2, 3, 4, 3, 4, 4, 4, 1, 1, 0, 3, 4, 0, 4, 1, 1, 1, 2, 3, 3, 2, 1, 2, 2, 1, 2, 1, 0, 3, 4, 3, 0, 2, 1, 3, 1, 0, 3, 3, 0, 3, 3, 0, 4, 1, 4, 0, 4, 0, 4, 2, 3, 1, 4, 3, 1, 3, 4, 0, 2, 2, 1, 1, 1, 2, 4, 4, 4, 3, 3, 0, 1, 1, 2, 1, 0, 0, 4, 3, 1, 3, 4, 0, 4, 2, 0, 1, 4, 1, 3, 1, 1, 0, 0, 1, 0, 2, 2, 0, 3, 0, 3, 2, 2, 1, 0, 4, 3, 2, 4, 2, 0, 3, 3, 0, 0, 0, 3, 2, 2, 2, 4, 2, 3, 2, 3, 1, 1, 0, 3, 1, 1, 2, 3, 4, 3, 3, 1, 1, 4, 4, 3, 4, 4, 0, 3, 4, 3, 3, 1, 1, 2, 3, 3, 1, 3, 1, 3, 1]
pubkeycol820 = [0, 3, 0, 0, 4, 1, 1, 4, 0, 2, 2, 3, 3, 4, 2, 3, 3, 1, 1, 0, 4, 0, 3, 2, 4, 4, 0, 0, 3, 4, 4, 4, 0, 4, 0, 4, 0, 2, 2, 2, 4, 1, 3, 3, 2, 4, 0, 4, 1, 3, 2, 4, 0, 2, 4, 1, 4, 2, 3, 1, 2, 3, 0, 3, 2, 4, 4, 0, 2, 4, 4, 3, 0, 0, 3, 3, 3, 3, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 4, 4, 2, 2, 4, 1, 1, 2, 4, 2, 1, 3, 3, 3, 2, 4, 1, 4, 4, 3, 4, 3, 4, 0, 4, 2, 1, 0, 2, 4, 3, 2, 0, 2, 2, 2, 0, 2, 3, 2, 0, 2, 1, 3, 1, 3, 2, 4, 3, 0, 0, 3, 2, 0, 2, 2, 0, 4, 3, 2, 4, 2, 4, 1, 2, 3, 1, 3, 4, 2, 2, 4, 4, 2, 0, 3, 2, 2, 2, 0, 0, 2, 2, 2, 2, 4, 3, 2, 0, 2, 1, 2, 2, 1, 3, 2, 0, 4, 1, 1, 3, 0, 0, 3, 0, 0, 1, 4, 0, 2, 3, 2, 2, 0, 3, 3, 1, 1, 2, 2, 4, 1, 4, 1, 3, 4, 4, 1, 0, 2, 4, 4, 1, 1, 2, 0, 1, 3, 1, 1, 4, 3, 2, 1, 0, 2, 3, 1, 1, 2, 1, 1, 4, 0, 0, 3, 1, 1, 3, 2, 2, 4, 3, 2, 1, 4, 1, 1, 2, 4, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 4, 3, 3, 3, 2, 1, 2, 4, 0, 0, 4, 3, 2, 0, 3, 4, 4, 0, 3, 0, 3, 2, 2, 4, 4, 2, 4, 3, 1, 0, 3, 3, 3, 3, 3, 0, 2, 2, 3, 1, 2, 2, 4, 0, 1, 3, 2, 1, 4, 0, 3, 2, 3, 3, 4, 1, 2, 2, 4, 1, 3, 3, 2, 4, 3, 2, 0, 0, 0, 2, 0, 0, 0, 3, 2, 1, 4, 1, 1, 3, 2, 2, 0, 4, 4, 4, 3, 4, 2, 2, 2, 2, 4, 2, 3, 0, 0, 2, 0, 4, 3, 0, 4, 3, 4, 0, 0, 1, 2, 3, 2, 2, 1, 4, 4, 0, 3, 2, 4, 4, 0, 4, 1, 0, 1, 2, 1, 0, 4]
pubkeycol821 = [2, 3, 2, 0, 0, 4, 4, 2, 1, 0, 1, 0, 4, 4, 1, 3, 0, 0, 1, 2, 3, 4, 3, 0, 2, 4, 2, 3, 3, 1, 1, 3, 1, 4, 2, 3, 4, 3, 4, 3, 0, 4, 4, 2, 1, 0, 2, 3, 2, 0, 2, 1, 3, 3, 1, 0, 1, 1, 3, 1, 1, 2, 1, 4, 2, 4, 3, 3, 4, 1, 2, 1, 3, 2, 3, 4, 3, 1, 2, 4, 4, 0, 1, 0, 1, 3, 2, 2, 0, 2, 0, 4, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 4, 0, 2, 1, 0, 4, 2, 1, 3, 0, 4, 2, 4, 2, 2, 1, 2, 0, 3, 3, 1, 1, 4, 0, 0, 1, 3, 3, 4, 0, 3, 1, 1, 2, 1, 0, 0, 3, 3, 1, 1, 0, 2, 0, 4, 1, 1, 0, 4, 1, 1, 4, 3, 3, 3, 4, 2, 0, 0, 4, 1, 2, 3, 0, 3, 1, 0, 3, 0, 4, 4, 4, 1, 0, 1, 0, 4, 0, 1, 4, 4, 2, 4, 0, 0, 0, 3, 3, 3, 1, 1, 2, 4, 1, 0, 4, 1, 1, 3, 3, 1, 1, 1, 2, 2, 3, 2, 3, 1, 1, 3, 0, 2, 0, 4, 4, 1, 1, 2, 1, 3, 4, 1, 3, 4, 0, 2, 0, 3, 1, 3, 3, 1, 4, 4, 0, 1, 0, 1, 0, 4, 1, 4, 3, 0, 3, 1, 1, 2, 2, 4, 0, 2, 0, 4, 3, 4, 4, 3, 1, 2, 1, 0, 0, 0, 2, 0, 3, 0, 4, 1, 2, 3, 4, 4, 2, 4, 2, 1, 3, 0, 2, 0, 2, 1, 3, 3, 4, 1, 4, 3, 3, 0, 2, 2, 1, 4, 1, 3, 3, 1, 2, 4, 0, 3, 4, 1, 4, 4, 3, 3, 2, 3, 1, 0, 3, 0, 4, 3, 0, 3, 2, 4, 1, 3, 2, 1, 1, 4, 1, 3, 4, 0, 3, 1, 2, 4, 1, 4, 0, 3, 3, 0, 0, 1, 2, 4, 3, 2, 3, 3, 2, 2, 2, 4, 3, 4, 0, 0, 4, 2, 3, 1, 2, 2, 2, 0, 2, 3, 3, 1, 0, 2, 2, 1, 3, 3, 2, 2, 4, 1, 3, 1, 2, 2, 2, 3, 1, 4, 0, 1, 0, 0, 1, 1]
pubkeycol822 = [2, 0, 3, 2, 2, 2, 4, 0, 2, 1, 1, 2, 4, 0, 0, 2, 1, 0, 3, 4, 1, 1, 4, 2, 2, 0, 4, 1, 1, 1, 1, 2, 2, 4, 0, 0, 3, 0, 2, 1, 4, 2, 3, 4, 3, 4, 1, 4, 2, 0, 2, 3, 1, 1, 4, 1, 0, 2, 1, 4, 3, 4, 0, 1, 3, 1, 4, 4, 3, 1, 3, 2, 2, 4, 2, 0, 4, 0, 3, 2, 1, 3, 1, 0, 2, 4, 4, 1, 2, 4, 0, 2, 2, 2, 2, 2, 0, 1, 3, 0, 4, 0, 0, 0, 4, 4, 3, 0, 2, 0, 4, 0, 0, 2, 3, 2, 4, 1, 2, 2, 2, 0, 3, 1, 1, 4, 2, 4, 3, 1, 2, 2, 1, 3, 4, 0, 1, 2, 4, 2, 1, 4, 2, 1, 4, 1, 0, 1, 4, 2, 2, 0, 3, 2, 4, 1, 0, 1, 3, 0, 0, 2, 1, 4, 2, 2, 1, 4, 1, 3, 0, 0, 3, 0, 4, 4, 3, 2, 3, 2, 3, 1, 4, 0, 0, 3, 3, 3, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 3, 0, 4, 4, 0, 4, 2, 2, 0, 3, 0, 1, 4, 0, 0, 2, 4, 3, 0, 4, 1, 0, 4, 0, 1, 1, 4, 1, 1, 1, 3, 2, 2, 0, 4, 1, 4, 4, 0, 0, 0, 0, 0, 2, 3, 2, 2, 0, 2, 4, 4, 0, 3, 4, 3, 2, 0, 4, 1, 4, 0, 2, 0, 3, 0, 3, 4, 3, 3, 4, 3, 0, 3, 4, 3, 4, 2, 2, 2, 4, 1, 0, 3, 3, 3, 2, 2, 1, 2, 0, 0, 1, 4, 4, 4, 0, 0, 4, 2, 1, 2, 1, 3, 2, 0, 1, 4, 3, 0, 3, 2, 2, 0, 1, 1, 2, 4, 1, 4, 1, 4, 2, 2, 4, 4, 3, 2, 1, 2, 1, 4, 2, 3, 3, 1, 0, 3, 4, 1, 2, 0, 4, 1, 3, 1, 3, 3, 1, 2, 3, 1, 4, 2, 4, 4, 3, 2, 2, 1, 3, 0, 4, 4, 1, 1, 2, 0, 0, 0, 4, 0, 2, 0, 1, 0, 1, 4, 0, 3, 4, 3, 3, 0, 2, 3, 1, 2, 1, 1, 0, 0, 3, 4, 1, 1, 4, 0, 1, 4, 3, 2]
pubkeycol823 = [0, 4, 1, 2, 2, 1, 3, 0, 3, 0, 3, 4, 4, 3, 2, 1, 2, 2, 3, 3, 0, 2, 4, 3, 1, 0, 3, 2, 1, 3, 1, 1, 1, 1, 2, 1, 2, 4, 2, 0, 3, 2, 4, 2, 3, 3, 1, 0, 2, 2, 3, 1, 2, 1, 3, 0, 0, 4, 1, 0, 1, 0, 0, 4, 0, 4, 1, 3, 3, 0, 0, 0, 0, 1, 2, 0, 4, 0, 2, 0, 0, 3, 2, 2, 0, 3, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 3, 4, 0, 3, 2, 1, 1, 4, 2, 0, 2, 2, 0, 4, 2, 2, 0, 3, 2, 0, 0, 3, 1, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, 1, 0, 0, 4, 3, 3, 1, 1, 3, 4, 3, 0, 2, 1, 4, 2, 4, 2, 0, 3, 4, 0, 2, 3, 3, 4, 1, 3, 4, 4, 3, 0, 3, 4, 3, 0, 2, 3, 1, 2, 3, 3, 3, 2, 1, 4, 0, 0, 1, 2, 1, 2, 1, 3, 2, 1, 3, 3, 0, 1, 1, 3, 0, 3, 4, 3, 4, 4, 2, 1, 1, 0, 3, 4, 1, 4, 2, 0, 3, 3, 2, 1, 0, 2, 3, 4, 4, 2, 1, 4, 1, 4, 3, 3, 0, 2, 1, 0, 4, 1, 4, 2, 2, 3, 1, 2, 4, 0, 2, 4, 0, 2, 2, 0, 0, 3, 4, 2, 2, 0, 2, 0, 4, 4, 0, 4, 0, 4, 0, 0, 3, 2, 3, 2, 4, 0, 3, 1, 3, 2, 0, 0, 1, 2, 4, 3, 1, 1, 1, 0, 3, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 3, 0, 3, 0, 2, 1, 1, 1, 0, 2, 1, 3, 1, 3, 4, 1, 0, 1, 2, 4, 2, 1, 2, 3, 2, 0, 2, 4, 0, 0, 1, 4, 1, 2, 2, 2, 1, 0, 3, 4, 0, 2, 0, 4, 1, 4, 3, 3, 3, 1, 0, 0, 4, 3, 1, 0, 0, 4, 0, 1, 1, 0, 4, 1, 4, 4, 4, 4, 3, 0, 2, 2, 0, 0, 1, 0, 3, 2, 2, 3, 2, 2, 2, 4, 2, 2, 1, 0, 1, 2, 4, 1, 1, 4, 3, 1, 2, 2, 1, 4, 1, 4, 3, 0, 3, 1, 4, 4, 3]
pubkeycol824 = [3, 2, 1, 4, 1, 1, 1, 3, 0, 0, 0, 0, 2, 0, 4, 3, 3, 2, 2, 4, 2, 1, 0, 0, 1, 0, 0, 1, 3, 3, 4, 4, 0, 4, 4, 2, 0, 1, 0, 3, 4, 4, 2, 2, 0, 1, 0, 2, 0, 0, 4, 0, 3, 4, 3, 3, 3, 0, 4, 4, 4, 3, 2, 3, 4, 4, 1, 2, 3, 0, 2, 3, 1, 1, 1, 0, 2, 1, 1, 2, 4, 3, 0, 1, 1, 2, 4, 4, 0, 3, 2, 2, 0, 0, 4, 3, 0, 2, 1, 4, 2, 1, 4, 0, 3, 1, 0, 0, 2, 2, 0, 2, 3, 1, 0, 4, 3, 2, 2, 4, 4, 3, 4, 3, 4, 1, 3, 3, 0, 3, 1, 1, 1, 4, 4, 0, 3, 1, 0, 0, 0, 0, 0, 4, 2, 1, 3, 0, 4, 1, 2, 1, 2, 2, 3, 0, 4, 0, 4, 4, 3, 4, 0, 3, 3, 3, 4, 2, 3, 4, 4, 1, 0, 3, 2, 0, 2, 3, 0, 1, 0, 1, 0, 4, 1, 1, 2, 3, 0, 4, 0, 4, 2, 3, 1, 4, 0, 3, 3, 2, 4, 0, 2, 0, 3, 3, 3, 1, 0, 3, 1, 0, 1, 0, 4, 4, 1, 3, 4, 2, 0, 0, 1, 0, 3, 0, 3, 2, 1, 2, 1, 2, 0, 3, 3, 1, 4, 1, 1, 1, 2, 3, 0, 1, 3, 4, 0, 1, 1, 4, 0, 4, 2, 1, 1, 3, 1, 1, 0, 2, 1, 2, 0, 3, 1, 2, 4, 2, 3, 1, 2, 4, 0, 1, 0, 3, 0, 2, 4, 2, 0, 0, 0, 0, 2, 3, 3, 0, 2, 0, 1, 4, 0, 3, 1, 1, 0, 4, 2, 3, 4, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 3, 1, 3, 2, 0, 0, 3, 3, 2, 3, 2, 2, 0, 2, 0, 3, 0, 3, 1, 0, 0, 0, 1, 2, 2, 3, 0, 3, 1, 2, 1, 2, 3, 4, 0, 3, 4, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 4, 1, 3, 2, 2, 0, 2, 2, 4, 0, 0, 2, 1, 1, 1, 2, 3, 3, 1, 4, 1, 2, 1, 2, 3, 0, 3, 3, 4, 3, 3, 0, 3, 4, 4]
pubkeycol825 = [0, 3, 2, 0, 3, 0, 4, 2, 2, 0, 4, 2, 0, 2, 2, 3, 1, 1, 3, 1, 4, 1, 0, 4, 0, 0, 4, 4, 2, 1, 0, 0, 2, 3, 2, 1, 4, 3, 0, 1, 3, 1, 0, 0, 0, 3, 2, 3, 0, 1, 2, 4, 4, 0, 0, 2, 3, 3, 2, 1, 0, 0, 4, 4, 3, 3, 0, 0, 2, 2, 4, 2, 4, 1, 0, 2, 1, 3, 0, 2, 4, 2, 2, 2, 2, 0, 4, 2, 0, 1, 3, 4, 0, 1, 1, 2, 3, 2, 3, 4, 3, 0, 0, 1, 0, 0, 0, 4, 0, 2, 1, 4, 1, 4, 1, 2, 0, 3, 1, 2, 0, 3, 3, 3, 2, 1, 0, 3, 3, 3, 0, 2, 4, 3, 3, 0, 3, 3, 4, 0, 0, 0, 2, 2, 3, 3, 3, 4, 4, 0, 0, 4, 0, 0, 3, 0, 4, 3, 2, 1, 1, 4, 0, 4, 4, 0, 3, 4, 0, 0, 0, 2, 3, 4, 1, 3, 1, 0, 2, 4, 4, 1, 4, 4, 3, 0, 2, 3, 1, 4, 2, 4, 1, 3, 2, 3, 1, 0, 0, 0, 3, 3, 4, 3, 4, 1, 3, 1, 4, 4, 0, 2, 3, 4, 3, 4, 4, 4, 3, 3, 1, 2, 4, 4, 4, 2, 0, 3, 0, 3, 0, 0, 1, 2, 3, 4, 1, 2, 0, 1, 0, 1, 1, 3, 0, 0, 1, 2, 4, 0, 0, 2, 4, 3, 2, 0, 4, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 4, 1, 0, 2, 2, 2, 0, 4, 0, 0, 4, 1, 3, 1, 3, 3, 4, 1, 4, 2, 3, 0, 0, 1, 0, 0, 3, 1, 2, 0, 3, 0, 1, 2, 1, 2, 0, 3, 0, 1, 3, 2, 0, 0, 0, 0, 0, 2, 1, 2, 4, 1, 2, 4, 4, 2, 3, 2, 4, 2, 1, 4, 4, 2, 1, 0, 3, 1, 0, 4, 0, 1, 4, 3, 2, 0, 3, 1, 0, 0, 4, 0, 2, 4, 2, 2, 3, 0, 0, 2, 0, 3, 1, 4, 1, 3, 3, 2, 4, 4, 0, 1, 1, 3, 0, 3, 4, 4, 1, 4, 2, 3, 4, 4, 4, 1, 4, 2, 0, 4, 1, 1, 1, 1, 4, 1, 1, 4]
pubkeycol826 = [3, 4, 0, 4, 1, 0, 2, 0, 2, 3, 4, 4, 0, 0, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 1, 3, 1, 3, 1, 4, 4, 1, 1, 3, 1, 1, 3, 0, 3, 3, 1, 2, 3, 1, 0, 1, 3, 2, 0, 4, 4, 2, 4, 4, 1, 3, 1, 4, 2, 3, 4, 4, 3, 1, 2, 0, 3, 2, 1, 2, 1, 0, 2, 0, 2, 1, 3, 3, 4, 0, 0, 1, 0, 1, 1, 2, 2, 0, 4, 2, 3, 1, 0, 1, 0, 1, 0, 2, 4, 1, 3, 4, 0, 4, 1, 2, 0, 2, 1, 2, 2, 4, 0, 2, 4, 3, 4, 3, 1, 4, 1, 2, 4, 2, 4, 2, 4, 3, 1, 3, 3, 1, 0, 4, 3, 4, 2, 0, 2, 3, 3, 4, 0, 1, 1, 0, 2, 2, 2, 1, 0, 3, 4, 1, 0, 2, 3, 0, 4, 4, 0, 2, 1, 2, 1, 1, 3, 2, 3, 2, 4, 1, 0, 0, 1, 1, 3, 3, 1, 3, 1, 2, 0, 2, 2, 3, 0, 2, 1, 1, 4, 0, 0, 0, 4, 2, 0, 4, 0, 3, 3, 1, 3, 2, 1, 1, 1, 1, 2, 2, 1, 4, 3, 2, 0, 4, 0, 4, 3, 2, 3, 3, 3, 3, 1, 2, 1, 1, 1, 2, 4, 1, 0, 3, 0, 4, 4, 4, 4, 4, 2, 2, 1, 3, 0, 4, 3, 1, 3, 2, 3, 2, 0, 0, 0, 3, 0, 0, 3, 4, 1, 1, 3, 1, 3, 2, 0, 2, 4, 4, 1, 4, 4, 1, 3, 1, 1, 4, 0, 1, 4, 1, 1, 4, 2, 3, 3, 4, 3, 3, 0, 3, 2, 2, 0, 1, 1, 1, 1, 1, 2, 4, 4, 0, 3, 1, 0, 2, 0, 4, 1, 4, 0, 0, 3, 4, 2, 2, 0, 0, 4, 4, 2, 3, 0, 3, 2, 0, 0, 2, 4, 2, 2, 3, 1, 4, 2, 1, 3, 4, 2, 3, 2, 0, 0, 1, 1, 0, 3, 4, 1, 2, 2, 1, 1, 3, 2, 1, 1, 0, 1, 2, 0, 1, 2, 4, 4, 1, 0, 2, 1, 2, 3, 2, 0, 1, 4, 4, 0, 1, 0, 0, 4, 3, 1, 2, 1, 3, 3, 1, 0, 0, 1, 1, 4, 1, 4, 2, 0, 0]
pubkeycol827 = [3, 4, 1, 0, 1, 2, 0, 4, 1, 0, 0, 3, 1, 3, 0, 3, 2, 3, 0, 4, 4, 0, 2, 2, 0, 1, 1, 3, 3, 4, 4, 1, 4, 1, 0, 1, 1, 3, 0, 0, 3, 4, 3, 3, 3, 4, 2, 0, 4, 2, 4, 3, 2, 0, 2, 1, 0, 0, 2, 1, 4, 0, 4, 0, 2, 4, 2, 1, 0, 3, 2, 4, 3, 1, 3, 0, 4, 0, 1, 3, 1, 0, 2, 4, 2, 3, 4, 4, 0, 1, 1, 4, 1, 3, 0, 3, 2, 0, 2, 1, 4, 2, 2, 1, 3, 4, 2, 0, 2, 3, 3, 1, 3, 2, 1, 0, 1, 3, 1, 3, 4, 2, 4, 1, 4, 3, 3, 3, 3, 3, 1, 1, 0, 2, 2, 0, 4, 3, 4, 4, 2, 2, 2, 2, 1, 1, 2, 3, 0, 2, 4, 0, 0, 0, 3, 4, 1, 2, 4, 1, 1, 1, 3, 1, 1, 0, 0, 4, 3, 4, 1, 0, 1, 4, 2, 1, 0, 0, 0, 0, 2, 1, 4, 0, 3, 4, 4, 2, 3, 1, 1, 1, 0, 0, 4, 4, 1, 0, 0, 2, 3, 4, 2, 3, 0, 4, 2, 3, 2, 1, 2, 1, 3, 0, 1, 0, 0, 1, 2, 2, 4, 3, 1, 3, 3, 0, 3, 3, 1, 3, 0, 0, 3, 3, 0, 1, 4, 0, 4, 3, 1, 2, 2, 3, 0, 1, 3, 4, 2, 4, 3, 1, 0, 3, 2, 4, 4, 0, 1, 1, 2, 4, 4, 2, 0, 0, 4, 3, 1, 1, 1, 1, 3, 3, 3, 4, 3, 4, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 4, 3, 3, 4, 1, 4, 2, 0, 4, 3, 4, 4, 2, 2, 1, 1, 1, 0, 0, 4, 0, 2, 2, 0, 4, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 3, 4, 3, 0, 0, 0, 4, 3, 0, 4, 0, 3, 3, 3, 2, 0, 2, 2, 0, 1, 4, 2, 1, 2, 1, 0, 4, 4, 0, 1, 0, 0, 0, 0, 4, 4, 4, 0, 4, 1, 2, 2, 3, 0, 0, 1, 0, 1, 4, 1, 0, 1, 1, 3, 0, 3, 1, 4, 2, 1, 3, 4, 2, 0, 3, 4, 2, 4, 1, 2, 4, 4, 1, 4, 3]
pubkeycol828 = [4, 2, 3, 1, 2, 2, 1, 4, 2, 0, 3, 1, 3, 4, 0, 0, 3, 1, 3, 2, 1, 2, 1, 3, 1, 2, 3, 3, 4, 1, 4, 2, 2, 2, 4, 0, 4, 4, 1, 1, 0, 4, 3, 1, 2, 2, 0, 1, 3, 1, 4, 0, 1, 3, 3, 4, 2, 3, 0, 0, 2, 0, 3, 2, 3, 4, 0, 3, 3, 4, 4, 4, 0, 2, 4, 1, 4, 3, 2, 1, 1, 4, 3, 1, 0, 1, 4, 0, 3, 1, 3, 0, 4, 1, 1, 0, 1, 4, 3, 3, 0, 0, 0, 2, 3, 1, 1, 0, 4, 1, 2, 2, 3, 1, 2, 4, 1, 2, 3, 1, 3, 1, 0, 2, 4, 2, 2, 0, 3, 1, 0, 1, 0, 3, 3, 3, 1, 3, 4, 1, 3, 0, 4, 4, 0, 3, 3, 2, 1, 0, 4, 3, 3, 4, 0, 3, 3, 3, 4, 4, 4, 4, 0, 1, 4, 0, 0, 3, 4, 1, 4, 1, 0, 1, 1, 4, 2, 0, 3, 0, 1, 3, 2, 0, 1, 0, 1, 2, 2, 0, 3, 2, 3, 1, 0, 4, 4, 3, 1, 1, 3, 1, 2, 0, 0, 1, 3, 1, 3, 1, 1, 0, 3, 4, 0, 2, 3, 1, 1, 2, 1, 3, 3, 3, 2, 2, 2, 1, 4, 1, 2, 3, 1, 4, 3, 0, 4, 3, 4, 4, 1, 1, 3, 4, 1, 0, 0, 4, 0, 3, 0, 2, 2, 1, 3, 2, 4, 0, 2, 4, 4, 1, 2, 3, 1, 0, 0, 1, 1, 0, 3, 4, 4, 1, 2, 0, 0, 4, 0, 1, 0, 4, 0, 3, 2, 0, 3, 1, 3, 1, 3, 3, 0, 0, 0, 4, 2, 3, 1, 0, 1, 1, 2, 0, 3, 4, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 3, 3, 3, 3, 2, 4, 3, 0, 3, 3, 0, 0, 4, 2, 2, 3, 1, 3, 0, 1, 0, 3, 1, 3, 4, 2, 3, 0, 4, 1, 4, 4, 1, 0, 3, 0, 0, 4, 1, 4, 4, 2, 0, 4, 3, 4, 2, 3, 4, 1, 1, 2, 0, 1, 0, 3, 0, 0, 4, 3, 4, 0, 0, 0, 3, 2, 3, 3, 2, 0, 2, 3, 4, 3, 0, 0, 3, 3, 3, 0, 4, 3, 2]
pubkeycol829 = [2, 1, 0, 3, 3, 2, 1, 3, 4, 3, 3, 2, 4, 0, 4, 1, 0, 0, 4, 2, 2, 0, 0, 0, 1, 3, 3, 1, 4, 0, 2, 2, 1, 2, 3, 3, 0, 2, 2, 0, 4, 2, 4, 3, 0, 4, 2, 3, 0, 2, 4, 4, 0, 2, 2, 0, 1, 4, 2, 3, 3, 3, 4, 4, 0, 4, 1, 4, 2, 4, 3, 0, 0, 3, 3, 1, 0, 3, 2, 1, 2, 3, 2, 1, 0, 0, 2, 2, 2, 3, 0, 3, 3, 3, 2, 1, 4, 4, 1, 2, 0, 2, 3, 4, 0, 0, 3, 3, 2, 4, 1, 1, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 4, 1, 2, 3, 4, 2, 3, 0, 1, 1, 0, 1, 2, 4, 1, 4, 0, 0, 3, 1, 0, 1, 4, 1, 3, 0, 2, 0, 1, 1, 0, 1, 1, 0, 3, 3, 0, 4, 3, 0, 3, 1, 4, 3, 1, 3, 1, 1, 2, 1, 3, 4, 2, 3, 4, 2, 1, 1, 2, 2, 2, 3, 3, 4, 4, 2, 2, 2, 1, 1, 2, 3, 3, 4, 4, 3, 0, 3, 0, 0, 0, 2, 0, 4, 2, 3, 1, 0, 3, 2, 3, 0, 3, 0, 2, 3, 2, 0, 0, 1, 1, 3, 1, 2, 0, 0, 1, 4, 3, 0, 2, 0, 4, 3, 0, 4, 1, 1, 2, 4, 2, 3, 4, 4, 1, 4, 4, 2, 2, 3, 2, 4, 4, 4, 1, 0, 0, 2, 1, 2, 2, 2, 3, 4, 0, 2, 1, 3, 0, 2, 3, 4, 4, 4, 2, 1, 1, 2, 2, 1, 2, 3, 2, 3, 2, 3, 1, 4, 1, 1, 2, 3, 3, 3, 4, 3, 2, 4, 0, 4, 3, 2, 1, 1, 2, 3, 4, 2, 3, 1, 1, 0, 3, 1, 1, 4, 3, 4, 0, 0, 4, 1, 1, 2, 3, 1, 4, 4, 2, 4, 0, 3, 4, 0, 2, 4, 2, 3, 2, 0, 4, 2, 2, 1, 2, 4, 2, 1, 4, 2, 2, 1, 1, 1, 4, 3, 2, 0, 1, 1, 1, 4, 2, 3, 4, 2, 4, 1, 2, 0, 4, 3, 1, 4, 3, 2, 1, 4, 3, 0, 2, 0, 4, 1, 3, 0, 4, 1, 4, 1, 4, 2, 0, 0, 2, 0, 0, 2]
pubkeycol830 = [1, 0, 1, 2, 2, 3, 2, 3, 2, 4, 3, 4, 4, 0, 3, 4, 1, 4, 1, 0, 0, 1, 3, 3, 4, 0, 2, 3, 1, 2, 0, 1, 3, 2, 0, 2, 2, 4, 3, 2, 0, 4, 2, 3, 4, 4, 4, 2, 4, 4, 1, 4, 1, 4, 2, 4, 3, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 3, 0, 4, 0, 0, 4, 2, 2, 2, 0, 1, 1, 2, 3, 1, 4, 2, 2, 4, 4, 0, 3, 0, 1, 2, 1, 4, 2, 3, 1, 1, 1, 4, 3, 1, 4, 4, 4, 1, 0, 1, 3, 0, 0, 2, 2, 0, 4, 4, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 1, 2, 4, 2, 2, 0, 2, 4, 4, 4, 3, 3, 0, 1, 0, 1, 4, 0, 4, 2, 4, 0, 3, 4, 0, 1, 4, 4, 4, 4, 3, 3, 4, 2, 4, 1, 2, 3, 4, 2, 1, 3, 1, 1, 3, 3, 1, 1, 0, 3, 1, 3, 0, 1, 1, 4, 4, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 3, 2, 3, 4, 4, 2, 4, 2, 2, 1, 3, 3, 0, 3, 0, 4, 2, 0, 3, 4, 2, 0, 0, 1, 0, 4, 2, 2, 0, 4, 2, 4, 0, 0, 3, 2, 4, 0, 0, 1, 1, 2, 4, 2, 2, 3, 3, 4, 3, 0, 2, 1, 1, 3, 1, 0, 3, 4, 3, 4, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 3, 0, 1, 3, 1, 1, 3, 0, 1, 0, 2, 1, 1, 4, 1, 0, 2, 2, 3, 1, 1, 0, 0, 0, 1, 3, 3, 3, 2, 0, 0, 0, 4, 2, 1, 4, 1, 1, 1, 3, 0, 0, 4, 2, 3, 4, 2, 4, 1, 1, 0, 3, 2, 3, 0, 1, 4, 1, 2, 1, 4, 3, 3, 4, 3, 4, 3, 4, 3, 4, 2, 2, 1, 3, 3, 1, 4, 4, 4, 1, 4, 3, 1, 3, 2, 2, 4, 3, 0, 2, 4, 1, 0, 1, 2, 3, 2, 0, 0, 1, 4, 0, 0, 0, 3, 3, 0, 3, 4, 1, 2, 0, 4, 2, 1, 2, 4, 2, 0, 4, 1, 4, 1, 0, 1, 2, 4, 2, 3, 2, 2, 3, 1, 4, 1, 3]
pubkeycol831 = [4, 1, 0, 2, 1, 3, 3, 3, 4, 0, 2, 1, 3, 4, 4, 1, 1, 3, 2, 2, 4, 4, 2, 3, 3, 0, 2, 1, 0, 3, 4, 3, 2, 4, 2, 3, 4, 1, 0, 3, 2, 1, 3, 4, 4, 0, 4, 1, 2, 1, 0, 0, 1, 1, 4, 3, 4, 3, 2, 4, 1, 4, 3, 3, 3, 4, 3, 1, 4, 3, 1, 0, 2, 3, 3, 4, 4, 4, 1, 4, 4, 3, 0, 3, 3, 2, 3, 0, 1, 1, 1, 3, 1, 2, 0, 2, 1, 4, 2, 1, 3, 0, 0, 2, 1, 4, 0, 1, 1, 1, 4, 4, 2, 1, 1, 4, 3, 4, 3, 0, 3, 0, 4, 2, 2, 4, 1, 2, 2, 0, 0, 4, 2, 3, 3, 1, 4, 2, 3, 4, 4, 2, 4, 2, 1, 4, 1, 3, 2, 3, 4, 1, 3, 1, 1, 1, 0, 0, 1, 4, 0, 1, 3, 4, 4, 1, 2, 0, 2, 4, 1, 0, 2, 1, 0, 0, 2, 4, 1, 2, 0, 2, 1, 2, 2, 3, 0, 0, 0, 1, 3, 2, 2, 2, 3, 2, 0, 1, 0, 2, 1, 2, 4, 0, 3, 3, 1, 0, 2, 3, 4, 0, 3, 4, 0, 2, 1, 4, 4, 4, 0, 1, 2, 4, 3, 0, 4, 1, 1, 2, 0, 3, 3, 4, 4, 0, 1, 1, 1, 3, 4, 4, 0, 1, 0, 1, 3, 2, 1, 1, 1, 4, 1, 3, 2, 2, 4, 4, 3, 2, 4, 2, 1, 3, 4, 2, 4, 4, 1, 1, 4, 0, 3, 1, 1, 2, 4, 4, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 4, 0, 2, 0, 4, 2, 2, 1, 2, 4, 4, 1, 3, 4, 1, 1, 3, 3, 1, 1, 3, 0, 2, 2, 3, 1, 4, 0, 4, 3, 0, 0, 4, 3, 4, 4, 1, 0, 4, 4, 2, 0, 1, 2, 3, 3, 1, 4, 0, 1, 0, 4, 0, 4, 2, 1, 3, 3, 3, 3, 2, 1, 3, 1, 3, 4, 0, 0, 0, 2, 3, 2, 3, 3, 3, 0, 1, 4, 3, 0, 2, 4, 0, 2, 4, 3, 4, 1, 2, 3, 1, 2, 3, 0, 2, 3, 1, 1, 2, 1, 4, 2, 0, 1, 1, 2, 0, 3]
pubkeycol832 = [0, 1, 4, 0, 4, 0, 2, 1, 0, 1, 4, 4, 4, 2, 3, 3, 2, 3, 1, 4, 4, 1, 4, 0, 2, 1, 3, 0, 0, 2, 3, 3, 1, 2, 1, 1, 0, 1, 0, 2, 3, 4, 1, 0, 3, 1, 0, 3, 0, 1, 0, 2, 4, 4, 3, 0, 3, 4, 0, 4, 3, 2, 1, 4, 4, 0, 2, 2, 2, 4, 3, 0, 3, 2, 2, 3, 2, 4, 1, 0, 0, 1, 3, 4, 3, 4, 4, 0, 0, 1, 3, 0, 4, 3, 4, 3, 3, 3, 1, 3, 4, 0, 0, 3, 1, 3, 1, 4, 0, 3, 3, 2, 2, 0, 1, 3, 1, 2, 2, 1, 0, 0, 4, 0, 2, 2, 3, 3, 3, 1, 0, 2, 1, 2, 1, 1, 0, 4, 1, 3, 2, 1, 4, 3, 0, 2, 4, 4, 0, 2, 3, 4, 2, 4, 4, 0, 1, 3, 0, 4, 3, 4, 0, 0, 2, 0, 4, 4, 3, 1, 1, 3, 2, 1, 4, 4, 1, 0, 4, 2, 2, 1, 4, 4, 0, 3, 2, 4, 2, 0, 2, 1, 4, 0, 0, 2, 2, 2, 3, 0, 2, 2, 4, 4, 2, 3, 3, 4, 4, 0, 4, 2, 2, 1, 3, 0, 3, 1, 1, 3, 3, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 3, 0, 2, 2, 2, 1, 3, 2, 4, 1, 4, 3, 0, 0, 0, 1, 2, 2, 0, 4, 4, 4, 4, 1, 3, 4, 4, 2, 4, 4, 4, 3, 4, 0, 4, 2, 2, 0, 0, 0, 4, 4, 3, 4, 3, 2, 1, 3, 1, 0, 0, 4, 3, 0, 3, 1, 3, 1, 0, 1, 0, 3, 2, 2, 3, 0, 1, 1, 4, 3, 2, 3, 0, 1, 4, 0, 2, 1, 1, 1, 3, 4, 2, 3, 3, 2, 2, 1, 3, 0, 0, 0, 2, 3, 4, 0, 4, 2, 0, 2, 3, 1, 4, 2, 2, 4, 3, 1, 0, 3, 4, 2, 3, 4, 2, 1, 4, 2, 1, 0, 2, 1, 2, 4, 3, 0, 0, 4, 4, 1, 0, 4, 3, 1, 1, 3, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 4, 2, 4, 2, 4, 3, 0, 2, 4, 0, 2, 3, 3, 0, 3, 0, 0]
pubkeycol833 = [1, 4, 1, 3, 2, 2, 2, 0, 1, 0, 0, 4, 4, 3, 4, 3, 4, 3, 4, 4, 2, 1, 0, 4, 0, 1, 4, 4, 0, 4, 0, 0, 1, 2, 0, 2, 2, 4, 3, 1, 2, 0, 1, 4, 3, 0, 4, 0, 0, 4, 2, 3, 4, 2, 0, 0, 2, 3, 1, 4, 3, 4, 0, 3, 0, 2, 4, 2, 1, 4, 3, 2, 3, 3, 3, 0, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 3, 1, 0, 4, 2, 0, 1, 2, 3, 0, 2, 4, 4, 1, 1, 2, 3, 2, 0, 3, 0, 4, 3, 4, 0, 2, 2, 2, 0, 1, 4, 4, 4, 0, 0, 3, 1, 2, 3, 4, 4, 1, 4, 0, 3, 0, 1, 2, 1, 1, 3, 3, 3, 4, 3, 2, 4, 0, 3, 0, 2, 4, 3, 1, 3, 4, 1, 0, 4, 4, 3, 0, 1, 3, 1, 0, 1, 2, 1, 0, 4, 3, 2, 1, 1, 0, 3, 0, 4, 3, 4, 4, 2, 2, 3, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 4, 3, 3, 0, 4, 3, 3, 0, 1, 4, 4, 4, 4, 4, 0, 3, 0, 0, 4, 1, 0, 2, 2, 4, 2, 4, 4, 3, 2, 0, 1, 0, 1, 3, 1, 4, 1, 0, 0, 3, 3, 4, 0, 2, 4, 0, 3, 0, 2, 2, 1, 4, 4, 1, 0, 1, 3, 4, 0, 3, 0, 2, 1, 0, 1, 4, 2, 2, 2, 2, 0, 1, 1, 4, 0, 2, 0, 2, 0, 4, 2, 0, 2, 0, 4, 2, 4, 4, 1, 0, 4, 0, 0, 3, 0, 2, 0, 4, 0, 4, 3, 3, 2, 3, 3, 3, 4, 0, 0, 4, 4, 2, 3, 3, 0, 4, 1, 1, 4, 0, 1, 0, 1, 4, 2, 4, 2, 0, 1, 2, 0, 1, 4, 3, 4, 1, 4, 1, 0, 1, 1, 2, 4, 2, 3, 4, 1, 2, 4, 4, 4, 1, 0, 4, 3, 0, 4, 0, 1, 4, 2, 3, 3, 4, 2, 2, 2, 0, 3, 0, 3, 2, 4, 4, 2, 4, 1, 1, 4, 4, 1, 4, 2, 4, 4, 2, 2, 3, 1, 3, 1, 2, 4, 4, 2, 2, 3, 2, 2, 2, 0, 4, 3, 2, 0, 1, 4]
pubkeycol834 = [2, 3, 2, 0, 1, 2, 3, 0, 0, 0, 3, 2, 1, 2, 2, 0, 3, 1, 1, 0, 1, 2, 0, 2, 3, 1, 2, 0, 3, 1, 1, 2, 0, 4, 2, 4, 1, 0, 1, 0, 2, 1, 2, 4, 3, 3, 1, 1, 1, 4, 0, 1, 2, 2, 0, 2, 1, 3, 2, 3, 0, 2, 4, 3, 2, 4, 0, 4, 2, 1, 1, 1, 2, 0, 3, 3, 3, 4, 2, 1, 1, 4, 4, 1, 4, 2, 1, 3, 3, 1, 3, 0, 3, 2, 1, 0, 1, 2, 1, 3, 4, 4, 0, 1, 4, 4, 3, 3, 2, 0, 3, 1, 3, 3, 4, 3, 4, 2, 4, 0, 0, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 3, 4, 1, 2, 1, 0, 0, 2, 4, 0, 3, 3, 1, 4, 3, 4, 4, 1, 0, 0, 4, 1, 3, 3, 3, 4, 2, 3, 0, 3, 4, 2, 2, 4, 3, 3, 4, 0, 2, 0, 3, 4, 0, 3, 2, 0, 4, 1, 2, 0, 4, 1, 1, 3, 0, 2, 3, 2, 4, 1, 0, 4, 1, 2, 2, 1, 0, 2, 0, 3, 3, 3, 1, 4, 3, 0, 1, 1, 2, 4, 0, 1, 3, 2, 3, 3, 3, 0, 3, 1, 2, 4, 0, 2, 2, 3, 2, 0, 4, 2, 0, 0, 3, 1, 0, 0, 1, 2, 1, 4, 2, 3, 1, 4, 4, 4, 4, 2, 1, 1, 3, 1, 2, 3, 0, 0, 2, 0, 1, 1, 4, 2, 4, 0, 2, 1, 3, 0, 0, 2, 2, 3, 3, 3, 0, 1, 1, 3, 2, 1, 3, 3, 1, 4, 0, 0, 4, 2, 1, 2, 4, 3, 4, 1, 1, 4, 1, 1, 3, 0, 2, 2, 1, 3, 0, 0, 3, 1, 1, 4, 4, 2, 4, 3, 2, 4, 3, 0, 2, 3, 1, 3, 1, 1, 3, 1, 4, 1, 4, 1, 1, 2, 3, 2, 4, 2, 2, 0, 3, 4, 3, 0, 0, 3, 0, 1, 3, 3, 3, 1, 3, 0, 4, 2, 3, 2, 3, 3, 3, 0, 2, 4, 2, 3, 1, 3, 2, 3, 4, 3, 1, 1, 1, 0, 4, 1, 3, 2, 1, 1, 1, 1, 2, 2, 4, 2, 3, 2, 0, 3, 2, 0, 1, 3, 2, 3, 0, 2]
pubkeycol835 = [1, 4, 2, 1, 1, 4, 4, 3, 1, 0, 1, 3, 4, 4, 4, 0, 2, 4, 1, 4, 4, 0, 4, 4, 2, 3, 3, 2, 4, 1, 0, 1, 4, 0, 4, 3, 1, 0, 4, 0, 0, 3, 2, 0, 2, 1, 3, 2, 2, 0, 2, 4, 3, 0, 0, 1, 0, 3, 4, 1, 4, 3, 3, 1, 1, 4, 3, 2, 2, 2, 0, 3, 2, 2, 1, 3, 2, 0, 0, 4, 1, 4, 0, 0, 1, 3, 2, 2, 2, 4, 3, 2, 3, 1, 4, 0, 2, 3, 4, 1, 1, 2, 0, 0, 0, 1, 4, 1, 4, 4, 0, 4, 1, 2, 1, 0, 2, 2, 4, 4, 1, 2, 0, 0, 4, 0, 3, 3, 2, 2, 1, 4, 3, 1, 3, 4, 3, 0, 3, 0, 4, 0, 2, 3, 4, 3, 2, 0, 3, 2, 3, 3, 4, 1, 3, 0, 4, 1, 3, 4, 0, 4, 1, 3, 1, 1, 0, 1, 2, 4, 1, 3, 3, 1, 1, 3, 0, 2, 0, 1, 2, 3, 0, 4, 3, 4, 2, 3, 0, 2, 4, 4, 3, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 4, 3, 0, 4, 4, 4, 4, 2, 0, 0, 2, 1, 2, 3, 1, 1, 4, 1, 2, 0, 3, 1, 4, 3, 3, 4, 3, 1, 1, 1, 3, 3, 1, 1, 4, 3, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 3, 2, 1, 0, 1, 4, 1, 4, 4, 3, 2, 2, 3, 4, 4, 1, 1, 3, 3, 4, 4, 4, 0, 3, 3, 4, 2, 3, 4, 2, 4, 3, 2, 1, 4, 4, 3, 3, 1, 2, 0, 4, 4, 3, 4, 0, 3, 2, 4, 4, 1, 3, 2, 3, 3, 4, 1, 1, 4, 3, 1, 3, 4, 3, 1, 4, 1, 0, 3, 2, 2, 2, 4, 2, 1, 1, 4, 4, 4, 0, 4, 1, 4, 4, 4, 4, 3, 4, 2, 0, 4, 4, 0, 4, 3, 0, 3, 1, 0, 1, 2, 1, 0, 2, 3, 0, 3, 1, 1, 1, 4, 0, 0, 2, 4, 0, 3, 4, 0, 1, 4, 0, 0, 1, 3, 0, 2, 1, 2, 4, 3, 4, 2, 1, 2, 2, 1, 1, 1, 1, 3, 4, 4, 1, 2, 0, 2, 0, 4, 2]
pubkeycol836 = [4, 1, 4, 1, 1, 3, 0, 2, 2, 3, 3, 4, 3, 3, 3, 0, 3, 1, 2, 3, 1, 2, 3, 4, 3, 0, 1, 3, 0, 1, 2, 1, 4, 1, 3, 1, 3, 0, 4, 0, 3, 2, 1, 2, 2, 3, 4, 2, 0, 1, 4, 3, 4, 1, 3, 4, 3, 2, 2, 4, 4, 4, 0, 4, 4, 1, 0, 3, 3, 1, 4, 1, 2, 3, 3, 3, 2, 4, 4, 0, 4, 2, 1, 0, 1, 0, 1, 0, 4, 4, 1, 1, 4, 2, 4, 2, 1, 2, 2, 4, 1, 4, 2, 0, 0, 1, 0, 0, 0, 0, 1, 4, 0, 3, 0, 3, 2, 3, 3, 0, 4, 0, 1, 0, 4, 2, 4, 2, 2, 0, 3, 2, 4, 1, 4, 2, 3, 1, 2, 1, 2, 3, 4, 1, 0, 1, 2, 1, 1, 0, 3, 3, 2, 0, 3, 1, 1, 1, 1, 0, 4, 3, 3, 0, 2, 0, 1, 4, 0, 0, 3, 3, 0, 1, 4, 1, 0, 3, 0, 1, 4, 2, 3, 4, 0, 0, 4, 0, 0, 4, 3, 3, 3, 1, 2, 3, 3, 4, 4, 0, 2, 4, 2, 0, 3, 3, 3, 0, 1, 1, 2, 4, 1, 1, 0, 3, 4, 4, 3, 2, 3, 2, 3, 1, 4, 2, 0, 3, 1, 3, 2, 3, 1, 2, 0, 3, 0, 3, 0, 0, 4, 4, 4, 0, 2, 0, 4, 3, 3, 1, 4, 2, 0, 1, 3, 4, 2, 0, 1, 0, 2, 1, 0, 3, 4, 4, 2, 4, 4, 1, 4, 3, 0, 4, 3, 4, 3, 1, 2, 0, 4, 2, 0, 2, 0, 3, 0, 3, 0, 0, 0, 1, 4, 2, 0, 2, 3, 2, 4, 2, 2, 2, 2, 2, 1, 1, 2, 4, 2, 4, 0, 1, 3, 2, 0, 4, 2, 4, 1, 1, 1, 2, 2, 3, 0, 4, 3, 4, 4, 2, 0, 4, 2, 4, 1, 0, 2, 2, 3, 3, 0, 1, 1, 2, 1, 4, 1, 3, 3, 4, 2, 0, 3, 0, 1, 1, 2, 2, 4, 0, 4, 4, 0, 2, 2, 3, 1, 4, 0, 1, 2, 0, 2, 3, 0, 1, 2, 0, 3, 4, 1, 4, 1, 0, 2, 2, 4, 3, 2, 2, 1, 0, 0, 4, 2, 1, 0, 2, 0, 1]
pubkeycol837 = [3, 2, 4, 2, 1, 3, 4, 4, 0, 0, 3, 0, 1, 4, 1, 3, 4, 4, 4, 2, 3, 2, 3, 4, 3, 4, 3, 0, 2, 0, 1, 0, 1, 1, 1, 4, 3, 1, 1, 4, 2, 2, 1, 2, 2, 3, 4, 4, 3, 2, 0, 0, 4, 1, 3, 4, 3, 2, 3, 0, 0, 1, 2, 4, 3, 0, 3, 2, 0, 4, 1, 1, 3, 3, 1, 1, 0, 3, 0, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 1, 1, 4, 2, 4, 0, 1, 2, 2, 2, 3, 1, 4, 0, 3, 4, 0, 4, 2, 1, 3, 0, 0, 3, 3, 2, 3, 4, 0, 3, 3, 0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 0, 0, 0, 3, 1, 3, 1, 2, 1, 2, 3, 4, 0, 4, 1, 4, 2, 3, 2, 0, 2, 1, 3, 1, 2, 1, 4, 4, 0, 4, 1, 1, 4, 2, 1, 2, 2, 0, 3, 1, 1, 3, 1, 4, 4, 2, 1, 2, 0, 1, 1, 3, 0, 4, 1, 0, 0, 4, 4, 2, 0, 2, 2, 2, 2, 3, 1, 3, 1, 1, 1, 0, 3, 0, 2, 2, 3, 2, 0, 4, 3, 4, 0, 3, 1, 3, 2, 3, 2, 2, 0, 3, 2, 2, 4, 4, 1, 2, 4, 3, 0, 2, 3, 0, 1, 0, 2, 1, 4, 2, 2, 2, 3, 0, 2, 2, 4, 0, 2, 2, 0, 2, 2, 2, 1, 3, 1, 1, 0, 1, 2, 4, 1, 0, 1, 4, 3, 3, 2, 4, 0, 0, 4, 3, 4, 3, 1, 4, 2, 4, 4, 1, 4, 0, 1, 0, 3, 4, 1, 4, 1, 0, 2, 0, 4, 2, 4, 4, 0, 3, 3, 2, 1, 0, 3, 2, 1, 3, 1, 2, 1, 1, 4, 4, 2, 3, 1, 4, 4, 1, 1, 3, 0, 3, 0, 2, 4, 1, 1, 2, 0, 4, 4, 0, 1, 3, 0, 1, 4, 1, 4, 0, 4, 1, 4, 1, 2, 2, 2, 0, 1, 3, 4, 3, 1, 2, 2, 2, 3, 2, 0, 2, 1, 0, 4, 3, 1, 4, 0, 3, 4, 2, 3, 0, 1, 4, 0, 0, 1, 3, 1, 2, 0, 3, 4, 0, 0, 0, 2, 4, 0, 3, 3, 1, 4, 1]
pubkeycol838 = [0, 0, 1, 4, 4, 4, 4, 1, 0, 4, 1, 4, 0, 4, 1, 4, 4, 0, 4, 0, 3, 1, 1, 4, 0, 1, 2, 1, 0, 3, 4, 0, 0, 1, 4, 3, 4, 0, 2, 1, 4, 2, 0, 0, 1, 4, 1, 2, 3, 3, 4, 2, 2, 3, 2, 0, 0, 3, 2, 3, 4, 0, 1, 2, 0, 3, 2, 3, 4, 1, 2, 0, 2, 0, 4, 0, 0, 0, 0, 0, 3, 4, 2, 0, 3, 2, 0, 2, 1, 3, 1, 3, 3, 2, 2, 4, 0, 0, 0, 1, 3, 1, 3, 3, 0, 3, 3, 1, 2, 2, 1, 2, 0, 4, 1, 3, 3, 2, 3, 4, 1, 2, 0, 3, 1, 4, 4, 2, 4, 1, 1, 0, 0, 3, 4, 2, 2, 2, 0, 0, 2, 4, 0, 4, 0, 0, 4, 3, 3, 2, 3, 3, 0, 0, 0, 4, 0, 0, 0, 3, 3, 4, 1, 0, 0, 3, 2, 2, 3, 1, 1, 4, 1, 1, 3, 1, 2, 0, 1, 0, 2, 1, 3, 1, 3, 1, 4, 3, 2, 1, 2, 3, 3, 3, 4, 0, 1, 1, 0, 0, 2, 1, 4, 4, 2, 3, 2, 2, 1, 4, 0, 4, 0, 1, 2, 3, 1, 0, 2, 3, 3, 2, 2, 3, 2, 1, 3, 3, 3, 4, 3, 3, 0, 2, 4, 0, 0, 1, 1, 0, 0, 4, 1, 1, 2, 2, 3, 1, 3, 0, 2, 2, 0, 4, 1, 0, 0, 2, 3, 1, 3, 3, 1, 0, 0, 0, 4, 1, 3, 1, 0, 4, 0, 4, 3, 3, 4, 3, 2, 0, 1, 4, 3, 1, 1, 0, 4, 1, 4, 3, 2, 0, 0, 2, 0, 2, 2, 2, 0, 4, 2, 1, 4, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 3, 0, 3, 1, 4, 0, 0, 0, 2, 2, 2, 1, 0, 1, 3, 3, 0, 3, 0, 3, 3, 1, 4, 4, 3, 2, 3, 3, 2, 1, 1, 2, 0, 4, 3, 1, 1, 1, 3, 2, 0, 3, 4, 3, 0, 3, 4, 0, 1, 2, 0, 3, 3, 3, 4, 0, 4, 1, 0, 4, 2, 1, 0, 2, 1, 2, 2, 1, 3, 3, 4, 4, 1, 1, 3, 2, 0, 3, 0, 3, 2, 4, 0]
pubkeycol839 = [0, 4, 4, 1, 4, 4, 0, 2, 1, 4, 2, 1, 3, 4, 2, 4, 2, 1, 1, 4, 3, 4, 1, 4, 4, 2, 0, 1, 1, 0, 4, 0, 2, 1, 2, 0, 1, 4, 0, 1, 2, 0, 4, 2, 1, 3, 4, 3, 2, 4, 4, 0, 4, 3, 0, 1, 2, 1, 3, 2, 4, 3, 4, 2, 1, 3, 2, 0, 1, 2, 4, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 4, 0, 2, 3, 0, 4, 2, 1, 2, 2, 0, 3, 0, 3, 4, 3, 3, 1, 3, 0, 0, 3, 3, 3, 3, 4, 4, 2, 3, 0, 0, 1, 4, 3, 2, 3, 1, 0, 2, 0, 2, 1, 1, 0, 1, 4, 0, 0, 0, 0, 3, 0, 4, 4, 3, 4, 0, 2, 4, 4, 4, 3, 4, 4, 3, 4, 1, 3, 4, 1, 0, 2, 2, 1, 0, 4, 0, 3, 1, 2, 3, 3, 2, 0, 3, 0, 2, 0, 0, 4, 1, 2, 0, 1, 4, 3, 1, 4, 0, 1, 1, 1, 3, 3, 4, 1, 0, 3, 3, 3, 2, 4, 2, 3, 0, 2, 0, 0, 2, 0, 4, 1, 4, 4, 4, 2, 0, 4, 0, 2, 1, 4, 2, 4, 2, 1, 0, 1, 4, 2, 4, 0, 2, 1, 2, 1, 3, 4, 0, 1, 0, 0, 1, 1, 4, 0, 2, 1, 4, 4, 4, 0, 1, 4, 0, 3, 1, 0, 1, 3, 0, 2, 0, 2, 4, 0, 1, 3, 4, 3, 0, 3, 3, 4, 0, 4, 0, 0, 3, 0, 0, 2, 4, 2, 1, 0, 3, 4, 4, 3, 0, 0, 0, 2, 1, 2, 4, 4, 0, 0, 1, 4, 0, 3, 4, 3, 3, 0, 0, 0, 3, 0, 3, 1, 2, 2, 0, 0, 0, 4, 3, 4, 3, 0, 1, 4, 2, 4, 1, 3, 4, 1, 2, 3, 3, 0, 0, 4, 1, 4, 2, 3, 1, 1, 3, 1, 0, 4, 3, 4, 1, 0, 3, 0, 0, 4, 3, 3, 3, 4, 1, 3, 0, 4, 2, 1, 3, 0, 1, 4, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 3, 1, 2, 2, 3, 1, 1, 4, 0, 2, 4, 0, 1, 2, 3, 4, 2, 0]
pubkeycol840 = [2, 1, 4, 1, 0, 2, 2, 3, 3, 2, 1, 3, 3, 1, 4, 2, 3, 1, 4, 1, 2, 4, 2, 1, 1, 1, 1, 3, 4, 1, 2, 3, 2, 1, 0, 3, 3, 4, 0, 3, 0, 2, 3, 0, 0, 1, 1, 1, 0, 2, 1, 1, 4, 4, 2, 4, 2, 4, 3, 3, 3, 0, 2, 1, 0, 2, 3, 3, 3, 2, 2, 0, 2, 2, 1, 2, 3, 0, 1, 0, 3, 1, 4, 4, 1, 0, 1, 1, 2, 2, 0, 2, 3, 4, 2, 1, 0, 0, 3, 1, 0, 4, 1, 3, 1, 4, 4, 0, 4, 0, 2, 3, 3, 2, 1, 4, 1, 3, 1, 1, 4, 1, 2, 1, 2, 2, 0, 0, 4, 1, 0, 0, 3, 1, 3, 4, 0, 4, 4, 1, 2, 4, 1, 4, 4, 0, 0, 4, 4, 1, 0, 3, 3, 3, 0, 2, 1, 2, 4, 0, 1, 4, 0, 1, 4, 1, 3, 3, 4, 2, 0, 0, 1, 3, 0, 1, 2, 2, 0, 1, 4, 4, 1, 4, 1, 0, 3, 1, 0, 4, 1, 3, 1, 1, 2, 0, 3, 0, 2, 2, 0, 0, 1, 0, 3, 4, 1, 1, 2, 4, 1, 2, 3, 3, 2, 4, 1, 2, 4, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 4, 1, 3, 1, 3, 4, 0, 1, 1, 4, 4, 3, 4, 0, 4, 2, 4, 0, 4, 3, 0, 1, 1, 0, 4, 4, 1, 4, 4, 1, 3, 1, 3, 3, 3, 4, 1, 2, 2, 0, 0, 0, 4, 3, 1, 2, 4, 4, 3, 2, 2, 3, 4, 1, 3, 2, 0, 3, 2, 0, 3, 0, 3, 2, 0, 3, 1, 1, 4, 3, 0, 2, 4, 2, 2, 2, 1, 1, 1, 0, 4, 0, 4, 2, 4, 1, 0, 3, 2, 0, 3, 2, 0, 1, 0, 0, 2, 4, 4, 3, 2, 0, 4, 0, 1, 3, 1, 2, 1, 3, 3, 4, 3, 2, 3, 0, 2, 1, 3, 1, 3, 1, 2, 2, 4, 0, 4, 2, 4, 2, 0, 0, 0, 1, 4, 1, 4, 4, 3, 3, 0, 2, 1, 0, 0, 1, 4, 4, 1, 1, 4, 1, 3, 3, 4, 0, 0, 3, 2, 2, 2, 0, 0, 1, 4, 0, 0, 3, 2, 4, 3]
pubkeycol841 = [1, 2, 0, 1, 2, 1, 4, 3, 0, 0, 3, 2, 1, 4, 2, 4, 3, 0, 3, 4, 1, 2, 0, 4, 4, 2, 2, 3, 4, 2, 3, 4, 0, 3, 4, 1, 0, 2, 0, 2, 3, 4, 4, 2, 1, 3, 4, 4, 1, 4, 2, 4, 3, 3, 1, 4, 4, 3, 4, 1, 2, 3, 1, 1, 1, 4, 1, 1, 4, 1, 1, 4, 0, 0, 1, 3, 0, 2, 3, 4, 0, 0, 1, 4, 0, 3, 2, 2, 3, 4, 0, 1, 4, 3, 3, 1, 2, 1, 4, 1, 2, 4, 4, 1, 3, 1, 0, 4, 3, 3, 0, 2, 2, 0, 2, 0, 1, 4, 4, 1, 0, 4, 3, 2, 3, 0, 3, 3, 3, 3, 4, 1, 2, 0, 0, 3, 0, 0, 0, 1, 4, 2, 4, 0, 4, 2, 3, 3, 4, 0, 3, 0, 0, 3, 4, 1, 0, 4, 2, 3, 1, 1, 1, 0, 0, 1, 0, 2, 4, 2, 2, 3, 4, 1, 0, 0, 1, 3, 4, 4, 0, 2, 4, 2, 3, 1, 3, 0, 3, 1, 3, 3, 0, 3, 1, 1, 3, 0, 3, 0, 3, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 4, 4, 0, 3, 4, 4, 0, 3, 1, 1, 0, 3, 4, 4, 3, 2, 0, 3, 0, 3, 0, 2, 3, 4, 2, 0, 4, 3, 4, 3, 4, 2, 2, 0, 0, 2, 4, 2, 3, 3, 3, 2, 0, 1, 1, 1, 3, 0, 1, 1, 1, 4, 3, 0, 0, 4, 3, 0, 3, 3, 2, 3, 0, 0, 3, 3, 4, 0, 0, 1, 3, 4, 3, 0, 2, 2, 3, 4, 4, 3, 1, 3, 4, 4, 4, 3, 2, 4, 3, 4, 0, 4, 4, 2, 2, 3, 0, 4, 2, 3, 4, 3, 1, 1, 0, 0, 2, 0, 4, 1, 0, 1, 1, 3, 3, 2, 0, 4, 2, 0, 3, 2, 2, 3, 4, 4, 4, 4, 1, 1, 4, 0, 2, 3, 4, 2, 3, 4, 1, 2, 2, 1, 2, 2, 4, 0, 2, 1, 0, 2, 0, 2, 3, 0, 1, 4, 2, 0, 3, 1, 2, 4, 0, 1, 1, 4, 2, 4, 0, 4, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 4, 1, 0, 1, 3, 4, 4, 1]
pubkeycol842 = [3, 0, 1, 3, 0, 1, 4, 1, 1, 2, 0, 4, 1, 2, 1, 0, 4, 2, 3, 3, 4, 3, 4, 3, 3, 1, 2, 1, 2, 2, 2, 4, 1, 3, 4, 0, 1, 3, 3, 2, 0, 3, 1, 2, 2, 0, 2, 2, 0, 2, 4, 1, 0, 1, 3, 4, 3, 3, 0, 3, 1, 4, 1, 1, 0, 0, 3, 1, 4, 1, 1, 4, 2, 3, 0, 0, 1, 1, 2, 1, 2, 4, 3, 2, 4, 4, 0, 0, 3, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 3, 0, 3, 1, 4, 4, 4, 3, 0, 3, 3, 1, 1, 4, 3, 3, 2, 4, 3, 1, 4, 4, 1, 2, 4, 0, 1, 0, 4, 3, 1, 4, 4, 4, 0, 3, 0, 1, 3, 1, 4, 4, 1, 2, 0, 2, 0, 1, 3, 2, 4, 4, 3, 0, 2, 1, 0, 0, 3, 4, 3, 3, 4, 3, 0, 0, 3, 0, 3, 0, 1, 1, 4, 2, 1, 2, 3, 4, 2, 3, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 4, 1, 0, 0, 2, 2, 0, 0, 3, 4, 2, 3, 0, 1, 1, 3, 3, 3, 2, 1, 2, 4, 2, 3, 4, 2, 2, 3, 3, 0, 4, 0, 2, 2, 0, 1, 3, 4, 4, 2, 3, 1, 0, 1, 2, 2, 1, 0, 4, 0, 2, 4, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4, 3, 4, 3, 2, 2, 1, 2, 4, 3, 2, 1, 1, 0, 1, 0, 0, 4, 3, 4, 4, 1, 3, 1, 3, 2, 1, 3, 1, 1, 0, 2, 1, 3, 0, 0, 0, 0, 4, 4, 2, 0, 3, 0, 2, 2, 3, 3, 3, 0, 4, 3, 2, 3, 4, 2, 2, 1, 0, 3, 2, 1, 0, 1, 1, 1, 3, 3, 4, 3, 0, 3, 2, 1, 1, 2, 4, 1, 3, 1, 0, 1, 3, 4, 0, 3, 2, 3, 2, 2, 1, 2, 3, 3, 4, 3, 4, 0, 2, 3, 0, 3, 4, 4, 0, 2, 0, 4, 0, 4, 3, 0, 2, 0, 0, 2, 3, 2, 2, 2, 3, 2, 4, 4, 1, 4, 2, 1, 2, 1, 4, 3, 4, 0, 2, 3, 3, 4, 3, 0, 4, 3]
pubkeycol843 = [1, 4, 4, 1, 3, 1, 0, 1, 0, 0, 4, 4, 4, 2, 1, 1, 2, 1, 0, 1, 3, 0, 1, 2, 0, 4, 3, 1, 2, 2, 2, 4, 1, 1, 3, 3, 1, 4, 3, 0, 2, 4, 0, 2, 0, 0, 1, 1, 0, 1, 4, 4, 4, 2, 1, 2, 0, 4, 4, 4, 3, 1, 4, 1, 0, 0, 3, 4, 3, 0, 1, 2, 4, 1, 4, 4, 2, 2, 4, 1, 4, 1, 0, 2, 1, 4, 0, 0, 3, 3, 3, 3, 0, 2, 3, 2, 1, 4, 1, 2, 0, 4, 4, 1, 3, 0, 3, 0, 4, 3, 1, 3, 2, 4, 2, 2, 2, 2, 2, 1, 2, 2, 3, 4, 4, 2, 3, 3, 0, 2, 2, 2, 2, 3, 3, 4, 0, 2, 0, 4, 4, 3, 1, 2, 3, 4, 2, 3, 1, 2, 3, 1, 1, 2, 1, 1, 4, 2, 1, 4, 3, 4, 0, 4, 2, 2, 1, 0, 0, 4, 2, 1, 4, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 4, 2, 0, 2, 4, 4, 1, 4, 1, 0, 2, 1, 0, 2, 4, 2, 3, 1, 0, 3, 1, 1, 3, 0, 0, 0, 3, 2, 4, 2, 1, 1, 3, 2, 1, 3, 1, 0, 0, 4, 2, 3, 0, 2, 1, 2, 2, 0, 4, 4, 3, 4, 0, 2, 0, 0, 1, 3, 0, 1, 2, 1, 1, 1, 3, 0, 0, 4, 2, 3, 1, 1, 0, 4, 0, 4, 2, 2, 1, 0, 3, 2, 0, 4, 1, 2, 1, 1, 4, 4, 3, 4, 2, 2, 1, 0, 3, 1, 0, 0, 1, 0, 1, 0, 0, 4, 1, 2, 4, 0, 2, 1, 2, 0, 1, 3, 1, 4, 4, 4, 4, 0, 2, 4, 0, 4, 0, 1, 4, 0, 2, 0, 0, 0, 1, 0, 4, 2, 0, 4, 3, 3, 0, 4, 0, 1, 4, 1, 1, 3, 2, 3, 3, 4, 0, 0, 3, 4, 3, 4, 0, 1, 3, 0, 1, 4, 1, 4, 3, 1, 2, 1, 4, 4, 3, 1, 1, 3, 4, 4, 3, 3, 0, 4, 2, 4, 1, 2, 3, 4, 1, 3, 0, 1, 3, 2, 3, 3, 4, 0, 0, 1, 4, 4, 4, 3, 2, 3, 1, 2, 2, 0, 4, 4, 2, 2]
pubkeycol844 = [0, 1, 1, 0, 3, 1, 4, 0, 1, 1, 3, 3, 1, 1, 0, 1, 0, 0, 0, 1, 2, 3, 4, 3, 0, 0, 2, 3, 3, 4, 2, 2, 0, 3, 1, 0, 1, 0, 4, 0, 1, 3, 1, 2, 1, 0, 2, 1, 0, 1, 2, 4, 0, 1, 2, 1, 3, 1, 3, 2, 3, 4, 3, 0, 0, 3, 2, 4, 0, 4, 4, 2, 2, 3, 2, 2, 3, 1, 0, 2, 1, 1, 3, 2, 0, 3, 4, 3, 1, 3, 2, 1, 1, 3, 4, 1, 2, 0, 1, 1, 3, 0, 0, 3, 2, 3, 0, 3, 4, 3, 1, 1, 3, 1, 0, 4, 3, 0, 4, 2, 4, 3, 4, 1, 3, 4, 3, 1, 0, 0, 4, 0, 4, 1, 4, 0, 4, 1, 2, 0, 0, 1, 0, 0, 1, 4, 3, 0, 1, 3, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 4, 4, 1, 4, 3, 4, 0, 2, 4, 3, 1, 1, 3, 3, 4, 2, 4, 0, 3, 1, 0, 2, 2, 2, 0, 0, 1, 4, 3, 4, 2, 1, 1, 4, 1, 0, 3, 1, 0, 0, 0, 0, 3, 3, 3, 1, 0, 2, 0, 4, 3, 2, 0, 2, 4, 0, 0, 1, 1, 0, 2, 3, 0, 4, 0, 1, 3, 4, 0, 3, 2, 1, 0, 0, 0, 1, 1, 1, 3, 4, 4, 1, 2, 2, 3, 3, 0, 1, 2, 4, 2, 2, 4, 2, 0, 4, 1, 0, 3, 4, 2, 0, 0, 1, 4, 2, 2, 2, 0, 4, 3, 4, 1, 1, 1, 3, 0, 3, 0, 3, 4, 1, 2, 2, 2, 0, 4, 2, 4, 2, 2, 3, 4, 1, 0, 3, 2, 3, 3, 1, 4, 0, 0, 0, 4, 2, 2, 1, 3, 4, 4, 2, 3, 3, 2, 0, 1, 2, 4, 2, 3, 2, 1, 4, 2, 0, 3, 4, 1, 3, 3, 0, 0, 2, 1, 2, 4, 0, 4, 1, 0, 2, 4, 2, 1, 1, 3, 0, 2, 3, 3, 2, 0, 1, 0, 0, 1, 3, 2, 4, 1, 1, 2, 1, 1, 2, 0, 2, 3, 1, 1, 0, 3, 1, 0, 1, 3, 0, 2, 4, 4, 0, 1, 3, 0, 3, 0, 3, 3, 1, 2, 4, 3, 2, 4, 3, 1]
pubkeycol845 = [0, 4, 4, 1, 1, 4, 0, 0, 4, 3, 0, 0, 1, 3, 2, 0, 4, 2, 3, 4, 0, 0, 0, 2, 4, 2, 2, 2, 0, 1, 0, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 0, 3, 2, 4, 0, 3, 2, 1, 1, 4, 0, 1, 2, 3, 1, 4, 2, 4, 1, 2, 1, 2, 3, 4, 3, 1, 3, 2, 0, 1, 2, 0, 3, 0, 4, 4, 3, 4, 4, 4, 4, 1, 3, 2, 3, 3, 2, 0, 3, 4, 4, 2, 4, 3, 0, 3, 4, 3, 2, 0, 4, 1, 2, 3, 1, 0, 3, 4, 0, 3, 2, 3, 1, 4, 4, 1, 2, 4, 2, 1, 1, 2, 3, 3, 1, 4, 4, 3, 3, 3, 4, 3, 3, 4, 1, 0, 4, 4, 1, 2, 3, 0, 3, 0, 0, 0, 4, 4, 0, 4, 3, 4, 2, 3, 4, 4, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 0, 3, 3, 0, 1, 4, 0, 4, 2, 4, 1, 1, 4, 3, 3, 1, 3, 1, 1, 3, 1, 1, 4, 1, 2, 2, 4, 0, 4, 4, 0, 1, 4, 4, 0, 0, 4, 0, 1, 1, 3, 2, 4, 2, 2, 2, 4, 4, 4, 3, 1, 1, 4, 1, 3, 4, 4, 0, 1, 3, 4, 2, 4, 2, 2, 2, 0, 3, 2, 4, 1, 1, 1, 2, 3, 0, 4, 3, 3, 1, 4, 3, 2, 2, 1, 0, 4, 4, 4, 0, 0, 1, 0, 0, 3, 2, 2, 4, 4, 3, 0, 3, 4, 4, 4, 0, 0, 2, 2, 3, 0, 3, 4, 4, 4, 0, 4, 3, 4, 4, 2, 0, 1, 0, 0, 4, 3, 4, 2, 3, 3, 3, 2, 0, 3, 4, 0, 4, 1, 3, 3, 0, 0, 3, 3, 1, 1, 1, 0, 1, 1, 3, 4, 1, 2, 2, 4, 0, 4, 0, 3, 1, 3, 2, 3, 4, 4, 1, 2, 0, 0, 3, 2, 2, 2, 0, 4, 4, 4, 3, 3, 0, 0, 2, 1, 1, 3, 0, 2, 4, 3, 2, 0, 4, 4, 1, 4, 3, 0, 0, 0, 3, 0, 4, 3, 3, 3, 0, 1, 0, 3, 0, 2, 3, 4, 3, 1, 1, 3, 3, 1, 2, 2, 1, 0, 2, 0, 4, 3, 4, 4]
pubkeycol846 = [1, 3, 1, 1, 4, 3, 3, 1, 2, 0, 0, 3, 3, 0, 3, 1, 1, 2, 4, 2, 2, 4, 0, 3, 0, 3, 1, 3, 0, 0, 2, 3, 3, 4, 4, 3, 0, 4, 1, 3, 1, 0, 3, 4, 2, 1, 3, 2, 3, 2, 4, 4, 3, 3, 4, 2, 1, 1, 2, 3, 4, 0, 0, 3, 1, 0, 1, 0, 1, 4, 1, 4, 0, 2, 3, 2, 1, 4, 4, 2, 4, 2, 4, 3, 0, 2, 3, 1, 2, 0, 4, 0, 1, 3, 4, 0, 2, 0, 1, 2, 4, 2, 3, 3, 1, 3, 3, 4, 4, 1, 0, 0, 0, 4, 3, 1, 2, 2, 4, 2, 1, 3, 4, 4, 4, 4, 4, 3, 0, 3, 2, 4, 2, 2, 3, 1, 0, 3, 3, 1, 0, 3, 3, 3, 4, 2, 1, 4, 4, 1, 4, 1, 3, 4, 0, 0, 3, 1, 3, 1, 2, 3, 1, 3, 0, 3, 3, 3, 3, 1, 0, 4, 3, 2, 1, 3, 0, 2, 3, 0, 1, 4, 2, 1, 0, 3, 4, 0, 4, 0, 1, 1, 4, 0, 2, 3, 2, 2, 3, 4, 4, 4, 3, 0, 1, 3, 0, 3, 1, 2, 1, 4, 1, 0, 0, 0, 4, 4, 3, 4, 2, 3, 1, 2, 2, 1, 0, 4, 4, 2, 0, 1, 1, 1, 3, 2, 1, 2, 1, 0, 4, 4, 4, 3, 3, 0, 4, 2, 3, 4, 3, 4, 4, 2, 1, 2, 1, 0, 0, 0, 4, 1, 4, 1, 0, 2, 3, 4, 1, 2, 0, 1, 1, 0, 1, 0, 4, 4, 1, 0, 2, 3, 4, 2, 3, 0, 2, 1, 2, 0, 2, 1, 0, 2, 3, 3, 4, 4, 0, 4, 1, 4, 1, 1, 4, 3, 0, 4, 0, 3, 2, 0, 0, 0, 0, 1, 3, 3, 1, 0, 3, 2, 4, 2, 4, 1, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 4, 0, 1, 3, 4, 1, 1, 4, 3, 2, 3, 1, 0, 0, 1, 4, 3, 3, 1, 3, 3, 1, 1, 4, 0, 3, 3, 1, 2, 3, 1, 0, 2, 0, 4, 1, 2, 4, 3, 2, 4, 3, 4, 3, 0, 4, 3, 3, 3, 0, 1, 4, 1, 2, 3, 4, 0, 3, 3, 2, 2, 1, 0, 2]
pubkeycol847 = [2, 1, 0, 4, 0, 3, 3, 0, 2, 4, 4, 1, 0, 3, 0, 4, 2, 0, 0, 2, 1, 2, 2, 4, 1, 1, 4, 2, 2, 0, 2, 3, 3, 1, 3, 3, 0, 0, 1, 2, 1, 0, 2, 3, 1, 3, 1, 4, 4, 2, 3, 3, 1, 1, 2, 0, 2, 4, 1, 0, 2, 1, 0, 4, 1, 1, 0, 0, 4, 4, 3, 0, 2, 1, 3, 0, 2, 3, 0, 3, 4, 0, 1, 4, 3, 4, 0, 0, 3, 0, 0, 3, 2, 3, 2, 1, 4, 2, 4, 2, 4, 0, 3, 4, 3, 4, 3, 4, 3, 1, 3, 4, 3, 2, 1, 4, 3, 2, 3, 1, 1, 1, 4, 1, 0, 4, 4, 4, 2, 3, 4, 2, 1, 3, 2, 0, 4, 1, 4, 3, 4, 0, 1, 4, 1, 2, 4, 3, 0, 3, 3, 3, 2, 0, 2, 3, 0, 0, 3, 4, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 3, 1, 1, 0, 1, 3, 4, 3, 3, 3, 4, 4, 2, 0, 0, 2, 0, 2, 3, 4, 0, 3, 3, 0, 3, 0, 4, 1, 0, 1, 2, 4, 4, 4, 1, 0, 3, 3, 1, 1, 3, 3, 3, 3, 1, 2, 3, 0, 0, 4, 3, 2, 4, 0, 1, 1, 3, 3, 0, 3, 4, 2, 1, 3, 1, 2, 4, 2, 0, 1, 2, 4, 2, 4, 2, 2, 0, 4, 4, 2, 2, 4, 2, 0, 3, 3, 2, 0, 0, 4, 0, 0, 1, 0, 2, 2, 4, 0, 4, 3, 4, 2, 1, 3, 2, 4, 0, 4, 2, 1, 0, 4, 0, 4, 2, 2, 2, 2, 3, 0, 3, 4, 1, 4, 1, 2, 2, 4, 2, 1, 3, 0, 4, 4, 4, 0, 2, 0, 4, 1, 1, 0, 0, 0, 2, 1, 1, 4, 4, 2, 2, 2, 3, 2, 0, 2, 4, 2, 4, 1, 4, 4, 3, 4, 4, 4, 4, 4, 2, 1, 0, 4, 3, 1, 2, 1, 0, 3, 3, 0, 4, 1, 0, 0, 1, 1, 0, 0, 0, 3, 0, 4, 3, 0, 0, 2, 1, 1, 3, 0, 4, 4, 3, 4, 2, 3, 4, 2, 1, 2, 0, 3, 3, 1, 4, 2, 0, 1, 2, 0, 1, 1, 0, 3, 1, 3, 3, 1, 1, 3]
pubkeycol848 = [2, 4, 4, 0, 4, 4, 4, 0, 0, 0, 1, 0, 2, 3, 1, 3, 0, 3, 2, 0, 2, 2, 0, 2, 4, 1, 1, 1, 3, 3, 3, 4, 1, 1, 0, 3, 0, 1, 1, 4, 1, 4, 0, 2, 4, 3, 1, 1, 4, 3, 0, 3, 0, 1, 4, 1, 2, 4, 4, 0, 1, 1, 4, 4, 2, 0, 0, 2, 0, 3, 1, 4, 0, 4, 3, 0, 4, 4, 4, 0, 3, 1, 4, 2, 3, 3, 2, 4, 0, 3, 1, 4, 2, 4, 0, 1, 0, 1, 4, 2, 3, 3, 4, 2, 1, 3, 4, 4, 0, 1, 3, 3, 4, 1, 4, 0, 3, 2, 1, 3, 0, 4, 1, 0, 4, 1, 2, 0, 2, 2, 1, 3, 3, 3, 4, 0, 2, 1, 2, 0, 0, 1, 3, 1, 2, 4, 2, 2, 3, 2, 0, 0, 4, 3, 3, 0, 3, 4, 4, 2, 3, 0, 1, 2, 2, 4, 3, 1, 0, 1, 3, 3, 1, 3, 2, 4, 1, 3, 3, 1, 4, 3, 3, 3, 4, 3, 0, 0, 4, 4, 2, 1, 2, 4, 1, 3, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 0, 1, 1, 1, 3, 0, 1, 4, 0, 2, 3, 2, 0, 0, 4, 0, 0, 4, 4, 0, 3, 2, 1, 2, 0, 3, 2, 2, 2, 3, 4, 2, 4, 4, 3, 2, 2, 1, 4, 0, 0, 2, 3, 3, 0, 0, 4, 4, 1, 2, 4, 2, 3, 3, 1, 0, 1, 3, 3, 3, 2, 2, 4, 3, 4, 0, 0, 3, 2, 0, 1, 2, 2, 2, 4, 1, 0, 2, 0, 3, 4, 1, 0, 3, 0, 4, 3, 2, 4, 3, 0, 3, 0, 4, 1, 1, 4, 3, 1, 2, 1, 2, 3, 3, 3, 0, 4, 1, 1, 3, 0, 2, 1, 3, 0, 0, 0, 0, 0, 4, 3, 3, 0, 2, 1, 4, 2, 4, 1, 4, 0, 4, 4, 3, 2, 1, 4, 2, 0, 0, 0, 3, 2, 3, 0, 4, 4, 3, 4, 1, 0, 0, 4, 1, 1, 2, 0, 1, 3, 1, 1, 1, 3, 4, 2, 3, 4, 4, 3, 0, 1, 3, 2, 4, 4, 0, 2, 2, 4, 4, 3, 0, 1, 1, 1, 4, 3, 2]
pubkeycol849 = [0, 2, 0, 2, 2, 2, 2, 3, 0, 0, 1, 4, 4, 4, 0, 4, 3, 1, 2, 3, 1, 1, 0, 0, 1, 1, 1, 3, 4, 0, 2, 3, 2, 2, 2, 1, 0, 2, 4, 2, 0, 4, 0, 3, 2, 2, 1, 0, 3, 4, 1, 2, 0, 4, 2, 4, 2, 1, 0, 0, 0, 2, 2, 2, 4, 2, 4, 4, 1, 0, 4, 4, 2, 3, 3, 1, 0, 2, 2, 2, 0, 3, 3, 1, 0, 1, 0, 1, 1, 2, 3, 3, 3, 1, 3, 1, 4, 1, 3, 4, 0, 0, 2, 1, 0, 2, 1, 4, 1, 2, 1, 1, 0, 4, 0, 2, 2, 4, 4, 0, 2, 4, 1, 3, 4, 4, 0, 0, 4, 1, 0, 0, 0, 1, 4, 2, 2, 4, 3, 0, 4, 1, 2, 0, 2, 3, 1, 0, 3, 0, 0, 2, 1, 1, 2, 2, 2, 1, 4, 1, 4, 4, 1, 0, 0, 1, 2, 3, 3, 4, 1, 2, 2, 4, 4, 4, 0, 4, 4, 2, 0, 0, 4, 4, 2, 1, 4, 2, 2, 3, 2, 3, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 3, 0, 1, 2, 2, 0, 0, 4, 3, 2, 2, 3, 0, 2, 0, 0, 4, 1, 0, 1, 3, 1, 2, 0, 3, 1, 0, 1, 0, 4, 4, 4, 4, 2, 4, 0, 2, 3, 0, 2, 1, 1, 3, 1, 0, 1, 4, 4, 4, 0, 1, 1, 2, 4, 2, 4, 3, 2, 4, 2, 0, 2, 4, 4, 1, 4, 2, 2, 1, 1, 0, 0, 1, 0, 3, 3, 1, 4, 2, 3, 0, 1, 3, 2, 3, 2, 0, 1, 3, 2, 1, 0, 4, 3, 1, 0, 3, 3, 3, 3, 2, 4, 1, 0, 2, 3, 1, 3, 0, 0, 4, 2, 1, 3, 1, 0, 2, 1, 1, 3, 3, 0, 4, 1, 3, 1, 3, 2, 0, 2, 2, 3, 1, 4, 0, 2, 1, 3, 0, 3, 4, 3, 2, 1, 0, 1, 3, 0, 1, 1, 2, 3, 4, 4, 4, 3, 2, 3, 4, 1, 2, 2, 4, 3, 1, 2, 2, 4, 1, 0, 3, 4, 1, 1, 2, 3, 0, 1, 2, 3, 2, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 3, 1, 3]
pubkeycol850 = [0, 3, 3, 2, 0, 2, 3, 4, 2, 0, 3, 4, 2, 1, 2, 3, 2, 0, 0, 4, 4, 3, 1, 3, 4, 4, 3, 1, 3, 2, 3, 3, 0, 0, 0, 3, 4, 2, 1, 0, 3, 1, 1, 3, 3, 4, 2, 1, 3, 1, 0, 4, 2, 3, 0, 4, 1, 1, 3, 2, 3, 4, 0, 4, 1, 2, 4, 0, 1, 2, 4, 2, 2, 2, 3, 1, 2, 1, 4, 3, 0, 2, 3, 2, 3, 0, 2, 3, 4, 1, 1, 1, 4, 3, 2, 3, 4, 0, 2, 4, 2, 4, 0, 3, 4, 2, 2, 2, 0, 3, 3, 4, 4, 1, 3, 0, 0, 2, 3, 3, 4, 0, 1, 1, 0, 0, 2, 0, 4, 1, 3, 2, 2, 3, 1, 4, 0, 0, 3, 4, 0, 0, 3, 4, 2, 3, 2, 1, 3, 4, 0, 2, 4, 4, 0, 0, 3, 0, 0, 0, 4, 4, 4, 0, 3, 2, 2, 4, 4, 0, 0, 3, 1, 1, 3, 2, 0, 2, 3, 1, 0, 4, 1, 1, 0, 1, 2, 0, 1, 2, 4, 1, 2, 3, 2, 0, 3, 0, 1, 2, 3, 0, 4, 4, 4, 2, 2, 1, 2, 0, 3, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 4, 0, 3, 3, 2, 3, 1, 4, 0, 0, 2, 1, 1, 1, 1, 3, 2, 4, 4, 1, 4, 2, 1, 3, 2, 0, 1, 2, 1, 3, 1, 0, 2, 4, 2, 3, 3, 2, 0, 4, 0, 2, 1, 2, 0, 3, 0, 4, 4, 0, 4, 3, 1, 1, 4, 4, 1, 2, 1, 0, 2, 1, 4, 1, 2, 0, 1, 1, 2, 4, 2, 1, 3, 3, 2, 2, 1, 3, 0, 4, 4, 3, 1, 1, 0, 4, 4, 2, 1, 3, 1, 2, 3, 4, 3, 0, 0, 4, 3, 2, 1, 1, 1, 1, 1, 4, 1, 3, 4, 0, 4, 3, 0, 0, 0, 3, 0, 3, 2, 4, 1, 3, 1, 2, 2, 3, 0, 4, 1, 3, 0, 0, 1, 3, 2, 3, 1, 1, 3, 4, 3, 4, 3, 0, 0, 0, 4, 2, 0, 4, 4, 3, 0, 4, 0, 4, 3, 1, 1, 0, 4, 1, 4, 2, 2, 4, 4, 4, 0, 4, 2, 4, 2, 4, 2, 1]
pubkeycol851 = [1, 0, 3, 2, 3, 2, 2, 0, 3, 1, 4, 4, 3, 3, 4, 4, 2, 3, 4, 3, 4, 1, 3, 0, 3, 2, 3, 1, 1, 2, 0, 0, 1, 1, 2, 3, 4, 1, 4, 3, 0, 1, 2, 3, 0, 2, 3, 2, 0, 0, 1, 2, 3, 3, 3, 0, 0, 3, 2, 1, 0, 0, 2, 1, 0, 2, 0, 4, 2, 0, 3, 3, 3, 4, 1, 4, 2, 3, 4, 1, 1, 0, 1, 0, 4, 3, 4, 4, 2, 1, 1, 1, 1, 0, 3, 4, 4, 1, 0, 3, 3, 3, 2, 0, 0, 0, 0, 1, 3, 0, 0, 1, 1, 3, 3, 2, 3, 0, 4, 2, 1, 2, 1, 4, 4, 2, 3, 4, 1, 0, 0, 0, 0, 3, 2, 0, 3, 2, 2, 2, 3, 3, 3, 0, 4, 4, 3, 1, 0, 3, 4, 1, 0, 4, 2, 4, 3, 0, 0, 4, 1, 3, 3, 3, 2, 1, 2, 4, 2, 1, 4, 0, 0, 2, 3, 0, 1, 0, 0, 3, 1, 2, 3, 4, 1, 1, 1, 4, 4, 3, 1, 4, 3, 3, 3, 2, 2, 3, 3, 0, 1, 1, 3, 2, 4, 1, 2, 4, 3, 3, 0, 0, 3, 4, 3, 1, 1, 3, 1, 3, 3, 2, 3, 1, 1, 3, 0, 0, 1, 4, 4, 3, 0, 1, 0, 4, 2, 1, 2, 4, 4, 0, 2, 4, 0, 0, 2, 2, 3, 3, 0, 2, 4, 0, 3, 2, 4, 4, 1, 1, 0, 4, 2, 4, 1, 1, 4, 0, 1, 1, 0, 2, 4, 0, 2, 4, 3, 3, 3, 1, 4, 1, 0, 2, 3, 1, 3, 1, 1, 0, 0, 1, 2, 3, 3, 0, 1, 3, 0, 4, 2, 2, 1, 1, 2, 2, 4, 0, 1, 1, 0, 3, 1, 4, 4, 1, 4, 0, 0, 3, 1, 0, 3, 2, 1, 2, 4, 1, 1, 0, 0, 0, 4, 1, 1, 4, 2, 0, 0, 3, 0, 3, 1, 3, 3, 1, 0, 1, 4, 3, 1, 0, 2, 0, 4, 4, 3, 3, 0, 3, 0, 1, 4, 3, 2, 4, 3, 1, 2, 4, 4, 3, 0, 0, 3, 4, 3, 3, 3, 4, 2, 3, 4, 1, 2, 0, 1, 2, 2, 4, 2, 4, 1, 1, 0, 1, 1, 2, 4, 0]
pubkeycol852 = [1, 2, 4, 1, 0, 3, 0, 2, 3, 4, 2, 2, 0, 3, 2, 2, 2, 2, 1, 3, 2, 1, 3, 4, 2, 3, 2, 4, 0, 4, 2, 3, 0, 4, 0, 3, 1, 4, 0, 4, 1, 2, 0, 3, 2, 0, 0, 4, 1, 0, 3, 1, 2, 1, 4, 2, 3, 0, 0, 2, 2, 0, 4, 2, 4, 1, 4, 4, 1, 1, 2, 4, 0, 1, 0, 2, 3, 2, 1, 3, 0, 2, 3, 2, 1, 2, 1, 3, 1, 1, 3, 3, 4, 3, 3, 4, 4, 4, 0, 0, 4, 3, 3, 3, 3, 0, 4, 1, 0, 3, 2, 4, 2, 4, 0, 4, 0, 1, 3, 4, 1, 0, 0, 4, 0, 3, 0, 1, 1, 4, 1, 1, 0, 0, 0, 2, 1, 0, 3, 0, 2, 1, 3, 2, 3, 0, 2, 3, 0, 1, 1, 0, 4, 3, 2, 2, 1, 4, 4, 3, 4, 4, 3, 4, 4, 4, 0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 4, 3, 1, 1, 4, 4, 2, 4, 0, 1, 2, 1, 1, 1, 1, 0, 3, 1, 0, 4, 2, 1, 2, 2, 4, 4, 2, 0, 4, 2, 1, 0, 2, 3, 4, 3, 2, 2, 0, 2, 3, 1, 2, 3, 0, 1, 0, 3, 2, 0, 3, 2, 0, 3, 2, 1, 3, 4, 4, 4, 1, 2, 3, 3, 1, 2, 1, 2, 3, 0, 0, 3, 2, 4, 3, 0, 3, 0, 2, 4, 1, 3, 0, 3, 2, 1, 2, 1, 2, 2, 0, 1, 1, 4, 4, 0, 0, 3, 4, 3, 2, 3, 0, 3, 0, 0, 2, 0, 0, 2, 4, 4, 3, 2, 1, 4, 2, 3, 0, 3, 2, 3, 0, 4, 0, 4, 0, 4, 2, 1, 3, 0, 1, 2, 0, 2, 0, 4, 0, 2, 0, 2, 4, 4, 0, 4, 0, 0, 4, 2, 4, 3, 2, 1, 1, 0, 2, 0, 2, 2, 4, 1, 0, 4, 4, 2, 3, 2, 4, 0, 2, 0, 2, 4, 0, 1, 1, 0, 1, 3, 2, 1, 4, 0, 1, 0, 2, 1, 3, 4, 2, 1, 4, 0, 3, 0, 2, 2, 1, 0, 2, 3, 4, 4, 4, 0, 0, 0, 2, 2, 2, 2, 1, 4, 0, 1, 2, 3, 4, 1, 1, 2, 4, 0]
pubkeycol853 = [1, 4, 2, 0, 1, 0, 3, 0, 0, 2, 0, 4, 4, 2, 0, 0, 4, 0, 1, 3, 0, 2, 4, 3, 0, 2, 2, 4, 2, 2, 2, 3, 4, 0, 0, 3, 0, 2, 3, 4, 0, 4, 4, 4, 3, 1, 2, 1, 0, 4, 1, 2, 3, 3, 0, 3, 1, 4, 4, 3, 1, 3, 4, 0, 0, 3, 0, 0, 0, 3, 4, 0, 1, 3, 0, 3, 3, 1, 4, 0, 3, 2, 0, 2, 2, 2, 4, 1, 0, 2, 3, 0, 2, 2, 2, 2, 1, 3, 0, 3, 2, 1, 0, 3, 3, 0, 0, 3, 4, 3, 4, 2, 1, 2, 1, 4, 1, 1, 4, 2, 1, 1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 0, 3, 4, 4, 2, 4, 0, 1, 0, 3, 2, 3, 0, 4, 4, 2, 3, 3, 4, 4, 1, 3, 3, 2, 1, 2, 3, 2, 4, 0, 4, 0, 4, 3, 1, 2, 3, 1, 4, 3, 0, 2, 2, 1, 4, 0, 3, 4, 4, 1, 2, 2, 0, 1, 3, 4, 0, 3, 3, 3, 4, 4, 4, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 4, 3, 4, 1, 2, 3, 2, 4, 1, 1, 0, 1, 3, 2, 4, 0, 4, 3, 1, 3, 4, 0, 4, 4, 1, 3, 4, 2, 2, 4, 0, 0, 1, 1, 1, 4, 4, 4, 1, 4, 1, 3, 2, 2, 0, 2, 1, 1, 1, 3, 4, 2, 0, 1, 3, 0, 0, 0, 0, 3, 0, 3, 4, 1, 4, 0, 1, 2, 0, 1, 2, 3, 2, 3, 2, 2, 3, 2, 2, 0, 3, 0, 1, 4, 3, 4, 0, 1, 4, 2, 0, 3, 2, 3, 2, 0, 2, 3, 4, 2, 1, 4, 4, 1, 4, 0, 0, 4, 3, 3, 3, 1, 2, 2, 2, 2, 0, 4, 3, 2, 4, 3, 1, 1, 3, 3, 4, 1, 2, 1, 2, 4, 4, 3, 3, 3, 0, 3, 3, 3, 1, 1, 4, 0, 0, 4, 4, 1, 1, 1, 4, 1, 4, 0, 4, 1, 3, 0, 3, 4, 3, 3, 0, 3, 4, 4, 4, 1, 3, 4, 1, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 2, 0, 1, 3, 3, 0, 1]
pubkeycol854 = [2, 0, 1, 2, 2, 2, 3, 1, 3, 3, 0, 1, 3, 2, 3, 2, 4, 1, 1, 2, 2, 1, 3, 0, 2, 1, 3, 0, 4, 4, 1, 3, 4, 3, 4, 1, 3, 2, 1, 4, 2, 4, 1, 1, 4, 3, 2, 1, 1, 1, 4, 3, 0, 4, 1, 2, 1, 1, 1, 1, 3, 0, 2, 3, 4, 4, 3, 4, 0, 2, 0, 1, 0, 4, 4, 1, 2, 0, 0, 1, 4, 0, 3, 2, 4, 3, 3, 2, 2, 3, 4, 2, 0, 3, 2, 4, 1, 0, 0, 0, 3, 2, 3, 2, 2, 4, 1, 2, 2, 2, 1, 1, 2, 4, 0, 3, 1, 0, 2, 2, 3, 0, 4, 2, 4, 2, 3, 3, 2, 3, 0, 4, 3, 0, 0, 2, 2, 0, 2, 1, 0, 3, 4, 1, 3, 0, 1, 2, 3, 3, 4, 2, 3, 4, 2, 3, 1, 2, 2, 0, 3, 0, 4, 2, 4, 0, 1, 3, 2, 0, 0, 0, 4, 1, 0, 1, 4, 0, 0, 1, 4, 2, 0, 0, 2, 2, 2, 4, 1, 4, 0, 3, 2, 0, 0, 4, 1, 4, 2, 2, 2, 3, 2, 3, 4, 0, 1, 4, 4, 2, 1, 2, 1, 2, 2, 2, 3, 0, 0, 3, 1, 2, 1, 0, 3, 4, 3, 1, 3, 3, 3, 0, 0, 4, 1, 2, 3, 2, 3, 3, 2, 1, 0, 1, 4, 4, 1, 4, 0, 1, 2, 4, 4, 0, 3, 3, 4, 3, 0, 3, 0, 1, 0, 3, 2, 2, 4, 4, 2, 3, 4, 2, 1, 0, 4, 3, 0, 1, 4, 0, 1, 0, 3, 0, 2, 0, 3, 2, 0, 1, 2, 4, 4, 4, 1, 2, 3, 4, 1, 0, 2, 3, 4, 4, 4, 4, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 4, 0, 0, 3, 4, 1, 1, 1, 0, 1, 1, 4, 3, 1, 0, 1, 1, 2, 3, 4, 1, 2, 3, 0, 2, 2, 4, 0, 4, 1, 2, 4, 3, 4, 4, 1, 4, 1, 4, 1, 0, 1, 4, 3, 1, 2, 4, 3, 2, 3, 4, 1, 1, 1, 1, 0, 1, 4, 3, 0, 4, 4, 0, 2, 2, 3, 1, 1, 4, 3, 4, 0, 2, 3, 2, 0, 2, 4, 4, 0, 1, 0, 4]
pubkeycol855 = [3, 0, 3, 2, 0, 2, 0, 3, 3, 4, 2, 2, 3, 0, 3, 0, 3, 2, 0, 0, 1, 2, 4, 0, 3, 1, 0, 4, 2, 2, 0, 2, 1, 4, 1, 4, 1, 1, 0, 4, 3, 0, 2, 3, 3, 2, 1, 1, 0, 3, 0, 1, 3, 3, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 0, 4, 4, 4, 1, 3, 0, 2, 0, 1, 4, 3, 3, 1, 1, 4, 2, 1, 2, 1, 4, 2, 2, 2, 4, 1, 0, 0, 0, 1, 2, 2, 1, 3, 2, 4, 3, 3, 4, 1, 1, 4, 3, 2, 3, 0, 4, 4, 0, 2, 0, 4, 2, 0, 2, 1, 0, 2, 0, 4, 1, 2, 2, 4, 0, 3, 1, 3, 4, 1, 1, 2, 3, 0, 1, 0, 0, 1, 2, 3, 0, 1, 2, 0, 3, 0, 2, 0, 0, 4, 0, 3, 0, 1, 1, 1, 2, 0, 2, 4, 1, 4, 0, 3, 4, 2, 1, 2, 2, 1, 4, 1, 4, 1, 2, 1, 2, 4, 4, 2, 1, 1, 4, 1, 1, 1, 0, 0, 2, 1, 2, 0, 3, 2, 1, 4, 4, 0, 1, 0, 3, 0, 2, 4, 2, 2, 3, 2, 2, 1, 4, 1, 2, 0, 2, 4, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 1, 4, 0, 0, 2, 1, 2, 3, 2, 2, 3, 1, 2, 3, 0, 1, 1, 4, 1, 4, 4, 0, 1, 1, 3, 1, 0, 1, 0, 4, 3, 2, 2, 2, 0, 2, 4, 1, 0, 0, 2, 2, 4, 3, 0, 3, 3, 0, 3, 1, 4, 0, 0, 3, 1, 4, 1, 1, 2, 3, 3, 1, 3, 3, 3, 0, 2, 3, 1, 1, 0, 1, 0, 2, 3, 0, 1, 4, 0, 1, 4, 4, 2, 3, 2, 2, 3, 2, 1, 0, 0, 0, 4, 0, 4, 1, 3, 3, 2, 0, 1, 1, 1, 3, 2, 4, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 3, 0, 3, 0, 1, 4, 4, 1, 1, 2, 4, 4, 1, 1, 4, 4, 3, 3, 1, 1, 1, 4, 2, 3, 1, 1, 1, 0, 3, 1, 4, 0, 2, 4, 0, 0, 2, 3, 2, 2, 2, 4, 3, 2, 1, 2, 0, 1, 1, 2, 3, 4, 1, 3]
pubkeycol856 = [0, 1, 3, 0, 2, 3, 3, 0, 3, 0, 3, 1, 2, 4, 4, 2, 0, 2, 4, 1, 0, 1, 2, 1, 2, 4, 4, 0, 1, 1, 4, 0, 4, 1, 4, 0, 3, 1, 0, 0, 1, 1, 2, 4, 2, 3, 2, 0, 2, 3, 0, 1, 4, 1, 0, 1, 1, 2, 4, 3, 2, 2, 2, 4, 0, 0, 3, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 4, 4, 2, 4, 1, 2, 4, 3, 0, 4, 4, 1, 2, 4, 0, 1, 3, 0, 1, 0, 4, 0, 0, 4, 2, 1, 3, 2, 1, 2, 3, 0, 4, 1, 3, 3, 0, 1, 4, 1, 4, 1, 2, 0, 3, 4, 1, 3, 1, 2, 3, 4, 2, 4, 0, 2, 2, 1, 1, 3, 0, 2, 3, 0, 2, 1, 0, 4, 2, 4, 3, 3, 4, 4, 0, 1, 3, 2, 1, 4, 1, 3, 1, 4, 1, 1, 3, 3, 0, 4, 3, 4, 4, 4, 0, 4, 1, 1, 4, 2, 4, 3, 2, 4, 4, 4, 3, 3, 2, 4, 2, 4, 0, 3, 3, 3, 1, 4, 1, 4, 2, 0, 2, 1, 4, 3, 1, 0, 0, 3, 1, 1, 1, 3, 0, 0, 1, 3, 4, 3, 1, 1, 0, 2, 2, 0, 1, 4, 2, 2, 4, 1, 4, 2, 0, 3, 3, 1, 2, 0, 3, 3, 4, 1, 2, 1, 4, 4, 2, 2, 4, 4, 0, 1, 1, 3, 3, 3, 3, 4, 4, 0, 1, 4, 2, 2, 2, 4, 3, 4, 4, 1, 1, 3, 2, 4, 3, 4, 3, 0, 0, 1, 3, 3, 0, 1, 0, 0, 1, 1, 3, 0, 3, 2, 3, 4, 4, 2, 1, 2, 3, 4, 1, 1, 0, 2, 2, 4, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 4, 1, 2, 1, 3, 3, 4, 1, 1, 0, 3, 4, 3, 3, 2, 4, 0, 1, 3, 3, 4, 3, 2, 1, 3, 0, 2, 2, 4, 4, 3, 4, 2, 2, 1, 0, 3, 2, 4, 2, 0, 2, 3, 3, 2, 2, 4, 4, 4, 3, 0, 0, 4, 4, 3, 0, 0, 4, 3, 1, 2, 2, 1, 1, 3, 2, 1, 3, 1, 4, 4, 2, 3, 1, 0, 2, 4, 4, 0, 2, 1, 2, 0, 1]
pubkeycol857 = [3, 4, 3, 2, 2, 1, 0, 1, 3, 0, 2, 3, 3, 2, 0, 3, 2, 4, 2, 2, 0, 1, 3, 2, 2, 1, 1, 2, 1, 1, 1, 4, 2, 3, 2, 2, 4, 4, 4, 1, 1, 0, 4, 3, 1, 3, 0, 1, 2, 3, 2, 4, 4, 4, 0, 2, 1, 1, 4, 3, 4, 0, 2, 0, 2, 3, 2, 1, 1, 2, 1, 1, 2, 0, 1, 4, 1, 0, 4, 0, 2, 4, 4, 4, 0, 0, 0, 3, 3, 0, 2, 3, 1, 4, 2, 4, 1, 4, 0, 0, 3, 4, 2, 3, 1, 1, 0, 4, 2, 2, 1, 2, 0, 4, 1, 3, 1, 2, 4, 4, 1, 1, 2, 0, 3, 3, 3, 2, 2, 2, 2, 4, 2, 1, 3, 0, 3, 1, 3, 0, 4, 0, 0, 1, 1, 0, 4, 4, 1, 0, 1, 0, 3, 1, 2, 2, 1, 4, 3, 2, 0, 0, 1, 0, 3, 1, 4, 0, 0, 4, 0, 0, 0, 1, 1, 1, 2, 4, 1, 0, 0, 4, 1, 1, 1, 4, 4, 3, 1, 3, 4, 3, 4, 3, 0, 4, 1, 4, 4, 2, 2, 2, 0, 3, 2, 1, 2, 4, 1, 0, 2, 4, 0, 4, 4, 2, 3, 1, 1, 2, 1, 3, 2, 3, 3, 2, 2, 1, 2, 4, 0, 1, 4, 4, 3, 2, 0, 2, 4, 2, 1, 1, 2, 2, 2, 3, 2, 3, 3, 4, 1, 4, 2, 0, 2, 1, 0, 4, 2, 0, 2, 4, 1, 2, 4, 1, 3, 2, 1, 1, 0, 3, 4, 0, 3, 0, 1, 2, 3, 4, 4, 1, 2, 0, 1, 4, 4, 3, 0, 0, 4, 3, 4, 0, 2, 1, 0, 2, 4, 0, 4, 4, 2, 2, 1, 3, 4, 0, 1, 3, 4, 3, 3, 2, 1, 0, 0, 0, 2, 4, 3, 4, 2, 0, 2, 2, 0, 0, 3, 1, 3, 1, 2, 0, 0, 3, 4, 2, 4, 0, 3, 0, 4, 4, 3, 4, 2, 2, 0, 3, 2, 2, 1, 3, 0, 3, 0, 0, 1, 2, 3, 3, 0, 4, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 3, 1, 1, 1, 1, 0, 1, 4, 4, 4, 1, 3, 0, 0, 2, 4, 2, 4, 1, 1, 1, 4, 3, 2]
pubkeycol858 = [2, 2, 1, 3, 0, 1, 0, 0, 1, 0, 2, 4, 2, 1, 2, 1, 4, 2, 1, 4, 4, 0, 3, 0, 4, 1, 1, 2, 1, 2, 2, 4, 0, 4, 0, 0, 0, 4, 4, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 4, 3, 2, 4, 3, 0, 3, 3, 0, 1, 4, 2, 4, 2, 0, 2, 4, 4, 4, 3, 0, 2, 1, 2, 1, 4, 0, 3, 3, 1, 2, 0, 2, 3, 0, 4, 3, 2, 2, 2, 4, 2, 1, 2, 1, 2, 2, 0, 1, 3, 3, 0, 3, 4, 2, 3, 0, 3, 0, 1, 1, 0, 1, 3, 2, 0, 2, 4, 2, 3, 2, 3, 2, 1, 2, 0, 1, 3, 4, 0, 3, 4, 0, 4, 3, 4, 4, 1, 1, 1, 4, 0, 4, 0, 0, 3, 1, 4, 2, 1, 0, 2, 3, 1, 3, 0, 2, 0, 2, 0, 2, 1, 3, 1, 2, 1, 4, 3, 0, 2, 3, 1, 4, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 4, 2, 4, 2, 3, 3, 4, 0, 0, 4, 4, 0, 2, 0, 4, 2, 4, 0, 0, 3, 1, 1, 2, 3, 4, 3, 4, 4, 1, 2, 1, 0, 3, 3, 3, 2, 1, 2, 0, 1, 1, 1, 0, 4, 4, 4, 2, 1, 2, 0, 3, 2, 4, 2, 3, 4, 0, 1, 3, 0, 0, 2, 1, 4, 0, 0, 3, 3, 2, 2, 4, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 3, 3, 0, 3, 1, 2, 3, 0, 3, 0, 4, 0, 3, 1, 4, 2, 4, 0, 2, 4, 1, 0, 0, 3, 0, 4, 1, 4, 1, 0, 2, 0, 0, 2, 4, 3, 2, 3, 2, 1, 0, 4, 2, 2, 1, 4, 2, 0, 1, 3, 3, 2, 3, 3, 0, 4, 1, 2, 3, 4, 1, 4, 0, 4, 2, 1, 1, 4, 1, 1, 3, 4, 0, 2, 4, 0, 0, 4, 0, 4, 1, 4, 3, 1, 1, 1, 2, 2, 1, 1, 3, 4, 3, 1, 1, 3, 1, 1, 1, 3, 4, 4, 4, 2, 1, 3, 4, 0, 4, 4, 1, 0, 0, 3, 0, 4, 4, 2, 4, 0, 2, 3, 2, 2, 4, 0, 0, 0, 0, 0, 2, 2]
pubkeycol859 = [4, 4, 2, 4, 2, 3, 1, 2, 3, 4, 1, 4, 3, 1, 2, 2, 2, 2, 2, 1, 1, 4, 2, 4, 4, 0, 1, 3, 4, 2, 3, 0, 2, 0, 4, 3, 3, 1, 2, 3, 2, 3, 4, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 3, 1, 2, 4, 3, 2, 0, 2, 0, 4, 3, 0, 0, 1, 2, 0, 1, 1, 1, 4, 3, 0, 3, 2, 4, 4, 3, 0, 2, 2, 1, 1, 1, 0, 2, 0, 4, 4, 4, 1, 1, 4, 0, 3, 4, 2, 0, 4, 1, 3, 0, 1, 4, 2, 1, 0, 3, 2, 4, 3, 2, 1, 4, 1, 1, 1, 2, 4, 0, 3, 0, 4, 3, 1, 3, 4, 4, 0, 3, 2, 2, 3, 1, 4, 1, 0, 2, 0, 2, 1, 4, 2, 3, 3, 0, 3, 3, 4, 4, 1, 4, 1, 4, 0, 0, 3, 3, 1, 4, 1, 3, 4, 3, 1, 1, 4, 2, 0, 1, 3, 1, 1, 1, 1, 3, 0, 3, 3, 1, 4, 0, 3, 1, 0, 4, 1, 1, 0, 0, 3, 2, 4, 2, 2, 1, 3, 4, 2, 1, 0, 0, 1, 1, 2, 3, 1, 2, 2, 3, 0, 1, 0, 2, 2, 1, 4, 0, 1, 1, 4, 3, 3, 4, 0, 0, 3, 2, 2, 0, 4, 4, 3, 3, 1, 2, 0, 3, 4, 1, 0, 1, 0, 1, 3, 2, 4, 3, 2, 1, 3, 0, 2, 3, 1, 1, 0, 4, 1, 0, 1, 4, 2, 4, 1, 2, 4, 4, 2, 4, 1, 1, 4, 1, 4, 0, 2, 2, 3, 0, 2, 0, 0, 1, 4, 1, 3, 0, 1, 2, 0, 4, 0, 3, 3, 2, 3, 2, 0, 0, 1, 4, 4, 4, 2, 3, 4, 3, 2, 1, 4, 4, 3, 3, 0, 1, 1, 1, 3, 3, 0, 0, 1, 3, 4, 0, 1, 2, 3, 2, 0, 3, 0, 2, 1, 3, 4, 4, 2, 0, 2, 3, 0, 0, 2, 0, 1, 2, 1, 2, 4, 2, 3, 2, 2, 1, 4, 4, 1, 4, 1, 1, 2, 2, 4, 3, 0, 4, 4, 1, 0, 2, 3, 3, 0, 1, 2, 0, 4, 2, 0, 3, 4, 2, 0, 1, 4, 0, 0, 3, 4, 1, 2, 0, 1]
pubkeycol860 = [1, 2, 1, 2, 1, 4, 4, 3, 2, 4, 2, 1, 2, 2, 3, 1, 4, 0, 0, 4, 0, 2, 2, 0, 2, 2, 2, 1, 4, 1, 4, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 4, 0, 4, 1, 0, 4, 0, 3, 2, 4, 2, 1, 4, 2, 3, 1, 3, 4, 0, 1, 1, 4, 4, 2, 1, 0, 4, 2, 3, 4, 3, 4, 0, 3, 4, 0, 0, 0, 2, 4, 4, 3, 4, 0, 2, 4, 3, 1, 0, 1, 4, 1, 4, 4, 2, 3, 4, 2, 3, 2, 1, 3, 3, 1, 1, 1, 2, 4, 1, 4, 1, 2, 2, 2, 2, 0, 1, 3, 1, 2, 1, 2, 4, 3, 3, 2, 2, 0, 4, 3, 1, 2, 0, 2, 2, 0, 3, 1, 4, 4, 0, 2, 3, 3, 2, 1, 3, 2, 1, 2, 0, 2, 3, 2, 2, 0, 0, 1, 0, 4, 4, 1, 0, 2, 4, 2, 0, 0, 1, 0, 1, 0, 2, 2, 3, 0, 3, 0, 4, 0, 0, 1, 3, 4, 0, 3, 0, 3, 1, 0, 3, 3, 0, 1, 4, 3, 3, 0, 2, 1, 4, 1, 2, 1, 1, 4, 1, 3, 2, 3, 2, 0, 2, 0, 2, 0, 0, 3, 0, 1, 0, 0, 4, 0, 2, 0, 3, 1, 0, 3, 3, 4, 3, 0, 3, 2, 2, 1, 3, 0, 0, 4, 2, 4, 4, 3, 3, 2, 1, 3, 1, 1, 2, 0, 1, 0, 2, 1, 4, 1, 2, 3, 2, 3, 1, 4, 2, 4, 4, 1, 4, 4, 2, 1, 0, 2, 2, 0, 0, 1, 2, 4, 3, 3, 3, 2, 2, 0, 0, 2, 2, 2, 3, 4, 3, 0, 2, 2, 4, 3, 2, 3, 4, 1, 1, 1, 4, 4, 4, 0, 1, 2, 2, 0, 0, 4, 2, 3, 0, 2, 2, 3, 1, 2, 3, 2, 1, 2, 3, 2, 4, 0, 1, 1, 0, 2, 0, 2, 4, 2, 2, 2, 1, 3, 4, 0, 2, 3, 0, 4, 1, 0, 3, 1, 3, 2, 0, 3, 1, 1, 0, 0, 4, 3, 4, 0, 0, 4, 4, 4, 3, 1, 2, 2, 2, 0, 2, 1, 3, 1, 0, 2, 3, 3, 3, 0, 3, 0, 4, 4, 3, 0, 4, 1, 3, 2, 2, 1, 0]
pubkeycol861 = [0, 2, 3, 3, 3, 0, 1, 4, 0, 3, 0, 0, 3, 3, 1, 2, 2, 1, 2, 3, 4, 1, 0, 2, 0, 4, 0, 0, 2, 2, 4, 1, 4, 4, 1, 3, 2, 2, 2, 4, 1, 2, 3, 1, 2, 3, 2, 0, 0, 1, 1, 1, 2, 3, 3, 1, 1, 0, 3, 2, 4, 0, 0, 1, 0, 2, 0, 3, 4, 0, 4, 0, 3, 4, 2, 1, 3, 2, 2, 2, 0, 4, 0, 1, 3, 1, 4, 4, 4, 3, 0, 2, 1, 4, 2, 3, 3, 1, 4, 1, 1, 2, 0, 4, 3, 3, 4, 2, 4, 4, 0, 3, 1, 1, 2, 0, 3, 1, 1, 1, 3, 2, 2, 1, 2, 2, 1, 4, 2, 0, 0, 0, 3, 2, 0, 3, 4, 2, 4, 2, 4, 2, 1, 0, 0, 3, 3, 4, 0, 0, 3, 0, 0, 0, 3, 3, 0, 4, 2, 0, 2, 3, 0, 2, 4, 0, 1, 1, 1, 3, 2, 2, 4, 1, 4, 4, 3, 1, 3, 3, 2, 3, 2, 2, 0, 0, 4, 1, 2, 4, 1, 4, 0, 0, 2, 2, 0, 0, 1, 3, 2, 1, 2, 1, 4, 1, 4, 3, 1, 0, 0, 0, 2, 2, 4, 3, 4, 1, 2, 0, 3, 0, 1, 3, 2, 4, 2, 3, 3, 2, 4, 4, 3, 2, 3, 0, 1, 3, 2, 3, 2, 2, 2, 1, 1, 4, 0, 4, 3, 1, 2, 4, 0, 0, 0, 3, 3, 4, 4, 2, 4, 2, 2, 1, 4, 3, 1, 4, 0, 0, 1, 0, 2, 2, 4, 3, 0, 1, 2, 2, 0, 1, 2, 3, 2, 0, 1, 1, 4, 4, 1, 4, 4, 2, 1, 1, 0, 1, 3, 1, 3, 1, 2, 4, 1, 3, 1, 3, 0, 0, 3, 1, 4, 0, 1, 2, 0, 3, 2, 4, 1, 0, 4, 3, 0, 3, 1, 1, 2, 2, 2, 4, 0, 4, 0, 2, 4, 2, 2, 2, 1, 2, 2, 2, 4, 4, 2, 3, 3, 2, 3, 3, 1, 1, 2, 3, 4, 0, 0, 4, 2, 1, 0, 2, 2, 4, 4, 2, 2, 0, 4, 2, 1, 4, 2, 1, 1, 3, 3, 4, 0, 3, 0, 4, 0, 3, 3, 2, 2, 0, 3, 3, 0, 4, 1, 2, 2, 2, 3, 0]
pubkeycol862 = [0, 0, 1, 2, 3, 1, 1, 1, 0, 4, 4, 3, 0, 0, 4, 0, 1, 3, 1, 0, 3, 2, 2, 1, 0, 4, 2, 4, 1, 2, 1, 0, 2, 0, 1, 3, 1, 3, 2, 2, 3, 1, 0, 0, 4, 1, 0, 2, 1, 3, 0, 2, 3, 4, 1, 4, 0, 3, 2, 4, 1, 2, 2, 1, 2, 4, 0, 4, 2, 3, 0, 2, 2, 1, 0, 0, 0, 4, 4, 0, 0, 0, 3, 3, 3, 3, 1, 3, 0, 4, 0, 4, 3, 4, 0, 4, 1, 0, 4, 2, 3, 3, 4, 4, 3, 3, 1, 0, 0, 4, 1, 2, 2, 2, 3, 2, 3, 2, 4, 2, 2, 4, 2, 4, 3, 1, 3, 4, 0, 3, 2, 2, 4, 3, 4, 3, 4, 1, 2, 1, 4, 2, 1, 1, 3, 2, 2, 1, 0, 1, 2, 4, 4, 3, 1, 4, 1, 2, 3, 2, 2, 3, 2, 3, 2, 0, 4, 0, 3, 4, 3, 4, 2, 0, 1, 1, 1, 0, 4, 4, 1, 3, 4, 2, 4, 0, 1, 2, 4, 2, 3, 2, 0, 1, 1, 0, 3, 2, 4, 1, 2, 4, 1, 0, 1, 1, 0, 3, 3, 1, 3, 0, 2, 3, 2, 2, 0, 4, 2, 0, 2, 0, 0, 4, 1, 4, 4, 2, 0, 4, 0, 2, 2, 2, 2, 4, 3, 2, 3, 3, 2, 3, 0, 0, 0, 0, 3, 1, 1, 4, 1, 4, 4, 3, 3, 2, 2, 0, 3, 4, 0, 4, 0, 1, 2, 0, 3, 1, 0, 4, 4, 3, 0, 3, 1, 3, 1, 3, 1, 0, 1, 0, 3, 1, 1, 4, 3, 3, 1, 2, 1, 4, 2, 4, 2, 2, 1, 1, 3, 0, 2, 2, 4, 2, 4, 2, 1, 4, 1, 2, 0, 2, 1, 4, 1, 3, 3, 4, 2, 2, 3, 3, 2, 1, 4, 0, 2, 4, 0, 3, 0, 1, 1, 4, 0, 2, 3, 0, 0, 4, 4, 4, 4, 3, 4, 0, 1, 2, 4, 0, 4, 3, 4, 2, 3, 4, 0, 2, 3, 1, 0, 0, 0, 3, 2, 2, 4, 3, 4, 0, 0, 1, 2, 3, 0, 2, 0, 0, 1, 3, 3, 1, 2, 2, 3, 3, 2, 4, 0, 4, 1, 0, 3, 1, 2, 1, 4, 0, 4, 4]
pubkeycol863 = [4, 0, 2, 2, 2, 3, 0, 2, 0, 1, 0, 1, 1, 4, 2, 0, 2, 3, 2, 1, 1, 2, 2, 1, 4, 1, 4, 0, 0, 1, 1, 2, 3, 2, 3, 0, 0, 2, 1, 1, 3, 0, 4, 1, 2, 2, 0, 0, 3, 1, 4, 0, 0, 2, 1, 1, 0, 3, 1, 0, 1, 0, 3, 3, 4, 2, 4, 4, 4, 2, 3, 2, 0, 2, 2, 3, 0, 0, 3, 4, 0, 3, 1, 4, 4, 2, 2, 3, 2, 0, 0, 3, 4, 2, 3, 3, 4, 3, 3, 0, 3, 4, 1, 4, 1, 4, 4, 4, 2, 2, 1, 4, 0, 4, 1, 0, 4, 0, 0, 3, 4, 3, 0, 4, 1, 0, 3, 3, 4, 2, 4, 0, 4, 2, 0, 4, 0, 2, 2, 0, 1, 4, 3, 3, 1, 0, 4, 2, 3, 0, 1, 4, 4, 3, 3, 1, 3, 2, 3, 4, 0, 4, 1, 3, 1, 3, 2, 4, 2, 1, 4, 3, 4, 0, 1, 3, 2, 2, 4, 1, 2, 2, 0, 4, 3, 2, 1, 2, 3, 4, 2, 0, 0, 3, 3, 1, 4, 0, 2, 3, 3, 4, 4, 0, 3, 4, 0, 1, 4, 0, 1, 2, 2, 1, 3, 1, 1, 4, 4, 1, 4, 0, 3, 1, 4, 0, 0, 2, 1, 4, 4, 3, 1, 1, 2, 3, 2, 4, 0, 0, 3, 1, 2, 0, 1, 2, 3, 4, 4, 4, 2, 3, 4, 1, 2, 2, 2, 2, 2, 3, 2, 1, 1, 0, 3, 0, 2, 1, 1, 3, 4, 3, 4, 1, 3, 1, 1, 1, 1, 2, 1, 4, 3, 0, 3, 0, 1, 4, 0, 1, 1, 2, 0, 0, 3, 0, 4, 1, 1, 2, 0, 0, 4, 3, 0, 2, 0, 0, 1, 3, 4, 1, 2, 2, 2, 2, 3, 3, 0, 4, 4, 0, 1, 0, 3, 4, 3, 3, 4, 4, 4, 0, 2, 4, 0, 2, 2, 1, 4, 2, 2, 0, 0, 1, 0, 0, 2, 4, 3, 3, 1, 2, 0, 3, 4, 2, 1, 2, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 4, 4, 2, 1, 2, 4, 4, 3, 0, 1, 2, 4, 3, 0, 1, 3, 1, 0, 0, 3, 1, 4, 1, 3, 4, 1, 1, 2, 3, 1, 2, 3]
pubkeycol864 = [0, 2, 1, 3, 1, 1, 4, 4, 3, 0, 1, 3, 3, 1, 0, 2, 2, 2, 4, 2, 0, 4, 2, 1, 0, 0, 3, 1, 0, 2, 2, 4, 4, 3, 2, 1, 3, 4, 2, 0, 4, 2, 3, 3, 1, 4, 1, 3, 4, 2, 4, 3, 3, 2, 2, 1, 2, 2, 2, 1, 3, 4, 4, 3, 3, 3, 1, 0, 0, 1, 0, 0, 3, 4, 0, 2, 3, 0, 1, 4, 1, 1, 4, 1, 1, 1, 0, 1, 3, 2, 2, 4, 4, 4, 2, 1, 4, 3, 1, 3, 2, 2, 1, 3, 4, 0, 4, 2, 4, 2, 2, 3, 3, 1, 3, 4, 2, 2, 4, 4, 1, 3, 4, 0, 3, 2, 2, 3, 2, 2, 0, 0, 0, 0, 0, 2, 0, 4, 1, 0, 2, 1, 1, 4, 4, 2, 2, 1, 0, 4, 4, 4, 1, 3, 1, 2, 1, 3, 0, 1, 4, 2, 4, 1, 0, 3, 4, 3, 2, 3, 0, 3, 2, 4, 3, 0, 2, 0, 3, 1, 3, 4, 0, 4, 0, 1, 3, 3, 3, 3, 1, 0, 1, 3, 1, 1, 0, 3, 1, 3, 3, 1, 3, 3, 3, 1, 1, 4, 0, 4, 1, 0, 4, 4, 0, 3, 4, 2, 2, 2, 2, 1, 3, 3, 4, 4, 2, 3, 1, 3, 3, 0, 3, 2, 2, 0, 1, 2, 4, 1, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 4, 2, 1, 2, 2, 3, 1, 1, 0, 2, 2, 0, 1, 3, 3, 4, 1, 3, 3, 0, 0, 3, 3, 4, 4, 0, 3, 3, 4, 0, 2, 0, 2, 2, 0, 4, 0, 1, 0, 2, 2, 2, 1, 1, 3, 2, 4, 1, 1, 4, 2, 1, 0, 2, 1, 2, 4, 1, 2, 4, 1, 0, 1, 0, 2, 0, 4, 1, 3, 4, 1, 2, 3, 1, 0, 2, 3, 2, 1, 4, 0, 1, 2, 0, 4, 4, 4, 3, 3, 0, 0, 3, 4, 4, 2, 0, 2, 3, 3, 1, 2, 2, 3, 1, 4, 0, 2, 4, 0, 2, 0, 2, 4, 1, 3, 4, 0, 0, 0, 1, 3, 0, 2, 2, 1, 2, 4, 4, 2, 2, 2, 1, 1, 0, 3, 4, 0, 0, 3, 1, 0, 0, 0, 3, 4]
pubkeycol865 = [1, 1, 1, 4, 4, 2, 2, 3, 3, 0, 1, 4, 0, 4, 2, 4, 1, 1, 4, 0, 3, 0, 4, 0, 2, 1, 4, 3, 0, 2, 3, 1, 0, 4, 4, 3, 1, 2, 3, 2, 4, 4, 4, 4, 0, 2, 4, 4, 4, 0, 3, 0, 1, 4, 0, 1, 3, 2, 1, 1, 3, 4, 0, 1, 4, 1, 1, 0, 3, 4, 4, 4, 4, 1, 1, 4, 0, 2, 4, 1, 4, 3, 1, 3, 4, 0, 2, 0, 4, 1, 2, 3, 0, 1, 4, 1, 4, 0, 1, 1, 0, 3, 1, 3, 1, 0, 0, 4, 2, 3, 0, 1, 2, 0, 1, 1, 4, 2, 2, 2, 2, 4, 2, 1, 3, 0, 4, 0, 3, 3, 4, 4, 1, 1, 4, 3, 3, 4, 2, 2, 2, 3, 4, 2, 2, 2, 2, 0, 1, 4, 4, 2, 4, 1, 1, 0, 3, 1, 0, 0, 1, 1, 3, 2, 3, 1, 1, 2, 3, 4, 2, 0, 0, 4, 3, 0, 2, 4, 0, 0, 0, 0, 3, 1, 1, 1, 1, 2, 1, 3, 1, 4, 0, 1, 0, 2, 0, 4, 3, 1, 1, 4, 2, 2, 4, 2, 4, 1, 4, 0, 1, 3, 1, 3, 4, 2, 1, 1, 4, 2, 1, 0, 0, 2, 1, 2, 0, 4, 0, 3, 2, 2, 1, 4, 1, 1, 4, 4, 2, 2, 4, 0, 2, 2, 1, 4, 4, 1, 0, 1, 2, 0, 0, 2, 0, 4, 0, 1, 3, 3, 4, 0, 1, 1, 0, 0, 2, 2, 3, 4, 4, 4, 3, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 4, 4, 1, 3, 3, 3, 0, 2, 3, 3, 3, 2, 2, 0, 2, 2, 4, 1, 0, 4, 3, 0, 1, 1, 4, 1, 0, 1, 2, 2, 4, 1, 3, 4, 3, 2, 3, 3, 4, 3, 4, 0, 0, 4, 2, 0, 3, 1, 1, 4, 2, 3, 4, 3, 0, 1, 1, 4, 1, 1, 1, 3, 3, 1, 0, 1, 3, 3, 3, 4, 2, 4, 0, 4, 3, 2, 4, 1, 2, 4, 1, 2, 3, 3, 2, 0, 3, 0, 3, 3, 4, 2, 1, 4, 4, 3, 3, 3, 1, 2, 1, 3, 0, 3, 1, 0, 2, 3, 4, 2, 1, 0, 4, 1, 2, 2, 3]
pubkeycol866 = [2, 3, 4, 4, 2, 1, 2, 3, 4, 4, 4, 1, 3, 0, 0, 3, 4, 3, 1, 1, 3, 2, 4, 2, 4, 3, 1, 4, 0, 2, 3, 4, 4, 0, 0, 3, 2, 3, 1, 0, 4, 0, 2, 4, 4, 3, 2, 3, 1, 2, 2, 1, 0, 0, 4, 2, 2, 0, 0, 1, 0, 0, 3, 4, 1, 3, 2, 1, 1, 1, 2, 0, 0, 0, 4, 2, 1, 4, 3, 2, 1, 1, 3, 2, 1, 4, 3, 2, 3, 1, 0, 4, 3, 1, 4, 0, 2, 2, 2, 4, 4, 2, 4, 4, 0, 2, 3, 2, 3, 0, 3, 1, 1, 1, 2, 0, 2, 3, 4, 0, 4, 4, 4, 4, 1, 1, 4, 3, 0, 3, 0, 1, 4, 4, 1, 4, 3, 1, 3, 3, 4, 3, 3, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 4, 4, 0, 0, 4, 0, 2, 2, 2, 3, 3, 0, 3, 0, 3, 4, 1, 3, 1, 2, 2, 3, 4, 3, 3, 3, 1, 0, 0, 3, 4, 3, 2, 2, 2, 1, 2, 0, 4, 1, 1, 0, 0, 2, 3, 3, 4, 3, 1, 3, 4, 2, 1, 3, 3, 4, 2, 3, 3, 0, 2, 3, 1, 0, 0, 4, 0, 4, 4, 3, 2, 1, 4, 2, 1, 2, 4, 0, 4, 3, 2, 4, 4, 4, 3, 0, 0, 3, 1, 2, 3, 3, 1, 3, 4, 1, 3, 1, 2, 2, 0, 0, 2, 2, 0, 4, 0, 4, 3, 3, 2, 2, 0, 4, 2, 3, 0, 3, 4, 0, 1, 1, 0, 1, 3, 2, 2, 0, 0, 4, 2, 3, 0, 1, 1, 3, 0, 0, 2, 2, 2, 3, 3, 1, 0, 0, 4, 0, 4, 1, 0, 2, 4, 1, 0, 0, 3, 2, 1, 1, 2, 2, 0, 1, 0, 2, 4, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 4, 1, 1, 4, 3, 2, 1, 2, 2, 2, 4, 4, 4, 3, 2, 4, 4, 4, 0, 4, 3, 2, 4, 1, 3, 3, 3, 3, 2, 3, 4, 0, 4, 3, 1, 3, 4, 2, 1, 4, 2, 2, 0, 1, 0, 3, 1, 4, 2, 4, 3, 1, 3, 3, 3, 1, 4, 3, 4, 0, 1, 1, 4, 1, 3, 2, 0, 2]
pubkeycol867 = [3, 2, 1, 0, 4, 4, 1, 1, 3, 4, 0, 4, 4, 2, 4, 3, 1, 3, 0, 1, 1, 1, 2, 3, 3, 0, 2, 4, 3, 0, 0, 2, 4, 4, 0, 4, 2, 3, 4, 0, 4, 3, 0, 1, 1, 4, 0, 1, 0, 2, 2, 2, 0, 3, 3, 2, 2, 4, 3, 1, 0, 3, 3, 0, 1, 2, 2, 2, 4, 1, 0, 2, 2, 0, 4, 2, 0, 3, 0, 1, 2, 0, 4, 3, 2, 4, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 4, 4, 3, 3, 1, 0, 4, 2, 1, 4, 2, 2, 0, 3, 3, 4, 4, 3, 3, 2, 1, 2, 0, 3, 3, 3, 2, 3, 4, 0, 3, 2, 4, 3, 0, 2, 2, 1, 2, 3, 2, 3, 1, 3, 0, 1, 2, 0, 1, 0, 2, 0, 0, 3, 2, 1, 3, 4, 3, 1, 2, 0, 3, 0, 0, 2, 2, 1, 4, 2, 4, 3, 4, 3, 1, 4, 0, 3, 4, 2, 0, 1, 2, 3, 3, 0, 2, 4, 1, 2, 4, 0, 1, 4, 3, 3, 4, 1, 4, 3, 4, 2, 3, 4, 1, 2, 4, 0, 0, 2, 3, 1, 2, 1, 0, 1, 3, 1, 1, 0, 3, 3, 4, 2, 3, 0, 0, 2, 2, 1, 1, 1, 4, 0, 2, 3, 1, 3, 1, 1, 3, 0, 1, 0, 3, 1, 3, 4, 0, 3, 2, 3, 4, 2, 3, 2, 2, 0, 1, 4, 0, 0, 2, 3, 4, 2, 4, 3, 1, 3, 4, 0, 3, 1, 0, 1, 1, 1, 2, 1, 1, 2, 3, 0, 0, 1, 2, 0, 0, 0, 3, 0, 4, 3, 3, 0, 1, 3, 3, 1, 3, 0, 0, 3, 4, 2, 0, 1, 4, 2, 3, 4, 2, 0, 0, 3, 1, 2, 2, 3, 3, 1, 3, 4, 0, 2, 4, 1, 3, 0, 1, 1, 4, 2, 3, 3, 0, 1, 3, 1, 0, 1, 0, 1, 4, 0, 1, 4, 1, 3, 4, 1, 4, 4, 0, 2, 4, 3, 2, 4, 2, 3, 0, 4, 4, 1, 3, 1, 4, 1, 4, 2, 0, 0, 0, 0, 4, 3, 0, 2, 4, 2, 1, 1, 0, 1, 2, 2, 1, 4, 0, 2, 1, 3, 0, 0, 0, 3, 1, 1, 0, 0, 3]
pubkeycol868 = [1, 0, 0, 1, 2, 1, 3, 2, 0, 2, 3, 2, 2, 1, 1, 4, 0, 4, 3, 4, 0, 4, 0, 3, 1, 2, 1, 2, 1, 3, 0, 3, 2, 0, 2, 4, 3, 1, 3, 4, 3, 1, 4, 0, 3, 3, 2, 1, 4, 0, 2, 4, 2, 0, 2, 4, 3, 0, 0, 0, 4, 3, 0, 2, 1, 0, 1, 2, 4, 1, 2, 1, 1, 4, 2, 3, 4, 4, 0, 2, 3, 4, 2, 2, 4, 0, 4, 4, 3, 3, 3, 0, 3, 3, 2, 2, 3, 0, 1, 2, 2, 4, 2, 2, 2, 1, 0, 3, 2, 3, 4, 1, 1, 0, 1, 2, 4, 3, 0, 3, 4, 3, 3, 3, 2, 3, 0, 0, 1, 4, 2, 4, 0, 3, 1, 2, 1, 4, 0, 4, 2, 1, 0, 2, 3, 3, 4, 0, 1, 0, 0, 2, 3, 4, 0, 3, 4, 4, 4, 0, 0, 2, 0, 3, 0, 1, 0, 1, 4, 4, 1, 3, 1, 0, 1, 4, 4, 2, 3, 0, 2, 3, 4, 3, 1, 1, 4, 2, 1, 1, 0, 1, 4, 0, 3, 0, 4, 0, 1, 3, 4, 1, 3, 4, 1, 3, 0, 0, 1, 4, 1, 2, 0, 4, 1, 1, 1, 3, 1, 4, 3, 4, 4, 2, 1, 0, 2, 1, 1, 3, 4, 3, 3, 0, 2, 3, 1, 0, 4, 2, 2, 4, 1, 2, 4, 4, 4, 0, 1, 1, 1, 2, 3, 0, 3, 4, 3, 2, 3, 0, 0, 0, 2, 1, 1, 3, 1, 2, 4, 1, 4, 0, 3, 0, 4, 0, 0, 1, 2, 4, 1, 1, 4, 0, 1, 1, 0, 4, 3, 2, 0, 4, 3, 1, 2, 4, 4, 4, 0, 3, 4, 2, 3, 3, 0, 0, 0, 0, 3, 2, 2, 3, 2, 1, 3, 2, 1, 4, 0, 1, 4, 3, 0, 2, 3, 4, 4, 0, 1, 0, 1, 2, 1, 0, 2, 0, 3, 1, 1, 0, 0, 4, 0, 0, 3, 2, 4, 0, 3, 0, 0, 0, 1, 3, 2, 4, 1, 4, 1, 3, 0, 4, 0, 0, 4, 2, 3, 4, 4, 0, 3, 1, 4, 3, 0, 4, 0, 0, 0, 2, 4, 1, 4, 0, 1, 0, 4, 0, 4, 1, 4, 1, 3, 0, 3, 0, 3, 3, 2, 0]
pubkeycol869 = [1, 4, 0, 2, 0, 4, 0, 4, 4, 3, 4, 1, 2, 4, 1, 4, 4, 1, 2, 4, 0, 2, 2, 3, 1, 3, 0, 2, 1, 0, 1, 1, 0, 1, 4, 1, 3, 3, 2, 4, 3, 4, 2, 2, 2, 1, 0, 1, 2, 0, 4, 2, 1, 3, 3, 0, 2, 0, 4, 3, 4, 3, 3, 3, 1, 1, 1, 2, 3, 4, 2, 2, 0, 0, 0, 3, 2, 0, 0, 4, 2, 2, 1, 1, 2, 0, 0, 3, 4, 3, 0, 2, 3, 3, 4, 3, 3, 0, 3, 3, 3, 1, 2, 0, 1, 3, 0, 0, 3, 1, 0, 0, 2, 2, 2, 1, 1, 4, 0, 0, 0, 4, 0, 2, 1, 0, 2, 3, 4, 3, 3, 3, 3, 3, 4, 0, 0, 0, 0, 1, 1, 3, 3, 1, 2, 1, 2, 1, 3, 4, 1, 0, 0, 4, 1, 1, 4, 1, 0, 4, 4, 3, 2, 4, 2, 4, 0, 4, 4, 1, 3, 1, 3, 3, 3, 2, 2, 0, 2, 3, 4, 1, 4, 4, 4, 3, 4, 4, 0, 3, 4, 3, 0, 4, 0, 1, 3, 0, 3, 3, 1, 0, 0, 0, 3, 0, 0, 3, 4, 1, 0, 1, 0, 2, 4, 3, 0, 0, 1, 2, 1, 3, 2, 4, 2, 3, 2, 0, 0, 0, 0, 3, 4, 1, 0, 2, 0, 2, 4, 2, 2, 3, 3, 2, 3, 0, 2, 0, 0, 2, 1, 3, 3, 3, 4, 0, 4, 4, 4, 3, 4, 3, 4, 4, 0, 0, 0, 3, 3, 2, 4, 1, 4, 3, 1, 2, 1, 3, 4, 1, 4, 0, 2, 3, 3, 0, 2, 4, 2, 1, 4, 4, 4, 3, 3, 0, 1, 2, 1, 3, 0, 0, 1, 0, 3, 0, 3, 0, 0, 2, 4, 4, 0, 3, 1, 0, 2, 3, 2, 0, 0, 3, 1, 2, 0, 4, 4, 3, 3, 4, 0, 1, 4, 2, 4, 4, 0, 2, 0, 1, 4, 2, 2, 4, 2, 3, 1, 0, 2, 3, 2, 3, 2, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 1, 0, 4, 2, 1, 1, 4, 1, 2, 0, 1, 2, 1, 3, 3, 2, 4, 3, 0, 3, 2, 2, 0, 4, 0, 2, 0, 3, 0, 1, 0, 0, 3, 4, 2, 3, 0]
pubkeycol870 = [4, 4, 2, 0, 2, 1, 0, 1, 3, 3, 1, 3, 1, 4, 0, 0, 2, 4, 1, 3, 0, 1, 0, 3, 0, 3, 3, 3, 4, 4, 0, 3, 3, 1, 2, 2, 1, 2, 1, 0, 2, 2, 3, 4, 0, 3, 1, 4, 0, 3, 0, 1, 1, 2, 2, 4, 4, 3, 4, 4, 1, 4, 2, 4, 4, 4, 0, 2, 4, 0, 3, 4, 1, 1, 1, 4, 0, 0, 4, 3, 2, 3, 0, 0, 0, 3, 0, 4, 3, 1, 1, 2, 0, 0, 3, 4, 2, 1, 3, 3, 4, 0, 3, 4, 0, 0, 4, 2, 0, 1, 2, 1, 1, 4, 3, 1, 1, 0, 2, 1, 0, 1, 0, 0, 3, 0, 0, 2, 1, 3, 2, 3, 4, 2, 3, 1, 0, 3, 1, 1, 3, 0, 4, 3, 1, 3, 3, 1, 2, 2, 2, 1, 3, 3, 1, 0, 2, 0, 4, 0, 1, 1, 2, 4, 0, 4, 3, 1, 0, 0, 0, 0, 1, 3, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 4, 4, 4, 1, 4, 1, 4, 1, 3, 2, 1, 1, 0, 2, 3, 2, 1, 1, 0, 1, 1, 4, 2, 1, 0, 1, 1, 2, 3, 0, 3, 4, 2, 1, 2, 1, 1, 1, 1, 0, 1, 4, 2, 3, 1, 1, 0, 2, 3, 1, 0, 3, 0, 1, 3, 4, 4, 3, 1, 2, 2, 2, 1, 2, 0, 3, 1, 1, 4, 0, 3, 1, 3, 2, 0, 0, 1, 1, 2, 1, 0, 4, 3, 0, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 0, 0, 3, 1, 3, 2, 2, 3, 3, 3, 1, 3, 3, 1, 3, 3, 4, 2, 3, 4, 2, 3, 2, 3, 4, 4, 3, 0, 1, 1, 2, 1, 3, 0, 1, 1, 1, 4, 3, 1, 1, 2, 2, 3, 0, 4, 0, 1, 2, 3, 2, 1, 3, 1, 1, 1, 0, 3, 1, 3, 1, 0, 0, 4, 4, 2, 0, 0, 0, 4, 4, 3, 3, 4, 3, 0, 1, 0, 4, 2, 0, 3, 3, 1, 3, 3, 0, 0, 2, 3, 3, 1, 4, 2, 3, 0, 0, 4, 2, 3, 1, 4, 0, 3, 4, 0, 1, 4, 0, 2, 4, 1, 0, 4, 0, 1, 2, 4, 0, 3, 0]
pubkeycol871 = [4, 3, 3, 2, 2, 2, 4, 0, 2, 4, 4, 1, 1, 4, 3, 3, 3, 3, 0, 1, 2, 3, 2, 4, 4, 2, 0, 0, 1, 4, 3, 3, 2, 0, 3, 3, 3, 2, 1, 3, 0, 0, 4, 3, 4, 0, 2, 3, 4, 2, 3, 2, 0, 3, 1, 4, 3, 1, 4, 3, 3, 3, 3, 4, 4, 0, 3, 4, 1, 3, 3, 3, 3, 3, 0, 2, 0, 1, 0, 1, 2, 4, 4, 0, 1, 3, 1, 0, 0, 4, 1, 1, 3, 3, 3, 2, 3, 3, 4, 4, 0, 2, 4, 1, 4, 0, 4, 2, 3, 1, 0, 2, 4, 1, 1, 1, 2, 4, 3, 0, 0, 3, 1, 0, 0, 0, 3, 3, 2, 3, 3, 3, 2, 3, 2, 2, 2, 0, 0, 0, 2, 2, 4, 4, 2, 4, 0, 0, 1, 1, 3, 4, 0, 0, 1, 3, 3, 1, 0, 4, 4, 0, 4, 4, 2, 0, 2, 2, 2, 1, 1, 1, 3, 2, 3, 4, 0, 2, 4, 3, 4, 4, 2, 3, 3, 4, 1, 1, 2, 0, 4, 1, 4, 2, 0, 1, 4, 3, 4, 2, 4, 1, 2, 0, 2, 1, 3, 3, 3, 1, 0, 4, 2, 4, 2, 0, 2, 0, 2, 4, 1, 4, 0, 2, 0, 4, 4, 0, 1, 2, 3, 2, 0, 0, 1, 3, 0, 0, 3, 2, 1, 4, 2, 1, 2, 4, 4, 0, 2, 4, 2, 3, 4, 0, 2, 0, 1, 2, 3, 0, 0, 2, 1, 1, 4, 2, 0, 1, 0, 0, 4, 0, 2, 0, 0, 3, 4, 1, 2, 4, 3, 3, 1, 0, 2, 2, 2, 2, 0, 1, 3, 4, 2, 4, 2, 0, 1, 4, 2, 0, 4, 4, 2, 0, 3, 2, 2, 1, 2, 1, 2, 3, 2, 2, 0, 1, 2, 3, 3, 1, 4, 3, 4, 3, 1, 3, 2, 3, 4, 2, 2, 1, 0, 2, 1, 4, 4, 2, 0, 0, 2, 1, 0, 1, 2, 2, 3, 4, 3, 3, 4, 3, 4, 1, 3, 0, 2, 1, 1, 0, 2, 1, 4, 0, 2, 0, 2, 4, 3, 3, 4, 4, 2, 4, 2, 1, 3, 1, 4, 4, 1, 4, 2, 1, 0, 0, 3, 0, 3, 1, 4, 1, 4, 2, 4, 2, 2, 2, 1, 2]
pubkeycol872 = [0, 4, 4, 0, 4, 0, 0, 0, 3, 0, 3, 2, 1, 4, 2, 2, 0, 2, 0, 4, 1, 0, 4, 2, 0, 4, 3, 3, 1, 2, 1, 3, 2, 2, 4, 2, 1, 0, 1, 4, 4, 4, 2, 3, 3, 0, 0, 3, 1, 2, 4, 0, 3, 2, 4, 0, 3, 4, 3, 4, 0, 4, 1, 2, 4, 2, 1, 1, 0, 1, 0, 4, 0, 3, 4, 3, 1, 1, 1, 0, 4, 3, 4, 0, 1, 3, 1, 3, 4, 4, 4, 4, 1, 1, 3, 1, 4, 4, 0, 0, 4, 3, 1, 0, 3, 1, 2, 1, 4, 4, 3, 1, 3, 3, 4, 3, 1, 1, 0, 1, 0, 3, 4, 3, 0, 3, 0, 1, 3, 2, 3, 0, 4, 3, 1, 3, 2, 1, 0, 3, 1, 1, 2, 2, 2, 2, 3, 2, 4, 3, 0, 3, 0, 0, 4, 0, 4, 0, 4, 0, 1, 0, 2, 1, 4, 3, 0, 0, 1, 3, 2, 2, 2, 0, 3, 3, 3, 3, 2, 2, 4, 2, 2, 4, 3, 4, 0, 1, 3, 1, 4, 1, 4, 0, 1, 1, 0, 3, 0, 4, 1, 0, 0, 0, 4, 4, 2, 2, 1, 0, 1, 1, 4, 0, 0, 4, 4, 3, 1, 2, 2, 2, 4, 3, 0, 0, 2, 0, 3, 0, 2, 2, 1, 1, 3, 1, 3, 3, 2, 1, 3, 0, 4, 3, 1, 1, 2, 1, 0, 4, 2, 3, 2, 3, 0, 4, 1, 3, 1, 4, 3, 3, 2, 3, 3, 3, 2, 4, 2, 1, 0, 1, 1, 4, 1, 3, 4, 4, 0, 3, 4, 1, 3, 4, 2, 2, 3, 0, 2, 3, 4, 3, 0, 2, 2, 1, 0, 3, 4, 3, 3, 3, 1, 0, 1, 4, 3, 0, 0, 4, 2, 4, 4, 4, 1, 2, 3, 0, 1, 0, 4, 3, 4, 2, 1, 2, 3, 0, 1, 0, 0, 4, 4, 4, 2, 2, 3, 3, 3, 4, 2, 0, 3, 4, 4, 3, 3, 4, 1, 0, 4, 1, 2, 3, 2, 4, 0, 1, 4, 1, 0, 3, 1, 2, 1, 0, 2, 4, 4, 0, 2, 2, 3, 1, 0, 2, 1, 3, 1, 3, 2, 4, 2, 2, 1, 1, 2, 3, 3, 0, 4, 0, 1, 1, 3, 4, 4, 1, 2, 1]
pubkeycol873 = [3, 2, 1, 2, 3, 1, 2, 3, 4, 2, 1, 0, 0, 3, 4, 0, 0, 2, 4, 3, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 1, 4, 4, 2, 4, 4, 3, 3, 4, 4, 4, 4, 3, 1, 2, 2, 2, 3, 3, 3, 1, 3, 0, 3, 2, 4, 2, 2, 3, 0, 1, 1, 4, 0, 1, 4, 1, 1, 4, 4, 0, 4, 2, 3, 1, 0, 1, 2, 0, 3, 3, 4, 0, 3, 1, 0, 1, 1, 4, 0, 2, 1, 0, 3, 4, 3, 4, 2, 1, 2, 0, 3, 3, 3, 3, 1, 0, 3, 2, 4, 4, 3, 2, 2, 2, 4, 4, 2, 1, 2, 2, 0, 0, 4, 3, 1, 4, 2, 2, 3, 2, 4, 2, 2, 3, 1, 1, 2, 0, 2, 4, 3, 4, 2, 2, 2, 2, 0, 3, 3, 4, 2, 0, 4, 4, 1, 0, 0, 4, 3, 3, 0, 1, 0, 1, 1, 3, 1, 2, 0, 1, 3, 2, 0, 3, 0, 0, 2, 4, 4, 1, 4, 1, 3, 0, 1, 1, 4, 3, 1, 4, 1, 1, 3, 1, 4, 3, 3, 4, 3, 2, 0, 0, 4, 3, 2, 2, 2, 0, 2, 0, 3, 0, 1, 4, 4, 4, 4, 3, 3, 2, 1, 3, 1, 3, 4, 0, 2, 2, 4, 0, 3, 3, 3, 1, 2, 0, 1, 4, 4, 3, 4, 2, 0, 4, 0, 4, 3, 3, 0, 4, 0, 2, 4, 4, 1, 3, 2, 4, 1, 3, 3, 3, 4, 4, 2, 4, 2, 0, 3, 0, 0, 3, 2, 0, 0, 0, 2, 4, 3, 4, 0, 1, 4, 3, 4, 0, 1, 2, 0, 1, 0, 2, 0, 2, 4, 2, 0, 2, 2, 4, 4, 3, 0, 3, 3, 3, 4, 4, 2, 4, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 3, 0, 1, 4, 0, 0, 2, 3, 3, 3, 0, 2, 0, 0, 2, 0, 1, 1, 3, 3, 1, 0, 4, 3, 3, 3, 4, 0, 0, 1, 1, 4, 1, 0, 3, 4, 3, 3, 3, 2, 1, 4, 1, 2, 4, 0, 3, 1, 3, 0, 0, 4, 1, 3, 0, 0, 0, 3, 4, 4, 2, 0, 3, 3, 4, 1, 1, 0, 4, 2, 2, 4, 3, 0, 0, 2, 0, 1, 4]
pubkeycol874 = [2, 4, 3, 1, 1, 2, 3, 1, 3, 3, 2, 4, 0, 2, 4, 3, 2, 4, 0, 1, 0, 4, 0, 1, 0, 2, 1, 2, 0, 0, 4, 2, 1, 0, 1, 1, 3, 0, 4, 4, 0, 4, 4, 4, 2, 4, 1, 4, 3, 0, 2, 4, 2, 1, 3, 3, 4, 4, 4, 1, 4, 0, 2, 4, 1, 1, 4, 3, 1, 0, 1, 2, 3, 3, 3, 1, 4, 0, 0, 2, 1, 4, 2, 0, 0, 2, 1, 3, 1, 2, 3, 4, 3, 4, 2, 4, 2, 3, 1, 4, 4, 0, 0, 2, 0, 1, 1, 2, 4, 0, 0, 2, 0, 2, 4, 3, 0, 3, 2, 0, 3, 0, 1, 4, 3, 1, 4, 2, 0, 2, 3, 4, 2, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 0, 0, 3, 0, 3, 4, 0, 0, 0, 0, 2, 4, 3, 2, 0, 1, 3, 1, 3, 1, 3, 4, 2, 2, 1, 2, 3, 2, 3, 3, 3, 2, 0, 3, 4, 0, 2, 3, 3, 4, 4, 3, 2, 2, 4, 4, 1, 0, 3, 0, 2, 4, 3, 0, 0, 4, 0, 3, 3, 3, 0, 0, 1, 3, 1, 1, 4, 3, 3, 0, 3, 3, 1, 3, 2, 2, 1, 2, 0, 2, 1, 3, 0, 2, 0, 1, 0, 4, 0, 0, 3, 3, 0, 2, 0, 3, 3, 4, 3, 4, 4, 1, 4, 2, 2, 0, 4, 0, 3, 1, 2, 3, 3, 1, 3, 4, 0, 2, 3, 0, 0, 3, 2, 4, 3, 3, 1, 0, 1, 0, 3, 2, 1, 2, 1, 3, 0, 2, 1, 0, 4, 2, 1, 2, 4, 1, 2, 2, 0, 4, 4, 2, 4, 3, 3, 4, 1, 1, 0, 0, 1, 4, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 4, 4, 3, 0, 0, 1, 2, 1, 1, 2, 0, 4, 4, 4, 4, 3, 0, 3, 3, 3, 0, 2, 4, 1, 3, 4, 3, 1, 3, 3, 1, 3, 1, 2, 3, 4, 2, 4, 1, 4, 1, 3, 2, 4, 1, 3, 4, 4, 4, 0, 2, 2, 4, 1, 0, 3, 3, 3, 2, 0, 2, 1, 1, 1, 3, 0, 3, 1, 0, 0, 2, 0, 3, 3, 3, 1, 0, 3, 1, 1, 3, 0, 3, 1, 3]
pubkeycol875 = [0, 2, 4, 4, 1, 0, 3, 4, 3, 1, 4, 0, 0, 3, 4, 3, 3, 3, 3, 3, 1, 3, 1, 1, 2, 0, 3, 1, 0, 0, 1, 3, 3, 1, 0, 4, 4, 0, 1, 2, 4, 2, 4, 2, 1, 4, 4, 2, 1, 3, 4, 1, 2, 2, 3, 2, 1, 3, 1, 4, 1, 3, 4, 1, 2, 4, 0, 2, 4, 0, 2, 3, 4, 4, 1, 0, 4, 4, 1, 0, 3, 3, 0, 1, 0, 4, 3, 0, 0, 1, 3, 1, 2, 2, 0, 2, 4, 0, 2, 4, 0, 2, 2, 4, 2, 3, 2, 0, 4, 3, 1, 2, 1, 3, 3, 2, 0, 2, 1, 2, 0, 3, 3, 2, 1, 4, 4, 0, 0, 3, 0, 3, 1, 0, 4, 2, 2, 1, 0, 1, 0, 3, 3, 4, 0, 1, 3, 4, 1, 3, 3, 2, 1, 1, 4, 4, 3, 2, 4, 2, 3, 4, 1, 4, 2, 3, 2, 3, 4, 0, 1, 1, 2, 0, 0, 0, 4, 3, 4, 1, 3, 3, 1, 3, 2, 4, 1, 1, 3, 3, 3, 4, 2, 1, 3, 4, 4, 1, 3, 4, 2, 4, 0, 4, 2, 4, 1, 1, 1, 2, 4, 1, 0, 0, 2, 4, 3, 4, 3, 4, 0, 0, 3, 3, 1, 2, 3, 1, 1, 4, 1, 2, 0, 0, 0, 1, 2, 0, 4, 0, 4, 4, 4, 2, 4, 1, 2, 2, 0, 3, 2, 4, 3, 0, 3, 1, 1, 1, 2, 2, 4, 1, 2, 0, 2, 3, 2, 3, 4, 1, 2, 2, 3, 2, 3, 2, 2, 0, 1, 3, 1, 0, 2, 2, 1, 0, 3, 1, 4, 3, 1, 3, 3, 0, 4, 2, 1, 1, 1, 3, 1, 1, 0, 1, 1, 3, 0, 4, 0, 1, 3, 3, 0, 1, 1, 3, 3, 3, 0, 2, 4, 0, 4, 1, 1, 1, 3, 0, 4, 4, 1, 3, 4, 1, 0, 0, 3, 1, 2, 2, 2, 0, 4, 0, 0, 4, 1, 3, 1, 3, 1, 3, 1, 0, 4, 0, 0, 1, 2, 2, 3, 2, 1, 2, 4, 2, 1, 4, 0, 0, 0, 3, 1, 2, 4, 0, 1, 4, 1, 3, 0, 3, 0, 2, 0, 4, 0, 3, 0, 2, 3, 2, 0, 2, 4, 4, 3, 3, 4, 1]
pubkeycol876 = [4, 0, 4, 2, 4, 2, 1, 0, 0, 2, 2, 4, 4, 3, 2, 3, 2, 2, 0, 3, 2, 0, 4, 4, 2, 3, 3, 4, 1, 0, 4, 3, 1, 2, 1, 0, 4, 3, 2, 2, 1, 4, 0, 4, 2, 1, 3, 3, 1, 0, 3, 3, 4, 4, 4, 2, 4, 3, 0, 4, 3, 2, 3, 0, 4, 3, 3, 2, 4, 4, 2, 3, 3, 2, 3, 2, 2, 2, 2, 4, 2, 4, 3, 3, 1, 3, 1, 3, 2, 1, 2, 0, 3, 0, 2, 1, 0, 4, 2, 3, 1, 3, 0, 1, 4, 4, 4, 1, 4, 1, 4, 4, 0, 2, 1, 3, 3, 1, 1, 1, 3, 4, 2, 4, 3, 2, 4, 4, 1, 4, 4, 3, 2, 1, 0, 4, 0, 1, 4, 3, 0, 1, 0, 0, 0, 2, 0, 1, 2, 4, 1, 4, 3, 1, 4, 3, 4, 4, 0, 1, 0, 0, 4, 1, 2, 1, 1, 2, 3, 3, 4, 1, 3, 4, 0, 0, 1, 4, 4, 3, 0, 1, 0, 1, 4, 2, 2, 1, 3, 3, 1, 3, 3, 4, 4, 0, 2, 1, 2, 1, 2, 1, 0, 2, 3, 4, 3, 2, 1, 4, 4, 0, 4, 3, 4, 3, 1, 2, 0, 1, 4, 4, 1, 4, 1, 0, 2, 2, 0, 1, 1, 3, 2, 0, 3, 3, 0, 0, 4, 3, 0, 2, 2, 2, 4, 1, 0, 3, 2, 1, 0, 4, 2, 0, 3, 1, 3, 4, 1, 3, 0, 3, 0, 2, 1, 3, 4, 4, 2, 4, 0, 1, 0, 2, 4, 2, 4, 1, 4, 3, 0, 1, 0, 2, 1, 0, 0, 4, 4, 0, 1, 3, 3, 2, 4, 4, 0, 1, 2, 1, 0, 0, 2, 4, 4, 1, 3, 3, 1, 2, 0, 3, 3, 3, 3, 4, 2, 0, 1, 1, 0, 4, 4, 1, 3, 2, 4, 1, 2, 3, 2, 3, 4, 3, 2, 1, 2, 1, 3, 1, 2, 3, 1, 2, 4, 4, 4, 1, 2, 3, 2, 0, 0, 1, 1, 0, 0, 3, 0, 0, 1, 1, 4, 2, 2, 0, 4, 0, 2, 4, 2, 3, 3, 3, 4, 4, 2, 3, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 3, 0, 4, 2, 1, 1, 0, 0, 0, 4, 0, 2]
pubkeycol877 = [4, 0, 3, 3, 4, 1, 3, 3, 2, 3, 2, 1, 4, 0, 4, 3, 4, 2, 2, 2, 2, 0, 4, 2, 2, 2, 4, 0, 2, 4, 3, 4, 3, 4, 3, 0, 3, 4, 4, 4, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 4, 2, 4, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 4, 4, 0, 4, 4, 1, 2, 4, 1, 2, 4, 1, 2, 4, 2, 3, 3, 0, 3, 1, 3, 4, 1, 3, 4, 2, 3, 2, 3, 3, 3, 1, 1, 3, 4, 3, 1, 2, 2, 0, 2, 1, 0, 3, 2, 4, 1, 0, 1, 3, 1, 2, 0, 1, 4, 1, 3, 0, 2, 3, 0, 0, 2, 4, 1, 1, 4, 3, 3, 0, 4, 0, 4, 3, 1, 0, 3, 2, 4, 3, 2, 3, 2, 1, 4, 0, 3, 0, 4, 0, 1, 1, 4, 2, 2, 3, 4, 0, 1, 1, 4, 4, 2, 4, 0, 4, 3, 1, 2, 2, 3, 0, 1, 3, 4, 2, 0, 3, 1, 3, 2, 3, 2, 3, 3, 2, 4, 4, 3, 2, 3, 2, 1, 1, 3, 0, 0, 2, 3, 2, 2, 2, 0, 2, 2, 2, 2, 2, 4, 3, 0, 1, 4, 1, 2, 3, 2, 4, 2, 0, 2, 1, 1, 0, 4, 0, 4, 4, 4, 4, 3, 0, 2, 3, 4, 3, 2, 2, 1, 3, 4, 2, 1, 1, 4, 0, 3, 4, 3, 2, 1, 1, 2, 2, 3, 3, 2, 0, 4, 2, 0, 3, 2, 1, 4, 4, 4, 0, 3, 0, 1, 0, 2, 1, 1, 0, 0, 3, 2, 1, 0, 4, 2, 3, 1, 4, 1, 3, 3, 1, 3, 2, 3, 0, 0, 4, 4, 1, 1, 3, 2, 2, 3, 3, 1, 2, 0, 4, 0, 0, 0, 1, 3, 1, 1, 4, 0, 0, 0, 3, 2, 3, 4, 2, 1, 0, 1, 3, 1, 3, 0, 1, 3, 3, 0, 3, 1, 3, 4, 4, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 4, 1, 0, 4, 4, 4, 1, 3, 0, 4, 0, 1, 0, 4, 1, 4, 4, 0, 0, 1, 3, 1, 0, 3, 2, 1, 3, 2, 4, 4, 1, 0, 2, 1, 4, 2, 2, 1, 4, 1, 3, 1]
pubkeycol878 = [1, 2, 4, 3, 0, 3, 3, 1, 3, 0, 2, 1, 1, 3, 1, 2, 0, 2, 4, 3, 0, 4, 4, 4, 4, 1, 3, 0, 3, 1, 1, 1, 4, 0, 0, 3, 2, 2, 0, 4, 1, 3, 0, 2, 0, 4, 0, 1, 4, 1, 3, 0, 0, 3, 4, 3, 0, 3, 3, 4, 4, 1, 2, 0, 0, 1, 4, 0, 3, 1, 4, 2, 4, 3, 2, 0, 4, 4, 4, 3, 3, 4, 0, 0, 3, 2, 1, 3, 4, 0, 3, 0, 2, 4, 4, 4, 1, 1, 2, 0, 4, 0, 3, 4, 1, 2, 4, 4, 1, 4, 1, 0, 1, 2, 4, 3, 3, 1, 3, 1, 1, 0, 0, 1, 4, 4, 0, 2, 3, 3, 1, 3, 0, 0, 3, 0, 1, 4, 2, 2, 0, 3, 2, 1, 0, 2, 2, 3, 2, 3, 3, 4, 0, 2, 0, 4, 3, 3, 0, 4, 3, 2, 0, 0, 1, 1, 3, 3, 2, 3, 1, 3, 2, 1, 1, 1, 1, 4, 2, 3, 4, 2, 3, 2, 4, 3, 4, 4, 3, 1, 0, 2, 4, 3, 0, 2, 3, 0, 3, 4, 2, 0, 4, 4, 3, 3, 0, 2, 4, 3, 3, 2, 4, 1, 3, 0, 4, 3, 3, 0, 1, 3, 0, 2, 0, 1, 4, 4, 1, 2, 0, 3, 0, 0, 3, 3, 1, 3, 4, 1, 2, 2, 4, 1, 2, 3, 1, 0, 3, 4, 1, 3, 1, 0, 2, 4, 3, 3, 0, 4, 2, 2, 1, 0, 2, 4, 0, 3, 1, 3, 1, 4, 1, 3, 0, 2, 4, 0, 3, 3, 2, 0, 3, 4, 0, 1, 4, 3, 2, 0, 2, 4, 0, 0, 4, 0, 4, 2, 2, 3, 3, 3, 0, 0, 1, 3, 1, 4, 1, 1, 4, 2, 0, 0, 4, 3, 2, 1, 3, 4, 4, 1, 0, 3, 2, 2, 1, 0, 3, 4, 3, 2, 0, 1, 0, 2, 1, 0, 3, 3, 1, 1, 4, 1, 0, 1, 1, 0, 4, 1, 0, 3, 2, 2, 4, 4, 0, 0, 3, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 4, 4, 4, 2, 2, 4, 2, 4, 1, 2, 4, 3, 0, 3, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 4, 2, 1, 1, 2]
pubkeycol879 = [1, 1, 4, 4, 4, 0, 4, 3, 3, 0, 2, 1, 3, 1, 4, 0, 4, 1, 0, 1, 4, 2, 2, 2, 1, 2, 1, 4, 3, 2, 2, 2, 0, 3, 4, 3, 3, 2, 1, 4, 3, 1, 1, 1, 1, 2, 2, 4, 2, 0, 3, 1, 2, 4, 4, 4, 1, 0, 2, 2, 1, 2, 0, 2, 1, 3, 1, 0, 0, 1, 4, 0, 4, 0, 1, 4, 2, 1, 1, 4, 4, 4, 4, 3, 4, 4, 3, 1, 4, 1, 2, 2, 0, 2, 0, 1, 4, 1, 1, 3, 4, 1, 4, 0, 0, 1, 1, 2, 1, 0, 4, 4, 0, 4, 3, 0, 3, 4, 1, 2, 0, 1, 3, 1, 2, 3, 2, 2, 3, 0, 2, 3, 4, 1, 0, 0, 4, 4, 3, 3, 2, 3, 4, 1, 0, 0, 0, 3, 1, 2, 3, 2, 4, 4, 1, 4, 1, 4, 2, 1, 0, 3, 0, 3, 1, 3, 3, 3, 3, 1, 0, 4, 1, 4, 0, 3, 0, 0, 0, 4, 0, 4, 4, 0, 4, 1, 1, 3, 2, 3, 2, 2, 4, 4, 3, 1, 3, 2, 2, 0, 3, 2, 0, 3, 1, 0, 3, 1, 3, 0, 0, 3, 4, 3, 1, 1, 3, 1, 4, 3, 0, 1, 2, 1, 4, 4, 0, 4, 3, 2, 1, 2, 4, 2, 4, 2, 2, 0, 2, 0, 0, 2, 3, 0, 0, 2, 4, 0, 2, 4, 0, 0, 0, 0, 2, 4, 0, 3, 1, 1, 4, 1, 2, 4, 1, 2, 4, 0, 3, 4, 1, 1, 3, 3, 2, 0, 2, 3, 0, 2, 2, 0, 0, 4, 3, 1, 4, 2, 1, 3, 0, 0, 0, 3, 3, 0, 2, 4, 2, 1, 4, 0, 2, 0, 1, 4, 0, 3, 0, 0, 1, 4, 1, 0, 1, 3, 0, 3, 1, 3, 0, 0, 3, 3, 3, 1, 4, 3, 0, 2, 4, 4, 3, 2, 1, 2, 0, 2, 0, 2, 4, 3, 2, 4, 3, 0, 4, 3, 3, 4, 1, 2, 2, 4, 3, 2, 3, 3, 3, 3, 1, 3, 4, 4, 4, 2, 3, 1, 1, 4, 1, 1, 4, 3, 3, 4, 4, 4, 0, 4, 3, 0, 2, 4, 4, 3, 4, 3, 1, 0, 4, 4, 0, 3, 2, 2, 4, 4, 1, 3]
pubkeycol880 = [1, 1, 0, 2, 1, 4, 4, 1, 3, 2, 1, 3, 1, 4, 2, 0, 2, 0, 4, 3, 2, 0, 0, 1, 4, 1, 2, 2, 4, 4, 4, 3, 4, 1, 3, 1, 1, 3, 3, 3, 3, 1, 3, 3, 4, 3, 1, 1, 1, 2, 1, 0, 2, 2, 3, 4, 3, 4, 3, 2, 2, 3, 1, 3, 3, 2, 1, 4, 1, 1, 3, 0, 3, 2, 0, 0, 4, 1, 1, 3, 3, 1, 3, 1, 2, 1, 2, 0, 3, 1, 4, 1, 1, 1, 0, 2, 0, 1, 1, 4, 2, 1, 4, 3, 3, 0, 3, 1, 1, 1, 1, 3, 3, 3, 4, 1, 3, 1, 0, 4, 3, 3, 4, 4, 2, 3, 4, 2, 4, 0, 0, 2, 0, 1, 4, 0, 1, 3, 4, 2, 0, 1, 3, 2, 4, 0, 0, 1, 4, 0, 3, 2, 1, 4, 4, 3, 2, 4, 4, 0, 4, 3, 2, 2, 0, 4, 3, 0, 2, 2, 1, 3, 3, 3, 3, 3, 2, 0, 1, 3, 1, 4, 3, 2, 0, 3, 4, 2, 2, 2, 0, 2, 1, 4, 2, 1, 2, 2, 0, 3, 0, 0, 2, 3, 4, 1, 1, 0, 2, 1, 0, 2, 1, 0, 4, 1, 2, 3, 2, 0, 1, 0, 2, 2, 3, 2, 4, 3, 4, 4, 0, 2, 0, 4, 3, 2, 2, 2, 4, 0, 0, 0, 0, 0, 2, 3, 1, 0, 1, 0, 2, 3, 0, 1, 2, 4, 1, 2, 1, 2, 2, 1, 1, 4, 3, 1, 3, 4, 0, 0, 3, 4, 2, 4, 3, 3, 0, 2, 4, 2, 0, 3, 3, 3, 0, 2, 1, 3, 4, 1, 3, 0, 2, 0, 4, 1, 4, 3, 4, 0, 1, 2, 0, 1, 4, 2, 3, 2, 1, 0, 1, 4, 0, 3, 0, 1, 4, 1, 4, 4, 2, 3, 3, 0, 1, 1, 3, 2, 2, 1, 2, 4, 3, 4, 2, 3, 3, 0, 0, 1, 4, 3, 1, 3, 4, 2, 4, 3, 0, 3, 2, 4, 4, 0, 1, 1, 0, 2, 4, 0, 2, 3, 2, 4, 2, 3, 3, 1, 0, 3, 1, 0, 4, 4, 1, 2, 0, 2, 3, 1, 4, 1, 2, 2, 1, 4, 0, 0, 0, 3, 1, 3, 4, 1, 3, 3, 1, 2, 4, 1]
pubkeycol881 = [4, 1, 4, 3, 1, 0, 1, 3, 4, 2, 1, 0, 2, 3, 2, 0, 3, 2, 0, 3, 2, 3, 2, 1, 2, 2, 1, 1, 1, 4, 0, 3, 0, 0, 1, 3, 3, 1, 2, 3, 2, 3, 2, 0, 3, 3, 3, 0, 4, 2, 3, 0, 1, 1, 3, 0, 3, 1, 1, 3, 4, 1, 4, 4, 3, 4, 0, 1, 1, 0, 1, 1, 4, 2, 1, 1, 4, 0, 3, 2, 1, 4, 1, 0, 3, 3, 0, 2, 2, 0, 0, 3, 2, 0, 0, 2, 0, 4, 3, 1, 0, 0, 0, 0, 0, 2, 3, 0, 0, 1, 3, 4, 4, 1, 1, 0, 0, 3, 3, 3, 2, 3, 3, 0, 3, 2, 4, 3, 3, 4, 4, 0, 1, 1, 4, 3, 2, 3, 0, 2, 2, 2, 3, 3, 2, 4, 3, 3, 0, 4, 1, 2, 4, 0, 2, 3, 3, 0, 3, 4, 0, 1, 1, 2, 4, 3, 2, 1, 1, 1, 4, 1, 4, 0, 4, 0, 2, 1, 3, 2, 2, 0, 4, 0, 0, 2, 3, 0, 0, 2, 4, 0, 1, 3, 3, 1, 2, 4, 0, 1, 3, 3, 0, 3, 4, 0, 1, 0, 4, 4, 1, 1, 4, 0, 3, 3, 4, 0, 2, 1, 1, 3, 4, 3, 1, 3, 0, 0, 3, 1, 3, 0, 1, 3, 2, 2, 0, 1, 3, 1, 4, 2, 1, 2, 3, 0, 0, 0, 2, 1, 3, 3, 1, 0, 4, 4, 4, 1, 0, 3, 2, 4, 1, 1, 2, 4, 1, 4, 0, 3, 2, 2, 1, 4, 4, 1, 4, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 3, 3, 2, 4, 3, 1, 3, 3, 1, 3, 4, 1, 0, 1, 4, 0, 2, 1, 3, 0, 2, 2, 1, 2, 2, 0, 4, 2, 3, 0, 4, 1, 3, 2, 3, 1, 1, 2, 3, 0, 3, 3, 2, 4, 3, 4, 3, 2, 1, 2, 4, 2, 3, 4, 0, 3, 2, 2, 1, 4, 2, 4, 3, 2, 3, 2, 4, 3, 3, 4, 0, 3, 0, 1, 3, 1, 2, 2, 3, 2, 1, 3, 0, 3, 3, 3, 2, 3, 0, 0, 3, 4, 4, 4, 1, 2, 4, 3, 2, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0]
pubkeycol882 = [1, 4, 2, 0, 1, 1, 2, 2, 1, 3, 2, 0, 1, 2, 2, 4, 2, 1, 2, 4, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 3, 2, 1, 0, 3, 2, 0, 4, 2, 1, 2, 4, 3, 0, 3, 2, 1, 4, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 3, 0, 3, 2, 4, 1, 3, 0, 2, 0, 2, 1, 1, 1, 1, 4, 1, 0, 4, 4, 3, 4, 0, 3, 4, 2, 4, 4, 4, 0, 1, 3, 4, 1, 2, 2, 2, 3, 4, 4, 2, 4, 4, 0, 0, 4, 4, 2, 0, 4, 1, 3, 4, 1, 3, 0, 0, 1, 3, 0, 2, 0, 0, 0, 1, 3, 0, 1, 1, 0, 0, 1, 0, 4, 4, 0, 2, 1, 0, 4, 0, 0, 0, 4, 1, 4, 0, 4, 1, 3, 2, 2, 3, 1, 0, 1, 0, 2, 3, 4, 1, 2, 0, 2, 1, 3, 2, 2, 4, 3, 1, 3, 1, 4, 2, 4, 0, 0, 4, 3, 1, 0, 1, 0, 4, 1, 0, 2, 2, 1, 2, 1, 3, 1, 3, 1, 4, 3, 0, 4, 0, 4, 1, 2, 4, 3, 3, 2, 3, 3, 4, 0, 3, 0, 1, 4, 1, 2, 0, 1, 1, 3, 0, 4, 4, 2, 2, 2, 0, 1, 0, 4, 1, 4, 2, 3, 3, 0, 1, 1, 4, 4, 3, 0, 4, 3, 3, 3, 0, 0, 2, 0, 3, 1, 2, 4, 2, 2, 4, 0, 1, 2, 3, 2, 1, 0, 3, 1, 1, 0, 4, 4, 1, 0, 1, 4, 4, 0, 2, 2, 1, 2, 4, 2, 3, 4, 0, 3, 4, 4, 2, 2, 0, 3, 4, 2, 1, 2, 3, 2, 0, 2, 4, 3, 1, 2, 4, 0, 3, 1, 1, 4, 3, 2, 0, 4, 3, 4, 2, 4, 0, 2, 4, 0, 0, 3, 2, 2, 0, 0, 0, 0, 4, 0, 0, 3, 1, 3, 0, 0, 4, 0, 4, 0, 3, 3, 0, 2, 0, 2, 0, 0, 0, 3, 0, 0, 0, 4, 0, 1, 1, 0, 0, 3, 3, 3, 1, 3, 0, 3, 4, 3, 0, 2, 2, 0, 4, 4, 3, 0, 1, 0, 1, 3, 3, 0, 4, 1, 4, 3, 3, 0, 3, 2, 1, 4, 3]
pubkeycol883 = [1, 0, 4, 4, 2, 2, 4, 2, 3, 2, 4, 3, 0, 4, 3, 1, 4, 3, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 4, 3, 1, 1, 3, 4, 1, 0, 2, 4, 1, 2, 3, 4, 3, 1, 3, 3, 2, 3, 3, 2, 2, 2, 3, 0, 0, 1, 2, 1, 4, 1, 2, 3, 4, 4, 1, 2, 0, 2, 1, 1, 2, 0, 2, 4, 0, 3, 1, 0, 0, 4, 4, 3, 4, 4, 0, 2, 0, 2, 2, 3, 3, 0, 3, 1, 2, 4, 1, 1, 0, 4, 1, 4, 0, 0, 3, 2, 3, 2, 2, 4, 3, 3, 3, 1, 0, 2, 0, 4, 2, 3, 2, 3, 4, 4, 3, 1, 0, 4, 0, 0, 3, 4, 3, 3, 2, 0, 3, 1, 2, 0, 1, 1, 0, 2, 3, 0, 1, 2, 4, 1, 4, 4, 1, 0, 2, 4, 4, 3, 3, 2, 1, 2, 0, 2, 2, 2, 4, 0, 1, 0, 0, 4, 3, 1, 1, 3, 0, 4, 1, 3, 3, 2, 3, 1, 2, 2, 0, 4, 4, 4, 1, 4, 1, 0, 1, 3, 2, 2, 3, 1, 2, 2, 4, 1, 1, 0, 4, 1, 0, 1, 3, 0, 0, 1, 4, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 4, 4, 3, 2, 4, 4, 4, 0, 0, 3, 0, 2, 1, 3, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 4, 1, 2, 0, 0, 3, 0, 4, 1, 2, 3, 1, 4, 2, 2, 2, 0, 3, 1, 3, 4, 0, 0, 4, 2, 1, 0, 2, 1, 3, 1, 0, 4, 2, 1, 1, 4, 1, 1, 4, 4, 4, 3, 0, 2, 1, 4, 0, 1, 1, 3, 3, 4, 2, 1, 0, 3, 4, 1, 0, 0, 0, 2, 4, 3, 1, 4, 0, 0, 3, 2, 4, 0, 1, 4, 3, 3, 0, 4, 3, 3, 2, 0, 3, 0, 0, 0, 2, 0, 2, 1, 1, 0, 3, 0, 2, 0, 3, 0, 2, 1, 4, 1, 3, 2, 1, 0, 0, 2, 4, 0, 4, 2, 1, 2, 2, 4, 1, 4, 0, 2, 3, 4, 1, 0, 1, 3, 2, 2, 4, 3, 2, 3, 1, 1, 0, 0, 3, 3, 3, 1, 1, 4, 1, 2, 0, 3, 0, 3]
pubkeycol884 = [2, 4, 0, 0, 1, 3, 2, 0, 1, 0, 0, 0, 0, 4, 1, 1, 1, 2, 1, 4, 0, 1, 3, 4, 1, 1, 2, 2, 4, 0, 1, 1, 1, 1, 4, 1, 0, 0, 2, 2, 0, 3, 2, 2, 4, 0, 3, 4, 4, 4, 0, 3, 0, 0, 2, 0, 2, 4, 4, 3, 1, 4, 3, 4, 3, 1, 3, 2, 0, 4, 1, 2, 1, 3, 0, 1, 2, 0, 0, 2, 2, 3, 3, 4, 3, 1, 0, 0, 0, 3, 3, 0, 2, 1, 0, 0, 3, 4, 3, 1, 1, 0, 2, 3, 0, 2, 1, 0, 1, 3, 0, 0, 0, 2, 1, 4, 1, 1, 2, 2, 0, 0, 0, 2, 3, 3, 4, 4, 3, 4, 4, 4, 4, 4, 3, 2, 1, 0, 3, 2, 3, 4, 3, 1, 0, 4, 4, 0, 1, 3, 4, 3, 4, 3, 1, 3, 0, 4, 3, 4, 1, 4, 2, 1, 3, 1, 1, 4, 4, 1, 3, 4, 1, 3, 0, 4, 0, 4, 4, 2, 0, 2, 0, 1, 0, 1, 4, 4, 4, 1, 1, 1, 2, 0, 3, 2, 3, 4, 2, 1, 2, 0, 1, 2, 1, 2, 2, 3, 3, 0, 2, 1, 2, 0, 2, 3, 0, 1, 1, 1, 3, 4, 4, 1, 2, 2, 1, 0, 4, 2, 2, 3, 3, 2, 0, 0, 0, 0, 3, 4, 4, 2, 2, 2, 0, 4, 2, 1, 2, 3, 2, 4, 1, 4, 3, 2, 0, 1, 0, 1, 2, 1, 3, 1, 1, 1, 0, 3, 2, 3, 1, 4, 4, 4, 0, 1, 1, 2, 2, 4, 4, 3, 4, 3, 4, 1, 4, 1, 0, 0, 2, 4, 3, 4, 2, 3, 4, 3, 1, 0, 2, 2, 3, 3, 3, 1, 4, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 4, 3, 2, 3, 4, 3, 0, 2, 1, 1, 3, 1, 1, 3, 3, 4, 1, 1, 1, 3, 0, 4, 3, 4, 0, 3, 4, 1, 4, 3, 4, 1, 3, 1, 4, 2, 0, 1, 0, 4, 0, 4, 3, 4, 1, 2, 1, 3, 4, 4, 1, 3, 2, 3, 0, 1, 1, 1, 4, 4, 0, 2, 3, 2, 4, 0, 1, 4, 2, 0, 0, 1, 4, 2, 0, 1, 4, 4, 1, 4, 0, 4]
pubkeycol885 = [3, 1, 4, 3, 2, 0, 4, 2, 2, 0, 3, 1, 2, 2, 4, 3, 2, 4, 4, 0, 1, 4, 4, 4, 0, 3, 1, 2, 3, 2, 4, 2, 3, 3, 0, 0, 3, 1, 1, 2, 3, 1, 0, 0, 1, 3, 3, 3, 4, 3, 4, 3, 0, 3, 0, 3, 0, 1, 1, 3, 0, 3, 1, 2, 2, 1, 1, 2, 1, 0, 4, 3, 1, 4, 2, 2, 4, 2, 4, 2, 0, 0, 3, 1, 0, 4, 3, 0, 0, 0, 3, 0, 3, 3, 1, 2, 1, 3, 1, 2, 3, 0, 0, 4, 2, 4, 2, 0, 0, 1, 1, 3, 2, 0, 2, 3, 1, 0, 1, 2, 1, 3, 2, 4, 3, 2, 4, 1, 1, 0, 3, 4, 1, 1, 1, 3, 3, 1, 0, 4, 3, 2, 1, 0, 2, 0, 1, 3, 1, 4, 2, 0, 4, 3, 0, 2, 0, 1, 4, 4, 4, 1, 4, 4, 2, 0, 2, 3, 0, 1, 0, 1, 0, 1, 3, 0, 3, 0, 1, 3, 4, 4, 1, 2, 3, 0, 1, 3, 4, 1, 3, 3, 4, 1, 3, 1, 0, 4, 2, 3, 4, 2, 1, 3, 0, 3, 2, 3, 4, 0, 3, 3, 3, 2, 3, 4, 0, 4, 4, 0, 3, 3, 2, 1, 4, 3, 0, 2, 1, 0, 4, 3, 4, 4, 1, 4, 2, 2, 3, 3, 3, 2, 0, 1, 0, 0, 0, 2, 3, 2, 0, 4, 0, 0, 0, 4, 1, 2, 1, 4, 4, 3, 3, 4, 1, 2, 0, 3, 4, 2, 3, 3, 3, 4, 2, 2, 4, 1, 3, 2, 4, 2, 0, 1, 2, 3, 1, 1, 2, 0, 3, 3, 1, 3, 2, 0, 0, 0, 0, 3, 0, 1, 1, 1, 3, 1, 2, 1, 3, 4, 3, 4, 0, 3, 2, 0, 1, 1, 2, 4, 0, 3, 4, 2, 0, 0, 3, 4, 2, 3, 2, 0, 0, 3, 4, 2, 4, 4, 2, 1, 4, 3, 4, 1, 3, 2, 1, 1, 1, 4, 2, 4, 4, 4, 0, 4, 3, 0, 4, 2, 0, 3, 0, 4, 2, 4, 4, 0, 0, 4, 0, 4, 1, 2, 0, 4, 2, 4, 1, 2, 0, 1, 1, 0, 1, 4, 0, 2, 1, 4, 1, 1, 0, 1, 4, 4, 4, 2, 3, 1]
pubkeycol886 = [2, 2, 1, 0, 3, 4, 1, 3, 2, 0, 3, 0, 4, 4, 1, 3, 0, 3, 2, 1, 2, 3, 3, 4, 4, 2, 1, 4, 3, 0, 2, 0, 0, 0, 4, 2, 4, 3, 0, 1, 0, 1, 0, 1, 2, 3, 1, 0, 2, 4, 4, 0, 3, 4, 4, 2, 2, 2, 1, 4, 3, 1, 2, 0, 2, 0, 2, 1, 3, 2, 4, 4, 2, 3, 1, 2, 4, 1, 1, 0, 2, 2, 0, 1, 1, 4, 0, 0, 2, 2, 0, 1, 2, 4, 2, 2, 2, 3, 2, 1, 1, 3, 0, 4, 1, 1, 0, 0, 0, 0, 0, 1, 3, 2, 4, 4, 3, 3, 1, 0, 0, 3, 4, 3, 1, 1, 1, 2, 3, 4, 0, 3, 0, 1, 4, 1, 0, 3, 2, 1, 2, 1, 4, 2, 4, 2, 0, 4, 4, 0, 0, 3, 3, 0, 1, 4, 1, 2, 2, 0, 0, 1, 3, 1, 3, 0, 0, 1, 2, 0, 3, 3, 4, 1, 1, 4, 2, 4, 3, 0, 1, 4, 4, 4, 2, 4, 4, 1, 3, 3, 2, 3, 0, 1, 1, 1, 1, 0, 0, 4, 2, 2, 2, 3, 1, 0, 1, 2, 1, 0, 0, 1, 2, 4, 2, 2, 3, 3, 1, 0, 1, 2, 2, 0, 4, 4, 1, 2, 0, 1, 0, 1, 1, 4, 4, 0, 3, 3, 0, 3, 2, 1, 2, 4, 1, 0, 1, 3, 4, 1, 4, 3, 0, 4, 0, 2, 3, 3, 3, 1, 2, 1, 0, 4, 4, 0, 4, 4, 2, 1, 0, 2, 4, 2, 3, 2, 2, 1, 1, 1, 2, 3, 2, 2, 0, 3, 3, 4, 0, 0, 0, 4, 4, 3, 2, 2, 3, 3, 3, 2, 4, 0, 4, 4, 4, 3, 0, 0, 3, 2, 3, 3, 0, 0, 1, 4, 0, 0, 4, 1, 2, 3, 2, 2, 4, 2, 2, 3, 3, 3, 4, 4, 0, 2, 3, 4, 0, 0, 2, 0, 2, 2, 2, 3, 1, 2, 0, 3, 0, 4, 3, 1, 0, 3, 1, 1, 1, 1, 0, 1, 4, 0, 2, 2, 4, 4, 1, 0, 0, 3, 3, 4, 2, 4, 2, 2, 1, 1, 3, 0, 4, 3, 1, 2, 2, 1, 4, 1, 1, 0, 0, 3, 0, 0, 1, 2, 4, 1, 0, 2]
pubkeycol887 = [4, 2, 0, 4, 4, 2, 4, 3, 3, 4, 0, 0, 0, 4, 3, 1, 0, 1, 4, 0, 3, 2, 0, 3, 0, 2, 1, 0, 3, 2, 4, 4, 0, 1, 1, 3, 1, 2, 1, 3, 0, 4, 4, 0, 3, 1, 4, 0, 0, 0, 3, 0, 1, 1, 3, 0, 2, 4, 1, 2, 0, 1, 0, 1, 1, 3, 0, 2, 3, 2, 1, 4, 2, 0, 3, 3, 3, 2, 3, 0, 3, 1, 1, 0, 0, 3, 3, 1, 0, 4, 1, 0, 1, 1, 2, 0, 4, 4, 3, 3, 3, 2, 1, 3, 4, 0, 3, 4, 0, 4, 1, 4, 4, 4, 0, 1, 0, 3, 2, 4, 2, 2, 4, 0, 4, 4, 2, 4, 3, 1, 0, 3, 3, 2, 3, 3, 1, 0, 1, 4, 2, 2, 4, 3, 0, 0, 2, 3, 1, 4, 4, 1, 2, 0, 4, 3, 3, 4, 3, 2, 4, 0, 2, 1, 3, 0, 1, 4, 0, 4, 4, 4, 4, 0, 3, 2, 0, 2, 4, 0, 0, 2, 2, 3, 1, 0, 0, 3, 2, 3, 0, 2, 0, 0, 4, 1, 0, 0, 4, 3, 1, 3, 1, 1, 3, 0, 2, 2, 4, 2, 3, 3, 4, 2, 1, 1, 4, 0, 0, 2, 1, 0, 4, 1, 4, 0, 2, 1, 3, 3, 2, 0, 0, 1, 1, 1, 0, 4, 0, 2, 0, 0, 3, 0, 2, 2, 4, 0, 4, 3, 3, 2, 4, 0, 4, 1, 1, 0, 1, 2, 2, 2, 0, 4, 2, 4, 1, 1, 4, 1, 1, 1, 4, 1, 0, 0, 1, 0, 1, 1, 4, 4, 0, 1, 1, 1, 1, 2, 1, 3, 4, 0, 3, 1, 0, 2, 4, 0, 1, 1, 1, 0, 4, 1, 2, 3, 3, 2, 1, 1, 2, 3, 0, 0, 0, 2, 4, 1, 1, 0, 3, 0, 2, 1, 1, 1, 4, 1, 2, 1, 2, 1, 2, 1, 3, 1, 4, 2, 1, 0, 4, 2, 4, 0, 1, 3, 2, 0, 4, 4, 2, 0, 3, 0, 4, 0, 0, 4, 2, 2, 4, 4, 3, 4, 1, 1, 2, 1, 0, 1, 3, 4, 1, 3, 2, 0, 2, 1, 4, 0, 2, 0, 0, 2, 3, 2, 4, 0, 0, 2, 3, 0, 4, 2, 1, 2, 4, 2, 1, 1]
pubkeycol888 = [3, 3, 1, 4, 1, 3, 4, 2, 0, 1, 0, 4, 3, 3, 3, 2, 4, 0, 3, 1, 3, 4, 0, 2, 4, 3, 1, 0, 0, 2, 3, 4, 1, 2, 4, 1, 0, 4, 4, 2, 4, 4, 1, 3, 3, 4, 3, 2, 3, 3, 4, 0, 2, 3, 4, 1, 4, 3, 4, 2, 4, 2, 3, 2, 2, 1, 3, 3, 1, 3, 3, 3, 4, 3, 4, 4, 0, 3, 2, 1, 0, 1, 1, 1, 4, 0, 4, 3, 2, 0, 0, 3, 0, 4, 1, 3, 1, 2, 3, 0, 3, 0, 0, 1, 0, 2, 1, 4, 4, 4, 0, 2, 3, 2, 2, 3, 1, 1, 3, 2, 4, 2, 2, 1, 1, 0, 3, 4, 2, 2, 1, 4, 3, 0, 2, 3, 4, 3, 1, 1, 1, 3, 1, 0, 4, 1, 4, 2, 2, 2, 2, 2, 4, 1, 1, 2, 0, 2, 3, 0, 3, 1, 1, 1, 3, 0, 1, 1, 2, 0, 3, 1, 3, 1, 2, 3, 3, 4, 3, 4, 0, 2, 1, 2, 0, 4, 2, 0, 4, 0, 0, 0, 2, 2, 0, 1, 4, 2, 1, 0, 1, 2, 3, 2, 1, 4, 4, 2, 1, 2, 0, 2, 1, 4, 2, 2, 1, 1, 2, 1, 3, 0, 0, 2, 4, 3, 4, 0, 1, 3, 3, 0, 1, 3, 2, 0, 3, 3, 0, 0, 4, 3, 3, 1, 4, 3, 1, 0, 2, 4, 0, 4, 3, 3, 1, 3, 2, 2, 4, 1, 4, 2, 1, 1, 3, 0, 0, 1, 4, 4, 2, 4, 3, 0, 2, 3, 0, 2, 1, 1, 2, 1, 2, 4, 4, 0, 1, 2, 4, 3, 3, 3, 0, 0, 4, 2, 2, 2, 3, 0, 4, 4, 0, 2, 2, 1, 3, 3, 0, 2, 0, 1, 3, 2, 4, 2, 3, 2, 0, 2, 2, 4, 2, 4, 2, 3, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 4, 1, 0, 3, 2, 2, 4, 1, 2, 2, 2, 0, 0, 1, 3, 2, 0, 4, 2, 2, 2, 4, 0, 0, 3, 3, 0, 4, 3, 4, 4, 4, 2, 2, 4, 1, 2, 4, 1, 4, 2, 2, 4, 0, 3, 3, 0, 3, 3, 2, 3, 1, 4, 3, 4, 2, 3, 0, 2, 2, 3, 2]
pubkeycol889 = [3, 3, 0, 4, 0, 0, 1, 3, 1, 1, 0, 3, 0, 0, 3, 2, 0, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 4, 1, 4, 1, 4, 0, 0, 4, 4, 0, 1, 4, 3, 3, 0, 0, 0, 3, 2, 2, 1, 4, 4, 4, 0, 3, 4, 3, 2, 4, 1, 2, 4, 3, 1, 2, 3, 2, 1, 2, 1, 2, 3, 4, 0, 4, 1, 3, 3, 1, 3, 2, 3, 4, 3, 2, 3, 0, 4, 3, 3, 0, 3, 0, 4, 3, 3, 1, 3, 4, 4, 3, 2, 2, 1, 3, 0, 3, 2, 3, 3, 0, 3, 4, 0, 1, 1, 3, 4, 1, 3, 1, 3, 1, 1, 1, 2, 3, 1, 3, 1, 3, 0, 0, 2, 4, 0, 3, 3, 4, 2, 4, 2, 3, 2, 3, 2, 3, 1, 1, 1, 3, 0, 2, 3, 3, 0, 4, 2, 3, 4, 4, 0, 4, 4, 3, 3, 1, 4, 0, 4, 2, 3, 2, 3, 0, 0, 4, 1, 4, 1, 3, 4, 3, 1, 0, 3, 3, 4, 0, 1, 2, 1, 1, 0, 0, 3, 1, 1, 0, 3, 3, 2, 2, 2, 4, 4, 2, 2, 1, 0, 1, 4, 0, 3, 1, 4, 0, 4, 0, 2, 1, 3, 0, 4, 4, 3, 3, 3, 1, 1, 0, 2, 1, 0, 2, 2, 0, 4, 4, 3, 2, 0, 3, 0, 4, 1, 3, 4, 3, 1, 1, 2, 1, 3, 4, 4, 3, 2, 3, 0, 3, 1, 1, 0, 0, 4, 0, 0, 2, 1, 2, 1, 4, 0, 0, 2, 1, 2, 0, 3, 3, 1, 3, 3, 0, 3, 2, 3, 4, 4, 0, 1, 2, 0, 0, 0, 0, 4, 3, 1, 2, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 4, 0, 0, 0, 2, 1, 4, 4, 1, 4, 1, 1, 1, 2, 4, 1, 1, 4, 4, 0, 3, 3, 4, 3, 2, 0, 2, 3, 3, 2, 3, 0, 2, 3, 4, 1, 4, 3, 3, 3, 4, 4, 2, 1, 3, 1, 4, 1, 1, 2, 1, 2, 0, 4, 3, 0, 0, 3, 1, 4, 4, 1, 1, 1, 0, 4, 2, 3, 0, 1, 1, 3, 2, 2, 2, 0, 0, 1, 0, 2, 1, 3, 4, 1, 2, 2, 3]
pubkeycol890 = [0, 0, 3, 4, 4, 3, 4, 1, 3, 3, 3, 3, 4, 1, 3, 1, 1, 0, 3, 1, 4, 4, 0, 4, 2, 2, 1, 4, 0, 2, 4, 0, 3, 4, 3, 2, 0, 2, 3, 0, 4, 0, 3, 0, 4, 3, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 4, 0, 3, 2, 2, 3, 2, 4, 0, 4, 2, 0, 2, 4, 2, 0, 4, 3, 2, 0, 2, 0, 2, 4, 0, 1, 4, 3, 2, 1, 4, 2, 2, 2, 1, 0, 1, 2, 0, 2, 4, 4, 0, 3, 3, 0, 0, 1, 4, 4, 2, 1, 3, 2, 3, 0, 3, 1, 1, 4, 1, 4, 2, 3, 4, 0, 2, 2, 3, 2, 2, 3, 4, 2, 3, 2, 4, 1, 3, 3, 2, 1, 4, 0, 0, 4, 2, 3, 3, 4, 4, 0, 3, 3, 0, 4, 1, 1, 1, 0, 0, 2, 1, 0, 4, 4, 4, 4, 3, 0, 3, 1, 2, 3, 3, 4, 4, 1, 2, 0, 1, 3, 0, 4, 3, 2, 3, 0, 2, 0, 0, 2, 1, 4, 2, 3, 0, 4, 0, 3, 1, 0, 1, 4, 1, 2, 4, 1, 4, 2, 4, 4, 1, 0, 3, 1, 0, 0, 0, 4, 3, 0, 3, 2, 1, 1, 4, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 1, 0, 1, 3, 3, 2, 0, 2, 3, 4, 3, 2, 0, 0, 4, 4, 0, 1, 2, 4, 4, 0, 3, 2, 2, 0, 3, 2, 2, 0, 4, 3, 0, 4, 4, 4, 3, 2, 3, 4, 2, 3, 2, 0, 2, 1, 2, 3, 0, 4, 1, 3, 1, 0, 3, 3, 0, 4, 4, 4, 1, 2, 2, 1, 0, 2, 1, 4, 2, 3, 4, 2, 2, 1, 2, 3, 4, 0, 0, 2, 0, 4, 4, 2, 1, 2, 0, 0, 1, 0, 2, 1, 4, 2, 1, 1, 2, 2, 0, 0, 0, 2, 3, 1, 4, 4, 4, 3, 0, 4, 1, 3, 0, 2, 3, 3, 4, 2, 2, 2, 4, 0, 2, 3, 3, 2, 4, 2, 3, 2, 1, 2, 1, 1, 1, 0, 1, 1, 3, 3, 3, 1, 4, 2, 0, 4, 4, 1, 4, 1, 4, 0, 2, 2, 1, 2, 3, 4, 3, 4, 4, 3, 2]
pubkeycol891 = [4, 3, 2, 1, 1, 1, 4, 0, 2, 4, 4, 4, 4, 2, 1, 4, 4, 3, 3, 0, 2, 0, 4, 4, 1, 2, 2, 4, 1, 1, 1, 3, 2, 1, 3, 1, 0, 0, 1, 4, 1, 0, 1, 2, 2, 0, 2, 4, 1, 3, 2, 4, 2, 2, 0, 2, 0, 0, 0, 4, 0, 2, 0, 0, 0, 4, 1, 1, 4, 1, 4, 3, 3, 3, 1, 0, 0, 2, 0, 4, 2, 3, 1, 0, 0, 1, 3, 0, 0, 0, 1, 2, 4, 0, 4, 2, 4, 1, 1, 0, 1, 4, 2, 4, 0, 4, 3, 4, 2, 2, 1, 2, 3, 1, 1, 4, 4, 3, 2, 2, 4, 0, 4, 1, 2, 1, 3, 3, 4, 3, 0, 3, 4, 0, 4, 0, 4, 3, 4, 2, 1, 4, 1, 4, 3, 2, 1, 4, 1, 2, 2, 4, 4, 0, 2, 0, 0, 4, 0, 2, 4, 2, 1, 3, 1, 2, 2, 1, 4, 1, 1, 2, 4, 3, 2, 3, 0, 4, 1, 1, 3, 2, 3, 2, 4, 2, 4, 1, 2, 0, 4, 3, 2, 4, 1, 1, 4, 3, 4, 1, 3, 0, 4, 1, 3, 2, 4, 2, 0, 4, 3, 1, 4, 0, 2, 3, 1, 0, 2, 3, 4, 3, 2, 4, 4, 2, 1, 1, 2, 3, 4, 2, 0, 4, 4, 4, 4, 2, 4, 0, 4, 1, 4, 2, 4, 1, 3, 3, 3, 2, 1, 3, 4, 0, 3, 3, 1, 0, 2, 0, 2, 3, 2, 0, 2, 2, 2, 3, 4, 0, 3, 1, 0, 0, 0, 2, 0, 1, 3, 2, 0, 0, 1, 0, 0, 0, 0, 1, 3, 4, 0, 4, 2, 1, 0, 4, 4, 3, 1, 3, 2, 4, 3, 3, 4, 4, 0, 4, 1, 2, 0, 0, 1, 2, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 0, 4, 0, 3, 3, 1, 3, 0, 4, 0, 4, 4, 3, 1, 0, 4, 3, 0, 3, 3, 3, 1, 4, 1, 4, 0, 3, 2, 1, 3, 4, 1, 1, 3, 0, 2, 1, 4, 0, 0, 4, 1, 2, 1, 2, 1, 3, 0, 4, 2, 3, 1, 0, 4, 0, 2, 2, 4, 2, 1, 3, 3, 3, 4, 4, 3, 0, 1, 2, 3, 3, 3, 4, 1, 4, 0]
pubkeycol892 = [2, 2, 0, 3, 3, 1, 3, 4, 1, 4, 0, 2, 0, 1, 4, 2, 2, 2, 4, 0, 1, 4, 4, 2, 3, 0, 3, 1, 4, 1, 3, 2, 3, 1, 2, 2, 4, 4, 1, 1, 2, 4, 0, 3, 0, 2, 2, 2, 1, 2, 3, 2, 4, 2, 1, 4, 2, 4, 1, 2, 2, 0, 4, 3, 0, 1, 1, 0, 3, 1, 4, 1, 0, 3, 3, 3, 0, 4, 3, 1, 4, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 3, 3, 2, 4, 3, 4, 4, 1, 2, 2, 2, 4, 1, 2, 3, 4, 0, 2, 0, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 4, 2, 0, 2, 1, 4, 2, 2, 0, 0, 4, 4, 1, 1, 1, 0, 1, 3, 0, 1, 3, 0, 3, 1, 1, 0, 1, 3, 3, 1, 4, 0, 1, 4, 0, 4, 1, 4, 3, 2, 2, 4, 1, 1, 4, 2, 3, 0, 0, 1, 1, 4, 4, 2, 3, 4, 2, 1, 3, 3, 4, 4, 2, 3, 3, 4, 1, 1, 2, 3, 2, 3, 0, 0, 2, 3, 0, 3, 2, 3, 0, 1, 4, 2, 4, 2, 4, 1, 3, 0, 0, 1, 2, 4, 3, 3, 3, 4, 1, 0, 3, 4, 0, 3, 0, 1, 3, 2, 3, 3, 3, 0, 0, 0, 4, 2, 3, 1, 0, 0, 3, 1, 3, 2, 4, 3, 0, 2, 0, 4, 3, 0, 1, 3, 2, 4, 4, 1, 0, 2, 4, 0, 3, 4, 4, 4, 3, 4, 4, 2, 2, 0, 3, 0, 1, 3, 0, 1, 2, 2, 1, 0, 0, 2, 4, 4, 2, 0, 0, 0, 2, 4, 2, 2, 3, 3, 0, 4, 3, 1, 2, 2, 0, 4, 4, 0, 4, 4, 4, 1, 4, 1, 3, 2, 2, 0, 3, 4, 2, 2, 1, 1, 1, 2, 3, 0, 3, 1, 2, 1, 3, 4, 4, 0, 3, 3, 0, 3, 2, 2, 3, 1, 4, 4, 2, 4, 0, 4, 1, 2, 1, 1, 0, 4, 2, 2, 4, 3, 0, 4, 0, 0, 3, 3, 3, 1, 2, 2, 0, 0, 2, 4, 3, 3, 4, 1, 1, 4, 4, 1, 2, 4, 1, 3, 4, 4, 0, 3, 4, 4, 0, 0, 2, 4, 2, 2, 4, 3, 2, 0]
pubkeycol893 = [2, 4, 1, 1, 0, 4, 2, 0, 4, 3, 3, 2, 3, 2, 4, 3, 1, 4, 1, 2, 1, 2, 1, 3, 2, 1, 0, 2, 0, 4, 3, 1, 3, 0, 2, 1, 4, 4, 2, 1, 1, 1, 4, 4, 4, 2, 0, 2, 0, 0, 3, 1, 0, 0, 2, 3, 1, 0, 2, 3, 3, 1, 4, 1, 3, 2, 2, 0, 2, 2, 2, 1, 3, 1, 4, 4, 4, 4, 1, 2, 4, 4, 0, 4, 4, 4, 3, 3, 1, 3, 4, 0, 1, 2, 4, 2, 2, 0, 1, 1, 3, 0, 1, 1, 3, 0, 3, 4, 2, 0, 2, 0, 4, 3, 0, 3, 1, 2, 1, 1, 3, 1, 0, 3, 3, 3, 4, 3, 2, 0, 4, 4, 0, 4, 1, 3, 3, 1, 1, 2, 0, 1, 1, 0, 4, 1, 0, 0, 0, 2, 0, 1, 3, 4, 1, 0, 4, 0, 0, 1, 0, 2, 3, 0, 1, 0, 2, 0, 2, 4, 4, 2, 1, 1, 4, 1, 3, 1, 3, 0, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 0, 4, 2, 2, 3, 0, 0, 2, 3, 0, 0, 4, 1, 1, 2, 0, 1, 2, 1, 0, 0, 3, 4, 0, 3, 0, 2, 0, 4, 4, 1, 4, 2, 2, 1, 0, 1, 0, 1, 3, 1, 2, 0, 0, 1, 4, 0, 2, 4, 3, 4, 1, 4, 2, 0, 0, 0, 4, 0, 2, 0, 1, 4, 1, 1, 3, 4, 3, 4, 0, 4, 3, 3, 1, 4, 1, 4, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 4, 2, 3, 2, 2, 3, 1, 2, 3, 4, 4, 3, 1, 4, 4, 0, 1, 3, 3, 1, 4, 1, 3, 4, 3, 2, 2, 4, 1, 4, 1, 2, 0, 0, 2, 3, 1, 2, 4, 1, 2, 3, 2, 3, 3, 4, 1, 3, 1, 4, 4, 3, 1, 1, 0, 3, 4, 3, 2, 2, 0, 3, 1, 2, 4, 0, 3, 4, 2, 0, 4, 1, 4, 1, 0, 4, 3, 4, 1, 1, 4, 4, 4, 0, 4, 1, 2, 2, 2, 4, 4, 0, 1, 0, 4, 4, 0, 1, 2, 3, 1, 4, 3, 3, 2, 1, 1, 2, 2, 4, 2, 1, 4, 4, 3, 0, 0, 3, 0, 3, 2, 2, 1]
pubkeycol894 = [2, 4, 4, 2, 4, 0, 2, 2, 2, 3, 4, 0, 3, 3, 2, 0, 1, 0, 4, 3, 2, 0, 0, 0, 2, 0, 4, 1, 0, 1, 4, 4, 3, 1, 0, 0, 2, 4, 2, 2, 4, 0, 1, 0, 1, 1, 3, 2, 0, 1, 1, 0, 1, 2, 1, 3, 2, 3, 3, 1, 3, 4, 2, 3, 3, 4, 1, 3, 3, 0, 3, 3, 4, 4, 1, 2, 3, 3, 3, 3, 4, 2, 2, 1, 3, 0, 4, 3, 2, 1, 4, 1, 3, 3, 0, 3, 2, 2, 3, 3, 2, 1, 1, 2, 2, 3, 1, 4, 2, 3, 2, 4, 4, 1, 1, 0, 4, 0, 3, 1, 4, 3, 2, 3, 3, 4, 2, 1, 0, 2, 2, 2, 2, 3, 2, 4, 0, 0, 3, 2, 1, 4, 4, 3, 2, 0, 2, 1, 4, 0, 4, 1, 2, 0, 4, 3, 0, 2, 3, 0, 1, 1, 2, 0, 0, 2, 1, 3, 1, 0, 3, 3, 3, 4, 2, 3, 2, 3, 0, 4, 2, 4, 3, 0, 1, 2, 1, 2, 4, 4, 1, 4, 2, 0, 1, 3, 1, 1, 1, 3, 2, 3, 2, 0, 0, 2, 3, 2, 2, 4, 0, 2, 2, 0, 0, 3, 1, 3, 0, 2, 0, 4, 0, 1, 3, 2, 3, 0, 2, 0, 4, 1, 0, 3, 1, 4, 4, 2, 2, 2, 1, 0, 4, 4, 2, 2, 2, 0, 1, 2, 2, 1, 3, 0, 1, 4, 2, 1, 4, 3, 4, 4, 4, 1, 3, 2, 2, 4, 2, 3, 1, 4, 4, 3, 1, 1, 1, 3, 3, 1, 4, 1, 0, 4, 1, 2, 1, 3, 2, 3, 0, 1, 0, 2, 0, 3, 3, 4, 1, 0, 3, 3, 4, 4, 4, 1, 3, 3, 0, 4, 2, 1, 3, 2, 2, 3, 2, 4, 1, 1, 1, 1, 4, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 4, 0, 0, 0, 4, 2, 0, 4, 1, 2, 3, 2, 1, 1, 0, 3, 3, 1, 4, 3, 3, 0, 4, 1, 2, 4, 3, 2, 1, 3, 4, 4, 4, 3, 3, 0, 1, 3, 0, 1, 2, 2, 3, 1, 4, 2, 2, 2, 2, 4, 2, 0, 0, 4, 0, 1, 1, 2, 1, 1, 3, 3, 0, 3, 1, 4, 2]
pubkeycol895 = [4, 3, 3, 4, 0, 3, 4, 4, 4, 1, 4, 0, 4, 0, 3, 2, 1, 3, 0, 2, 4, 3, 2, 4, 4, 0, 4, 0, 4, 4, 1, 0, 3, 3, 2, 0, 1, 4, 3, 3, 1, 2, 4, 2, 2, 1, 1, 0, 2, 0, 4, 1, 3, 2, 3, 2, 0, 2, 3, 1, 4, 4, 1, 4, 1, 2, 0, 1, 0, 2, 1, 3, 0, 2, 1, 1, 1, 3, 2, 3, 0, 3, 2, 3, 4, 0, 4, 1, 4, 4, 1, 0, 1, 3, 3, 0, 3, 4, 3, 1, 1, 1, 1, 4, 4, 0, 4, 0, 0, 4, 4, 4, 3, 3, 3, 1, 2, 0, 4, 3, 2, 4, 1, 1, 2, 3, 2, 4, 1, 0, 0, 2, 3, 2, 3, 2, 2, 2, 0, 0, 3, 4, 3, 1, 2, 4, 1, 4, 3, 1, 1, 3, 1, 0, 3, 0, 1, 3, 3, 4, 2, 1, 3, 3, 4, 4, 1, 3, 0, 0, 2, 1, 2, 0, 1, 4, 1, 3, 0, 0, 0, 0, 1, 2, 0, 0, 2, 4, 4, 1, 4, 3, 3, 3, 4, 2, 4, 0, 2, 4, 3, 4, 3, 1, 4, 0, 3, 4, 0, 1, 3, 0, 3, 3, 0, 1, 4, 3, 4, 2, 2, 4, 2, 1, 2, 3, 3, 4, 0, 0, 2, 1, 4, 3, 4, 3, 0, 2, 2, 2, 1, 2, 3, 3, 0, 4, 4, 1, 0, 2, 0, 0, 3, 4, 0, 0, 4, 0, 1, 3, 4, 4, 2, 3, 3, 3, 0, 2, 0, 0, 3, 0, 0, 0, 3, 1, 2, 3, 1, 0, 2, 1, 4, 2, 4, 4, 3, 1, 1, 4, 3, 1, 1, 0, 4, 1, 0, 2, 3, 0, 2, 3, 3, 1, 3, 2, 2, 1, 3, 4, 4, 4, 0, 1, 2, 1, 1, 1, 1, 2, 3, 1, 1, 2, 4, 4, 2, 1, 0, 2, 4, 1, 2, 2, 0, 3, 2, 4, 4, 0, 0, 1, 0, 0, 3, 0, 4, 2, 0, 4, 3, 1, 0, 3, 1, 4, 1, 3, 0, 2, 2, 1, 0, 2, 0, 1, 3, 0, 4, 1, 1, 3, 2, 3, 4, 4, 3, 4, 2, 3, 3, 4, 2, 2, 3, 4, 4, 2, 3, 2, 2, 0, 0, 3, 2, 1, 4, 4, 2, 3]
pubkeycol896 = [3, 2, 0, 3, 1, 2, 4, 4, 3, 4, 3, 1, 0, 4, 4, 1, 1, 2, 3, 4, 4, 4, 0, 1, 3, 1, 3, 4, 4, 1, 2, 0, 4, 2, 4, 2, 4, 2, 2, 3, 4, 0, 2, 0, 1, 3, 0, 4, 3, 2, 0, 4, 4, 2, 1, 3, 2, 3, 4, 2, 4, 1, 3, 3, 4, 0, 2, 1, 3, 1, 4, 2, 1, 4, 3, 1, 2, 1, 2, 1, 1, 0, 0, 4, 0, 2, 2, 4, 3, 4, 0, 1, 3, 2, 4, 4, 3, 4, 4, 1, 0, 3, 0, 3, 0, 0, 4, 2, 3, 0, 3, 2, 1, 3, 3, 0, 0, 4, 0, 3, 1, 2, 1, 1, 3, 3, 0, 2, 1, 4, 1, 2, 0, 2, 4, 3, 1, 2, 3, 3, 4, 3, 1, 3, 0, 4, 3, 0, 3, 1, 2, 3, 3, 1, 1, 2, 3, 3, 4, 2, 1, 2, 2, 3, 2, 4, 1, 0, 3, 1, 2, 4, 3, 0, 3, 2, 4, 2, 4, 4, 0, 2, 2, 2, 2, 3, 1, 0, 3, 0, 3, 1, 4, 3, 3, 1, 4, 1, 3, 2, 4, 1, 0, 1, 0, 4, 2, 0, 4, 1, 4, 0, 0, 0, 4, 0, 0, 1, 0, 0, 2, 4, 4, 2, 1, 2, 3, 2, 2, 3, 1, 1, 0, 3, 2, 4, 1, 0, 4, 3, 2, 3, 2, 4, 0, 1, 0, 1, 4, 3, 1, 4, 1, 4, 3, 1, 3, 2, 3, 4, 1, 3, 0, 0, 1, 3, 3, 3, 1, 4, 0, 0, 4, 4, 1, 2, 1, 3, 2, 1, 3, 4, 0, 0, 2, 2, 2, 2, 1, 2, 3, 3, 1, 1, 0, 2, 1, 2, 0, 4, 4, 3, 2, 3, 3, 1, 1, 0, 0, 0, 2, 3, 4, 2, 2, 1, 4, 3, 3, 4, 1, 0, 0, 1, 1, 3, 3, 3, 1, 2, 0, 2, 2, 1, 2, 0, 3, 3, 1, 4, 1, 4, 1, 2, 1, 2, 2, 0, 1, 4, 0, 3, 0, 2, 3, 2, 0, 1, 2, 1, 1, 3, 0, 3, 1, 0, 1, 1, 1, 0, 0, 4, 4, 2, 3, 2, 3, 0, 3, 3, 2, 1, 4, 4, 4, 3, 4, 4, 2, 3, 2, 3, 2, 4, 0, 4, 0, 2, 4, 4]
pubkeycol897 = [4, 3, 2, 0, 3, 3, 1, 0, 1, 3, 3, 4, 4, 1, 0, 2, 0, 4, 1, 1, 1, 2, 0, 3, 3, 3, 2, 2, 4, 1, 0, 1, 3, 1, 1, 4, 3, 1, 4, 4, 4, 2, 2, 3, 4, 2, 3, 0, 0, 0, 4, 1, 0, 0, 4, 3, 4, 2, 3, 2, 0, 1, 0, 1, 1, 0, 4, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 4, 4, 2, 2, 3, 3, 0, 1, 0, 2, 3, 3, 4, 1, 1, 1, 0, 3, 1, 2, 3, 2, 1, 1, 3, 1, 3, 3, 2, 3, 1, 1, 3, 3, 1, 0, 1, 1, 1, 4, 1, 1, 3, 0, 1, 1, 4, 0, 4, 2, 2, 1, 2, 1, 0, 0, 4, 4, 3, 2, 2, 4, 2, 1, 1, 0, 0, 3, 2, 3, 4, 4, 0, 3, 3, 3, 3, 0, 3, 3, 4, 1, 4, 0, 0, 1, 3, 4, 0, 4, 3, 3, 0, 0, 2, 0, 3, 3, 4, 0, 2, 2, 1, 3, 4, 1, 2, 3, 1, 1, 3, 3, 0, 4, 2, 4, 0, 4, 0, 0, 2, 4, 4, 3, 3, 0, 4, 4, 4, 1, 1, 2, 2, 0, 1, 0, 1, 1, 3, 3, 4, 2, 3, 4, 0, 4, 0, 3, 3, 0, 1, 0, 0, 4, 1, 4, 1, 2, 3, 3, 4, 2, 2, 4, 4, 3, 0, 3, 4, 2, 3, 3, 1, 2, 4, 2, 1, 0, 2, 0, 3, 4, 1, 2, 0, 2, 0, 3, 3, 3, 0, 1, 2, 0, 1, 2, 4, 2, 2, 0, 0, 0, 1, 1, 0, 3, 4, 1, 4, 0, 0, 0, 4, 2, 4, 2, 1, 4, 1, 0, 1, 1, 2, 3, 3, 2, 0, 4, 3, 0, 2, 4, 1, 2, 0, 1, 2, 0, 3, 3, 4, 0, 2, 2, 0, 2, 0, 4, 3, 2, 2, 2, 4, 4, 2, 1, 2, 2, 0, 3, 0, 0, 3, 0, 1, 0, 1, 0, 2, 3, 3, 0, 4, 2, 4, 2, 0, 1, 2, 2, 2, 2, 4, 2, 4, 3, 1, 4, 2, 1, 2, 3, 1, 1, 1, 2, 3, 4, 0, 2, 2, 2, 3, 3, 2, 3, 4, 0, 2, 1, 0, 2, 3, 0, 0, 1, 4, 2, 2, 4, 0, 3, 2]
pubkeycol898 = [3, 0, 2, 1, 0, 0, 2, 3, 4, 0, 3, 3, 3, 4, 2, 2, 3, 3, 0, 1, 1, 4, 2, 4, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 3, 3, 2, 3, 0, 4, 1, 3, 0, 0, 4, 2, 1, 1, 3, 2, 0, 2, 4, 1, 3, 1, 4, 1, 4, 4, 4, 4, 0, 4, 4, 2, 2, 2, 1, 0, 1, 3, 3, 3, 2, 1, 1, 0, 0, 1, 4, 2, 0, 4, 3, 1, 1, 0, 0, 4, 4, 2, 0, 2, 1, 4, 4, 4, 3, 2, 1, 4, 4, 0, 0, 2, 1, 0, 0, 2, 4, 0, 1, 1, 0, 0, 2, 2, 0, 3, 3, 4, 2, 0, 3, 4, 1, 4, 0, 1, 2, 3, 1, 4, 2, 0, 0, 0, 4, 0, 2, 1, 1, 4, 2, 3, 0, 3, 2, 2, 1, 0, 0, 2, 4, 1, 4, 3, 4, 2, 4, 1, 4, 2, 1, 3, 1, 0, 4, 4, 4, 3, 0, 4, 2, 4, 4, 2, 1, 4, 4, 3, 0, 2, 0, 4, 0, 2, 2, 3, 3, 2, 4, 2, 0, 3, 1, 0, 2, 4, 0, 2, 1, 4, 1, 3, 3, 2, 2, 4, 0, 3, 0, 3, 2, 1, 3, 1, 1, 0, 2, 2, 0, 3, 4, 0, 3, 1, 2, 3, 2, 0, 4, 2, 2, 0, 0, 4, 3, 2, 4, 0, 2, 3, 0, 4, 4, 2, 3, 1, 2, 1, 0, 2, 1, 0, 4, 1, 4, 4, 3, 2, 4, 4, 1, 2, 3, 3, 4, 0, 4, 0, 4, 1, 3, 2, 3, 3, 0, 3, 1, 0, 4, 4, 3, 3, 0, 4, 3, 3, 3, 2, 0, 1, 3, 0, 1, 1, 2, 4, 4, 4, 2, 2, 2, 4, 2, 1, 3, 2, 2, 0, 2, 2, 0, 4, 1, 4, 4, 2, 0, 3, 2, 4, 1, 2, 2, 1, 0, 3, 2, 2, 4, 3, 1, 0, 1, 2, 4, 2, 0, 2, 2, 4, 1, 1, 1, 3, 2, 3, 4, 2, 2, 2, 2, 3, 0, 1, 2, 1, 0, 0, 4, 0, 4, 3, 0, 0, 3, 2, 1, 2, 0, 4, 3, 2, 2, 2, 0, 2, 3, 2, 3, 3, 4, 1, 4, 4, 0, 1, 3, 2, 2, 2, 3, 1, 1, 3, 2, 4]
pubkeycol899 = [3, 4, 4, 4, 1, 1, 2, 2, 3, 4, 2, 3, 1, 1, 2, 4, 0, 3, 0, 2, 0, 4, 4, 1, 0, 3, 3, 2, 2, 3, 2, 2, 3, 0, 2, 3, 1, 1, 1, 1, 1, 0, 4, 4, 4, 1, 3, 2, 0, 4, 3, 4, 2, 2, 3, 2, 2, 0, 3, 3, 2, 2, 4, 4, 3, 4, 3, 3, 1, 4, 3, 1, 3, 1, 2, 3, 4, 2, 3, 2, 3, 4, 0, 2, 2, 2, 0, 0, 0, 0, 4, 0, 1, 4, 4, 2, 1, 1, 2, 3, 3, 3, 4, 3, 3, 2, 2, 3, 1, 3, 2, 0, 1, 3, 0, 1, 1, 0, 0, 3, 2, 2, 2, 2, 0, 2, 0, 4, 3, 0, 1, 1, 1, 3, 4, 4, 4, 3, 1, 1, 4, 3, 2, 0, 1, 2, 3, 0, 0, 0, 2, 1, 1, 0, 2, 2, 3, 2, 2, 3, 0, 3, 2, 4, 3, 3, 4, 3, 2, 3, 3, 0, 0, 0, 2, 0, 4, 3, 1, 4, 4, 3, 1, 1, 1, 1, 4, 4, 0, 2, 3, 0, 0, 0, 4, 4, 0, 0, 1, 3, 4, 3, 0, 0, 4, 2, 0, 1, 4, 3, 0, 3, 2, 4, 3, 4, 4, 0, 3, 3, 2, 1, 3, 2, 0, 2, 3, 2, 1, 3, 0, 3, 4, 4, 1, 0, 1, 1, 2, 0, 3, 3, 0, 1, 4, 2, 0, 3, 1, 4, 0, 2, 4, 1, 0, 3, 0, 2, 2, 3, 0, 0, 0, 3, 4, 3, 2, 1, 0, 3, 0, 2, 1, 1, 1, 0, 0, 2, 3, 1, 1, 2, 1, 2, 0, 4, 1, 1, 0, 4, 4, 2, 4, 4, 1, 0, 3, 3, 3, 0, 1, 0, 1, 3, 1, 3, 4, 1, 0, 0, 1, 0, 1, 2, 2, 1, 3, 2, 0, 3, 3, 2, 2, 4, 4, 1, 4, 1, 0, 3, 2, 1, 4, 0, 4, 4, 2, 2, 3, 4, 3, 2, 3, 3, 0, 3, 1, 3, 2, 1, 3, 4, 3, 3, 2, 2, 1, 1, 0, 1, 2, 0, 0, 4, 0, 4, 3, 0, 4, 1, 0, 0, 4, 2, 2, 3, 0, 4, 0, 4, 2, 2, 0, 4, 3, 2, 4, 4, 1, 4, 2, 4, 2, 3, 4, 4, 3, 4, 1, 3]
pubkeycol900 = [3, 4, 2, 2, 2, 3, 4, 3, 0, 2, 4, 3, 4, 1, 2, 0, 1, 3, 1, 1, 1, 2, 0, 3, 1, 0, 3, 2, 0, 3, 1, 4, 2, 3, 2, 4, 1, 2, 2, 4, 1, 2, 2, 4, 0, 3, 3, 4, 0, 2, 2, 0, 1, 3, 0, 4, 2, 0, 4, 4, 3, 2, 3, 3, 2, 4, 2, 4, 0, 0, 4, 4, 4, 2, 0, 0, 2, 1, 3, 1, 4, 0, 1, 1, 0, 0, 2, 3, 3, 2, 2, 2, 1, 0, 3, 0, 1, 3, 4, 4, 1, 1, 4, 3, 0, 3, 4, 2, 2, 2, 4, 3, 4, 0, 4, 0, 4, 0, 0, 1, 4, 0, 2, 1, 2, 3, 1, 0, 3, 1, 1, 3, 1, 1, 1, 3, 3, 2, 4, 1, 0, 4, 1, 1, 4, 4, 2, 0, 0, 1, 2, 4, 2, 2, 3, 4, 3, 1, 4, 4, 1, 0, 3, 2, 3, 1, 4, 2, 2, 2, 4, 3, 2, 2, 0, 0, 3, 1, 0, 0, 2, 4, 4, 1, 3, 0, 1, 2, 3, 4, 2, 0, 4, 2, 1, 0, 2, 3, 2, 1, 0, 2, 4, 2, 0, 2, 2, 2, 1, 3, 2, 3, 0, 0, 4, 0, 0, 0, 3, 3, 0, 4, 2, 3, 3, 4, 0, 1, 1, 2, 4, 3, 0, 4, 4, 4, 3, 0, 1, 2, 2, 3, 1, 4, 0, 1, 4, 0, 4, 4, 3, 2, 2, 4, 4, 4, 1, 4, 2, 2, 2, 3, 3, 4, 3, 3, 1, 2, 1, 4, 0, 0, 0, 3, 1, 3, 0, 0, 3, 4, 0, 2, 0, 3, 2, 3, 3, 2, 2, 0, 3, 1, 3, 4, 3, 2, 0, 4, 2, 4, 4, 3, 2, 3, 0, 4, 3, 1, 0, 0, 2, 2, 4, 2, 2, 1, 4, 4, 2, 0, 0, 1, 1, 1, 1, 3, 1, 0, 1, 1, 0, 1, 3, 4, 1, 2, 0, 2, 2, 3, 0, 1, 2, 3, 4, 0, 4, 1, 4, 3, 4, 2, 0, 2, 1, 1, 1, 1, 4, 0, 3, 0, 3, 3, 0, 3, 4, 3, 0, 0, 0, 3, 1, 3, 3, 3, 2, 0, 2, 0, 1, 3, 4, 2, 3, 2, 2, 2, 2, 1, 2, 4, 4, 2, 0, 1, 4, 1, 2, 1]
pubkeycol901 = [4, 2, 2, 1, 2, 0, 0, 2, 1, 3, 0, 0, 1, 3, 1, 0, 1, 3, 3, 0, 0, 2, 4, 2, 0, 1, 4, 2, 1, 1, 0, 4, 4, 3, 3, 4, 3, 4, 3, 2, 0, 1, 2, 0, 3, 0, 1, 0, 2, 4, 2, 0, 0, 0, 1, 4, 0, 3, 3, 2, 1, 3, 0, 4, 0, 3, 2, 2, 0, 0, 0, 4, 2, 3, 2, 0, 3, 4, 1, 4, 2, 0, 2, 4, 1, 1, 4, 1, 0, 3, 0, 0, 1, 1, 3, 3, 2, 4, 0, 0, 0, 3, 0, 1, 3, 4, 1, 4, 0, 0, 1, 3, 4, 1, 0, 1, 0, 4, 2, 1, 3, 3, 4, 2, 1, 2, 2, 2, 3, 0, 4, 3, 4, 3, 3, 2, 2, 4, 4, 4, 0, 0, 0, 2, 1, 3, 1, 1, 1, 1, 1, 1, 0, 2, 3, 1, 3, 0, 2, 4, 3, 0, 4, 3, 0, 1, 1, 0, 4, 0, 1, 2, 0, 2, 3, 1, 0, 2, 1, 1, 3, 2, 2, 1, 1, 1, 3, 0, 3, 2, 0, 2, 3, 3, 4, 0, 0, 1, 4, 0, 3, 3, 4, 2, 4, 4, 1, 1, 2, 0, 1, 1, 3, 0, 2, 3, 0, 3, 4, 3, 0, 3, 1, 2, 3, 2, 0, 0, 3, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 4, 1, 4, 2, 0, 2, 2, 2, 1, 2, 4, 2, 4, 3, 0, 4, 1, 0, 0, 0, 4, 1, 3, 2, 1, 0, 4, 3, 3, 0, 2, 4, 2, 2, 1, 3, 3, 2, 4, 3, 0, 3, 2, 0, 0, 4, 3, 4, 1, 2, 2, 0, 1, 0, 2, 4, 3, 0, 3, 3, 1, 1, 3, 0, 0, 0, 3, 2, 1, 1, 2, 0, 0, 3, 0, 0, 4, 2, 0, 1, 1, 2, 2, 3, 0, 2, 1, 2, 0, 2, 3, 2, 4, 3, 3, 0, 0, 3, 4, 2, 0, 4, 1, 4, 4, 4, 3, 1, 0, 4, 0, 0, 2, 4, 3, 2, 0, 2, 4, 4, 0, 0, 1, 1, 4, 1, 2, 3, 4, 4, 3, 4, 0, 3, 2, 1, 3, 2, 2, 3, 4, 3, 0, 2, 3, 0, 2, 1, 1, 4, 3, 2, 0, 2, 3, 3, 0, 2, 2, 0]
pubkeycol902 = [1, 3, 3, 2, 2, 3, 1, 2, 2, 3, 3, 1, 3, 3, 1, 3, 3, 3, 0, 4, 1, 2, 3, 2, 2, 2, 4, 1, 2, 0, 1, 3, 0, 0, 3, 0, 1, 3, 2, 3, 2, 0, 4, 2, 3, 3, 1, 3, 0, 0, 3, 4, 4, 3, 1, 0, 2, 4, 2, 2, 3, 3, 1, 4, 1, 1, 3, 1, 4, 1, 3, 4, 2, 3, 3, 4, 0, 0, 4, 2, 3, 0, 2, 4, 1, 3, 4, 4, 1, 3, 1, 2, 4, 1, 4, 3, 4, 3, 2, 4, 1, 3, 3, 0, 2, 1, 0, 3, 1, 2, 3, 2, 3, 4, 3, 0, 0, 0, 4, 3, 3, 2, 1, 1, 2, 1, 1, 1, 4, 1, 2, 0, 0, 2, 3, 3, 4, 1, 0, 1, 3, 3, 2, 4, 2, 3, 0, 2, 1, 0, 1, 1, 3, 0, 3, 0, 3, 1, 2, 0, 0, 3, 1, 0, 4, 4, 4, 2, 3, 0, 2, 0, 3, 2, 3, 3, 1, 3, 4, 4, 2, 3, 3, 0, 3, 2, 4, 3, 4, 4, 3, 0, 2, 0, 0, 4, 1, 0, 3, 2, 0, 0, 4, 1, 1, 1, 3, 0, 3, 1, 4, 1, 1, 0, 1, 3, 2, 0, 3, 0, 4, 2, 3, 3, 3, 1, 3, 1, 4, 2, 2, 3, 2, 4, 4, 1, 2, 4, 2, 1, 4, 3, 2, 1, 3, 1, 3, 2, 0, 2, 1, 2, 2, 0, 2, 1, 3, 0, 4, 2, 1, 4, 1, 1, 0, 1, 0, 3, 3, 2, 2, 1, 0, 1, 3, 3, 3, 4, 2, 1, 0, 0, 1, 4, 4, 0, 3, 4, 4, 0, 2, 2, 4, 2, 0, 1, 2, 2, 4, 1, 1, 3, 4, 3, 3, 3, 0, 0, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 3, 0, 1, 2, 1, 3, 4, 1, 0, 1, 2, 0, 0, 4, 2, 1, 2, 4, 1, 1, 2, 1, 3, 4, 3, 1, 2, 1, 2, 4, 2, 0, 1, 0, 2, 2, 0, 4, 4, 4, 1, 0, 2, 0, 1, 2, 2, 0, 3, 2, 3, 4, 4, 2, 4, 3, 1, 2, 3, 3, 0, 1, 1, 4, 3, 1, 3, 4, 0, 2, 1, 0, 1, 1, 2, 4, 2, 3, 0, 3, 3, 3]
pubkeycol903 = [0, 4, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 4, 2, 2, 3, 3, 2, 0, 0, 4, 3, 0, 3, 2, 4, 2, 3, 1, 4, 0, 3, 4, 2, 1, 3, 4, 3, 4, 0, 3, 4, 4, 3, 0, 0, 1, 2, 4, 0, 0, 3, 1, 4, 3, 0, 2, 4, 2, 4, 3, 2, 3, 3, 0, 3, 3, 1, 1, 3, 3, 0, 2, 0, 3, 1, 1, 0, 1, 2, 3, 2, 1, 0, 2, 2, 1, 4, 1, 1, 0, 3, 1, 0, 2, 1, 2, 2, 3, 4, 2, 1, 2, 1, 0, 1, 4, 2, 0, 0, 4, 2, 3, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 4, 4, 2, 3, 2, 3, 4, 4, 0, 4, 3, 0, 2, 2, 3, 1, 4, 3, 1, 4, 4, 2, 2, 4, 3, 0, 1, 0, 3, 4, 2, 4, 1, 2, 2, 0, 2, 1, 3, 2, 2, 1, 3, 1, 2, 0, 0, 2, 4, 1, 3, 3, 2, 3, 0, 1, 2, 4, 0, 4, 2, 1, 2, 1, 0, 2, 2, 1, 3, 1, 4, 4, 2, 4, 0, 4, 4, 0, 1, 2, 1, 2, 3, 3, 4, 3, 4, 0, 2, 3, 0, 0, 2, 3, 4, 1, 3, 3, 2, 1, 0, 3, 3, 2, 1, 2, 4, 2, 2, 4, 1, 1, 2, 3, 4, 1, 3, 1, 0, 3, 0, 0, 3, 4, 3, 4, 4, 2, 1, 0, 0, 0, 4, 4, 1, 0, 2, 3, 3, 1, 1, 0, 0, 3, 0, 1, 4, 3, 0, 0, 4, 0, 0, 3, 4, 4, 4, 0, 0, 2, 1, 3, 1, 3, 0, 0, 2, 1, 3, 2, 3, 4, 1, 0, 4, 2, 0, 0, 4, 4, 1, 0, 0, 4, 3, 2, 3, 1, 1, 3, 1, 4, 4, 4, 3, 4, 1, 0, 0, 0, 3, 3, 1, 4, 3, 1, 2, 4, 1, 3, 1, 0, 1, 2, 2, 1, 0, 4, 2, 1, 2, 4, 2, 2, 0, 3, 0, 2, 4, 0, 0, 1, 0, 1, 4, 4, 0, 4, 2, 2, 1, 0, 0, 3, 0, 4, 4, 4, 1, 3, 3, 4, 0, 3, 0, 0, 4, 0, 0, 3, 0, 0, 4, 1, 1, 3, 3, 1, 2, 0, 0, 4, 0, 0]
pubkeycol904 = [0, 1, 4, 2, 3, 3, 2, 4, 3, 3, 4, 0, 4, 3, 4, 0, 1, 3, 1, 1, 3, 2, 3, 3, 3, 1, 0, 4, 4, 2, 2, 0, 4, 3, 0, 2, 4, 2, 2, 4, 1, 1, 4, 0, 1, 3, 2, 2, 3, 2, 3, 4, 4, 2, 0, 4, 1, 4, 2, 1, 1, 1, 4, 2, 0, 3, 3, 4, 0, 2, 3, 0, 1, 3, 2, 2, 1, 0, 4, 4, 3, 3, 3, 0, 2, 0, 3, 1, 2, 0, 2, 0, 3, 4, 1, 1, 2, 4, 2, 1, 3, 4, 3, 4, 4, 3, 1, 0, 3, 4, 4, 1, 0, 1, 2, 2, 3, 2, 1, 3, 3, 1, 4, 4, 3, 0, 0, 2, 2, 4, 2, 4, 4, 1, 4, 1, 2, 2, 2, 0, 1, 1, 1, 1, 4, 4, 0, 0, 2, 2, 0, 1, 4, 1, 4, 3, 0, 2, 0, 4, 4, 3, 2, 4, 3, 1, 2, 4, 0, 3, 2, 1, 4, 3, 0, 4, 3, 2, 2, 2, 0, 3, 0, 3, 1, 4, 3, 2, 1, 4, 2, 0, 1, 0, 4, 1, 1, 0, 4, 0, 3, 2, 0, 4, 1, 2, 0, 2, 0, 4, 4, 1, 1, 1, 1, 2, 1, 4, 0, 0, 3, 3, 1, 2, 3, 4, 0, 3, 4, 2, 0, 2, 3, 2, 4, 0, 2, 3, 3, 0, 2, 4, 2, 3, 3, 3, 1, 1, 2, 0, 3, 3, 4, 2, 1, 2, 2, 4, 3, 4, 3, 2, 2, 0, 3, 0, 3, 0, 2, 2, 1, 2, 3, 0, 3, 0, 0, 1, 4, 1, 1, 3, 1, 3, 2, 1, 2, 4, 0, 4, 1, 4, 4, 1, 3, 1, 3, 3, 2, 1, 1, 3, 3, 3, 3, 3, 1, 1, 4, 0, 2, 0, 2, 1, 3, 0, 2, 1, 0, 4, 1, 3, 4, 4, 4, 0, 3, 3, 4, 2, 4, 1, 4, 0, 2, 1, 3, 0, 3, 3, 3, 1, 2, 0, 0, 3, 3, 4, 0, 1, 0, 0, 3, 3, 2, 3, 2, 3, 3, 0, 0, 0, 2, 2, 2, 1, 1, 3, 1, 2, 1, 1, 2, 1, 4, 4, 1, 1, 2, 2, 3, 4, 4, 1, 4, 4, 0, 1, 3, 1, 3, 1, 4, 2, 2, 3, 3, 3, 0, 4]
pubkeycol905 = [2, 1, 4, 2, 4, 2, 2, 0, 1, 4, 0, 2, 3, 2, 4, 3, 0, 4, 0, 0, 3, 3, 4, 0, 2, 1, 2, 2, 2, 4, 1, 2, 2, 3, 0, 4, 2, 3, 3, 2, 0, 2, 2, 0, 2, 0, 3, 1, 4, 1, 2, 2, 1, 3, 2, 4, 4, 1, 4, 3, 2, 3, 0, 4, 1, 1, 3, 1, 2, 0, 4, 0, 0, 1, 1, 0, 3, 4, 2, 4, 0, 0, 4, 1, 4, 3, 1, 1, 1, 4, 2, 4, 3, 0, 0, 2, 1, 2, 3, 3, 3, 2, 2, 3, 4, 2, 3, 2, 0, 0, 4, 2, 1, 1, 1, 4, 3, 0, 3, 1, 3, 2, 1, 4, 2, 1, 0, 1, 4, 2, 2, 3, 4, 3, 3, 0, 4, 3, 4, 3, 4, 1, 2, 0, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 4, 4, 2, 0, 2, 1, 1, 2, 4, 4, 3, 0, 2, 1, 2, 2, 4, 1, 0, 0, 0, 0, 0, 2, 1, 4, 2, 1, 0, 1, 1, 2, 0, 4, 2, 2, 3, 4, 3, 2, 2, 1, 3, 2, 2, 4, 3, 1, 1, 1, 4, 2, 2, 4, 4, 2, 3, 4, 4, 1, 4, 4, 2, 0, 2, 0, 0, 3, 1, 3, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 4, 3, 2, 2, 3, 0, 3, 2, 4, 0, 0, 2, 0, 3, 1, 1, 4, 2, 4, 1, 2, 1, 0, 0, 0, 0, 3, 4, 3, 0, 0, 2, 0, 0, 3, 4, 3, 3, 1, 2, 1, 1, 1, 4, 2, 2, 2, 3, 0, 0, 2, 2, 3, 1, 1, 3, 3, 3, 4, 1, 1, 0, 4, 1, 2, 0, 1, 2, 1, 2, 1, 4, 3, 4, 4, 2, 1, 2, 0, 0, 1, 4, 1, 1, 1, 4, 3, 0, 3, 2, 0, 3, 4, 1, 4, 1, 1, 4, 1, 4, 2, 4, 3, 1, 4, 3, 4, 1, 1, 4, 1, 4, 4, 1, 1, 2, 2, 1, 3, 3, 3, 4, 0, 0, 0, 0, 1, 4, 0, 3, 1, 2, 4, 0, 1, 4, 1, 0, 4, 2, 1, 4, 0, 0, 2, 2, 4, 3, 0, 4, 2, 2, 0, 2, 4, 2, 3, 1, 1, 3, 0, 3, 3, 1, 3, 0]
pubkeycol906 = [2, 4, 1, 2, 1, 3, 3, 2, 1, 3, 3, 1, 3, 0, 1, 2, 3, 4, 3, 4, 4, 0, 3, 0, 0, 3, 0, 2, 3, 4, 3, 3, 1, 0, 4, 2, 2, 0, 1, 3, 4, 4, 2, 4, 2, 0, 3, 4, 0, 3, 3, 1, 2, 3, 3, 2, 1, 2, 3, 3, 3, 0, 4, 2, 3, 3, 2, 0, 0, 4, 1, 0, 2, 0, 1, 2, 3, 3, 3, 2, 3, 0, 0, 3, 0, 4, 4, 2, 2, 1, 3, 1, 1, 1, 2, 3, 0, 2, 2, 4, 4, 3, 0, 4, 1, 0, 2, 0, 0, 0, 1, 0, 0, 4, 0, 1, 2, 4, 3, 4, 0, 4, 2, 4, 2, 4, 4, 0, 1, 3, 1, 0, 4, 2, 0, 3, 2, 1, 2, 0, 0, 0, 2, 4, 0, 1, 3, 4, 1, 4, 0, 3, 4, 1, 4, 0, 2, 4, 3, 2, 3, 3, 0, 0, 3, 3, 1, 4, 1, 0, 3, 0, 2, 3, 4, 1, 4, 0, 2, 0, 3, 2, 2, 0, 3, 0, 4, 0, 3, 3, 4, 1, 4, 4, 1, 4, 3, 0, 4, 3, 3, 4, 1, 0, 3, 3, 0, 1, 3, 4, 3, 4, 1, 3, 0, 1, 4, 0, 4, 3, 0, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 0, 0, 4, 4, 2, 3, 2, 1, 4, 1, 2, 1, 0, 4, 4, 2, 2, 4, 4, 2, 2, 0, 1, 4, 3, 1, 3, 3, 4, 0, 0, 1, 2, 1, 1, 0, 4, 4, 0, 0, 0, 0, 2, 2, 3, 2, 0, 4, 1, 3, 0, 4, 4, 1, 2, 1, 1, 3, 4, 0, 4, 1, 4, 0, 1, 3, 0, 4, 3, 1, 0, 3, 2, 2, 0, 0, 0, 1, 3, 4, 2, 1, 2, 2, 2, 1, 2, 3, 1, 0, 1, 4, 1, 3, 4, 2, 3, 0, 3, 4, 2, 1, 4, 2, 4, 4, 3, 0, 3, 1, 1, 4, 0, 0, 2, 1, 3, 0, 2, 1, 0, 2, 1, 1, 1, 4, 1, 2, 0, 2, 4, 4, 3, 0, 1, 3, 3, 3, 4, 4, 4, 4, 4, 4, 1, 3, 2, 2, 0, 3, 2, 1, 0, 4, 4, 4, 2, 3, 3, 4, 1, 3, 3, 0, 4, 1, 1, 3, 0]
pubkeycol907 = [1, 2, 2, 0, 4, 1, 3, 3, 0, 4, 1, 4, 3, 3, 0, 1, 2, 0, 4, 0, 3, 4, 4, 4, 4, 4, 2, 1, 1, 4, 1, 1, 1, 1, 0, 4, 3, 0, 4, 3, 1, 3, 0, 1, 0, 2, 2, 4, 3, 2, 3, 4, 2, 4, 2, 1, 1, 0, 0, 0, 0, 1, 3, 4, 4, 3, 3, 1, 0, 1, 3, 4, 2, 1, 1, 0, 4, 3, 0, 3, 4, 4, 4, 2, 2, 0, 3, 2, 3, 1, 1, 4, 0, 4, 2, 0, 1, 3, 4, 0, 4, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 3, 1, 2, 2, 4, 3, 3, 1, 1, 3, 2, 0, 2, 2, 3, 4, 0, 1, 2, 2, 1, 2, 3, 4, 0, 3, 4, 1, 4, 3, 3, 1, 0, 0, 2, 2, 2, 1, 2, 3, 4, 2, 1, 3, 1, 4, 0, 3, 3, 1, 0, 1, 3, 1, 2, 1, 1, 3, 1, 1, 2, 1, 0, 1, 0, 3, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 4, 4, 3, 3, 4, 3, 3, 0, 4, 3, 2, 3, 0, 4, 0, 3, 3, 1, 1, 3, 3, 0, 4, 3, 2, 2, 3, 2, 0, 0, 0, 3, 2, 4, 3, 4, 2, 0, 0, 4, 0, 3, 1, 3, 1, 2, 1, 1, 2, 1, 1, 2, 2, 4, 4, 3, 1, 1, 2, 2, 2, 4, 2, 1, 3, 3, 4, 0, 4, 2, 0, 1, 1, 3, 2, 0, 2, 1, 1, 4, 3, 4, 1, 0, 4, 4, 3, 0, 1, 1, 3, 4, 4, 1, 2, 0, 0, 4, 1, 2, 4, 1, 4, 0, 0, 4, 1, 4, 0, 2, 3, 3, 4, 4, 0, 4, 2, 0, 2, 2, 0, 4, 2, 4, 3, 0, 1, 4, 0, 4, 2, 3, 3, 1, 4, 3, 1, 2, 0, 3, 4, 1, 2, 2, 4, 3, 1, 1, 2, 3, 2, 3, 2, 1, 0, 3, 4, 2, 0, 1, 0, 0, 3, 3, 2, 0, 3, 0, 1, 1, 4, 4, 4, 0, 2, 1, 4, 1, 0, 0, 4, 1, 1, 1, 1, 4, 0, 4, 1, 1, 1, 3, 2, 1, 3, 3, 0, 4, 1, 0, 1, 0, 1, 1, 1, 2, 4, 3, 1, 3]
pubkeycol908 = [1, 0, 2, 3, 1, 4, 4, 2, 1, 3, 1, 2, 3, 1, 3, 0, 2, 1, 4, 4, 4, 0, 2, 2, 1, 1, 0, 4, 3, 3, 3, 2, 0, 2, 4, 0, 1, 4, 0, 4, 2, 0, 4, 3, 1, 3, 1, 3, 0, 1, 1, 0, 3, 2, 2, 1, 3, 4, 4, 1, 2, 1, 1, 3, 3, 3, 1, 0, 1, 2, 1, 1, 4, 3, 4, 4, 3, 3, 4, 4, 0, 1, 1, 3, 3, 0, 1, 0, 2, 1, 0, 1, 4, 0, 0, 4, 0, 0, 3, 4, 3, 3, 4, 3, 4, 2, 3, 2, 4, 1, 4, 1, 2, 0, 0, 0, 1, 4, 3, 3, 2, 4, 1, 1, 2, 3, 0, 3, 3, 4, 4, 1, 1, 0, 3, 3, 4, 2, 2, 4, 2, 4, 1, 3, 0, 4, 4, 3, 0, 4, 1, 0, 1, 4, 2, 0, 0, 4, 0, 2, 1, 1, 1, 4, 4, 3, 2, 4, 4, 3, 1, 0, 1, 4, 0, 1, 3, 1, 4, 2, 3, 1, 2, 0, 1, 0, 2, 3, 1, 0, 0, 1, 3, 1, 4, 1, 4, 3, 2, 0, 3, 3, 3, 2, 1, 1, 1, 0, 0, 1, 3, 2, 4, 3, 4, 2, 3, 0, 0, 0, 1, 3, 2, 3, 2, 1, 0, 1, 0, 3, 2, 1, 1, 1, 1, 1, 2, 4, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 3, 3, 1, 1, 0, 2, 4, 2, 0, 4, 2, 3, 1, 0, 1, 0, 3, 0, 0, 2, 2, 1, 4, 4, 4, 0, 4, 2, 2, 3, 0, 0, 2, 0, 2, 0, 4, 3, 2, 3, 2, 3, 1, 0, 3, 4, 1, 3, 1, 1, 2, 3, 3, 4, 1, 1, 2, 3, 0, 1, 0, 4, 4, 2, 3, 1, 0, 1, 3, 2, 3, 2, 3, 3, 3, 2, 3, 4, 0, 1, 1, 4, 4, 0, 1, 0, 3, 0, 4, 4, 2, 1, 0, 1, 4, 0, 3, 3, 0, 3, 3, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 4, 1, 4, 0, 4, 4, 4, 0, 0, 1, 4, 4, 1, 4, 0, 1, 4, 0, 3, 3, 1, 4, 1, 4, 3, 4, 3, 0, 3, 3, 4, 3, 1, 2, 1]
pubkeycol909 = [1, 4, 2, 2, 0, 4, 3, 1, 4, 0, 2, 3, 2, 2, 0, 1, 4, 3, 2, 2, 0, 4, 3, 4, 2, 2, 1, 3, 1, 2, 2, 1, 0, 2, 4, 1, 2, 2, 2, 3, 2, 1, 3, 0, 0, 2, 0, 4, 1, 3, 0, 3, 1, 1, 0, 4, 1, 1, 3, 3, 1, 0, 2, 3, 0, 2, 4, 1, 3, 4, 1, 3, 2, 4, 4, 2, 4, 2, 3, 2, 1, 4, 0, 1, 2, 1, 0, 4, 4, 2, 0, 4, 0, 3, 4, 2, 0, 1, 3, 0, 0, 2, 3, 1, 3, 1, 3, 3, 1, 1, 4, 0, 0, 3, 2, 1, 4, 4, 3, 2, 3, 2, 2, 2, 1, 0, 3, 1, 0, 2, 3, 0, 0, 4, 1, 0, 4, 2, 2, 0, 4, 0, 3, 1, 4, 2, 3, 1, 2, 4, 0, 2, 3, 4, 4, 4, 1, 3, 0, 2, 2, 0, 4, 2, 3, 4, 4, 1, 3, 3, 2, 2, 3, 0, 3, 4, 3, 2, 2, 2, 3, 1, 3, 3, 4, 0, 2, 4, 4, 3, 0, 0, 0, 0, 1, 4, 0, 2, 3, 2, 4, 4, 4, 0, 2, 4, 1, 4, 0, 2, 4, 4, 3, 3, 3, 3, 2, 1, 0, 1, 0, 4, 0, 3, 2, 4, 1, 1, 0, 4, 3, 2, 0, 2, 0, 1, 4, 4, 2, 3, 0, 2, 1, 4, 3, 0, 4, 1, 0, 2, 1, 4, 3, 0, 0, 4, 0, 3, 2, 0, 2, 3, 1, 3, 0, 0, 1, 2, 2, 2, 1, 2, 4, 3, 4, 4, 4, 1, 0, 3, 1, 2, 4, 0, 3, 1, 4, 0, 2, 0, 2, 2, 1, 1, 0, 3, 3, 1, 2, 2, 0, 3, 0, 1, 0, 0, 4, 3, 2, 2, 4, 1, 1, 1, 4, 4, 0, 2, 2, 3, 0, 1, 4, 1, 1, 0, 2, 2, 2, 2, 4, 4, 0, 3, 1, 4, 2, 0, 2, 3, 3, 3, 3, 1, 3, 3, 2, 0, 0, 2, 1, 1, 2, 4, 0, 4, 3, 2, 0, 4, 2, 1, 4, 3, 3, 4, 4, 0, 2, 4, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 0, 0, 0, 1, 4, 3, 4, 1, 4, 4, 1, 4, 2, 1, 2, 3, 4, 0, 0, 2]
pubkeycol910 = [1, 0, 3, 0, 4, 0, 4, 0, 0, 1, 1, 0, 3, 4, 1, 1, 3, 0, 1, 0, 3, 2, 2, 0, 3, 3, 3, 1, 4, 2, 0, 3, 2, 3, 2, 2, 1, 1, 0, 1, 4, 0, 0, 1, 1, 4, 1, 3, 2, 1, 3, 3, 2, 3, 2, 0, 0, 1, 4, 4, 3, 2, 4, 4, 2, 3, 0, 3, 1, 4, 0, 1, 4, 1, 3, 2, 0, 4, 0, 2, 3, 2, 2, 3, 4, 0, 4, 4, 0, 0, 4, 4, 1, 1, 4, 1, 0, 1, 0, 2, 1, 2, 0, 2, 4, 0, 2, 1, 4, 4, 1, 3, 2, 2, 1, 1, 2, 4, 0, 0, 0, 0, 4, 4, 2, 4, 1, 4, 3, 1, 2, 2, 0, 1, 0, 2, 1, 0, 3, 2, 1, 4, 3, 1, 0, 1, 1, 3, 0, 0, 2, 1, 0, 4, 2, 4, 0, 1, 1, 0, 0, 4, 1, 2, 4, 4, 1, 4, 3, 2, 0, 1, 4, 2, 0, 2, 0, 1, 2, 3, 4, 1, 1, 2, 0, 3, 1, 4, 1, 4, 4, 4, 2, 1, 4, 1, 0, 0, 3, 1, 3, 3, 3, 4, 3, 3, 4, 2, 1, 2, 4, 4, 1, 3, 3, 0, 2, 2, 2, 4, 3, 1, 2, 1, 1, 3, 4, 3, 1, 0, 0, 3, 1, 2, 1, 4, 2, 2, 3, 2, 3, 2, 3, 4, 0, 0, 1, 2, 4, 4, 4, 1, 0, 4, 2, 1, 0, 2, 1, 0, 1, 4, 0, 3, 0, 1, 4, 1, 4, 3, 3, 4, 3, 4, 1, 0, 0, 0, 2, 0, 3, 2, 1, 0, 4, 1, 4, 1, 3, 3, 0, 3, 3, 2, 1, 2, 0, 1, 0, 2, 0, 0, 3, 0, 4, 0, 3, 0, 1, 0, 1, 3, 4, 4, 1, 3, 2, 0, 3, 4, 4, 1, 0, 1, 2, 2, 3, 4, 2, 4, 3, 3, 1, 4, 1, 0, 0, 2, 0, 4, 0, 0, 3, 3, 1, 0, 4, 0, 3, 4, 2, 0, 4, 1, 1, 1, 2, 1, 3, 2, 0, 4, 2, 0, 2, 4, 3, 1, 3, 3, 4, 1, 2, 2, 0, 0, 1, 0, 3, 2, 1, 1, 0, 2, 3, 1, 3, 0, 3, 0, 1, 3, 3, 1, 3, 2, 4, 4, 4, 1]
pubkeycol911 = [1, 0, 0, 4, 3, 1, 0, 1, 2, 0, 1, 1, 0, 1, 3, 0, 4, 2, 1, 4, 0, 4, 2, 2, 2, 4, 4, 0, 0, 0, 1, 3, 1, 1, 4, 3, 3, 4, 4, 1, 2, 4, 0, 1, 2, 1, 3, 4, 2, 0, 0, 3, 0, 4, 0, 4, 3, 4, 1, 3, 2, 3, 3, 2, 0, 3, 0, 1, 4, 1, 1, 1, 4, 4, 0, 0, 0, 2, 4, 2, 0, 1, 2, 2, 3, 4, 2, 3, 1, 0, 0, 2, 2, 2, 1, 1, 4, 3, 0, 1, 1, 1, 0, 4, 4, 2, 2, 3, 4, 3, 4, 3, 4, 0, 0, 0, 2, 4, 4, 4, 4, 1, 1, 0, 4, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 3, 3, 3, 4, 2, 4, 1, 3, 3, 0, 3, 0, 3, 1, 4, 4, 0, 4, 2, 4, 0, 2, 0, 2, 0, 2, 3, 0, 1, 0, 4, 0, 0, 3, 0, 1, 2, 1, 0, 3, 3, 0, 4, 2, 0, 3, 4, 3, 3, 0, 1, 0, 1, 3, 2, 0, 4, 0, 0, 0, 3, 4, 0, 0, 2, 2, 4, 0, 2, 2, 4, 2, 0, 3, 4, 1, 2, 1, 1, 2, 1, 0, 3, 0, 1, 4, 1, 3, 2, 2, 4, 4, 2, 1, 2, 3, 3, 4, 4, 0, 0, 1, 3, 0, 2, 3, 1, 2, 1, 4, 4, 4, 3, 4, 4, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 1, 1, 0, 0, 1, 0, 1, 3, 2, 0, 2, 2, 3, 1, 3, 1, 2, 1, 4, 2, 4, 2, 1, 0, 2, 0, 2, 0, 0, 2, 4, 2, 1, 4, 0, 2, 1, 0, 1, 0, 3, 1, 3, 2, 3, 2, 1, 3, 2, 0, 3, 2, 2, 4, 1, 2, 0, 0, 1, 1, 4, 1, 2, 2, 0, 1, 2, 4, 1, 2, 1, 0, 1, 1, 2, 3, 4, 4, 4, 3, 3, 4, 2, 4, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 4, 2, 3, 1, 0, 3, 4, 4, 0, 0, 3, 4, 3, 1, 0, 0, 4, 4, 2, 4, 0, 3, 1, 1, 4, 4, 0, 4, 4, 1, 1, 0, 2, 2, 4, 2, 3, 2, 3, 4, 0, 4, 1, 3, 3, 3]
pubkeycol912 = [4, 0, 0, 3, 0, 0, 2, 2, 2, 4, 3, 3, 2, 1, 3, 4, 2, 2, 2, 1, 4, 4, 2, 3, 2, 0, 0, 4, 2, 0, 0, 4, 4, 4, 2, 3, 1, 2, 2, 2, 0, 3, 2, 0, 3, 2, 0, 3, 0, 4, 0, 4, 3, 3, 1, 1, 1, 2, 3, 2, 3, 1, 3, 0, 1, 3, 1, 3, 4, 2, 2, 1, 4, 2, 1, 1, 0, 4, 4, 3, 1, 4, 0, 1, 1, 0, 1, 2, 3, 4, 0, 2, 0, 3, 4, 2, 4, 4, 0, 1, 4, 0, 0, 4, 0, 4, 3, 1, 1, 2, 2, 2, 3, 3, 0, 3, 1, 0, 0, 0, 1, 2, 4, 1, 4, 4, 0, 4, 0, 0, 4, 3, 0, 4, 3, 0, 0, 1, 1, 2, 3, 4, 4, 0, 3, 0, 1, 1, 3, 1, 1, 1, 4, 3, 4, 0, 3, 0, 4, 3, 4, 0, 3, 1, 1, 3, 0, 4, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 3, 2, 3, 1, 0, 2, 4, 0, 4, 4, 0, 1, 4, 2, 0, 3, 2, 3, 0, 1, 2, 1, 1, 0, 2, 0, 3, 4, 0, 2, 0, 0, 0, 4, 4, 2, 3, 0, 0, 3, 1, 2, 0, 1, 0, 1, 2, 2, 1, 4, 1, 0, 2, 2, 1, 1, 1, 1, 4, 1, 0, 2, 4, 4, 1, 1, 2, 2, 2, 2, 2, 3, 1, 3, 1, 1, 3, 4, 2, 4, 0, 1, 4, 2, 3, 1, 1, 4, 4, 1, 3, 4, 3, 1, 0, 1, 3, 0, 0, 2, 2, 3, 0, 2, 2, 2, 0, 0, 2, 4, 1, 3, 1, 3, 0, 1, 4, 2, 2, 3, 1, 1, 2, 1, 4, 4, 4, 3, 0, 2, 2, 4, 1, 2, 0, 0, 3, 2, 2, 1, 2, 4, 0, 3, 4, 4, 3, 3, 4, 3, 0, 4, 4, 2, 4, 0, 3, 2, 4, 4, 4, 3, 0, 0, 1, 3, 4, 4, 1, 4, 3, 4, 0, 2, 4, 0, 3, 0, 3, 4, 2, 1, 0, 4, 2, 1, 2, 2, 3, 1, 0, 3, 2, 4, 0, 4, 0, 2, 0, 0, 4, 1, 2, 4, 3, 2, 2, 2, 3, 3, 0, 3, 1, 4, 3, 3, 0, 3, 3, 1, 3, 3]
pubkeycol913 = [2, 1, 1, 2, 1, 3, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 4, 1, 0, 4, 1, 4, 4, 2, 3, 3, 1, 1, 2, 2, 2, 4, 2, 0, 3, 1, 1, 4, 4, 0, 3, 3, 3, 2, 4, 2, 0, 4, 1, 0, 4, 4, 4, 4, 0, 3, 0, 2, 3, 2, 4, 2, 3, 0, 0, 3, 0, 1, 0, 3, 1, 0, 3, 1, 2, 2, 2, 4, 4, 0, 4, 3, 3, 0, 2, 4, 3, 1, 0, 3, 4, 2, 0, 2, 2, 2, 2, 4, 1, 4, 2, 3, 2, 0, 0, 4, 3, 3, 0, 2, 0, 1, 3, 2, 4, 1, 4, 2, 4, 3, 0, 1, 3, 2, 1, 3, 4, 0, 1, 1, 4, 3, 2, 0, 1, 3, 3, 0, 0, 4, 3, 4, 3, 0, 3, 1, 1, 3, 3, 3, 0, 0, 2, 2, 3, 0, 3, 1, 3, 4, 1, 2, 0, 2, 0, 4, 4, 1, 0, 0, 1, 4, 4, 0, 4, 0, 0, 4, 0, 0, 2, 1, 4, 0, 4, 2, 4, 2, 0, 2, 3, 1, 4, 2, 3, 2, 4, 2, 0, 3, 0, 4, 4, 2, 1, 0, 2, 0, 1, 4, 2, 0, 4, 4, 1, 3, 3, 0, 0, 4, 2, 2, 3, 4, 3, 4, 0, 4, 2, 1, 1, 3, 1, 0, 2, 0, 4, 4, 0, 2, 1, 1, 3, 0, 4, 1, 2, 3, 0, 4, 0, 0, 2, 4, 3, 0, 3, 1, 0, 4, 1, 0, 1, 4, 0, 0, 1, 4, 1, 0, 0, 2, 2, 3, 1, 1, 4, 1, 3, 2, 0, 3, 2, 0, 1, 1, 3, 1, 1, 4, 2, 0, 0, 3, 4, 4, 1, 3, 1, 4, 1, 4, 2, 0, 1, 2, 2, 2, 3, 1, 0, 1, 4, 2, 1, 1, 4, 3, 4, 1, 4, 0, 3, 3, 1, 3, 0, 1, 3, 3, 3, 1, 1, 1, 4, 1, 3, 1, 2, 1, 4, 0, 0, 3, 3, 1, 2, 3, 1, 3, 4, 3, 0, 2, 0, 3, 3, 0, 0, 3, 1, 1, 0, 2, 4, 3, 4, 0, 2, 1, 2, 2, 1, 2, 1, 3, 2, 1, 3, 3, 3, 0, 3, 1, 2, 3, 0, 3, 2, 4, 3, 4, 4, 4, 3, 0, 1, 4, 1]
pubkeycol914 = [3, 2, 4, 0, 1, 3, 2, 4, 0, 0, 3, 0, 0, 1, 3, 2, 3, 1, 1, 2, 1, 3, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 2, 1, 0, 0, 3, 1, 1, 3, 0, 1, 1, 0, 2, 2, 0, 1, 0, 3, 4, 3, 3, 0, 4, 2, 3, 1, 4, 2, 0, 0, 3, 0, 4, 0, 0, 0, 0, 2, 0, 1, 4, 4, 3, 2, 4, 3, 3, 0, 1, 3, 1, 3, 3, 1, 4, 1, 4, 4, 2, 0, 3, 2, 1, 2, 2, 0, 2, 4, 1, 4, 4, 2, 1, 2, 2, 0, 3, 2, 0, 2, 2, 3, 4, 4, 2, 4, 2, 3, 4, 2, 4, 0, 1, 0, 0, 2, 2, 3, 4, 1, 3, 2, 0, 1, 2, 3, 0, 2, 1, 4, 4, 3, 1, 2, 4, 3, 0, 1, 4, 2, 0, 1, 3, 3, 0, 3, 3, 2, 1, 1, 2, 2, 1, 3, 3, 2, 2, 2, 0, 2, 2, 1, 1, 4, 0, 0, 0, 1, 4, 3, 4, 1, 2, 3, 3, 0, 2, 3, 3, 2, 0, 2, 4, 3, 3, 4, 2, 3, 0, 1, 2, 1, 4, 3, 2, 2, 4, 1, 0, 3, 3, 3, 0, 0, 1, 4, 1, 3, 1, 3, 2, 3, 4, 0, 0, 0, 4, 3, 0, 0, 1, 3, 2, 3, 1, 0, 0, 0, 4, 1, 4, 4, 0, 2, 2, 0, 1, 0, 3, 0, 2, 2, 0, 3, 0, 0, 2, 0, 4, 3, 0, 1, 0, 3, 3, 1, 2, 2, 0, 3, 1, 1, 4, 1, 0, 4, 2, 1, 2, 4, 4, 0, 4, 1, 2, 2, 2, 3, 2, 0, 4, 3, 4, 3, 3, 1, 1, 2, 2, 1, 3, 2, 2, 0, 4, 1, 1, 2, 0, 3, 4, 2, 0, 0, 0, 2, 0, 2, 4, 0, 1, 4, 3, 2, 3, 1, 1, 4, 2, 3, 1, 2, 4, 1, 4, 4, 1, 2, 1, 1, 3, 0, 1, 0, 1, 2, 1, 2, 3, 3, 0, 4, 3, 4, 0, 4, 0, 1, 1, 4, 1, 2, 4, 4, 1, 2, 3, 0, 3, 2, 3, 4, 4, 1, 4, 3, 4, 4, 2, 3, 2, 1, 1, 3, 2, 4, 1, 0, 4, 1, 4, 1, 2, 2, 3, 4, 0, 4]
pubkeycol915 = [1, 3, 4, 1, 4, 4, 2, 0, 2, 4, 0, 4, 2, 3, 1, 1, 4, 3, 3, 0, 0, 3, 3, 1, 2, 2, 0, 2, 3, 2, 2, 2, 3, 3, 0, 3, 4, 1, 3, 4, 2, 4, 0, 1, 0, 1, 3, 3, 4, 2, 2, 4, 0, 4, 1, 2, 1, 4, 4, 1, 0, 1, 2, 4, 0, 4, 4, 0, 4, 3, 3, 1, 0, 3, 1, 3, 0, 1, 4, 1, 3, 0, 0, 1, 2, 1, 2, 3, 1, 1, 4, 1, 3, 4, 0, 3, 0, 4, 2, 2, 0, 1, 4, 2, 2, 2, 3, 0, 1, 1, 2, 4, 1, 4, 0, 3, 4, 4, 1, 4, 0, 0, 0, 1, 3, 0, 1, 1, 0, 3, 2, 2, 3, 4, 0, 2, 1, 3, 3, 2, 2, 0, 1, 4, 4, 3, 1, 2, 2, 4, 3, 3, 0, 0, 4, 2, 4, 3, 2, 0, 0, 3, 0, 0, 1, 4, 4, 4, 3, 1, 2, 0, 2, 0, 0, 4, 0, 3, 2, 0, 2, 0, 0, 1, 2, 0, 1, 3, 0, 3, 3, 0, 4, 3, 4, 2, 3, 1, 3, 2, 0, 3, 1, 4, 4, 3, 3, 3, 2, 1, 2, 1, 3, 1, 1, 3, 3, 1, 2, 1, 2, 2, 1, 4, 1, 2, 3, 3, 2, 1, 2, 0, 4, 3, 2, 1, 2, 2, 0, 2, 4, 0, 4, 1, 0, 3, 2, 4, 3, 0, 3, 4, 0, 0, 4, 3, 3, 4, 2, 1, 1, 2, 3, 0, 3, 4, 0, 3, 0, 2, 2, 4, 2, 3, 0, 0, 4, 3, 1, 0, 1, 4, 2, 1, 1, 3, 1, 3, 2, 4, 0, 3, 3, 3, 1, 4, 3, 0, 1, 3, 3, 3, 4, 0, 4, 2, 3, 1, 2, 4, 1, 2, 2, 2, 2, 4, 0, 3, 2, 0, 2, 1, 4, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 4, 2, 0, 3, 4, 1, 1, 0, 3, 0, 3, 2, 0, 0, 3, 2, 2, 1, 3, 4, 0, 3, 3, 4, 2, 2, 4, 3, 2, 2, 1, 0, 1, 2, 2, 2, 0, 4, 3, 0, 0, 2, 3, 2, 4, 0, 4, 0, 4, 4, 4, 2, 3, 1, 0, 4, 4, 4, 0, 3, 0, 0, 4, 4, 0, 3, 2]
pubkeycol916 = [4, 1, 4, 3, 1, 3, 4, 1, 3, 4, 4, 0, 0, 3, 4, 3, 3, 0, 0, 0, 4, 2, 4, 2, 0, 3, 1, 2, 1, 0, 3, 4, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 3, 4, 0, 4, 2, 3, 1, 2, 4, 0, 1, 4, 0, 3, 2, 4, 3, 2, 1, 1, 3, 0, 3, 2, 1, 4, 3, 4, 3, 1, 2, 3, 1, 2, 0, 1, 0, 3, 0, 0, 4, 1, 2, 1, 1, 1, 2, 3, 1, 4, 2, 0, 0, 4, 4, 3, 0, 4, 1, 3, 0, 4, 1, 4, 2, 4, 4, 0, 3, 3, 0, 0, 2, 1, 4, 1, 2, 4, 0, 4, 0, 1, 4, 1, 4, 1, 1, 2, 1, 0, 4, 0, 0, 3, 4, 4, 2, 0, 0, 4, 0, 2, 2, 3, 1, 3, 4, 2, 0, 3, 2, 3, 0, 2, 4, 4, 3, 2, 4, 0, 4, 4, 4, 4, 4, 1, 1, 4, 4, 2, 4, 1, 2, 2, 3, 1, 0, 0, 4, 1, 2, 3, 4, 2, 2, 0, 4, 0, 1, 3, 4, 0, 0, 1, 1, 3, 0, 2, 0, 0, 1, 0, 2, 4, 1, 4, 1, 4, 4, 0, 3, 1, 1, 1, 3, 0, 4, 3, 4, 2, 3, 0, 4, 2, 3, 1, 4, 1, 2, 3, 3, 3, 0, 3, 2, 1, 2, 4, 0, 2, 4, 3, 3, 4, 3, 3, 0, 2, 1, 0, 3, 2, 4, 0, 3, 1, 0, 0, 4, 2, 1, 0, 0, 4, 3, 0, 3, 3, 1, 0, 3, 1, 4, 4, 2, 2, 1, 1, 3, 1, 4, 3, 4, 0, 2, 1, 3, 1, 0, 4, 2, 4, 4, 1, 1, 2, 3, 2, 1, 3, 0, 4, 1, 0, 1, 2, 3, 1, 2, 0, 1, 3, 4, 0, 0, 3, 2, 0, 3, 2, 0, 2, 2, 0, 2, 4, 4, 1, 2, 2, 3, 2, 2, 2, 0, 0, 4, 2, 3, 2, 4, 1, 2, 1, 0, 2, 3, 3, 2, 3, 4, 2, 0, 2, 0, 4, 0, 2, 0, 0, 3, 3, 2, 1, 1, 2, 1, 4, 4, 4, 1, 0, 0, 4, 4, 3, 0, 3, 1, 0, 4, 1, 0, 1, 3, 3, 4, 1, 0, 0, 4, 3, 1, 3]
pubkeycol917 = [0, 1, 1, 3, 4, 0, 1, 0, 3, 4, 4, 0, 2, 4, 2, 4, 2, 4, 1, 4, 4, 4, 2, 2, 0, 1, 4, 1, 3, 4, 2, 4, 4, 1, 0, 0, 3, 2, 4, 4, 3, 1, 4, 0, 4, 1, 0, 0, 3, 4, 4, 1, 0, 2, 2, 4, 4, 3, 4, 4, 4, 4, 0, 3, 1, 4, 2, 0, 4, 2, 3, 1, 0, 3, 3, 3, 0, 2, 1, 0, 2, 1, 2, 3, 1, 1, 2, 3, 3, 0, 4, 3, 0, 1, 4, 1, 2, 0, 4, 4, 0, 4, 4, 2, 2, 3, 4, 2, 4, 3, 0, 3, 0, 0, 4, 2, 0, 2, 0, 0, 4, 0, 1, 1, 2, 1, 3, 1, 1, 1, 3, 3, 4, 3, 4, 4, 0, 1, 0, 1, 0, 2, 1, 2, 3, 2, 0, 1, 2, 2, 0, 4, 2, 0, 3, 3, 0, 0, 3, 3, 4, 4, 4, 4, 2, 3, 3, 2, 0, 1, 0, 0, 4, 1, 2, 0, 3, 0, 4, 4, 1, 3, 0, 2, 4, 4, 0, 0, 3, 1, 1, 0, 1, 1, 3, 1, 0, 4, 0, 1, 4, 4, 1, 2, 3, 1, 3, 2, 2, 0, 2, 0, 1, 2, 4, 3, 1, 3, 3, 2, 4, 4, 1, 0, 3, 1, 3, 0, 0, 2, 3, 3, 4, 2, 2, 1, 3, 2, 0, 1, 1, 0, 1, 1, 2, 3, 4, 2, 0, 1, 3, 2, 3, 4, 4, 2, 2, 3, 1, 1, 1, 1, 2, 4, 0, 4, 0, 4, 0, 0, 3, 1, 0, 3, 2, 2, 0, 2, 4, 3, 2, 4, 4, 4, 2, 0, 4, 3, 4, 3, 3, 1, 3, 4, 0, 1, 1, 0, 2, 3, 1, 4, 0, 2, 4, 1, 3, 3, 3, 0, 3, 3, 0, 4, 1, 4, 1, 3, 3, 4, 2, 4, 0, 4, 3, 3, 0, 2, 3, 4, 1, 4, 0, 1, 1, 1, 3, 0, 4, 3, 0, 0, 4, 3, 4, 1, 1, 1, 4, 0, 3, 3, 4, 0, 0, 4, 3, 4, 2, 0, 0, 4, 3, 3, 2, 4, 2, 2, 0, 3, 3, 2, 1, 4, 1, 0, 3, 1, 3, 1, 0, 1, 1, 4, 2, 1, 1, 0, 3, 0, 0, 0, 1, 4, 4, 2, 4, 4, 3, 4]
pubkeycol918 = [3, 3, 1, 3, 3, 1, 0, 0, 0, 3, 4, 3, 0, 2, 0, 0, 1, 0, 2, 4, 1, 2, 0, 1, 2, 3, 2, 0, 2, 2, 3, 4, 4, 0, 2, 0, 4, 3, 1, 1, 0, 2, 1, 2, 4, 4, 1, 2, 2, 0, 2, 3, 2, 4, 2, 1, 4, 0, 0, 1, 1, 3, 2, 0, 1, 0, 2, 2, 4, 2, 3, 4, 3, 2, 4, 4, 0, 1, 2, 1, 1, 4, 0, 0, 2, 3, 4, 1, 2, 3, 2, 4, 0, 0, 0, 1, 3, 3, 2, 0, 3, 4, 3, 1, 3, 3, 1, 4, 1, 2, 1, 3, 2, 4, 3, 0, 4, 0, 4, 4, 0, 3, 4, 3, 4, 3, 4, 1, 4, 2, 3, 1, 2, 0, 1, 3, 0, 4, 1, 3, 3, 0, 0, 0, 3, 3, 3, 1, 3, 4, 1, 0, 2, 4, 4, 3, 1, 0, 2, 2, 2, 1, 3, 2, 1, 4, 3, 0, 2, 4, 0, 1, 1, 1, 4, 3, 1, 4, 2, 1, 2, 0, 1, 2, 0, 3, 0, 3, 3, 0, 1, 0, 2, 3, 1, 2, 1, 2, 4, 3, 0, 4, 0, 0, 3, 0, 4, 1, 4, 4, 0, 4, 1, 0, 4, 3, 0, 2, 0, 1, 2, 4, 0, 4, 1, 2, 3, 3, 2, 3, 1, 4, 4, 1, 0, 2, 2, 4, 3, 1, 4, 0, 4, 3, 4, 3, 0, 4, 1, 2, 2, 3, 3, 4, 4, 0, 0, 3, 4, 0, 4, 2, 1, 0, 2, 3, 2, 3, 3, 1, 3, 2, 1, 3, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 4, 4, 4, 3, 1, 1, 2, 3, 4, 4, 2, 0, 4, 3, 0, 1, 1, 1, 3, 4, 1, 4, 0, 1, 3, 2, 2, 4, 0, 1, 3, 0, 1, 2, 0, 2, 3, 2, 3, 1, 1, 4, 3, 3, 2, 4, 1, 1, 4, 1, 3, 4, 1, 4, 0, 3, 3, 4, 0, 0, 1, 4, 4, 0, 4, 1, 2, 0, 4, 4, 0, 1, 0, 1, 0, 3, 4, 0, 2, 0, 4, 4, 4, 0, 2, 2, 1, 1, 2, 1, 2, 4, 2, 2, 1, 0, 2, 3, 1, 4, 0, 3, 2, 1, 4, 2, 0, 1, 2, 0, 3, 3]
pubkeycol919 = [3, 3, 4, 2, 3, 2, 2, 2, 2, 2, 1, 4, 4, 4, 3, 0, 4, 2, 0, 1, 3, 2, 3, 3, 4, 0, 3, 3, 4, 1, 2, 0, 1, 3, 1, 2, 3, 3, 3, 1, 3, 2, 0, 2, 3, 2, 1, 4, 4, 4, 0, 0, 4, 3, 4, 1, 1, 1, 2, 1, 3, 0, 1, 1, 1, 0, 2, 4, 1, 3, 2, 2, 3, 4, 1, 0, 1, 4, 2, 1, 0, 0, 2, 3, 4, 3, 2, 3, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 3, 1, 4, 4, 0, 4, 3, 2, 0, 1, 2, 4, 1, 4, 0, 4, 3, 2, 0, 3, 2, 3, 0, 2, 3, 0, 0, 4, 3, 1, 0, 0, 3, 3, 1, 1, 3, 3, 2, 0, 3, 3, 0, 4, 2, 3, 4, 2, 4, 2, 2, 3, 0, 3, 4, 2, 3, 2, 1, 3, 4, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 0, 4, 1, 2, 4, 2, 0, 4, 1, 4, 2, 1, 0, 0, 3, 2, 4, 2, 2, 2, 0, 0, 4, 3, 4, 2, 4, 1, 4, 0, 0, 2, 1, 0, 2, 1, 1, 4, 1, 3, 3, 1, 1, 4, 3, 2, 2, 2, 4, 1, 4, 1, 1, 2, 2, 4, 2, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 1, 2, 4, 0, 3, 3, 0, 0, 1, 1, 0, 1, 0, 3, 2, 1, 4, 2, 1, 0, 4, 4, 4, 2, 0, 2, 3, 4, 4, 3, 0, 3, 0, 4, 1, 0, 3, 0, 3, 2, 0, 1, 0, 1, 1, 0, 4, 3, 3, 2, 1, 3, 2, 3, 2, 2, 1, 2, 0, 0, 4, 3, 4, 1, 4, 1, 0, 3, 0, 0, 3, 4, 0, 4, 0, 1, 1, 1, 3, 2, 2, 3, 1, 1, 1, 0, 4, 4, 4, 0, 4, 1, 3, 3, 1, 0, 2, 2, 0, 0, 1, 4, 4, 4, 0, 0, 0, 3, 1, 0, 0, 2, 3, 4, 2, 0, 1, 2, 4, 3, 3, 2, 0, 4, 4, 0, 2, 3, 2, 0, 4, 4, 1, 2, 2, 0, 3, 0, 0, 1, 3, 2, 4, 3, 0, 0, 0, 3, 0, 1, 1, 4, 1, 1, 0, 4]
pubkeycol920 = [0, 0, 4, 3, 1, 2, 4, 4, 4, 1, 2, 3, 3, 4, 0, 1, 1, 0, 2, 2, 1, 0, 0, 3, 0, 4, 1, 2, 3, 3, 2, 2, 1, 4, 3, 0, 4, 4, 2, 4, 2, 0, 3, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 3, 0, 0, 4, 1, 3, 0, 2, 0, 1, 0, 4, 0, 2, 2, 4, 1, 0, 0, 4, 0, 3, 3, 4, 2, 2, 1, 0, 4, 2, 0, 4, 1, 3, 4, 3, 2, 2, 4, 0, 3, 2, 0, 4, 3, 1, 2, 2, 3, 0, 0, 2, 0, 2, 1, 1, 4, 4, 0, 1, 4, 0, 2, 1, 4, 1, 0, 1, 0, 3, 1, 1, 3, 0, 3, 2, 3, 2, 4, 2, 2, 1, 3, 2, 3, 0, 2, 0, 3, 4, 3, 2, 3, 3, 2, 0, 0, 1, 2, 4, 4, 0, 3, 0, 4, 2, 3, 4, 3, 4, 0, 2, 3, 0, 0, 1, 3, 4, 0, 1, 4, 3, 2, 0, 3, 1, 3, 0, 2, 1, 4, 1, 1, 0, 1, 4, 3, 4, 0, 4, 1, 3, 1, 4, 3, 0, 4, 3, 0, 2, 3, 0, 0, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 1, 3, 2, 2, 1, 4, 0, 2, 2, 3, 0, 0, 0, 4, 3, 1, 0, 0, 1, 1, 0, 3, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 2, 0, 3, 3, 3, 0, 4, 0, 0, 4, 2, 1, 4, 0, 2, 2, 0, 4, 0, 4, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 4, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 4, 4, 0, 1, 4, 1, 4, 3, 3, 2, 0, 0, 4, 3, 3, 3, 1, 2, 2, 1, 3, 1, 2, 1, 3, 0, 0, 3, 1, 0, 0, 1, 1, 3, 1, 3, 4, 2, 2, 1, 0, 2, 2, 0, 0, 3, 1, 1, 0, 3, 1, 4, 0, 4, 2, 2, 4, 2, 1, 0, 0, 4, 4, 4, 1, 0, 4, 1, 4, 1, 1, 4, 0, 1, 2, 4, 3, 3, 2, 1, 3, 0, 2, 2, 2, 4, 3, 3, 0, 0, 0, 0, 1, 4, 2, 1, 0, 4]
pubkeycol921 = [2, 3, 1, 1, 0, 1, 3, 1, 1, 4, 0, 0, 4, 0, 1, 3, 2, 2, 3, 2, 4, 3, 0, 3, 0, 1, 4, 2, 3, 0, 3, 0, 3, 2, 4, 4, 0, 1, 0, 4, 3, 4, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 3, 4, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 3, 3, 3, 0, 2, 0, 0, 2, 0, 1, 4, 0, 2, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 3, 4, 2, 1, 0, 3, 1, 2, 2, 4, 4, 1, 1, 3, 3, 3, 4, 3, 1, 3, 3, 0, 3, 2, 4, 4, 3, 3, 4, 0, 3, 4, 1, 0, 2, 0, 0, 0, 4, 4, 0, 0, 2, 4, 0, 2, 1, 3, 4, 4, 0, 0, 0, 4, 4, 1, 3, 3, 2, 0, 3, 0, 3, 0, 2, 0, 0, 3, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 3, 4, 2, 0, 0, 3, 1, 2, 1, 3, 3, 0, 4, 4, 4, 3, 0, 3, 0, 3, 3, 1, 3, 3, 2, 2, 1, 3, 2, 0, 0, 1, 1, 3, 2, 1, 3, 4, 2, 4, 3, 0, 1, 1, 4, 0, 1, 4, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 3, 2, 3, 0, 4, 2, 0, 3, 2, 4, 0, 4, 0, 1, 2, 4, 4, 3, 4, 3, 2, 0, 4, 0, 1, 2, 2, 3, 1, 4, 3, 4, 2, 2, 2, 4, 0, 2, 2, 0, 3, 0, 4, 2, 2, 3, 0, 3, 0, 2, 0, 0, 3, 0, 1, 4, 2, 0, 4, 2, 0, 1, 1, 0, 0, 4, 0, 2, 1, 3, 0, 4, 2, 2, 0, 3, 4, 2, 3, 4, 0, 0, 4, 2, 3, 1, 2, 2, 1, 4, 4, 2, 4, 2, 3, 0, 1, 3, 0, 1, 4, 2, 4, 0, 2, 0, 1, 4, 3, 2, 3, 1, 0, 3, 2, 4, 3, 0, 2, 0, 3, 1, 0, 2, 3, 1, 4, 2, 4, 2, 2, 0, 0, 3, 0, 1, 3, 2, 3, 3, 0, 2, 4, 2, 0, 4, 3, 2, 1, 4, 1, 0, 0, 3, 4, 1, 4, 1]
pubkeycol922 = [0, 3, 4, 2, 3, 4, 1, 2, 0, 2, 4, 0, 2, 2, 4, 2, 3, 1, 2, 4, 3, 2, 4, 4, 4, 3, 3, 3, 3, 0, 3, 3, 3, 3, 1, 2, 1, 2, 0, 4, 4, 3, 0, 4, 3, 1, 4, 2, 0, 0, 0, 2, 0, 0, 3, 1, 2, 1, 2, 3, 2, 3, 1, 0, 1, 2, 3, 2, 4, 2, 2, 2, 3, 2, 3, 0, 4, 3, 2, 0, 1, 4, 3, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 3, 3, 3, 2, 0, 1, 2, 2, 4, 4, 0, 0, 3, 4, 1, 1, 3, 4, 2, 1, 0, 0, 4, 2, 4, 2, 3, 0, 3, 4, 4, 2, 1, 0, 3, 2, 4, 2, 0, 2, 0, 0, 4, 1, 3, 4, 1, 1, 0, 0, 3, 3, 4, 3, 3, 4, 4, 3, 4, 2, 3, 1, 4, 4, 4, 0, 4, 1, 0, 0, 3, 4, 3, 0, 3, 0, 3, 0, 1, 1, 0, 3, 2, 4, 4, 3, 0, 1, 4, 0, 4, 2, 3, 2, 2, 0, 1, 2, 2, 0, 3, 1, 1, 4, 2, 1, 0, 4, 3, 0, 3, 1, 3, 0, 3, 2, 1, 3, 3, 1, 0, 0, 2, 2, 0, 4, 3, 3, 0, 0, 2, 0, 0, 1, 1, 2, 0, 3, 3, 0, 0, 3, 4, 0, 4, 4, 0, 1, 4, 2, 2, 1, 4, 3, 1, 0, 0, 1, 3, 4, 3, 3, 4, 0, 0, 0, 0, 3, 1, 2, 1, 2, 1, 4, 1, 4, 0, 2, 1, 4, 4, 1, 1, 3, 3, 1, 1, 3, 1, 3, 1, 3, 1, 1, 3, 3, 1, 3, 0, 1, 3, 4, 2, 0, 4, 1, 2, 0, 2, 4, 3, 2, 4, 3, 0, 2, 3, 2, 2, 3, 1, 2, 0, 1, 4, 2, 3, 1, 0, 3, 4, 0, 3, 3, 2, 4, 3, 0, 2, 0, 4, 2, 2, 1, 1, 0, 3, 3, 1, 1, 2, 2, 2, 2, 0, 3, 2, 1, 2, 4, 4, 0, 1, 1, 4, 4, 0, 4, 4, 4, 2, 4, 2, 1, 1, 4, 2, 1, 4, 2, 3, 3, 2, 1, 4, 3, 0, 0, 0, 0, 3, 2, 4, 1, 3, 3, 0, 3, 3, 2, 4, 4, 1, 1, 2, 1, 0]
pubkeycol923 = [4, 1, 2, 1, 3, 3, 4, 4, 0, 0, 3, 3, 2, 4, 0, 0, 2, 2, 3, 1, 4, 1, 1, 3, 2, 1, 2, 0, 0, 0, 0, 2, 3, 0, 3, 1, 4, 0, 1, 4, 4, 2, 4, 3, 1, 3, 1, 1, 2, 3, 3, 4, 2, 4, 4, 1, 1, 3, 0, 3, 2, 4, 2, 1, 1, 1, 4, 4, 0, 0, 1, 2, 4, 4, 2, 4, 0, 4, 4, 0, 4, 3, 1, 1, 1, 1, 2, 4, 0, 1, 1, 0, 2, 0, 1, 1, 1, 4, 2, 0, 1, 3, 4, 3, 0, 1, 4, 0, 4, 0, 3, 2, 1, 1, 0, 3, 3, 3, 3, 0, 0, 2, 4, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 4, 0, 0, 2, 4, 0, 3, 0, 3, 4, 3, 1, 1, 4, 4, 3, 2, 3, 2, 1, 2, 1, 4, 3, 3, 3, 3, 3, 2, 3, 3, 3, 4, 1, 3, 2, 3, 1, 3, 2, 0, 0, 2, 0, 0, 2, 2, 3, 4, 4, 4, 1, 2, 3, 1, 2, 4, 4, 1, 3, 1, 3, 2, 0, 1, 0, 1, 4, 0, 0, 1, 0, 3, 3, 4, 4, 4, 0, 3, 2, 3, 4, 0, 2, 0, 4, 3, 2, 3, 1, 1, 4, 4, 3, 4, 2, 0, 2, 3, 4, 0, 1, 4, 2, 2, 0, 3, 4, 2, 1, 3, 1, 3, 0, 4, 3, 0, 2, 2, 2, 3, 2, 0, 3, 4, 0, 0, 0, 4, 0, 0, 4, 3, 0, 3, 2, 3, 2, 4, 3, 0, 0, 1, 2, 3, 2, 0, 1, 3, 2, 4, 1, 1, 4, 0, 4, 2, 1, 2, 0, 4, 4, 2, 3, 4, 3, 4, 1, 0, 4, 3, 2, 2, 4, 4, 3, 2, 3, 4, 3, 3, 0, 1, 1, 4, 2, 2, 2, 1, 0, 0, 0, 3, 0, 0, 0, 3, 2, 3, 3, 2, 4, 3, 2, 2, 4, 0, 0, 3, 2, 3, 2, 3, 0, 3, 2, 3, 1, 0, 2, 3, 0, 1, 1, 3, 0, 0, 2, 2, 4, 4, 0, 2, 3, 3, 4, 3, 3, 3, 3, 4, 3, 1, 2, 3, 2, 2, 4, 1, 3, 3, 2, 3, 2, 3, 4, 1, 3, 3, 1, 4, 1, 1, 3, 3, 2]
pubkeycol924 = [4, 0, 4, 4, 1, 2, 3, 0, 3, 2, 4, 4, 0, 3, 3, 3, 3, 3, 2, 4, 1, 2, 0, 2, 1, 4, 3, 2, 1, 3, 1, 4, 4, 4, 0, 4, 0, 0, 3, 2, 1, 2, 0, 0, 4, 1, 4, 0, 0, 4, 0, 4, 3, 0, 0, 3, 4, 3, 3, 4, 1, 1, 3, 4, 1, 2, 4, 3, 0, 1, 1, 3, 3, 4, 2, 2, 4, 4, 0, 4, 1, 1, 0, 2, 2, 4, 1, 0, 2, 4, 4, 3, 2, 0, 1, 1, 0, 3, 0, 0, 0, 4, 2, 1, 3, 1, 1, 0, 2, 2, 4, 1, 4, 2, 3, 3, 0, 4, 2, 1, 3, 4, 3, 3, 1, 4, 1, 2, 3, 0, 0, 3, 3, 0, 3, 2, 2, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 0, 0, 4, 4, 3, 4, 1, 1, 0, 3, 3, 1, 1, 1, 1, 0, 2, 1, 0, 4, 4, 3, 3, 1, 0, 1, 1, 0, 0, 3, 3, 4, 3, 4, 1, 4, 2, 3, 1, 4, 0, 0, 2, 1, 0, 4, 1, 0, 2, 4, 1, 1, 4, 1, 3, 4, 3, 1, 0, 1, 0, 2, 0, 1, 2, 3, 0, 0, 2, 2, 3, 0, 3, 3, 2, 0, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 0, 0, 1, 3, 1, 3, 1, 0, 2, 2, 3, 3, 2, 2, 1, 1, 1, 4, 1, 3, 3, 2, 1, 4, 4, 3, 3, 2, 3, 2, 3, 1, 4, 0, 3, 4, 1, 3, 0, 1, 0, 2, 2, 0, 1, 2, 4, 2, 3, 3, 4, 0, 0, 4, 3, 3, 3, 4, 2, 3, 0, 3, 4, 1, 3, 0, 4, 3, 4, 4, 4, 0, 1, 1, 1, 0, 0, 3, 3, 1, 0, 4, 0, 1, 2, 1, 4, 2, 2, 1, 2, 4, 0, 2, 0, 0, 0, 4, 3, 1, 3, 1, 1, 3, 2, 1, 1, 0, 3, 3, 4, 3, 2, 2, 4, 0, 2, 2, 2, 1, 0, 2, 1, 0, 4, 0, 3, 4, 4, 4, 0, 3, 2, 1, 1, 1, 4, 1, 0, 3, 0, 4, 2, 3, 2, 0, 1, 2, 4, 2, 3, 2, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 1, 1, 1, 4, 3]
pubkeycol925 = [0, 2, 4, 1, 4, 1, 3, 4, 3, 3, 1, 0, 2, 3, 4, 2, 2, 4, 1, 0, 0, 1, 0, 3, 4, 1, 2, 1, 1, 3, 2, 3, 2, 0, 2, 0, 1, 4, 1, 2, 1, 3, 1, 3, 3, 2, 1, 4, 3, 4, 0, 4, 0, 0, 1, 2, 2, 0, 3, 4, 4, 4, 2, 4, 0, 3, 2, 3, 0, 0, 2, 1, 1, 0, 4, 4, 4, 4, 3, 0, 4, 4, 2, 3, 4, 4, 2, 2, 2, 1, 4, 1, 2, 3, 0, 3, 1, 4, 1, 1, 2, 3, 2, 0, 4, 4, 3, 1, 1, 0, 2, 0, 3, 3, 3, 2, 4, 0, 3, 0, 3, 0, 0, 1, 3, 4, 3, 2, 4, 4, 1, 1, 4, 2, 4, 2, 1, 0, 3, 4, 0, 1, 4, 0, 2, 1, 3, 0, 3, 3, 3, 3, 1, 4, 0, 1, 3, 0, 4, 1, 2, 2, 1, 1, 3, 0, 2, 4, 2, 0, 2, 4, 2, 2, 3, 2, 4, 0, 2, 0, 1, 3, 3, 4, 0, 0, 3, 1, 0, 4, 3, 0, 3, 0, 4, 1, 2, 0, 3, 1, 4, 3, 2, 3, 4, 0, 3, 4, 4, 2, 0, 0, 3, 3, 3, 1, 1, 4, 4, 1, 4, 1, 3, 3, 0, 1, 3, 0, 0, 4, 1, 4, 2, 3, 0, 0, 4, 4, 2, 2, 1, 1, 4, 1, 3, 1, 4, 0, 3, 2, 1, 1, 0, 2, 2, 1, 3, 2, 1, 1, 1, 2, 0, 2, 3, 0, 3, 0, 4, 2, 4, 3, 1, 2, 1, 3, 2, 3, 3, 4, 2, 2, 3, 2, 3, 0, 1, 2, 1, 4, 4, 4, 4, 0, 4, 0, 3, 1, 3, 4, 4, 2, 4, 4, 2, 1, 4, 0, 1, 2, 3, 4, 0, 1, 1, 4, 1, 0, 0, 0, 4, 0, 4, 3, 2, 3, 1, 1, 4, 2, 3, 2, 1, 4, 2, 3, 3, 3, 1, 3, 2, 0, 0, 3, 3, 0, 0, 4, 0, 4, 1, 2, 3, 1, 0, 2, 0, 4, 4, 1, 3, 0, 3, 0, 1, 4, 1, 2, 0, 3, 2, 0, 1, 0, 3, 4, 0, 4, 2, 0, 0, 2, 3, 3, 2, 0, 2, 3, 1, 0, 1, 4, 0, 2, 1, 1, 2, 3, 2, 0]
pubkeycol926 = [1, 1, 0, 4, 2, 2, 0, 0, 2, 3, 1, 0, 3, 4, 0, 2, 4, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 4, 0, 4, 3, 3, 2, 3, 3, 2, 4, 3, 3, 1, 3, 4, 4, 2, 3, 1, 1, 2, 2, 1, 3, 4, 1, 0, 2, 0, 4, 2, 0, 0, 4, 4, 0, 2, 4, 0, 1, 4, 0, 2, 4, 1, 3, 2, 4, 1, 1, 0, 0, 0, 4, 3, 2, 0, 3, 2, 1, 4, 2, 1, 4, 1, 3, 3, 0, 1, 0, 2, 1, 0, 4, 4, 1, 1, 0, 3, 0, 1, 4, 2, 4, 1, 3, 4, 2, 0, 3, 1, 3, 0, 0, 4, 4, 1, 1, 0, 1, 1, 1, 3, 3, 0, 0, 4, 2, 3, 3, 2, 4, 2, 3, 4, 1, 1, 1, 2, 2, 3, 3, 2, 0, 2, 3, 3, 0, 3, 3, 1, 2, 0, 3, 2, 1, 0, 2, 2, 4, 2, 1, 2, 3, 3, 1, 4, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 3, 1, 0, 2, 1, 1, 1, 1, 4, 3, 4, 1, 3, 1, 0, 1, 3, 4, 2, 1, 2, 0, 4, 0, 0, 4, 2, 0, 0, 1, 4, 0, 4, 3, 2, 4, 3, 0, 3, 1, 1, 3, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 4, 1, 4, 0, 0, 3, 3, 3, 4, 4, 4, 4, 2, 0, 3, 2, 3, 3, 0, 0, 2, 2, 1, 2, 0, 4, 2, 2, 4, 4, 0, 3, 1, 0, 1, 2, 0, 3, 4, 4, 4, 1, 0, 2, 4, 2, 3, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 4, 4, 4, 2, 2, 4, 1, 0, 4, 0, 2, 1, 3, 3, 0, 0, 4, 3, 2, 1, 3, 3, 0, 3, 3, 2, 2, 0, 0, 2, 1, 4, 4, 1, 1, 3, 3, 4, 3, 0, 2, 1, 1, 2, 2, 4, 4, 3, 3, 0, 4, 1, 0, 1, 4, 4, 1, 2, 4, 0, 3, 2, 4, 3, 2, 3, 2, 1, 1, 3, 0, 2, 3, 1, 1, 4, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 4, 3, 0, 0, 3, 2, 0, 2, 3, 1, 3, 0]
pubkeycol927 = [3, 0, 3, 0, 1, 3, 4, 3, 0, 1, 1, 3, 2, 2, 4, 2, 1, 2, 0, 0, 1, 0, 2, 3, 1, 1, 1, 3, 4, 3, 1, 3, 1, 4, 2, 4, 1, 1, 1, 3, 0, 2, 2, 4, 2, 0, 4, 2, 4, 0, 2, 2, 2, 4, 2, 4, 0, 4, 3, 2, 2, 3, 4, 0, 4, 1, 1, 0, 4, 0, 3, 1, 3, 0, 3, 4, 1, 0, 4, 0, 1, 2, 1, 0, 1, 0, 1, 4, 1, 3, 1, 0, 4, 0, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 1, 3, 3, 0, 1, 3, 1, 4, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 3, 4, 2, 0, 4, 0, 3, 4, 3, 0, 2, 4, 1, 3, 4, 4, 4, 1, 0, 1, 1, 2, 4, 4, 0, 1, 3, 0, 0, 0, 1, 3, 1, 4, 2, 3, 2, 3, 3, 2, 2, 0, 2, 2, 4, 4, 1, 4, 1, 0, 1, 2, 4, 3, 0, 3, 0, 0, 3, 3, 2, 2, 3, 3, 3, 4, 2, 3, 3, 4, 4, 3, 3, 0, 3, 1, 2, 4, 4, 1, 4, 0, 4, 4, 2, 2, 1, 0, 0, 3, 1, 4, 1, 0, 4, 4, 4, 0, 0, 1, 0, 1, 4, 1, 4, 3, 2, 4, 1, 3, 2, 3, 1, 0, 4, 3, 0, 1, 1, 0, 1, 3, 3, 3, 0, 4, 1, 3, 0, 1, 0, 3, 2, 0, 3, 2, 2, 4, 4, 4, 3, 4, 1, 1, 0, 3, 2, 4, 4, 2, 2, 1, 0, 3, 2, 0, 2, 1, 3, 0, 4, 2, 1, 0, 2, 0, 4, 1, 2, 2, 0, 4, 4, 2, 0, 4, 1, 0, 0, 3, 0, 4, 0, 4, 2, 3, 3, 4, 3, 3, 0, 4, 0, 4, 2, 4, 4, 3, 3, 3, 2, 0, 2, 2, 0, 3, 3, 1, 4, 4, 0, 0, 1, 0, 0, 3, 0, 4, 1, 0, 4, 1, 2, 3, 2, 3, 1, 2, 0, 4, 4, 4, 3, 4, 3, 0, 1, 1, 0, 4, 3, 0, 2, 2, 0, 4, 1, 2, 0, 3, 4, 0, 4, 2, 4, 1, 2, 1, 2, 2, 0, 3, 0, 3, 2, 3, 1, 3, 1, 4, 0, 1, 0, 2, 0, 4, 0]
pubkeycol928 = [1, 2, 3, 4, 0, 2, 3, 0, 4, 2, 2, 1, 4, 1, 2, 1, 4, 4, 2, 1, 0, 4, 1, 3, 4, 2, 2, 1, 3, 0, 1, 4, 2, 2, 1, 2, 3, 0, 2, 0, 1, 4, 0, 1, 1, 3, 0, 0, 2, 3, 4, 2, 0, 2, 1, 2, 1, 1, 4, 0, 1, 4, 0, 1, 1, 0, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 4, 3, 4, 0, 1, 0, 1, 0, 3, 2, 1, 1, 2, 0, 0, 4, 1, 0, 3, 0, 0, 4, 3, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 4, 3, 3, 2, 1, 4, 1, 4, 2, 1, 2, 4, 0, 2, 2, 0, 2, 3, 1, 1, 3, 0, 2, 2, 3, 3, 4, 0, 3, 0, 1, 1, 2, 1, 1, 2, 3, 4, 0, 3, 0, 4, 3, 1, 1, 0, 2, 1, 2, 1, 4, 2, 0, 0, 4, 1, 2, 2, 2, 3, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 4, 4, 4, 2, 2, 3, 0, 3, 4, 1, 2, 0, 1, 2, 4, 0, 4, 1, 4, 2, 1, 0, 4, 1, 4, 0, 0, 1, 3, 4, 2, 4, 4, 4, 0, 3, 2, 1, 4, 0, 2, 2, 4, 4, 2, 4, 0, 3, 1, 2, 2, 3, 2, 1, 1, 4, 2, 2, 0, 1, 2, 1, 1, 4, 2, 4, 2, 2, 2, 2, 3, 1, 4, 0, 3, 2, 1, 4, 1, 3, 2, 0, 2, 4, 4, 2, 0, 2, 0, 2, 1, 4, 0, 1, 3, 0, 1, 3, 3, 3, 4, 4, 3, 1, 0, 2, 2, 2, 3, 1, 3, 1, 2, 0, 1, 0, 4, 1, 4, 1, 1, 1, 4, 0, 4, 0, 3, 2, 3, 4, 2, 3, 1, 4, 3, 2, 4, 3, 3, 3, 2, 2, 4, 4, 2, 1, 1, 2, 4, 4, 2, 4, 0, 4, 1, 0, 4, 0, 2, 3, 0, 4, 4, 0, 1, 0, 4, 1, 1, 4, 4, 3, 0, 4, 3, 2, 3, 3, 2, 0, 3, 0, 2, 1, 4, 1, 2, 1, 4, 2, 0, 0, 2, 2, 4, 0, 1, 2, 4, 0, 3, 2, 2, 1, 2, 2, 1, 4, 2, 2, 2, 4, 2, 4, 2]
pubkeycol929 = [4, 0, 2, 0, 1, 1, 0, 0, 4, 3, 1, 0, 4, 0, 3, 4, 3, 2, 4, 0, 0, 0, 4, 2, 4, 3, 3, 2, 2, 0, 0, 4, 3, 1, 1, 4, 0, 2, 4, 1, 4, 4, 3, 2, 4, 1, 2, 1, 0, 4, 4, 2, 3, 2, 3, 2, 4, 0, 0, 3, 0, 3, 3, 1, 4, 2, 0, 0, 1, 1, 2, 2, 2, 1, 3, 1, 3, 1, 2, 1, 0, 4, 1, 0, 1, 2, 2, 4, 2, 4, 3, 4, 4, 2, 2, 1, 2, 3, 3, 2, 2, 3, 4, 1, 1, 4, 0, 4, 3, 2, 2, 3, 4, 0, 2, 0, 3, 4, 0, 4, 0, 4, 2, 3, 4, 0, 0, 0, 4, 2, 3, 4, 4, 1, 0, 4, 4, 1, 4, 3, 0, 2, 4, 3, 1, 1, 1, 2, 1, 3, 0, 4, 3, 1, 0, 0, 3, 4, 0, 4, 3, 2, 2, 0, 3, 1, 1, 3, 2, 1, 4, 2, 2, 3, 0, 3, 0, 2, 0, 3, 1, 1, 0, 0, 0, 3, 2, 1, 2, 2, 0, 1, 0, 3, 0, 0, 3, 4, 2, 1, 4, 3, 4, 4, 3, 0, 4, 3, 4, 1, 1, 1, 3, 0, 2, 1, 1, 0, 4, 2, 2, 1, 3, 4, 2, 1, 0, 4, 0, 1, 2, 2, 4, 4, 2, 4, 1, 1, 0, 3, 1, 0, 4, 1, 4, 3, 1, 4, 4, 2, 0, 1, 1, 3, 4, 2, 2, 0, 1, 0, 3, 1, 2, 2, 2, 0, 0, 3, 1, 2, 4, 2, 3, 0, 1, 0, 0, 3, 4, 1, 4, 2, 2, 1, 4, 0, 0, 2, 4, 4, 3, 4, 0, 1, 4, 2, 3, 3, 0, 3, 0, 3, 2, 1, 3, 0, 1, 2, 3, 4, 3, 0, 0, 2, 1, 1, 3, 4, 3, 4, 0, 1, 2, 2, 3, 3, 2, 0, 4, 2, 1, 2, 3, 1, 1, 2, 3, 1, 4, 4, 0, 0, 4, 4, 2, 1, 0, 0, 2, 1, 1, 2, 4, 4, 1, 2, 2, 2, 2, 3, 0, 2, 1, 4, 0, 3, 4, 4, 4, 0, 2, 1, 4, 4, 4, 0, 1, 3, 2, 1, 4, 1, 0, 4, 3, 4, 3, 4, 2, 2, 1, 4, 1, 0, 1, 1, 3, 1, 1, 3]
pubkeycol930 = [3, 1, 2, 0, 1, 1, 1, 4, 1, 4, 4, 4, 3, 2, 3, 0, 0, 0, 1, 3, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 3, 2, 3, 4, 3, 2, 0, 1, 0, 0, 0, 1, 0, 1, 4, 4, 4, 3, 1, 3, 0, 3, 4, 3, 3, 1, 0, 2, 4, 2, 3, 4, 1, 0, 4, 1, 1, 1, 4, 0, 1, 1, 0, 3, 1, 2, 4, 2, 2, 4, 1, 0, 4, 0, 3, 0, 2, 4, 2, 3, 2, 3, 3, 3, 4, 4, 2, 2, 0, 4, 4, 2, 3, 0, 0, 2, 3, 1, 1, 2, 0, 2, 3, 4, 1, 3, 2, 0, 0, 1, 2, 3, 0, 3, 4, 1, 0, 4, 0, 2, 3, 2, 1, 0, 3, 0, 0, 0, 3, 2, 4, 4, 4, 4, 1, 1, 1, 1, 4, 4, 1, 4, 0, 0, 0, 2, 3, 4, 2, 0, 2, 4, 0, 3, 0, 4, 4, 2, 3, 3, 4, 0, 2, 3, 4, 3, 3, 0, 3, 2, 2, 0, 0, 1, 2, 1, 0, 4, 1, 4, 2, 1, 0, 3, 4, 3, 0, 2, 1, 3, 3, 2, 4, 0, 0, 0, 1, 0, 0, 0, 2, 0, 4, 2, 3, 4, 3, 1, 1, 4, 2, 1, 4, 0, 3, 2, 0, 3, 1, 3, 3, 1, 0, 3, 2, 3, 1, 3, 1, 0, 2, 1, 1, 3, 3, 0, 3, 4, 0, 3, 2, 1, 3, 3, 0, 4, 1, 4, 1, 4, 0, 3, 2, 0, 3, 2, 0, 1, 4, 2, 2, 1, 1, 1, 1, 0, 4, 2, 3, 3, 1, 1, 3, 4, 1, 2, 0, 1, 0, 2, 3, 1, 3, 3, 4, 2, 3, 3, 2, 3, 3, 4, 2, 4, 0, 4, 4, 4, 2, 3, 4, 1, 1, 0, 0, 3, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 4, 2, 2, 3, 0, 3, 1, 1, 4, 1, 3, 0, 1, 3, 3, 4, 0, 3, 0, 1, 0, 3, 1, 2, 4, 4, 2, 1, 1, 0, 1, 1, 3, 3, 1, 4, 1, 1, 2, 1, 4, 2, 0, 3, 4, 3, 3, 2, 4, 4, 0, 1, 3, 2, 4, 3, 4, 0, 2, 0, 3, 3, 1, 3, 1]
pubkeycol931 = [3, 4, 4, 1, 0, 4, 2, 2, 1, 2, 0, 4, 1, 2, 0, 1, 3, 3, 3, 1, 3, 0, 4, 0, 2, 1, 0, 2, 1, 1, 3, 2, 2, 4, 4, 1, 3, 3, 1, 1, 3, 1, 2, 1, 0, 3, 0, 2, 3, 0, 2, 1, 1, 4, 2, 4, 3, 4, 0, 2, 0, 2, 1, 1, 3, 3, 1, 3, 4, 0, 4, 0, 1, 2, 0, 4, 4, 2, 0, 1, 1, 1, 4, 0, 4, 2, 2, 3, 4, 4, 2, 4, 4, 0, 1, 4, 1, 3, 4, 1, 1, 2, 2, 1, 1, 2, 0, 2, 4, 4, 0, 2, 3, 3, 0, 1, 1, 0, 3, 0, 2, 2, 0, 1, 2, 2, 4, 4, 1, 1, 0, 0, 2, 4, 1, 4, 2, 0, 3, 3, 1, 0, 1, 3, 2, 2, 4, 0, 2, 4, 0, 2, 4, 3, 0, 4, 0, 1, 0, 1, 1, 2, 2, 0, 2, 4, 1, 2, 2, 2, 3, 2, 2, 3, 1, 0, 3, 0, 0, 3, 4, 0, 3, 0, 3, 3, 3, 4, 3, 3, 4, 2, 4, 2, 0, 0, 2, 3, 1, 0, 4, 3, 0, 3, 3, 3, 4, 1, 1, 2, 1, 4, 0, 4, 3, 2, 4, 3, 2, 0, 4, 4, 3, 1, 3, 2, 2, 0, 0, 0, 3, 4, 1, 2, 2, 3, 4, 2, 3, 2, 1, 2, 0, 1, 2, 2, 0, 0, 4, 0, 2, 1, 3, 4, 2, 3, 1, 4, 2, 2, 1, 2, 3, 1, 1, 4, 1, 3, 0, 1, 0, 2, 4, 3, 0, 3, 0, 4, 1, 3, 3, 4, 3, 2, 3, 0, 0, 4, 0, 4, 4, 0, 4, 3, 2, 3, 4, 2, 1, 2, 1, 4, 3, 3, 2, 3, 0, 0, 3, 4, 1, 0, 1, 4, 4, 4, 1, 0, 2, 0, 2, 0, 4, 4, 1, 4, 1, 0, 0, 4, 0, 4, 0, 1, 0, 2, 0, 2, 4, 0, 0, 1, 1, 4, 0, 0, 2, 3, 3, 1, 1, 0, 0, 2, 3, 2, 3, 1, 1, 0, 3, 1, 2, 0, 4, 3, 3, 0, 1, 1, 3, 2, 1, 1, 2, 4, 0, 2, 2, 3, 0, 0, 3, 1, 2, 1, 3, 3, 3, 0, 2, 2, 2, 4, 4, 1, 3, 0, 4, 2]
pubkeycol932 = [2, 1, 0, 2, 1, 3, 3, 3, 4, 3, 0, 4, 2, 4, 2, 3, 3, 2, 3, 4, 4, 1, 3, 3, 0, 3, 3, 2, 3, 3, 0, 0, 4, 0, 3, 1, 0, 0, 3, 1, 4, 4, 3, 2, 3, 2, 3, 1, 4, 1, 2, 1, 1, 4, 1, 3, 1, 0, 4, 0, 3, 3, 1, 4, 2, 0, 0, 4, 0, 0, 1, 3, 2, 1, 4, 2, 3, 0, 1, 0, 4, 4, 4, 2, 3, 0, 2, 2, 1, 3, 0, 0, 4, 4, 3, 3, 1, 2, 4, 4, 1, 0, 1, 1, 3, 1, 2, 0, 4, 2, 0, 0, 3, 3, 4, 4, 0, 4, 3, 4, 2, 0, 2, 4, 4, 2, 1, 0, 4, 2, 3, 3, 4, 0, 4, 1, 2, 3, 1, 3, 4, 2, 4, 3, 1, 1, 1, 4, 1, 3, 1, 1, 2, 4, 4, 2, 0, 4, 1, 1, 1, 4, 2, 2, 0, 3, 2, 4, 3, 3, 1, 4, 1, 2, 1, 4, 2, 4, 0, 0, 2, 4, 2, 4, 0, 1, 0, 3, 1, 0, 2, 2, 2, 2, 3, 0, 2, 3, 4, 3, 4, 4, 3, 2, 0, 1, 3, 3, 1, 3, 1, 0, 0, 0, 4, 0, 4, 4, 3, 0, 3, 2, 0, 2, 4, 2, 3, 1, 4, 1, 2, 3, 1, 0, 2, 0, 4, 3, 3, 4, 1, 1, 0, 2, 4, 0, 4, 4, 1, 0, 3, 0, 4, 0, 0, 4, 2, 1, 4, 2, 0, 2, 3, 4, 1, 1, 2, 3, 1, 2, 4, 3, 2, 1, 1, 2, 4, 1, 1, 1, 0, 3, 4, 4, 2, 0, 1, 0, 2, 0, 3, 3, 4, 3, 3, 4, 1, 0, 0, 4, 1, 1, 4, 1, 0, 4, 4, 2, 2, 3, 4, 2, 1, 1, 4, 1, 1, 3, 4, 3, 4, 2, 4, 1, 1, 0, 3, 2, 1, 3, 1, 4, 3, 0, 2, 0, 4, 1, 4, 4, 1, 3, 2, 4, 4, 0, 1, 3, 1, 3, 1, 2, 4, 0, 2, 0, 3, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 4, 4, 3, 3, 4, 2, 1, 4, 4, 2, 0, 4, 0, 1, 4, 1, 4, 0, 1, 0, 4, 1, 1, 2, 0, 4, 2, 0]
pubkeycol933 = [3, 4, 1, 3, 0, 2, 3, 4, 2, 1, 3, 1, 2, 2, 2, 3, 0, 3, 1, 1, 2, 4, 2, 2, 4, 4, 4, 4, 2, 3, 2, 4, 1, 4, 1, 3, 4, 0, 0, 1, 3, 2, 0, 4, 3, 1, 0, 3, 2, 3, 4, 1, 3, 2, 3, 3, 1, 1, 3, 3, 2, 4, 2, 2, 4, 4, 2, 3, 0, 0, 0, 1, 2, 2, 0, 1, 2, 4, 4, 1, 4, 4, 0, 1, 2, 4, 3, 0, 2, 4, 0, 4, 2, 1, 4, 3, 1, 1, 2, 1, 4, 0, 0, 0, 0, 2, 2, 0, 1, 3, 1, 2, 3, 0, 0, 4, 2, 3, 3, 0, 4, 4, 0, 4, 3, 2, 3, 4, 0, 4, 0, 3, 1, 4, 0, 2, 2, 1, 2, 0, 3, 1, 3, 1, 1, 0, 0, 1, 3, 2, 1, 1, 1, 4, 0, 2, 3, 0, 4, 0, 1, 1, 3, 0, 3, 2, 0, 3, 2, 2, 4, 4, 2, 1, 1, 2, 1, 1, 4, 4, 4, 0, 4, 3, 4, 3, 2, 4, 4, 4, 1, 2, 3, 2, 4, 0, 0, 2, 4, 0, 3, 4, 0, 2, 4, 3, 4, 0, 0, 2, 0, 0, 3, 1, 0, 2, 0, 2, 0, 3, 4, 2, 1, 0, 0, 2, 2, 0, 3, 4, 2, 3, 4, 1, 0, 0, 3, 1, 0, 1, 2, 2, 2, 0, 3, 2, 2, 3, 0, 1, 3, 0, 3, 3, 4, 2, 2, 1, 0, 1, 0, 3, 1, 0, 0, 1, 0, 0, 1, 2, 4, 1, 0, 2, 0, 2, 1, 1, 0, 3, 0, 4, 2, 1, 3, 3, 3, 4, 1, 3, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 3, 2, 4, 0, 2, 4, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3, 0, 0, 1, 4, 2, 2, 2, 1, 0, 4, 1, 3, 3, 3, 3, 3, 0, 3, 3, 0, 1, 3, 0, 0, 1, 4, 4, 0, 3, 2, 4, 4, 2, 2, 3, 1, 3, 2, 2, 2, 2, 0, 3, 3, 1, 3, 2, 0, 1, 3, 2, 0, 4, 4, 4, 3, 0, 2, 4, 0, 2, 2, 2, 0, 0, 2, 3, 3, 4, 4, 4, 3, 1, 1, 3, 1, 0, 2, 3, 4, 3, 2, 3]
pubkeycol934 = [2, 0, 2, 2, 1, 1, 2, 2, 4, 2, 1, 4, 0, 2, 2, 2, 4, 4, 1, 2, 1, 1, 4, 3, 1, 1, 3, 2, 0, 3, 2, 0, 3, 1, 3, 3, 2, 1, 1, 1, 2, 0, 1, 4, 2, 0, 2, 1, 2, 3, 2, 3, 3, 1, 0, 1, 4, 4, 1, 0, 0, 0, 3, 0, 0, 1, 4, 4, 1, 1, 1, 1, 3, 1, 4, 1, 0, 0, 0, 3, 0, 1, 2, 2, 3, 3, 3, 2, 4, 0, 4, 2, 3, 4, 4, 2, 0, 3, 2, 1, 0, 3, 3, 2, 4, 4, 1, 0, 1, 2, 0, 3, 0, 0, 4, 1, 0, 1, 4, 4, 2, 2, 1, 1, 2, 1, 4, 1, 2, 2, 2, 4, 2, 3, 2, 0, 4, 1, 4, 3, 4, 2, 0, 4, 1, 1, 3, 4, 0, 1, 0, 0, 3, 3, 4, 2, 4, 0, 3, 2, 3, 2, 0, 1, 3, 0, 3, 4, 4, 4, 4, 3, 0, 0, 2, 3, 1, 0, 1, 0, 0, 4, 3, 0, 1, 0, 1, 2, 0, 4, 4, 2, 2, 0, 4, 1, 4, 3, 2, 0, 2, 0, 0, 3, 3, 2, 2, 4, 3, 0, 4, 2, 2, 1, 1, 4, 1, 0, 4, 2, 0, 1, 4, 0, 1, 4, 2, 2, 3, 0, 2, 0, 4, 4, 4, 3, 2, 1, 2, 0, 3, 3, 1, 3, 2, 0, 2, 4, 3, 2, 3, 2, 1, 1, 0, 2, 4, 3, 1, 2, 0, 2, 3, 2, 3, 1, 4, 4, 2, 2, 3, 0, 2, 0, 1, 0, 3, 1, 1, 0, 0, 2, 2, 2, 1, 2, 3, 1, 4, 3, 1, 0, 3, 1, 3, 4, 4, 0, 0, 0, 0, 1, 3, 2, 2, 1, 1, 0, 4, 2, 4, 4, 1, 0, 4, 4, 2, 0, 2, 1, 2, 0, 3, 3, 0, 1, 4, 0, 4, 3, 4, 2, 4, 3, 2, 3, 1, 3, 0, 0, 1, 4, 0, 3, 3, 3, 2, 2, 2, 3, 1, 3, 4, 2, 3, 2, 4, 0, 1, 4, 0, 1, 4, 3, 2, 4, 1, 2, 4, 4, 4, 2, 0, 0, 0, 4, 1, 1, 1, 4, 1, 2, 4, 4, 4, 1, 2, 0, 4, 0, 2, 3, 4, 1, 3, 0, 0, 2, 3, 0]
pubkeycol935 = [2, 3, 4, 1, 1, 2, 2, 2, 4, 0, 1, 0, 4, 4, 0, 0, 1, 4, 0, 3, 4, 2, 1, 2, 1, 3, 0, 2, 3, 2, 4, 2, 2, 0, 3, 4, 3, 4, 0, 1, 3, 4, 0, 1, 0, 4, 0, 3, 1, 1, 2, 1, 0, 0, 4, 3, 0, 0, 4, 2, 0, 1, 0, 0, 4, 4, 4, 1, 3, 1, 0, 1, 3, 2, 0, 3, 3, 1, 2, 1, 1, 1, 1, 4, 1, 4, 3, 1, 1, 0, 3, 4, 0, 2, 2, 2, 3, 1, 1, 0, 4, 3, 2, 0, 2, 4, 0, 4, 0, 0, 1, 0, 4, 4, 3, 1, 1, 3, 0, 3, 2, 0, 4, 3, 2, 3, 3, 4, 3, 2, 2, 2, 1, 0, 2, 4, 2, 3, 0, 1, 0, 4, 0, 1, 0, 3, 4, 2, 3, 4, 4, 3, 3, 3, 1, 0, 4, 1, 2, 1, 3, 1, 2, 2, 1, 0, 0, 1, 0, 3, 2, 2, 4, 3, 3, 1, 2, 0, 2, 0, 1, 1, 4, 4, 1, 2, 2, 4, 3, 4, 0, 3, 1, 0, 3, 0, 3, 3, 1, 1, 4, 3, 1, 3, 3, 2, 4, 1, 4, 1, 2, 0, 0, 0, 3, 2, 1, 1, 3, 2, 3, 1, 2, 4, 2, 3, 0, 4, 1, 4, 3, 1, 3, 2, 0, 2, 4, 1, 1, 2, 0, 3, 2, 4, 1, 1, 0, 4, 4, 3, 2, 3, 1, 1, 1, 0, 3, 1, 1, 0, 0, 0, 4, 2, 4, 0, 0, 2, 1, 3, 4, 4, 2, 1, 4, 1, 1, 4, 2, 2, 0, 3, 2, 1, 4, 3, 4, 4, 3, 2, 2, 4, 1, 2, 3, 4, 3, 2, 0, 2, 0, 2, 1, 1, 4, 4, 2, 3, 4, 1, 2, 2, 0, 2, 3, 1, 2, 2, 0, 1, 4, 2, 1, 2, 0, 2, 3, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 3, 0, 0, 0, 2, 2, 1, 4, 4, 2, 0, 3, 1, 0, 0, 2, 0, 4, 2, 4, 2, 0, 4, 2, 0, 2, 1, 1, 1, 0, 4, 0, 0, 1, 3, 4, 4, 2, 0, 4, 3, 0, 0, 3, 1, 1, 0, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0]
pubkeycol936 = [3, 1, 1, 2, 1, 4, 2, 0, 3, 4, 0, 3, 0, 2, 0, 3, 4, 1, 4, 3, 4, 4, 2, 2, 4, 4, 0, 2, 1, 1, 0, 3, 4, 4, 0, 0, 3, 2, 0, 4, 4, 3, 0, 4, 4, 3, 4, 2, 2, 4, 1, 2, 0, 1, 0, 1, 4, 3, 3, 2, 4, 1, 0, 1, 0, 0, 0, 3, 3, 4, 4, 4, 0, 2, 4, 4, 0, 4, 2, 3, 3, 0, 0, 1, 0, 4, 2, 3, 2, 1, 4, 3, 3, 0, 3, 2, 3, 3, 4, 2, 0, 0, 4, 0, 2, 1, 0, 4, 3, 3, 3, 2, 0, 4, 4, 3, 0, 3, 0, 1, 1, 2, 1, 4, 3, 4, 4, 2, 1, 1, 4, 0, 4, 1, 0, 4, 3, 4, 3, 2, 2, 1, 0, 1, 0, 0, 4, 3, 4, 2, 3, 3, 3, 3, 1, 1, 4, 2, 2, 4, 4, 0, 3, 1, 2, 0, 4, 1, 1, 3, 0, 1, 4, 0, 1, 4, 1, 2, 4, 3, 3, 3, 3, 4, 3, 2, 1, 0, 1, 4, 3, 1, 4, 3, 4, 2, 3, 0, 3, 3, 0, 4, 4, 4, 1, 4, 2, 4, 1, 1, 2, 4, 3, 3, 0, 4, 3, 1, 0, 4, 3, 3, 0, 2, 3, 1, 0, 4, 0, 3, 1, 4, 2, 1, 4, 3, 3, 3, 1, 4, 3, 4, 2, 1, 2, 0, 3, 4, 1, 1, 3, 2, 3, 1, 0, 2, 3, 3, 3, 0, 4, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 4, 0, 1, 3, 2, 3, 1, 2, 2, 3, 3, 3, 3, 3, 0, 4, 3, 4, 1, 4, 4, 4, 1, 2, 2, 4, 1, 1, 2, 2, 2, 0, 3, 4, 3, 1, 3, 1, 4, 1, 1, 4, 1, 2, 0, 0, 2, 0, 4, 1, 2, 3, 4, 4, 3, 0, 1, 2, 2, 0, 4, 0, 2, 3, 1, 4, 1, 2, 4, 2, 4, 0, 1, 4, 0, 1, 1, 4, 0, 3, 0, 1, 4, 0, 4, 2, 3, 0, 0, 4, 4, 0, 4, 0, 1, 1, 1, 1, 3, 3, 3, 3, 0, 2, 2, 1, 1, 2, 4, 0, 1, 3, 3, 2, 4, 3, 3, 4, 3, 4, 4, 0, 0, 1, 2, 1]
pubkeycol937 = [0, 4, 2, 4, 4, 0, 0, 1, 1, 1, 0, 1, 1, 4, 1, 0, 1, 4, 2, 1, 2, 1, 1, 3, 4, 0, 1, 1, 4, 0, 4, 4, 4, 2, 3, 3, 4, 2, 0, 0, 4, 0, 0, 1, 1, 2, 0, 1, 4, 4, 3, 0, 1, 3, 1, 3, 3, 3, 4, 3, 3, 4, 1, 1, 1, 2, 3, 0, 1, 1, 4, 3, 4, 0, 4, 4, 2, 3, 1, 4, 3, 3, 4, 2, 4, 0, 2, 2, 1, 3, 2, 2, 0, 1, 0, 1, 1, 3, 3, 1, 4, 4, 2, 3, 0, 4, 2, 0, 3, 2, 0, 4, 2, 2, 0, 4, 0, 2, 1, 1, 3, 1, 1, 0, 3, 1, 0, 4, 1, 1, 3, 3, 3, 4, 3, 3, 1, 1, 3, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 3, 0, 4, 1, 3, 1, 2, 4, 3, 3, 3, 0, 1, 1, 2, 2, 2, 4, 2, 3, 3, 0, 2, 0, 0, 1, 1, 2, 3, 3, 4, 2, 4, 2, 4, 1, 4, 1, 4, 1, 4, 4, 1, 3, 3, 2, 0, 2, 1, 1, 4, 4, 4, 1, 4, 4, 4, 3, 2, 2, 2, 3, 0, 2, 3, 0, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 1, 1, 3, 2, 2, 4, 2, 4, 2, 2, 4, 1, 1, 4, 3, 2, 2, 2, 1, 2, 2, 0, 3, 0, 1, 1, 3, 2, 4, 4, 2, 4, 2, 0, 4, 0, 2, 2, 2, 1, 1, 0, 4, 3, 3, 1, 2, 2, 3, 3, 2, 3, 2, 4, 4, 3, 1, 0, 2, 2, 1, 1, 3, 2, 0, 3, 0, 3, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 4, 4, 1, 0, 3, 3, 1, 0, 0, 0, 1, 3, 4, 2, 1, 3, 4, 4, 2, 3, 2, 1, 4, 0, 0, 0, 0, 0, 1, 2, 2, 3, 4, 1, 4, 4, 2, 3, 3, 4, 3, 3, 0, 1, 3, 2, 0, 0, 4, 3, 0, 4, 0, 4, 3, 1, 1, 4, 2, 0, 1, 3, 0, 0, 2, 3, 1, 3, 2, 0, 2, 4, 3, 0, 1, 4, 0, 0, 3, 0, 0, 3, 1, 2, 3, 0, 0, 1, 2, 1, 4, 1, 1, 0, 4]
pubkeycol938 = [4, 2, 3, 3, 3, 2, 0, 3, 3, 2, 3, 3, 4, 0, 3, 1, 0, 2, 0, 1, 4, 0, 3, 2, 4, 4, 3, 0, 2, 1, 1, 3, 1, 1, 3, 3, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 3, 3, 3, 1, 2, 2, 1, 1, 3, 3, 2, 1, 4, 4, 2, 2, 3, 4, 3, 2, 0, 1, 3, 0, 2, 2, 0, 4, 0, 3, 3, 2, 0, 4, 2, 1, 1, 2, 1, 2, 1, 3, 3, 3, 1, 3, 2, 2, 1, 0, 4, 1, 2, 1, 1, 3, 0, 1, 0, 1, 4, 0, 2, 1, 2, 2, 1, 1, 1, 4, 1, 3, 4, 2, 3, 2, 3, 1, 4, 2, 3, 1, 2, 1, 1, 4, 4, 1, 0, 0, 1, 2, 1, 2, 3, 3, 3, 2, 4, 3, 1, 0, 3, 1, 4, 1, 1, 3, 1, 1, 1, 4, 4, 3, 3, 2, 2, 0, 4, 4, 2, 0, 1, 1, 2, 2, 4, 0, 3, 0, 3, 0, 0, 2, 0, 4, 0, 3, 3, 4, 0, 2, 4, 3, 2, 1, 2, 0, 1, 4, 1, 1, 3, 1, 0, 3, 3, 2, 4, 3, 3, 3, 3, 0, 0, 3, 0, 1, 2, 3, 1, 0, 1, 4, 1, 0, 2, 0, 2, 2, 2, 3, 4, 2, 4, 1, 3, 2, 1, 1, 0, 2, 1, 2, 3, 3, 0, 3, 3, 2, 3, 3, 1, 4, 1, 2, 3, 0, 0, 1, 2, 3, 3, 2, 3, 4, 4, 4, 4, 0, 4, 3, 0, 0, 1, 1, 3, 0, 3, 1, 3, 2, 4, 3, 3, 3, 3, 1, 4, 4, 4, 4, 3, 0, 2, 3, 0, 1, 2, 0, 2, 4, 3, 1, 4, 2, 2, 0, 4, 1, 1, 3, 1, 3, 2, 2, 2, 2, 4, 2, 4, 3, 2, 3, 2, 1, 4, 4, 2, 0, 3, 1, 3, 4, 0, 2, 3, 1, 4, 0, 0, 2, 3, 4, 4, 1, 1, 0, 2, 3, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 4, 1, 0, 4, 2, 3, 4, 3, 4, 1, 0, 2, 2, 3, 0, 4, 4, 3, 2, 1, 1, 4, 0, 3, 3, 0, 4, 3, 3, 3, 2, 1, 0, 2, 2, 2, 4, 1, 1, 2]
pubkeycol939 = [2, 0, 1, 3, 0, 0, 1, 2, 3, 1, 4, 3, 2, 1, 4, 2, 1, 0, 4, 0, 4, 0, 0, 0, 0, 1, 2, 4, 0, 1, 1, 1, 1, 4, 1, 4, 2, 2, 0, 1, 2, 1, 4, 4, 2, 0, 0, 0, 4, 0, 0, 3, 3, 0, 2, 0, 4, 2, 2, 0, 4, 1, 1, 4, 0, 1, 0, 4, 4, 2, 0, 2, 4, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 4, 1, 1, 2, 1, 1, 3, 0, 3, 0, 3, 1, 3, 2, 4, 4, 4, 3, 2, 0, 0, 2, 0, 0, 4, 1, 4, 3, 3, 0, 2, 2, 3, 1, 1, 2, 1, 1, 3, 0, 2, 0, 2, 3, 3, 3, 0, 2, 1, 2, 4, 4, 1, 3, 2, 4, 3, 2, 4, 1, 2, 3, 3, 3, 1, 4, 2, 3, 2, 2, 2, 2, 3, 1, 4, 3, 1, 2, 3, 0, 1, 2, 1, 0, 1, 4, 2, 3, 4, 0, 4, 3, 1, 2, 4, 2, 3, 0, 3, 1, 0, 2, 2, 3, 0, 3, 1, 4, 0, 2, 2, 3, 1, 0, 4, 1, 4, 4, 4, 3, 4, 1, 4, 4, 2, 4, 2, 1, 1, 0, 0, 4, 1, 2, 4, 4, 3, 2, 0, 3, 4, 0, 0, 3, 4, 0, 2, 3, 1, 2, 3, 2, 4, 4, 1, 0, 2, 3, 2, 1, 1, 1, 4, 1, 0, 4, 1, 4, 0, 2, 3, 3, 2, 0, 4, 2, 1, 3, 1, 3, 4, 2, 1, 1, 2, 1, 0, 1, 2, 0, 3, 0, 4, 4, 2, 2, 0, 3, 2, 0, 4, 4, 3, 1, 1, 3, 2, 4, 2, 3, 3, 1, 2, 1, 0, 4, 0, 1, 3, 0, 1, 4, 3, 1, 2, 2, 1, 2, 3, 1, 4, 3, 3, 2, 0, 2, 3, 4, 2, 1, 1, 4, 1, 0, 0, 2, 1, 3, 0, 4, 0, 3, 2, 1, 2, 1, 3, 4, 1, 2, 2, 3, 2, 3, 3, 1, 0, 1, 0, 4, 2, 3, 3, 0, 0, 4, 1, 0, 3, 0, 3, 2, 1, 1, 0, 3, 1, 0, 3, 3, 4, 0, 0, 1, 4, 4, 3, 0, 1, 4, 2, 0, 0, 4, 4, 3, 4, 3, 3, 3, 4, 0, 3, 3, 4, 2]
pubkeycol940 = [4, 0, 0, 4, 1, 0, 4, 4, 1, 4, 4, 1, 2, 2, 0, 3, 4, 0, 4, 1, 4, 2, 1, 1, 4, 1, 2, 2, 4, 4, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 4, 0, 0, 1, 4, 2, 4, 0, 4, 3, 2, 2, 0, 3, 3, 0, 2, 4, 1, 2, 2, 1, 3, 0, 0, 1, 3, 0, 1, 0, 0, 4, 2, 0, 1, 2, 1, 0, 3, 1, 4, 4, 0, 2, 3, 2, 2, 2, 0, 0, 4, 2, 3, 0, 0, 4, 3, 4, 0, 1, 0, 2, 0, 2, 1, 3, 3, 2, 0, 4, 4, 3, 1, 2, 0, 4, 0, 1, 3, 1, 0, 1, 0, 3, 0, 0, 3, 4, 3, 4, 4, 3, 3, 2, 4, 4, 4, 0, 3, 1, 2, 1, 4, 0, 3, 2, 2, 0, 2, 4, 4, 3, 4, 2, 2, 4, 3, 4, 1, 3, 3, 2, 1, 4, 4, 4, 2, 0, 0, 2, 3, 3, 2, 3, 4, 0, 3, 4, 1, 1, 1, 0, 0, 0, 3, 4, 4, 1, 1, 1, 4, 0, 0, 2, 3, 0, 4, 4, 0, 4, 3, 2, 3, 0, 2, 1, 3, 3, 0, 0, 1, 4, 1, 0, 1, 4, 0, 3, 4, 0, 2, 0, 1, 4, 1, 2, 2, 1, 4, 1, 3, 3, 2, 0, 0, 4, 2, 3, 1, 1, 1, 3, 4, 3, 4, 1, 1, 2, 3, 1, 0, 3, 2, 3, 0, 4, 0, 1, 0, 3, 3, 0, 2, 1, 2, 4, 2, 0, 4, 1, 2, 3, 2, 2, 3, 1, 1, 1, 0, 1, 3, 0, 4, 1, 3, 3, 4, 1, 3, 2, 1, 3, 0, 3, 1, 4, 2, 2, 1, 2, 0, 1, 1, 2, 1, 4, 4, 2, 0, 3, 1, 1, 1, 4, 1, 3, 0, 0, 0, 3, 3, 0, 3, 2, 3, 4, 4, 1, 0, 4, 4, 4, 1, 4, 0, 4, 2, 0, 3, 2, 1, 0, 2, 4, 1, 3, 1, 1, 3, 0, 2, 2, 1, 0, 1, 1, 0, 4, 4, 4, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 3, 4, 2, 3, 0, 0, 2, 3, 3, 4, 0, 4, 4, 2, 1, 4, 0, 4, 2, 2, 1, 1, 4, 0, 1, 1, 3]
pubkeycol941 = [4, 4, 4, 0, 0, 3, 0, 0, 2, 0, 4, 2, 2, 3, 1, 4, 4, 2, 0, 4, 0, 4, 3, 0, 0, 2, 2, 2, 2, 0, 3, 4, 2, 0, 2, 2, 4, 2, 0, 3, 2, 0, 2, 0, 3, 0, 4, 2, 3, 2, 4, 4, 4, 4, 0, 3, 1, 2, 3, 4, 2, 3, 1, 3, 2, 4, 3, 0, 4, 3, 0, 4, 3, 2, 1, 3, 4, 2, 0, 0, 0, 2, 2, 2, 0, 0, 3, 0, 0, 4, 2, 1, 1, 1, 1, 2, 0, 1, 3, 2, 0, 1, 2, 4, 1, 3, 1, 4, 1, 3, 2, 3, 0, 4, 1, 2, 4, 2, 2, 3, 4, 0, 1, 2, 1, 3, 4, 0, 0, 2, 2, 4, 0, 4, 1, 0, 1, 2, 1, 2, 4, 0, 2, 3, 3, 1, 2, 3, 3, 4, 4, 2, 3, 0, 3, 1, 2, 1, 4, 0, 3, 1, 3, 0, 3, 3, 3, 4, 1, 4, 0, 3, 4, 3, 2, 0, 1, 4, 2, 1, 4, 0, 3, 1, 2, 0, 3, 4, 1, 1, 3, 3, 1, 1, 0, 2, 0, 4, 2, 0, 0, 1, 0, 2, 0, 4, 2, 4, 2, 4, 1, 0, 2, 4, 0, 0, 2, 0, 2, 1, 0, 0, 3, 4, 3, 2, 2, 1, 4, 2, 1, 1, 3, 2, 2, 3, 4, 0, 0, 4, 0, 0, 2, 0, 1, 1, 4, 0, 0, 0, 0, 4, 1, 1, 4, 4, 3, 1, 3, 1, 4, 4, 2, 1, 0, 1, 0, 3, 4, 2, 0, 0, 1, 1, 0, 1, 4, 0, 0, 4, 0, 3, 0, 3, 1, 0, 4, 2, 0, 3, 2, 0, 1, 3, 4, 2, 1, 2, 3, 1, 1, 1, 4, 2, 2, 3, 2, 1, 2, 1, 4, 2, 2, 4, 2, 2, 0, 1, 4, 0, 4, 3, 3, 4, 3, 3, 4, 2, 2, 2, 1, 4, 0, 4, 2, 1, 0, 4, 3, 2, 1, 3, 3, 2, 1, 3, 0, 4, 0, 0, 3, 4, 0, 4, 4, 1, 3, 0, 4, 4, 1, 4, 3, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 3, 1, 0, 2, 0, 4, 1, 3, 2, 0, 0, 1, 1, 4, 4, 3, 4, 4, 4, 0, 3, 2, 4, 1, 1, 3, 4]
pubkeycol942 = [4, 1, 1, 2, 4, 2, 4, 0, 2, 1, 3, 4, 0, 1, 3, 3, 0, 2, 0, 3, 4, 3, 4, 3, 4, 3, 4, 2, 0, 3, 0, 2, 1, 1, 4, 0, 3, 4, 0, 0, 2, 0, 2, 1, 0, 3, 4, 1, 3, 0, 2, 0, 0, 3, 0, 1, 3, 4, 1, 4, 0, 3, 0, 1, 0, 3, 0, 0, 0, 0, 1, 4, 2, 1, 2, 1, 0, 1, 4, 4, 2, 3, 0, 3, 0, 0, 0, 0, 4, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 3, 2, 4, 4, 3, 4, 0, 4, 1, 1, 4, 2, 4, 0, 3, 1, 0, 1, 0, 4, 0, 3, 3, 2, 2, 3, 2, 0, 3, 2, 1, 0, 0, 4, 1, 0, 2, 0, 3, 4, 2, 0, 0, 1, 2, 4, 1, 1, 0, 1, 4, 4, 0, 0, 1, 2, 3, 1, 2, 1, 0, 4, 2, 3, 0, 0, 0, 3, 1, 4, 2, 0, 4, 2, 0, 4, 1, 4, 4, 1, 1, 3, 1, 0, 1, 2, 1, 4, 0, 4, 1, 0, 0, 0, 4, 3, 0, 1, 4, 4, 0, 2, 3, 1, 4, 1, 4, 0, 2, 3, 4, 1, 0, 3, 3, 1, 2, 0, 1, 4, 3, 1, 1, 3, 1, 4, 3, 4, 0, 3, 3, 3, 1, 4, 4, 3, 4, 4, 0, 4, 0, 0, 1, 4, 0, 4, 2, 2, 4, 3, 4, 3, 4, 3, 1, 1, 3, 4, 2, 0, 1, 4, 1, 1, 4, 2, 2, 0, 1, 1, 3, 4, 4, 2, 4, 1, 2, 4, 4, 2, 2, 3, 1, 3, 1, 3, 3, 2, 2, 0, 3, 2, 2, 0, 1, 0, 3, 4, 1, 3, 0, 1, 3, 0, 4, 2, 4, 1, 4, 1, 2, 2, 4, 0, 1, 2, 3, 3, 4, 2, 4, 2, 4, 4, 3, 1, 0, 1, 4, 0, 3, 2, 3, 1, 3, 2, 1, 0, 0, 0, 0, 2, 0, 4, 4, 1, 3, 0, 0, 4, 4, 2, 0, 3, 1, 0, 2, 2, 1, 3, 4, 0, 4, 4, 4, 3, 1, 0, 3, 3, 3, 1, 4, 3, 1, 4, 3, 3, 2, 1, 3, 2, 1, 1, 3, 3, 0, 0, 2, 4, 2, 2, 2, 2, 0, 0, 1, 1, 2, 4, 1]
pubkeycol943 = [0, 3, 1, 0, 3, 2, 3, 4, 0, 4, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 3, 3, 0, 1, 4, 0, 0, 2, 1, 3, 1, 2, 0, 4, 0, 1, 2, 0, 2, 1, 0, 1, 1, 4, 3, 2, 2, 1, 2, 1, 4, 2, 2, 0, 3, 4, 4, 3, 0, 0, 3, 0, 1, 4, 4, 1, 3, 2, 3, 2, 3, 3, 0, 4, 4, 4, 3, 1, 4, 0, 0, 4, 0, 1, 1, 3, 1, 1, 0, 3, 2, 0, 1, 4, 1, 0, 2, 2, 4, 0, 2, 2, 4, 1, 1, 4, 1, 3, 4, 0, 4, 4, 3, 2, 1, 2, 0, 0, 3, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 1, 0, 1, 0, 3, 3, 2, 2, 2, 1, 4, 1, 4, 0, 3, 2, 4, 1, 3, 0, 4, 3, 4, 4, 0, 3, 0, 4, 3, 2, 3, 2, 3, 4, 4, 3, 4, 0, 2, 4, 1, 0, 1, 3, 1, 3, 1, 1, 4, 2, 3, 4, 1, 3, 2, 2, 2, 0, 1, 2, 2, 2, 4, 4, 2, 4, 3, 4, 1, 4, 0, 4, 2, 1, 3, 3, 2, 1, 2, 4, 1, 0, 2, 4, 3, 3, 0, 0, 0, 4, 4, 1, 4, 3, 2, 3, 0, 2, 3, 0, 4, 2, 2, 2, 1, 1, 1, 3, 4, 2, 3, 0, 3, 0, 1, 1, 3, 4, 3, 1, 0, 1, 0, 1, 2, 3, 2, 4, 2, 2, 1, 3, 3, 1, 0, 1, 3, 4, 4, 4, 3, 4, 0, 1, 3, 3, 2, 3, 1, 0, 1, 0, 4, 0, 3, 4, 1, 4, 0, 3, 2, 1, 1, 2, 1, 2, 2, 4, 2, 1, 0, 4, 4, 1, 3, 2, 4, 0, 4, 2, 4, 1, 0, 3, 0, 4, 3, 4, 1, 3, 2, 4, 4, 2, 2, 0, 1, 4, 4, 0, 3, 0, 3, 2, 3, 4, 1, 1, 3, 4, 4, 2, 1, 4, 1, 0, 0, 1, 1, 1, 4, 2, 1, 1, 4, 0, 0, 2, 1, 3, 4, 3, 3, 2, 3, 2, 0, 1, 4, 2, 1, 4, 0, 3, 2, 1, 3, 4, 1, 0, 1, 3, 2, 3, 3, 2, 4, 0, 4, 0, 4, 4, 0, 4, 4, 0, 2, 1]
pubkeycol944 = [1, 2, 1, 4, 2, 1, 1, 4, 4, 4, 1, 3, 3, 0, 0, 0, 0, 1, 0, 4, 1, 1, 2, 0, 3, 2, 1, 4, 0, 3, 3, 3, 4, 0, 2, 1, 1, 0, 1, 0, 1, 4, 4, 2, 2, 2, 0, 2, 2, 0, 4, 2, 1, 2, 1, 0, 4, 4, 1, 2, 4, 2, 2, 4, 0, 0, 2, 0, 1, 2, 2, 1, 3, 1, 1, 0, 2, 1, 2, 2, 4, 1, 2, 2, 3, 1, 1, 4, 0, 3, 2, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 0, 4, 4, 2, 3, 3, 4, 3, 1, 0, 1, 2, 3, 4, 1, 2, 2, 2, 3, 4, 2, 0, 0, 3, 1, 4, 1, 2, 0, 4, 1, 1, 0, 0, 3, 0, 2, 2, 0, 3, 1, 3, 2, 1, 3, 3, 3, 3, 3, 4, 2, 0, 3, 0, 2, 4, 0, 3, 3, 2, 1, 3, 0, 3, 2, 3, 4, 4, 2, 3, 2, 4, 3, 4, 2, 0, 1, 0, 0, 3, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 4, 1, 0, 1, 3, 3, 3, 0, 4, 4, 0, 1, 0, 4, 4, 4, 3, 3, 4, 1, 2, 2, 1, 0, 0, 3, 0, 4, 2, 0, 3, 2, 1, 0, 0, 0, 0, 0, 4, 1, 2, 4, 3, 2, 2, 1, 3, 1, 1, 2, 2, 1, 0, 4, 0, 0, 3, 2, 1, 0, 4, 3, 2, 3, 4, 1, 1, 0, 0, 1, 2, 3, 0, 4, 0, 1, 0, 0, 0, 3, 0, 3, 3, 3, 1, 0, 3, 0, 0, 4, 2, 0, 2, 1, 0, 4, 0, 4, 3, 2, 1, 1, 1, 0, 3, 4, 1, 2, 2, 4, 2, 2, 4, 4, 2, 1, 4, 0, 2, 1, 4, 4, 4, 1, 4, 4, 2, 2, 1, 1, 4, 1, 3, 1, 2, 0, 3, 4, 0, 3, 1, 3, 4, 0, 2, 4, 1, 0, 0, 1, 1, 3, 2, 4, 0, 1, 0, 3, 1, 2, 2, 4, 0, 2, 2, 4, 0, 1, 3, 0, 3, 4, 2, 2, 3, 1, 1, 0, 2, 2, 2, 3, 3, 3, 3, 3, 4, 2, 3, 0, 0, 1, 4, 0, 4, 2, 4, 3, 2, 2, 4, 1, 0, 0, 3]
pubkeycol945 = [0, 1, 0, 3, 4, 1, 4, 4, 3, 4, 3, 4, 2, 0, 1, 0, 2, 1, 2, 3, 4, 2, 3, 1, 0, 4, 0, 0, 3, 4, 2, 2, 0, 0, 3, 0, 2, 3, 0, 0, 1, 1, 3, 2, 1, 4, 0, 3, 2, 4, 1, 2, 1, 3, 0, 4, 1, 4, 1, 3, 0, 1, 1, 0, 3, 1, 4, 3, 1, 0, 1, 1, 3, 4, 4, 2, 4, 1, 0, 1, 1, 2, 1, 2, 2, 2, 3, 0, 3, 3, 1, 0, 4, 2, 2, 4, 1, 0, 1, 3, 3, 0, 0, 3, 4, 1, 0, 3, 0, 4, 1, 4, 1, 2, 4, 2, 2, 2, 1, 2, 4, 2, 0, 3, 3, 2, 3, 3, 3, 4, 1, 0, 4, 3, 3, 0, 1, 1, 2, 0, 0, 3, 0, 4, 0, 1, 3, 3, 4, 0, 4, 0, 2, 0, 1, 1, 4, 1, 4, 2, 2, 2, 1, 2, 0, 2, 0, 3, 3, 0, 4, 3, 2, 1, 3, 4, 3, 3, 2, 2, 3, 2, 1, 3, 2, 1, 3, 3, 1, 0, 2, 2, 4, 2, 4, 0, 1, 3, 3, 3, 0, 3, 0, 3, 1, 0, 4, 4, 0, 4, 2, 1, 1, 4, 1, 0, 2, 3, 4, 3, 3, 3, 2, 3, 2, 4, 4, 1, 2, 3, 4, 0, 3, 3, 0, 1, 1, 4, 3, 1, 3, 0, 1, 3, 4, 1, 0, 1, 4, 0, 1, 4, 4, 0, 3, 0, 1, 3, 3, 3, 4, 2, 1, 2, 3, 2, 0, 1, 1, 2, 1, 4, 4, 3, 0, 1, 3, 2, 1, 2, 3, 0, 2, 0, 4, 0, 0, 2, 3, 1, 0, 3, 4, 0, 4, 2, 4, 4, 4, 0, 3, 0, 4, 3, 4, 3, 4, 3, 2, 1, 1, 2, 4, 4, 1, 3, 2, 4, 4, 0, 2, 4, 3, 3, 2, 1, 2, 3, 0, 3, 0, 1, 2, 0, 4, 0, 0, 1, 4, 1, 1, 4, 1, 3, 4, 1, 4, 0, 4, 0, 4, 0, 4, 0, 3, 2, 0, 1, 0, 1, 4, 1, 0, 0, 2, 1, 3, 1, 3, 0, 1, 3, 2, 0, 0, 0, 4, 0, 4, 2, 1, 1, 2, 4, 1, 1, 3, 4, 4, 2, 1, 0, 2, 4, 1, 2, 3, 4, 1, 0]
pubkeycol946 = [2, 3, 4, 1, 2, 3, 3, 3, 0, 2, 3, 2, 4, 1, 3, 0, 1, 0, 3, 2, 1, 2, 3, 4, 3, 4, 3, 4, 0, 0, 1, 4, 0, 1, 3, 0, 2, 1, 0, 4, 3, 4, 1, 4, 1, 0, 0, 3, 4, 4, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 4, 0, 3, 0, 3, 0, 1, 2, 4, 3, 3, 2, 0, 1, 4, 2, 0, 1, 2, 4, 1, 3, 3, 1, 1, 1, 0, 2, 3, 3, 0, 4, 3, 0, 4, 3, 3, 1, 0, 4, 1, 1, 2, 2, 1, 0, 1, 0, 1, 4, 3, 0, 1, 2, 2, 4, 2, 0, 3, 1, 0, 3, 2, 1, 4, 1, 0, 3, 0, 4, 0, 0, 4, 0, 3, 4, 1, 2, 2, 3, 1, 4, 1, 1, 3, 4, 4, 1, 1, 2, 3, 3, 0, 0, 2, 3, 2, 0, 4, 3, 4, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 4, 3, 4, 3, 2, 3, 0, 0, 1, 0, 0, 3, 0, 1, 2, 2, 4, 1, 3, 4, 0, 0, 3, 2, 0, 3, 0, 0, 4, 0, 3, 0, 3, 4, 4, 3, 0, 1, 3, 3, 0, 0, 1, 2, 3, 3, 1, 0, 4, 3, 3, 4, 4, 4, 1, 2, 2, 3, 1, 0, 2, 3, 1, 3, 2, 4, 2, 4, 3, 4, 3, 4, 1, 1, 1, 0, 1, 2, 1, 4, 3, 4, 4, 4, 4, 3, 0, 4, 2, 4, 2, 3, 1, 3, 2, 2, 2, 0, 3, 0, 2, 0, 0, 1, 1, 0, 2, 0, 3, 0, 4, 3, 0, 1, 0, 2, 4, 2, 1, 0, 4, 3, 2, 2, 1, 2, 4, 4, 3, 1, 4, 1, 2, 1, 3, 1, 3, 1, 2, 1, 0, 4, 4, 3, 4, 2, 2, 4, 1, 3, 1, 0, 4, 2, 4, 0, 1, 2, 1, 1, 4, 3, 4, 0, 4, 4, 1, 4, 2, 0, 2, 3, 1, 1, 0, 2, 0, 2, 4, 1, 3, 4, 0, 2, 3, 2, 4, 2, 0, 4, 2, 3, 1, 4, 4, 4, 4, 0, 1, 0, 4, 2, 1, 3, 1, 4, 3, 4, 3, 2, 1, 0, 2, 2, 1, 0, 2, 2, 3, 3, 4, 0, 3, 0, 0, 3, 4]
pubkeycol947 = [2, 4, 4, 2, 1, 2, 3, 0, 3, 4, 4, 4, 4, 0, 0, 4, 2, 2, 1, 2, 3, 4, 4, 1, 0, 2, 2, 4, 2, 4, 3, 4, 2, 2, 2, 3, 2, 4, 2, 1, 2, 2, 1, 4, 1, 2, 3, 1, 4, 1, 1, 1, 1, 0, 4, 3, 0, 4, 1, 3, 0, 0, 4, 1, 2, 0, 4, 4, 3, 0, 3, 0, 2, 0, 0, 3, 1, 4, 3, 4, 3, 4, 2, 4, 2, 3, 4, 1, 0, 3, 2, 2, 4, 4, 3, 3, 1, 4, 4, 1, 3, 4, 2, 4, 2, 3, 0, 4, 4, 2, 0, 2, 3, 4, 0, 4, 0, 2, 3, 0, 1, 2, 1, 1, 4, 3, 4, 1, 3, 2, 2, 4, 4, 3, 3, 1, 2, 4, 1, 4, 3, 3, 0, 1, 1, 1, 4, 2, 3, 0, 0, 3, 2, 0, 0, 4, 2, 1, 3, 1, 0, 2, 1, 0, 4, 4, 1, 3, 4, 3, 4, 4, 2, 1, 3, 1, 2, 3, 3, 2, 2, 1, 0, 0, 1, 4, 2, 0, 2, 4, 4, 0, 1, 0, 0, 1, 3, 3, 1, 2, 3, 0, 1, 3, 1, 1, 2, 3, 1, 3, 1, 3, 4, 3, 2, 2, 4, 3, 0, 4, 0, 4, 2, 4, 4, 4, 3, 0, 3, 4, 1, 0, 2, 4, 1, 2, 3, 3, 1, 2, 3, 1, 0, 0, 1, 0, 1, 0, 1, 3, 3, 3, 3, 3, 1, 3, 2, 1, 3, 2, 1, 2, 2, 4, 1, 0, 1, 1, 1, 4, 2, 2, 3, 4, 4, 2, 0, 4, 0, 1, 1, 4, 3, 4, 4, 3, 4, 1, 2, 4, 1, 4, 4, 2, 1, 1, 2, 3, 1, 0, 0, 3, 3, 2, 2, 2, 1, 1, 4, 3, 4, 2, 0, 4, 4, 3, 1, 4, 3, 4, 4, 2, 1, 4, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 3, 4, 1, 2, 1, 4, 0, 3, 3, 0, 1, 2, 4, 1, 4, 1, 0, 3, 2, 2, 3, 2, 4, 1, 2, 2, 3, 3, 2, 4, 3, 0, 4, 0, 0, 2, 2, 1, 3, 4, 0, 2, 2, 4, 2, 1, 2, 1, 1, 2, 1, 2, 4, 3, 0, 3, 1, 4, 3, 2, 3, 2, 1, 0, 2, 0]
pubkeycol948 = [2, 2, 3, 0, 2, 3, 3, 4, 1, 1, 3, 2, 2, 4, 0, 2, 0, 3, 2, 2, 3, 3, 4, 3, 2, 4, 3, 1, 0, 0, 1, 0, 0, 3, 4, 3, 2, 1, 2, 3, 1, 2, 3, 1, 4, 0, 0, 0, 1, 1, 0, 4, 1, 0, 4, 1, 3, 2, 1, 1, 1, 1, 0, 0, 1, 3, 3, 3, 0, 0, 2, 1, 2, 4, 1, 0, 3, 2, 3, 1, 0, 3, 1, 3, 0, 3, 1, 2, 0, 4, 4, 3, 4, 1, 0, 1, 2, 1, 0, 3, 2, 2, 0, 3, 2, 3, 1, 4, 2, 1, 3, 4, 4, 3, 3, 0, 0, 2, 4, 1, 3, 1, 0, 2, 3, 4, 3, 3, 4, 4, 0, 0, 2, 3, 1, 3, 0, 4, 0, 3, 3, 4, 3, 3, 2, 3, 2, 0, 3, 3, 3, 1, 3, 1, 2, 3, 1, 4, 0, 2, 3, 4, 1, 0, 4, 2, 2, 1, 4, 0, 1, 3, 4, 2, 4, 3, 2, 4, 4, 2, 0, 1, 3, 3, 0, 1, 2, 0, 3, 0, 2, 2, 3, 3, 2, 3, 3, 0, 3, 1, 3, 1, 2, 1, 0, 4, 3, 2, 2, 0, 4, 3, 2, 1, 0, 0, 1, 3, 2, 1, 3, 0, 0, 2, 3, 0, 0, 0, 4, 0, 0, 1, 4, 3, 4, 2, 1, 4, 0, 4, 4, 0, 2, 1, 3, 0, 0, 0, 3, 4, 0, 3, 1, 0, 3, 4, 4, 0, 3, 2, 2, 2, 1, 1, 3, 4, 3, 2, 4, 4, 1, 1, 0, 3, 4, 2, 2, 0, 2, 2, 1, 4, 4, 1, 0, 2, 4, 3, 2, 1, 4, 2, 4, 3, 1, 1, 3, 3, 3, 1, 3, 1, 2, 1, 2, 2, 3, 2, 0, 3, 3, 0, 3, 4, 1, 4, 0, 0, 4, 2, 2, 3, 4, 4, 4, 0, 3, 4, 0, 0, 2, 1, 2, 1, 2, 4, 1, 1, 1, 2, 4, 0, 0, 3, 4, 1, 3, 1, 3, 1, 0, 0, 1, 4, 1, 3, 3, 1, 1, 2, 2, 3, 2, 3, 3, 3, 1, 2, 4, 1, 0, 4, 0, 4, 1, 2, 4, 1, 1, 4, 0, 4, 2, 4, 1, 0, 1, 1, 1, 0, 3, 0, 4, 2, 0, 4, 3, 2, 4, 3]
pubkeycol949 = [3, 4, 1, 4, 3, 1, 4, 3, 4, 1, 4, 1, 1, 0, 1, 1, 3, 4, 3, 4, 2, 0, 4, 1, 0, 3, 2, 1, 4, 2, 0, 4, 0, 0, 4, 2, 0, 1, 0, 0, 3, 3, 0, 4, 3, 4, 3, 2, 1, 2, 2, 4, 2, 3, 2, 4, 0, 4, 0, 3, 0, 2, 1, 2, 0, 1, 0, 1, 3, 0, 2, 4, 1, 3, 0, 2, 1, 1, 2, 4, 3, 2, 1, 3, 1, 0, 3, 1, 3, 0, 3, 2, 2, 4, 1, 2, 1, 0, 4, 4, 1, 4, 3, 0, 3, 1, 1, 2, 3, 2, 3, 2, 4, 4, 0, 3, 2, 0, 3, 0, 1, 1, 2, 2, 3, 3, 0, 1, 4, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 4, 1, 3, 0, 0, 4, 4, 2, 2, 2, 1, 0, 4, 3, 0, 1, 3, 4, 0, 3, 1, 0, 2, 4, 3, 3, 3, 3, 1, 0, 2, 4, 0, 0, 4, 2, 2, 2, 0, 0, 1, 0, 3, 3, 2, 3, 0, 1, 2, 3, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 3, 1, 0, 0, 0, 4, 4, 0, 1, 0, 3, 1, 4, 0, 1, 3, 3, 1, 0, 3, 3, 1, 4, 2, 3, 1, 4, 2, 2, 3, 3, 2, 4, 0, 3, 4, 0, 3, 2, 0, 4, 3, 4, 3, 0, 1, 2, 4, 0, 1, 4, 0, 0, 2, 3, 1, 2, 4, 3, 3, 3, 2, 2, 1, 0, 1, 3, 1, 2, 0, 4, 1, 2, 4, 4, 2, 3, 2, 4, 4, 4, 4, 4, 2, 1, 0, 1, 1, 3, 0, 1, 3, 1, 1, 2, 2, 1, 4, 1, 3, 4, 2, 4, 0, 4, 2, 4, 0, 3, 1, 1, 4, 3, 0, 3, 1, 2, 0, 3, 4, 4, 3, 3, 0, 4, 1, 0, 4, 3, 2, 1, 2, 1, 2, 1, 4, 4, 1, 0, 2, 0, 3, 4, 1, 3, 1, 1, 4, 0, 2, 3, 0, 4, 3, 2, 1, 1, 2, 2, 1, 0, 3, 0, 2, 1, 2, 0, 4, 0, 4, 1, 3, 0, 1, 3, 0, 2, 0, 4, 2, 0, 3, 2, 1, 3, 4, 3, 1, 0, 2, 2, 2, 3, 2, 1, 1, 3, 1]
pubkeycol950 = [0, 1, 2, 2, 3, 4, 1, 2, 3, 3, 3, 4, 1, 1, 3, 1, 0, 3, 4, 4, 4, 3, 0, 0, 3, 0, 0, 4, 4, 0, 3, 1, 3, 2, 2, 3, 0, 3, 2, 2, 2, 2, 0, 0, 2, 4, 4, 2, 2, 0, 3, 2, 1, 2, 3, 4, 3, 3, 0, 4, 3, 3, 2, 4, 3, 2, 3, 2, 0, 2, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 0, 4, 2, 4, 0, 4, 3, 3, 4, 3, 3, 0, 2, 1, 2, 0, 4, 4, 3, 4, 2, 2, 1, 3, 2, 0, 4, 3, 4, 0, 1, 4, 4, 0, 2, 1, 2, 4, 2, 1, 0, 0, 1, 0, 3, 3, 0, 0, 4, 4, 2, 3, 4, 3, 3, 3, 1, 4, 4, 1, 0, 1, 0, 3, 0, 2, 2, 1, 4, 1, 3, 0, 3, 4, 2, 4, 1, 1, 4, 3, 4, 4, 4, 0, 4, 2, 0, 4, 4, 2, 4, 2, 1, 1, 4, 1, 4, 1, 4, 3, 3, 0, 3, 1, 4, 0, 4, 3, 1, 3, 0, 1, 2, 4, 4, 0, 2, 4, 1, 2, 1, 0, 3, 4, 1, 0, 3, 4, 3, 4, 0, 4, 3, 1, 1, 0, 4, 4, 0, 4, 0, 0, 1, 2, 1, 3, 0, 0, 0, 2, 3, 0, 2, 1, 2, 4, 2, 2, 2, 3, 4, 0, 1, 2, 4, 2, 1, 3, 0, 3, 0, 1, 1, 4, 4, 3, 0, 4, 2, 0, 4, 2, 1, 0, 3, 2, 4, 1, 3, 3, 4, 2, 2, 0, 2, 4, 3, 0, 3, 1, 4, 3, 2, 2, 1, 3, 3, 2, 2, 3, 2, 0, 4, 2, 1, 3, 3, 3, 0, 4, 1, 1, 2, 1, 3, 3, 1, 4, 3, 4, 2, 0, 4, 1, 1, 0, 1, 2, 0, 1, 3, 2, 4, 2, 1, 2, 4, 1, 0, 4, 0, 0, 1, 0, 0, 4, 2, 1, 1, 2, 3, 0, 0, 3, 0, 3, 4, 3, 1, 4, 0, 2, 4, 3, 0, 1, 1, 4, 0, 1, 1, 0, 3, 3, 1, 4, 3, 3, 1, 4, 1, 2, 3, 1, 0, 3, 3, 1, 1, 1, 1, 4, 0, 3, 3, 3, 2, 3, 2, 4, 3, 2, 3, 2, 3, 4, 2, 3, 0, 0]
pubkeycol951 = [0, 3, 3, 2, 3, 3, 3, 3, 4, 4, 1, 1, 4, 0, 4, 1, 4, 2, 2, 0, 1, 2, 2, 3, 2, 2, 3, 3, 2, 4, 4, 4, 2, 2, 0, 2, 2, 0, 3, 0, 3, 4, 3, 0, 0, 1, 0, 4, 4, 2, 0, 4, 4, 0, 1, 2, 1, 2, 3, 3, 4, 0, 2, 0, 4, 4, 2, 4, 4, 0, 4, 3, 4, 4, 0, 0, 0, 3, 1, 2, 0, 3, 2, 3, 1, 3, 2, 4, 3, 3, 3, 3, 0, 4, 3, 2, 2, 2, 0, 1, 2, 3, 1, 2, 4, 3, 0, 2, 2, 0, 0, 2, 1, 1, 3, 1, 2, 0, 0, 3, 1, 2, 1, 2, 4, 0, 0, 4, 0, 2, 1, 3, 0, 4, 4, 4, 4, 1, 3, 3, 1, 0, 4, 0, 4, 0, 0, 1, 3, 1, 0, 3, 2, 0, 1, 0, 0, 1, 2, 2, 1, 4, 3, 4, 0, 1, 2, 0, 1, 4, 0, 1, 4, 3, 3, 2, 1, 4, 4, 3, 4, 4, 4, 4, 0, 3, 0, 1, 4, 1, 0, 4, 2, 3, 4, 3, 4, 2, 3, 1, 3, 4, 0, 0, 4, 0, 4, 2, 3, 2, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 0, 0, 3, 3, 3, 2, 3, 1, 4, 0, 2, 0, 1, 0, 3, 0, 1, 1, 1, 1, 1, 1, 3, 0, 4, 4, 0, 0, 4, 2, 1, 3, 0, 0, 4, 2, 0, 4, 1, 2, 3, 1, 4, 3, 1, 0, 1, 1, 1, 0, 4, 4, 3, 1, 3, 4, 3, 4, 4, 3, 4, 2, 1, 4, 2, 1, 3, 3, 1, 2, 2, 0, 0, 1, 3, 1, 2, 4, 1, 4, 4, 3, 3, 4, 1, 2, 3, 1, 3, 2, 3, 0, 3, 4, 2, 4, 2, 0, 0, 1, 4, 1, 3, 2, 3, 2, 0, 2, 3, 3, 0, 3, 3, 2, 0, 2, 3, 4, 0, 3, 0, 1, 3, 4, 1, 3, 4, 3, 1, 0, 2, 3, 3, 0, 0, 3, 2, 0, 0, 2, 0, 1, 4, 1, 1, 3, 1, 4, 2, 3, 4, 0, 4, 4, 4, 3, 2, 3, 1, 3, 1, 3, 0, 2, 1, 0, 2, 4, 2, 1, 1, 0, 2, 3, 0, 4]
pubkeycol952 = [1, 1, 2, 2, 1, 4, 3, 2, 2, 1, 2, 2, 2, 4, 2, 2, 2, 1, 3, 2, 1, 0, 4, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 3, 2, 0, 3, 2, 1, 0, 3, 2, 0, 2, 2, 0, 4, 4, 3, 0, 0, 3, 1, 2, 2, 1, 4, 4, 3, 3, 4, 4, 4, 1, 1, 4, 2, 3, 3, 4, 2, 1, 4, 3, 4, 3, 2, 3, 3, 4, 2, 0, 3, 0, 4, 0, 3, 2, 2, 2, 1, 0, 1, 0, 4, 4, 0, 4, 4, 3, 3, 1, 4, 2, 2, 1, 4, 1, 4, 0, 1, 3, 1, 3, 4, 2, 1, 4, 3, 2, 2, 4, 2, 4, 1, 1, 2, 0, 1, 3, 2, 3, 1, 1, 2, 0, 3, 0, 3, 0, 2, 1, 4, 2, 4, 3, 4, 1, 4, 2, 3, 2, 0, 3, 0, 0, 1, 3, 3, 2, 3, 4, 0, 4, 1, 4, 3, 2, 1, 4, 4, 3, 3, 2, 1, 4, 4, 1, 3, 1, 4, 4, 3, 3, 4, 2, 2, 0, 4, 1, 1, 0, 4, 3, 2, 0, 1, 0, 2, 4, 4, 3, 0, 2, 3, 0, 1, 4, 4, 2, 0, 4, 4, 1, 0, 3, 2, 0, 0, 3, 3, 2, 0, 2, 0, 2, 2, 4, 1, 1, 4, 3, 4, 1, 0, 3, 2, 4, 2, 3, 1, 1, 1, 2, 0, 3, 4, 0, 3, 4, 4, 0, 4, 2, 3, 4, 0, 1, 0, 3, 2, 2, 0, 4, 0, 2, 3, 2, 4, 2, 4, 0, 1, 3, 3, 0, 3, 4, 2, 1, 3, 4, 2, 4, 1, 4, 4, 3, 0, 1, 4, 1, 2, 1, 4, 3, 1, 4, 2, 2, 4, 3, 2, 1, 4, 0, 3, 4, 2, 3, 0, 0, 3, 0, 1, 0, 1, 3, 1, 1, 3, 2, 4, 1, 1, 1, 0, 3, 3, 1, 2, 1, 0, 2, 0, 4, 3, 4, 1, 4, 1, 1, 1, 4, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 3, 4, 1, 2, 3, 0, 0, 1, 3, 2, 1, 0, 1, 4, 4, 1, 4, 0, 0, 0, 4, 1, 2, 1, 4, 0, 3, 3, 1, 0, 4, 0]
pubkeycol953 = [2, 3, 0, 1, 2, 3, 3, 3, 4, 2, 1, 0, 4, 4, 0, 1, 2, 4, 2, 2, 4, 0, 3, 2, 2, 1, 0, 0, 0, 3, 4, 2, 0, 2, 0, 1, 4, 3, 1, 2, 4, 3, 4, 4, 3, 1, 0, 1, 0, 4, 1, 2, 1, 3, 0, 0, 0, 4, 0, 2, 4, 2, 2, 0, 3, 0, 4, 2, 0, 0, 3, 4, 1, 3, 4, 4, 3, 4, 3, 0, 4, 4, 1, 2, 4, 4, 2, 2, 3, 2, 1, 2, 2, 3, 4, 4, 4, 3, 2, 2, 1, 1, 1, 0, 1, 1, 4, 2, 0, 2, 0, 1, 2, 1, 1, 0, 3, 2, 0, 4, 2, 1, 0, 4, 2, 0, 0, 1, 3, 0, 2, 4, 0, 0, 2, 0, 3, 2, 4, 0, 3, 0, 1, 0, 1, 3, 3, 2, 1, 2, 0, 1, 1, 3, 2, 4, 0, 4, 2, 1, 2, 3, 1, 0, 4, 4, 3, 0, 1, 3, 4, 2, 4, 1, 4, 2, 4, 2, 1, 0, 1, 0, 1, 0, 0, 4, 1, 3, 4, 2, 1, 4, 2, 0, 4, 4, 1, 4, 1, 4, 3, 1, 2, 0, 2, 3, 4, 1, 2, 1, 0, 0, 2, 3, 1, 2, 2, 3, 3, 4, 2, 3, 1, 3, 0, 3, 0, 1, 0, 2, 2, 0, 0, 3, 3, 2, 0, 1, 4, 4, 3, 0, 1, 3, 1, 1, 3, 3, 1, 1, 3, 2, 2, 3, 2, 0, 1, 1, 1, 0, 4, 1, 2, 4, 0, 0, 4, 0, 3, 3, 3, 4, 0, 3, 1, 0, 4, 1, 4, 0, 2, 1, 0, 3, 2, 1, 4, 1, 4, 0, 1, 4, 2, 1, 4, 4, 4, 2, 1, 3, 0, 0, 1, 3, 4, 1, 2, 3, 1, 0, 3, 0, 4, 3, 0, 4, 2, 0, 3, 1, 1, 0, 0, 3, 0, 0, 3, 2, 4, 1, 0, 4, 1, 3, 1, 0, 1, 4, 0, 4, 0, 4, 1, 1, 4, 0, 0, 2, 2, 4, 3, 1, 3, 4, 2, 0, 4, 4, 0, 4, 2, 3, 1, 2, 2, 1, 3, 1, 1, 4, 0, 3, 0, 1, 3, 0, 3, 4, 1, 3, 3, 2, 4, 3, 3, 0, 0, 4, 4, 1, 4, 4, 0, 3, 3, 0, 4, 0, 1, 2]
pubkeycol954 = [0, 3, 3, 0, 0, 0, 3, 1, 0, 1, 2, 3, 0, 1, 1, 4, 3, 1, 0, 1, 0, 0, 4, 1, 1, 2, 1, 4, 1, 1, 2, 2, 2, 3, 4, 0, 2, 1, 1, 3, 4, 1, 0, 4, 3, 4, 0, 0, 3, 1, 2, 3, 2, 2, 3, 0, 4, 4, 2, 1, 2, 4, 0, 4, 0, 1, 4, 0, 1, 3, 3, 2, 4, 1, 0, 4, 4, 4, 3, 3, 0, 0, 0, 3, 4, 3, 1, 1, 4, 3, 1, 4, 4, 0, 0, 0, 3, 4, 4, 3, 2, 4, 4, 0, 3, 0, 0, 4, 0, 1, 4, 3, 1, 3, 3, 1, 0, 0, 1, 4, 3, 4, 0, 3, 4, 4, 2, 1, 0, 4, 2, 2, 4, 2, 4, 3, 4, 3, 4, 1, 2, 2, 4, 3, 0, 4, 2, 0, 2, 2, 1, 4, 0, 3, 3, 2, 4, 2, 2, 4, 4, 0, 1, 0, 0, 1, 4, 4, 4, 0, 3, 0, 2, 1, 3, 3, 3, 3, 1, 3, 4, 1, 4, 1, 1, 1, 1, 4, 1, 1, 0, 4, 3, 3, 1, 3, 1, 3, 3, 1, 4, 0, 1, 4, 4, 0, 1, 3, 2, 3, 1, 4, 3, 3, 2, 0, 3, 2, 1, 1, 0, 2, 4, 4, 4, 3, 4, 4, 0, 4, 1, 4, 3, 0, 4, 1, 2, 3, 0, 2, 2, 4, 4, 3, 0, 3, 0, 0, 0, 4, 3, 1, 3, 4, 2, 1, 2, 4, 1, 4, 2, 0, 3, 0, 1, 4, 2, 4, 1, 4, 3, 0, 0, 3, 3, 0, 0, 4, 0, 1, 2, 0, 0, 3, 1, 3, 3, 4, 1, 0, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 3, 2, 0, 2, 2, 1, 2, 2, 0, 2, 3, 0, 3, 4, 4, 4, 4, 3, 1, 3, 4, 3, 0, 1, 2, 4, 4, 0, 3, 2, 2, 2, 3, 0, 1, 4, 0, 1, 0, 3, 0, 1, 4, 1, 1, 2, 0, 1, 2, 4, 0, 0, 0, 3, 4, 2, 2, 3, 1, 0, 3, 4, 3, 1, 4, 1, 2, 2, 1, 3, 0, 3, 2, 4, 0, 1, 3, 2, 4, 2, 1, 1, 2, 0, 2, 2, 2, 3, 3, 1, 0, 3, 1, 2, 4, 2, 1, 2, 2, 3]
pubkeycol955 = [3, 2, 2, 4, 4, 2, 0, 3, 1, 1, 3, 0, 3, 1, 1, 0, 0, 0, 4, 1, 2, 4, 1, 2, 4, 3, 1, 0, 2, 0, 3, 1, 2, 3, 1, 4, 0, 4, 4, 1, 1, 2, 3, 3, 3, 4, 1, 3, 1, 0, 4, 2, 0, 0, 0, 2, 3, 2, 1, 2, 4, 1, 4, 3, 0, 2, 3, 0, 2, 3, 4, 0, 3, 3, 1, 1, 1, 3, 3, 4, 4, 1, 0, 1, 1, 0, 1, 3, 4, 3, 0, 1, 2, 2, 3, 2, 2, 4, 4, 1, 1, 3, 4, 2, 2, 3, 4, 2, 0, 0, 1, 2, 1, 0, 3, 3, 3, 0, 3, 0, 1, 2, 2, 4, 4, 4, 3, 4, 2, 4, 2, 1, 1, 0, 3, 4, 2, 1, 3, 0, 2, 2, 2, 4, 0, 0, 4, 0, 1, 4, 3, 4, 0, 2, 2, 4, 2, 1, 1, 4, 0, 1, 1, 3, 4, 0, 0, 4, 3, 3, 4, 0, 0, 2, 3, 3, 3, 0, 2, 4, 4, 0, 0, 1, 3, 2, 0, 3, 3, 2, 1, 2, 3, 1, 2, 2, 3, 4, 1, 1, 2, 1, 2, 1, 3, 0, 2, 3, 1, 4, 2, 1, 2, 3, 1, 0, 4, 3, 0, 3, 2, 0, 4, 2, 2, 2, 1, 1, 0, 1, 0, 4, 4, 4, 1, 3, 3, 3, 3, 2, 4, 0, 0, 4, 4, 1, 1, 3, 2, 3, 2, 0, 2, 2, 4, 3, 4, 0, 1, 0, 2, 4, 1, 2, 1, 3, 1, 0, 1, 4, 2, 3, 2, 0, 4, 3, 1, 1, 4, 1, 1, 0, 2, 2, 3, 2, 3, 4, 3, 0, 0, 1, 2, 0, 0, 3, 1, 0, 3, 0, 3, 3, 2, 2, 3, 3, 2, 1, 2, 2, 3, 1, 2, 2, 4, 4, 3, 0, 4, 1, 3, 2, 3, 0, 1, 4, 1, 1, 4, 0, 0, 1, 1, 3, 1, 0, 3, 3, 0, 3, 2, 3, 2, 3, 3, 2, 1, 4, 4, 0, 3, 1, 1, 4, 2, 2, 4, 2, 2, 0, 2, 2, 4, 1, 4, 2, 2, 2, 1, 3, 0, 3, 4, 2, 4, 0, 3, 0, 4, 2, 3, 1, 3, 2, 0, 4, 0, 0, 0, 4, 3, 2, 4, 1, 2, 3, 0, 3, 1, 3]
pubkeycol956 = [3, 3, 3, 0, 3, 0, 3, 4, 3, 1, 2, 3, 2, 3, 4, 4, 3, 1, 3, 3, 4, 0, 0, 2, 0, 1, 2, 2, 4, 4, 4, 4, 0, 4, 2, 1, 3, 2, 0, 4, 1, 0, 0, 2, 1, 3, 2, 2, 4, 1, 3, 2, 4, 4, 1, 3, 0, 3, 1, 0, 3, 1, 1, 1, 0, 0, 4, 0, 3, 4, 4, 0, 3, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 4, 1, 4, 0, 0, 3, 1, 2, 3, 1, 2, 2, 3, 2, 4, 4, 1, 3, 1, 3, 1, 4, 1, 3, 0, 1, 0, 1, 2, 1, 3, 1, 4, 0, 2, 3, 3, 4, 4, 1, 1, 3, 2, 4, 1, 0, 4, 3, 1, 4, 1, 0, 2, 3, 2, 4, 3, 1, 2, 4, 2, 1, 1, 4, 4, 0, 2, 1, 4, 3, 1, 1, 1, 0, 3, 4, 4, 1, 2, 0, 4, 3, 3, 4, 3, 2, 0, 0, 3, 2, 0, 4, 1, 0, 4, 1, 3, 3, 3, 0, 4, 3, 3, 0, 3, 4, 4, 2, 1, 2, 2, 2, 4, 2, 0, 0, 4, 1, 4, 0, 0, 4, 0, 1, 0, 1, 2, 4, 3, 3, 4, 4, 4, 2, 1, 1, 2, 0, 3, 2, 0, 0, 3, 4, 1, 0, 3, 1, 3, 0, 3, 1, 1, 2, 4, 3, 1, 3, 1, 0, 0, 2, 4, 4, 0, 3, 0, 0, 1, 0, 2, 0, 2, 2, 4, 2, 1, 1, 4, 4, 0, 2, 2, 3, 2, 3, 0, 4, 4, 4, 2, 3, 3, 4, 1, 1, 0, 3, 4, 4, 4, 0, 2, 3, 4, 3, 2, 2, 2, 1, 4, 0, 2, 0, 0, 1, 0, 1, 4, 0, 0, 2, 3, 2, 1, 2, 2, 3, 1, 3, 1, 2, 0, 2, 2, 3, 0, 0, 1, 1, 4, 3, 3, 3, 4, 4, 0, 4, 2, 4, 4, 4, 1, 4, 1, 3, 1, 0, 2, 2, 2, 3, 3, 4, 1, 3, 4, 0, 2, 2, 2, 0, 2, 3, 0, 2, 4, 0, 2, 4, 3, 0, 4, 3, 2, 0, 1, 3, 3, 4, 4, 2, 0, 1, 1, 2, 1, 3, 4, 0, 1, 0, 0, 2, 1, 0, 3, 3, 2, 1, 3, 1, 1, 0, 3, 3, 4]
pubkeycol957 = [0, 3, 3, 0, 2, 1, 2, 3, 4, 3, 1, 3, 1, 2, 2, 0, 3, 1, 3, 0, 2, 4, 2, 1, 4, 4, 2, 0, 3, 3, 4, 1, 3, 1, 2, 4, 0, 0, 2, 0, 3, 2, 4, 3, 0, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 1, 4, 4, 3, 1, 0, 4, 2, 2, 2, 0, 0, 2, 4, 3, 0, 4, 4, 4, 0, 2, 0, 0, 3, 1, 1, 3, 3, 3, 4, 4, 3, 3, 4, 2, 0, 1, 4, 1, 1, 4, 4, 2, 2, 4, 2, 3, 2, 3, 3, 3, 3, 4, 4, 1, 3, 3, 0, 4, 2, 3, 3, 2, 1, 3, 3, 4, 4, 0, 4, 4, 1, 2, 2, 3, 0, 0, 3, 3, 0, 3, 3, 1, 1, 4, 0, 1, 4, 3, 4, 3, 1, 3, 4, 2, 2, 3, 3, 3, 4, 1, 4, 0, 0, 3, 1, 1, 1, 3, 1, 0, 1, 4, 2, 3, 1, 2, 1, 2, 4, 4, 0, 4, 1, 3, 3, 4, 1, 4, 2, 1, 2, 4, 1, 2, 3, 0, 0, 3, 2, 2, 4, 0, 0, 1, 4, 1, 1, 1, 3, 2, 1, 2, 1, 1, 3, 4, 3, 3, 4, 2, 4, 4, 1, 4, 4, 2, 0, 3, 2, 3, 4, 4, 2, 1, 0, 1, 2, 1, 2, 4, 4, 0, 0, 0, 3, 4, 3, 3, 4, 0, 1, 4, 3, 3, 1, 0, 1, 0, 1, 0, 2, 4, 1, 3, 0, 4, 3, 3, 1, 1, 2, 2, 4, 3, 0, 2, 4, 2, 3, 0, 2, 2, 0, 0, 1, 1, 4, 0, 0, 1, 2, 1, 4, 4, 4, 0, 4, 4, 4, 2, 2, 4, 2, 3, 0, 0, 0, 4, 0, 0, 1, 2, 4, 0, 4, 1, 1, 2, 2, 2, 4, 3, 0, 1, 3, 4, 2, 3, 2, 2, 3, 1, 3, 1, 1, 0, 0, 3, 3, 4, 4, 0, 3, 2, 4, 1, 2, 1, 4, 1, 3, 2, 1, 2, 3, 4, 4, 1, 4, 1, 1, 2, 1, 3, 4, 1, 1, 1, 4, 3, 4, 1, 4, 4, 0, 0, 1, 0, 4, 0, 3, 1, 4, 2, 4, 0, 1, 1, 3, 3, 0, 0, 3, 0, 3, 2, 4, 3, 2, 0, 3, 4]
pubkeycol958 = [1, 1, 0, 0, 4, 1, 4, 2, 1, 1, 3, 1, 0, 1, 1, 1, 2, 1, 3, 0, 4, 0, 1, 2, 3, 0, 4, 4, 2, 4, 3, 3, 0, 3, 0, 2, 2, 0, 3, 1, 2, 0, 0, 0, 1, 1, 3, 0, 0, 0, 1, 2, 0, 4, 4, 3, 2, 0, 3, 4, 0, 1, 1, 3, 4, 1, 1, 0, 4, 1, 0, 3, 0, 4, 3, 1, 2, 3, 3, 0, 3, 1, 4, 4, 0, 1, 1, 0, 3, 2, 3, 2, 4, 1, 1, 3, 0, 2, 3, 0, 2, 2, 3, 2, 3, 0, 3, 0, 0, 1, 4, 2, 1, 0, 2, 3, 4, 4, 2, 3, 0, 4, 1, 3, 2, 2, 3, 1, 2, 3, 0, 4, 3, 4, 2, 4, 2, 0, 0, 4, 0, 0, 2, 1, 4, 3, 2, 2, 4, 4, 3, 2, 4, 3, 2, 3, 2, 2, 4, 2, 1, 0, 4, 3, 2, 3, 0, 1, 4, 4, 1, 2, 2, 0, 2, 3, 0, 0, 3, 4, 2, 4, 4, 1, 1, 4, 1, 0, 4, 1, 2, 3, 4, 2, 1, 0, 0, 4, 3, 2, 3, 2, 2, 2, 4, 3, 4, 0, 1, 2, 3, 3, 1, 0, 3, 1, 2, 1, 3, 4, 3, 0, 3, 4, 2, 2, 2, 2, 1, 4, 2, 4, 4, 4, 3, 0, 2, 4, 0, 4, 1, 3, 4, 4, 4, 3, 4, 2, 4, 4, 0, 3, 3, 2, 1, 4, 3, 2, 2, 2, 0, 2, 0, 3, 3, 3, 0, 1, 3, 0, 4, 3, 1, 0, 1, 1, 2, 3, 0, 0, 0, 0, 1, 3, 2, 1, 1, 2, 4, 0, 4, 3, 1, 2, 1, 4, 3, 2, 2, 4, 4, 1, 4, 3, 3, 1, 4, 3, 4, 1, 3, 1, 2, 1, 4, 1, 0, 3, 3, 0, 2, 3, 3, 2, 1, 0, 1, 0, 0, 4, 4, 4, 4, 3, 3, 2, 0, 4, 4, 3, 0, 0, 4, 4, 0, 0, 4, 4, 3, 4, 1, 0, 3, 1, 0, 4, 2, 0, 4, 2, 1, 4, 3, 1, 3, 0, 1, 2, 3, 4, 1, 1, 2, 0, 3, 4, 4, 0, 0, 4, 0, 1, 0, 2, 2, 0, 4, 3, 3, 0, 0, 4, 1, 3, 3, 2, 3, 3, 4, 1]
pubkeycol959 = [1, 0, 2, 3, 4, 4, 1, 4, 1, 2, 4, 4, 0, 2, 1, 1, 4, 4, 2, 4, 1, 4, 2, 4, 1, 3, 2, 0, 2, 2, 2, 4, 4, 3, 1, 3, 2, 0, 3, 2, 1, 4, 2, 1, 4, 2, 1, 3, 1, 0, 2, 1, 3, 1, 1, 2, 2, 1, 1, 2, 4, 0, 1, 1, 0, 3, 4, 2, 3, 1, 1, 3, 4, 2, 0, 4, 1, 2, 0, 2, 3, 0, 1, 0, 2, 2, 2, 4, 2, 2, 4, 1, 1, 1, 1, 4, 0, 1, 2, 4, 2, 3, 0, 4, 1, 2, 1, 2, 4, 0, 3, 4, 0, 4, 0, 1, 2, 4, 3, 4, 0, 4, 3, 1, 3, 4, 3, 4, 4, 2, 3, 1, 1, 1, 4, 2, 3, 3, 2, 3, 3, 3, 0, 4, 3, 1, 3, 0, 4, 3, 4, 4, 3, 0, 1, 0, 4, 0, 1, 4, 4, 4, 4, 2, 3, 2, 0, 3, 2, 2, 0, 1, 2, 1, 4, 1, 0, 4, 1, 4, 3, 2, 3, 4, 1, 0, 2, 2, 3, 2, 3, 0, 2, 2, 1, 3, 3, 3, 0, 4, 3, 4, 3, 1, 4, 4, 2, 4, 2, 1, 3, 1, 3, 0, 2, 2, 2, 0, 4, 2, 1, 0, 3, 0, 1, 1, 3, 0, 3, 1, 4, 1, 1, 1, 2, 3, 4, 2, 0, 1, 1, 4, 2, 0, 3, 1, 4, 3, 1, 2, 3, 4, 3, 0, 1, 1, 1, 2, 0, 0, 1, 3, 1, 4, 1, 3, 2, 2, 2, 4, 2, 0, 1, 3, 1, 2, 1, 4, 0, 0, 3, 1, 3, 3, 4, 0, 1, 4, 2, 3, 0, 2, 4, 4, 4, 1, 1, 4, 2, 2, 3, 2, 1, 4, 1, 4, 1, 3, 2, 3, 3, 0, 3, 2, 2, 0, 1, 1, 4, 0, 1, 2, 1, 3, 2, 4, 1, 0, 0, 1, 0, 2, 0, 4, 4, 4, 3, 1, 0, 1, 1, 1, 4, 3, 1, 1, 1, 1, 4, 4, 3, 2, 4, 1, 2, 2, 2, 0, 2, 3, 1, 0, 1, 2, 4, 3, 0, 4, 4, 3, 2, 2, 4, 4, 0, 0, 3, 0, 4, 3, 4, 3, 3, 4, 4, 0, 4, 1, 1, 2, 4, 1, 2, 2, 1, 2, 4, 1, 2, 4]
pubkeycol960 = [4, 0, 3, 2, 4, 3, 3, 4, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 4, 3, 0, 4, 0, 3, 2, 3, 1, 1, 1, 4, 0, 0, 2, 2, 4, 3, 3, 3, 3, 3, 4, 2, 0, 2, 4, 3, 2, 1, 1, 1, 1, 1, 2, 2, 4, 1, 1, 0, 4, 0, 4, 4, 2, 0, 1, 3, 4, 4, 3, 2, 1, 4, 2, 1, 2, 4, 2, 4, 2, 2, 1, 0, 2, 4, 4, 0, 1, 2, 0, 4, 4, 1, 1, 2, 1, 2, 3, 1, 3, 4, 2, 3, 0, 4, 1, 4, 4, 3, 4, 2, 0, 4, 3, 0, 4, 2, 1, 1, 4, 4, 4, 3, 1, 2, 4, 2, 1, 2, 4, 3, 0, 2, 2, 2, 4, 0, 2, 3, 1, 1, 0, 3, 2, 1, 1, 1, 0, 1, 4, 1, 4, 3, 2, 1, 0, 1, 2, 2, 1, 2, 1, 4, 3, 2, 2, 1, 4, 4, 2, 4, 4, 2, 3, 3, 3, 2, 1, 1, 3, 1, 4, 0, 2, 2, 4, 4, 1, 2, 0, 0, 2, 1, 1, 3, 2, 1, 0, 4, 0, 1, 0, 1, 2, 2, 2, 1, 3, 3, 2, 4, 2, 3, 4, 1, 4, 0, 0, 3, 2, 4, 1, 3, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 4, 3, 0, 1, 3, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 3, 0, 2, 4, 3, 4, 2, 1, 0, 0, 3, 4, 4, 4, 0, 1, 0, 4, 1, 4, 3, 3, 3, 4, 1, 3, 0, 3, 0, 1, 0, 0, 1, 3, 0, 1, 3, 2, 3, 3, 0, 0, 0, 4, 3, 1, 4, 2, 3, 0, 0, 2, 1, 1, 3, 1, 0, 0, 2, 2, 4, 0, 1, 0, 1, 3, 1, 2, 4, 2, 2, 4, 2, 4, 3, 4, 2, 4, 4, 4, 2, 0, 1, 1, 4, 2, 4, 4, 1, 2, 0, 1, 4, 0, 1, 3, 1, 0, 2, 2, 1, 4, 2, 3, 4, 1, 3, 3, 2, 1, 4, 2, 3, 3, 3, 3, 0, 2, 0, 2, 0, 3, 1, 3, 2, 2, 4, 2, 4, 3, 3, 4, 4, 3, 1, 1, 0, 2, 3, 3, 2, 0, 2, 2, 2, 2, 3, 4, 0, 1, 4, 1, 3]
pubkeycol961 = [3, 0, 2, 1, 2, 3, 0, 0, 1, 1, 0, 2, 4, 4, 2, 0, 3, 1, 1, 0, 0, 4, 0, 0, 1, 1, 4, 2, 0, 4, 4, 0, 4, 0, 3, 3, 2, 0, 3, 0, 1, 2, 1, 1, 1, 4, 0, 2, 3, 1, 2, 2, 0, 2, 1, 1, 1, 3, 4, 3, 2, 0, 1, 1, 4, 2, 4, 3, 1, 4, 3, 0, 0, 0, 4, 1, 2, 0, 1, 0, 4, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 4, 1, 3, 2, 4, 1, 1, 4, 4, 0, 3, 2, 2, 0, 2, 3, 2, 2, 3, 1, 4, 0, 3, 2, 0, 4, 4, 1, 2, 4, 3, 1, 4, 0, 0, 4, 0, 4, 2, 3, 3, 1, 3, 3, 1, 3, 3, 0, 4, 1, 1, 4, 2, 3, 3, 1, 0, 4, 0, 4, 2, 3, 4, 0, 2, 0, 1, 3, 4, 1, 0, 2, 0, 2, 0, 1, 4, 4, 4, 0, 2, 3, 0, 2, 1, 4, 1, 1, 3, 4, 2, 3, 2, 2, 0, 2, 1, 3, 3, 3, 1, 1, 3, 4, 0, 3, 0, 1, 1, 1, 1, 0, 1, 1, 0, 4, 3, 3, 1, 4, 4, 0, 0, 3, 1, 4, 2, 3, 0, 0, 3, 3, 0, 3, 2, 0, 4, 2, 4, 0, 2, 2, 4, 3, 0, 4, 3, 0, 0, 4, 0, 3, 1, 1, 0, 2, 2, 3, 2, 1, 3, 4, 0, 3, 1, 4, 0, 3, 3, 1, 4, 0, 2, 1, 3, 4, 4, 3, 0, 2, 0, 0, 2, 1, 1, 1, 4, 1, 0, 1, 4, 4, 2, 1, 4, 3, 3, 3, 1, 1, 0, 3, 3, 0, 1, 3, 4, 2, 0, 2, 3, 2, 3, 0, 2, 1, 2, 1, 4, 3, 2, 1, 3, 2, 0, 1, 3, 3, 3, 1, 0, 1, 1, 1, 1, 1, 0, 3, 3, 3, 1, 2, 2, 3, 0, 0, 0, 4, 1, 4, 2, 2, 3, 1, 1, 4, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 4, 4, 4, 4, 3, 2, 2, 2, 1, 4, 3, 2, 4, 2, 0, 0, 4, 1, 0, 4, 4, 0, 1, 1, 2, 4, 0, 4, 2, 1, 2, 3, 3, 3, 3, 0, 1, 2, 1]
pubkeycol962 = [4, 4, 2, 3, 0, 3, 2, 0, 4, 0, 0, 3, 2, 0, 3, 4, 0, 0, 0, 1, 4, 4, 3, 1, 0, 3, 3, 1, 1, 2, 0, 3, 2, 1, 1, 3, 0, 1, 4, 4, 2, 4, 2, 3, 4, 3, 0, 2, 4, 3, 3, 3, 1, 0, 1, 4, 1, 3, 3, 1, 1, 0, 4, 2, 0, 1, 4, 0, 4, 3, 4, 1, 2, 2, 1, 3, 4, 1, 0, 0, 1, 1, 1, 4, 4, 3, 0, 0, 1, 3, 4, 0, 4, 3, 3, 3, 3, 1, 0, 4, 3, 0, 4, 4, 0, 0, 4, 2, 0, 1, 3, 2, 2, 2, 4, 2, 4, 1, 0, 0, 2, 0, 4, 4, 2, 4, 3, 3, 0, 3, 4, 0, 4, 0, 3, 4, 2, 3, 0, 2, 4, 4, 1, 1, 3, 2, 4, 3, 2, 3, 2, 4, 1, 2, 2, 2, 2, 1, 3, 4, 1, 1, 2, 3, 0, 3, 1, 4, 2, 1, 4, 0, 0, 1, 4, 2, 1, 4, 0, 1, 1, 1, 0, 0, 1, 0, 3, 3, 0, 0, 2, 4, 1, 0, 1, 0, 1, 2, 2, 4, 2, 4, 4, 2, 1, 3, 4, 3, 4, 4, 4, 4, 1, 1, 3, 2, 4, 1, 3, 3, 4, 1, 4, 4, 1, 2, 2, 2, 3, 4, 0, 3, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 3, 1, 0, 3, 2, 4, 2, 1, 3, 3, 2, 1, 3, 0, 3, 0, 4, 2, 0, 1, 4, 4, 0, 1, 1, 0, 0, 0, 1, 3, 0, 2, 3, 3, 4, 1, 2, 4, 3, 3, 4, 4, 1, 2, 3, 2, 2, 3, 1, 3, 2, 0, 0, 1, 3, 1, 1, 1, 3, 2, 0, 1, 1, 0, 3, 0, 0, 3, 3, 4, 2, 4, 1, 3, 2, 0, 3, 0, 3, 2, 2, 0, 3, 0, 4, 2, 2, 2, 0, 0, 4, 1, 3, 4, 2, 2, 3, 1, 3, 1, 1, 4, 3, 1, 3, 2, 3, 1, 2, 2, 1, 3, 3, 1, 0, 3, 3, 1, 3, 0, 4, 4, 1, 0, 2, 2, 2, 3, 2, 0, 4, 4, 1, 4, 0, 4, 0, 4, 2, 4, 1, 1, 3, 0, 3, 0, 2, 0, 2, 4, 0, 0, 0, 0, 1, 2, 3, 3]
pubkeycol963 = [1, 3, 1, 1, 0, 2, 1, 4, 3, 3, 2, 0, 3, 3, 1, 3, 2, 0, 2, 2, 2, 3, 1, 3, 2, 1, 0, 1, 2, 0, 1, 1, 0, 4, 4, 3, 3, 0, 2, 3, 2, 3, 4, 2, 1, 3, 0, 1, 0, 1, 0, 2, 4, 2, 3, 1, 2, 4, 1, 4, 2, 3, 0, 0, 4, 4, 4, 1, 2, 1, 2, 0, 1, 0, 3, 0, 4, 0, 2, 3, 1, 1, 2, 3, 4, 1, 0, 1, 2, 2, 4, 2, 2, 1, 3, 3, 0, 3, 2, 1, 0, 1, 0, 3, 1, 0, 0, 4, 0, 2, 1, 3, 1, 2, 0, 4, 2, 1, 3, 3, 0, 4, 4, 4, 1, 4, 2, 4, 3, 4, 3, 3, 2, 1, 4, 1, 0, 3, 0, 4, 2, 1, 0, 0, 1, 4, 2, 0, 1, 3, 2, 1, 4, 2, 1, 3, 4, 2, 4, 0, 4, 1, 4, 3, 4, 3, 3, 0, 3, 3, 4, 1, 3, 1, 0, 3, 2, 3, 4, 4, 2, 4, 3, 1, 4, 2, 0, 4, 0, 2, 2, 4, 1, 3, 2, 0, 1, 4, 2, 0, 3, 0, 2, 1, 0, 2, 4, 2, 4, 2, 2, 4, 4, 1, 2, 4, 2, 2, 2, 4, 3, 4, 2, 4, 4, 0, 3, 2, 1, 4, 4, 3, 0, 1, 3, 3, 2, 1, 1, 2, 0, 0, 1, 1, 2, 4, 2, 4, 0, 0, 0, 0, 1, 3, 0, 3, 3, 3, 4, 1, 0, 0, 0, 2, 4, 0, 3, 4, 3, 3, 0, 2, 2, 0, 1, 2, 1, 0, 0, 4, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 3, 3, 1, 3, 0, 0, 3, 3, 4, 2, 1, 4, 0, 4, 2, 2, 2, 4, 4, 0, 0, 1, 4, 0, 2, 3, 0, 2, 0, 1, 0, 3, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 4, 4, 1, 2, 1, 1, 4, 1, 1, 0, 4, 0, 4, 3, 2, 2, 2, 0, 0, 4, 2, 2, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 2, 1, 3, 2, 1, 1, 1, 1, 3, 0, 4, 2, 1, 3, 0, 0, 2, 2, 1, 4, 0, 0, 0, 1, 4, 3, 2, 3]
pubkeycol964 = [3, 2, 1, 4, 3, 4, 0, 3, 0, 3, 0, 4, 0, 2, 1, 2, 1, 1, 0, 1, 0, 4, 1, 0, 2, 0, 4, 3, 3, 4, 2, 3, 2, 1, 3, 2, 0, 3, 0, 1, 0, 1, 4, 4, 1, 2, 1, 4, 4, 3, 1, 2, 2, 2, 3, 0, 1, 0, 0, 2, 3, 2, 1, 4, 2, 1, 0, 1, 3, 2, 0, 2, 2, 0, 1, 0, 3, 2, 1, 2, 4, 0, 0, 0, 1, 0, 4, 0, 1, 3, 4, 3, 0, 4, 1, 3, 2, 3, 0, 2, 1, 3, 0, 2, 3, 4, 1, 2, 0, 0, 2, 4, 0, 2, 4, 3, 2, 3, 0, 0, 3, 0, 2, 2, 2, 1, 3, 2, 4, 0, 4, 3, 1, 4, 1, 1, 3, 3, 3, 2, 3, 0, 3, 1, 2, 4, 1, 0, 1, 0, 0, 3, 0, 1, 2, 1, 1, 4, 2, 3, 2, 2, 2, 0, 2, 4, 1, 1, 0, 2, 4, 1, 4, 0, 3, 3, 1, 4, 4, 3, 2, 1, 1, 1, 2, 2, 4, 1, 2, 3, 4, 4, 1, 4, 1, 0, 1, 3, 4, 0, 2, 3, 3, 0, 3, 3, 1, 1, 4, 0, 4, 1, 4, 2, 2, 3, 1, 2, 3, 4, 0, 0, 1, 1, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 3, 4, 1, 3, 2, 4, 2, 2, 0, 3, 1, 1, 4, 0, 3, 0, 0, 3, 4, 1, 0, 1, 4, 0, 2, 4, 0, 3, 1, 3, 4, 0, 2, 1, 1, 3, 1, 1, 2, 0, 0, 1, 0, 3, 1, 3, 0, 1, 1, 3, 0, 1, 1, 4, 3, 2, 1, 1, 3, 0, 3, 1, 4, 3, 1, 0, 3, 0, 1, 3, 1, 1, 1, 0, 0, 2, 4, 0, 0, 4, 1, 3, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 4, 3, 3, 4, 3, 0, 4, 1, 0, 4, 4, 4, 3, 1, 3, 1, 0, 0, 1, 0, 1, 1, 2, 0, 4, 1, 3, 2, 1, 4, 2, 3, 3, 4, 2, 4, 3, 0, 4, 2, 3, 2, 0, 4, 3, 1, 0, 0, 1, 3, 0, 1, 2, 4, 0, 1, 2, 4, 3, 3, 3, 2, 0, 1, 4, 1, 0, 2, 1, 3, 3, 2, 1, 4]
pubkeycol965 = [4, 2, 2, 3, 2, 1, 4, 4, 4, 3, 3, 4, 4, 0, 2, 4, 3, 4, 2, 3, 0, 0, 2, 0, 4, 2, 3, 0, 3, 4, 1, 2, 3, 2, 0, 2, 3, 3, 3, 2, 1, 0, 1, 0, 0, 1, 0, 4, 0, 4, 4, 2, 2, 2, 4, 1, 0, 1, 1, 3, 2, 3, 1, 0, 1, 3, 4, 4, 3, 0, 1, 3, 3, 0, 2, 3, 1, 3, 2, 1, 3, 2, 0, 2, 2, 4, 1, 1, 3, 1, 3, 3, 3, 2, 3, 2, 2, 2, 3, 0, 0, 0, 0, 2, 0, 3, 1, 2, 4, 2, 3, 0, 4, 1, 4, 0, 1, 2, 0, 4, 2, 2, 2, 4, 1, 4, 4, 2, 0, 0, 2, 1, 3, 2, 4, 3, 1, 3, 3, 1, 4, 4, 4, 2, 2, 0, 1, 3, 0, 1, 4, 2, 0, 4, 0, 1, 2, 1, 3, 3, 3, 0, 3, 0, 4, 1, 3, 2, 0, 4, 3, 2, 0, 4, 4, 1, 0, 3, 1, 2, 1, 4, 0, 4, 4, 0, 2, 3, 1, 0, 3, 1, 3, 0, 1, 4, 0, 2, 2, 4, 0, 3, 0, 2, 2, 3, 0, 4, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 4, 3, 3, 4, 4, 4, 1, 2, 2, 2, 3, 4, 2, 0, 2, 4, 1, 1, 2, 4, 4, 3, 1, 2, 0, 2, 0, 3, 2, 3, 4, 0, 4, 0, 1, 0, 2, 1, 1, 3, 0, 2, 1, 2, 4, 1, 0, 1, 0, 3, 3, 0, 1, 4, 1, 4, 2, 4, 4, 2, 1, 2, 3, 0, 2, 4, 2, 4, 2, 4, 0, 0, 4, 2, 4, 0, 1, 3, 3, 4, 1, 3, 4, 0, 0, 1, 1, 0, 4, 1, 1, 2, 3, 3, 1, 1, 2, 2, 4, 2, 0, 0, 2, 4, 3, 1, 3, 1, 3, 4, 3, 4, 2, 1, 0, 0, 0, 3, 1, 2, 1, 4, 0, 0, 3, 2, 0, 4, 0, 1, 3, 4, 0, 3, 0, 2, 0, 1, 0, 4, 1, 2, 4, 2, 1, 3, 1, 4, 0, 0, 0, 1, 1, 3, 1, 4, 2, 2, 4, 1, 1, 3, 0, 2, 2, 0, 0, 1, 0, 4, 2, 0, 4, 2, 3, 4, 1, 3, 0, 0, 3, 3]
pubkeycol966 = [4, 1, 0, 2, 3, 4, 4, 2, 1, 0, 3, 1, 4, 2, 0, 3, 4, 3, 2, 4, 2, 0, 4, 0, 3, 2, 0, 0, 1, 2, 2, 4, 2, 3, 3, 4, 0, 4, 3, 0, 1, 3, 1, 0, 2, 3, 2, 4, 1, 3, 2, 2, 3, 4, 3, 4, 2, 3, 0, 3, 3, 4, 4, 3, 4, 3, 0, 1, 3, 2, 2, 3, 4, 2, 0, 3, 3, 3, 4, 0, 4, 3, 3, 3, 3, 0, 2, 0, 0, 3, 1, 1, 3, 2, 0, 4, 4, 2, 3, 2, 0, 2, 1, 4, 0, 3, 0, 3, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 4, 2, 0, 0, 2, 1, 2, 1, 2, 3, 0, 4, 1, 2, 4, 3, 3, 1, 4, 1, 1, 4, 1, 0, 4, 4, 4, 4, 0, 1, 4, 4, 2, 2, 2, 0, 2, 0, 1, 3, 0, 0, 0, 3, 2, 2, 3, 3, 2, 2, 4, 0, 2, 1, 2, 1, 0, 2, 1, 4, 0, 4, 4, 2, 3, 0, 4, 4, 0, 1, 4, 0, 0, 4, 0, 1, 3, 3, 3, 1, 1, 2, 1, 3, 4, 1, 1, 3, 0, 1, 4, 4, 3, 3, 2, 4, 0, 3, 0, 2, 3, 4, 2, 3, 2, 0, 0, 0, 3, 2, 4, 4, 3, 3, 0, 3, 2, 4, 2, 2, 2, 4, 1, 3, 4, 0, 4, 1, 3, 4, 0, 4, 0, 0, 4, 1, 0, 1, 0, 3, 2, 4, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 3, 0, 4, 4, 4, 0, 2, 4, 0, 0, 3, 2, 0, 2, 4, 3, 0, 4, 1, 0, 4, 0, 1, 4, 0, 2, 2, 2, 0, 1, 4, 4, 4, 0, 2, 3, 1, 2, 0, 0, 1, 3, 2, 3, 4, 0, 0, 2, 1, 4, 2, 3, 4, 2, 3, 2, 3, 4, 2, 2, 1, 3, 4, 2, 4, 0, 0, 1, 2, 4, 2, 4, 0, 3, 1, 3, 0, 0, 2, 3, 3, 4, 4, 4, 3, 1, 2, 0, 3, 1, 4, 4, 0, 1, 0, 3, 2, 1, 1, 4, 4, 4, 0, 0, 4, 3, 2, 2, 3, 4, 0, 4, 2, 0, 4, 4, 2, 0, 0, 4, 4, 1, 1, 2, 1, 0, 0]
pubkeycol967 = [0, 4, 0, 2, 4, 3, 1, 0, 3, 4, 2, 1, 2, 3, 3, 0, 3, 1, 2, 3, 4, 1, 4, 4, 1, 4, 2, 0, 2, 4, 2, 3, 2, 4, 2, 2, 3, 1, 2, 1, 1, 0, 4, 3, 1, 1, 3, 4, 1, 1, 1, 2, 2, 1, 3, 2, 1, 3, 1, 2, 0, 1, 2, 3, 1, 1, 2, 3, 4, 2, 2, 4, 0, 2, 1, 2, 1, 0, 1, 3, 2, 4, 3, 0, 0, 3, 2, 2, 4, 4, 1, 0, 0, 3, 2, 1, 2, 4, 2, 0, 0, 0, 2, 4, 3, 3, 0, 1, 2, 2, 3, 3, 0, 1, 3, 0, 0, 4, 0, 3, 0, 0, 3, 4, 2, 2, 2, 0, 0, 2, 4, 4, 4, 2, 4, 3, 2, 3, 0, 4, 1, 1, 1, 1, 3, 4, 1, 2, 2, 3, 1, 0, 1, 0, 0, 0, 3, 4, 2, 4, 2, 1, 3, 1, 3, 1, 4, 4, 1, 1, 3, 3, 3, 1, 0, 2, 0, 2, 2, 0, 4, 2, 0, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 0, 0, 4, 4, 0, 4, 2, 1, 2, 1, 0, 1, 3, 2, 1, 3, 3, 4, 2, 1, 4, 2, 0, 3, 1, 2, 1, 2, 2, 4, 4, 4, 0, 4, 2, 4, 0, 4, 3, 2, 3, 4, 3, 2, 2, 4, 0, 1, 2, 3, 2, 4, 0, 3, 2, 3, 4, 0, 2, 4, 4, 3, 2, 0, 0, 0, 1, 1, 1, 4, 2, 1, 1, 3, 4, 0, 0, 1, 0, 2, 2, 4, 0, 0, 4, 2, 0, 0, 1, 3, 2, 3, 1, 2, 1, 4, 0, 1, 2, 4, 0, 0, 1, 4, 1, 0, 3, 4, 1, 0, 4, 4, 1, 4, 4, 0, 0, 3, 1, 4, 3, 4, 4, 3, 3, 1, 2, 4, 2, 1, 1, 0, 2, 3, 0, 0, 3, 1, 3, 2, 0, 2, 1, 0, 3, 0, 4, 2, 3, 3, 3, 3, 3, 2, 0, 0, 0, 0, 3, 2, 3, 1, 0, 3, 0, 2, 3, 4, 4, 0, 3, 2, 0, 0, 3, 1, 4, 0, 1, 0, 4, 2, 2, 3, 1, 3, 0, 2, 4, 0, 0, 0, 2, 1, 1, 4, 2, 1, 4, 4, 2, 4, 1, 2, 1]
pubkeycol968 = [3, 3, 3, 1, 1, 2, 0, 2, 2, 2, 2, 1, 3, 2, 1, 2, 1, 2, 3, 3, 1, 2, 1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 3, 3, 2, 0, 4, 0, 4, 1, 1, 1, 3, 2, 0, 4, 0, 1, 3, 0, 0, 1, 2, 2, 4, 1, 1, 2, 1, 2, 3, 4, 4, 2, 2, 3, 2, 0, 4, 4, 4, 3, 3, 0, 1, 0, 4, 3, 1, 4, 3, 1, 4, 0, 3, 2, 2, 1, 3, 2, 0, 1, 1, 0, 4, 2, 1, 0, 3, 3, 4, 3, 1, 3, 2, 2, 2, 3, 4, 2, 3, 4, 4, 3, 4, 4, 4, 2, 2, 1, 0, 4, 2, 0, 0, 3, 2, 3, 4, 2, 3, 4, 4, 0, 2, 3, 1, 1, 1, 2, 0, 0, 1, 0, 4, 3, 2, 0, 4, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 3, 4, 4, 1, 2, 3, 2, 4, 4, 3, 3, 0, 1, 0, 0, 1, 4, 4, 4, 2, 2, 0, 0, 2, 0, 1, 3, 1, 3, 2, 1, 3, 2, 4, 4, 3, 0, 3, 4, 1, 2, 3, 2, 0, 3, 3, 2, 4, 4, 4, 2, 3, 0, 2, 2, 2, 0, 1, 4, 4, 2, 1, 0, 2, 1, 1, 1, 1, 3, 3, 2, 2, 1, 3, 4, 2, 3, 2, 1, 4, 0, 3, 1, 1, 4, 0, 4, 4, 0, 1, 4, 4, 0, 3, 4, 2, 3, 1, 1, 0, 0, 3, 4, 2, 3, 4, 2, 3, 3, 3, 4, 4, 2, 1, 4, 4, 4, 1, 3, 3, 2, 0, 4, 0, 1, 4, 2, 2, 0, 4, 1, 1, 3, 3, 4, 1, 3, 3, 2, 1, 4, 4, 0, 1, 4, 3, 0, 3, 4, 1, 3, 0, 3, 3, 2, 1, 2, 2, 0, 0, 4, 0, 2, 2, 4, 3, 4, 4, 0, 1, 3, 2, 1, 3, 4, 0, 2, 1, 4, 0, 4, 1, 2, 1, 0, 0, 2, 0, 1, 2, 4, 4, 0, 1, 4, 2, 1, 1, 1, 2, 1, 1, 0, 3, 1, 4, 4, 1, 1, 1, 1, 1, 0, 2, 1, 4, 2, 0, 4, 0, 1, 3, 4, 4, 4, 1, 3, 0, 4, 3, 2, 4, 0, 3, 2, 3, 2, 1, 3, 4, 3]
pubkeycol969 = [1, 1, 1, 4, 1, 4, 1, 2, 1, 0, 3, 3, 2, 2, 1, 3, 0, 1, 3, 0, 3, 2, 2, 4, 1, 2, 4, 3, 0, 2, 3, 1, 3, 2, 0, 1, 4, 2, 0, 0, 3, 1, 0, 2, 3, 0, 4, 4, 1, 2, 0, 2, 3, 4, 0, 0, 1, 0, 2, 3, 2, 0, 2, 0, 0, 1, 4, 4, 0, 0, 3, 1, 1, 4, 4, 1, 4, 3, 4, 0, 0, 2, 1, 0, 2, 3, 3, 2, 0, 2, 4, 0, 3, 4, 2, 0, 3, 2, 3, 4, 2, 4, 1, 3, 3, 3, 2, 3, 3, 4, 2, 1, 3, 1, 3, 1, 1, 0, 1, 0, 0, 1, 1, 4, 1, 4, 0, 0, 4, 3, 2, 2, 0, 4, 0, 1, 3, 4, 3, 3, 2, 0, 4, 4, 0, 4, 1, 4, 2, 4, 0, 4, 1, 3, 4, 4, 3, 3, 3, 2, 1, 4, 2, 4, 4, 2, 2, 4, 2, 3, 1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 0, 0, 2, 4, 2, 4, 4, 0, 4, 1, 1, 2, 0, 3, 3, 4, 0, 1, 4, 2, 4, 2, 4, 0, 2, 1, 3, 1, 2, 0, 3, 1, 0, 4, 2, 1, 0, 1, 1, 0, 3, 2, 0, 3, 1, 4, 1, 0, 1, 2, 3, 1, 2, 0, 3, 1, 2, 1, 4, 3, 4, 3, 3, 3, 3, 2, 3, 4, 2, 3, 1, 4, 1, 4, 4, 1, 0, 1, 3, 4, 4, 2, 2, 0, 1, 0, 0, 0, 0, 3, 1, 1, 4, 1, 3, 0, 2, 1, 1, 4, 0, 0, 2, 1, 0, 1, 3, 1, 0, 3, 4, 1, 1, 0, 3, 4, 4, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 4, 1, 1, 0, 1, 3, 0, 0, 0, 0, 3, 0, 0, 4, 1, 3, 2, 0, 2, 4, 4, 3, 4, 1, 4, 0, 3, 3, 4, 0, 3, 3, 1, 4, 2, 1, 4, 3, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 4, 1, 0, 0, 3, 2, 1, 2, 0, 2, 4, 1, 2, 3, 4, 1, 4, 0, 1, 2, 1, 3, 4, 3, 0, 4, 2, 4, 1, 0, 1, 1, 4, 0, 2, 0, 4, 2, 1, 2, 3, 1, 3, 0]
pubkeycol970 = [4, 0, 3, 0, 0, 0, 3, 4, 1, 3, 1, 1, 0, 3, 4, 0, 0, 4, 0, 3, 0, 0, 1, 4, 2, 2, 1, 2, 4, 1, 0, 3, 0, 3, 2, 0, 3, 2, 1, 2, 1, 2, 1, 0, 4, 1, 4, 4, 0, 1, 0, 2, 3, 2, 3, 2, 2, 3, 2, 3, 1, 4, 0, 1, 3, 3, 4, 4, 4, 0, 3, 2, 0, 4, 4, 3, 0, 4, 2, 1, 1, 4, 1, 0, 2, 4, 1, 1, 3, 0, 1, 4, 2, 0, 2, 2, 0, 4, 4, 3, 3, 1, 3, 2, 2, 0, 4, 0, 1, 1, 4, 0, 3, 4, 3, 3, 2, 4, 1, 3, 4, 3, 3, 0, 1, 1, 1, 3, 3, 1, 0, 2, 4, 3, 3, 4, 2, 1, 4, 2, 3, 0, 1, 1, 0, 0, 2, 2, 3, 2, 4, 1, 4, 4, 1, 1, 0, 3, 2, 4, 0, 2, 1, 1, 0, 0, 2, 4, 0, 3, 2, 4, 4, 4, 1, 3, 1, 0, 4, 2, 0, 1, 4, 4, 1, 2, 0, 3, 1, 2, 2, 2, 3, 4, 2, 2, 4, 4, 4, 0, 4, 4, 3, 3, 0, 2, 0, 0, 3, 4, 0, 3, 2, 1, 4, 0, 4, 3, 0, 0, 4, 2, 2, 1, 0, 4, 4, 2, 2, 1, 0, 4, 4, 3, 0, 4, 1, 1, 1, 3, 2, 1, 3, 0, 3, 4, 0, 4, 3, 2, 3, 1, 3, 0, 1, 0, 1, 0, 2, 0, 2, 2, 3, 0, 4, 4, 1, 4, 4, 2, 3, 4, 3, 4, 2, 1, 1, 0, 3, 0, 2, 1, 3, 4, 0, 1, 2, 1, 0, 2, 0, 4, 0, 2, 1, 4, 0, 4, 3, 0, 0, 3, 0, 2, 3, 2, 3, 2, 1, 2, 1, 0, 2, 1, 1, 0, 4, 0, 0, 2, 0, 4, 3, 4, 3, 1, 4, 1, 1, 1, 3, 3, 2, 1, 3, 0, 2, 2, 4, 0, 2, 3, 4, 4, 0, 3, 2, 1, 0, 0, 1, 3, 1, 4, 1, 0, 3, 3, 4, 3, 3, 2, 1, 2, 2, 3, 1, 1, 4, 3, 4, 1, 2, 3, 3, 3, 0, 2, 3, 3, 0, 1, 4, 2, 1, 3, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 2, 4, 2, 3]
pubkeycol971 = [1, 4, 2, 1, 0, 0, 0, 0, 4, 3, 3, 4, 0, 1, 0, 1, 3, 3, 4, 4, 3, 0, 1, 3, 0, 1, 4, 1, 2, 4, 4, 1, 1, 2, 1, 3, 2, 1, 4, 4, 2, 2, 1, 3, 1, 2, 1, 4, 2, 0, 0, 0, 3, 1, 4, 4, 1, 0, 4, 0, 2, 1, 0, 3, 0, 1, 4, 2, 3, 2, 3, 0, 1, 0, 3, 1, 0, 1, 3, 4, 2, 3, 2, 2, 0, 3, 2, 3, 4, 2, 3, 2, 4, 4, 0, 4, 4, 1, 2, 2, 0, 2, 2, 0, 1, 4, 3, 2, 0, 1, 2, 2, 4, 4, 4, 3, 0, 0, 2, 2, 4, 4, 4, 3, 3, 4, 0, 0, 3, 4, 3, 3, 0, 2, 4, 0, 1, 2, 2, 4, 3, 3, 2, 1, 2, 0, 0, 3, 0, 4, 2, 4, 2, 4, 0, 4, 1, 3, 1, 3, 0, 3, 2, 3, 1, 3, 4, 4, 2, 4, 0, 4, 2, 4, 2, 0, 0, 3, 1, 1, 2, 4, 1, 2, 0, 2, 3, 4, 0, 3, 3, 0, 1, 4, 0, 4, 0, 1, 0, 1, 2, 0, 3, 1, 2, 4, 0, 4, 0, 3, 2, 1, 3, 4, 1, 2, 3, 4, 4, 2, 3, 2, 2, 4, 3, 2, 4, 1, 2, 4, 4, 3, 0, 0, 4, 0, 4, 2, 1, 1, 2, 2, 3, 3, 4, 0, 1, 0, 1, 0, 1, 1, 0, 1, 3, 0, 2, 3, 1, 3, 1, 0, 0, 2, 0, 3, 1, 2, 4, 4, 0, 4, 0, 2, 1, 0, 0, 2, 3, 1, 0, 1, 0, 3, 2, 1, 1, 2, 3, 2, 2, 3, 0, 2, 2, 0, 1, 3, 0, 3, 0, 3, 2, 0, 1, 2, 3, 3, 1, 0, 3, 0, 0, 2, 0, 3, 0, 2, 2, 1, 0, 2, 4, 2, 4, 0, 2, 1, 0, 0, 0, 1, 4, 4, 2, 2, 0, 3, 0, 1, 2, 1, 3, 3, 0, 3, 2, 3, 1, 1, 4, 1, 3, 2, 2, 3, 2, 0, 0, 2, 0, 4, 3, 0, 2, 3, 0, 3, 3, 3, 1, 2, 4, 0, 3, 3, 3, 1, 1, 0, 1, 0, 2, 3, 0, 2, 4, 3, 0, 3, 3, 0, 4, 2, 4, 1, 2, 1, 4, 2]
pubkeycol972 = [3, 3, 4, 1, 3, 1, 0, 3, 1, 1, 1, 1, 3, 1, 3, 0, 0, 2, 0, 4, 1, 4, 3, 4, 0, 4, 2, 4, 3, 1, 0, 1, 1, 1, 2, 1, 3, 1, 1, 2, 0, 3, 1, 2, 3, 2, 2, 2, 3, 1, 1, 4, 3, 3, 0, 0, 4, 4, 4, 1, 4, 2, 2, 4, 2, 4, 0, 1, 1, 3, 1, 0, 4, 4, 1, 3, 1, 0, 2, 4, 1, 0, 0, 3, 1, 0, 2, 2, 1, 3, 1, 0, 1, 1, 2, 1, 4, 2, 4, 3, 0, 3, 4, 0, 0, 4, 3, 4, 4, 2, 3, 3, 3, 2, 2, 4, 2, 4, 1, 4, 3, 4, 2, 4, 2, 1, 3, 2, 0, 4, 0, 1, 1, 3, 2, 3, 2, 1, 3, 1, 1, 1, 1, 2, 3, 4, 3, 1, 1, 4, 0, 1, 1, 2, 2, 0, 0, 1, 4, 0, 0, 3, 1, 2, 4, 0, 4, 4, 2, 1, 1, 0, 1, 0, 3, 0, 0, 4, 2, 0, 1, 4, 2, 3, 2, 2, 1, 3, 3, 1, 4, 0, 1, 1, 4, 4, 2, 1, 2, 2, 0, 2, 3, 4, 4, 2, 4, 1, 4, 4, 3, 1, 0, 1, 0, 2, 3, 3, 3, 1, 4, 0, 1, 1, 1, 1, 4, 3, 4, 1, 2, 2, 4, 0, 3, 1, 3, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 3, 1, 3, 2, 3, 1, 2, 2, 2, 0, 0, 4, 3, 2, 3, 0, 0, 4, 0, 1, 0, 0, 0, 1, 4, 2, 1, 2, 3, 3, 4, 2, 4, 1, 0, 1, 1, 1, 2, 1, 4, 4, 0, 0, 1, 2, 1, 0, 3, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 4, 3, 0, 4, 3, 2, 0, 0, 1, 3, 0, 3, 2, 4, 0, 2, 2, 1, 2, 4, 3, 1, 4, 1, 2, 3, 2, 2, 4, 3, 4, 4, 0, 1, 1, 1, 2, 1, 0, 1, 3, 0, 0, 4, 0, 1, 2, 2, 4, 0, 4, 3, 2, 4, 4, 4, 0, 0, 4, 3, 3, 2, 0, 4, 3, 2, 4, 2, 0, 4, 4, 1, 3, 4, 1, 2, 0, 1, 1, 4, 2, 2, 4, 3, 0, 3, 1, 1, 3, 1, 4, 4, 3]
pubkeycol973 = [3, 4, 1, 0, 4, 0, 1, 0, 3, 0, 1, 4, 2, 4, 0, 1, 4, 4, 4, 0, 2, 3, 1, 4, 2, 2, 1, 1, 3, 4, 4, 1, 3, 0, 2, 3, 4, 0, 0, 3, 0, 1, 1, 4, 2, 3, 2, 0, 4, 0, 3, 4, 2, 2, 1, 1, 0, 3, 1, 3, 2, 1, 3, 4, 4, 1, 2, 4, 3, 1, 4, 4, 2, 2, 1, 2, 1, 1, 0, 4, 4, 0, 3, 1, 2, 0, 3, 2, 1, 4, 4, 2, 4, 0, 0, 1, 1, 4, 1, 2, 1, 4, 0, 3, 2, 3, 4, 2, 2, 4, 0, 4, 2, 4, 0, 2, 1, 2, 2, 1, 2, 1, 1, 3, 4, 0, 2, 0, 1, 2, 3, 4, 4, 0, 4, 3, 1, 4, 1, 0, 1, 1, 0, 0, 4, 0, 3, 0, 2, 2, 4, 0, 4, 4, 2, 0, 4, 0, 4, 3, 2, 4, 0, 3, 3, 2, 2, 2, 4, 3, 4, 4, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 3, 1, 1, 3, 3, 2, 0, 2, 2, 3, 3, 4, 2, 0, 3, 1, 2, 3, 2, 1, 0, 3, 3, 0, 3, 3, 4, 3, 3, 2, 2, 3, 0, 4, 0, 2, 1, 4, 1, 4, 3, 3, 3, 0, 2, 1, 0, 4, 0, 1, 1, 1, 4, 4, 4, 3, 1, 4, 2, 2, 1, 0, 1, 2, 2, 1, 4, 3, 1, 1, 3, 1, 1, 2, 2, 4, 1, 1, 2, 0, 0, 3, 3, 0, 2, 0, 0, 2, 1, 0, 2, 3, 2, 2, 4, 4, 3, 4, 2, 1, 1, 4, 2, 0, 0, 1, 2, 0, 4, 4, 3, 1, 4, 3, 4, 3, 4, 4, 4, 1, 2, 2, 2, 3, 1, 3, 1, 1, 4, 4, 4, 4, 4, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 4, 3, 0, 2, 1, 3, 1, 4, 2, 3, 0, 3, 2, 0, 3, 2, 3, 1, 4, 2, 3, 0, 2, 2, 0, 1, 4, 4, 1, 4, 0, 2, 1, 3, 1, 2, 1, 0, 2, 3, 3, 3, 3, 0, 4, 4, 4, 2, 3, 3, 3, 1, 2, 3, 0, 2, 0, 3, 3, 3, 1, 4, 2, 0, 0, 4, 2, 2, 4, 0, 1, 3]
pubkeycol974 = [0, 2, 1, 1, 3, 3, 1, 1, 4, 0, 2, 1, 3, 3, 2, 0, 4, 0, 0, 0, 3, 2, 0, 0, 4, 4, 2, 2, 0, 4, 1, 1, 0, 2, 1, 2, 1, 4, 1, 4, 4, 3, 0, 3, 2, 0, 1, 4, 0, 1, 2, 0, 4, 3, 0, 2, 3, 1, 1, 4, 3, 3, 2, 0, 3, 0, 4, 0, 0, 3, 4, 1, 3, 2, 0, 3, 1, 3, 1, 4, 0, 3, 1, 3, 0, 0, 4, 0, 3, 2, 2, 3, 4, 2, 0, 1, 2, 1, 0, 1, 2, 2, 4, 1, 2, 4, 2, 1, 0, 3, 3, 2, 4, 2, 1, 3, 2, 4, 4, 2, 2, 4, 1, 2, 1, 2, 3, 0, 1, 1, 0, 3, 4, 2, 4, 2, 0, 0, 2, 4, 0, 4, 3, 3, 1, 1, 1, 1, 4, 3, 1, 0, 3, 0, 3, 4, 0, 3, 1, 3, 1, 2, 3, 0, 4, 2, 2, 0, 0, 3, 1, 1, 3, 0, 4, 0, 0, 4, 3, 1, 3, 0, 2, 4, 4, 0, 1, 1, 1, 2, 0, 0, 4, 4, 1, 3, 4, 1, 3, 1, 2, 3, 3, 0, 1, 1, 0, 1, 3, 1, 3, 4, 0, 3, 0, 3, 4, 0, 3, 3, 0, 0, 4, 0, 1, 3, 3, 0, 4, 2, 4, 1, 2, 3, 0, 4, 1, 0, 3, 3, 0, 3, 2, 3, 4, 2, 4, 1, 3, 4, 0, 1, 0, 3, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 4, 1, 0, 0, 2, 2, 4, 3, 2, 0, 2, 1, 1, 2, 3, 4, 2, 4, 0, 3, 4, 0, 1, 0, 4, 3, 0, 2, 2, 4, 1, 4, 3, 2, 1, 0, 4, 2, 4, 1, 0, 2, 4, 1, 1, 1, 2, 2, 0, 4, 0, 2, 4, 4, 4, 1, 0, 0, 0, 4, 2, 1, 2, 0, 4, 3, 0, 3, 2, 3, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 0, 0, 3, 1, 1, 1, 0, 2, 3, 1, 1, 1, 4, 3, 0, 4, 2, 2, 2, 1, 3, 0, 4, 4, 1, 2, 4, 3, 2, 2, 0, 1, 0, 1, 4, 4, 1, 1, 1, 2, 0, 0, 4, 0, 2, 2, 4, 1, 0, 4, 0, 2, 1, 4]
pubkeycol975 = [1, 3, 2, 4, 0, 4, 1, 1, 2, 4, 0, 3, 4, 0, 3, 4, 4, 3, 3, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 4, 3, 2, 0, 2, 3, 1, 2, 1, 3, 3, 1, 0, 2, 0, 3, 3, 0, 1, 1, 4, 0, 2, 1, 4, 1, 2, 4, 1, 1, 2, 1, 1, 4, 3, 0, 4, 3, 4, 1, 4, 1, 4, 0, 2, 4, 3, 3, 1, 2, 3, 1, 3, 0, 1, 0, 0, 2, 1, 1, 2, 2, 3, 1, 1, 1, 0, 1, 0, 0, 2, 3, 2, 0, 2, 0, 3, 2, 2, 4, 0, 4, 2, 2, 2, 0, 0, 3, 4, 4, 0, 1, 4, 1, 1, 0, 2, 0, 2, 0, 3, 1, 1, 0, 1, 2, 0, 0, 4, 0, 1, 1, 2, 1, 0, 2, 1, 4, 4, 3, 1, 1, 2, 1, 3, 3, 2, 2, 1, 1, 3, 3, 1, 0, 0, 2, 3, 4, 2, 1, 0, 3, 2, 2, 0, 0, 4, 2, 4, 0, 4, 2, 1, 3, 2, 4, 1, 1, 0, 0, 4, 3, 3, 1, 0, 4, 4, 1, 0, 2, 3, 2, 1, 2, 4, 1, 2, 1, 1, 4, 1, 3, 1, 0, 0, 0, 2, 2, 0, 0, 1, 3, 3, 4, 1, 4, 0, 1, 3, 1, 4, 1, 1, 0, 0, 1, 0, 4, 1, 4, 3, 0, 3, 0, 0, 4, 0, 4, 1, 1, 4, 3, 2, 1, 4, 0, 4, 4, 2, 4, 3, 4, 3, 4, 1, 4, 1, 1, 1, 0, 2, 1, 1, 3, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 4, 2, 1, 4, 2, 1, 0, 2, 4, 1, 0, 1, 2, 2, 4, 2, 0, 4, 0, 2, 2, 0, 0, 1, 0, 0, 1, 4, 3, 4, 3, 2, 1, 1, 1, 2, 2, 4, 0, 3, 2, 1, 2, 0, 3, 3, 0, 2, 1, 3, 4, 4, 3, 0, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 0, 4, 4, 4, 2, 2, 3, 1, 3, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 4, 3, 3, 4, 0, 4, 0, 0, 2, 3, 3, 3, 3, 3, 1, 0, 1, 3, 0, 1, 4, 3, 1, 4, 1, 0, 4, 0, 3, 1]
pubkeycol976 = [4, 4, 4, 3, 4, 4, 2, 0, 0, 0, 2, 4, 3, 2, 0, 2, 2, 0, 3, 4, 0, 2, 2, 2, 1, 2, 0, 4, 0, 3, 2, 2, 3, 4, 3, 0, 0, 3, 2, 1, 4, 4, 1, 2, 1, 1, 4, 3, 2, 3, 4, 1, 1, 3, 1, 1, 3, 0, 0, 2, 4, 3, 4, 0, 3, 0, 3, 3, 3, 4, 1, 2, 3, 2, 3, 2, 3, 1, 0, 2, 4, 1, 4, 0, 0, 3, 4, 0, 1, 2, 3, 2, 4, 3, 0, 4, 1, 1, 0, 2, 4, 4, 2, 2, 4, 0, 0, 0, 4, 0, 0, 2, 4, 3, 1, 1, 1, 3, 4, 1, 2, 1, 3, 1, 2, 4, 2, 4, 0, 0, 4, 3, 1, 4, 3, 0, 4, 3, 4, 0, 1, 1, 2, 3, 2, 0, 2, 0, 0, 4, 1, 0, 1, 2, 3, 4, 2, 1, 4, 3, 1, 2, 4, 2, 0, 3, 1, 1, 0, 1, 4, 1, 4, 4, 3, 1, 2, 2, 3, 4, 1, 1, 4, 3, 0, 2, 2, 0, 1, 3, 2, 3, 0, 1, 0, 3, 0, 4, 0, 4, 2, 2, 1, 1, 3, 3, 0, 0, 0, 2, 3, 0, 1, 3, 1, 3, 2, 4, 0, 1, 4, 0, 2, 2, 0, 2, 4, 3, 4, 4, 4, 0, 2, 3, 4, 1, 4, 0, 0, 3, 3, 1, 2, 2, 0, 1, 3, 2, 1, 0, 4, 1, 4, 1, 4, 2, 2, 3, 4, 2, 4, 1, 4, 3, 2, 4, 1, 4, 0, 2, 0, 4, 1, 0, 4, 2, 0, 2, 3, 2, 1, 1, 4, 0, 3, 3, 2, 3, 3, 3, 4, 0, 0, 0, 2, 4, 4, 4, 3, 2, 0, 0, 0, 2, 4, 1, 3, 2, 1, 0, 0, 4, 2, 0, 0, 1, 2, 3, 0, 2, 0, 3, 2, 4, 4, 2, 4, 4, 4, 2, 2, 0, 2, 1, 1, 4, 4, 4, 3, 1, 2, 2, 2, 0, 2, 2, 4, 3, 0, 2, 4, 3, 4, 4, 2, 4, 0, 0, 2, 3, 1, 2, 2, 3, 4, 2, 2, 1, 4, 4, 3, 0, 4, 3, 1, 0, 0, 2, 1, 3, 3, 2, 0, 2, 3, 1, 2, 4, 2, 2, 4, 0, 0, 4, 1, 4, 1, 0, 3, 4]
pubkeycol977 = [0, 0, 2, 1, 4, 4, 4, 1, 0, 1, 3, 1, 1, 0, 4, 0, 0, 4, 1, 0, 3, 3, 3, 0, 1, 0, 0, 2, 2, 4, 3, 0, 0, 0, 1, 3, 3, 3, 2, 2, 1, 1, 2, 4, 1, 4, 3, 4, 0, 2, 3, 2, 2, 0, 0, 2, 2, 3, 2, 1, 3, 0, 2, 0, 4, 0, 3, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 4, 4, 2, 2, 3, 0, 1, 2, 1, 3, 1, 1, 2, 2, 0, 2, 3, 2, 4, 3, 2, 0, 0, 0, 0, 2, 0, 4, 4, 2, 2, 1, 1, 1, 2, 3, 4, 0, 2, 2, 3, 1, 1, 0, 2, 1, 0, 0, 3, 2, 4, 4, 1, 3, 3, 3, 1, 1, 1, 4, 1, 2, 1, 3, 4, 3, 0, 3, 1, 0, 4, 3, 1, 3, 0, 3, 1, 3, 2, 2, 2, 2, 3, 0, 3, 1, 1, 0, 2, 1, 2, 0, 3, 2, 2, 0, 2, 1, 1, 4, 3, 0, 1, 2, 2, 1, 1, 3, 2, 4, 3, 2, 4, 4, 3, 1, 0, 0, 4, 4, 3, 3, 4, 0, 1, 2, 0, 3, 1, 0, 2, 0, 2, 2, 1, 4, 0, 2, 4, 4, 1, 0, 2, 3, 1, 0, 4, 1, 0, 1, 3, 1, 0, 3, 4, 4, 2, 0, 4, 1, 2, 4, 2, 1, 4, 1, 0, 0, 1, 2, 3, 2, 1, 0, 4, 0, 4, 3, 0, 3, 4, 2, 0, 4, 0, 1, 0, 1, 4, 1, 3, 4, 3, 1, 1, 2, 2, 4, 3, 3, 0, 0, 3, 1, 2, 4, 2, 2, 0, 0, 4, 4, 0, 0, 3, 1, 0, 1, 4, 2, 0, 4, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 4, 0, 1, 1, 1, 2, 0, 4, 2, 3, 1, 2, 0, 4, 3, 4, 2, 4, 2, 4, 0, 4, 2, 4, 2, 2, 1, 0, 1, 0, 0, 4, 0, 2, 1, 0, 2, 1, 3, 3, 4, 3, 1, 3, 1, 2, 1, 4, 4, 0, 4, 2, 1, 0, 3, 4, 3, 1, 0, 3, 2, 2, 2, 0, 2, 4, 3, 4, 4, 2, 2, 1, 2, 1, 4, 4, 0, 1, 4, 0, 2, 3, 3, 4, 2, 1, 2, 3]
pubkeycol978 = [3, 1, 4, 3, 3, 0, 4, 3, 2, 4, 4, 2, 3, 2, 3, 3, 4, 4, 4, 3, 0, 2, 2, 0, 2, 2, 4, 0, 3, 4, 2, 4, 3, 2, 2, 3, 3, 0, 3, 1, 3, 4, 1, 0, 0, 4, 1, 1, 0, 3, 2, 4, 4, 3, 2, 0, 4, 4, 3, 0, 0, 3, 2, 0, 4, 2, 4, 0, 2, 2, 4, 3, 1, 2, 3, 4, 3, 4, 3, 4, 0, 1, 0, 0, 4, 4, 1, 4, 0, 2, 0, 1, 2, 0, 1, 2, 3, 1, 4, 4, 4, 0, 1, 2, 2, 1, 4, 1, 2, 3, 2, 1, 1, 4, 2, 2, 1, 4, 0, 3, 2, 0, 1, 0, 4, 1, 0, 0, 1, 1, 4, 0, 4, 0, 0, 4, 3, 0, 3, 4, 4, 3, 0, 0, 2, 0, 4, 4, 4, 4, 3, 3, 3, 1, 3, 0, 4, 3, 3, 0, 3, 2, 3, 3, 0, 3, 0, 4, 2, 0, 2, 2, 3, 3, 4, 0, 1, 3, 1, 4, 4, 1, 4, 2, 0, 2, 3, 0, 1, 4, 0, 0, 0, 3, 1, 3, 2, 0, 1, 3, 4, 1, 0, 3, 2, 2, 1, 0, 0, 4, 0, 2, 1, 1, 0, 3, 4, 1, 1, 1, 3, 4, 3, 0, 4, 3, 0, 0, 0, 2, 0, 2, 2, 3, 2, 2, 2, 3, 2, 4, 1, 4, 4, 0, 2, 2, 3, 1, 0, 0, 0, 3, 2, 2, 4, 0, 2, 1, 1, 4, 4, 1, 1, 1, 4, 2, 2, 0, 3, 2, 0, 1, 4, 4, 3, 4, 3, 4, 3, 0, 3, 1, 3, 2, 2, 2, 2, 3, 1, 3, 3, 2, 0, 3, 4, 2, 2, 4, 0, 4, 4, 2, 1, 4, 2, 3, 3, 0, 1, 4, 3, 3, 3, 2, 4, 0, 1, 1, 4, 1, 2, 2, 4, 4, 4, 3, 2, 2, 3, 3, 0, 4, 0, 2, 0, 3, 0, 0, 2, 1, 1, 0, 2, 0, 1, 3, 0, 2, 1, 4, 2, 1, 4, 3, 0, 3, 0, 0, 0, 1, 4, 1, 2, 1, 3, 0, 1, 2, 1, 3, 3, 0, 4, 0, 2, 4, 2, 2, 4, 0, 0, 3, 2, 2, 4, 0, 3, 2, 0, 0, 4, 2, 0, 4, 3, 1, 3, 0, 4, 0]
pubkeycol979 = [0, 4, 1, 3, 3, 3, 4, 0, 3, 2, 0, 4, 3, 0, 4, 4, 4, 2, 0, 1, 2, 0, 0, 3, 4, 3, 2, 0, 0, 0, 3, 3, 1, 3, 2, 4, 4, 3, 0, 0, 2, 0, 2, 2, 4, 1, 2, 0, 4, 0, 1, 1, 1, 0, 2, 0, 2, 3, 4, 2, 0, 4, 2, 2, 1, 4, 0, 3, 2, 4, 0, 1, 2, 3, 3, 4, 0, 4, 2, 4, 4, 1, 1, 4, 0, 0, 4, 2, 1, 3, 3, 2, 0, 2, 3, 2, 2, 2, 3, 3, 2, 3, 1, 4, 1, 1, 4, 2, 0, 4, 1, 3, 2, 1, 1, 1, 1, 0, 0, 1, 0, 4, 4, 2, 2, 2, 0, 2, 2, 2, 4, 1, 0, 2, 3, 4, 2, 0, 3, 3, 0, 4, 2, 0, 1, 4, 0, 2, 2, 2, 2, 3, 1, 1, 3, 3, 4, 4, 2, 2, 3, 0, 1, 4, 4, 1, 3, 2, 4, 3, 0, 3, 2, 3, 4, 3, 1, 1, 0, 0, 0, 1, 4, 4, 2, 4, 4, 2, 3, 2, 4, 1, 1, 0, 3, 4, 0, 2, 2, 3, 1, 1, 2, 2, 1, 0, 4, 2, 4, 3, 3, 1, 3, 4, 4, 1, 3, 3, 3, 3, 3, 4, 4, 4, 1, 4, 1, 3, 2, 0, 0, 0, 3, 1, 4, 0, 2, 0, 0, 2, 3, 3, 4, 4, 0, 1, 2, 1, 2, 2, 4, 1, 2, 2, 2, 2, 3, 0, 3, 0, 1, 1, 2, 4, 3, 4, 0, 1, 4, 3, 1, 1, 0, 1, 3, 0, 0, 1, 2, 4, 0, 0, 3, 1, 1, 1, 3, 1, 0, 1, 1, 3, 1, 3, 3, 1, 4, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 4, 3, 0, 4, 0, 2, 2, 0, 3, 3, 3, 0, 4, 2, 0, 3, 1, 3, 2, 4, 1, 3, 4, 1, 1, 2, 3, 3, 1, 3, 2, 2, 3, 0, 3, 1, 2, 2, 1, 0, 3, 1, 2, 0, 0, 0, 2, 3, 4, 1, 1, 0, 4, 1, 4, 1, 0, 2, 3, 0, 1, 2, 3, 3, 1, 4, 3, 2, 0, 0, 4, 4, 0, 1, 1, 1, 4, 2, 3, 1, 4, 2, 3, 4, 3, 0, 0, 4, 4, 3, 1, 2, 3]
pubkeycol980 = [1, 2, 4, 2, 0, 1, 2, 2, 3, 2, 2, 4, 2, 2, 3, 1, 3, 3, 4, 1, 4, 2, 4, 3, 0, 3, 2, 2, 3, 4, 4, 0, 1, 1, 3, 4, 0, 0, 1, 3, 2, 0, 0, 2, 2, 3, 1, 2, 4, 4, 3, 4, 2, 1, 4, 2, 4, 1, 3, 0, 4, 0, 0, 3, 1, 4, 2, 2, 0, 1, 2, 2, 1, 3, 0, 4, 3, 1, 3, 3, 0, 4, 4, 0, 3, 4, 3, 4, 0, 3, 3, 4, 2, 3, 2, 4, 3, 3, 1, 4, 3, 4, 3, 1, 0, 2, 4, 2, 0, 1, 3, 4, 3, 0, 2, 0, 4, 4, 1, 0, 3, 3, 1, 1, 3, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 4, 0, 0, 1, 4, 0, 4, 0, 0, 4, 3, 2, 3, 4, 0, 2, 2, 3, 2, 0, 1, 0, 1, 3, 3, 4, 3, 3, 2, 2, 3, 2, 2, 3, 1, 2, 1, 1, 3, 0, 4, 4, 2, 4, 3, 4, 4, 3, 1, 3, 3, 0, 1, 1, 3, 1, 1, 1, 3, 1, 3, 3, 4, 3, 2, 3, 2, 2, 4, 4, 3, 1, 3, 1, 0, 1, 2, 2, 1, 3, 1, 0, 1, 0, 0, 4, 3, 3, 3, 1, 2, 2, 3, 1, 3, 2, 0, 2, 4, 0, 3, 1, 1, 4, 0, 2, 0, 4, 4, 4, 2, 3, 2, 3, 2, 0, 4, 1, 2, 0, 4, 3, 1, 1, 4, 2, 1, 2, 0, 1, 2, 3, 4, 2, 2, 0, 3, 3, 2, 2, 1, 3, 4, 4, 3, 0, 1, 3, 1, 0, 0, 3, 3, 3, 4, 4, 1, 3, 1, 3, 0, 4, 4, 0, 4, 4, 1, 0, 1, 2, 1, 3, 3, 4, 4, 3, 0, 0, 2, 4, 3, 2, 0, 4, 4, 0, 3, 3, 1, 1, 0, 4, 3, 2, 2, 2, 2, 2, 1, 1, 4, 1, 4, 3, 2, 4, 0, 4, 4, 2, 3, 3, 4, 4, 2, 1, 0, 2, 3, 2, 3, 1, 1, 2, 0, 2, 1, 4, 4, 4, 3, 0, 2, 4, 4, 2, 1, 3, 1, 3, 0, 2, 0, 0, 1, 3, 4, 2, 3, 2, 0, 0, 3, 4, 4, 0, 1, 2, 3, 2, 1, 2]
pubkeycol981 = [3, 0, 0, 3, 0, 1, 4, 1, 4, 1, 1, 3, 1, 0, 3, 3, 1, 4, 4, 0, 3, 3, 4, 2, 3, 0, 4, 2, 3, 0, 1, 0, 1, 1, 4, 2, 1, 3, 2, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 4, 1, 3, 0, 1, 1, 0, 3, 3, 2, 1, 0, 3, 0, 0, 3, 2, 4, 2, 4, 2, 2, 4, 4, 2, 1, 3, 2, 2, 2, 2, 4, 1, 1, 3, 0, 1, 3, 1, 0, 0, 4, 4, 3, 1, 0, 0, 1, 3, 0, 3, 0, 2, 0, 2, 0, 1, 2, 2, 4, 0, 4, 0, 4, 1, 3, 1, 1, 1, 2, 4, 2, 2, 3, 3, 0, 2, 2, 1, 1, 4, 3, 4, 1, 3, 4, 0, 1, 2, 0, 1, 4, 2, 1, 0, 2, 3, 2, 0, 2, 3, 2, 4, 3, 1, 2, 4, 4, 2, 1, 0, 2, 2, 0, 0, 3, 3, 1, 0, 1, 3, 1, 3, 1, 0, 1, 2, 4, 3, 0, 2, 4, 2, 2, 0, 2, 0, 0, 3, 0, 3, 4, 1, 1, 3, 4, 3, 4, 3, 0, 0, 2, 1, 1, 1, 0, 3, 3, 0, 4, 3, 0, 4, 4, 0, 1, 3, 4, 1, 4, 1, 1, 0, 4, 1, 3, 0, 1, 0, 4, 0, 2, 1, 4, 2, 3, 0, 0, 1, 3, 2, 2, 4, 1, 0, 4, 4, 0, 0, 0, 4, 2, 0, 1, 4, 3, 0, 4, 2, 1, 2, 1, 1, 4, 3, 0, 3, 0, 4, 0, 0, 3, 3, 3, 1, 2, 4, 0, 4, 3, 1, 1, 2, 3, 2, 4, 2, 1, 1, 1, 0, 4, 4, 2, 0, 2, 2, 0, 4, 4, 2, 3, 2, 3, 1, 4, 1, 4, 0, 3, 4, 2, 3, 4, 3, 3, 2, 4, 3, 4, 0, 1, 3, 1, 2, 4, 1, 3, 4, 1, 4, 0, 4, 2, 2, 3, 4, 4, 3, 0, 2, 3, 0, 0, 1, 1, 2, 0, 0, 4, 2, 3, 4, 1, 1, 3, 3, 2, 2, 0, 1, 4, 4, 4, 3, 4, 1, 4, 2, 4, 3, 2, 2, 2, 0, 1, 4, 2, 4, 4, 3, 2, 2, 2, 0, 2, 3, 2, 3, 1, 0, 1, 4, 3, 3, 4, 1, 2, 0, 2, 3]
pubkeycol982 = [4, 3, 3, 2, 4, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 3, 2, 2, 1, 3, 0, 4, 2, 0, 4, 3, 3, 3, 2, 0, 1, 0, 1, 1, 0, 3, 2, 0, 3, 4, 1, 0, 3, 3, 3, 3, 1, 4, 4, 2, 2, 2, 0, 1, 4, 4, 0, 4, 1, 2, 1, 0, 4, 1, 2, 0, 0, 2, 3, 0, 0, 2, 2, 1, 1, 2, 2, 4, 4, 0, 1, 4, 4, 4, 2, 3, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 4, 4, 2, 0, 0, 2, 4, 2, 2, 3, 2, 1, 0, 2, 2, 3, 4, 3, 4, 1, 4, 0, 4, 2, 4, 3, 0, 1, 2, 2, 3, 2, 1, 3, 1, 0, 3, 3, 3, 0, 2, 0, 2, 0, 4, 1, 2, 2, 0, 0, 2, 1, 2, 1, 3, 0, 2, 3, 1, 0, 3, 0, 0, 3, 1, 2, 4, 3, 2, 0, 1, 4, 0, 1, 4, 4, 2, 4, 3, 4, 3, 4, 3, 2, 0, 4, 1, 1, 2, 4, 0, 0, 4, 4, 3, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 3, 1, 1, 4, 0, 4, 3, 0, 3, 3, 0, 4, 1, 2, 0, 3, 0, 0, 0, 1, 1, 1, 1, 0, 3, 2, 2, 3, 3, 3, 3, 2, 4, 1, 1, 4, 1, 4, 4, 2, 4, 2, 0, 3, 1, 4, 2, 4, 1, 3, 2, 1, 2, 4, 1, 2, 2, 3, 2, 2, 4, 2, 0, 0, 3, 1, 0, 4, 3, 1, 2, 1, 0, 3, 1, 4, 4, 0, 2, 3, 3, 0, 2, 3, 2, 3, 3, 2, 4, 2, 0, 0, 0, 2, 2, 1, 1, 3, 0, 0, 2, 0, 4, 3, 1, 1, 3, 4, 2, 3, 1, 1, 4, 3, 4, 1, 1, 2, 1, 2, 2, 2, 0, 3, 0, 0, 0, 2, 3, 3, 2, 1, 3, 2, 0, 2, 3, 0, 4, 0, 1, 0, 4, 4, 4, 4, 1, 2, 3, 2, 4, 0, 4, 0, 4, 3, 4, 1, 2, 3, 0, 0, 2, 2, 2, 3, 4, 4, 1, 2, 2, 1, 4, 3, 2, 1, 3, 0, 0, 2, 3, 4, 2, 3, 1, 1, 1, 2, 3, 0, 2, 2, 3]
pubkeycol983 = [1, 4, 2, 0, 1, 4, 3, 4, 4, 4, 4, 1, 4, 0, 0, 2, 0, 4, 0, 4, 3, 3, 0, 4, 1, 3, 0, 0, 1, 0, 4, 3, 1, 1, 0, 1, 2, 4, 3, 4, 3, 2, 0, 0, 2, 0, 3, 2, 0, 3, 0, 2, 1, 4, 4, 1, 0, 0, 4, 0, 0, 2, 4, 0, 4, 1, 4, 3, 3, 2, 4, 4, 0, 4, 1, 4, 3, 1, 2, 0, 3, 0, 3, 1, 0, 1, 0, 1, 3, 3, 4, 2, 4, 0, 2, 1, 1, 1, 1, 0, 4, 3, 4, 4, 4, 3, 0, 4, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 4, 4, 1, 4, 0, 3, 0, 0, 1, 1, 4, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 2, 1, 4, 3, 3, 1, 1, 1, 3, 0, 4, 0, 2, 0, 4, 1, 0, 0, 2, 2, 1, 0, 1, 3, 2, 2, 3, 0, 3, 4, 3, 4, 3, 1, 0, 2, 3, 3, 4, 1, 0, 1, 4, 4, 3, 1, 2, 2, 2, 2, 4, 3, 2, 3, 2, 4, 4, 1, 4, 0, 0, 0, 1, 1, 4, 3, 0, 0, 0, 2, 1, 3, 0, 0, 0, 3, 4, 1, 2, 3, 4, 3, 3, 1, 4, 0, 1, 2, 1, 1, 1, 4, 4, 2, 2, 3, 2, 1, 2, 4, 4, 0, 1, 0, 1, 3, 4, 1, 3, 1, 0, 1, 0, 4, 4, 1, 0, 3, 2, 0, 0, 0, 1, 3, 3, 3, 1, 2, 2, 1, 2, 1, 3, 4, 1, 1, 4, 0, 1, 2, 0, 3, 3, 4, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 3, 4, 1, 3, 4, 2, 1, 1, 3, 1, 3, 1, 1, 0, 3, 1, 2, 4, 2, 0, 4, 3, 3, 1, 1, 0, 0, 4, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 3, 4, 4, 4, 3, 4, 2, 1, 4, 2, 1, 4, 1, 1, 1, 2, 2, 4, 3, 3, 4, 1, 2, 2, 4, 3, 3, 0, 4, 3, 1, 2, 0, 3, 2, 1, 3, 1, 3, 1, 2, 1, 3, 1, 0, 0, 3, 0, 0, 2, 3, 1, 1, 4, 0, 0, 0, 1, 2, 3, 4, 1, 4, 1]
pubkeycol984 = [4, 3, 0, 4, 0, 2, 1, 0, 1, 1, 0, 3, 2, 2, 4, 2, 4, 1, 1, 0, 0, 1, 3, 0, 0, 1, 3, 0, 3, 4, 0, 4, 3, 4, 4, 0, 4, 1, 2, 1, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 3, 4, 1, 2, 2, 3, 1, 3, 1, 2, 0, 2, 3, 3, 4, 2, 4, 2, 2, 4, 3, 2, 2, 0, 4, 4, 0, 2, 3, 2, 0, 4, 3, 3, 1, 2, 0, 0, 3, 2, 3, 0, 3, 1, 4, 4, 0, 2, 0, 4, 0, 1, 1, 2, 2, 3, 0, 1, 2, 0, 1, 4, 4, 0, 4, 4, 1, 3, 1, 4, 4, 1, 0, 4, 1, 2, 0, 1, 2, 2, 4, 1, 2, 3, 0, 0, 2, 4, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 4, 0, 1, 4, 4, 4, 1, 1, 0, 2, 1, 4, 4, 1, 1, 4, 1, 0, 3, 2, 2, 2, 2, 0, 4, 0, 1, 1, 3, 3, 4, 4, 3, 1, 2, 2, 0, 0, 1, 1, 4, 0, 4, 0, 3, 3, 1, 0, 4, 2, 2, 2, 3, 2, 3, 2, 4, 2, 4, 2, 2, 3, 1, 2, 0, 3, 2, 2, 2, 1, 2, 2, 4, 3, 0, 2, 2, 1, 4, 4, 0, 0, 4, 1, 2, 1, 1, 4, 4, 4, 0, 4, 3, 3, 0, 4, 3, 4, 0, 1, 1, 0, 1, 4, 4, 2, 4, 3, 3, 3, 0, 3, 1, 4, 0, 4, 4, 4, 3, 3, 1, 1, 0, 2, 0, 3, 3, 1, 2, 2, 3, 0, 2, 2, 3, 0, 0, 2, 1, 3, 4, 3, 4, 0, 4, 1, 1, 4, 4, 3, 1, 2, 0, 3, 0, 2, 1, 3, 1, 2, 0, 2, 2, 3, 1, 3, 2, 4, 0, 2, 2, 1, 4, 4, 4, 0, 3, 2, 1, 2, 4, 0, 0, 4, 1, 2, 0, 1, 3, 0, 1, 2, 0, 4, 0, 3, 0, 3, 2, 2, 4, 0, 0, 2, 2, 3, 2, 0, 4, 0, 1, 2, 3, 3, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 3, 3, 1, 2, 2, 3, 1, 3, 1, 0, 2, 4, 4, 0, 3, 3, 1, 3, 3, 1, 3, 3, 2, 3, 2]
pubkeycol985 = [3, 0, 0, 4, 0, 3, 1, 2, 3, 3, 0, 4, 4, 0, 2, 2, 4, 3, 3, 0, 2, 3, 3, 3, 2, 0, 2, 1, 3, 1, 0, 0, 0, 4, 1, 2, 0, 0, 4, 1, 3, 2, 4, 2, 3, 2, 0, 2, 3, 4, 3, 4, 4, 2, 1, 0, 0, 1, 4, 3, 2, 3, 1, 4, 4, 3, 1, 0, 2, 0, 4, 2, 1, 2, 3, 0, 4, 0, 1, 3, 4, 2, 0, 4, 2, 4, 1, 3, 2, 4, 4, 2, 0, 4, 0, 2, 0, 4, 4, 0, 3, 1, 1, 0, 4, 0, 1, 3, 3, 3, 1, 3, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 4, 3, 1, 3, 4, 3, 1, 2, 2, 0, 0, 1, 0, 4, 2, 4, 0, 3, 3, 3, 0, 2, 0, 1, 0, 3, 2, 4, 3, 2, 0, 2, 3, 3, 1, 2, 0, 4, 4, 2, 2, 2, 1, 0, 3, 0, 2, 1, 3, 3, 0, 4, 2, 1, 0, 2, 2, 2, 3, 0, 2, 4, 4, 0, 1, 2, 3, 3, 4, 2, 4, 3, 2, 0, 4, 1, 1, 2, 3, 1, 0, 3, 0, 2, 0, 3, 2, 2, 3, 4, 1, 1, 1, 4, 2, 4, 2, 4, 3, 4, 2, 2, 1, 3, 1, 2, 4, 4, 4, 1, 2, 0, 4, 3, 4, 4, 3, 0, 3, 0, 0, 3, 1, 3, 4, 2, 4, 2, 4, 0, 4, 4, 1, 4, 0, 0, 2, 1, 4, 4, 3, 1, 3, 0, 1, 1, 4, 4, 1, 2, 2, 1, 1, 2, 4, 1, 4, 1, 2, 4, 0, 4, 2, 4, 2, 1, 3, 2, 2, 2, 3, 2, 1, 4, 1, 1, 4, 2, 3, 2, 3, 4, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 4, 2, 0, 4, 4, 1, 3, 4, 4, 1, 4, 1, 4, 1, 3, 0, 3, 4, 4, 3, 3, 4, 4, 1, 1, 0, 0, 3, 2, 4, 4, 0, 3, 1, 0, 2, 0, 2, 3, 3, 3, 4, 0, 4, 4, 3, 4, 3, 1, 3, 0, 2, 4, 2, 1, 4, 1, 3, 3, 0, 2, 0, 0, 2, 2, 2, 1, 0, 4, 1, 2, 2, 1, 0, 2, 0, 3, 0, 1, 0, 4, 2]
pubkeycol986 = [1, 2, 4, 4, 1, 0, 3, 2, 4, 1, 4, 3, 0, 2, 4, 1, 4, 1, 2, 1, 1, 4, 1, 2, 0, 0, 1, 3, 3, 2, 1, 2, 0, 4, 4, 3, 1, 3, 3, 0, 4, 4, 3, 4, 1, 0, 2, 2, 1, 4, 3, 1, 2, 2, 2, 1, 0, 1, 4, 0, 2, 4, 1, 0, 4, 3, 1, 0, 0, 1, 1, 3, 0, 4, 1, 0, 0, 2, 0, 3, 3, 4, 4, 4, 3, 4, 3, 0, 3, 1, 3, 0, 0, 0, 1, 1, 1, 4, 3, 4, 0, 2, 3, 0, 0, 2, 1, 0, 1, 2, 4, 3, 3, 1, 3, 2, 4, 1, 3, 1, 3, 0, 3, 1, 0, 3, 0, 0, 2, 4, 0, 2, 4, 3, 1, 1, 1, 2, 0, 4, 1, 3, 4, 1, 4, 2, 0, 3, 3, 2, 1, 2, 1, 0, 4, 2, 1, 3, 4, 4, 1, 4, 1, 4, 2, 1, 2, 3, 4, 3, 1, 1, 0, 2, 3, 1, 4, 2, 1, 2, 3, 1, 4, 1, 1, 2, 0, 0, 2, 3, 0, 0, 2, 3, 2, 0, 3, 4, 1, 1, 3, 2, 3, 1, 1, 4, 1, 0, 3, 2, 2, 3, 1, 3, 0, 3, 2, 1, 1, 2, 4, 0, 3, 3, 1, 1, 0, 4, 2, 4, 4, 2, 3, 2, 0, 0, 1, 1, 3, 2, 1, 4, 4, 0, 2, 1, 2, 0, 0, 0, 4, 1, 2, 1, 1, 4, 2, 2, 3, 1, 0, 2, 1, 0, 4, 2, 2, 2, 3, 4, 3, 0, 1, 0, 2, 4, 4, 4, 3, 3, 2, 0, 0, 2, 1, 2, 4, 3, 2, 3, 4, 4, 4, 2, 3, 1, 3, 0, 3, 3, 4, 2, 4, 2, 3, 0, 1, 1, 1, 3, 2, 4, 3, 3, 0, 4, 2, 1, 1, 4, 2, 3, 4, 1, 2, 3, 0, 3, 0, 1, 2, 3, 4, 2, 1, 0, 4, 4, 0, 1, 4, 4, 3, 0, 2, 2, 0, 0, 0, 0, 4, 0, 1, 1, 1, 4, 2, 3, 1, 2, 0, 3, 3, 0, 2, 3, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 3, 4, 1, 2, 2, 2, 3, 1, 0, 0, 3, 2, 3, 2, 3, 1, 4, 2, 3, 4]
pubkeycol987 = [3, 0, 2, 0, 1, 0, 4, 0, 0, 0, 1, 0, 4, 3, 1, 4, 1, 2, 4, 3, 3, 2, 2, 1, 0, 3, 0, 3, 2, 4, 3, 2, 0, 3, 3, 2, 3, 4, 0, 1, 0, 4, 2, 3, 1, 2, 0, 1, 2, 3, 1, 4, 1, 2, 2, 1, 1, 4, 0, 0, 1, 0, 4, 2, 1, 4, 4, 0, 1, 3, 1, 2, 2, 3, 1, 2, 0, 0, 0, 3, 3, 3, 1, 0, 1, 3, 1, 3, 2, 3, 3, 2, 3, 2, 4, 1, 2, 1, 1, 4, 2, 3, 0, 1, 1, 3, 2, 1, 3, 2, 1, 4, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 3, 1, 0, 1, 4, 3, 4, 4, 2, 1, 2, 1, 0, 0, 0, 3, 4, 3, 3, 4, 0, 0, 3, 0, 1, 1, 2, 4, 4, 2, 3, 1, 0, 4, 2, 3, 1, 4, 1, 4, 0, 1, 3, 0, 3, 4, 0, 1, 2, 2, 0, 3, 3, 3, 2, 3, 2, 4, 4, 1, 0, 4, 1, 0, 4, 3, 3, 3, 3, 1, 2, 3, 3, 3, 2, 4, 4, 0, 0, 4, 1, 3, 3, 2, 1, 3, 3, 0, 1, 4, 0, 3, 4, 0, 0, 1, 2, 1, 3, 4, 2, 2, 3, 0, 0, 4, 4, 4, 0, 0, 1, 0, 1, 0, 2, 1, 3, 3, 0, 4, 1, 4, 3, 3, 1, 2, 3, 1, 1, 1, 0, 0, 3, 0, 3, 2, 1, 4, 2, 3, 4, 1, 3, 2, 3, 1, 1, 3, 2, 2, 0, 1, 0, 2, 4, 4, 4, 3, 4, 2, 3, 1, 0, 2, 2, 3, 0, 0, 2, 3, 1, 0, 2, 0, 1, 3, 1, 1, 3, 0, 0, 4, 3, 0, 0, 3, 3, 0, 4, 3, 3, 3, 3, 1, 4, 2, 4, 4, 2, 2, 0, 0, 1, 0, 0, 2, 3, 3, 3, 4, 2, 2, 2, 1, 4, 3, 0, 3, 1, 0, 2, 4, 0, 1, 0, 1, 4, 3, 1, 0, 4, 1, 2, 3, 1, 4, 3, 0, 3, 2, 1, 2, 4, 1, 4, 3, 4, 0, 0, 3, 0, 1, 3, 4, 3, 2, 4, 3, 2, 4, 0, 4, 2, 2, 1, 2, 3, 0, 4, 0, 2, 2, 0, 4, 4, 0]
pubkeycol988 = [4, 1, 1, 0, 1, 4, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 3, 1, 3, 3, 0, 3, 0, 4, 2, 3, 0, 2, 2, 4, 3, 4, 1, 4, 4, 1, 1, 4, 3, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 4, 3, 2, 4, 4, 3, 4, 0, 1, 3, 3, 4, 4, 4, 2, 2, 3, 3, 1, 0, 2, 1, 0, 1, 0, 1, 3, 0, 3, 2, 4, 1, 4, 4, 3, 3, 1, 0, 0, 2, 3, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 1, 4, 3, 1, 1, 3, 0, 4, 2, 0, 0, 1, 4, 2, 0, 0, 4, 3, 3, 0, 1, 2, 1, 4, 3, 4, 2, 1, 1, 0, 3, 0, 3, 1, 2, 3, 3, 0, 0, 2, 3, 3, 2, 2, 1, 2, 2, 3, 4, 3, 0, 1, 1, 1, 1, 0, 3, 2, 2, 1, 2, 0, 1, 2, 0, 3, 1, 0, 2, 2, 2, 3, 3, 4, 3, 1, 3, 4, 4, 3, 2, 2, 0, 1, 1, 1, 1, 4, 2, 3, 2, 0, 3, 2, 4, 1, 0, 1, 4, 1, 4, 3, 2, 1, 3, 1, 4, 4, 4, 4, 2, 0, 2, 0, 4, 1, 4, 1, 4, 0, 4, 3, 1, 2, 2, 4, 4, 3, 4, 1, 3, 0, 1, 3, 1, 2, 0, 4, 0, 1, 3, 0, 0, 4, 4, 0, 1, 4, 1, 1, 1, 2, 1, 4, 4, 3, 2, 1, 1, 4, 2, 3, 1, 2, 3, 2, 3, 4, 4, 2, 2, 4, 3, 2, 3, 4, 1, 0, 3, 2, 1, 4, 4, 4, 3, 4, 0, 0, 0, 1, 4, 3, 3, 1, 3, 4, 0, 3, 1, 1, 2, 1, 1, 2, 2, 4, 4, 4, 4, 2, 2, 2, 1, 1, 2, 1, 3, 0, 0, 4, 3, 1, 0, 1, 3, 2, 0, 0, 3, 4, 3, 1, 1, 3, 2, 2, 4, 0, 2, 3, 0, 0, 2, 3, 1, 2, 3, 3, 4, 1, 1, 4, 2, 1, 1, 1, 0, 1, 1, 3, 1, 2, 0, 3, 0, 4, 1, 2, 2, 1, 4, 0, 1, 4, 0, 0, 1, 4, 1, 0, 1, 3, 1, 2, 3, 2, 3, 2, 4, 4, 2, 2]
pubkeycol989 = [3, 3, 2, 3, 2, 4, 3, 0, 4, 3, 3, 1, 3, 2, 1, 2, 0, 4, 3, 1, 3, 0, 1, 2, 4, 0, 4, 0, 1, 3, 1, 1, 1, 4, 0, 1, 2, 3, 0, 4, 1, 1, 2, 0, 3, 2, 4, 3, 3, 2, 4, 0, 3, 4, 1, 3, 2, 3, 4, 1, 0, 1, 2, 3, 3, 3, 0, 1, 1, 2, 1, 4, 4, 4, 2, 1, 2, 2, 1, 3, 3, 4, 3, 0, 2, 3, 4, 1, 0, 1, 3, 1, 0, 2, 0, 0, 3, 4, 0, 4, 3, 0, 2, 0, 1, 3, 2, 0, 0, 4, 0, 2, 1, 3, 2, 4, 2, 0, 4, 3, 1, 3, 0, 2, 3, 2, 0, 0, 3, 0, 0, 3, 4, 4, 0, 4, 0, 1, 1, 2, 1, 3, 1, 1, 4, 1, 0, 3, 2, 1, 4, 3, 0, 1, 1, 1, 4, 0, 0, 0, 3, 1, 1, 2, 3, 1, 1, 0, 4, 1, 1, 2, 4, 4, 2, 1, 1, 0, 0, 1, 3, 3, 1, 4, 4, 0, 0, 4, 2, 0, 4, 0, 3, 0, 1, 1, 0, 0, 3, 3, 3, 1, 4, 3, 1, 1, 2, 3, 1, 2, 0, 2, 2, 1, 1, 4, 1, 3, 4, 0, 2, 4, 3, 2, 4, 1, 1, 3, 1, 1, 1, 4, 3, 0, 4, 0, 4, 4, 3, 2, 2, 0, 0, 4, 0, 2, 0, 1, 3, 4, 1, 1, 3, 0, 4, 2, 4, 1, 0, 1, 0, 0, 4, 1, 2, 2, 4, 3, 3, 3, 0, 4, 0, 2, 0, 2, 3, 1, 4, 0, 4, 4, 4, 1, 4, 3, 1, 3, 0, 4, 0, 4, 4, 2, 4, 2, 3, 2, 0, 0, 2, 1, 2, 0, 4, 1, 0, 0, 1, 1, 2, 1, 3, 2, 4, 2, 0, 4, 3, 3, 1, 3, 4, 0, 4, 4, 4, 4, 1, 4, 1, 3, 4, 1, 0, 1, 3, 3, 2, 4, 1, 4, 0, 0, 4, 0, 3, 1, 0, 1, 0, 2, 3, 1, 3, 4, 2, 0, 4, 0, 4, 2, 1, 1, 4, 3, 4, 0, 2, 2, 3, 1, 0, 3, 3, 0, 1, 0, 1, 3, 0, 4, 1, 1, 4, 1, 4, 0, 3, 3, 2, 1, 4, 3, 2, 0, 3, 4, 1, 1]
pubkeycol990 = [3, 2, 3, 3, 4, 3, 0, 1, 3, 4, 2, 0, 3, 4, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 3, 1, 2, 2, 1, 4, 1, 0, 3, 1, 1, 1, 3, 2, 4, 2, 4, 2, 3, 3, 4, 2, 1, 3, 4, 4, 4, 2, 1, 3, 3, 0, 2, 2, 4, 2, 1, 4, 0, 3, 4, 2, 3, 0, 1, 4, 0, 1, 4, 2, 0, 4, 0, 1, 0, 2, 2, 1, 2, 1, 2, 3, 2, 1, 1, 1, 3, 3, 4, 0, 3, 1, 2, 4, 1, 3, 2, 2, 0, 3, 4, 1, 0, 4, 4, 2, 3, 1, 3, 2, 0, 2, 2, 3, 3, 2, 2, 2, 1, 3, 1, 3, 4, 4, 4, 0, 0, 0, 2, 0, 4, 0, 0, 2, 2, 1, 2, 3, 1, 0, 4, 3, 0, 2, 0, 0, 4, 3, 3, 4, 0, 0, 1, 3, 2, 4, 2, 3, 3, 3, 1, 4, 0, 2, 3, 3, 0, 3, 1, 1, 4, 4, 0, 0, 0, 3, 2, 1, 1, 3, 4, 1, 3, 4, 1, 4, 2, 4, 1, 4, 0, 1, 0, 3, 2, 0, 4, 1, 1, 0, 4, 3, 1, 0, 0, 4, 4, 2, 0, 1, 3, 4, 2, 3, 4, 4, 3, 4, 3, 4, 4, 3, 3, 2, 4, 2, 1, 4, 2, 0, 3, 2, 4, 3, 0, 0, 0, 4, 0, 4, 4, 4, 4, 1, 3, 2, 3, 4, 0, 0, 2, 0, 0, 3, 0, 0, 1, 0, 1, 4, 1, 3, 0, 0, 4, 2, 3, 2, 2, 3, 3, 3, 4, 2, 4, 1, 1, 3, 1, 0, 1, 1, 4, 4, 2, 3, 4, 3, 1, 4, 0, 3, 2, 2, 3, 0, 2, 0, 3, 3, 4, 1, 4, 2, 3, 1, 0, 4, 1, 0, 4, 0, 2, 4, 2, 2, 2, 0, 2, 1, 1, 4, 2, 2, 1, 3, 1, 1, 1, 3, 1, 2, 0, 3, 3, 3, 4, 3, 3, 1, 2, 4, 0, 0, 1, 3, 1, 0, 3, 3, 3, 3, 3, 2, 4, 2, 4, 3, 4, 2, 3, 4, 2, 2, 3, 0, 3, 0, 2, 4, 0, 4, 4, 4, 2, 3, 4, 1, 1, 2, 4, 1, 4, 2, 2, 2, 2, 4, 3, 4, 4, 1, 0, 0, 0]
pubkeycol991 = [3, 4, 1, 1, 4, 3, 2, 3, 4, 1, 2, 1, 0, 2, 3, 3, 1, 4, 4, 4, 2, 1, 3, 0, 4, 0, 2, 2, 4, 0, 3, 1, 1, 3, 3, 1, 1, 0, 0, 4, 0, 0, 1, 3, 0, 2, 0, 3, 1, 1, 1, 0, 4, 3, 3, 4, 4, 4, 3, 1, 1, 0, 1, 1, 3, 3, 4, 0, 3, 2, 0, 4, 1, 2, 3, 4, 2, 1, 2, 1, 3, 4, 1, 3, 1, 4, 2, 1, 0, 4, 4, 2, 1, 4, 3, 2, 3, 0, 0, 3, 4, 2, 3, 0, 3, 4, 1, 1, 0, 1, 1, 3, 0, 1, 1, 4, 0, 3, 0, 4, 2, 2, 1, 4, 3, 4, 3, 1, 2, 0, 1, 4, 3, 0, 3, 0, 0, 0, 3, 4, 1, 4, 2, 0, 3, 4, 1, 1, 2, 3, 4, 3, 0, 2, 0, 4, 3, 0, 3, 4, 4, 0, 0, 0, 0, 3, 1, 1, 3, 1, 1, 0, 3, 2, 2, 3, 2, 2, 1, 4, 3, 1, 3, 2, 2, 0, 3, 3, 3, 3, 4, 4, 3, 4, 1, 0, 4, 1, 0, 1, 2, 3, 2, 0, 3, 4, 1, 4, 2, 1, 3, 1, 4, 1, 2, 3, 0, 1, 3, 1, 0, 0, 2, 3, 1, 2, 1, 4, 0, 2, 0, 2, 1, 4, 4, 2, 3, 4, 4, 4, 2, 0, 4, 4, 4, 1, 3, 0, 4, 3, 3, 3, 2, 4, 0, 1, 1, 0, 1, 4, 2, 4, 1, 1, 3, 4, 3, 4, 1, 2, 1, 1, 3, 4, 1, 1, 0, 0, 0, 4, 3, 3, 0, 3, 4, 4, 2, 3, 2, 3, 0, 3, 0, 2, 1, 0, 1, 4, 2, 0, 4, 0, 2, 0, 1, 0, 1, 0, 3, 3, 2, 4, 0, 3, 2, 1, 3, 2, 0, 2, 0, 1, 4, 0, 3, 2, 3, 0, 3, 1, 3, 4, 2, 3, 1, 3, 3, 1, 4, 2, 3, 1, 4, 4, 0, 2, 1, 2, 3, 2, 1, 1, 3, 4, 1, 0, 3, 2, 3, 2, 2, 0, 4, 1, 4, 2, 3, 4, 1, 4, 4, 3, 1, 2, 2, 4, 0, 4, 3, 0, 2, 4, 4, 2, 4, 2, 4, 1, 2, 1, 2, 4, 4, 3, 4, 3, 1, 2, 0, 4]
pubkeycol992 = [1, 1, 1, 0, 3, 0, 1, 4, 1, 0, 0, 4, 4, 4, 0, 1, 1, 2, 3, 2, 3, 1, 1, 4, 2, 2, 3, 0, 2, 1, 3, 1, 3, 1, 0, 4, 0, 1, 4, 0, 3, 0, 4, 0, 4, 2, 3, 0, 1, 1, 1, 4, 3, 4, 1, 3, 3, 2, 0, 0, 2, 0, 3, 4, 1, 1, 3, 2, 2, 1, 2, 1, 0, 3, 2, 2, 0, 1, 1, 4, 4, 3, 2, 3, 4, 2, 0, 2, 3, 0, 3, 2, 3, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 3, 3, 1, 4, 1, 3, 4, 4, 4, 2, 4, 3, 3, 1, 2, 4, 1, 1, 0, 1, 1, 3, 0, 4, 1, 1, 0, 3, 4, 2, 1, 1, 4, 3, 2, 2, 4, 3, 0, 1, 2, 3, 1, 1, 1, 3, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 3, 1, 0, 0, 4, 4, 2, 1, 3, 2, 0, 1, 2, 2, 3, 4, 0, 0, 2, 1, 1, 1, 0, 0, 1, 3, 4, 0, 3, 2, 4, 4, 3, 2, 0, 0, 1, 2, 2, 4, 0, 3, 3, 0, 0, 4, 0, 1, 4, 1, 0, 2, 4, 3, 2, 2, 4, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 3, 4, 2, 4, 4, 2, 0, 0, 3, 4, 0, 1, 4, 1, 2, 3, 2, 2, 4, 4, 1, 4, 2, 0, 1, 4, 4, 1, 4, 0, 4, 1, 4, 0, 3, 2, 0, 1, 1, 4, 0, 3, 0, 2, 2, 4, 1, 3, 2, 0, 1, 0, 4, 2, 0, 0, 1, 4, 1, 2, 1, 3, 4, 1, 2, 0, 0, 4, 4, 1, 1, 2, 2, 2, 2, 1, 0, 3, 0, 4, 0, 1, 4, 2, 1, 3, 3, 0, 1, 0, 1, 4, 1, 2, 0, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 1, 3, 4, 3, 3, 2, 4, 2, 2, 2, 3, 4, 0, 0, 0, 1, 4, 3, 2, 4, 4, 2, 3, 3, 1, 0, 3, 1, 0, 4, 3, 2, 1, 3, 1, 1, 4, 4, 0, 0, 0, 0, 4, 3, 0, 4, 2, 2, 2, 3, 3, 0, 1, 1, 1]
pubkeycol993 = [1, 3, 4, 0, 1, 3, 2, 0, 2, 3, 2, 0, 3, 0, 2, 4, 0, 0, 1, 1, 1, 3, 0, 1, 3, 1, 1, 2, 2, 1, 4, 4, 4, 2, 4, 2, 1, 2, 0, 3, 1, 2, 4, 0, 3, 2, 4, 2, 0, 0, 1, 3, 3, 1, 2, 2, 3, 3, 4, 1, 3, 1, 3, 1, 0, 3, 4, 4, 3, 1, 1, 2, 3, 3, 1, 2, 0, 2, 1, 1, 3, 1, 3, 0, 0, 1, 0, 3, 2, 0, 1, 4, 1, 0, 1, 3, 3, 2, 1, 2, 1, 0, 3, 3, 0, 3, 4, 4, 3, 3, 0, 0, 3, 1, 1, 0, 1, 3, 2, 4, 1, 4, 0, 2, 1, 4, 0, 3, 3, 1, 1, 0, 1, 0, 0, 2, 1, 0, 4, 0, 1, 2, 1, 4, 3, 0, 0, 2, 4, 2, 3, 1, 1, 3, 0, 3, 3, 2, 4, 3, 0, 4, 3, 3, 2, 0, 1, 3, 0, 1, 4, 4, 2, 1, 0, 4, 4, 1, 3, 2, 0, 1, 4, 0, 0, 0, 3, 4, 3, 0, 1, 3, 1, 0, 4, 2, 0, 2, 2, 0, 4, 0, 1, 2, 0, 1, 2, 2, 1, 3, 3, 3, 3, 3, 4, 0, 3, 0, 1, 2, 1, 3, 2, 0, 4, 1, 2, 2, 1, 4, 0, 4, 0, 4, 0, 4, 3, 3, 0, 3, 2, 3, 2, 1, 3, 3, 4, 1, 1, 0, 0, 0, 4, 0, 3, 4, 0, 0, 4, 4, 4, 1, 2, 1, 0, 1, 1, 3, 4, 4, 4, 2, 1, 1, 0, 4, 2, 2, 2, 0, 1, 4, 3, 2, 3, 4, 3, 2, 1, 1, 4, 3, 4, 0, 0, 3, 0, 2, 4, 4, 0, 2, 1, 3, 4, 4, 0, 4, 3, 1, 1, 1, 0, 2, 2, 1, 3, 3, 0, 4, 4, 1, 0, 4, 4, 0, 4, 2, 0, 3, 0, 0, 1, 3, 3, 1, 0, 0, 2, 0, 2, 3, 4, 1, 4, 3, 1, 1, 0, 4, 1, 4, 4, 1, 1, 3, 4, 3, 4, 4, 3, 2, 3, 4, 1, 3, 3, 0, 0, 0, 3, 1, 2, 3, 1, 4, 2, 0, 1, 4, 3, 0, 4, 0, 1, 0, 1, 1, 0, 4, 4, 3, 2, 0, 2, 4, 1, 1, 2, 0]
pubkeycol994 = [2, 4, 2, 1, 1, 3, 4, 3, 2, 2, 0, 2, 4, 4, 1, 4, 4, 1, 0, 0, 4, 2, 0, 3, 3, 0, 2, 4, 2, 1, 3, 4, 4, 4, 2, 1, 0, 4, 1, 1, 3, 0, 4, 3, 4, 1, 2, 2, 2, 2, 1, 4, 4, 1, 2, 3, 2, 1, 0, 3, 2, 1, 4, 1, 0, 3, 3, 3, 3, 4, 1, 1, 1, 2, 3, 1, 0, 0, 2, 2, 1, 2, 0, 4, 1, 0, 4, 1, 3, 0, 0, 4, 2, 2, 1, 3, 0, 2, 3, 4, 4, 4, 3, 2, 2, 4, 2, 0, 2, 2, 1, 4, 4, 4, 3, 0, 2, 4, 1, 1, 3, 1, 3, 4, 0, 3, 2, 4, 2, 3, 3, 4, 2, 3, 4, 4, 1, 2, 1, 3, 1, 3, 1, 4, 4, 0, 4, 2, 1, 0, 3, 2, 1, 4, 2, 4, 1, 4, 0, 0, 1, 4, 1, 1, 2, 3, 1, 2, 0, 2, 3, 0, 1, 2, 4, 0, 0, 4, 4, 1, 1, 4, 4, 3, 3, 4, 1, 4, 4, 2, 0, 3, 2, 0, 2, 4, 1, 1, 3, 2, 2, 2, 4, 2, 3, 1, 1, 1, 3, 0, 3, 4, 4, 0, 4, 0, 0, 0, 0, 1, 1, 0, 4, 1, 0, 4, 0, 4, 3, 2, 2, 0, 4, 0, 4, 1, 2, 4, 1, 3, 1, 3, 2, 0, 0, 3, 4, 0, 4, 0, 3, 4, 4, 2, 2, 3, 1, 1, 0, 1, 2, 2, 4, 0, 0, 3, 3, 2, 2, 2, 0, 1, 4, 0, 0, 1, 0, 3, 4, 0, 3, 2, 1, 3, 3, 0, 0, 4, 2, 1, 0, 3, 3, 4, 0, 4, 3, 3, 2, 2, 0, 2, 4, 1, 2, 4, 2, 2, 1, 3, 1, 1, 2, 1, 1, 1, 3, 3, 0, 4, 4, 3, 1, 0, 1, 4, 0, 4, 0, 3, 3, 2, 2, 4, 0, 2, 4, 3, 4, 1, 2, 0, 1, 1, 1, 1, 2, 4, 2, 0, 2, 0, 3, 1, 2, 0, 1, 0, 3, 2, 1, 3, 2, 3, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 4, 4, 0, 2, 1, 1, 0, 2, 0, 4, 0, 0, 2, 0, 1, 2, 3, 4, 4, 2, 1, 0, 3, 4, 4, 2]
pubkeycol995 = [2, 4, 4, 2, 0, 1, 1, 4, 1, 3, 3, 4, 2, 4, 3, 0, 0, 2, 4, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 3, 0, 1, 3, 0, 2, 0, 3, 4, 3, 2, 1, 1, 1, 4, 4, 0, 2, 1, 1, 1, 2, 1, 0, 4, 2, 4, 3, 3, 2, 1, 2, 0, 2, 0, 2, 3, 1, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 1, 0, 2, 3, 4, 2, 1, 0, 4, 4, 2, 3, 1, 2, 3, 2, 0, 1, 0, 3, 2, 0, 3, 0, 0, 0, 4, 1, 1, 4, 2, 3, 1, 1, 0, 0, 1, 2, 2, 3, 3, 1, 4, 3, 2, 4, 2, 3, 3, 2, 1, 2, 0, 2, 0, 3, 0, 0, 0, 2, 3, 1, 1, 1, 2, 0, 3, 4, 4, 2, 4, 1, 1, 2, 1, 1, 4, 2, 1, 0, 3, 2, 0, 1, 3, 4, 2, 1, 4, 1, 3, 3, 4, 1, 2, 0, 2, 0, 2, 1, 4, 2, 0, 4, 1, 0, 1, 1, 2, 4, 1, 1, 2, 3, 0, 1, 1, 4, 3, 1, 1, 0, 4, 3, 1, 2, 3, 1, 0, 2, 2, 4, 1, 2, 1, 3, 0, 3, 1, 0, 2, 1, 1, 2, 3, 2, 4, 3, 4, 1, 3, 2, 0, 0, 1, 2, 2, 2, 4, 3, 0, 1, 4, 3, 1, 0, 3, 3, 2, 2, 3, 2, 0, 0, 3, 4, 4, 2, 4, 1, 1, 3, 4, 3, 0, 0, 2, 1, 4, 0, 4, 0, 3, 4, 3, 1, 4, 0, 1, 0, 0, 0, 4, 1, 0, 1, 2, 0, 3, 2, 2, 0, 1, 3, 1, 2, 2, 4, 1, 0, 4, 0, 4, 2, 1, 1, 1, 1, 4, 2, 1, 3, 2, 1, 0, 4, 0, 2, 1, 3, 0, 1, 4, 2, 3, 0, 2, 2, 0, 4, 3, 1, 3, 0, 3, 3, 0, 1, 4, 1, 0, 0, 2, 3, 2, 1, 2, 4, 2, 3, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 1, 1, 3, 0, 2, 3, 2, 2, 3, 1, 2, 3, 0, 1, 0, 1, 3, 2, 1, 2, 1, 4, 0, 2, 0, 1, 4, 3, 0, 2, 2, 2, 4, 0, 4, 3, 0, 3, 0, 0, 1]
pubkeycol996 = [0, 1, 2, 3, 2, 0, 1, 1, 3, 2, 3, 2, 4, 1, 2, 4, 1, 1, 0, 2, 3, 4, 0, 4, 1, 4, 3, 2, 3, 1, 1, 0, 2, 3, 2, 1, 3, 2, 3, 1, 0, 4, 0, 4, 1, 2, 3, 3, 3, 3, 3, 4, 1, 3, 2, 1, 4, 2, 4, 1, 0, 0, 0, 3, 0, 0, 1, 1, 0, 3, 2, 3, 1, 0, 4, 4, 2, 0, 2, 1, 0, 2, 0, 0, 4, 2, 0, 2, 3, 3, 0, 3, 4, 4, 4, 1, 1, 3, 2, 3, 3, 1, 3, 2, 1, 4, 4, 2, 4, 2, 2, 2, 1, 2, 3, 1, 2, 1, 1, 0, 1, 2, 1, 3, 3, 2, 2, 1, 1, 2, 3, 2, 4, 4, 0, 4, 3, 0, 2, 2, 3, 2, 2, 4, 4, 1, 0, 3, 4, 0, 4, 1, 3, 1, 1, 2, 1, 4, 4, 2, 1, 0, 4, 4, 3, 1, 0, 0, 2, 2, 3, 4, 1, 1, 1, 0, 3, 4, 1, 4, 4, 1, 3, 0, 3, 2, 4, 3, 0, 4, 0, 2, 1, 1, 2, 2, 2, 3, 0, 2, 1, 3, 4, 2, 0, 3, 3, 4, 2, 0, 2, 1, 1, 0, 0, 1, 1, 4, 4, 4, 1, 3, 3, 4, 4, 2, 4, 2, 2, 4, 1, 2, 3, 3, 0, 1, 2, 1, 0, 3, 4, 0, 1, 3, 3, 0, 2, 1, 2, 3, 0, 4, 0, 3, 0, 2, 2, 1, 3, 3, 4, 4, 4, 1, 3, 3, 4, 3, 2, 2, 0, 2, 0, 0, 1, 3, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 3, 4, 0, 2, 3, 3, 4, 3, 1, 0, 4, 1, 0, 2, 0, 2, 1, 3, 4, 0, 4, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 4, 4, 2, 3, 3, 1, 0, 1, 2, 1, 3, 0, 4, 3, 0, 4, 4, 4, 0, 1, 2, 3, 2, 4, 4, 0, 2, 2, 4, 4, 0, 0, 3, 4, 0, 3, 0, 4, 1, 1, 0, 2, 0, 0, 4, 1, 4, 0, 1, 3, 2, 1, 1, 2, 1, 4, 2, 3, 1, 0, 0, 3, 4, 3, 3, 0, 3, 3, 4, 0, 4, 4, 2, 3, 0, 3, 0, 3, 3, 2, 1, 0]
pubkeycol997 = [2, 4, 4, 2, 4, 2, 2, 1, 3, 0, 1, 4, 2, 2, 4, 4, 2, 3, 0, 2, 1, 1, 0, 3, 3, 0, 1, 3, 0, 3, 4, 3, 4, 4, 3, 4, 4, 0, 1, 3, 4, 4, 2, 0, 4, 0, 0, 3, 1, 4, 4, 2, 1, 3, 3, 4, 2, 4, 0, 4, 3, 3, 0, 3, 3, 3, 0, 3, 1, 4, 3, 3, 1, 2, 3, 0, 2, 4, 1, 1, 3, 1, 1, 1, 2, 0, 1, 1, 4, 2, 1, 4, 0, 3, 4, 1, 2, 1, 0, 3, 0, 0, 4, 1, 0, 3, 0, 2, 2, 3, 2, 3, 1, 0, 4, 0, 0, 1, 1, 0, 4, 3, 2, 4, 0, 1, 1, 4, 4, 4, 0, 4, 3, 4, 2, 1, 3, 3, 4, 3, 0, 0, 1, 2, 2, 4, 1, 2, 0, 4, 2, 0, 2, 0, 2, 4, 1, 2, 2, 0, 3, 2, 3, 2, 3, 1, 3, 2, 1, 3, 3, 1, 4, 4, 2, 1, 4, 3, 4, 2, 1, 3, 2, 3, 4, 1, 4, 4, 1, 1, 1, 0, 2, 1, 3, 1, 1, 0, 4, 4, 1, 3, 3, 1, 2, 3, 1, 4, 0, 1, 2, 3, 2, 1, 4, 0, 4, 3, 2, 1, 4, 4, 0, 2, 0, 4, 3, 0, 2, 1, 1, 2, 1, 3, 4, 3, 0, 2, 0, 0, 2, 4, 1, 3, 4, 2, 2, 2, 1, 1, 2, 3, 4, 2, 2, 3, 2, 2, 3, 0, 3, 3, 3, 0, 4, 0, 1, 3, 3, 1, 3, 4, 0, 0, 2, 3, 0, 3, 4, 0, 2, 4, 1, 3, 3, 1, 3, 2, 2, 4, 3, 0, 1, 0, 4, 0, 3, 2, 1, 0, 1, 3, 2, 3, 2, 1, 0, 0, 3, 4, 4, 0, 3, 2, 4, 2, 3, 0, 0, 4, 0, 4, 3, 3, 1, 4, 0, 4, 3, 0, 4, 4, 2, 4, 0, 0, 2, 3, 0, 1, 1, 4, 0, 2, 3, 0, 4, 4, 4, 0, 1, 4, 1, 3, 0, 4, 1, 4, 0, 3, 3, 1, 1, 0, 0, 1, 4, 0, 2, 1, 4, 1, 1, 2, 2, 3, 0, 3, 0, 4, 3, 0, 3, 4, 1, 4, 1, 2, 2, 3, 2, 1, 4, 0, 1, 4, 1, 2, 2, 3]
pubkeycol998 = [1, 0, 0, 0, 3, 1, 0, 3, 0, 4, 3, 2, 0, 1, 2, 1, 0, 3, 1, 4, 1, 0, 2, 4, 3, 3, 3, 3, 2, 4, 0, 3, 2, 0, 1, 1, 0, 4, 3, 0, 2, 2, 3, 0, 0, 3, 1, 3, 0, 3, 0, 2, 0, 4, 3, 0, 4, 2, 0, 2, 0, 1, 4, 2, 3, 1, 4, 2, 0, 2, 4, 4, 4, 0, 1, 3, 4, 3, 2, 3, 3, 3, 2, 3, 1, 2, 0, 2, 0, 4, 2, 4, 1, 0, 1, 3, 3, 2, 2, 4, 2, 0, 0, 1, 0, 2, 1, 3, 3, 4, 2, 1, 0, 2, 0, 0, 1, 0, 4, 1, 2, 3, 0, 2, 2, 1, 1, 1, 4, 4, 3, 4, 4, 1, 1, 0, 4, 3, 2, 0, 3, 3, 3, 2, 0, 4, 3, 3, 1, 3, 0, 0, 1, 2, 4, 2, 1, 0, 4, 1, 2, 4, 0, 3, 2, 4, 0, 2, 1, 0, 3, 2, 0, 0, 1, 1, 0, 4, 3, 3, 2, 2, 4, 2, 4, 1, 3, 0, 0, 0, 2, 2, 1, 4, 0, 3, 3, 3, 1, 2, 0, 2, 3, 2, 0, 4, 3, 2, 1, 2, 1, 3, 3, 3, 3, 2, 3, 2, 1, 4, 4, 3, 2, 2, 3, 2, 1, 0, 1, 0, 2, 1, 1, 2, 4, 1, 4, 3, 0, 1, 3, 3, 3, 1, 4, 3, 1, 2, 2, 2, 1, 1, 2, 4, 2, 1, 0, 0, 3, 1, 3, 1, 3, 2, 1, 2, 2, 4, 1, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 1, 4, 1, 0, 3, 2, 2, 4, 0, 3, 2, 0, 4, 2, 4, 3, 4, 1, 2, 3, 2, 0, 4, 1, 0, 0, 4, 2, 3, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 4, 1, 2, 1, 3, 1, 3, 0, 1, 1, 2, 0, 0, 3, 4, 3, 4, 0, 2, 4, 2, 2, 2, 3, 1, 2, 4, 4, 1, 2, 1, 3, 2, 1, 1, 0, 3, 1, 2, 3, 4, 3, 2, 1, 0, 2, 4, 1, 1, 0, 0, 3, 4, 4, 4, 1, 0, 0, 4, 2, 2, 2, 0, 4, 3, 3, 3, 3, 4, 0, 2, 3, 2, 2, 2, 3, 1, 1, 1, 2]
pubkeycol999 = [4, 3, 2, 1, 3, 2, 0, 3, 4, 3, 0, 1, 1, 2, 3, 0, 0, 1, 3, 2, 2, 1, 0, 0, 2, 0, 0, 3, 2, 0, 3, 2, 2, 3, 4, 0, 3, 2, 3, 1, 1, 3, 4, 2, 4, 4, 1, 1, 2, 4, 3, 4, 4, 0, 4, 0, 1, 1, 3, 0, 1, 2, 4, 1, 2, 0, 1, 3, 1, 2, 1, 1, 3, 2, 3, 1, 3, 2, 0, 4, 4, 2, 2, 3, 0, 2, 1, 1, 0, 3, 3, 0, 1, 4, 1, 0, 0, 0, 2, 2, 4, 1, 0, 0, 2, 0, 0, 1, 0, 3, 1, 4, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 4, 2, 3, 2, 1, 1, 4, 3, 2, 4, 1, 1, 4, 0, 1, 1, 0, 4, 1, 0, 3, 1, 2, 0, 3, 3, 2, 4, 3, 4, 1, 1, 0, 4, 2, 3, 2, 4, 2, 2, 2, 4, 3, 2, 0, 2, 0, 3, 1, 2, 1, 3, 2, 4, 3, 4, 4, 3, 4, 0, 3, 2, 4, 1, 3, 2, 4, 1, 2, 3, 2, 4, 2, 4, 4, 4, 0, 4, 4, 1, 0, 1, 3, 4, 4, 0, 1, 1, 1, 4, 0, 0, 1, 1, 2, 0, 3, 4, 3, 3, 4, 2, 1, 4, 1, 1, 0, 0, 4, 3, 2, 0, 0, 0, 4, 2, 4, 2, 1, 0, 1, 0, 2, 1, 3, 2, 0, 1, 4, 4, 3, 4, 2, 4, 3, 4, 1, 4, 4, 0, 2, 4, 1, 1, 0, 4, 2, 1, 4, 1, 4, 1, 0, 4, 1, 1, 1, 4, 4, 0, 0, 2, 4, 0, 1, 0, 0, 3, 2, 1, 2, 3, 1, 2, 3, 4, 0, 1, 0, 4, 4, 3, 3, 3, 0, 0, 0, 4, 2, 3, 3, 3, 0, 4, 3, 0, 3, 3, 2, 0, 0, 3, 1, 3, 3, 0, 0, 0, 0, 3, 2, 4, 4, 0, 0, 2, 1, 2, 3, 3, 1, 4, 1, 0, 4, 1, 1, 0, 3, 2, 3, 2, 2, 1, 1, 2, 1, 3, 4, 2, 4, 1, 2, 4, 1, 4, 4, 2, 4, 1, 2, 3, 4, 3, 2, 4, 4, 2, 1, 0, 0, 0, 0, 2, 1, 4, 3, 4, 0, 3, 4, 2, 3, 2, 3, 4, 0, 3]
pubkeycol1000 = [0, 1, 4, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 0, 0, 3, 2, 2, 0, 3, 3, 4, 0, 0, 0, 1, 2, 2, 3, 2, 0, 0, 3, 3, 3, 0, 2, 3, 0, 2, 4, 3, 2, 2, 4, 0, 0, 2, 4, 4, 0, 3, 4, 0, 0, 2, 4, 1, 3, 2, 3, 3, 2, 3, 0, 4, 3, 3, 4, 0, 4, 4, 3, 3, 0, 2, 1, 4, 0, 1, 2, 0, 4, 4, 2, 2, 2, 3, 2, 1, 0, 0, 4, 4, 2, 3, 2, 1, 0, 2, 4, 2, 2, 3, 3, 2, 2, 3, 1, 0, 2, 1, 3, 3, 0, 4, 2, 0, 4, 4, 3, 2, 1, 3, 1, 2, 3, 4, 2, 4, 2, 2, 1, 1, 1, 4, 0, 1, 0, 4, 4, 0, 4, 1, 4, 3, 3, 3, 2, 2, 3, 0, 2, 3, 3, 1, 2, 1, 1, 1, 3, 3, 0, 0, 1, 1, 1, 4, 4, 3, 4, 1, 3, 0, 3, 1, 0, 2, 1, 4, 3, 1, 3, 2, 1, 0, 2, 2, 0, 4, 0, 0, 3, 3, 3, 2, 2, 4, 0, 0, 2, 0, 1, 1, 3, 3, 4, 0, 4, 3, 1, 1, 0, 1, 4, 2, 2, 4, 0, 2, 2, 1, 3, 3, 4, 4, 1, 2, 0, 4, 2, 3, 2, 2, 1, 0, 1, 2, 1, 2, 2, 4, 0, 4, 2, 1, 0, 2, 1, 4, 4, 0, 2, 1, 2, 3, 4, 4, 1, 4, 2, 3, 4, 2, 3, 1, 0, 2, 0, 2, 1, 1, 0, 4, 3, 4, 4, 2, 4, 0, 4, 1, 4, 0, 4, 1, 1, 1, 2, 4, 4, 3, 2, 4, 0, 2, 1, 0, 1, 0, 4, 2, 0, 1, 4, 3, 3, 3, 1, 0, 1, 4, 2, 3, 4, 1, 3, 1, 3, 1, 4, 2, 2, 0, 0, 2, 4, 4, 0, 3, 2, 4, 0, 1, 2, 4, 4, 0, 2, 1, 1, 3, 0, 1, 3, 3, 3, 1, 3, 4, 4, 2, 2, 3, 0, 3, 0, 3, 2, 2, 2, 0, 3, 2, 4, 4, 1, 4, 0, 2, 1, 1, 0, 4, 2, 1, 4, 0, 2, 3, 1, 3, 4, 0, 0, 1, 1, 1, 2, 1, 2, 4, 4, 3]
pubkeycol1001 = [3, 2, 4, 2, 0, 0, 2, 1, 4, 3, 0, 3, 1, 4, 4, 3, 2, 4, 0, 1, 2, 3, 0, 4, 1, 1, 2, 3, 2, 4, 2, 2, 2, 4, 1, 1, 0, 3, 0, 1, 2, 0, 0, 3, 3, 1, 3, 1, 0, 0, 4, 3, 1, 0, 2, 2, 4, 0, 1, 3, 0, 4, 3, 2, 1, 1, 1, 2, 0, 1, 1, 3, 1, 2, 0, 2, 3, 2, 0, 4, 1, 0, 3, 4, 2, 4, 4, 2, 2, 4, 1, 4, 2, 0, 2, 3, 4, 2, 3, 1, 1, 1, 2, 2, 4, 3, 2, 0, 0, 3, 3, 2, 1, 3, 4, 0, 4, 0, 3, 0, 4, 1, 1, 0, 4, 4, 2, 3, 4, 4, 4, 2, 2, 1, 4, 3, 4, 3, 1, 3, 4, 2, 3, 1, 0, 0, 3, 2, 0, 0, 2, 3, 0, 4, 1, 0, 2, 2, 3, 0, 0, 0, 4, 2, 4, 1, 4, 0, 3, 0, 3, 2, 1, 0, 0, 1, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 1, 1, 4, 2, 2, 0, 1, 0, 4, 1, 0, 3, 1, 2, 2, 4, 2, 3, 2, 0, 4, 4, 2, 3, 1, 3, 3, 0, 2, 3, 1, 3, 4, 3, 1, 3, 0, 3, 3, 3, 4, 4, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 3, 4, 2, 0, 3, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 3, 2, 3, 1, 0, 3, 1, 4, 1, 4, 4, 0, 3, 3, 0, 3, 4, 4, 2, 4, 3, 1, 1, 1, 3, 2, 0, 2, 0, 2, 1, 1, 4, 3, 2, 3, 4, 4, 0, 4, 0, 2, 1, 0, 2, 4, 4, 4, 1, 2, 0, 1, 0, 0, 1, 2, 1, 4, 4, 0, 4, 1, 4, 2, 3, 1, 4, 4, 2, 0, 0, 4, 4, 4, 1, 1, 0, 3, 0, 1, 1, 2, 0, 3, 4, 2, 1, 1, 4, 0, 4, 4, 3, 3, 3, 4, 4, 3, 0, 0, 2, 3, 1, 1, 1, 3, 0, 4, 2, 0, 0, 0, 2, 1, 4, 4, 2, 3, 3, 1, 3, 3, 1, 2, 0, 1, 0, 2, 1, 4, 2, 3, 2, 4, 4, 3, 2, 0, 2, 2, 2, 2, 1, 4]
pubkeycol1002 = [0, 0, 4, 3, 4, 2, 2, 4, 4, 3, 1, 3, 2, 1, 0, 3, 0, 2, 4, 2, 4, 4, 0, 3, 4, 4, 4, 0, 1, 4, 3, 0, 2, 3, 3, 4, 2, 0, 3, 2, 1, 4, 1, 0, 2, 3, 4, 3, 0, 4, 2, 0, 0, 2, 1, 4, 2, 4, 3, 1, 0, 2, 0, 3, 1, 4, 2, 2, 2, 2, 2, 2, 0, 4, 1, 2, 0, 0, 0, 1, 0, 1, 1, 4, 0, 0, 1, 4, 4, 4, 2, 1, 0, 4, 2, 0, 0, 0, 3, 3, 1, 2, 4, 0, 1, 3, 0, 1, 0, 1, 4, 0, 3, 3, 2, 0, 4, 3, 4, 4, 4, 1, 4, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 4, 2, 0, 4, 0, 2, 4, 3, 3, 3, 3, 3, 0, 0, 1, 1, 1, 1, 4, 4, 2, 3, 0, 2, 3, 0, 2, 0, 0, 2, 1, 4, 2, 1, 2, 0, 3, 2, 0, 4, 3, 2, 3, 3, 0, 3, 3, 4, 4, 2, 4, 2, 2, 4, 1, 3, 1, 4, 0, 1, 0, 4, 1, 2, 2, 0, 3, 4, 1, 1, 4, 4, 3, 0, 2, 2, 4, 3, 4, 3, 2, 1, 4, 2, 0, 0, 2, 1, 1, 0, 3, 4, 3, 3, 4, 1, 0, 3, 3, 2, 2, 4, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 4, 4, 1, 2, 2, 1, 1, 4, 4, 1, 2, 4, 2, 1, 4, 3, 4, 2, 4, 2, 4, 3, 2, 1, 4, 1, 2, 0, 0, 1, 2, 4, 0, 0, 3, 3, 3, 2, 3, 4, 0, 0, 4, 1, 2, 1, 1, 0, 0, 0, 3, 3, 2, 3, 1, 4, 1, 3, 4, 1, 4, 1, 0, 3, 3, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 3, 1, 1, 3, 4, 2, 1, 4, 1, 3, 0, 4, 0, 0, 0, 0, 0, 3, 2, 0, 1, 4, 0, 1, 0, 1, 1, 3, 2, 0, 1, 2, 3, 3, 4, 0, 1, 0, 0, 3, 3, 0, 4, 2, 2, 2, 1, 0, 4, 3, 1, 1, 4, 3, 4, 4, 0, 0, 3, 4, 0, 3, 2, 4, 1, 0, 3, 1, 4, 1, 2, 2, 4, 2, 2, 0, 4, 4, 1]
pubkeycol1003 = [2, 4, 3, 1, 1, 3, 3, 4, 2, 3, 1, 1, 4, 4, 1, 3, 3, 3, 0, 1, 0, 1, 3, 2, 3, 4, 3, 2, 0, 2, 0, 2, 0, 1, 2, 3, 3, 0, 1, 2, 3, 4, 2, 3, 3, 2, 2, 1, 1, 3, 0, 3, 1, 1, 1, 3, 2, 0, 3, 3, 4, 2, 2, 2, 2, 0, 1, 0, 3, 4, 1, 2, 4, 3, 1, 2, 2, 4, 0, 3, 1, 3, 2, 1, 1, 4, 4, 4, 1, 3, 3, 1, 0, 3, 3, 0, 0, 1, 4, 3, 2, 0, 1, 3, 4, 1, 0, 1, 3, 4, 0, 2, 3, 1, 4, 0, 0, 2, 3, 3, 1, 3, 1, 2, 1, 2, 4, 3, 1, 1, 1, 3, 2, 2, 3, 0, 0, 4, 4, 4, 2, 4, 3, 1, 3, 4, 2, 2, 4, 0, 3, 4, 3, 4, 0, 0, 2, 2, 4, 4, 4, 2, 4, 2, 2, 4, 1, 0, 0, 3, 3, 2, 3, 0, 4, 0, 3, 3, 2, 1, 4, 0, 0, 3, 2, 2, 4, 1, 2, 1, 3, 2, 2, 0, 2, 3, 3, 2, 0, 4, 1, 4, 2, 0, 4, 1, 1, 3, 3, 3, 2, 1, 1, 1, 4, 2, 1, 0, 3, 0, 0, 2, 4, 1, 4, 1, 2, 0, 0, 2, 4, 3, 0, 2, 0, 2, 2, 2, 0, 3, 4, 0, 3, 2, 4, 3, 3, 3, 1, 3, 2, 2, 2, 2, 0, 1, 0, 2, 2, 4, 3, 2, 4, 0, 0, 4, 4, 0, 3, 2, 0, 4, 0, 2, 2, 4, 4, 4, 3, 2, 1, 4, 0, 2, 2, 3, 1, 1, 2, 0, 4, 3, 2, 2, 3, 2, 4, 4, 2, 1, 3, 0, 0, 4, 2, 2, 4, 3, 2, 4, 1, 0, 1, 2, 4, 3, 4, 0, 0, 1, 2, 1, 4, 3, 4, 1, 4, 1, 1, 2, 2, 3, 4, 3, 4, 0, 4, 4, 1, 4, 2, 2, 1, 2, 4, 0, 4, 0, 1, 2, 2, 2, 3, 4, 0, 2, 3, 2, 3, 4, 2, 4, 3, 0, 1, 2, 2, 0, 2, 3, 0, 4, 1, 4, 3, 2, 2, 0, 2, 4, 0, 3, 1, 0, 1, 1, 0, 3, 1, 2, 0, 4, 0, 4, 1, 1, 3, 4, 3, 2]
pubkeycol1004 = [0, 3, 2, 2, 0, 3, 2, 4, 1, 4, 3, 4, 1, 0, 4, 0, 1, 0, 4, 0, 0, 0, 2, 2, 4, 1, 2, 0, 2, 2, 3, 3, 2, 1, 0, 1, 4, 1, 3, 2, 1, 1, 1, 0, 2, 3, 1, 3, 0, 2, 0, 2, 0, 0, 3, 4, 2, 3, 3, 3, 0, 0, 3, 0, 3, 3, 2, 1, 1, 3, 2, 3, 3, 4, 4, 2, 1, 2, 3, 3, 3, 3, 3, 2, 4, 0, 4, 1, 4, 4, 2, 3, 0, 1, 3, 3, 3, 3, 0, 3, 4, 2, 3, 0, 1, 2, 0, 2, 3, 2, 0, 2, 4, 3, 2, 2, 3, 4, 3, 3, 3, 1, 4, 1, 0, 1, 4, 2, 2, 4, 1, 2, 3, 2, 1, 0, 0, 1, 4, 2, 1, 2, 2, 2, 0, 1, 2, 0, 4, 3, 3, 2, 4, 1, 3, 0, 4, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 4, 4, 2, 0, 0, 2, 1, 4, 1, 1, 1, 3, 3, 3, 4, 2, 1, 0, 1, 0, 2, 2, 4, 2, 0, 4, 1, 4, 1, 3, 4, 4, 2, 4, 3, 3, 3, 0, 0, 4, 1, 2, 0, 2, 1, 0, 0, 3, 1, 0, 2, 0, 2, 4, 3, 0, 2, 2, 4, 1, 2, 1, 4, 2, 2, 1, 1, 3, 1, 2, 0, 3, 4, 1, 2, 0, 4, 2, 4, 4, 1, 4, 3, 3, 0, 2, 4, 2, 0, 2, 0, 1, 1, 4, 3, 0, 3, 2, 3, 3, 0, 0, 4, 2, 0, 4, 2, 2, 2, 3, 1, 2, 4, 1, 2, 2, 0, 0, 3, 4, 1, 3, 0, 3, 3, 0, 4, 0, 2, 3, 3, 0, 4, 0, 4, 3, 1, 1, 4, 4, 4, 0, 1, 2, 1, 3, 0, 0, 0, 2, 2, 1, 2, 3, 4, 2, 2, 1, 3, 3, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 3, 0, 0, 1, 1, 2, 3, 4, 4, 3, 1, 1, 4, 0, 0, 2, 4, 1, 3, 0, 0, 1, 4, 3, 1, 3, 3, 0, 4, 2, 3, 1, 0, 0, 0, 2, 3, 0, 1, 0, 1, 2, 3, 3, 2, 4, 0, 4, 2, 1, 3, 4, 4, 0, 4, 4]
pubkeycol1005 = [1, 4, 3, 0, 3, 3, 2, 3, 1, 1, 1, 3, 4, 4, 2, 0, 4, 3, 2, 3, 1, 4, 3, 1, 3, 2, 3, 2, 4, 1, 0, 3, 2, 3, 1, 0, 4, 0, 0, 4, 0, 2, 1, 4, 1, 4, 3, 4, 1, 1, 2, 3, 4, 0, 1, 2, 4, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 4, 0, 0, 0, 2, 4, 0, 3, 3, 0, 3, 1, 2, 4, 3, 4, 0, 1, 4, 1, 1, 3, 2, 1, 0, 0, 1, 1, 3, 2, 0, 0, 0, 4, 4, 4, 1, 1, 1, 3, 1, 2, 1, 4, 0, 2, 4, 3, 2, 0, 3, 2, 4, 3, 1, 4, 4, 3, 3, 1, 2, 1, 4, 1, 0, 3, 0, 3, 3, 3, 0, 0, 4, 2, 3, 4, 1, 1, 0, 1, 4, 4, 4, 2, 1, 2, 4, 1, 3, 1, 2, 2, 1, 3, 1, 0, 4, 2, 2, 4, 4, 1, 4, 0, 0, 4, 0, 0, 3, 1, 3, 4, 2, 0, 1, 2, 4, 4, 0, 4, 0, 4, 4, 2, 3, 0, 4, 4, 1, 3, 2, 0, 4, 1, 4, 0, 1, 2, 4, 3, 3, 3, 3, 0, 0, 0, 1, 0, 1, 1, 3, 0, 3, 1, 4, 3, 0, 4, 3, 2, 4, 0, 4, 2, 4, 4, 4, 2, 0, 0, 4, 2, 2, 0, 4, 1, 1, 1, 0, 2, 2, 2, 0, 4, 2, 2, 2, 0, 4, 1, 2, 4, 4, 3, 3, 1, 3, 0, 0, 3, 4, 0, 4, 2, 0, 1, 0, 0, 0, 1, 2, 0, 3, 1, 4, 4, 3, 0, 3, 2, 4, 0, 1, 0, 3, 0, 2, 0, 3, 0, 3, 1, 1, 4, 1, 1, 4, 1, 1, 4, 2, 1, 4, 4, 0, 0, 3, 2, 2, 4, 3, 1, 0, 3, 4, 4, 0, 4, 3, 3, 1, 3, 3, 2, 0, 4, 2, 3, 3, 2, 0, 2, 2, 4, 0, 0, 3, 0, 0, 0, 1, 1, 4, 3, 2, 0, 0, 4, 4, 2, 2, 3, 0, 1, 2, 2, 0, 1, 2, 4, 4, 2, 1, 0, 4, 4, 4, 4, 0, 3, 4, 1, 2, 1, 0, 2, 3, 0, 4, 0, 0, 4, 3, 3, 1, 4, 4, 3, 4, 3, 4]
pubkeycol1006 = [4, 1, 4, 4, 1, 4, 4, 2, 3, 4, 0, 3, 2, 2, 1, 3, 0, 4, 3, 2, 2, 4, 3, 3, 2, 1, 3, 3, 0, 0, 4, 2, 0, 4, 4, 0, 3, 4, 2, 2, 0, 0, 3, 0, 0, 0, 2, 2, 2, 2, 3, 2, 0, 3, 1, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 2, 4, 4, 1, 0, 2, 1, 0, 1, 0, 3, 0, 1, 0, 1, 1, 0, 2, 1, 3, 0, 3, 1, 0, 3, 1, 4, 1, 0, 2, 2, 0, 2, 0, 4, 0, 4, 3, 2, 0, 2, 2, 1, 1, 1, 3, 4, 2, 0, 0, 2, 1, 2, 0, 2, 4, 4, 0, 4, 0, 2, 2, 2, 1, 3, 3, 2, 1, 4, 2, 4, 4, 4, 2, 3, 4, 0, 0, 0, 1, 4, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 3, 1, 4, 4, 0, 3, 3, 1, 1, 3, 2, 1, 2, 0, 1, 0, 4, 1, 4, 3, 2, 0, 0, 2, 2, 4, 0, 4, 0, 2, 3, 4, 4, 3, 1, 0, 1, 1, 4, 2, 0, 3, 3, 3, 2, 3, 3, 4, 4, 1, 4, 1, 3, 4, 2, 4, 4, 2, 2, 2, 3, 0, 2, 2, 3, 3, 3, 3, 3, 0, 2, 0, 2, 2, 1, 3, 0, 3, 2, 1, 1, 1, 4, 1, 3, 2, 2, 2, 3, 3, 3, 1, 0, 2, 3, 3, 4, 4, 1, 4, 1, 3, 3, 4, 1, 1, 3, 4, 2, 2, 2, 0, 1, 4, 1, 3, 1, 1, 0, 1, 3, 1, 3, 3, 3, 3, 3, 3, 1, 2, 4, 2, 0, 0, 2, 3, 3, 3, 3, 3, 1, 1, 3, 4, 2, 0, 0, 2, 4, 1, 1, 3, 3, 3, 0, 2, 3, 3, 3, 0, 3, 4, 0, 1, 3, 3, 1, 2, 1, 3, 0, 1, 4, 4, 2, 3, 2, 0, 4, 0, 3, 0, 2, 3, 3, 2, 4, 3, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 4, 2, 3, 0, 3, 1, 2, 1, 4, 3, 2, 4, 4, 1, 1, 3, 4, 0, 0, 4, 0, 4, 2, 3, 4, 3, 2, 1, 0, 4, 4, 0, 1, 2, 0]
pubkeycol1007 = [3, 4, 2, 2, 4, 2, 2, 4, 4, 1, 2, 4, 4, 4, 3, 1, 4, 0, 3, 4, 0, 0, 3, 3, 1, 2, 3, 2, 1, 4, 0, 2, 2, 0, 3, 3, 2, 0, 0, 4, 2, 0, 4, 4, 1, 1, 2, 1, 1, 4, 0, 4, 2, 3, 0, 3, 0, 2, 4, 0, 0, 3, 0, 3, 1, 0, 0, 0, 2, 3, 4, 2, 0, 1, 2, 3, 1, 3, 3, 1, 0, 3, 2, 4, 4, 0, 2, 4, 1, 0, 1, 4, 1, 1, 3, 2, 3, 3, 3, 1, 0, 1, 3, 1, 4, 0, 3, 1, 3, 3, 1, 3, 4, 1, 1, 2, 4, 3, 2, 2, 4, 1, 4, 4, 1, 4, 2, 3, 0, 3, 3, 2, 1, 3, 2, 4, 1, 2, 1, 1, 4, 0, 4, 1, 1, 4, 2, 0, 0, 0, 4, 3, 0, 3, 2, 4, 4, 3, 1, 0, 1, 2, 0, 3, 0, 0, 0, 0, 3, 1, 0, 3, 4, 4, 1, 2, 0, 2, 1, 0, 3, 1, 3, 4, 0, 0, 1, 1, 1, 4, 0, 2, 3, 4, 4, 0, 3, 0, 2, 4, 3, 3, 4, 0, 0, 3, 4, 4, 4, 0, 3, 1, 3, 1, 4, 3, 2, 0, 4, 2, 4, 3, 3, 1, 1, 2, 0, 3, 1, 0, 3, 1, 2, 4, 2, 1, 2, 3, 4, 2, 4, 1, 0, 0, 1, 4, 4, 2, 3, 1, 0, 1, 1, 4, 4, 0, 1, 0, 4, 2, 4, 3, 3, 4, 0, 3, 4, 0, 1, 0, 2, 0, 3, 0, 2, 0, 0, 0, 2, 3, 4, 2, 4, 2, 3, 4, 0, 0, 2, 1, 3, 3, 4, 1, 1, 4, 4, 3, 1, 3, 2, 3, 1, 4, 3, 1, 3, 3, 2, 4, 3, 4, 1, 2, 4, 1, 3, 4, 0, 2, 4, 1, 1, 1, 0, 4, 1, 0, 4, 1, 3, 4, 1, 4, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 4, 4, 0, 1, 1, 1, 3, 1, 0, 4, 2, 3, 1, 4, 0, 1, 4, 1, 3, 2, 4, 4, 1, 1, 3, 0, 0, 1, 0, 4, 2, 2, 0, 0, 4, 4, 2, 4, 3, 2, 0, 1, 2, 2, 3, 4, 3, 1, 1, 0, 1, 1, 1, 4, 3, 2]
pubkeycol1008 = [0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 4, 3, 4, 0, 0, 3, 0, 4, 0, 0, 4, 2, 4, 3, 1, 0, 3, 0, 3, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 4, 1, 1, 2, 2, 2, 4, 0, 1, 4, 3, 0, 2, 3, 2, 0, 2, 0, 2, 1, 3, 3, 0, 3, 2, 1, 4, 0, 0, 2, 4, 0, 2, 3, 1, 2, 3, 0, 0, 1, 0, 2, 4, 0, 3, 1, 4, 2, 0, 3, 0, 1, 4, 2, 3, 4, 2, 3, 4, 0, 4, 2, 0, 3, 3, 3, 4, 3, 1, 3, 4, 2, 3, 3, 2, 1, 0, 0, 3, 1, 3, 0, 3, 1, 2, 2, 2, 2, 0, 4, 2, 1, 2, 0, 0, 1, 4, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 3, 3, 0, 2, 3, 0, 2, 2, 2, 2, 4, 1, 3, 3, 0, 4, 4, 1, 1, 1, 1, 4, 1, 4, 1, 3, 1, 3, 1, 4, 2, 0, 1, 3, 3, 1, 2, 1, 3, 3, 1, 4, 4, 1, 2, 2, 0, 4, 1, 3, 1, 2, 1, 2, 3, 0, 4, 1, 4, 4, 3, 4, 2, 2, 0, 3, 0, 0, 2, 4, 0, 2, 3, 3, 2, 1, 1, 0, 1, 4, 4, 2, 2, 2, 3, 1, 4, 1, 3, 4, 4, 4, 2, 1, 3, 3, 4, 3, 2, 1, 0, 2, 0, 1, 3, 1, 2, 3, 4, 2, 4, 4, 2, 4, 4, 0, 2, 2, 4, 1, 4, 3, 1, 4, 1, 1, 1, 1, 4, 4, 2, 3, 1, 3, 4, 3, 1, 3, 2, 2, 3, 4, 3, 2, 4, 0, 1, 1, 0, 1, 2, 1, 4, 1, 3, 3, 4, 4, 3, 4, 3, 3, 3, 3, 4, 4, 1, 2, 3, 2, 2, 2, 0, 2, 2, 1, 1, 4, 0, 0, 1, 1, 4, 0, 0, 4, 3, 1, 1, 2, 2, 3, 1, 3, 1, 2, 0, 3, 2, 3, 4, 1, 1, 0, 1, 0, 3, 4, 2, 4, 0, 2, 2, 1, 3, 3, 1, 2, 1, 2, 4, 4, 0, 2, 1, 2, 0, 0, 2, 4, 0, 4, 0, 2, 0, 3, 0, 4, 3, 0, 0, 3, 3, 0, 0, 0, 2, 4, 1, 0, 2, 4]
pubkeycol1009 = [1, 0, 3, 0, 0, 0, 4, 4, 0, 1, 1, 4, 1, 1, 1, 4, 0, 0, 3, 3, 1, 4, 2, 0, 2, 4, 4, 2, 3, 1, 3, 4, 3, 1, 0, 0, 2, 3, 3, 1, 3, 4, 3, 2, 3, 2, 4, 0, 4, 3, 3, 3, 3, 1, 4, 3, 0, 3, 0, 2, 1, 3, 1, 1, 4, 3, 2, 1, 1, 0, 4, 1, 4, 1, 0, 1, 3, 1, 2, 0, 1, 4, 3, 1, 2, 2, 0, 4, 2, 3, 3, 1, 3, 0, 1, 1, 4, 4, 1, 2, 1, 2, 3, 1, 2, 4, 3, 1, 1, 4, 3, 0, 4, 3, 1, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 3, 1, 4, 0, 2, 1, 4, 3, 4, 2, 2, 4, 4, 1, 2, 2, 0, 4, 3, 1, 1, 0, 3, 3, 3, 4, 2, 3, 2, 1, 3, 4, 2, 4, 1, 3, 4, 4, 3, 2, 3, 3, 2, 4, 0, 2, 0, 1, 4, 3, 0, 3, 4, 4, 1, 0, 2, 4, 3, 4, 4, 0, 0, 4, 2, 4, 4, 1, 3, 4, 3, 0, 4, 4, 3, 3, 4, 0, 0, 1, 4, 3, 0, 1, 0, 3, 4, 0, 1, 3, 4, 1, 4, 3, 3, 1, 4, 4, 4, 4, 0, 2, 0, 3, 1, 0, 4, 2, 2, 2, 1, 4, 4, 4, 2, 0, 0, 1, 0, 3, 0, 4, 0, 2, 0, 1, 1, 0, 1, 2, 3, 3, 0, 4, 2, 0, 0, 1, 1, 4, 4, 0, 0, 4, 4, 1, 1, 1, 0, 3, 4, 3, 3, 3, 2, 4, 0, 3, 3, 3, 4, 3, 4, 0, 4, 1, 3, 4, 1, 1, 1, 4, 3, 2, 0, 3, 0, 3, 3, 3, 2, 1, 1, 1, 4, 1, 2, 2, 1, 2, 4, 2, 2, 4, 1, 2, 3, 4, 1, 3, 4, 0, 3, 1, 2, 3, 1, 0, 2, 3, 3, 3, 4, 0, 1, 1, 4, 1, 3, 3, 1, 3, 2, 3, 3, 0, 0, 2, 4, 1, 2, 2, 0, 0, 4, 3, 3, 0, 2, 0, 4, 2, 1, 1, 3, 2, 2, 0, 3, 1, 1, 0, 0, 4, 3, 3, 3, 0, 2, 1, 3, 2, 2, 4, 0, 1, 2, 3, 0, 1, 3, 1, 0, 4, 0]
pubkeycol1010 = [0, 1, 4, 2, 3, 4, 3, 1, 0, 3, 4, 4, 2, 1, 4, 2, 2, 2, 0, 0, 4, 4, 4, 4, 1, 3, 1, 0, 1, 2, 2, 0, 4, 1, 3, 2, 1, 2, 3, 1, 4, 2, 2, 0, 0, 1, 3, 2, 1, 2, 0, 2, 4, 3, 1, 2, 3, 2, 3, 0, 0, 3, 4, 1, 4, 2, 3, 4, 4, 0, 4, 0, 2, 1, 3, 1, 0, 2, 4, 2, 4, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 4, 2, 0, 2, 2, 2, 3, 0, 4, 0, 3, 2, 3, 0, 2, 3, 4, 4, 4, 3, 3, 0, 0, 1, 2, 2, 3, 0, 4, 3, 1, 3, 3, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 4, 2, 2, 4, 1, 0, 4, 0, 2, 3, 4, 4, 0, 1, 4, 0, 2, 3, 0, 4, 1, 1, 3, 2, 3, 4, 3, 2, 4, 2, 3, 4, 4, 0, 3, 4, 0, 2, 1, 4, 1, 0, 2, 3, 1, 0, 3, 3, 2, 1, 2, 2, 2, 3, 4, 3, 2, 1, 1, 3, 1, 1, 0, 2, 1, 3, 4, 0, 2, 2, 3, 1, 1, 1, 0, 2, 0, 3, 3, 0, 3, 0, 2, 4, 0, 3, 2, 4, 3, 1, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 3, 4, 1, 4, 0, 3, 0, 0, 4, 1, 2, 0, 1, 4, 1, 3, 4, 0, 0, 4, 0, 3, 2, 1, 0, 1, 4, 1, 1, 0, 2, 0, 1, 2, 0, 0, 4, 0, 1, 1, 1, 2, 0, 4, 3, 1, 1, 1, 1, 4, 0, 3, 3, 2, 4, 1, 1, 1, 1, 1, 2, 4, 3, 4, 4, 4, 3, 3, 2, 1, 4, 1, 1, 4, 2, 2, 0, 3, 2, 2, 2, 2, 3, 3, 0, 2, 0, 4, 0, 3, 3, 4, 2, 0, 0, 0, 0, 0, 3, 4, 2, 3, 4, 4, 0, 2, 1, 4, 0, 3, 3, 0, 0, 2, 3, 2, 1, 1, 4, 0, 2, 4, 0, 3, 1, 0, 2, 1, 3, 3, 1, 0, 2, 1, 2, 4, 4, 1, 4, 0, 0, 3, 3, 3, 4, 1, 3, 0, 2, 2, 1, 1, 0, 1, 1, 3, 4, 1, 0, 1, 2]
pubkeycol1011 = [1, 4, 4, 3, 2, 2, 0, 1, 1, 4, 2, 1, 0, 1, 0, 2, 4, 2, 4, 2, 1, 4, 2, 0, 2, 3, 3, 2, 4, 0, 4, 4, 0, 2, 2, 4, 0, 1, 0, 3, 2, 3, 3, 3, 2, 0, 0, 4, 3, 4, 3, 2, 1, 2, 4, 0, 4, 3, 0, 1, 3, 3, 0, 3, 1, 4, 1, 3, 4, 2, 4, 4, 2, 2, 0, 1, 4, 4, 4, 3, 1, 2, 1, 1, 1, 1, 3, 2, 2, 4, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 3, 4, 4, 3, 4, 2, 1, 2, 3, 4, 1, 0, 2, 3, 4, 3, 3, 0, 4, 0, 2, 4, 1, 4, 2, 3, 0, 2, 2, 0, 0, 3, 3, 0, 4, 1, 1, 1, 0, 4, 2, 1, 0, 4, 1, 3, 1, 4, 1, 3, 2, 3, 0, 2, 4, 0, 3, 4, 4, 0, 2, 3, 3, 1, 4, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 3, 0, 0, 2, 2, 3, 3, 4, 4, 1, 3, 2, 1, 4, 3, 2, 0, 2, 3, 0, 4, 0, 1, 0, 0, 2, 2, 0, 0, 3, 4, 2, 4, 0, 1, 4, 2, 0, 0, 1, 3, 2, 3, 3, 2, 3, 3, 4, 1, 1, 1, 1, 0, 1, 0, 3, 1, 4, 2, 2, 0, 3, 3, 3, 3, 4, 0, 0, 1, 4, 1, 1, 4, 2, 3, 1, 4, 3, 4, 0, 4, 4, 3, 4, 2, 1, 2, 0, 2, 1, 2, 1, 4, 0, 2, 1, 4, 3, 2, 2, 2, 4, 3, 4, 1, 2, 0, 0, 4, 3, 4, 4, 2, 4, 2, 1, 4, 0, 1, 3, 0, 1, 1, 0, 4, 3, 3, 3, 1, 4, 2, 0, 3, 2, 0, 2, 4, 2, 4, 0, 2, 2, 1, 4, 2, 0, 0, 2, 2, 4, 4, 2, 1, 3, 2, 0, 1, 3, 0, 3, 1, 3, 4, 2, 0, 3, 3, 0, 2, 2, 1, 1, 1, 2, 3, 3, 1, 3, 3, 1, 3, 3, 0, 1, 0, 3, 2, 2, 1, 4, 4, 1, 1, 0, 3, 4, 2, 4, 4, 4, 1, 3, 2, 4, 4, 1, 2, 4, 1, 3, 3, 1, 0, 0, 4, 4, 2, 0, 4]
pubkeycol1012 = [0, 1, 0, 2, 3, 3, 3, 2, 1, 4, 2, 0, 0, 4, 2, 4, 3, 0, 4, 2, 2, 0, 4, 4, 3, 1, 4, 0, 4, 3, 1, 3, 0, 1, 4, 4, 3, 4, 2, 3, 2, 0, 2, 0, 3, 4, 4, 2, 1, 4, 3, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 4, 1, 4, 0, 0, 4, 1, 3, 2, 4, 0, 1, 4, 2, 4, 1, 0, 0, 3, 3, 3, 0, 3, 4, 3, 2, 1, 2, 4, 2, 0, 2, 2, 2, 3, 0, 0, 2, 4, 2, 4, 4, 0, 3, 4, 2, 3, 0, 1, 0, 3, 1, 4, 0, 0, 0, 2, 1, 3, 3, 0, 4, 3, 2, 0, 4, 2, 0, 1, 4, 0, 1, 4, 1, 2, 0, 1, 2, 4, 3, 2, 2, 4, 3, 2, 3, 1, 4, 1, 0, 0, 2, 0, 2, 3, 4, 4, 1, 3, 0, 3, 1, 0, 2, 1, 4, 3, 2, 0, 2, 2, 2, 4, 4, 2, 3, 4, 1, 0, 1, 4, 4, 0, 0, 4, 4, 1, 1, 0, 2, 2, 3, 1, 2, 4, 3, 0, 1, 4, 3, 0, 0, 4, 0, 4, 2, 1, 2, 3, 3, 3, 0, 4, 1, 4, 1, 1, 2, 0, 1, 1, 4, 2, 1, 0, 2, 4, 4, 0, 2, 4, 4, 4, 4, 0, 1, 4, 1, 4, 0, 0, 0, 3, 3, 3, 1, 1, 3, 4, 4, 1, 0, 3, 3, 2, 2, 3, 3, 4, 2, 2, 0, 4, 2, 1, 2, 1, 1, 0, 1, 4, 3, 4, 4, 4, 3, 1, 1, 4, 2, 3, 4, 2, 4, 1, 0, 2, 2, 3, 4, 4, 1, 0, 1, 3, 4, 2, 3, 2, 2, 3, 1, 2, 2, 3, 0, 3, 1, 3, 2, 0, 0, 3, 0, 4, 2, 2, 4, 2, 3, 3, 4, 4, 1, 3, 1, 3, 4, 1, 0, 4, 1, 4, 4, 2, 2, 0, 4, 0, 3, 3, 2, 1, 3, 3, 0, 1, 4, 3, 3, 1, 0, 2, 0, 2, 1, 0, 3, 0, 1, 0, 4, 3, 0, 1, 3, 0, 0, 4, 4, 4, 0, 3, 1, 1, 2, 1, 3, 2, 1, 3, 3, 0, 2, 3, 4, 3, 3, 0, 3, 2]
pubkeycol1013 = [3, 4, 4, 2, 4, 1, 1, 0, 3, 4, 0, 1, 4, 3, 4, 2, 3, 3, 0, 4, 1, 2, 1, 4, 1, 4, 3, 2, 3, 3, 0, 4, 0, 1, 0, 1, 3, 1, 1, 3, 1, 2, 2, 2, 0, 0, 2, 1, 3, 1, 0, 2, 1, 4, 2, 4, 1, 4, 2, 4, 2, 0, 4, 2, 1, 2, 0, 3, 0, 1, 0, 4, 2, 0, 3, 1, 0, 2, 3, 3, 3, 3, 0, 4, 2, 3, 3, 0, 3, 3, 2, 0, 0, 3, 3, 4, 2, 2, 4, 4, 1, 1, 4, 3, 2, 1, 2, 1, 4, 2, 4, 1, 1, 2, 0, 2, 1, 3, 0, 0, 1, 1, 3, 2, 4, 3, 1, 3, 1, 2, 3, 3, 1, 1, 2, 2, 2, 2, 1, 4, 3, 3, 0, 3, 1, 4, 1, 0, 3, 3, 4, 3, 1, 2, 1, 0, 4, 3, 3, 0, 3, 4, 3, 4, 4, 2, 4, 3, 1, 2, 2, 3, 0, 2, 1, 4, 4, 2, 4, 3, 3, 2, 2, 4, 1, 2, 0, 4, 4, 3, 0, 1, 2, 0, 2, 3, 2, 0, 4, 1, 3, 0, 4, 3, 4, 0, 2, 2, 3, 0, 2, 1, 3, 3, 1, 0, 2, 4, 0, 3, 4, 0, 4, 0, 3, 1, 0, 1, 4, 4, 1, 0, 1, 0, 2, 2, 2, 0, 3, 3, 2, 4, 4, 2, 3, 3, 0, 3, 2, 1, 4, 1, 1, 0, 4, 0, 4, 1, 3, 0, 3, 1, 0, 3, 1, 1, 3, 0, 2, 4, 2, 3, 4, 1, 0, 1, 2, 3, 0, 2, 4, 1, 1, 1, 4, 3, 1, 2, 0, 2, 0, 1, 4, 4, 4, 1, 1, 0, 1, 0, 3, 3, 4, 4, 1, 0, 1, 4, 2, 0, 4, 0, 0, 0, 4, 0, 3, 2, 4, 0, 0, 3, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 3, 1, 2, 4, 2, 2, 0, 2, 2, 1, 0, 4, 0, 0, 1, 2, 1, 1, 3, 1, 2, 4, 4, 1, 3, 0, 2, 0, 2, 4, 4, 1, 4, 2, 0, 3, 4, 0, 0, 4, 2, 4, 4, 3, 4, 2, 1, 1, 2, 1, 3, 0, 2, 3, 1, 4, 2, 1, 3, 3, 0, 4, 1, 3, 0]
pubkeycol1014 = [3, 2, 2, 3, 3, 4, 4, 0, 3, 0, 0, 3, 2, 2, 4, 1, 4, 2, 4, 3, 3, 4, 2, 3, 1, 4, 3, 1, 3, 3, 0, 0, 4, 1, 1, 3, 1, 4, 3, 0, 1, 4, 1, 2, 3, 0, 2, 3, 2, 1, 2, 4, 3, 1, 1, 0, 3, 2, 4, 4, 0, 3, 0, 3, 1, 3, 1, 1, 2, 1, 0, 1, 0, 3, 0, 4, 0, 1, 4, 0, 3, 1, 1, 4, 2, 1, 1, 2, 2, 1, 4, 0, 3, 2, 0, 2, 4, 3, 1, 2, 4, 4, 1, 3, 0, 0, 3, 1, 1, 2, 0, 1, 1, 1, 2, 3, 0, 2, 4, 4, 1, 4, 0, 4, 0, 4, 1, 3, 2, 4, 2, 0, 0, 1, 4, 3, 2, 2, 4, 4, 4, 2, 4, 0, 2, 0, 4, 4, 4, 3, 3, 0, 0, 3, 4, 0, 4, 0, 3, 0, 2, 4, 4, 4, 1, 1, 2, 4, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 3, 3, 2, 0, 0, 1, 0, 2, 2, 3, 2, 2, 0, 3, 0, 0, 2, 4, 4, 0, 3, 0, 1, 3, 2, 2, 4, 1, 0, 4, 4, 4, 3, 2, 4, 1, 3, 2, 2, 2, 1, 3, 2, 4, 3, 1, 3, 3, 0, 0, 4, 1, 2, 1, 3, 0, 2, 2, 1, 1, 4, 2, 1, 2, 3, 3, 1, 1, 2, 2, 2, 3, 3, 2, 3, 3, 4, 4, 2, 3, 1, 1, 0, 2, 4, 0, 0, 1, 2, 4, 0, 3, 2, 2, 3, 2, 4, 4, 4, 2, 2, 3, 1, 0, 4, 3, 0, 4, 1, 4, 4, 0, 3, 4, 1, 3, 4, 1, 4, 0, 2, 4, 0, 0, 1, 0, 3, 3, 3, 2, 2, 3, 2, 0, 1, 1, 4, 1, 3, 0, 3, 3, 4, 0, 4, 2, 2, 1, 4, 2, 3, 4, 1, 4, 1, 0, 1, 0, 2, 0, 3, 3, 1, 2, 0, 3, 0, 1, 2, 4, 4, 0, 3, 4, 3, 3, 4, 3, 3, 4, 1, 1, 3, 4, 0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 3, 2, 3, 1, 2, 1, 2, 0, 3, 0, 4, 0, 1, 2, 2, 4, 0, 0, 3, 0, 3, 2, 1, 1, 4, 0]
pubkeycol1015 = [4, 3, 0, 0, 1, 4, 0, 0, 2, 0, 4, 0, 0, 1, 2, 4, 2, 4, 4, 3, 3, 0, 3, 0, 0, 2, 2, 3, 0, 4, 3, 4, 1, 3, 2, 2, 0, 1, 3, 1, 1, 4, 4, 0, 3, 0, 2, 3, 2, 0, 0, 2, 1, 3, 2, 3, 1, 4, 2, 2, 1, 1, 2, 1, 3, 3, 0, 1, 4, 2, 0, 2, 4, 1, 1, 3, 3, 0, 4, 2, 1, 2, 1, 3, 1, 1, 3, 0, 2, 0, 2, 4, 2, 3, 4, 1, 1, 4, 2, 2, 4, 3, 2, 4, 3, 2, 3, 3, 0, 4, 4, 4, 3, 2, 1, 2, 0, 2, 1, 4, 2, 1, 3, 2, 4, 4, 1, 4, 2, 0, 4, 1, 1, 4, 4, 3, 2, 2, 1, 3, 0, 3, 1, 4, 0, 3, 2, 1, 0, 4, 1, 4, 3, 3, 2, 1, 0, 2, 1, 2, 0, 4, 3, 0, 0, 4, 1, 2, 0, 3, 0, 0, 3, 4, 2, 4, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 3, 3, 4, 2, 2, 4, 4, 3, 2, 3, 4, 0, 3, 0, 2, 0, 2, 3, 2, 1, 0, 2, 0, 2, 4, 1, 0, 2, 3, 4, 2, 0, 4, 1, 2, 2, 1, 2, 3, 1, 2, 0, 1, 3, 1, 0, 1, 1, 3, 1, 2, 0, 0, 2, 0, 2, 3, 0, 3, 3, 1, 3, 3, 4, 4, 2, 3, 0, 2, 2, 0, 3, 4, 1, 0, 4, 1, 4, 3, 0, 4, 1, 0, 2, 1, 0, 4, 2, 1, 2, 0, 4, 3, 4, 4, 2, 3, 2, 0, 3, 0, 2, 4, 3, 3, 4, 0, 1, 3, 4, 0, 1, 0, 0, 4, 0, 3, 3, 4, 4, 3, 1, 4, 4, 1, 4, 3, 2, 0, 2, 4, 4, 2, 4, 0, 0, 1, 3, 0, 2, 3, 3, 1, 0, 3, 1, 1, 1, 1, 1, 1, 4, 3, 4, 1, 2, 3, 1, 0, 4, 3, 0, 4, 2, 1, 4, 1, 0, 1, 3, 0, 4, 2, 1, 3, 4, 1, 2, 2, 2, 2, 3, 2, 1, 4, 3, 4, 0, 4, 1, 2, 0, 2, 3, 2, 0, 3, 2, 0, 2, 4, 0, 1, 0, 3, 1, 1, 2, 4, 1, 4, 2, 0]
pubkeycol1016 = [0, 3, 4, 0, 1, 2, 0, 3, 1, 4, 4, 2, 1, 2, 3, 4, 4, 1, 2, 4, 0, 2, 4, 3, 4, 2, 3, 2, 1, 3, 2, 0, 2, 2, 4, 2, 4, 4, 3, 4, 0, 4, 0, 4, 2, 0, 1, 2, 2, 0, 1, 3, 4, 3, 3, 2, 2, 1, 1, 4, 1, 0, 0, 0, 3, 0, 3, 2, 0, 1, 4, 3, 0, 4, 3, 2, 3, 1, 3, 3, 4, 0, 3, 0, 1, 0, 3, 4, 0, 0, 0, 1, 4, 2, 4, 0, 4, 4, 2, 1, 2, 4, 4, 3, 1, 0, 1, 1, 3, 1, 3, 1, 1, 2, 4, 2, 2, 2, 3, 3, 3, 1, 1, 2, 1, 1, 2, 3, 4, 0, 4, 4, 0, 4, 4, 1, 2, 0, 1, 1, 3, 2, 2, 4, 2, 3, 4, 4, 4, 1, 4, 0, 2, 2, 3, 3, 1, 0, 3, 2, 0, 3, 2, 3, 2, 2, 2, 1, 2, 0, 2, 1, 1, 4, 2, 1, 3, 2, 1, 0, 2, 0, 2, 2, 1, 2, 3, 4, 1, 4, 1, 3, 0, 0, 2, 4, 1, 4, 1, 3, 2, 0, 2, 1, 2, 2, 0, 4, 0, 2, 1, 1, 2, 1, 2, 4, 4, 4, 0, 0, 1, 2, 2, 3, 4, 0, 0, 2, 3, 3, 2, 4, 2, 1, 3, 1, 4, 1, 2, 3, 3, 0, 3, 3, 2, 0, 2, 0, 2, 2, 0, 4, 2, 3, 1, 1, 1, 0, 1, 0, 0, 4, 2, 4, 3, 0, 0, 2, 1, 2, 0, 3, 3, 1, 3, 4, 1, 4, 4, 4, 3, 0, 3, 4, 1, 4, 0, 0, 3, 2, 4, 1, 3, 0, 3, 3, 0, 3, 4, 0, 2, 2, 3, 1, 1, 0, 4, 2, 0, 0, 0, 4, 2, 3, 1, 3, 1, 1, 1, 3, 1, 1, 0, 3, 0, 1, 3, 4, 3, 3, 3, 4, 4, 3, 1, 4, 4, 0, 2, 3, 0, 0, 2, 0, 2, 3, 4, 2, 4, 4, 4, 1, 3, 4, 3, 1, 4, 0, 2, 0, 2, 4, 2, 0, 0, 1, 0, 1, 2, 1, 4, 2, 4, 2, 3, 1, 1, 0, 1, 0, 1, 3, 0, 4, 0, 0, 3, 0, 3, 1, 2, 1, 0, 2, 2, 3, 4, 1, 1, 0]
pubkeycol1017 = [0, 4, 4, 2, 4, 4, 4, 2, 3, 1, 0, 2, 1, 1, 1, 2, 4, 0, 3, 0, 3, 0, 3, 0, 4, 4, 1, 0, 4, 2, 0, 2, 3, 0, 3, 0, 1, 4, 2, 3, 2, 2, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 1, 2, 3, 1, 2, 0, 2, 0, 3, 0, 0, 1, 0, 1, 0, 0, 4, 1, 0, 1, 4, 4, 0, 0, 3, 0, 4, 4, 1, 2, 3, 2, 3, 1, 2, 2, 1, 2, 4, 3, 0, 2, 3, 3, 3, 1, 1, 4, 4, 3, 1, 2, 2, 3, 4, 2, 2, 1, 1, 1, 2, 2, 1, 3, 0, 4, 1, 2, 4, 4, 4, 4, 3, 0, 4, 1, 2, 0, 4, 0, 2, 0, 0, 2, 2, 0, 0, 3, 1, 0, 4, 2, 0, 3, 0, 2, 1, 3, 0, 4, 3, 4, 1, 3, 3, 4, 1, 2, 2, 0, 4, 4, 0, 0, 4, 0, 2, 1, 1, 4, 3, 2, 0, 1, 2, 0, 1, 4, 1, 1, 4, 4, 2, 2, 2, 0, 0, 1, 4, 3, 4, 0, 0, 2, 4, 0, 0, 1, 0, 3, 3, 2, 0, 1, 0, 4, 3, 4, 2, 1, 0, 3, 1, 4, 0, 3, 4, 1, 4, 1, 1, 2, 1, 4, 4, 0, 3, 0, 0, 0, 4, 1, 1, 2, 4, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 3, 0, 3, 4, 3, 2, 3, 1, 3, 0, 1, 4, 3, 1, 3, 1, 0, 4, 0, 3, 3, 3, 0, 3, 1, 3, 1, 4, 0, 1, 2, 2, 0, 4, 2, 4, 1, 3, 2, 1, 1, 4, 0, 0, 0, 2, 4, 4, 0, 0, 1, 4, 1, 1, 1, 2, 4, 1, 4, 1, 4, 2, 1, 0, 2, 1, 2, 2, 2, 3, 0, 1, 2, 2, 3, 2, 3, 4, 1, 0, 3, 2, 2, 1, 2, 0, 2, 2, 0, 4, 3, 3, 2, 3, 0, 3, 4, 2, 4, 3, 2, 2, 0, 2, 0, 2, 4, 2, 0, 2, 4, 2, 3, 2, 0, 3, 2, 3, 4, 3, 2, 2, 0, 1, 1, 0, 4, 2, 3, 4, 0, 4, 4, 2, 2, 4, 4, 4, 4, 4, 3, 1, 3, 0, 2, 3, 0, 2]
pubkeycol1018 = [1, 2, 2, 2, 3, 3, 4, 2, 4, 4, 4, 1, 0, 3, 4, 3, 4, 4, 1, 1, 0, 4, 0, 3, 2, 1, 0, 0, 4, 2, 0, 1, 2, 3, 0, 3, 2, 0, 4, 2, 3, 2, 0, 3, 4, 0, 4, 1, 2, 1, 4, 4, 0, 4, 1, 0, 4, 2, 4, 1, 2, 1, 3, 4, 0, 4, 1, 0, 3, 4, 3, 2, 0, 3, 0, 1, 2, 1, 3, 0, 2, 0, 1, 1, 2, 1, 2, 4, 4, 0, 1, 4, 1, 2, 4, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 1, 2, 2, 3, 3, 3, 2, 4, 0, 4, 2, 0, 4, 2, 0, 0, 1, 3, 1, 3, 0, 0, 3, 4, 1, 3, 3, 3, 4, 3, 4, 1, 3, 1, 1, 4, 3, 0, 0, 1, 0, 2, 1, 2, 4, 1, 4, 1, 0, 3, 0, 3, 4, 1, 1, 1, 1, 0, 1, 0, 3, 1, 0, 2, 3, 0, 3, 4, 3, 1, 2, 2, 0, 2, 4, 3, 0, 3, 1, 2, 4, 0, 2, 0, 3, 3, 3, 3, 0, 2, 2, 1, 3, 1, 4, 4, 2, 4, 0, 0, 1, 2, 4, 1, 3, 4, 1, 1, 2, 1, 3, 0, 4, 2, 2, 2, 1, 3, 1, 3, 2, 4, 0, 0, 1, 4, 4, 0, 1, 4, 3, 0, 3, 3, 3, 4, 2, 1, 3, 3, 0, 2, 3, 0, 0, 2, 4, 0, 1, 0, 3, 4, 3, 4, 4, 4, 3, 2, 4, 0, 4, 0, 0, 2, 2, 4, 0, 3, 4, 0, 3, 3, 0, 2, 1, 2, 0, 4, 0, 4, 0, 3, 2, 1, 3, 4, 0, 4, 0, 4, 1, 4, 1, 0, 0, 4, 0, 3, 2, 1, 2, 2, 0, 3, 2, 2, 2, 4, 3, 2, 2, 0, 2, 3, 4, 0, 0, 4, 4, 4, 0, 2, 4, 3, 1, 4, 0, 4, 0, 3, 2, 2, 4, 0, 1, 0, 0, 4, 1, 0, 1, 1, 1, 1, 3, 2, 0, 2, 4, 4, 4, 0, 1, 4, 3, 1, 4, 0, 2, 0, 0, 3, 3, 1, 2, 3, 1, 1, 0, 2, 4, 3, 0, 3, 0, 3, 1, 1, 1, 0, 2, 2, 0, 2, 0, 4, 4, 4, 2, 1, 3, 3, 1, 3, 1]
pubkeycol1019 = [2, 3, 4, 1, 0, 1, 0, 1, 4, 1, 4, 0, 1, 4, 3, 4, 4, 4, 2, 1, 1, 0, 2, 3, 0, 2, 1, 2, 0, 4, 0, 3, 0, 1, 0, 3, 4, 4, 2, 2, 4, 1, 4, 4, 2, 2, 0, 1, 0, 3, 0, 3, 4, 2, 2, 0, 1, 3, 0, 1, 1, 4, 2, 3, 4, 3, 3, 2, 0, 1, 1, 0, 4, 0, 3, 1, 0, 2, 0, 2, 0, 2, 1, 3, 0, 1, 2, 0, 2, 3, 1, 0, 4, 3, 0, 4, 2, 2, 0, 0, 0, 4, 2, 1, 3, 2, 1, 1, 1, 0, 1, 4, 2, 0, 3, 0, 2, 1, 2, 3, 4, 4, 3, 2, 3, 0, 1, 3, 0, 4, 2, 3, 4, 1, 3, 4, 0, 1, 3, 2, 4, 1, 3, 1, 2, 3, 2, 0, 4, 4, 3, 2, 2, 1, 1, 2, 3, 0, 1, 4, 4, 2, 0, 3, 3, 4, 0, 4, 3, 4, 1, 1, 3, 0, 2, 4, 4, 3, 0, 3, 0, 4, 0, 4, 3, 3, 3, 4, 3, 0, 4, 4, 4, 3, 4, 1, 2, 1, 3, 0, 0, 2, 0, 1, 0, 4, 1, 2, 1, 1, 3, 0, 0, 1, 4, 1, 2, 1, 3, 1, 4, 2, 1, 2, 1, 0, 3, 0, 1, 4, 4, 1, 3, 3, 1, 2, 1, 0, 4, 2, 0, 3, 4, 4, 2, 0, 1, 1, 0, 4, 3, 0, 2, 0, 2, 2, 3, 0, 2, 3, 1, 3, 1, 0, 3, 2, 3, 1, 1, 4, 4, 1, 1, 1, 0, 2, 1, 4, 0, 0, 2, 2, 0, 0, 4, 3, 0, 2, 0, 1, 4, 0, 1, 1, 0, 3, 2, 0, 4, 2, 4, 3, 4, 0, 0, 2, 1, 1, 3, 2, 2, 1, 2, 1, 1, 2, 3, 2, 3, 1, 0, 3, 3, 1, 4, 0, 0, 4, 1, 3, 4, 4, 1, 3, 3, 0, 0, 3, 3, 1, 1, 2, 2, 4, 3, 3, 0, 0, 0, 4, 3, 0, 2, 4, 4, 3, 0, 3, 1, 1, 0, 4, 0, 0, 1, 1, 4, 4, 3, 2, 4, 2, 0, 3, 2, 1, 0, 3, 1, 2, 3, 0, 2, 2, 4, 0, 0, 1, 4, 2, 1, 1, 2, 1, 4, 3, 2, 4, 1, 3]
pubkeycol1020 = [4, 2, 0, 2, 1, 1, 1, 3, 2, 3, 2, 2, 0, 2, 1, 3, 4, 0, 3, 3, 1, 4, 1, 1, 4, 0, 2, 3, 0, 2, 1, 1, 2, 4, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 3, 1, 2, 0, 2, 1, 1, 3, 0, 4, 0, 3, 0, 0, 3, 2, 1, 4, 0, 0, 4, 3, 3, 1, 2, 4, 3, 3, 0, 2, 2, 4, 0, 4, 4, 1, 4, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 3, 0, 1, 0, 0, 2, 3, 2, 2, 1, 0, 0, 4, 1, 2, 0, 1, 2, 1, 3, 4, 2, 4, 1, 4, 3, 3, 2, 0, 3, 0, 3, 2, 3, 1, 3, 2, 3, 2, 3, 4, 0, 4, 1, 3, 4, 2, 3, 4, 4, 1, 1, 3, 2, 4, 4, 4, 0, 3, 0, 0, 4, 3, 0, 1, 1, 2, 0, 0, 3, 2, 4, 0, 0, 0, 4, 0, 3, 3, 3, 1, 0, 0, 0, 2, 4, 0, 1, 0, 3, 0, 2, 1, 0, 3, 3, 4, 4, 1, 3, 2, 4, 2, 4, 2, 2, 1, 0, 0, 4, 1, 2, 1, 2, 1, 4, 3, 3, 2, 1, 3, 2, 4, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 3, 4, 3, 0, 3, 3, 4, 1, 4, 1, 0, 2, 2, 4, 1, 4, 4, 1, 2, 4, 4, 2, 3, 0, 3, 3, 2, 2, 2, 0, 0, 1, 1, 3, 3, 4, 0, 1, 0, 1, 0, 2, 3, 3, 4, 1, 0, 2, 0, 1, 0, 2, 1, 0, 4, 4, 3, 4, 3, 3, 3, 4, 2, 4, 2, 4, 1, 2, 0, 0, 0, 4, 4, 2, 3, 2, 0, 3, 4, 0, 2, 0, 2, 3, 2, 3, 3, 0, 0, 3, 4, 1, 1, 1, 2, 3, 4, 2, 1, 0, 0, 3, 0, 4, 1, 1, 0, 0, 0, 0, 4, 1, 4, 1, 3, 3, 4, 1, 4, 2, 0, 4, 2, 3, 3, 1, 3, 1, 1, 4, 4, 4, 3, 2, 0, 0, 0, 2, 1, 2, 1, 1, 4, 2, 0, 1, 0, 4, 1, 4, 2, 3, 4, 0, 1, 4, 0, 3, 0, 1, 2, 2, 2, 4, 1, 4, 1, 3, 0, 4, 1]
pubkeycol1021 = [4, 4, 2, 3, 0, 4, 3, 1, 0, 2, 1, 3, 4, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 4, 1, 1, 2, 3, 1, 1, 3, 4, 0, 3, 1, 0, 0, 0, 0, 2, 4, 2, 2, 4, 1, 3, 2, 0, 2, 2, 3, 2, 3, 2, 2, 2, 0, 2, 4, 2, 3, 2, 2, 0, 0, 1, 3, 1, 0, 2, 0, 4, 3, 4, 4, 3, 1, 1, 3, 1, 2, 1, 0, 0, 3, 1, 0, 3, 2, 4, 1, 4, 2, 1, 2, 0, 2, 1, 3, 4, 0, 1, 4, 2, 2, 2, 1, 0, 3, 1, 0, 3, 1, 3, 2, 4, 4, 2, 2, 0, 1, 2, 2, 0, 1, 4, 0, 1, 4, 0, 2, 4, 4, 2, 1, 3, 1, 1, 1, 3, 4, 1, 3, 3, 4, 1, 4, 4, 4, 3, 3, 3, 4, 3, 2, 1, 2, 4, 1, 4, 4, 4, 0, 0, 1, 4, 0, 0, 0, 0, 1, 3, 0, 3, 2, 1, 4, 3, 4, 0, 4, 0, 1, 4, 4, 2, 3, 4, 0, 0, 0, 3, 3, 2, 4, 2, 2, 4, 1, 0, 2, 2, 2, 3, 1, 2, 0, 2, 4, 1, 3, 2, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 4, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 3, 4, 0, 1, 4, 3, 1, 2, 1, 1, 4, 4, 0, 2, 3, 1, 0, 1, 3, 0, 2, 4, 2, 3, 0, 4, 0, 3, 2, 0, 0, 1, 2, 4, 2, 3, 0, 2, 1, 0, 4, 0, 1, 3, 0, 2, 2, 1, 0, 4, 2, 0, 0, 4, 1, 4, 4, 3, 3, 2, 2, 2, 3, 2, 3, 0, 1, 3, 1, 3, 4, 1, 4, 0, 2, 3, 2, 2, 2, 0, 0, 3, 1, 4, 3, 3, 0, 1, 0, 1, 0, 1, 3, 3, 2, 2, 1, 3, 4, 2, 3, 3, 3, 4, 4, 0, 4, 0, 4, 1, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 4, 4, 1, 0, 1, 0, 0, 2, 2, 1, 4, 2, 4, 2, 4, 1, 4, 1, 2, 2, 3, 4, 1, 1, 3, 4, 0, 2, 0, 2, 2, 3, 3, 2, 4, 3]
pubkeycol1022 = [2, 3, 1, 1, 4, 3, 0, 3, 3, 3, 4, 2, 0, 1, 1, 4, 0, 3, 0, 2, 1, 1, 3, 1, 1, 2, 2, 4, 0, 2, 4, 4, 0, 1, 2, 0, 0, 2, 1, 3, 0, 2, 4, 0, 0, 4, 3, 3, 4, 1, 1, 4, 3, 2, 2, 1, 2, 1, 3, 0, 2, 1, 0, 3, 1, 0, 4, 4, 1, 0, 0, 1, 1, 4, 1, 2, 2, 1, 1, 3, 3, 4, 3, 4, 1, 3, 0, 1, 4, 2, 3, 2, 0, 3, 2, 4, 4, 1, 4, 4, 0, 3, 3, 3, 2, 0, 3, 1, 0, 3, 0, 4, 1, 1, 3, 0, 4, 4, 4, 0, 2, 3, 2, 0, 3, 3, 2, 1, 3, 4, 4, 1, 4, 0, 0, 2, 2, 2, 3, 2, 4, 3, 0, 0, 3, 4, 0, 3, 2, 4, 4, 3, 3, 1, 2, 2, 2, 3, 1, 3, 4, 4, 4, 4, 4, 4, 1, 4, 0, 3, 4, 2, 2, 3, 4, 3, 3, 1, 1, 0, 4, 2, 3, 0, 2, 4, 4, 4, 3, 3, 4, 1, 4, 4, 3, 4, 4, 3, 4, 3, 2, 2, 1, 3, 3, 2, 3, 0, 1, 0, 3, 3, 3, 3, 2, 1, 2, 3, 1, 1, 0, 1, 4, 1, 1, 0, 2, 4, 0, 1, 2, 3, 1, 2, 4, 4, 4, 2, 0, 0, 2, 2, 0, 0, 1, 1, 4, 4, 2, 2, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 0, 0, 2, 2, 1, 4, 2, 2, 0, 2, 0, 0, 4, 0, 2, 1, 0, 2, 4, 3, 3, 2, 1, 4, 0, 2, 2, 3, 4, 1, 2, 0, 1, 0, 2, 2, 0, 2, 4, 4, 0, 1, 0, 3, 2, 2, 2, 4, 2, 0, 4, 4, 0, 1, 1, 4, 2, 1, 2, 2, 3, 3, 2, 1, 0, 1, 0, 1, 0, 4, 0, 3, 3, 2, 2, 1, 0, 1, 4, 2, 4, 1, 2, 4, 3, 3, 2, 2, 3, 0, 3, 2, 4, 0, 0, 3, 2, 2, 0, 2, 3, 0, 3, 2, 1, 4, 2, 2, 0, 3, 3, 0, 3, 4, 0, 3, 1, 3, 0, 4, 3, 3, 3, 4, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 4, 3, 3, 0, 3]
pubkeycol1023 = [3, 4, 1, 4, 0, 0, 2, 4, 4, 0, 3, 2, 3, 0, 3, 3, 1, 3, 2, 3, 1, 2, 2, 4, 0, 3, 0, 3, 2, 1, 2, 1, 4, 3, 0, 1, 2, 3, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 4, 2, 0, 0, 1, 1, 3, 0, 2, 4, 3, 3, 0, 4, 0, 0, 3, 0, 0, 1, 0, 2, 4, 3, 0, 1, 2, 2, 1, 3, 0, 1, 0, 4, 4, 0, 0, 1, 3, 3, 0, 1, 0, 3, 4, 4, 2, 0, 2, 3, 3, 2, 4, 3, 0, 4, 2, 4, 2, 1, 3, 3, 3, 4, 3, 0, 2, 1, 4, 1, 1, 3, 3, 0, 0, 3, 0, 1, 0, 1, 2, 2, 1, 1, 3, 0, 2, 4, 1, 4, 1, 3, 0, 3, 3, 4, 2, 0, 0, 4, 2, 2, 1, 3, 4, 3, 3, 3, 0, 4, 2, 4, 2, 3, 2, 4, 4, 3, 4, 3, 2, 0, 3, 2, 1, 3, 4, 0, 0, 3, 3, 0, 0, 1, 1, 4, 4, 2, 0, 1, 0, 3, 2, 4, 1, 4, 4, 0, 0, 1, 2, 3, 0, 4, 1, 3, 0, 4, 3, 1, 1, 2, 0, 0, 4, 3, 0, 3, 4, 0, 1, 4, 4, 4, 0, 0, 3, 4, 3, 1, 1, 4, 4, 0, 0, 4, 3, 3, 3, 1, 4, 1, 4, 3, 4, 1, 4, 2, 4, 3, 0, 1, 1, 2, 0, 4, 3, 4, 4, 1, 0, 4, 2, 4, 1, 3, 2, 4, 2, 4, 2, 3, 1, 2, 1, 1, 3, 3, 3, 3, 4, 0, 4, 0, 0, 4, 3, 1, 2, 2, 0, 3, 3, 3, 4, 2, 0, 1, 4, 4, 4, 3, 1, 4, 4, 0, 4, 1, 2, 3, 4, 1, 0, 4, 0, 4, 3, 2, 4, 0, 2, 4, 3, 0, 3, 2, 0, 1, 1, 4, 4, 2, 0, 4, 0, 1, 4, 0, 3, 0, 3, 2, 0, 0, 3, 0, 1, 4, 1, 2, 1, 3, 4, 2, 1, 0, 1, 0, 3, 4, 3, 0, 1, 2, 3, 4, 1, 2, 0, 3, 3, 4, 1, 1, 4, 0, 0, 3, 4, 4, 2, 2, 4, 1, 3, 0, 2, 1, 1, 2, 3, 1, 3, 0, 0, 1, 3, 3, 4, 1, 4]
pubkeycol1024 = [1, 0, 1, 4, 3, 2, 0, 1, 1, 0, 3, 3, 2, 2, 3, 1, 0, 1, 4, 0, 0, 1, 4, 4, 2, 3, 2, 2, 3, 2, 2, 1, 2, 1, 1, 2, 3, 3, 4, 2, 1, 4, 3, 0, 3, 1, 4, 1, 3, 1, 0, 0, 2, 4, 3, 2, 0, 0, 1, 2, 4, 4, 1, 1, 2, 1, 4, 4, 1, 2, 2, 0, 0, 4, 4, 1, 0, 2, 4, 0, 4, 3, 3, 4, 1, 0, 0, 1, 0, 0, 4, 4, 0, 4, 1, 4, 4, 4, 0, 0, 2, 3, 3, 0, 4, 2, 0, 0, 1, 4, 0, 1, 3, 3, 0, 2, 3, 2, 0, 4, 2, 2, 4, 3, 4, 2, 0, 1, 1, 4, 1, 4, 4, 3, 1, 0, 1, 0, 1, 4, 3, 2, 4, 4, 2, 2, 1, 3, 4, 4, 1, 2, 2, 0, 2, 2, 3, 2, 0, 2, 0, 1, 2, 2, 4, 0, 2, 0, 4, 1, 2, 4, 2, 0, 2, 2, 1, 1, 1, 0, 3, 2, 3, 4, 0, 2, 3, 1, 4, 4, 2, 0, 4, 4, 1, 2, 1, 3, 1, 0, 0, 4, 4, 2, 4, 4, 4, 3, 4, 2, 4, 4, 2, 3, 3, 1, 0, 1, 1, 3, 3, 3, 0, 0, 4, 0, 4, 2, 2, 2, 1, 4, 1, 4, 4, 3, 0, 2, 2, 0, 2, 2, 4, 1, 0, 4, 2, 4, 4, 3, 4, 2, 0, 4, 1, 0, 1, 3, 1, 2, 4, 1, 4, 0, 0, 0, 2, 3, 2, 4, 3, 3, 2, 0, 3, 2, 3, 1, 2, 4, 3, 1, 3, 4, 0, 2, 2, 4, 1, 1, 3, 4, 2, 1, 4, 3, 1, 2, 4, 2, 1, 2, 2, 3, 1, 1, 0, 2, 4, 2, 2, 2, 2, 2, 3, 1, 2, 4, 3, 0, 2, 1, 0, 4, 2, 4, 4, 1, 3, 3, 3, 3, 3, 4, 0, 2, 2, 0, 2, 3, 4, 0, 4, 3, 0, 3, 0, 0, 4, 1, 3, 3, 2, 1, 3, 2, 1, 2, 3, 1, 0, 4, 4, 0, 2, 0, 0, 0, 3, 1, 0, 2, 1, 2, 1, 4, 0, 0, 1, 0, 1, 4, 1, 1, 0, 2, 1, 4, 4, 4, 0, 4, 4, 4, 4, 4, 1, 3, 4, 1]
pubkeycol1025 = [2, 1, 1, 2, 4, 4, 3, 3, 4, 1, 2, 0, 2, 4, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 4, 1, 0, 3, 4, 1, 4, 1, 1, 1, 0, 0, 3, 4, 4, 4, 1, 4, 0, 3, 4, 1, 2, 1, 2, 1, 2, 1, 4, 4, 3, 2, 2, 0, 0, 4, 2, 3, 4, 3, 1, 4, 4, 3, 0, 0, 3, 4, 2, 1, 3, 4, 4, 0, 4, 2, 1, 3, 0, 3, 0, 4, 2, 2, 2, 4, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 3, 2, 2, 2, 0, 3, 4, 2, 0, 0, 1, 1, 1, 4, 1, 1, 4, 2, 2, 3, 0, 0, 3, 0, 1, 0, 2, 4, 1, 1, 0, 1, 0, 0, 3, 3, 1, 3, 2, 3, 3, 2, 4, 0, 3, 2, 3, 1, 1, 1, 0, 0, 4, 4, 1, 0, 4, 3, 4, 1, 1, 4, 2, 4, 2, 1, 2, 4, 3, 1, 4, 4, 3, 1, 3, 4, 1, 2, 4, 4, 4, 2, 4, 3, 2, 4, 0, 4, 1, 2, 1, 0, 3, 4, 0, 0, 2, 1, 4, 1, 0, 3, 2, 2, 1, 0, 3, 1, 0, 1, 3, 3, 3, 2, 0, 1, 3, 0, 0, 4, 4, 1, 4, 2, 2, 3, 0, 2, 4, 4, 0, 2, 2, 0, 0, 2, 4, 0, 3, 1, 4, 4, 2, 0, 2, 4, 2, 3, 2, 0, 0, 1, 3, 3, 0, 4, 4, 0, 0, 3, 4, 3, 4, 1, 2, 3, 2, 2, 0, 2, 2, 3, 0, 0, 2, 4, 1, 2, 4, 4, 1, 1, 4, 4, 3, 1, 4, 2, 0, 0, 3, 0, 2, 3, 3, 1, 0, 2, 4, 1, 1, 4, 0, 1, 3, 0, 1, 3, 3, 1, 2, 3, 4, 2, 1, 0, 0, 2, 2, 2, 2, 3, 4, 0, 3, 4, 2, 0, 4, 4, 2, 0, 4, 4, 1, 4, 1, 2, 1, 1, 4, 3, 1, 2, 0, 2, 2, 2, 0, 0, 4, 2, 3, 0, 2, 3, 4, 3, 3, 0, 0, 3, 3, 4, 0, 1, 1, 1, 4, 1, 0, 4, 2, 0, 3, 4, 0, 1, 0, 4, 1, 3, 3, 2, 1, 4, 2, 4, 3, 2, 3, 0, 0, 3, 3, 4, 3, 0, 0, 4]
pubkeycol1026 = [1, 0, 1, 0, 3, 3, 0, 3, 4, 2, 3, 0, 2, 3, 1, 0, 3, 1, 4, 1, 0, 1, 3, 1, 4, 2, 3, 3, 1, 4, 3, 2, 4, 0, 0, 1, 1, 0, 4, 0, 2, 3, 2, 2, 2, 3, 3, 4, 0, 1, 2, 0, 4, 3, 2, 0, 3, 2, 3, 4, 1, 3, 4, 3, 1, 1, 2, 1, 0, 4, 4, 3, 3, 1, 0, 4, 1, 0, 1, 1, 4, 1, 4, 3, 1, 1, 3, 4, 2, 1, 2, 4, 1, 4, 0, 1, 1, 4, 3, 1, 1, 4, 3, 2, 3, 3, 1, 0, 0, 1, 1, 4, 1, 0, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 0, 3, 4, 1, 0, 3, 0, 0, 1, 1, 2, 0, 0, 3, 0, 1, 3, 3, 4, 1, 0, 3, 1, 0, 3, 0, 4, 3, 2, 0, 2, 3, 4, 1, 2, 0, 1, 4, 1, 2, 3, 2, 1, 2, 1, 2, 4, 1, 3, 2, 3, 3, 3, 0, 1, 3, 1, 4, 2, 4, 1, 4, 1, 2, 2, 2, 2, 4, 2, 2, 3, 1, 1, 0, 1, 2, 2, 4, 0, 1, 4, 3, 4, 4, 0, 3, 4, 4, 2, 3, 0, 0, 4, 3, 0, 2, 4, 1, 3, 3, 4, 1, 0, 4, 4, 1, 0, 3, 3, 4, 3, 3, 3, 0, 4, 1, 4, 1, 3, 2, 4, 3, 4, 0, 3, 1, 1, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 3, 4, 1, 0, 3, 3, 0, 0, 0, 0, 1, 3, 4, 1, 1, 1, 1, 0, 2, 2, 3, 2, 3, 4, 0, 0, 1, 3, 0, 0, 0, 4, 2, 2, 4, 2, 1, 0, 2, 4, 0, 3, 2, 1, 2, 3, 4, 0, 0, 1, 2, 3, 1, 0, 2, 4, 3, 3, 0, 4, 0, 0, 0, 3, 4, 4, 4, 1, 4, 1, 0, 2, 1, 4, 0, 3, 3, 3, 2, 1, 3, 3, 2, 3, 3, 2, 0, 0, 4, 1, 4, 1, 0, 2, 1, 1, 0, 0, 0, 0, 4, 0, 1, 4, 1, 1, 4, 0, 0, 1, 0, 3, 2, 3, 3, 2, 0, 2, 3, 2, 3, 0, 4, 3, 1, 3, 4, 2, 3, 2, 2, 2, 2, 1, 1, 3, 4, 3, 1]
pubkeycol1027 = [2, 4, 4, 1, 2, 4, 0, 1, 1, 1, 3, 2, 2, 0, 3, 1, 0, 1, 4, 4, 1, 4, 3, 0, 4, 4, 0, 2, 3, 0, 1, 1, 2, 4, 0, 4, 0, 3, 3, 0, 3, 0, 3, 0, 3, 1, 3, 4, 1, 3, 2, 3, 1, 2, 4, 0, 2, 3, 3, 4, 0, 4, 3, 1, 1, 3, 1, 3, 2, 3, 4, 4, 2, 2, 2, 1, 2, 4, 2, 1, 0, 4, 3, 1, 1, 4, 1, 3, 3, 4, 1, 2, 4, 3, 1, 2, 0, 2, 4, 4, 3, 1, 3, 0, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 3, 2, 3, 2, 0, 1, 3, 3, 2, 4, 1, 1, 3, 3, 1, 2, 0, 3, 2, 4, 3, 0, 3, 3, 3, 4, 1, 4, 1, 4, 3, 3, 0, 0, 4, 0, 2, 3, 3, 4, 4, 2, 0, 4, 0, 2, 1, 4, 2, 3, 2, 1, 2, 0, 4, 3, 4, 0, 3, 3, 3, 3, 0, 1, 2, 0, 4, 0, 3, 2, 0, 1, 0, 3, 3, 1, 0, 0, 1, 4, 0, 0, 4, 3, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 3, 2, 2, 3, 2, 0, 0, 2, 0, 1, 3, 3, 3, 2, 1, 2, 0, 0, 2, 1, 1, 1, 4, 0, 1, 1, 1, 2, 3, 0, 1, 4, 4, 2, 3, 2, 0, 0, 1, 1, 2, 3, 2, 0, 0, 3, 1, 4, 4, 0, 2, 3, 3, 1, 4, 3, 3, 2, 0, 2, 4, 2, 2, 1, 3, 1, 3, 1, 0, 3, 2, 4, 3, 2, 0, 3, 2, 1, 1, 0, 0, 1, 2, 0, 0, 4, 3, 0, 2, 4, 1, 0, 3, 4, 2, 0, 2, 2, 1, 1, 4, 3, 4, 2, 4, 4, 3, 3, 2, 3, 3, 0, 4, 4, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 4, 0, 0, 4, 1, 4, 2, 0, 2, 3, 1, 0, 3, 0, 4, 3, 3, 3, 3, 2, 2, 1, 0, 3, 2, 2, 0, 2, 3, 3, 1, 1, 1, 1, 2, 3, 2, 3, 1, 2, 2, 0, 2, 3, 1, 0, 3, 2, 3, 4, 4, 3, 1, 2, 0, 3, 3, 2, 3, 3, 1, 4, 1]
pubkeycol1028 = [4, 1, 2, 4, 2, 3, 2, 4, 3, 1, 1, 0, 2, 0, 4, 4, 4, 3, 3, 3, 4, 1, 3, 3, 4, 3, 3, 2, 1, 4, 2, 4, 2, 3, 0, 1, 3, 3, 1, 0, 1, 1, 3, 3, 1, 1, 2, 2, 0, 2, 1, 2, 3, 3, 2, 4, 1, 2, 1, 4, 2, 3, 1, 0, 4, 0, 3, 1, 1, 2, 2, 1, 0, 4, 1, 2, 1, 4, 0, 3, 4, 4, 2, 1, 1, 2, 2, 2, 0, 1, 4, 4, 0, 2, 4, 4, 2, 4, 2, 0, 0, 2, 2, 0, 1, 2, 0, 4, 3, 0, 4, 1, 2, 1, 2, 0, 2, 2, 2, 1, 3, 1, 4, 1, 2, 2, 3, 2, 1, 0, 3, 3, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 4, 1, 3, 4, 0, 4, 2, 4, 3, 4, 0, 1, 0, 1, 3, 2, 4, 4, 2, 0, 4, 2, 1, 4, 0, 2, 4, 4, 1, 2, 3, 1, 3, 2, 2, 2, 1, 2, 4, 0, 3, 4, 0, 1, 0, 2, 0, 4, 0, 1, 2, 0, 4, 4, 3, 0, 1, 2, 4, 2, 3, 2, 3, 3, 2, 3, 3, 0, 2, 1, 3, 0, 3, 2, 2, 0, 2, 1, 2, 3, 3, 2, 2, 2, 4, 3, 3, 4, 0, 1, 1, 3, 1, 1, 0, 4, 4, 4, 4, 0, 0, 4, 3, 2, 4, 1, 2, 1, 2, 3, 2, 1, 1, 2, 4, 1, 2, 4, 3, 1, 0, 4, 2, 3, 1, 2, 4, 2, 4, 3, 2, 2, 1, 4, 0, 4, 1, 4, 3, 3, 4, 2, 1, 0, 2, 1, 3, 0, 4, 0, 3, 4, 0, 4, 4, 3, 2, 1, 4, 1, 1, 4, 1, 3, 3, 4, 4, 3, 0, 2, 4, 0, 4, 0, 2, 3, 4, 3, 2, 3, 2, 2, 3, 0, 0, 3, 3, 4, 2, 0, 0, 2, 1, 2, 1, 0, 4, 0, 1, 4, 3, 1, 1, 3, 2, 4, 1, 0, 2, 2, 4, 2, 0, 4, 0, 0, 2, 2, 2, 2, 4, 4, 1, 2, 2, 2, 4, 0, 4, 2, 4, 0, 0, 2, 4, 2, 1, 0, 2, 2, 2, 1, 2, 1, 3, 4, 2, 3, 0, 0, 0, 0]
pubkeycol1029 = [0, 0, 3, 4, 1, 4, 0, 3, 4, 0, 1, 4, 3, 0, 0, 3, 1, 2, 0, 4, 2, 4, 3, 3, 1, 2, 0, 0, 2, 3, 1, 4, 3, 0, 1, 1, 3, 0, 0, 4, 0, 3, 2, 2, 1, 1, 1, 2, 3, 0, 3, 1, 2, 4, 3, 2, 2, 1, 0, 0, 0, 0, 1, 3, 4, 0, 3, 3, 2, 1, 4, 1, 1, 3, 3, 1, 1, 3, 3, 0, 0, 0, 0, 4, 0, 2, 1, 1, 4, 1, 0, 2, 2, 2, 3, 4, 1, 1, 3, 3, 4, 1, 1, 0, 3, 0, 2, 1, 2, 2, 1, 1, 2, 0, 4, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 4, 2, 2, 4, 4, 4, 0, 3, 1, 0, 1, 1, 2, 0, 2, 3, 3, 2, 3, 1, 0, 4, 3, 0, 0, 2, 2, 3, 1, 0, 2, 2, 3, 2, 3, 2, 1, 2, 1, 3, 1, 2, 3, 2, 0, 3, 4, 4, 3, 2, 1, 3, 2, 2, 3, 1, 2, 2, 0, 1, 4, 3, 4, 0, 1, 4, 3, 3, 2, 1, 2, 0, 3, 3, 2, 3, 4, 0, 0, 0, 0, 1, 2, 4, 1, 2, 3, 2, 4, 2, 1, 2, 3, 1, 3, 3, 2, 0, 1, 0, 1, 0, 4, 4, 1, 2, 4, 1, 0, 3, 3, 2, 0, 4, 1, 4, 0, 2, 1, 4, 3, 4, 1, 1, 1, 3, 4, 0, 0, 2, 4, 2, 3, 0, 2, 0, 4, 1, 3, 0, 2, 1, 3, 0, 0, 1, 0, 3, 4, 2, 2, 4, 4, 3, 2, 4, 2, 4, 1, 1, 3, 2, 2, 0, 2, 3, 1, 3, 2, 2, 1, 1, 0, 4, 0, 2, 4, 4, 4, 2, 4, 4, 0, 1, 3, 2, 0, 2, 2, 2, 0, 1, 1, 2, 3, 1, 4, 1, 3, 3, 0, 4, 1, 4, 0, 3, 4, 4, 3, 3, 3, 3, 3, 4, 1, 4, 4, 3, 1, 1, 1, 0, 3, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 4, 3, 4, 3, 3, 4, 2, 1, 3, 1, 4, 0, 2, 0, 4, 0, 4, 1, 2, 2, 2, 1, 0, 3, 1, 4, 2, 1, 0, 4, 3, 0, 0, 0, 3, 4, 3, 2, 3, 3, 1, 0]
pubkeycol1030 = [2, 0, 1, 4, 0, 2, 1, 1, 4, 3, 1, 3, 1, 1, 4, 2, 3, 4, 1, 2, 1, 4, 1, 3, 2, 3, 1, 3, 2, 0, 4, 1, 1, 1, 3, 1, 2, 3, 2, 2, 2, 3, 2, 0, 3, 0, 1, 0, 2, 4, 0, 4, 0, 0, 0, 0, 3, 1, 2, 2, 4, 0, 4, 3, 0, 3, 4, 4, 3, 1, 4, 2, 0, 0, 4, 4, 0, 2, 2, 4, 2, 4, 1, 4, 3, 1, 0, 4, 3, 3, 0, 1, 0, 3, 2, 3, 0, 1, 0, 2, 1, 4, 3, 4, 4, 1, 4, 2, 3, 4, 1, 0, 1, 3, 0, 3, 1, 4, 1, 0, 1, 0, 0, 1, 2, 2, 3, 1, 1, 2, 2, 3, 4, 1, 3, 2, 2, 0, 0, 4, 4, 4, 2, 2, 0, 0, 0, 4, 4, 1, 4, 3, 3, 2, 4, 1, 2, 4, 0, 1, 2, 3, 1, 4, 1, 1, 4, 4, 2, 1, 1, 3, 2, 1, 0, 1, 3, 3, 4, 1, 0, 2, 1, 4, 0, 3, 4, 3, 2, 4, 0, 2, 2, 2, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 3, 3, 4, 0, 4, 2, 2, 0, 0, 0, 3, 1, 4, 3, 1, 4, 4, 2, 4, 2, 4, 1, 3, 4, 3, 4, 3, 3, 3, 2, 1, 4, 3, 3, 4, 0, 2, 0, 4, 0, 1, 4, 2, 3, 0, 3, 1, 3, 1, 2, 0, 3, 4, 1, 1, 3, 2, 2, 2, 3, 1, 4, 3, 4, 3, 3, 3, 1, 1, 1, 3, 3, 3, 2, 2, 2, 3, 1, 0, 4, 0, 1, 1, 0, 1, 1, 2, 3, 4, 4, 4, 4, 0, 0, 3, 3, 1, 1, 2, 1, 4, 0, 0, 2, 3, 4, 4, 1, 4, 3, 0, 4, 0, 0, 0, 2, 3, 4, 2, 4, 3, 2, 0, 1, 2, 3, 1, 1, 2, 3, 1, 3, 4, 2, 2, 0, 1, 1, 3, 0, 3, 4, 0, 2, 4, 3, 4, 1, 3, 3, 4, 0, 0, 0, 2, 2, 2, 3, 3, 3, 0, 3, 1, 1, 2, 0, 2, 2, 1, 0, 4, 2, 1, 3, 4, 4, 0, 2, 2, 3, 4, 1, 1, 4, 4, 4, 4, 0, 1, 3, 0, 4, 3, 2, 0, 2]
pubkeycol1031 = [1, 3, 1, 3, 3, 2, 3, 2, 4, 3, 2, 1, 0, 3, 4, 0, 3, 2, 2, 3, 4, 4, 2, 2, 4, 2, 4, 2, 3, 2, 1, 3, 0, 2, 2, 2, 3, 1, 3, 4, 3, 2, 1, 3, 4, 1, 2, 3, 2, 3, 2, 4, 1, 4, 4, 0, 3, 1, 0, 3, 3, 3, 4, 3, 3, 4, 2, 2, 4, 4, 4, 1, 2, 1, 4, 0, 3, 2, 3, 0, 0, 1, 0, 3, 3, 4, 3, 1, 0, 1, 3, 2, 1, 1, 0, 0, 4, 1, 2, 3, 3, 1, 2, 2, 1, 1, 2, 3, 0, 0, 4, 4, 2, 1, 2, 4, 4, 4, 2, 3, 2, 1, 1, 1, 4, 3, 4, 4, 2, 4, 2, 3, 2, 3, 1, 1, 3, 0, 1, 0, 2, 3, 1, 0, 2, 4, 4, 1, 2, 4, 0, 0, 0, 4, 0, 0, 3, 0, 1, 1, 1, 4, 4, 0, 1, 0, 0, 1, 0, 4, 3, 0, 1, 0, 0, 2, 0, 3, 3, 2, 1, 1, 4, 4, 4, 4, 1, 3, 1, 4, 2, 0, 1, 4, 0, 1, 2, 4, 2, 1, 3, 4, 3, 1, 1, 3, 2, 1, 3, 4, 0, 4, 0, 2, 3, 1, 1, 2, 3, 0, 4, 3, 1, 3, 2, 2, 4, 3, 2, 3, 4, 3, 2, 1, 4, 3, 4, 0, 0, 4, 2, 4, 0, 4, 2, 2, 4, 0, 2, 0, 4, 2, 3, 1, 2, 0, 0, 1, 3, 2, 0, 0, 3, 3, 4, 3, 1, 1, 0, 0, 0, 0, 3, 3, 0, 4, 3, 1, 4, 4, 1, 4, 3, 3, 4, 3, 4, 1, 2, 4, 2, 3, 2, 3, 3, 1, 3, 3, 2, 1, 0, 3, 0, 4, 2, 4, 3, 4, 1, 0, 1, 4, 3, 1, 2, 2, 1, 0, 3, 1, 2, 1, 0, 4, 0, 1, 4, 0, 1, 3, 4, 0, 4, 4, 0, 2, 2, 1, 3, 3, 1, 3, 1, 0, 4, 1, 3, 1, 0, 0, 4, 4, 4, 3, 2, 2, 4, 3, 1, 2, 4, 0, 3, 3, 0, 1, 2, 4, 3, 0, 1, 3, 3, 0, 2, 0, 1, 0, 3, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 3, 3, 4, 4, 0, 2, 0, 3, 4, 2, 3]
pubkeycol1032 = [1, 3, 0, 4, 3, 0, 2, 1, 0, 3, 2, 0, 2, 3, 1, 3, 3, 0, 4, 1, 2, 4, 1, 4, 2, 4, 4, 2, 2, 4, 4, 4, 0, 0, 4, 4, 1, 4, 1, 1, 4, 1, 4, 0, 1, 1, 0, 3, 2, 2, 0, 0, 4, 2, 4, 1, 3, 4, 0, 1, 4, 0, 1, 4, 0, 0, 3, 3, 2, 0, 1, 1, 3, 0, 3, 2, 1, 2, 2, 4, 3, 0, 3, 2, 1, 3, 2, 0, 4, 3, 3, 0, 3, 0, 1, 2, 2, 2, 3, 4, 4, 1, 2, 2, 4, 4, 1, 0, 0, 2, 3, 4, 2, 2, 4, 2, 2, 3, 1, 2, 1, 3, 2, 0, 0, 2, 0, 1, 1, 3, 2, 1, 3, 4, 4, 1, 2, 4, 0, 3, 4, 0, 0, 4, 3, 1, 3, 2, 2, 1, 2, 1, 0, 3, 3, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 3, 3, 2, 0, 2, 3, 2, 0, 3, 4, 2, 4, 1, 3, 0, 4, 1, 4, 1, 4, 1, 3, 1, 1, 4, 4, 2, 1, 2, 0, 4, 4, 4, 2, 1, 4, 2, 1, 2, 0, 1, 4, 4, 4, 4, 1, 0, 3, 3, 4, 3, 4, 0, 3, 0, 3, 1, 3, 3, 0, 2, 0, 3, 1, 4, 1, 4, 4, 2, 3, 0, 0, 2, 2, 0, 2, 0, 0, 3, 3, 2, 3, 0, 1, 1, 0, 4, 1, 2, 0, 0, 0, 3, 3, 1, 1, 3, 0, 4, 1, 2, 1, 0, 3, 4, 3, 2, 3, 3, 0, 3, 3, 0, 4, 0, 2, 3, 4, 0, 3, 0, 2, 2, 1, 2, 2, 4, 1, 2, 1, 3, 1, 4, 0, 4, 0, 4, 1, 3, 0, 3, 3, 0, 4, 1, 0, 2, 4, 3, 4, 4, 0, 1, 4, 3, 2, 2, 2, 4, 2, 4, 3, 2, 3, 3, 3, 4, 2, 1, 1, 2, 3, 4, 2, 2, 2, 0, 3, 2, 3, 2, 3, 2, 1, 4, 0, 4, 0, 2, 0, 2, 1, 2, 3, 3, 3, 0, 3, 4, 2, 3, 1, 1, 4, 2, 0, 1, 1, 3, 0, 2, 3, 2, 0, 3, 2, 2, 2, 4, 0, 2, 2, 2, 3, 1, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4]
pubkeycol1033 = [4, 2, 4, 1, 3, 1, 2, 4, 3, 3, 3, 2, 0, 4, 3, 1, 1, 0, 0, 4, 1, 0, 4, 2, 3, 0, 2, 3, 2, 3, 4, 4, 2, 2, 1, 1, 3, 4, 2, 1, 2, 3, 0, 0, 2, 1, 4, 3, 1, 2, 4, 1, 4, 3, 3, 3, 4, 2, 3, 4, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 4, 1, 3, 0, 2, 2, 4, 1, 2, 3, 0, 0, 3, 3, 3, 4, 0, 2, 4, 3, 2, 1, 3, 4, 3, 3, 4, 3, 0, 3, 0, 1, 2, 0, 2, 0, 2, 4, 1, 3, 0, 1, 4, 0, 3, 2, 2, 3, 1, 3, 1, 2, 1, 3, 3, 1, 1, 3, 4, 2, 4, 4, 4, 3, 1, 0, 2, 4, 1, 1, 0, 2, 2, 0, 1, 2, 4, 2, 0, 3, 2, 4, 1, 1, 2, 3, 3, 3, 3, 1, 3, 4, 3, 2, 4, 2, 3, 2, 2, 4, 4, 1, 0, 4, 3, 4, 3, 3, 2, 2, 2, 1, 3, 2, 0, 1, 4, 2, 3, 0, 3, 1, 1, 4, 2, 3, 4, 0, 0, 3, 1, 2, 1, 1, 1, 2, 3, 2, 1, 2, 2, 0, 2, 3, 2, 0, 0, 4, 2, 4, 2, 3, 0, 0, 4, 1, 0, 3, 2, 1, 3, 3, 4, 1, 0, 0, 4, 0, 1, 3, 2, 1, 3, 1, 3, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 3, 3, 4, 4, 4, 1, 3, 4, 3, 1, 1, 0, 4, 1, 0, 1, 4, 4, 0, 3, 1, 1, 3, 3, 0, 3, 4, 3, 2, 1, 1, 3, 3, 4, 0, 2, 1, 0, 4, 2, 3, 3, 4, 3, 0, 0, 3, 0, 4, 3, 0, 0, 3, 2, 0, 1, 2, 3, 1, 2, 3, 4, 4, 2, 2, 4, 3, 2, 4, 0, 4, 0, 4, 2, 4, 1, 3, 3, 2, 1, 0, 0, 3, 2, 3, 0, 2, 4, 1, 4, 0, 0, 1, 0, 0, 2, 3, 0, 1, 3, 1, 2, 0, 4, 1, 0, 3, 3, 2, 3, 3, 4, 0, 2, 4, 2, 1, 0, 3, 1, 2, 1, 0, 3, 1, 4, 1, 4, 2, 0, 2, 2, 3, 3, 1, 3, 1, 3, 3, 4, 0]
pubkeycol1034 = [3, 0, 1, 4, 4, 2, 4, 2, 1, 4, 3, 3, 3, 4, 1, 0, 4, 1, 1, 4, 2, 2, 1, 4, 4, 1, 0, 4, 0, 1, 3, 0, 4, 0, 2, 4, 0, 2, 0, 4, 1, 4, 1, 0, 4, 0, 3, 0, 2, 1, 3, 0, 4, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 3, 1, 1, 2, 4, 0, 2, 1, 3, 4, 2, 1, 3, 2, 4, 4, 0, 2, 4, 4, 3, 3, 0, 3, 4, 1, 0, 4, 0, 4, 4, 3, 0, 3, 1, 2, 2, 4, 4, 0, 2, 0, 1, 0, 3, 3, 2, 0, 0, 0, 3, 4, 3, 4, 2, 3, 0, 3, 3, 2, 0, 4, 1, 0, 2, 2, 4, 2, 3, 4, 4, 4, 4, 2, 4, 4, 0, 3, 2, 2, 2, 1, 4, 3, 2, 2, 3, 2, 0, 3, 1, 2, 0, 1, 2, 4, 4, 4, 2, 3, 4, 3, 3, 4, 1, 1, 3, 2, 3, 0, 4, 4, 4, 2, 3, 4, 3, 2, 2, 3, 3, 1, 1, 1, 0, 4, 0, 2, 0, 0, 4, 3, 4, 1, 0, 0, 3, 3, 4, 4, 0, 1, 1, 0, 4, 1, 3, 4, 1, 0, 3, 2, 3, 0, 0, 0, 4, 4, 0, 3, 3, 1, 1, 3, 1, 2, 2, 4, 3, 1, 3, 1, 3, 4, 0, 2, 0, 0, 3, 3, 4, 4, 2, 0, 4, 2, 0, 4, 1, 3, 0, 0, 2, 2, 0, 3, 1, 4, 1, 1, 4, 0, 1, 4, 1, 2, 4, 1, 0, 0, 2, 0, 3, 3, 4, 3, 2, 0, 1, 1, 3, 0, 0, 1, 2, 1, 3, 0, 2, 2, 1, 3, 0, 4, 1, 1, 1, 2, 1, 3, 1, 3, 4, 1, 4, 2, 2, 3, 0, 1, 2, 4, 3, 1, 2, 1, 1, 1, 1, 0, 4, 2, 0, 0, 4, 0, 3, 4, 0, 2, 3, 1, 4, 1, 4, 3, 2, 2, 4, 0, 0, 4, 2, 0, 3, 1, 0, 4, 2, 3, 0, 3, 1, 0, 0, 4, 0, 3, 2, 2, 3, 0, 3, 3, 2, 1, 4, 2, 1, 1, 0, 1, 4, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 3, 4, 1, 4, 1, 0, 0, 4, 2]
pubkeycol1035 = [4, 4, 4, 3, 3, 4, 3, 3, 4, 4, 0, 2, 4, 3, 4, 4, 2, 1, 1, 1, 3, 0, 3, 2, 2, 0, 2, 2, 0, 0, 3, 0, 2, 0, 4, 4, 1, 1, 0, 4, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 4, 2, 0, 0, 4, 3, 4, 1, 2, 3, 0, 3, 1, 1, 4, 0, 1, 2, 1, 4, 1, 4, 2, 0, 2, 4, 0, 3, 1, 3, 4, 0, 0, 2, 0, 3, 4, 3, 1, 2, 3, 1, 1, 0, 2, 1, 3, 2, 1, 2, 3, 3, 1, 4, 3, 0, 4, 2, 0, 0, 4, 3, 2, 4, 2, 0, 1, 4, 3, 2, 0, 0, 0, 2, 0, 3, 4, 0, 3, 1, 3, 1, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 4, 4, 2, 4, 4, 3, 4, 3, 0, 0, 3, 3, 2, 2, 3, 4, 1, 0, 0, 0, 1, 0, 4, 2, 2, 3, 3, 4, 0, 4, 4, 0, 1, 1, 3, 4, 4, 1, 2, 3, 4, 2, 3, 4, 2, 3, 0, 0, 0, 0, 1, 4, 4, 1, 1, 0, 4, 0, 2, 1, 2, 1, 3, 3, 0, 0, 2, 2, 4, 2, 1, 3, 3, 4, 3, 2, 3, 2, 4, 4, 2, 2, 0, 0, 2, 1, 4, 1, 1, 3, 1, 3, 4, 1, 0, 0, 2, 0, 0, 4, 0, 1, 0, 1, 3, 0, 0, 3, 0, 4, 0, 0, 4, 2, 1, 2, 0, 2, 0, 2, 3, 1, 3, 0, 4, 0, 1, 0, 0, 2, 4, 0, 3, 4, 3, 0, 1, 1, 3, 4, 0, 3, 2, 3, 2, 0, 1, 0, 2, 2, 1, 3, 2, 1, 3, 2, 4, 4, 4, 0, 0, 1, 0, 3, 0, 1, 4, 4, 1, 1, 3, 1, 2, 0, 1, 3, 0, 3, 0, 3, 0, 3, 3, 2, 2, 2, 2, 4, 1, 3, 1, 2, 1, 1, 3, 0, 2, 4, 4, 3, 4, 3, 4, 3, 3, 1, 0, 3, 2, 3, 1, 4, 2, 0, 0, 0, 0, 1, 0, 0, 4, 4, 1, 0, 3, 2, 2, 3, 3, 4, 4, 2, 1, 0, 0, 0, 2, 3, 3, 4, 4, 2, 1, 0, 1, 3, 2, 3, 4, 0, 0, 2, 4, 3, 4, 0, 3]
pubkeycol1036 = [1, 0, 3, 0, 1, 4, 3, 3, 0, 0, 2, 1, 2, 2, 3, 2, 4, 3, 2, 4, 2, 2, 4, 3, 1, 3, 1, 2, 3, 0, 4, 4, 4, 1, 2, 1, 2, 2, 0, 4, 4, 0, 0, 2, 0, 0, 1, 4, 0, 2, 0, 3, 2, 0, 1, 0, 4, 4, 4, 1, 1, 2, 1, 1, 4, 3, 3, 1, 4, 0, 3, 1, 0, 4, 2, 2, 1, 4, 1, 4, 4, 1, 1, 2, 2, 3, 4, 1, 0, 0, 3, 1, 3, 4, 4, 1, 4, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 3, 1, 3, 0, 3, 2, 4, 0, 3, 2, 1, 2, 3, 2, 0, 4, 3, 0, 0, 2, 2, 1, 0, 3, 0, 1, 1, 3, 4, 0, 2, 4, 2, 2, 1, 2, 4, 2, 4, 2, 1, 4, 2, 3, 2, 3, 0, 3, 2, 3, 4, 0, 3, 2, 3, 1, 3, 0, 3, 0, 2, 0, 0, 1, 3, 1, 4, 0, 1, 4, 0, 1, 3, 2, 2, 1, 3, 2, 4, 0, 2, 2, 0, 3, 1, 3, 0, 0, 4, 2, 3, 3, 0, 2, 3, 3, 4, 0, 1, 2, 0, 0, 4, 4, 4, 3, 4, 0, 2, 1, 2, 3, 1, 2, 4, 1, 0, 1, 1, 3, 2, 0, 1, 1, 0, 0, 4, 0, 3, 4, 3, 0, 2, 2, 2, 2, 2, 1, 3, 0, 0, 2, 4, 3, 2, 4, 2, 3, 2, 3, 2, 4, 1, 2, 0, 3, 2, 2, 2, 4, 4, 0, 4, 0, 4, 4, 2, 2, 2, 1, 2, 0, 3, 4, 0, 3, 1, 4, 1, 4, 1, 2, 4, 0, 0, 2, 0, 1, 0, 3, 1, 1, 1, 0, 2, 2, 4, 1, 4, 1, 3, 3, 4, 1, 4, 2, 2, 2, 1, 4, 1, 3, 0, 2, 2, 0, 1, 4, 1, 1, 0, 0, 4, 0, 3, 0, 3, 2, 2, 0, 0, 0, 4, 2, 2, 1, 4, 3, 2, 4, 4, 4, 3, 1, 4, 1, 4, 3, 2, 2, 4, 4, 4, 4, 4, 1, 3, 0, 1, 3, 4, 4, 4, 0, 2, 2, 1, 2, 3, 2, 0, 3, 4, 4, 4, 0, 1, 4, 4, 0, 3, 4, 1, 2, 2, 1, 0, 3, 3, 3, 4, 2, 1]
pubkeycol1037 = [0, 4, 3, 3, 0, 4, 2, 0, 4, 0, 1, 1, 4, 2, 2, 1, 1, 3, 4, 4, 2, 0, 0, 0, 1, 3, 0, 2, 1, 4, 1, 2, 3, 1, 3, 2, 0, 2, 2, 3, 3, 3, 1, 2, 3, 0, 0, 0, 1, 4, 3, 2, 4, 1, 1, 3, 1, 3, 4, 4, 2, 1, 0, 1, 4, 4, 2, 0, 2, 3, 4, 4, 0, 0, 3, 0, 2, 2, 3, 1, 0, 2, 4, 4, 0, 2, 3, 0, 3, 3, 0, 4, 1, 2, 4, 0, 3, 1, 1, 4, 0, 4, 2, 4, 1, 3, 0, 4, 0, 0, 4, 4, 0, 3, 3, 4, 2, 2, 1, 2, 4, 0, 2, 4, 4, 4, 1, 1, 2, 0, 4, 1, 1, 1, 0, 4, 0, 4, 2, 2, 1, 1, 4, 4, 4, 3, 2, 0, 3, 3, 4, 0, 4, 0, 3, 4, 2, 0, 1, 1, 1, 3, 3, 1, 4, 1, 4, 2, 3, 4, 4, 4, 3, 4, 0, 3, 3, 4, 3, 0, 1, 1, 1, 0, 1, 4, 0, 3, 1, 3, 0, 1, 2, 1, 4, 0, 2, 2, 2, 3, 0, 1, 3, 3, 0, 4, 3, 2, 2, 1, 0, 4, 0, 2, 3, 1, 4, 3, 0, 4, 2, 3, 0, 4, 0, 1, 0, 0, 0, 2, 0, 3, 1, 0, 2, 3, 2, 0, 2, 1, 0, 2, 4, 3, 0, 1, 2, 1, 3, 0, 1, 3, 0, 3, 1, 2, 4, 0, 4, 0, 0, 2, 2, 3, 3, 0, 0, 1, 1, 1, 2, 1, 3, 4, 4, 4, 4, 3, 3, 0, 2, 1, 3, 1, 2, 2, 4, 1, 1, 3, 3, 2, 3, 0, 1, 2, 1, 0, 0, 2, 1, 4, 1, 1, 3, 1, 2, 2, 2, 2, 1, 2, 0, 2, 4, 0, 3, 2, 4, 1, 4, 3, 4, 1, 2, 3, 1, 1, 0, 4, 0, 4, 0, 0, 0, 3, 4, 0, 0, 3, 4, 4, 0, 3, 0, 3, 1, 4, 2, 4, 4, 4, 0, 4, 1, 1, 2, 4, 3, 3, 4, 2, 4, 0, 3, 0, 2, 0, 0, 2, 3, 1, 4, 4, 0, 0, 0, 0, 0, 2, 4, 2, 3, 1, 1, 0, 1, 4, 3, 1, 1, 2, 3, 4, 2, 4, 2, 4, 1, 3]
pubkeycol1038 = [0, 2, 0, 4, 3, 0, 4, 0, 2, 1, 4, 3, 3, 0, 1, 2, 3, 3, 2, 4, 1, 3, 2, 2, 3, 2, 3, 4, 4, 1, 3, 1, 2, 3, 4, 4, 2, 4, 1, 2, 0, 4, 3, 4, 2, 3, 4, 4, 0, 4, 2, 2, 0, 0, 3, 1, 1, 4, 0, 4, 2, 4, 0, 4, 4, 0, 2, 2, 1, 2, 3, 1, 0, 0, 3, 1, 3, 2, 0, 2, 4, 2, 0, 4, 1, 4, 4, 0, 3, 4, 3, 3, 2, 4, 0, 3, 1, 0, 4, 1, 0, 4, 0, 4, 0, 3, 0, 0, 4, 3, 2, 3, 0, 4, 1, 4, 3, 1, 0, 0, 3, 2, 1, 0, 2, 1, 2, 3, 2, 3, 1, 0, 0, 3, 2, 0, 2, 3, 1, 0, 3, 4, 2, 3, 1, 2, 2, 1, 4, 2, 1, 4, 2, 2, 3, 1, 0, 3, 3, 4, 2, 2, 3, 4, 3, 3, 2, 4, 4, 4, 4, 3, 1, 3, 3, 2, 1, 1, 0, 3, 1, 0, 4, 3, 0, 1, 2, 3, 3, 2, 2, 0, 2, 2, 3, 0, 3, 4, 4, 4, 2, 1, 1, 1, 2, 4, 3, 0, 0, 4, 2, 3, 0, 4, 1, 4, 3, 3, 2, 4, 2, 3, 2, 3, 2, 0, 0, 1, 1, 4, 2, 1, 3, 2, 4, 2, 2, 1, 1, 4, 4, 0, 3, 2, 4, 1, 0, 2, 1, 2, 1, 4, 4, 0, 2, 3, 0, 2, 0, 2, 3, 0, 3, 4, 4, 0, 2, 2, 4, 0, 2, 4, 4, 4, 0, 2, 4, 2, 2, 0, 3, 1, 3, 4, 3, 2, 3, 4, 3, 3, 2, 2, 0, 0, 2, 4, 2, 3, 2, 3, 4, 1, 1, 1, 4, 0, 1, 3, 3, 0, 4, 1, 2, 1, 3, 2, 1, 0, 4, 1, 0, 2, 3, 1, 2, 4, 2, 1, 1, 4, 0, 2, 3, 0, 0, 1, 4, 0, 2, 4, 0, 1, 2, 3, 0, 0, 2, 1, 0, 3, 1, 2, 4, 1, 3, 1, 2, 3, 0, 0, 2, 2, 2, 2, 2, 4, 3, 0, 4, 2, 3, 3, 0, 0, 0, 2, 4, 0, 2, 0, 1, 3, 3, 0, 3, 0, 3, 1, 0, 3, 2, 0, 1, 2, 3, 2, 4, 1, 3, 3]
pubkeycol1039 = [1, 3, 3, 0, 0, 1, 3, 3, 1, 0, 3, 1, 2, 4, 2, 1, 3, 0, 3, 3, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 3, 1, 2, 3, 1, 4, 2, 0, 4, 4, 0, 0, 4, 4, 0, 3, 0, 3, 2, 1, 3, 4, 2, 4, 0, 3, 1, 1, 0, 3, 2, 3, 3, 4, 3, 0, 4, 2, 1, 4, 1, 1, 0, 3, 2, 3, 3, 0, 4, 0, 4, 1, 0, 2, 3, 2, 2, 4, 3, 4, 0, 3, 2, 4, 2, 1, 0, 3, 2, 0, 3, 3, 0, 2, 2, 3, 2, 3, 4, 0, 1, 4, 4, 3, 2, 3, 0, 3, 2, 4, 0, 0, 3, 2, 3, 0, 1, 4, 3, 1, 0, 4, 3, 2, 4, 0, 3, 4, 0, 3, 1, 3, 1, 2, 2, 3, 3, 2, 4, 1, 2, 1, 4, 2, 1, 4, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 4, 1, 0, 0, 0, 4, 4, 4, 4, 3, 0, 1, 3, 2, 0, 1, 0, 1, 2, 0, 0, 4, 1, 0, 2, 1, 2, 2, 1, 1, 4, 4, 0, 1, 1, 4, 3, 1, 0, 2, 0, 1, 0, 3, 3, 1, 1, 2, 4, 0, 4, 0, 1, 2, 3, 1, 0, 4, 3, 2, 2, 0, 3, 2, 0, 3, 2, 1, 2, 0, 0, 2, 0, 1, 4, 0, 3, 2, 1, 1, 2, 0, 4, 0, 4, 2, 3, 1, 3, 3, 1, 3, 3, 3, 0, 1, 2, 2, 0, 1, 2, 1, 2, 3, 3, 1, 2, 3, 2, 4, 3, 4, 4, 4, 1, 2, 0, 1, 0, 1, 2, 3, 3, 1, 3, 4, 3, 2, 3, 0, 4, 1, 1, 2, 2, 1, 4, 2, 2, 3, 3, 2, 3, 3, 1, 4, 4, 2, 1, 4, 1, 2, 3, 1, 4, 3, 3, 1, 3, 3, 1, 0, 2, 4, 0, 4, 0, 3, 1, 4, 2, 4, 3, 3, 3, 4, 3, 4, 2, 1, 0, 4, 1, 2, 2, 0, 2, 4, 0, 3, 4, 4, 3, 1, 1, 0, 2, 3, 4, 1, 3, 0, 0, 4, 1, 3, 1, 3, 4, 1, 0, 4, 1, 2, 2, 3, 1, 1, 4, 0, 4, 3, 1, 4, 3, 3, 4, 1, 4, 0]
pubkeycol1040 = [0, 0, 3, 2, 1, 4, 3, 2, 2, 3, 2, 3, 4, 2, 0, 4, 3, 0, 3, 0, 2, 2, 3, 2, 3, 3, 4, 3, 1, 1, 1, 1, 0, 0, 1, 2, 1, 3, 3, 0, 3, 1, 1, 0, 3, 4, 4, 2, 0, 1, 4, 4, 2, 1, 3, 1, 0, 0, 1, 3, 0, 3, 2, 0, 1, 3, 4, 1, 1, 2, 0, 3, 2, 4, 4, 4, 0, 1, 2, 2, 2, 1, 2, 1, 3, 2, 2, 4, 0, 3, 3, 3, 4, 4, 1, 0, 1, 4, 2, 1, 4, 4, 4, 0, 1, 4, 4, 3, 3, 2, 1, 3, 4, 3, 1, 0, 2, 1, 0, 4, 2, 2, 2, 0, 4, 0, 1, 4, 3, 1, 1, 3, 1, 3, 0, 3, 3, 2, 3, 3, 3, 2, 1, 4, 0, 0, 2, 1, 2, 1, 1, 4, 2, 4, 0, 0, 0, 4, 3, 2, 0, 3, 3, 0, 2, 3, 0, 3, 4, 1, 0, 2, 1, 1, 2, 1, 4, 2, 1, 4, 2, 4, 0, 1, 2, 3, 1, 4, 2, 0, 2, 4, 0, 1, 1, 1, 4, 1, 4, 1, 0, 0, 4, 0, 3, 4, 0, 0, 3, 0, 1, 2, 1, 0, 1, 3, 3, 3, 1, 1, 0, 1, 2, 0, 3, 0, 3, 3, 3, 3, 4, 2, 1, 2, 1, 0, 2, 4, 0, 4, 3, 4, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 4, 1, 0, 1, 4, 2, 1, 1, 4, 3, 4, 2, 0, 2, 2, 2, 3, 2, 0, 2, 1, 2, 1, 1, 1, 4, 3, 2, 1, 4, 2, 2, 4, 4, 4, 2, 3, 4, 3, 1, 0, 2, 4, 0, 0, 4, 0, 0, 4, 0, 0, 3, 4, 4, 2, 1, 0, 2, 1, 0, 3, 1, 4, 0, 1, 2, 3, 2, 3, 2, 0, 3, 4, 4, 3, 4, 3, 0, 2, 1, 2, 3, 1, 0, 2, 1, 1, 3, 3, 2, 0, 3, 4, 4, 2, 4, 2, 4, 1, 3, 2, 4, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 3, 2, 0, 4, 4, 3, 3, 4, 4, 0, 2, 3, 0, 2, 3, 4, 3, 4, 4, 3, 4, 2, 0, 0, 2, 3, 1, 1, 2, 4, 3, 4, 3, 3, 2, 0]
pubkeycol1041 = [1, 0, 4, 1, 0, 3, 0, 0, 3, 2, 1, 1, 1, 4, 0, 2, 4, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 3, 1, 1, 0, 4, 2, 2, 0, 3, 2, 0, 0, 2, 4, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 3, 2, 2, 1, 4, 1, 4, 0, 4, 4, 3, 2, 1, 1, 3, 3, 1, 0, 1, 0, 3, 1, 0, 2, 0, 0, 1, 3, 0, 0, 4, 3, 4, 4, 0, 0, 2, 4, 4, 0, 0, 1, 0, 4, 0, 1, 3, 3, 1, 2, 0, 3, 1, 3, 0, 3, 1, 0, 2, 4, 2, 4, 2, 4, 3, 2, 1, 0, 3, 2, 2, 1, 0, 2, 4, 2, 2, 3, 2, 4, 3, 0, 3, 0, 4, 2, 2, 4, 2, 3, 0, 1, 3, 2, 1, 2, 0, 0, 4, 1, 1, 0, 4, 1, 4, 3, 4, 2, 4, 2, 3, 4, 3, 4, 2, 0, 4, 3, 3, 0, 3, 3, 2, 1, 1, 2, 4, 1, 4, 3, 0, 1, 4, 3, 3, 2, 2, 3, 2, 2, 4, 3, 3, 2, 1, 4, 4, 1, 2, 2, 4, 4, 0, 2, 2, 1, 3, 0, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 1, 4, 3, 1, 1, 4, 2, 3, 2, 3, 1, 3, 3, 1, 2, 4, 1, 4, 3, 1, 0, 4, 0, 0, 2, 1, 1, 3, 3, 3, 0, 2, 3, 3, 0, 1, 2, 2, 2, 0, 2, 2, 1, 3, 1, 3, 1, 0, 3, 2, 0, 3, 3, 2, 2, 3, 4, 0, 4, 0, 1, 4, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0, 2, 4, 3, 1, 0, 1, 4, 3, 0, 4, 0, 1, 2, 0, 2, 1, 0, 3, 2, 3, 0, 2, 4, 4, 2, 3, 3, 2, 1, 2, 3, 3, 1, 4, 3, 4, 0, 1, 2, 2, 1, 0, 4, 1, 3, 2, 0, 3, 1, 3, 0, 2, 4, 2, 4, 3, 0, 1, 2, 0, 4, 0, 1, 1, 2, 1, 0, 0, 3, 3, 0, 1, 2, 4, 0, 3, 4, 4, 4, 2, 0, 1, 1, 2, 4, 1, 4, 0, 3, 3, 2, 2, 3]
pubkeycol1042 = [4, 1, 0, 0, 1, 4, 1, 0, 2, 1, 0, 0, 1, 3, 0, 0, 4, 3, 2, 4, 3, 0, 1, 1, 2, 4, 1, 3, 1, 0, 3, 0, 1, 1, 0, 3, 1, 1, 1, 1, 3, 0, 3, 1, 0, 0, 3, 1, 3, 3, 4, 0, 4, 3, 1, 4, 1, 3, 3, 3, 3, 3, 4, 0, 2, 4, 3, 3, 0, 0, 3, 1, 2, 4, 4, 3, 4, 4, 0, 3, 0, 2, 3, 2, 3, 4, 4, 1, 4, 0, 1, 2, 2, 3, 4, 3, 0, 1, 2, 1, 3, 1, 0, 0, 3, 1, 4, 1, 4, 3, 1, 1, 2, 1, 2, 0, 0, 3, 0, 2, 2, 1, 2, 0, 3, 4, 3, 2, 2, 0, 0, 4, 1, 4, 1, 1, 1, 2, 3, 2, 3, 3, 3, 2, 0, 1, 1, 1, 0, 4, 1, 1, 2, 0, 0, 4, 4, 4, 2, 1, 1, 2, 2, 0, 1, 0, 4, 3, 4, 3, 4, 1, 0, 0, 3, 1, 1, 4, 4, 0, 2, 2, 1, 2, 4, 2, 2, 3, 3, 3, 2, 3, 2, 0, 3, 0, 3, 1, 0, 4, 2, 1, 4, 2, 3, 2, 0, 3, 1, 4, 0, 2, 2, 3, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 3, 4, 0, 2, 0, 4, 0, 3, 3, 1, 3, 1, 2, 1, 4, 2, 4, 3, 1, 3, 4, 0, 4, 1, 0, 4, 3, 0, 4, 4, 1, 0, 0, 4, 2, 2, 3, 1, 0, 0, 1, 4, 0, 2, 4, 0, 3, 3, 0, 2, 0, 3, 0, 0, 2, 0, 1, 2, 3, 1, 0, 1, 0, 4, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 4, 4, 2, 3, 1, 2, 4, 3, 1, 0, 2, 2, 4, 4, 4, 3, 4, 2, 0, 2, 0, 2, 0, 3, 3, 0, 4, 4, 2, 3, 4, 2, 2, 4, 0, 1, 0, 0, 1, 1, 3, 3, 2, 4, 1, 0, 1, 2, 1, 4, 0, 3, 4, 1, 2, 0, 2, 2, 1, 2, 1, 3, 1, 2, 1, 2, 0, 3, 4, 2, 4, 1, 4, 2, 0, 0, 3, 0, 4, 0, 3, 2, 3, 1, 1, 4, 0, 4, 2, 1, 1, 1, 4, 0, 1, 3, 3, 1, 0, 3, 1]
pubkeycol1043 = [1, 3, 1, 3, 0, 2, 1, 1, 3, 2, 1, 0, 2, 2, 4, 2, 2, 0, 0, 1, 0, 4, 4, 3, 3, 4, 0, 1, 1, 3, 4, 2, 0, 3, 4, 3, 4, 2, 1, 2, 0, 1, 0, 4, 2, 3, 2, 3, 3, 3, 0, 2, 0, 0, 2, 4, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 4, 2, 0, 3, 1, 2, 0, 0, 1, 1, 0, 1, 1, 4, 1, 2, 4, 1, 0, 1, 4, 1, 4, 1, 3, 4, 4, 4, 2, 2, 0, 4, 2, 3, 2, 4, 2, 4, 4, 4, 3, 4, 0, 3, 3, 1, 1, 0, 1, 1, 0, 2, 2, 3, 4, 2, 0, 2, 4, 2, 4, 0, 3, 2, 2, 0, 2, 3, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 3, 2, 4, 4, 1, 1, 2, 0, 1, 4, 4, 0, 1, 2, 2, 1, 0, 0, 0, 1, 4, 4, 4, 4, 1, 4, 3, 0, 2, 3, 1, 4, 4, 4, 3, 2, 1, 3, 2, 3, 1, 2, 0, 0, 4, 0, 1, 4, 0, 2, 4, 2, 4, 3, 1, 2, 0, 3, 4, 0, 3, 1, 1, 0, 4, 0, 2, 0, 3, 3, 4, 1, 2, 3, 3, 3, 4, 3, 0, 2, 2, 3, 1, 4, 1, 1, 0, 3, 1, 1, 3, 0, 1, 0, 0, 3, 4, 2, 3, 4, 4, 3, 3, 0, 4, 1, 3, 2, 0, 1, 3, 0, 0, 0, 2, 2, 0, 0, 4, 3, 1, 4, 3, 1, 2, 2, 3, 3, 3, 0, 1, 1, 0, 1, 0, 3, 0, 0, 3, 1, 4, 2, 3, 3, 4, 2, 4, 1, 2, 0, 4, 4, 4, 1, 4, 1, 2, 4, 3, 3, 2, 0, 0, 2, 2, 0, 0, 0, 3, 2, 3, 0, 3, 3, 3, 3, 2, 2, 3, 2, 4, 0, 2, 4, 3, 2, 4, 1, 4, 2, 0, 3, 4, 2, 0, 4, 0, 4, 2, 0, 4, 0, 4, 1, 0, 4, 1, 1, 3, 4, 1, 4, 1, 2, 3, 0, 3, 4, 1, 0, 1, 4, 2, 4, 1, 4, 4, 4, 4, 3, 4, 1, 0, 3, 4, 0, 2, 4, 3, 4, 0, 1, 1, 0, 4, 3, 0, 0, 0, 1, 3, 3]
pubkeycol1044 = [3, 2, 4, 4, 2, 1, 0, 1, 0, 2, 1, 1, 2, 4, 2, 2, 2, 4, 4, 4, 2, 2, 3, 4, 3, 4, 0, 4, 0, 4, 0, 2, 3, 1, 1, 4, 1, 4, 1, 0, 3, 3, 3, 0, 1, 1, 2, 1, 0, 1, 4, 0, 1, 2, 4, 1, 2, 0, 1, 3, 3, 1, 1, 3, 3, 0, 4, 3, 0, 4, 4, 3, 3, 0, 3, 3, 2, 1, 4, 0, 0, 4, 2, 0, 4, 3, 3, 1, 2, 0, 1, 1, 2, 4, 0, 0, 4, 0, 2, 0, 1, 1, 2, 4, 4, 1, 3, 0, 3, 1, 3, 4, 0, 2, 1, 3, 4, 1, 1, 0, 2, 2, 1, 4, 2, 1, 1, 3, 2, 4, 3, 0, 2, 1, 1, 3, 2, 1, 4, 0, 4, 2, 4, 1, 2, 3, 1, 2, 3, 4, 3, 2, 4, 4, 1, 0, 4, 4, 4, 3, 3, 1, 0, 4, 0, 0, 3, 4, 2, 4, 0, 3, 4, 3, 4, 1, 2, 1, 3, 1, 3, 1, 2, 2, 1, 0, 2, 4, 1, 1, 2, 3, 0, 4, 2, 3, 4, 0, 1, 3, 1, 1, 0, 0, 4, 0, 4, 3, 2, 0, 1, 3, 1, 0, 3, 0, 3, 1, 1, 4, 2, 0, 1, 1, 4, 2, 4, 1, 3, 3, 4, 3, 3, 2, 3, 4, 1, 4, 1, 3, 1, 3, 4, 0, 2, 2, 2, 0, 1, 4, 1, 1, 4, 1, 1, 2, 4, 2, 3, 3, 4, 0, 1, 2, 4, 4, 0, 4, 3, 3, 2, 2, 1, 2, 3, 3, 0, 1, 3, 3, 1, 4, 2, 0, 2, 0, 2, 3, 4, 1, 1, 1, 4, 3, 4, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 3, 2, 1, 1, 4, 0, 3, 2, 1, 1, 0, 2, 3, 4, 0, 3, 3, 4, 2, 1, 0, 2, 0, 0, 4, 4, 1, 1, 2, 2, 2, 0, 3, 2, 3, 3, 1, 1, 1, 0, 2, 4, 2, 0, 4, 0, 3, 1, 4, 2, 0, 1, 3, 1, 4, 3, 2, 0, 2, 3, 1, 2, 2, 0, 2, 1, 1, 4, 4, 4, 3, 1, 3, 1, 0, 2, 4, 1, 3, 4, 2, 1, 3, 0, 1, 1, 4, 4, 3, 2, 0, 4, 3, 4]
pubkeycol1045 = [0, 2, 0, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 3, 0, 4, 1, 1, 3, 3, 1, 3, 4, 4, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 3, 3, 2, 0, 3, 2, 1, 0, 0, 3, 3, 4, 0, 4, 0, 2, 0, 3, 2, 1, 2, 0, 4, 3, 0, 2, 3, 4, 3, 0, 1, 0, 3, 2, 0, 2, 1, 3, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 4, 3, 3, 3, 2, 4, 4, 2, 2, 2, 1, 1, 4, 1, 1, 0, 2, 2, 0, 4, 4, 4, 0, 1, 4, 1, 4, 3, 0, 4, 3, 0, 3, 0, 1, 3, 1, 4, 2, 1, 3, 2, 0, 4, 4, 2, 2, 1, 2, 0, 1, 0, 3, 3, 4, 2, 2, 0, 4, 2, 4, 0, 0, 3, 3, 2, 3, 4, 4, 4, 2, 0, 2, 4, 3, 3, 4, 1, 0, 3, 2, 3, 3, 4, 3, 1, 0, 4, 1, 0, 2, 4, 4, 2, 0, 3, 0, 4, 3, 3, 4, 1, 0, 2, 4, 1, 0, 0, 2, 3, 2, 1, 2, 2, 3, 0, 1, 2, 1, 3, 4, 3, 4, 3, 1, 3, 0, 4, 0, 2, 3, 2, 1, 1, 2, 3, 4, 0, 4, 1, 1, 2, 3, 0, 3, 2, 2, 2, 3, 0, 2, 2, 0, 0, 0, 4, 2, 0, 1, 0, 3, 0, 0, 1, 1, 0, 3, 1, 3, 1, 2, 4, 1, 1, 1, 0, 2, 4, 0, 1, 4, 1, 4, 3, 1, 1, 2, 4, 0, 2, 4, 1, 0, 3, 0, 3, 2, 4, 0, 4, 3, 2, 1, 3, 3, 0, 0, 3, 2, 0, 0, 2, 2, 4, 1, 0, 1, 0, 2, 0, 4, 2, 3, 3, 4, 0, 1, 0, 2, 0, 3, 2, 0, 1, 4, 3, 0, 1, 3, 2, 0, 3, 0, 0, 2, 3, 1, 4, 2, 2, 2, 2, 4, 1, 3, 2, 1, 2, 0, 3, 3, 4, 0, 1, 0, 4, 4, 2, 2, 4, 1, 3, 2, 1, 0, 4, 2, 0, 2, 3, 3, 3, 3, 3, 0, 0, 4, 3, 3, 0, 2, 2, 4, 2, 4, 2, 0, 4, 1, 4, 1, 3, 3, 3, 2, 0, 4, 1, 4, 2, 4, 1, 0, 3, 3, 4, 2, 0]
pubkeycol1046 = [0, 3, 4, 1, 4, 4, 4, 2, 3, 3, 3, 4, 4, 3, 1, 0, 0, 1, 3, 2, 1, 0, 0, 2, 0, 3, 4, 3, 0, 2, 2, 1, 4, 2, 2, 2, 0, 0, 3, 1, 1, 4, 1, 2, 4, 1, 2, 1, 3, 1, 4, 2, 3, 2, 0, 3, 1, 4, 2, 0, 2, 3, 0, 2, 3, 1, 2, 1, 0, 1, 1, 3, 3, 0, 0, 2, 2, 1, 4, 4, 0, 1, 2, 2, 0, 1, 2, 4, 3, 3, 1, 1, 3, 3, 2, 3, 3, 0, 4, 4, 0, 0, 3, 2, 1, 3, 3, 0, 1, 1, 2, 2, 4, 3, 1, 3, 1, 4, 1, 4, 4, 0, 2, 4, 2, 2, 0, 3, 1, 3, 1, 0, 3, 0, 3, 3, 4, 4, 4, 3, 4, 0, 2, 3, 2, 2, 2, 0, 3, 3, 2, 1, 2, 1, 2, 2, 0, 4, 0, 0, 1, 4, 2, 3, 0, 3, 1, 3, 3, 2, 4, 1, 3, 4, 4, 2, 0, 2, 2, 4, 0, 0, 1, 1, 0, 1, 2, 3, 4, 0, 0, 0, 4, 4, 0, 4, 1, 1, 3, 1, 2, 2, 0, 4, 4, 2, 0, 3, 2, 3, 4, 0, 2, 1, 1, 0, 0, 3, 3, 3, 3, 4, 2, 1, 0, 0, 1, 0, 3, 0, 0, 2, 3, 1, 2, 1, 3, 3, 1, 2, 2, 0, 2, 1, 1, 2, 3, 0, 0, 2, 4, 4, 4, 4, 0, 4, 2, 1, 1, 0, 4, 0, 3, 1, 3, 4, 4, 2, 1, 3, 2, 1, 1, 3, 2, 4, 4, 4, 3, 3, 4, 4, 0, 1, 4, 3, 0, 3, 0, 3, 4, 2, 1, 1, 2, 0, 4, 4, 1, 1, 3, 1, 3, 0, 2, 0, 1, 3, 2, 3, 3, 4, 0, 3, 2, 1, 0, 0, 0, 0, 2, 1, 2, 3, 1, 0, 0, 1, 1, 4, 0, 0, 4, 2, 4, 4, 3, 2, 4, 2, 1, 0, 3, 4, 1, 4, 1, 1, 3, 1, 4, 1, 2, 0, 3, 1, 3, 3, 0, 0, 1, 2, 3, 4, 1, 1, 3, 0, 1, 0, 4, 1, 3, 1, 3, 2, 2, 3, 4, 1, 0, 3, 3, 2, 1, 0, 2, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 1, 3]
pubkeycol1047 = [3, 0, 3, 2, 4, 2, 4, 4, 4, 2, 0, 4, 4, 3, 4, 4, 0, 3, 1, 3, 4, 3, 1, 2, 2, 3, 2, 4, 3, 1, 2, 2, 3, 4, 2, 4, 3, 2, 2, 1, 1, 2, 0, 2, 4, 3, 0, 1, 3, 3, 3, 2, 4, 3, 3, 3, 2, 4, 4, 3, 2, 2, 4, 0, 3, 3, 3, 3, 2, 2, 3, 4, 2, 0, 1, 4, 3, 2, 4, 4, 3, 1, 2, 4, 4, 1, 0, 2, 4, 2, 0, 1, 4, 4, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 4, 2, 0, 4, 3, 3, 2, 3, 0, 4, 2, 1, 1, 4, 4, 0, 3, 1, 0, 0, 2, 2, 1, 4, 3, 4, 0, 4, 3, 4, 3, 3, 1, 1, 4, 2, 1, 3, 4, 0, 2, 4, 1, 0, 4, 3, 4, 4, 4, 4, 3, 4, 1, 4, 2, 2, 2, 3, 2, 2, 1, 1, 1, 4, 2, 4, 4, 1, 4, 2, 1, 0, 1, 1, 4, 4, 0, 1, 2, 3, 4, 2, 3, 1, 3, 0, 1, 2, 1, 3, 4, 4, 0, 0, 3, 4, 4, 2, 2, 0, 0, 0, 3, 3, 4, 3, 0, 1, 4, 3, 2, 2, 2, 3, 4, 4, 0, 4, 1, 1, 0, 1, 0, 3, 0, 0, 2, 2, 3, 1, 2, 4, 3, 2, 4, 2, 3, 2, 4, 2, 1, 4, 3, 1, 2, 1, 0, 2, 4, 0, 0, 0, 1, 3, 0, 3, 1, 1, 2, 4, 0, 3, 1, 1, 4, 4, 3, 2, 0, 2, 4, 0, 4, 4, 1, 3, 1, 1, 4, 0, 3, 1, 0, 3, 2, 2, 4, 2, 1, 4, 3, 1, 1, 1, 3, 0, 2, 3, 1, 2, 4, 3, 0, 4, 3, 0, 2, 4, 3, 2, 1, 0, 3, 2, 0, 4, 1, 3, 1, 1, 4, 0, 2, 3, 0, 4, 2, 2, 2, 3, 2, 3, 0, 2, 4, 0, 4, 4, 0, 4, 4, 1, 1, 1, 0, 2, 2, 4, 3, 2, 1, 4, 3, 4, 4, 3, 3, 1, 0, 1, 2, 4, 1, 1, 4, 3, 3, 2, 4, 0, 2, 1, 1, 4, 1, 1, 4, 1, 4, 2, 2, 2, 2, 2, 0, 4, 3, 3, 1, 0, 4, 2, 1, 1]
pubkeycol1048 = [0, 3, 1, 3, 4, 1, 2, 3, 3, 0, 1, 1, 4, 2, 2, 3, 0, 4, 3, 3, 4, 4, 0, 2, 0, 3, 0, 1, 0, 1, 4, 4, 1, 2, 2, 0, 2, 0, 1, 0, 0, 3, 4, 2, 4, 1, 1, 4, 4, 2, 3, 1, 4, 0, 0, 2, 0, 2, 4, 4, 4, 2, 0, 2, 2, 0, 2, 3, 1, 0, 2, 4, 3, 0, 3, 4, 2, 2, 4, 3, 3, 2, 2, 2, 2, 3, 0, 0, 0, 4, 0, 2, 4, 2, 1, 3, 2, 4, 4, 0, 4, 2, 4, 1, 3, 0, 2, 2, 0, 0, 3, 4, 0, 0, 4, 1, 1, 4, 1, 2, 2, 2, 0, 2, 3, 3, 3, 4, 3, 3, 3, 0, 3, 4, 2, 2, 1, 3, 3, 4, 1, 4, 3, 4, 0, 3, 1, 0, 2, 4, 0, 4, 0, 1, 3, 2, 0, 2, 2, 2, 2, 1, 3, 0, 1, 1, 1, 4, 0, 4, 1, 3, 0, 4, 0, 2, 0, 4, 3, 3, 4, 0, 4, 1, 0, 0, 2, 1, 4, 0, 4, 4, 4, 3, 3, 1, 0, 4, 4, 1, 4, 0, 2, 4, 1, 0, 1, 4, 2, 2, 1, 4, 1, 3, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 4, 1, 0, 0, 3, 4, 2, 1, 2, 2, 3, 2, 1, 1, 1, 2, 4, 1, 4, 4, 1, 4, 1, 4, 1, 1, 4, 4, 0, 1, 1, 0, 3, 2, 3, 0, 3, 1, 1, 3, 0, 2, 1, 4, 2, 1, 3, 0, 2, 3, 0, 1, 1, 1, 1, 1, 2, 4, 0, 1, 2, 1, 3, 3, 0, 4, 3, 1, 2, 3, 4, 2, 4, 2, 3, 1, 2, 3, 4, 0, 0, 0, 4, 3, 4, 1, 4, 3, 4, 4, 2, 0, 3, 1, 4, 3, 1, 1, 3, 4, 1, 1, 2, 1, 1, 0, 2, 2, 0, 3, 3, 4, 3, 2, 4, 4, 3, 3, 1, 1, 3, 1, 2, 2, 3, 2, 0, 3, 1, 4, 4, 3, 1, 1, 3, 0, 0, 4, 4, 3, 1, 0, 4, 2, 4, 3, 4, 1, 0, 3, 1, 3, 1, 4, 3, 2, 3, 1, 1, 2, 2, 1, 4, 2, 0, 1, 2, 1, 3, 1, 0, 4, 4, 4, 3, 1]
pubkeycol1049 = [2, 3, 3, 3, 0, 3, 2, 1, 3, 0, 0, 3, 0, 3, 2, 1, 1, 2, 0, 3, 0, 0, 3, 1, 0, 4, 3, 3, 4, 4, 0, 1, 1, 3, 1, 0, 0, 1, 1, 0, 3, 0, 3, 4, 1, 3, 1, 2, 0, 4, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 4, 0, 1, 3, 1, 3, 1, 4, 0, 0, 0, 2, 3, 1, 3, 4, 2, 3, 1, 3, 3, 2, 2, 3, 2, 2, 4, 1, 4, 0, 0, 0, 2, 0, 3, 1, 1, 4, 3, 3, 1, 2, 1, 4, 4, 1, 3, 1, 4, 0, 1, 4, 0, 2, 4, 0, 4, 2, 4, 4, 2, 3, 0, 4, 1, 2, 0, 1, 2, 3, 3, 0, 1, 2, 3, 1, 0, 4, 4, 0, 1, 3, 3, 2, 4, 1, 2, 1, 1, 1, 4, 3, 4, 2, 1, 1, 0, 3, 3, 4, 0, 4, 2, 3, 2, 2, 1, 4, 3, 2, 3, 1, 0, 4, 3, 4, 2, 4, 2, 2, 4, 4, 1, 3, 2, 4, 3, 0, 0, 2, 2, 1, 3, 4, 2, 1, 0, 4, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 3, 2, 4, 4, 2, 0, 3, 3, 4, 1, 0, 4, 0, 3, 2, 0, 3, 0, 2, 3, 2, 1, 1, 2, 1, 1, 1, 2, 4, 2, 4, 2, 2, 1, 3, 3, 4, 1, 2, 0, 4, 2, 4, 1, 4, 0, 1, 3, 4, 2, 2, 4, 0, 0, 3, 2, 3, 0, 0, 3, 3, 1, 1, 4, 3, 2, 1, 4, 2, 4, 2, 3, 4, 2, 0, 2, 3, 2, 1, 3, 0, 3, 0, 0, 0, 4, 0, 4, 2, 3, 2, 1, 0, 0, 4, 3, 2, 3, 0, 3, 2, 4, 4, 2, 1, 0, 3, 1, 1, 2, 4, 1, 3, 2, 1, 4, 3, 1, 4, 4, 3, 0, 0, 4, 4, 0, 0, 3, 4, 0, 3, 0, 0, 3, 4, 0, 4, 0, 0, 4, 0, 1, 1, 0, 4, 3, 0, 3, 2, 2, 3, 0, 3, 0, 0, 1, 0, 1, 3, 1, 4, 3, 0, 3, 0, 3, 0, 0, 1, 2, 2, 4, 1, 1, 1, 2, 3, 1, 4, 0, 0, 3, 4, 4, 4, 4, 2]
pubkeycol1050 = [0, 2, 1, 4, 1, 3, 0, 4, 1, 0, 2, 2, 2, 0, 2, 3, 2, 3, 1, 0, 2, 4, 0, 4, 4, 3, 0, 0, 4, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 4, 2, 3, 0, 2, 3, 3, 2, 2, 1, 0, 1, 2, 2, 4, 3, 0, 2, 2, 0, 4, 3, 1, 4, 2, 2, 4, 3, 2, 1, 0, 2, 1, 1, 1, 4, 3, 4, 4, 2, 4, 3, 4, 1, 3, 1, 4, 1, 3, 2, 3, 3, 2, 3, 3, 0, 2, 3, 3, 3, 2, 1, 3, 4, 2, 2, 0, 3, 4, 3, 3, 1, 1, 0, 2, 4, 3, 1, 3, 3, 0, 4, 0, 4, 1, 3, 1, 1, 2, 3, 2, 0, 1, 2, 1, 0, 0, 2, 1, 3, 1, 4, 0, 4, 0, 2, 0, 2, 1, 4, 0, 1, 4, 4, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 3, 2, 4, 1, 2, 1, 1, 4, 3, 3, 3, 0, 3, 3, 2, 3, 2, 0, 0, 3, 4, 1, 0, 1, 2, 0, 3, 3, 0, 3, 4, 1, 4, 2, 4, 4, 4, 4, 0, 4, 2, 0, 0, 2, 4, 4, 4, 2, 3, 4, 0, 0, 3, 1, 2, 1, 3, 3, 0, 1, 2, 1, 2, 0, 2, 4, 0, 3, 1, 4, 0, 2, 3, 1, 4, 3, 0, 0, 0, 3, 0, 2, 0, 2, 4, 1, 2, 0, 0, 3, 1, 0, 1, 0, 3, 3, 3, 2, 0, 3, 2, 0, 0, 1, 1, 0, 0, 4, 1, 2, 2, 0, 4, 0, 3, 0, 2, 1, 0, 4, 4, 2, 1, 0, 3, 0, 0, 1, 1, 4, 4, 2, 1, 4, 2, 3, 2, 0, 4, 4, 3, 4, 3, 4, 0, 3, 0, 3, 0, 0, 4, 0, 3, 1, 2, 2, 0, 3, 1, 1, 1, 4, 3, 1, 3, 4, 1, 0, 0, 4, 3, 3, 2, 2, 3, 3, 1, 1, 3, 0, 4, 4, 1, 3, 4, 1, 1, 4, 2, 1, 3, 4, 2, 3, 1, 4, 3, 3, 0, 3, 4, 3, 1, 1, 0, 2, 1, 2, 0, 1, 0, 3, 0, 3, 1, 0, 3, 4, 0, 3, 0, 2, 2, 4, 4, 2, 3, 1, 0]
pubkeycol1051 = [0, 3, 2, 4, 0, 2, 3, 3, 1, 0, 2, 1, 3, 4, 1, 1, 4, 0, 0, 3, 4, 3, 3, 0, 4, 4, 3, 3, 4, 1, 3, 1, 0, 1, 4, 1, 1, 2, 2, 0, 4, 0, 1, 3, 0, 2, 1, 3, 0, 4, 0, 0, 1, 3, 4, 3, 2, 1, 4, 0, 1, 0, 0, 2, 3, 3, 1, 2, 1, 0, 0, 4, 0, 2, 1, 2, 0, 1, 3, 0, 2, 4, 3, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 3, 1, 2, 3, 2, 2, 3, 4, 4, 4, 2, 2, 0, 3, 4, 2, 1, 1, 3, 4, 1, 1, 3, 4, 1, 4, 3, 3, 3, 0, 2, 0, 0, 4, 2, 0, 3, 3, 3, 2, 4, 1, 2, 2, 1, 1, 0, 2, 3, 1, 0, 0, 4, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 4, 3, 1, 4, 2, 1, 3, 1, 3, 2, 0, 0, 2, 3, 3, 4, 3, 0, 0, 3, 4, 2, 0, 0, 0, 0, 2, 4, 0, 3, 2, 1, 3, 2, 2, 0, 0, 2, 3, 1, 0, 2, 4, 0, 3, 3, 1, 3, 1, 2, 2, 4, 1, 3, 3, 0, 1, 4, 0, 4, 2, 2, 1, 0, 3, 4, 4, 0, 4, 3, 1, 3, 0, 0, 3, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 2, 0, 1, 2, 2, 1, 1, 4, 1, 3, 2, 3, 0, 3, 0, 3, 2, 4, 4, 3, 3, 1, 4, 1, 3, 0, 0, 4, 0, 2, 1, 2, 0, 3, 4, 3, 0, 0, 4, 3, 4, 1, 1, 4, 1, 4, 4, 3, 4, 0, 0, 4, 1, 2, 0, 0, 2, 2, 0, 1, 3, 4, 1, 1, 4, 2, 4, 2, 4, 2, 1, 4, 0, 4, 0, 0, 0, 1, 2, 1, 3, 4, 1, 1, 1, 2, 3, 3, 2, 4, 4, 2, 1, 0, 1, 3, 2, 0, 3, 1, 3, 3, 4, 3, 3, 3, 4, 2, 3, 4, 0, 1, 1, 4, 0, 4, 4, 0, 4, 4, 4, 0, 1, 2, 3, 0, 4, 4, 1, 0, 0, 4, 4, 3, 3, 4, 2, 0, 4, 2, 0, 1, 3, 4, 3, 1, 1]
pubkeycol1052 = [1, 2, 3, 2, 0, 4, 1, 4, 3, 4, 3, 1, 4, 0, 2, 0, 0, 1, 4, 2, 3, 4, 1, 2, 1, 1, 0, 2, 0, 2, 3, 4, 3, 1, 4, 0, 3, 1, 4, 0, 3, 4, 1, 1, 4, 3, 0, 3, 4, 0, 3, 3, 2, 2, 0, 0, 2, 1, 2, 2, 4, 0, 2, 1, 4, 3, 1, 2, 2, 2, 4, 4, 2, 3, 2, 4, 0, 1, 4, 4, 2, 0, 2, 3, 0, 0, 1, 2, 3, 2, 3, 0, 4, 1, 0, 1, 3, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 4, 2, 4, 4, 4, 4, 3, 1, 2, 0, 4, 2, 0, 3, 2, 0, 2, 1, 3, 1, 2, 4, 2, 1, 2, 1, 2, 1, 0, 3, 0, 3, 2, 4, 2, 3, 0, 4, 0, 1, 0, 0, 0, 2, 4, 0, 4, 0, 0, 1, 4, 1, 3, 3, 3, 4, 0, 1, 4, 2, 2, 3, 2, 2, 2, 0, 0, 3, 3, 2, 0, 1, 3, 3, 3, 3, 2, 3, 3, 3, 0, 1, 3, 1, 0, 0, 3, 4, 4, 4, 2, 0, 4, 1, 3, 2, 2, 1, 3, 4, 2, 1, 0, 4, 4, 0, 1, 3, 2, 3, 0, 0, 2, 3, 2, 1, 3, 3, 4, 2, 3, 1, 4, 4, 4, 2, 0, 1, 2, 1, 1, 2, 2, 1, 3, 0, 2, 4, 0, 0, 0, 3, 1, 1, 3, 4, 0, 4, 1, 4, 1, 3, 0, 3, 2, 3, 2, 1, 1, 4, 3, 2, 3, 0, 2, 0, 3, 4, 1, 3, 3, 3, 0, 2, 0, 1, 0, 3, 0, 3, 1, 2, 2, 4, 4, 4, 3, 3, 1, 3, 0, 0, 0, 4, 4, 1, 2, 2, 4, 1, 3, 2, 2, 1, 2, 2, 2, 0, 3, 0, 4, 0, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 3, 2, 3, 3, 0, 3, 3, 1, 1, 1, 2, 3, 1, 0, 4, 3, 0, 3, 4, 1, 3, 3, 3, 1, 4, 4, 3, 3, 4, 1, 0, 3, 1, 4, 2, 4, 2, 0, 0, 1, 2, 2, 4, 0, 2, 3, 3, 4, 2, 0, 1, 4, 0, 4, 4, 2, 3, 2, 1, 0, 3, 0, 2, 4, 1, 4, 0, 1, 1, 0]
pubkeycol1053 = [2, 4, 4, 2, 3, 3, 0, 2, 1, 1, 1, 0, 0, 0, 3, 1, 0, 2, 3, 4, 4, 2, 1, 3, 0, 0, 1, 0, 3, 2, 4, 1, 0, 1, 3, 4, 0, 4, 4, 3, 0, 0, 2, 0, 1, 3, 4, 3, 3, 2, 2, 1, 3, 2, 2, 3, 1, 3, 4, 3, 3, 0, 2, 3, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 3, 3, 3, 1, 0, 4, 0, 3, 1, 4, 3, 0, 0, 4, 4, 4, 0, 2, 3, 1, 1, 4, 2, 0, 0, 3, 1, 0, 1, 3, 0, 4, 0, 1, 1, 1, 1, 2, 3, 4, 0, 4, 0, 1, 0, 2, 1, 1, 3, 2, 0, 3, 2, 4, 0, 4, 0, 3, 2, 0, 1, 2, 1, 2, 1, 1, 2, 3, 4, 0, 1, 4, 2, 1, 0, 0, 0, 3, 0, 0, 0, 0, 1, 4, 3, 4, 1, 3, 0, 3, 4, 1, 0, 4, 4, 3, 4, 1, 4, 3, 1, 2, 2, 2, 0, 2, 3, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 3, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 0, 1, 4, 2, 3, 1, 4, 1, 2, 2, 0, 2, 3, 3, 2, 1, 4, 4, 4, 4, 2, 0, 0, 1, 0, 1, 2, 3, 4, 0, 4, 1, 0, 0, 3, 0, 1, 4, 1, 2, 2, 3, 2, 1, 4, 3, 2, 1, 2, 2, 1, 4, 2, 4, 2, 2, 3, 3, 3, 0, 4, 2, 1, 4, 2, 1, 3, 0, 3, 0, 4, 2, 1, 2, 2, 1, 4, 3, 2, 1, 2, 2, 3, 0, 2, 1, 4, 4, 4, 3, 1, 0, 3, 3, 3, 2, 3, 3, 1, 0, 3, 3, 1, 3, 3, 2, 2, 0, 2, 2, 2, 2, 0, 2, 3, 1, 2, 2, 3, 1, 4, 1, 1, 2, 1, 4, 0, 4, 2, 0, 3, 1, 0, 1, 3, 0, 0, 3, 2, 3, 2, 0, 2, 4, 0, 4, 1, 2, 2, 4, 2, 0, 0, 4, 1, 3, 0, 0, 1, 4, 2, 2, 4, 4, 0, 2, 1, 2, 4, 3, 0, 1, 4, 3, 1, 2, 0, 1, 4, 4, 0, 3, 3, 1, 4, 4, 1, 4, 0, 3, 2, 1, 2]
pubkeycol1054 = [1, 3, 2, 0, 4, 2, 1, 3, 3, 1, 0, 3, 4, 1, 3, 3, 3, 0, 4, 3, 0, 0, 4, 0, 2, 0, 0, 0, 4, 2, 4, 2, 4, 2, 0, 4, 4, 3, 2, 1, 1, 1, 0, 2, 0, 4, 0, 4, 1, 2, 3, 0, 3, 3, 1, 4, 0, 1, 1, 3, 4, 2, 0, 4, 3, 3, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 4, 3, 0, 3, 0, 3, 0, 3, 0, 2, 2, 3, 3, 1, 0, 2, 0, 2, 3, 2, 4, 0, 0, 0, 0, 2, 4, 0, 2, 3, 2, 4, 2, 0, 4, 4, 4, 2, 3, 0, 4, 1, 1, 2, 1, 1, 2, 0, 0, 0, 4, 3, 4, 4, 1, 0, 0, 3, 4, 3, 0, 1, 0, 3, 4, 2, 4, 2, 0, 1, 4, 0, 4, 3, 4, 0, 3, 2, 1, 0, 3, 0, 1, 0, 3, 3, 3, 3, 1, 2, 3, 2, 1, 2, 3, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 4, 1, 1, 4, 3, 1, 0, 4, 0, 4, 3, 3, 1, 0, 3, 1, 1, 2, 2, 4, 0, 0, 3, 4, 3, 1, 3, 0, 1, 4, 2, 2, 1, 3, 4, 0, 2, 1, 3, 4, 1, 1, 2, 3, 2, 2, 1, 0, 4, 0, 4, 2, 0, 3, 2, 2, 0, 3, 2, 2, 1, 1, 2, 4, 2, 4, 4, 3, 3, 4, 1, 1, 4, 1, 3, 2, 1, 2, 0, 4, 2, 4, 0, 1, 0, 2, 4, 0, 4, 3, 0, 0, 3, 4, 3, 3, 1, 4, 3, 3, 2, 3, 2, 0, 0, 1, 4, 2, 2, 3, 4, 3, 3, 1, 2, 2, 0, 1, 4, 0, 1, 0, 1, 1, 3, 0, 1, 1, 4, 1, 1, 2, 4, 4, 1, 1, 1, 0, 4, 2, 2, 0, 4, 3, 3, 3, 2, 2, 3, 4, 1, 4, 2, 3, 4, 4, 4, 0, 2, 1, 3, 1, 2, 1, 0, 1, 1, 0, 3, 0, 4, 0, 0, 2, 4, 2, 4, 1, 4, 3, 3, 2, 0, 2, 1, 0, 4, 3, 4, 2, 3, 2, 4, 2, 2, 1, 1, 4, 4, 3, 2, 4, 3, 3, 3, 2, 3, 0, 3, 4, 3, 3, 2, 0, 1]
pubkeycol1055 = [0, 4, 3, 1, 1, 0, 0, 3, 3, 0, 3, 1, 2, 0, 0, 1, 1, 4, 0, 0, 0, 1, 2, 3, 1, 2, 1, 3, 3, 1, 4, 4, 4, 4, 0, 2, 4, 1, 1, 1, 0, 3, 2, 4, 1, 3, 0, 4, 3, 3, 4, 1, 2, 3, 2, 0, 3, 2, 3, 1, 4, 0, 4, 2, 4, 4, 0, 3, 2, 2, 4, 4, 1, 3, 2, 3, 4, 1, 1, 0, 3, 2, 3, 1, 2, 3, 1, 1, 4, 2, 4, 1, 1, 4, 1, 1, 4, 3, 2, 4, 3, 0, 2, 3, 0, 3, 2, 1, 2, 0, 3, 3, 2, 3, 4, 4, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 1, 3, 3, 3, 3, 3, 0, 1, 2, 1, 0, 3, 0, 3, 1, 3, 0, 3, 0, 0, 3, 3, 2, 1, 4, 3, 1, 0, 3, 1, 2, 1, 3, 1, 0, 3, 4, 4, 3, 2, 3, 2, 2, 4, 0, 3, 4, 1, 0, 0, 0, 4, 3, 2, 2, 4, 2, 0, 4, 2, 1, 2, 3, 3, 4, 2, 2, 4, 4, 2, 3, 4, 1, 0, 1, 3, 2, 1, 0, 0, 0, 1, 3, 4, 4, 0, 0, 1, 1, 2, 3, 0, 1, 3, 3, 3, 3, 3, 0, 2, 1, 0, 2, 3, 3, 3, 4, 1, 1, 4, 0, 2, 4, 2, 3, 0, 0, 0, 2, 1, 4, 4, 1, 4, 3, 4, 4, 1, 0, 4, 0, 1, 3, 3, 4, 0, 0, 4, 3, 4, 0, 3, 1, 0, 4, 1, 0, 0, 3, 3, 0, 0, 4, 4, 4, 2, 0, 2, 4, 2, 4, 2, 0, 4, 3, 4, 0, 1, 2, 1, 2, 3, 4, 0, 3, 0, 0, 1, 3, 1, 4, 4, 1, 0, 2, 1, 2, 3, 0, 1, 1, 3, 0, 4, 0, 1, 4, 4, 2, 0, 2, 0, 3, 1, 4, 3, 4, 1, 2, 2, 4, 3, 2, 4, 4, 3, 1, 0, 0, 4, 1, 3, 0, 1, 0, 4, 4, 1, 1, 3, 2, 3, 2, 0, 1, 3, 2, 1, 2, 2, 0, 2, 4, 0, 0, 4, 4, 3, 2, 2, 4, 2, 2, 0, 3, 3, 0, 0, 3, 0, 2, 1, 3, 2, 4, 1, 2, 3, 3, 4, 1, 4, 1]
pubkeycol1056 = [3, 3, 3, 3, 0, 1, 2, 2, 2, 4, 3, 2, 1, 0, 1, 4, 2, 4, 2, 1, 1, 0, 4, 3, 1, 0, 0, 0, 3, 1, 4, 0, 0, 0, 1, 3, 1, 1, 4, 3, 0, 0, 2, 4, 3, 3, 4, 0, 0, 4, 4, 2, 1, 3, 2, 4, 1, 2, 4, 3, 4, 3, 3, 4, 1, 3, 1, 0, 1, 4, 0, 2, 3, 2, 3, 2, 1, 0, 2, 1, 3, 2, 4, 4, 3, 0, 4, 4, 2, 2, 4, 2, 2, 3, 4, 0, 1, 1, 2, 0, 0, 4, 0, 3, 4, 3, 0, 0, 3, 1, 2, 1, 3, 2, 2, 1, 3, 3, 2, 4, 0, 1, 3, 3, 1, 4, 2, 2, 3, 4, 2, 2, 4, 4, 4, 4, 0, 0, 3, 3, 4, 4, 2, 1, 0, 0, 3, 4, 0, 4, 0, 2, 2, 1, 3, 3, 0, 4, 2, 2, 2, 0, 3, 1, 0, 3, 3, 3, 1, 0, 3, 4, 4, 1, 2, 4, 1, 2, 4, 3, 3, 4, 3, 3, 3, 1, 4, 1, 3, 2, 3, 1, 0, 3, 0, 1, 4, 0, 3, 2, 2, 3, 1, 0, 0, 3, 3, 3, 2, 3, 3, 1, 1, 3, 1, 4, 2, 4, 1, 3, 0, 3, 4, 4, 2, 3, 0, 1, 2, 2, 3, 1, 0, 2, 0, 4, 1, 4, 3, 1, 4, 3, 4, 4, 3, 1, 0, 4, 4, 2, 3, 2, 3, 4, 2, 4, 2, 1, 3, 3, 0, 1, 3, 1, 2, 1, 2, 2, 2, 3, 0, 2, 1, 0, 4, 1, 4, 1, 3, 2, 4, 3, 3, 0, 0, 0, 1, 0, 0, 2, 4, 3, 3, 0, 1, 3, 3, 0, 4, 0, 1, 2, 1, 3, 2, 1, 2, 4, 4, 4, 2, 3, 2, 3, 3, 0, 4, 2, 2, 3, 1, 1, 4, 4, 3, 1, 4, 0, 3, 0, 2, 3, 0, 3, 4, 3, 0, 3, 1, 3, 4, 1, 3, 3, 0, 3, 0, 2, 2, 3, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 4, 0, 3, 4, 0, 4, 0, 1, 4, 4, 2, 4, 2, 3, 2, 3, 1, 1, 4, 0, 1, 2, 0, 4, 1, 1, 4, 0, 4, 4, 1, 0, 3, 1, 1, 4, 4, 0, 4, 2]
pubkeycol1057 = [2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 4, 2, 4, 0, 1, 4, 2, 3, 3, 1, 2, 4, 1, 4, 1, 0, 4, 3, 1, 3, 4, 0, 4, 4, 4, 0, 0, 3, 2, 3, 3, 2, 0, 2, 0, 1, 3, 4, 3, 0, 1, 3, 0, 3, 2, 1, 2, 3, 1, 1, 3, 1, 1, 0, 4, 2, 4, 0, 0, 0, 3, 2, 3, 0, 0, 2, 2, 1, 3, 4, 4, 4, 2, 3, 4, 4, 4, 3, 4, 3, 2, 1, 0, 0, 3, 1, 1, 4, 2, 0, 3, 0, 0, 4, 0, 0, 1, 0, 0, 1, 0, 4, 3, 2, 1, 3, 3, 2, 2, 4, 3, 2, 0, 4, 1, 3, 0, 3, 1, 3, 1, 1, 4, 3, 2, 1, 2, 4, 0, 4, 0, 1, 3, 3, 1, 3, 2, 4, 2, 1, 1, 1, 3, 3, 4, 0, 3, 0, 1, 2, 2, 3, 3, 3, 1, 1, 3, 3, 2, 4, 0, 3, 2, 1, 2, 0, 3, 2, 2, 0, 1, 2, 3, 0, 1, 4, 1, 4, 4, 4, 4, 4, 4, 2, 4, 2, 2, 3, 1, 0, 0, 1, 1, 3, 3, 3, 2, 1, 4, 4, 4, 4, 4, 0, 3, 3, 2, 3, 2, 0, 3, 0, 0, 2, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 4, 4, 4, 1, 4, 2, 3, 2, 1, 0, 4, 4, 3, 1, 0, 4, 0, 4, 3, 4, 1, 1, 0, 2, 1, 0, 4, 1, 0, 4, 3, 3, 0, 4, 1, 0, 3, 3, 4, 2, 2, 2, 1, 3, 0, 4, 4, 0, 2, 0, 0, 2, 0, 0, 1, 2, 4, 2, 3, 1, 3, 0, 1, 2, 1, 0, 4, 2, 0, 0, 2, 2, 3, 4, 3, 1, 2, 3, 4, 3, 2, 1, 0, 3, 2, 0, 0, 0, 4, 4, 0, 4, 2, 2, 4, 4, 4, 0, 3, 0, 4, 3, 2, 3, 0, 4, 4, 0, 2, 3, 2, 1, 1, 4, 4, 2, 0, 3, 2, 1, 2, 2, 2, 0, 1, 4, 1, 3, 4, 1, 4, 2, 3, 3, 1, 1, 0, 3, 0, 2, 2, 1, 0, 4, 2, 0, 3, 1, 4, 3, 3, 3, 4, 1, 2, 3, 1, 0, 4, 0, 0, 0, 2]
pubkeycol1058 = [4, 3, 4, 2, 3, 3, 3, 3, 3, 0, 4, 4, 3, 1, 3, 4, 2, 4, 4, 3, 0, 4, 2, 0, 2, 0, 3, 0, 2, 4, 4, 2, 3, 0, 2, 0, 4, 3, 4, 4, 0, 1, 4, 3, 3, 4, 3, 1, 0, 3, 1, 4, 2, 1, 4, 1, 1, 1, 2, 0, 2, 1, 0, 0, 4, 4, 0, 2, 3, 3, 3, 3, 0, 3, 2, 3, 0, 1, 2, 0, 3, 1, 1, 4, 1, 4, 3, 4, 3, 0, 0, 0, 1, 3, 2, 3, 4, 2, 3, 1, 4, 4, 0, 3, 0, 2, 4, 2, 4, 1, 2, 0, 1, 0, 0, 1, 4, 4, 4, 1, 4, 4, 3, 3, 0, 1, 2, 2, 0, 2, 2, 1, 2, 4, 2, 1, 1, 2, 0, 2, 0, 2, 2, 4, 3, 3, 4, 4, 2, 0, 4, 1, 0, 2, 2, 1, 3, 4, 4, 0, 3, 0, 0, 3, 3, 0, 2, 2, 3, 2, 0, 4, 2, 1, 1, 4, 4, 0, 2, 1, 1, 4, 4, 4, 2, 1, 4, 2, 0, 2, 3, 2, 1, 4, 2, 0, 1, 2, 0, 1, 1, 4, 0, 3, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 4, 4, 2, 1, 1, 4, 3, 0, 2, 4, 0, 4, 0, 1, 3, 4, 4, 3, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 4, 2, 4, 4, 1, 0, 4, 0, 3, 3, 4, 1, 4, 0, 4, 1, 2, 2, 3, 0, 4, 4, 3, 3, 3, 0, 4, 4, 3, 1, 2, 4, 0, 4, 4, 2, 2, 0, 3, 4, 1, 3, 3, 0, 1, 0, 0, 1, 0, 2, 1, 4, 1, 0, 0, 0, 1, 3, 0, 2, 2, 1, 0, 0, 1, 1, 4, 3, 1, 3, 0, 2, 3, 0, 1, 0, 0, 3, 4, 4, 3, 2, 1, 1, 4, 0, 1, 0, 4, 3, 1, 4, 0, 0, 4, 4, 2, 1, 2, 4, 4, 1, 3, 1, 1, 4, 0, 2, 3, 0, 4, 2, 0, 3, 2, 0, 0, 2, 0, 3, 3, 4, 2, 4, 3, 1, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 0, 0, 4, 4, 1, 1, 1, 1, 1, 2, 1, 4, 4]
pubkeycol1059 = [4, 2, 1, 4, 3, 0, 1, 4, 1, 0, 3, 2, 3, 0, 4, 3, 2, 1, 4, 2, 2, 2, 1, 3, 3, 4, 2, 1, 2, 2, 3, 1, 4, 4, 1, 3, 1, 0, 2, 3, 3, 0, 1, 2, 0, 3, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 4, 0, 4, 4, 3, 1, 2, 4, 0, 4, 4, 2, 2, 3, 3, 2, 1, 2, 1, 4, 4, 0, 1, 2, 1, 2, 4, 1, 0, 1, 3, 4, 2, 0, 2, 1, 2, 4, 3, 0, 0, 0, 4, 2, 1, 3, 4, 1, 3, 0, 0, 2, 2, 3, 3, 1, 0, 4, 1, 4, 4, 1, 1, 4, 1, 0, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 4, 4, 3, 3, 2, 0, 3, 2, 0, 0, 1, 1, 3, 1, 2, 2, 1, 0, 2, 1, 0, 4, 3, 0, 2, 4, 4, 3, 3, 2, 4, 3, 0, 1, 1, 4, 3, 1, 0, 3, 2, 0, 4, 1, 2, 4, 4, 0, 2, 3, 4, 4, 1, 0, 3, 3, 1, 4, 0, 2, 2, 1, 4, 3, 3, 3, 1, 4, 0, 4, 2, 1, 4, 3, 4, 3, 1, 2, 1, 0, 2, 2, 0, 2, 0, 3, 0, 0, 1, 3, 2, 4, 1, 4, 2, 0, 0, 0, 2, 1, 1, 4, 2, 0, 1, 4, 4, 0, 0, 3, 1, 0, 1, 0, 0, 4, 4, 3, 0, 1, 0, 3, 2, 3, 2, 2, 3, 1, 2, 3, 0, 4, 2, 4, 3, 0, 4, 0, 3, 0, 2, 4, 3, 0, 3, 4, 4, 4, 0, 3, 1, 0, 3, 4, 3, 4, 2, 0, 4, 4, 4, 3, 2, 0, 1, 4, 1, 1, 1, 2, 1, 3, 2, 3, 0, 4, 2, 1, 2, 2, 4, 4, 0, 4, 4, 1, 2, 2, 3, 1, 4, 4, 0, 4, 3, 4, 4, 0, 4, 1, 2, 4, 3, 1, 0, 1, 3, 3, 4, 3, 0, 3, 0, 0, 4, 1, 1, 0, 4, 3, 0, 1, 4, 1, 0, 4, 4, 3, 4, 2, 3, 3, 0, 4, 0, 0, 1, 0, 2, 1, 1, 0, 0, 3, 0, 4, 4, 4, 0, 4, 0, 4, 4, 2, 1, 0, 3, 0, 3, 4, 0, 2, 1, 4, 2, 4, 2, 4]
pubkeycol1060 = [0, 1, 1, 2, 1, 4, 4, 3, 3, 1, 0, 1, 1, 1, 0, 4, 4, 0, 4, 3, 3, 0, 0, 1, 0, 3, 2, 0, 3, 2, 3, 0, 3, 4, 4, 0, 4, 4, 3, 0, 0, 4, 4, 3, 1, 0, 4, 2, 1, 0, 1, 1, 4, 2, 0, 0, 1, 2, 2, 1, 2, 0, 4, 3, 4, 3, 3, 1, 3, 3, 0, 4, 1, 2, 1, 4, 3, 0, 3, 2, 1, 3, 0, 2, 3, 2, 3, 0, 4, 0, 4, 4, 3, 4, 4, 0, 0, 0, 2, 0, 0, 0, 3, 2, 2, 3, 1, 2, 2, 1, 1, 2, 2, 3, 1, 3, 3, 3, 4, 4, 2, 1, 4, 1, 4, 2, 3, 1, 3, 2, 3, 3, 2, 0, 3, 4, 2, 3, 4, 2, 2, 4, 4, 4, 1, 0, 1, 1, 0, 3, 0, 2, 3, 2, 4, 1, 3, 3, 3, 4, 2, 1, 0, 0, 2, 2, 2, 0, 0, 4, 2, 1, 1, 4, 2, 4, 1, 3, 4, 3, 2, 0, 2, 3, 3, 1, 2, 3, 3, 2, 1, 1, 3, 0, 3, 3, 0, 0, 0, 2, 0, 1, 3, 4, 1, 0, 1, 4, 2, 2, 3, 4, 1, 0, 4, 0, 4, 1, 3, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 3, 1, 4, 1, 0, 1, 0, 0, 0, 1, 4, 2, 3, 2, 0, 2, 3, 2, 2, 3, 3, 4, 1, 0, 1, 1, 3, 2, 1, 1, 2, 4, 0, 1, 3, 3, 4, 4, 2, 0, 0, 3, 3, 1, 4, 0, 2, 2, 4, 4, 4, 0, 4, 4, 3, 1, 1, 2, 2, 0, 4, 3, 3, 3, 1, 1, 1, 0, 2, 3, 1, 1, 1, 2, 2, 1, 2, 0, 3, 2, 1, 3, 1, 1, 4, 2, 2, 3, 4, 1, 4, 2, 4, 4, 0, 0, 3, 4, 2, 4, 0, 3, 3, 1, 1, 4, 2, 2, 4, 0, 1, 4, 2, 1, 0, 4, 2, 1, 4, 4, 4, 3, 1, 4, 0, 2, 1, 4, 4, 3, 0, 2, 3, 3, 4, 4, 2, 1, 3, 2, 1, 3, 1, 4, 1, 2, 4, 4, 3, 3, 1, 1, 4, 2, 4, 0, 0, 0, 0, 3, 3, 2, 1, 1, 3, 1, 0, 1, 3, 0, 1]
pubkeycol1061 = [4, 1, 0, 2, 4, 4, 2, 4, 2, 3, 2, 3, 4, 4, 0, 3, 1, 2, 3, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 3, 0, 3, 1, 0, 1, 3, 4, 4, 0, 2, 0, 1, 0, 4, 3, 4, 0, 0, 1, 0, 1, 4, 4, 1, 1, 3, 1, 0, 3, 4, 0, 0, 0, 3, 1, 4, 2, 3, 4, 1, 2, 3, 0, 0, 4, 0, 2, 0, 0, 2, 4, 2, 3, 3, 1, 0, 3, 1, 2, 0, 1, 2, 2, 3, 0, 1, 2, 0, 0, 1, 2, 4, 0, 2, 2, 4, 4, 0, 2, 1, 1, 2, 4, 2, 4, 3, 2, 1, 2, 3, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 3, 4, 0, 3, 1, 1, 0, 1, 0, 2, 2, 3, 4, 2, 4, 0, 4, 4, 0, 0, 1, 3, 0, 0, 2, 2, 0, 4, 3, 2, 3, 1, 1, 3, 0, 1, 2, 3, 2, 1, 2, 0, 4, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 3, 4, 3, 2, 1, 1, 2, 0, 3, 4, 1, 3, 0, 1, 2, 3, 2, 0, 1, 2, 1, 0, 3, 1, 3, 0, 2, 0, 1, 4, 0, 4, 4, 2, 0, 4, 2, 0, 0, 1, 0, 0, 1, 3, 0, 1, 0, 2, 4, 1, 2, 2, 4, 4, 0, 4, 4, 3, 4, 1, 4, 0, 1, 0, 3, 3, 1, 3, 4, 4, 1, 4, 0, 0, 4, 2, 4, 0, 1, 2, 4, 3, 1, 4, 4, 2, 4, 1, 0, 1, 0, 4, 3, 0, 2, 0, 0, 4, 3, 2, 0, 1, 0, 0, 2, 1, 1, 3, 4, 4, 3, 3, 0, 1, 0, 4, 4, 3, 0, 1, 2, 4, 4, 4, 3, 3, 3, 0, 2, 2, 0, 0, 1, 0, 3, 1, 3, 0, 0, 2, 1, 1, 4, 0, 3, 1, 0, 0, 3, 0, 4, 0, 3, 4, 0, 0, 0, 4, 3, 0, 0, 0, 1, 4, 1, 0, 3, 1, 2, 4, 3, 1, 4, 3, 0, 4, 1, 0, 0, 4, 3, 1, 1, 4, 4, 4, 3, 1, 2, 3, 4, 3, 0, 0, 3, 3, 4, 4, 3, 4, 0, 1, 2, 1, 3, 3, 1, 2, 2, 3, 4, 0, 3, 4, 4, 4]
pubkeycol1062 = [4, 2, 0, 3, 2, 1, 1, 3, 3, 2, 2, 2, 3, 3, 2, 0, 1, 1, 3, 2, 0, 4, 4, 2, 3, 0, 4, 0, 0, 3, 1, 3, 4, 4, 0, 3, 1, 4, 3, 1, 3, 2, 0, 4, 3, 2, 3, 3, 3, 3, 1, 3, 0, 1, 2, 3, 3, 4, 2, 2, 1, 0, 2, 4, 4, 3, 3, 4, 4, 0, 2, 4, 4, 1, 2, 2, 1, 0, 3, 2, 4, 1, 3, 2, 4, 0, 1, 3, 0, 2, 2, 4, 2, 1, 2, 1, 2, 4, 1, 0, 2, 1, 2, 4, 0, 1, 1, 0, 0, 3, 0, 4, 4, 4, 1, 2, 2, 4, 2, 1, 1, 2, 0, 3, 4, 3, 3, 0, 2, 0, 2, 3, 3, 1, 0, 4, 0, 1, 1, 4, 4, 1, 3, 2, 0, 2, 1, 4, 4, 4, 2, 2, 1, 0, 3, 2, 4, 2, 2, 4, 3, 4, 1, 4, 0, 2, 4, 3, 0, 2, 1, 1, 1, 2, 0, 2, 0, 3, 2, 1, 0, 1, 0, 3, 2, 2, 1, 2, 3, 2, 3, 3, 3, 0, 4, 4, 2, 0, 3, 2, 0, 3, 3, 0, 4, 4, 1, 4, 4, 3, 4, 3, 1, 2, 2, 1, 4, 3, 0, 1, 4, 2, 4, 1, 1, 0, 4, 0, 4, 4, 0, 4, 2, 0, 1, 1, 0, 1, 3, 3, 3, 4, 4, 4, 0, 0, 0, 4, 4, 3, 4, 3, 3, 1, 3, 1, 2, 2, 4, 3, 3, 1, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 2, 1, 2, 2, 0, 3, 2, 0, 0, 4, 3, 3, 0, 4, 3, 0, 1, 0, 0, 3, 4, 1, 1, 0, 0, 3, 4, 1, 4, 1, 3, 2, 1, 1, 1, 1, 0, 2, 4, 0, 3, 4, 4, 2, 2, 1, 0, 3, 1, 2, 2, 0, 2, 1, 3, 4, 2, 2, 3, 1, 3, 4, 3, 2, 4, 3, 3, 1, 3, 1, 4, 4, 3, 4, 1, 3, 4, 2, 1, 3, 4, 1, 3, 1, 2, 3, 3, 4, 0, 3, 1, 0, 0, 1, 2, 4, 2, 2, 3, 1, 3, 1, 4, 4, 4, 3, 1, 1, 2, 2, 1, 4, 2, 0, 2, 1, 4, 2, 2, 1, 0, 4, 4, 4, 1, 4, 4, 1]
pubkeycol1063 = [0, 2, 4, 0, 1, 2, 4, 4, 4, 0, 4, 3, 0, 0, 1, 0, 2, 4, 2, 2, 4, 3, 4, 1, 0, 1, 1, 4, 2, 4, 3, 4, 2, 2, 4, 0, 1, 2, 3, 2, 2, 3, 3, 4, 1, 0, 3, 0, 3, 0, 0, 3, 2, 3, 0, 4, 2, 3, 2, 0, 0, 1, 1, 1, 1, 3, 4, 4, 0, 4, 2, 4, 0, 2, 2, 4, 3, 1, 3, 2, 3, 1, 4, 1, 1, 1, 3, 2, 0, 3, 4, 4, 3, 1, 0, 0, 4, 4, 3, 3, 1, 3, 1, 2, 4, 4, 4, 0, 0, 4, 4, 0, 2, 4, 0, 1, 1, 3, 2, 3, 1, 3, 4, 0, 2, 3, 2, 2, 4, 2, 4, 4, 4, 0, 2, 2, 4, 1, 1, 4, 1, 0, 1, 2, 1, 1, 3, 0, 2, 3, 0, 4, 2, 1, 2, 3, 0, 4, 3, 3, 4, 3, 1, 0, 3, 1, 3, 1, 4, 4, 4, 1, 2, 0, 4, 0, 3, 1, 3, 1, 1, 0, 3, 2, 3, 4, 4, 1, 0, 1, 0, 4, 3, 3, 1, 1, 0, 4, 3, 3, 2, 4, 3, 1, 1, 3, 1, 3, 0, 4, 2, 3, 1, 1, 0, 2, 4, 4, 0, 0, 2, 3, 4, 3, 0, 0, 2, 1, 2, 1, 4, 0, 4, 2, 0, 3, 1, 1, 3, 4, 1, 2, 4, 0, 2, 0, 1, 3, 0, 3, 2, 1, 4, 3, 1, 3, 3, 0, 4, 1, 0, 4, 3, 2, 2, 3, 4, 2, 4, 1, 0, 2, 2, 1, 1, 4, 1, 2, 0, 0, 4, 4, 1, 4, 2, 3, 3, 2, 3, 1, 0, 0, 4, 0, 2, 4, 0, 3, 2, 0, 4, 2, 4, 4, 0, 2, 0, 3, 0, 0, 2, 0, 0, 0, 4, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 3, 1, 4, 2, 0, 2, 3, 0, 3, 4, 0, 4, 4, 2, 1, 1, 0, 2, 1, 4, 0, 0, 0, 4, 3, 4, 2, 3, 3, 1, 2, 0, 2, 0, 3, 4, 1, 2, 3, 0, 4, 4, 2, 1, 2, 4, 2, 0, 2, 4, 2, 4, 2, 4, 2, 1, 2, 1, 4, 1, 4, 3, 1, 4, 3, 3, 2, 3, 2, 0, 0, 1, 4, 0, 3]
pubkeycol1064 = [0, 4, 4, 0, 3, 2, 0, 4, 1, 1, 2, 2, 1, 1, 2, 2, 4, 3, 0, 2, 0, 1, 0, 2, 2, 0, 4, 4, 1, 3, 3, 2, 0, 1, 3, 3, 0, 3, 4, 2, 1, 0, 0, 1, 3, 3, 1, 0, 2, 0, 2, 2, 3, 4, 3, 3, 0, 0, 1, 0, 3, 3, 3, 0, 2, 1, 4, 3, 4, 4, 1, 2, 1, 0, 4, 3, 1, 3, 0, 1, 1, 1, 0, 3, 2, 3, 0, 1, 4, 2, 2, 4, 0, 3, 4, 2, 3, 4, 1, 2, 2, 1, 1, 1, 4, 4, 1, 2, 1, 4, 2, 0, 2, 3, 2, 3, 2, 1, 0, 1, 4, 3, 3, 4, 4, 2, 1, 4, 4, 3, 3, 1, 1, 4, 1, 2, 3, 2, 4, 1, 0, 3, 1, 0, 4, 4, 3, 2, 0, 1, 2, 3, 3, 0, 3, 3, 2, 4, 2, 4, 3, 0, 0, 1, 3, 0, 3, 0, 0, 4, 2, 4, 3, 4, 3, 0, 2, 2, 2, 3, 1, 4, 2, 0, 3, 0, 2, 4, 1, 2, 4, 2, 0, 3, 4, 0, 2, 0, 1, 4, 2, 0, 2, 2, 2, 4, 0, 4, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 4, 3, 3, 2, 3, 0, 0, 2, 2, 4, 1, 3, 1, 4, 4, 4, 1, 2, 3, 0, 4, 1, 2, 2, 2, 0, 0, 0, 3, 4, 0, 1, 0, 0, 3, 0, 2, 3, 0, 1, 3, 4, 0, 1, 2, 4, 4, 3, 1, 1, 0, 4, 1, 0, 4, 2, 2, 1, 0, 3, 3, 3, 2, 0, 4, 3, 3, 1, 4, 4, 3, 4, 2, 1, 4, 0, 2, 3, 1, 4, 2, 0, 1, 4, 4, 0, 1, 1, 3, 2, 3, 3, 3, 0, 2, 4, 1, 4, 4, 1, 3, 1, 0, 1, 3, 4, 0, 1, 2, 4, 1, 3, 4, 2, 1, 0, 4, 2, 1, 2, 1, 1, 4, 3, 0, 4, 3, 4, 4, 1, 4, 2, 1, 2, 2, 1, 0, 3, 0, 2, 2, 4, 0, 2, 3, 2, 2, 1, 1, 1, 3, 2, 2, 4, 3, 4, 3, 1, 1, 1, 4, 1, 0, 1, 1, 2, 1, 2, 1, 4, 3, 2, 3, 0, 1, 2, 0, 0]
pubkeycol1065 = [1, 3, 3, 4, 3, 0, 4, 1, 4, 0, 0, 3, 1, 2, 0, 3, 3, 1, 3, 3, 3, 1, 4, 0, 0, 1, 1, 0, 2, 3, 0, 1, 3, 3, 3, 4, 3, 1, 2, 2, 1, 1, 0, 3, 3, 2, 2, 1, 1, 2, 4, 2, 1, 4, 0, 3, 3, 2, 4, 4, 4, 2, 1, 2, 4, 0, 1, 0, 1, 2, 1, 4, 1, 0, 2, 2, 2, 1, 3, 0, 3, 0, 2, 0, 3, 0, 0, 1, 1, 2, 3, 0, 2, 4, 0, 1, 3, 2, 2, 4, 1, 3, 4, 3, 0, 4, 1, 0, 2, 1, 1, 3, 2, 3, 4, 3, 0, 1, 0, 2, 0, 0, 2, 3, 1, 1, 2, 0, 2, 1, 4, 1, 4, 4, 1, 3, 3, 0, 4, 4, 3, 0, 2, 4, 1, 1, 1, 0, 1, 2, 2, 0, 3, 1, 4, 2, 4, 4, 4, 2, 4, 2, 3, 3, 2, 4, 2, 2, 0, 2, 1, 0, 2, 3, 2, 0, 2, 0, 1, 4, 2, 0, 1, 2, 2, 0, 2, 1, 4, 2, 3, 4, 3, 1, 0, 0, 4, 3, 2, 4, 3, 0, 3, 0, 2, 3, 3, 3, 0, 2, 1, 1, 1, 3, 2, 3, 2, 0, 2, 1, 3, 3, 3, 3, 1, 4, 2, 0, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 2, 0, 2, 4, 3, 4, 4, 0, 4, 1, 1, 4, 0, 4, 0, 1, 0, 0, 2, 4, 0, 4, 4, 4, 0, 4, 2, 2, 2, 4, 1, 3, 2, 0, 1, 0, 0, 0, 3, 0, 1, 3, 2, 0, 0, 0, 4, 3, 3, 3, 3, 0, 2, 4, 4, 0, 4, 1, 0, 4, 3, 4, 2, 4, 1, 0, 0, 4, 3, 4, 1, 0, 1, 1, 2, 3, 4, 2, 3, 2, 1, 1, 4, 3, 4, 1, 3, 1, 1, 1, 3, 2, 4, 1, 0, 0, 4, 3, 1, 1, 3, 3, 2, 4, 3, 2, 4, 0, 2, 0, 0, 3, 1, 1, 2, 3, 3, 2, 1, 1, 3, 1, 0, 2, 3, 3, 4, 0, 2, 1, 2, 3, 2, 4, 3, 2, 0, 4, 2, 3, 1, 4, 3, 4, 0, 0, 1, 0, 4, 1, 3, 2, 2, 0, 4, 4, 0, 0, 2, 3, 1, 1]
pubkeycol1066 = [2, 2, 0, 3, 3, 4, 3, 4, 4, 4, 3, 3, 2, 0, 1, 3, 4, 1, 2, 1, 2, 2, 3, 4, 0, 3, 3, 4, 0, 4, 2, 2, 0, 3, 0, 0, 2, 3, 3, 3, 0, 3, 0, 1, 1, 2, 4, 3, 2, 2, 4, 1, 2, 2, 0, 2, 1, 2, 4, 4, 1, 3, 0, 2, 2, 0, 2, 2, 4, 0, 2, 2, 1, 4, 4, 3, 0, 1, 4, 4, 4, 2, 0, 2, 4, 0, 3, 3, 3, 1, 3, 1, 4, 0, 2, 1, 1, 4, 4, 0, 4, 4, 3, 1, 1, 0, 3, 3, 3, 2, 1, 3, 4, 2, 2, 1, 1, 3, 3, 0, 3, 1, 2, 3, 0, 4, 2, 0, 0, 4, 1, 3, 3, 1, 0, 4, 3, 1, 2, 2, 4, 3, 4, 4, 3, 3, 2, 2, 1, 0, 0, 3, 2, 1, 2, 0, 0, 0, 1, 0, 1, 3, 1, 0, 0, 3, 0, 0, 4, 3, 0, 4, 0, 0, 4, 4, 3, 3, 1, 3, 0, 4, 3, 0, 4, 3, 1, 4, 0, 4, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 4, 0, 0, 2, 0, 3, 4, 3, 0, 2, 2, 4, 1, 3, 1, 4, 4, 1, 2, 2, 4, 2, 2, 0, 0, 1, 4, 4, 2, 1, 1, 2, 1, 1, 4, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 4, 2, 2, 1, 3, 1, 0, 2, 1, 1, 3, 3, 2, 1, 1, 3, 0, 3, 4, 3, 2, 1, 0, 0, 0, 4, 4, 4, 2, 4, 2, 0, 2, 4, 4, 0, 3, 0, 4, 3, 2, 0, 0, 1, 2, 3, 1, 1, 3, 0, 3, 2, 1, 3, 0, 0, 4, 3, 3, 4, 3, 4, 1, 1, 2, 2, 0, 3, 0, 4, 4, 0, 0, 2, 3, 2, 1, 1, 3, 0, 4, 4, 1, 0, 0, 1, 4, 3, 4, 4, 2, 1, 3, 0, 0, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 3, 1, 0, 1, 0, 1, 3, 0, 1, 0, 4, 4, 1, 2, 4, 3, 2, 0, 4, 2, 1, 0, 1, 4, 2, 1, 1, 3, 4, 1, 3, 4, 3, 0, 2, 4, 3, 2, 2, 4, 3, 0, 2, 0, 0, 2, 2, 4, 3]
pubkeycol1067 = [1, 4, 4, 4, 2, 4, 1, 0, 4, 0, 4, 2, 4, 3, 4, 1, 3, 2, 0, 1, 0, 2, 0, 2, 2, 4, 0, 2, 1, 2, 0, 2, 3, 3, 1, 3, 4, 4, 1, 2, 4, 4, 0, 4, 2, 3, 3, 1, 2, 4, 1, 0, 2, 3, 2, 0, 1, 2, 1, 3, 4, 3, 0, 1, 4, 2, 2, 4, 0, 2, 3, 2, 3, 1, 4, 4, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 3, 1, 0, 4, 0, 2, 2, 2, 1, 0, 0, 3, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 3, 3, 0, 0, 4, 4, 3, 1, 0, 2, 2, 4, 3, 1, 2, 0, 3, 1, 4, 2, 4, 4, 2, 0, 0, 0, 4, 2, 0, 2, 0, 0, 4, 1, 2, 2, 1, 4, 4, 4, 3, 2, 0, 0, 2, 4, 4, 0, 4, 3, 1, 0, 2, 3, 4, 3, 2, 3, 1, 3, 4, 2, 4, 1, 4, 4, 4, 4, 1, 0, 0, 4, 3, 1, 2, 3, 1, 1, 1, 4, 4, 2, 3, 2, 3, 2, 1, 1, 0, 3, 3, 2, 3, 1, 0, 2, 3, 1, 1, 3, 0, 4, 0, 1, 0, 3, 0, 3, 4, 4, 0, 4, 4, 2, 4, 4, 3, 1, 4, 4, 2, 2, 3, 1, 1, 4, 2, 4, 1, 4, 1, 2, 3, 0, 3, 2, 4, 0, 2, 2, 3, 1, 3, 2, 2, 4, 2, 1, 0, 1, 4, 3, 2, 3, 2, 1, 0, 4, 1, 4, 0, 3, 1, 1, 3, 1, 3, 4, 1, 2, 1, 2, 1, 4, 1, 3, 0, 3, 2, 1, 0, 0, 0, 2, 3, 0, 1, 4, 1, 2, 0, 3, 3, 2, 1, 2, 0, 4, 3, 3, 2, 1, 3, 2, 4, 0, 3, 4, 0, 2, 4, 0, 1, 1, 1, 2, 0, 0, 3, 2, 2, 1, 2, 1, 4, 0, 0, 1, 1, 3, 4, 1, 4, 3, 2, 2, 1, 2, 1, 2, 4, 1, 1, 3, 0, 3, 0, 2, 2, 3, 4, 2, 2, 4, 3, 3, 0, 3, 3, 1, 4, 1, 3, 3, 0, 0, 0, 0, 3, 0, 2, 4, 3, 4, 1, 2, 1, 2, 0, 4, 4, 4, 4, 1, 2, 2, 0, 3, 4]
pubkeycol1068 = [1, 4, 0, 4, 4, 1, 1, 0, 3, 4, 4, 1, 4, 2, 1, 2, 2, 3, 3, 3, 0, 1, 1, 2, 1, 3, 1, 4, 2, 1, 3, 3, 1, 0, 1, 1, 1, 0, 0, 2, 4, 0, 0, 3, 1, 2, 3, 2, 4, 0, 2, 2, 3, 0, 1, 2, 3, 2, 2, 0, 1, 2, 4, 1, 0, 2, 0, 0, 0, 4, 0, 1, 0, 3, 1, 4, 1, 3, 0, 2, 4, 0, 4, 0, 3, 1, 4, 3, 3, 0, 1, 4, 1, 2, 0, 3, 4, 0, 0, 3, 4, 4, 1, 2, 0, 2, 1, 0, 1, 0, 2, 4, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 3, 3, 1, 4, 0, 0, 4, 3, 2, 3, 4, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 4, 3, 4, 4, 0, 2, 1, 0, 1, 2, 2, 3, 2, 1, 3, 2, 1, 3, 2, 2, 4, 1, 1, 4, 2, 0, 1, 4, 0, 2, 4, 3, 1, 2, 4, 0, 2, 1, 4, 1, 2, 3, 1, 1, 4, 2, 1, 4, 4, 2, 4, 3, 3, 1, 3, 1, 1, 4, 0, 4, 4, 0, 1, 3, 4, 0, 1, 3, 0, 4, 0, 1, 4, 2, 0, 0, 0, 0, 3, 2, 1, 0, 3, 3, 4, 0, 4, 4, 2, 2, 0, 0, 3, 0, 0, 1, 3, 3, 1, 3, 3, 1, 3, 3, 0, 0, 1, 4, 3, 1, 0, 0, 2, 1, 3, 2, 4, 4, 0, 1, 2, 2, 4, 0, 2, 4, 1, 1, 2, 1, 2, 4, 0, 3, 3, 1, 3, 4, 4, 0, 0, 3, 1, 4, 0, 0, 2, 0, 2, 1, 0, 4, 4, 2, 0, 4, 4, 0, 0, 0, 2, 4, 1, 4, 3, 4, 4, 4, 3, 3, 2, 3, 1, 3, 0, 1, 4, 4, 3, 2, 4, 1, 1, 4, 0, 4, 4, 1, 2, 0, 0, 1, 1, 2, 2, 1, 3, 4, 0, 3, 0, 3, 1, 1, 0, 4, 2, 4, 4, 0, 4, 1, 2, 1, 2, 0, 4, 4, 4, 4, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 3, 4, 4, 3, 0, 0, 4, 2, 0, 2, 1, 0, 1, 2, 4, 2, 0, 2, 3, 1, 0, 3]
pubkeycol1069 = [2, 3, 4, 3, 0, 1, 3, 3, 2, 2, 3, 1, 4, 4, 4, 2, 0, 1, 3, 0, 4, 0, 4, 0, 3, 2, 0, 0, 0, 1, 4, 0, 4, 3, 2, 0, 3, 4, 2, 0, 2, 2, 0, 1, 1, 1, 3, 4, 3, 3, 3, 3, 4, 3, 2, 0, 0, 1, 2, 0, 4, 2, 2, 2, 3, 2, 4, 3, 4, 0, 1, 3, 2, 3, 0, 2, 0, 3, 3, 0, 4, 0, 3, 4, 0, 3, 3, 0, 1, 3, 4, 3, 0, 0, 4, 3, 4, 0, 0, 3, 3, 0, 0, 3, 4, 0, 0, 0, 0, 3, 1, 3, 4, 1, 3, 0, 1, 0, 0, 3, 3, 2, 1, 1, 0, 2, 4, 2, 0, 4, 4, 1, 4, 1, 3, 1, 4, 4, 3, 0, 1, 1, 0, 1, 3, 3, 3, 1, 4, 2, 1, 2, 4, 4, 4, 2, 2, 3, 3, 2, 0, 4, 3, 3, 0, 0, 4, 0, 0, 3, 0, 3, 3, 0, 4, 4, 3, 0, 4, 1, 4, 4, 4, 4, 4, 4, 4, 2, 1, 4, 3, 0, 0, 4, 2, 0, 0, 3, 1, 3, 2, 3, 1, 1, 4, 3, 4, 1, 2, 3, 0, 1, 1, 3, 0, 3, 1, 3, 0, 3, 3, 3, 3, 0, 4, 2, 3, 2, 1, 2, 2, 1, 0, 3, 2, 4, 2, 4, 3, 3, 1, 1, 2, 1, 4, 2, 1, 4, 4, 0, 1, 2, 4, 1, 3, 0, 1, 1, 1, 3, 0, 2, 4, 1, 3, 2, 1, 1, 0, 0, 3, 1, 2, 0, 2, 4, 3, 3, 0, 0, 0, 1, 3, 0, 1, 3, 4, 3, 3, 3, 3, 0, 0, 0, 0, 0, 1, 1, 1, 4, 4, 4, 4, 0, 4, 1, 3, 1, 1, 3, 4, 2, 3, 1, 1, 4, 3, 0, 3, 3, 2, 4, 1, 3, 4, 4, 0, 0, 4, 4, 4, 1, 4, 2, 3, 4, 3, 3, 0, 1, 3, 2, 0, 1, 3, 3, 2, 4, 4, 1, 0, 0, 2, 4, 3, 4, 4, 2, 2, 0, 0, 0, 4, 0, 0, 2, 0, 4, 2, 2, 4, 1, 4, 4, 3, 2, 0, 3, 3, 2, 1, 1, 0, 1, 4, 1, 3, 4, 0, 3, 4, 3, 0, 4, 3, 2, 3, 1, 1, 1]
pubkeycol1070 = [3, 3, 1, 2, 2, 4, 4, 2, 4, 2, 3, 4, 4, 1, 3, 1, 4, 2, 4, 1, 4, 4, 1, 3, 1, 4, 1, 4, 0, 2, 1, 1, 0, 3, 2, 2, 1, 3, 0, 4, 4, 1, 1, 4, 0, 1, 3, 4, 2, 3, 1, 0, 0, 0, 4, 2, 2, 4, 3, 4, 3, 2, 3, 4, 1, 0, 2, 0, 1, 2, 2, 3, 3, 2, 0, 3, 4, 4, 3, 0, 1, 3, 3, 3, 1, 2, 0, 1, 2, 0, 2, 2, 3, 0, 1, 3, 0, 1, 2, 0, 1, 2, 4, 1, 1, 0, 2, 4, 0, 2, 1, 3, 4, 2, 4, 3, 2, 2, 3, 2, 1, 2, 2, 4, 1, 1, 1, 2, 3, 3, 4, 2, 4, 2, 2, 4, 1, 3, 0, 3, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 3, 0, 3, 1, 4, 2, 1, 2, 3, 1, 3, 3, 2, 3, 1, 2, 1, 0, 3, 0, 1, 4, 2, 0, 2, 1, 1, 4, 0, 2, 0, 1, 1, 3, 0, 3, 0, 2, 1, 0, 3, 4, 3, 0, 2, 2, 1, 0, 1, 4, 4, 2, 1, 3, 2, 2, 1, 0, 3, 2, 3, 4, 1, 1, 0, 2, 3, 4, 1, 3, 0, 0, 0, 1, 4, 1, 1, 0, 0, 3, 0, 1, 2, 1, 2, 4, 3, 0, 1, 0, 2, 4, 4, 0, 0, 0, 1, 4, 1, 1, 3, 1, 1, 1, 0, 2, 1, 2, 0, 3, 1, 3, 1, 4, 3, 3, 2, 2, 1, 1, 0, 1, 0, 3, 2, 2, 4, 2, 1, 3, 0, 4, 1, 4, 4, 0, 4, 2, 2, 0, 0, 1, 3, 3, 2, 4, 3, 1, 0, 4, 3, 4, 1, 3, 3, 3, 2, 4, 3, 4, 0, 0, 0, 4, 1, 4, 3, 2, 0, 1, 3, 4, 2, 4, 4, 1, 0, 3, 1, 3, 1, 0, 2, 3, 3, 4, 0, 4, 3, 0, 4, 2, 1, 1, 1, 2, 3, 1, 2, 4, 1, 4, 2, 0, 4, 3, 0, 2, 3, 0, 2, 0, 2, 3, 4, 1, 1, 4, 2, 4, 4, 3, 0, 1, 2, 2, 1, 3, 0, 0, 2, 3, 3, 1, 2, 0, 4, 3, 4, 4, 3, 0, 1, 3, 0, 4, 4]
pubkeycol1071 = [4, 0, 2, 4, 3, 2, 1, 2, 2, 2, 3, 2, 0, 2, 4, 0, 2, 2, 4, 4, 4, 2, 0, 3, 2, 1, 3, 1, 0, 2, 0, 3, 3, 0, 3, 4, 0, 2, 1, 3, 1, 1, 0, 3, 2, 2, 4, 4, 2, 3, 0, 3, 0, 1, 2, 2, 4, 2, 2, 4, 4, 4, 1, 2, 4, 3, 2, 1, 4, 4, 4, 3, 2, 0, 0, 4, 1, 4, 0, 4, 1, 2, 2, 3, 0, 4, 4, 3, 4, 3, 2, 2, 3, 2, 3, 2, 0, 3, 0, 0, 3, 1, 0, 4, 0, 0, 0, 1, 3, 3, 0, 3, 4, 4, 4, 4, 2, 4, 1, 4, 1, 4, 4, 2, 3, 0, 2, 4, 3, 1, 3, 1, 0, 4, 2, 3, 1, 0, 0, 0, 3, 2, 4, 1, 0, 2, 2, 1, 4, 2, 0, 3, 0, 3, 2, 3, 4, 0, 0, 2, 2, 4, 0, 1, 0, 1, 2, 2, 2, 3, 4, 2, 4, 4, 3, 0, 2, 1, 4, 2, 1, 1, 0, 0, 1, 2, 3, 2, 0, 4, 3, 2, 1, 3, 4, 3, 2, 0, 4, 4, 4, 2, 3, 4, 4, 0, 3, 2, 1, 1, 0, 1, 0, 1, 4, 0, 3, 3, 4, 2, 4, 0, 4, 2, 4, 2, 2, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 2, 0, 2, 1, 1, 4, 2, 2, 0, 1, 0, 1, 0, 2, 2, 4, 3, 1, 3, 3, 2, 1, 2, 0, 1, 4, 0, 0, 4, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 4, 2, 4, 4, 2, 3, 0, 4, 4, 0, 2, 3, 1, 3, 3, 1, 2, 2, 0, 3, 0, 4, 1, 2, 1, 4, 4, 2, 1, 1, 1, 3, 3, 2, 4, 2, 3, 1, 0, 3, 2, 4, 0, 2, 3, 4, 2, 1, 1, 0, 1, 1, 2, 3, 4, 2, 2, 0, 3, 1, 2, 3, 0, 4, 3, 0, 2, 0, 4, 2, 2, 1, 1, 3, 3, 3, 3, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 4, 2, 1, 3, 3, 3, 0, 3, 4, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 4, 3, 0, 1, 3, 4, 2, 1, 4, 0, 0, 1]
pubkeycol1072 = [0, 3, 3, 0, 2, 3, 1, 3, 2, 4, 4, 4, 4, 0, 1, 1, 1, 4, 4, 3, 0, 1, 1, 0, 4, 3, 1, 1, 1, 2, 3, 1, 3, 2, 3, 0, 0, 4, 0, 3, 4, 2, 2, 3, 1, 4, 1, 0, 0, 1, 2, 4, 1, 0, 3, 1, 4, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 3, 2, 2, 3, 3, 2, 0, 0, 0, 4, 0, 4, 2, 1, 4, 0, 3, 4, 1, 1, 3, 0, 2, 0, 1, 4, 4, 2, 0, 3, 1, 2, 3, 3, 0, 3, 3, 0, 0, 4, 3, 4, 2, 1, 2, 3, 2, 0, 1, 0, 2, 3, 4, 3, 2, 3, 2, 3, 4, 3, 0, 1, 4, 0, 3, 1, 0, 1, 3, 2, 4, 2, 4, 1, 4, 3, 4, 0, 3, 0, 4, 1, 4, 2, 2, 1, 1, 0, 1, 0, 1, 4, 3, 3, 4, 1, 1, 2, 3, 1, 3, 3, 2, 3, 1, 2, 4, 3, 3, 4, 3, 3, 1, 4, 2, 4, 2, 4, 0, 2, 0, 4, 3, 1, 0, 2, 2, 4, 3, 0, 2, 1, 2, 3, 1, 2, 0, 4, 4, 0, 4, 0, 2, 0, 4, 2, 1, 3, 2, 0, 4, 3, 0, 0, 2, 1, 4, 2, 1, 3, 1, 3, 1, 4, 4, 3, 3, 4, 3, 4, 4, 2, 4, 1, 3, 0, 4, 4, 0, 0, 1, 0, 3, 4, 4, 2, 1, 0, 0, 2, 4, 0, 1, 1, 4, 2, 4, 0, 1, 3, 0, 4, 2, 3, 0, 0, 4, 3, 0, 4, 0, 3, 2, 3, 2, 1, 0, 0, 1, 0, 4, 1, 1, 1, 4, 3, 3, 1, 3, 0, 2, 2, 3, 1, 0, 4, 2, 4, 1, 3, 2, 2, 4, 4, 2, 0, 4, 4, 1, 3, 1, 0, 0, 0, 3, 0, 3, 4, 1, 4, 0, 3, 2, 4, 2, 2, 0, 3, 3, 1, 0, 4, 0, 4, 1, 2, 1, 1, 1, 2, 2, 4, 1, 2, 0, 2, 2, 3, 2, 0, 2, 3, 0, 1, 3, 4, 0, 3, 0, 0, 2, 1, 0, 1, 3, 4, 0, 2, 0, 0, 1, 0, 4, 3, 0, 2, 0, 3, 4, 3, 0, 3, 4, 3, 2, 1, 4, 3, 0, 4, 1, 1, 4]
pubkeycol1073 = [0, 2, 3, 4, 4, 4, 1, 3, 0, 2, 3, 2, 0, 2, 4, 2, 4, 2, 1, 0, 4, 4, 4, 0, 0, 1, 1, 3, 3, 3, 0, 4, 4, 1, 2, 2, 1, 3, 3, 1, 2, 1, 1, 3, 2, 0, 4, 4, 3, 3, 4, 0, 4, 1, 4, 4, 4, 3, 0, 1, 1, 4, 0, 2, 1, 4, 3, 1, 4, 1, 0, 3, 3, 4, 3, 1, 0, 4, 3, 1, 4, 2, 2, 1, 3, 2, 4, 2, 0, 4, 0, 2, 0, 4, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 2, 4, 3, 3, 3, 3, 4, 1, 2, 2, 4, 3, 4, 1, 2, 1, 3, 0, 0, 0, 4, 0, 1, 2, 4, 1, 2, 1, 2, 3, 1, 0, 2, 1, 1, 1, 1, 4, 0, 4, 3, 3, 4, 0, 1, 1, 2, 3, 3, 3, 0, 4, 2, 3, 2, 0, 3, 2, 3, 0, 0, 0, 3, 0, 4, 1, 2, 4, 2, 1, 4, 3, 4, 2, 0, 4, 1, 4, 2, 1, 1, 1, 2, 0, 1, 1, 3, 0, 3, 4, 3, 0, 2, 0, 1, 3, 3, 2, 3, 4, 0, 3, 3, 0, 1, 4, 4, 0, 3, 1, 4, 1, 1, 2, 2, 2, 1, 3, 3, 3, 3, 1, 4, 4, 4, 0, 0, 4, 2, 3, 3, 0, 1, 3, 3, 3, 2, 1, 4, 1, 2, 3, 3, 3, 2, 4, 4, 3, 1, 3, 1, 1, 1, 3, 4, 3, 2, 0, 1, 0, 3, 2, 4, 4, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 0, 1, 0, 0, 2, 0, 2, 3, 3, 2, 2, 1, 4, 2, 3, 4, 3, 4, 1, 0, 3, 4, 3, 1, 0, 4, 3, 0, 1, 1, 1, 2, 4, 2, 0, 4, 1, 4, 3, 0, 0, 4, 0, 2, 3, 0, 3, 2, 3, 0, 1, 4, 3, 0, 4, 4, 3, 2, 1, 4, 1, 1, 0, 1, 1, 4, 0, 1, 1, 3, 1, 2, 1, 3, 0, 1, 1, 3, 0, 1, 3, 1, 4, 3, 2, 2, 1, 0, 2, 4, 1, 2, 1, 4, 0, 2, 4, 1, 2, 1, 1, 3, 1, 2, 2, 4, 0, 0, 2, 1, 0, 0, 4, 3, 3, 2, 1, 4, 0, 0, 4]
pubkeycol1074 = [2, 1, 3, 1, 3, 1, 1, 4, 3, 4, 0, 1, 1, 3, 1, 2, 3, 2, 2, 1, 0, 4, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 3, 0, 2, 3, 1, 0, 0, 2, 3, 2, 0, 1, 0, 1, 3, 2, 3, 1, 2, 3, 3, 2, 4, 2, 4, 4, 0, 0, 0, 2, 2, 0, 3, 1, 4, 4, 1, 4, 3, 3, 3, 0, 4, 2, 3, 1, 4, 1, 3, 4, 0, 4, 2, 2, 4, 4, 2, 2, 3, 2, 4, 3, 3, 1, 1, 4, 4, 1, 0, 4, 3, 2, 4, 0, 1, 4, 0, 0, 2, 0, 0, 2, 3, 2, 3, 3, 4, 1, 2, 2, 0, 0, 3, 1, 0, 0, 1, 0, 4, 3, 2, 2, 1, 3, 0, 4, 4, 1, 2, 0, 0, 0, 0, 4, 0, 4, 3, 1, 1, 3, 3, 0, 4, 4, 1, 2, 1, 1, 1, 4, 4, 1, 0, 3, 1, 3, 4, 4, 1, 3, 0, 3, 3, 1, 2, 3, 1, 3, 4, 0, 4, 4, 2, 0, 4, 1, 2, 1, 1, 2, 3, 1, 3, 1, 0, 0, 1, 3, 0, 2, 4, 0, 2, 0, 2, 2, 2, 0, 4, 3, 3, 0, 2, 3, 4, 2, 2, 1, 3, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 3, 1, 0, 1, 1, 2, 2, 0, 3, 0, 2, 4, 1, 3, 0, 3, 4, 0, 1, 1, 0, 4, 0, 0, 0, 3, 4, 3, 4, 3, 0, 3, 3, 0, 2, 4, 1, 4, 0, 4, 2, 1, 0, 0, 3, 3, 0, 0, 1, 3, 4, 1, 4, 4, 1, 1, 3, 1, 4, 1, 4, 0, 4, 3, 2, 4, 3, 0, 1, 4, 2, 3, 3, 4, 3, 0, 0, 1, 3, 2, 3, 0, 4, 4, 1, 1, 2, 3, 4, 0, 0, 3, 2, 3, 0, 4, 2, 3, 1, 3, 1, 3, 1, 3, 3, 2, 2, 0, 3, 4, 4, 4, 4, 3, 3, 4, 4, 1, 3, 1, 2, 4, 4, 1, 0, 2, 2, 0, 1, 0, 1, 4, 0, 3, 1, 3, 2, 3, 2, 0, 3, 2, 3, 0, 0, 3, 0, 4, 3, 0, 3, 0, 3, 4, 4, 1, 3, 0, 2, 1, 4, 2, 1, 1, 2, 4, 1]
pubkeycol1075 = [0, 2, 3, 0, 3, 3, 4, 4, 2, 0, 1, 3, 0, 0, 0, 0, 0, 0, 1, 4, 1, 1, 4, 3, 4, 2, 1, 4, 4, 1, 3, 1, 0, 4, 4, 1, 4, 3, 3, 4, 3, 0, 1, 1, 2, 0, 4, 1, 2, 1, 3, 1, 2, 0, 3, 4, 2, 0, 4, 3, 1, 2, 3, 1, 4, 2, 3, 3, 3, 3, 1, 0, 1, 0, 2, 1, 1, 3, 0, 4, 1, 3, 3, 2, 0, 1, 4, 4, 2, 1, 1, 0, 3, 1, 3, 4, 3, 4, 0, 0, 4, 4, 4, 1, 2, 1, 2, 3, 1, 3, 0, 4, 3, 2, 0, 0, 3, 1, 1, 4, 2, 4, 1, 2, 4, 4, 0, 1, 1, 1, 4, 3, 4, 1, 4, 2, 2, 0, 3, 3, 3, 4, 4, 4, 1, 1, 4, 2, 3, 1, 2, 3, 2, 0, 1, 1, 0, 4, 0, 4, 0, 0, 1, 3, 2, 0, 3, 0, 3, 2, 3, 2, 2, 3, 3, 3, 4, 0, 4, 3, 3, 2, 0, 3, 4, 2, 4, 0, 2, 2, 0, 1, 4, 0, 0, 0, 3, 4, 4, 4, 1, 1, 1, 3, 3, 0, 1, 4, 2, 4, 1, 1, 2, 1, 0, 3, 1, 2, 0, 0, 2, 1, 3, 3, 0, 0, 3, 2, 0, 3, 3, 1, 2, 2, 2, 1, 4, 1, 1, 0, 2, 3, 2, 3, 3, 1, 1, 4, 4, 4, 4, 4, 0, 4, 0, 2, 0, 4, 2, 3, 0, 3, 0, 1, 4, 1, 2, 1, 0, 1, 3, 3, 0, 3, 1, 1, 4, 2, 2, 3, 1, 4, 4, 3, 3, 1, 3, 3, 0, 0, 3, 0, 1, 1, 4, 4, 2, 3, 2, 3, 2, 1, 0, 3, 0, 2, 3, 1, 2, 0, 2, 2, 1, 3, 1, 2, 3, 0, 1, 0, 3, 1, 2, 2, 2, 3, 0, 2, 0, 3, 0, 2, 2, 4, 2, 2, 1, 0, 4, 4, 3, 1, 0, 0, 2, 2, 3, 1, 1, 2, 1, 1, 2, 0, 3, 0, 3, 1, 1, 1, 0, 4, 2, 1, 4, 1, 0, 0, 3, 3, 4, 2, 4, 2, 3, 3, 0, 1, 0, 2, 1, 1, 3, 3, 4, 2, 2, 4, 2, 1, 3, 4, 3, 4, 3, 0, 0, 1, 1, 4]
pubkeycol1076 = [4, 0, 0, 0, 3, 4, 3, 1, 1, 4, 4, 3, 0, 2, 0, 1, 4, 3, 2, 2, 1, 1, 3, 2, 4, 2, 3, 0, 0, 3, 3, 4, 2, 0, 3, 4, 4, 2, 0, 4, 4, 4, 0, 0, 3, 1, 3, 1, 4, 3, 0, 4, 2, 0, 4, 3, 3, 2, 4, 0, 1, 1, 3, 3, 4, 4, 3, 4, 3, 2, 1, 2, 2, 4, 3, 0, 2, 3, 4, 3, 3, 3, 2, 4, 0, 1, 1, 2, 2, 1, 0, 0, 3, 2, 0, 3, 0, 0, 1, 1, 1, 3, 0, 0, 4, 0, 4, 4, 3, 1, 0, 4, 3, 0, 3, 2, 4, 3, 0, 1, 3, 3, 2, 4, 2, 2, 3, 4, 3, 4, 2, 4, 1, 4, 1, 2, 3, 0, 1, 1, 3, 2, 3, 3, 0, 1, 4, 3, 2, 3, 0, 4, 3, 4, 0, 0, 2, 0, 1, 2, 1, 3, 4, 2, 3, 3, 3, 1, 4, 4, 1, 4, 3, 1, 2, 2, 3, 3, 2, 3, 3, 2, 2, 0, 3, 1, 3, 4, 0, 2, 1, 4, 4, 4, 1, 0, 0, 3, 2, 3, 0, 3, 2, 4, 0, 3, 2, 1, 2, 2, 3, 4, 4, 3, 3, 2, 4, 0, 1, 3, 0, 4, 1, 2, 0, 1, 2, 3, 2, 2, 3, 2, 2, 1, 1, 2, 3, 1, 2, 1, 4, 2, 1, 2, 2, 3, 3, 0, 3, 0, 3, 4, 4, 0, 1, 3, 0, 2, 4, 0, 0, 1, 1, 3, 1, 1, 3, 4, 3, 3, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 4, 2, 4, 2, 2, 1, 2, 2, 3, 0, 1, 0, 3, 2, 3, 2, 3, 0, 4, 1, 0, 3, 1, 3, 2, 2, 0, 0, 2, 2, 2, 2, 1, 3, 3, 4, 4, 0, 1, 2, 2, 2, 1, 2, 2, 2, 4, 1, 0, 4, 4, 0, 2, 0, 0, 1, 4, 2, 1, 2, 1, 2, 1, 1, 2, 1, 4, 2, 1, 3, 3, 3, 3, 2, 3, 2, 2, 2, 0, 3, 0, 1, 3, 0, 1, 1, 4, 4, 3, 2, 3, 0, 2, 3, 1, 0, 2, 3, 4, 1, 4, 3, 4, 0, 3, 2, 0, 4, 0, 1, 4, 0, 4, 0, 0, 4, 4, 4, 1]
pubkeycol1077 = [2, 1, 1, 1, 4, 4, 1, 3, 3, 4, 4, 3, 4, 0, 0, 1, 1, 0, 0, 3, 3, 3, 4, 2, 1, 3, 4, 4, 4, 4, 4, 3, 2, 4, 2, 3, 0, 2, 4, 0, 3, 0, 1, 3, 1, 0, 1, 0, 0, 4, 2, 4, 2, 4, 0, 1, 0, 1, 3, 3, 2, 0, 2, 0, 1, 2, 0, 4, 1, 4, 1, 4, 1, 0, 3, 2, 4, 3, 2, 4, 4, 4, 4, 0, 1, 3, 4, 2, 4, 3, 1, 4, 2, 0, 0, 1, 3, 1, 3, 2, 4, 0, 4, 4, 2, 4, 2, 3, 0, 2, 0, 4, 3, 2, 0, 0, 3, 0, 2, 3, 0, 3, 0, 4, 0, 2, 0, 3, 2, 1, 0, 4, 1, 0, 3, 2, 1, 4, 4, 4, 1, 1, 0, 3, 3, 2, 1, 0, 4, 2, 4, 2, 0, 4, 4, 1, 1, 1, 4, 1, 0, 1, 4, 1, 2, 4, 0, 0, 4, 3, 0, 2, 4, 0, 4, 4, 3, 4, 0, 3, 4, 4, 1, 4, 4, 1, 4, 4, 2, 0, 2, 3, 2, 1, 4, 4, 2, 1, 3, 4, 2, 2, 1, 3, 0, 3, 3, 4, 3, 1, 3, 2, 3, 3, 0, 0, 4, 2, 3, 3, 3, 2, 4, 3, 3, 0, 3, 2, 2, 2, 0, 3, 0, 4, 0, 4, 3, 4, 4, 3, 1, 0, 1, 3, 2, 3, 2, 1, 3, 0, 2, 4, 4, 1, 4, 1, 3, 0, 2, 0, 4, 0, 2, 2, 2, 1, 0, 3, 4, 1, 3, 2, 4, 2, 1, 4, 2, 3, 1, 1, 0, 0, 1, 3, 1, 4, 0, 4, 3, 0, 1, 0, 3, 4, 0, 0, 4, 3, 0, 2, 4, 2, 3, 4, 3, 1, 1, 4, 2, 4, 3, 3, 2, 2, 0, 0, 2, 2, 1, 1, 4, 0, 4, 1, 0, 3, 4, 0, 0, 3, 1, 4, 3, 1, 2, 4, 1, 4, 0, 4, 4, 2, 4, 0, 4, 0, 0, 3, 3, 4, 4, 4, 0, 3, 3, 0, 1, 0, 2, 1, 1, 0, 2, 3, 0, 1, 4, 3, 4, 0, 4, 4, 0, 1, 0, 2, 0, 2, 2, 1, 4, 4, 2, 2, 0, 0, 1, 0, 3, 4, 4, 0, 3, 4, 3, 4, 1, 2, 4, 4]
pubkeycol1078 = [2, 4, 2, 1, 3, 0, 4, 2, 0, 1, 2, 1, 4, 4, 1, 0, 4, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 3, 1, 0, 4, 4, 1, 2, 4, 4, 3, 1, 1, 0, 3, 0, 2, 3, 1, 2, 4, 3, 4, 1, 4, 1, 3, 1, 1, 0, 0, 4, 1, 3, 1, 4, 4, 3, 3, 2, 0, 4, 2, 0, 1, 2, 1, 3, 0, 4, 3, 1, 1, 0, 0, 0, 3, 4, 3, 2, 4, 2, 4, 4, 2, 4, 0, 4, 0, 3, 2, 4, 4, 2, 3, 1, 0, 0, 1, 2, 0, 1, 3, 3, 0, 2, 1, 1, 0, 4, 1, 1, 1, 4, 4, 3, 2, 0, 4, 0, 4, 3, 0, 4, 1, 4, 2, 2, 0, 0, 1, 0, 3, 0, 4, 4, 3, 3, 1, 2, 3, 3, 3, 4, 1, 3, 4, 3, 1, 4, 2, 4, 0, 3, 3, 4, 2, 4, 4, 2, 1, 3, 3, 4, 1, 3, 0, 3, 4, 0, 0, 3, 1, 4, 0, 1, 1, 3, 4, 2, 4, 0, 4, 3, 3, 4, 1, 3, 1, 1, 1, 2, 1, 4, 1, 2, 4, 1, 0, 2, 4, 4, 4, 2, 4, 1, 2, 1, 2, 0, 0, 4, 1, 2, 2, 3, 4, 2, 3, 2, 1, 1, 4, 2, 2, 2, 1, 0, 0, 0, 4, 3, 2, 4, 0, 3, 4, 1, 1, 3, 4, 0, 1, 3, 1, 4, 0, 0, 4, 0, 0, 1, 1, 3, 4, 4, 1, 4, 0, 3, 2, 2, 4, 0, 4, 2, 4, 2, 4, 1, 4, 4, 1, 2, 1, 3, 4, 2, 1, 4, 1, 2, 1, 1, 4, 2, 1, 0, 3, 1, 2, 2, 3, 1, 2, 3, 2, 1, 2, 1, 1, 3, 4, 1, 4, 1, 0, 4, 3, 4, 4, 4, 2, 2, 4, 0, 1, 1, 1, 3, 0, 0, 2, 1, 1, 2, 3, 0, 0, 3, 0, 1, 0, 4, 0, 2, 2, 4, 4, 4, 3, 1, 2, 2, 1, 4, 0, 0, 1, 3, 2, 1, 3, 4, 2, 3, 3, 2, 2, 4, 4, 4, 4, 0, 2, 0, 2, 3, 0, 0, 1, 2, 0, 0, 2, 2, 0, 4, 0, 4, 2, 2, 3, 2, 3, 0, 2, 1, 1, 1, 0]
pubkeycol1079 = [3, 0, 0, 2, 3, 0, 4, 4, 2, 3, 0, 1, 4, 2, 2, 2, 3, 2, 3, 4, 0, 3, 4, 4, 1, 1, 1, 4, 3, 3, 4, 2, 2, 3, 0, 3, 1, 4, 0, 2, 2, 4, 3, 1, 4, 0, 1, 1, 1, 4, 0, 2, 4, 4, 3, 0, 1, 1, 1, 2, 4, 0, 0, 4, 3, 1, 1, 3, 2, 1, 1, 2, 2, 0, 2, 1, 3, 2, 1, 2, 4, 3, 0, 4, 0, 1, 2, 0, 3, 2, 0, 4, 0, 4, 1, 2, 4, 4, 2, 1, 1, 1, 1, 1, 3, 4, 0, 0, 4, 2, 2, 3, 2, 0, 2, 3, 3, 3, 4, 3, 2, 3, 1, 3, 2, 4, 4, 3, 2, 2, 2, 0, 2, 1, 3, 2, 0, 1, 4, 3, 2, 0, 1, 3, 1, 1, 2, 1, 3, 1, 3, 3, 4, 2, 4, 2, 4, 3, 0, 1, 4, 3, 2, 2, 1, 3, 1, 3, 3, 0, 4, 1, 1, 0, 3, 1, 0, 3, 0, 1, 0, 4, 0, 4, 4, 2, 4, 0, 1, 3, 2, 0, 0, 2, 3, 0, 1, 2, 1, 3, 0, 4, 3, 4, 1, 3, 0, 1, 1, 3, 0, 1, 3, 3, 3, 4, 0, 3, 3, 2, 1, 4, 4, 1, 4, 2, 2, 2, 0, 4, 2, 2, 2, 1, 4, 2, 4, 3, 3, 2, 3, 4, 3, 0, 0, 0, 4, 1, 0, 1, 0, 0, 1, 0, 4, 0, 3, 0, 2, 2, 2, 3, 4, 4, 3, 0, 4, 4, 2, 0, 0, 4, 0, 2, 3, 3, 3, 0, 0, 4, 1, 4, 3, 1, 4, 1, 4, 0, 4, 0, 1, 3, 1, 3, 3, 3, 2, 2, 4, 1, 2, 3, 2, 1, 4, 2, 0, 4, 4, 3, 0, 2, 1, 0, 4, 3, 1, 1, 3, 0, 1, 0, 0, 2, 2, 3, 1, 4, 3, 4, 0, 0, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 4, 2, 2, 2, 3, 4, 0, 0, 1, 0, 0, 4, 1, 2, 0, 0, 4, 1, 0, 4, 0, 3, 0, 4, 2, 2, 2, 4, 1, 0, 4, 1, 4, 0, 3, 0, 2, 0, 1, 4, 4, 2, 1, 4, 0, 3, 1, 2, 0, 3, 4, 1, 2, 2]
pubkeycol1080 = [3, 3, 3, 2, 3, 1, 4, 4, 0, 0, 1, 1, 3, 2, 2, 4, 2, 3, 4, 4, 3, 0, 3, 2, 3, 2, 1, 2, 1, 2, 0, 4, 1, 4, 1, 3, 0, 0, 2, 3, 2, 1, 1, 2, 2, 4, 4, 3, 1, 4, 4, 2, 0, 2, 2, 1, 4, 0, 4, 2, 4, 3, 3, 3, 2, 0, 1, 2, 0, 0, 1, 0, 0, 4, 0, 2, 4, 3, 0, 0, 0, 2, 1, 3, 3, 3, 1, 4, 0, 1, 0, 1, 1, 4, 4, 0, 0, 2, 1, 3, 2, 1, 2, 2, 2, 0, 4, 4, 2, 2, 2, 3, 2, 3, 3, 4, 0, 2, 0, 0, 4, 4, 4, 1, 4, 0, 2, 4, 4, 3, 2, 2, 1, 2, 4, 1, 1, 1, 1, 3, 1, 2, 2, 0, 2, 4, 1, 4, 4, 4, 1, 2, 3, 2, 4, 2, 4, 1, 3, 1, 0, 0, 3, 4, 4, 2, 3, 4, 1, 4, 0, 1, 0, 3, 4, 2, 3, 4, 1, 4, 1, 3, 1, 2, 1, 3, 2, 0, 0, 0, 3, 4, 3, 0, 4, 4, 3, 4, 3, 0, 4, 4, 0, 0, 0, 4, 2, 2, 4, 3, 4, 1, 1, 2, 3, 0, 0, 0, 3, 0, 3, 2, 3, 4, 4, 2, 1, 3, 1, 4, 3, 1, 4, 4, 1, 4, 1, 1, 2, 4, 3, 0, 0, 3, 4, 2, 2, 3, 1, 0, 2, 1, 3, 1, 3, 4, 3, 2, 4, 2, 0, 4, 3, 3, 4, 4, 2, 0, 3, 2, 1, 1, 0, 0, 3, 4, 4, 1, 4, 1, 3, 2, 1, 2, 2, 1, 1, 3, 0, 2, 3, 0, 4, 0, 3, 0, 4, 0, 1, 1, 4, 0, 2, 1, 4, 1, 0, 4, 1, 4, 2, 0, 4, 0, 2, 2, 2, 1, 1, 1, 3, 0, 1, 0, 1, 1, 4, 1, 4, 0, 1, 3, 3, 0, 0, 4, 3, 0, 1, 3, 2, 1, 2, 1, 3, 0, 1, 0, 4, 4, 0, 4, 1, 3, 1, 1, 1, 4, 2, 4, 3, 2, 3, 3, 3, 4, 1, 3, 1, 0, 0, 4, 4, 4, 3, 4, 2, 1, 0, 0, 0, 3, 2, 0, 4, 3, 4, 3, 0, 4, 1, 2, 0, 0, 1, 4, 1, 4, 4, 0]
pubkeycol1081 = [2, 1, 1, 2, 3, 2, 4, 4, 3, 2, 4, 1, 0, 4, 2, 3, 4, 4, 1, 0, 2, 2, 3, 3, 3, 0, 1, 1, 4, 2, 3, 3, 4, 1, 1, 1, 3, 0, 1, 4, 2, 0, 2, 3, 1, 0, 2, 3, 4, 2, 3, 4, 0, 2, 0, 2, 0, 2, 4, 4, 0, 1, 4, 3, 0, 2, 2, 3, 4, 1, 4, 3, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 3, 2, 1, 1, 4, 4, 2, 4, 0, 4, 1, 0, 4, 3, 0, 2, 0, 2, 2, 3, 4, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 4, 0, 0, 3, 2, 2, 4, 0, 2, 1, 0, 3, 2, 3, 3, 4, 4, 1, 0, 1, 1, 1, 2, 4, 2, 0, 3, 1, 1, 1, 0, 0, 0, 3, 0, 4, 0, 0, 0, 4, 0, 0, 1, 2, 0, 2, 0, 2, 4, 0, 4, 0, 4, 2, 4, 0, 0, 4, 4, 3, 0, 2, 3, 3, 1, 4, 2, 4, 3, 3, 1, 3, 4, 4, 2, 0, 4, 2, 3, 1, 4, 4, 4, 1, 1, 4, 2, 1, 1, 4, 0, 1, 2, 2, 3, 4, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 3, 0, 2, 0, 0, 4, 1, 1, 0, 1, 0, 1, 4, 3, 3, 0, 4, 3, 0, 4, 4, 3, 2, 0, 2, 4, 1, 1, 4, 0, 4, 0, 0, 0, 2, 4, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 3, 0, 4, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 4, 0, 3, 4, 1, 4, 0, 2, 4, 0, 0, 3, 4, 4, 1, 4, 1, 0, 2, 1, 1, 1, 1, 4, 3, 3, 0, 0, 3, 3, 0, 4, 4, 3, 4, 3, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 3, 2, 2, 1, 3, 0, 2, 1, 1, 4, 2, 4, 2, 1, 1, 2, 1, 3, 2, 0, 3, 1, 1, 4, 1, 2, 1, 1, 3, 4, 1, 0, 1, 1, 2, 3, 1, 0, 2, 1, 1, 1, 4, 4, 2, 3, 3, 0, 2, 3, 2, 1, 4, 3, 2, 3, 1, 1, 4, 0, 1, 0, 1, 2, 1, 1, 0, 4, 4, 3, 0, 2]
pubkeycol1082 = [3, 4, 0, 3, 3, 3, 0, 0, 2, 0, 1, 3, 0, 3, 4, 2, 2, 4, 0, 2, 4, 0, 2, 3, 3, 4, 3, 1, 4, 4, 3, 3, 3, 4, 1, 1, 3, 1, 1, 0, 1, 0, 3, 1, 2, 4, 3, 3, 1, 2, 4, 2, 4, 1, 2, 3, 1, 3, 3, 4, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 4, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 3, 2, 1, 0, 1, 2, 0, 2, 4, 0, 4, 2, 1, 2, 1, 2, 1, 1, 0, 4, 1, 4, 4, 3, 0, 0, 0, 4, 1, 0, 2, 1, 3, 0, 0, 1, 1, 1, 0, 0, 0, 3, 4, 1, 0, 3, 1, 0, 2, 3, 4, 1, 2, 4, 3, 4, 3, 3, 3, 3, 2, 2, 1, 0, 0, 3, 0, 3, 3, 1, 1, 1, 4, 4, 2, 4, 1, 3, 1, 2, 0, 4, 3, 1, 1, 3, 3, 3, 4, 0, 4, 3, 3, 4, 2, 4, 4, 3, 1, 4, 3, 1, 3, 1, 4, 4, 0, 4, 1, 4, 1, 1, 2, 1, 3, 4, 4, 3, 3, 0, 4, 1, 1, 1, 4, 4, 2, 0, 3, 3, 0, 0, 2, 3, 0, 4, 2, 2, 0, 1, 1, 0, 0, 0, 4, 1, 0, 3, 0, 1, 3, 0, 4, 2, 4, 4, 3, 1, 0, 2, 0, 1, 2, 2, 2, 1, 3, 2, 1, 1, 0, 0, 2, 4, 0, 1, 2, 0, 2, 0, 3, 4, 2, 3, 1, 0, 0, 2, 2, 4, 0, 2, 4, 1, 2, 4, 2, 4, 4, 0, 2, 4, 4, 4, 0, 2, 1, 2, 2, 3, 4, 3, 3, 2, 4, 1, 1, 0, 4, 3, 2, 3, 0, 4, 3, 2, 2, 4, 4, 3, 1, 2, 3, 0, 2, 2, 1, 3, 1, 0, 4, 0, 1, 1, 3, 3, 4, 0, 1, 4, 4, 3, 4, 4, 4, 2, 4, 1, 3, 4, 3, 0, 0, 1, 3, 0, 4, 1, 1, 2, 4, 2, 2, 4, 1, 3, 4, 3, 1, 1, 0, 4, 4, 3, 1, 4, 3, 4, 0, 1, 1, 1, 3, 3, 2, 3, 3, 1, 4, 3, 1, 4, 3, 0, 4, 2, 0, 1, 1, 0, 4, 4, 2]
pubkeycol1083 = [0, 4, 4, 3, 0, 0, 4, 0, 3, 2, 2, 3, 2, 2, 1, 2, 1, 4, 2, 4, 1, 3, 2, 0, 3, 4, 2, 0, 4, 0, 3, 2, 3, 0, 2, 4, 1, 3, 4, 0, 3, 4, 4, 4, 1, 4, 0, 4, 2, 4, 4, 3, 3, 2, 2, 3, 1, 2, 3, 0, 3, 2, 2, 3, 3, 2, 2, 0, 4, 0, 2, 2, 4, 0, 4, 4, 3, 4, 3, 3, 1, 1, 2, 1, 1, 4, 4, 4, 0, 4, 3, 0, 0, 4, 0, 3, 4, 3, 0, 2, 1, 1, 4, 0, 4, 1, 1, 1, 3, 2, 4, 3, 1, 4, 4, 3, 0, 2, 3, 1, 2, 4, 0, 1, 1, 1, 0, 2, 3, 2, 4, 3, 4, 3, 1, 1, 4, 4, 4, 4, 0, 1, 0, 4, 0, 1, 0, 3, 1, 3, 1, 1, 4, 3, 0, 1, 4, 2, 0, 4, 1, 0, 0, 2, 2, 3, 3, 2, 4, 0, 3, 2, 1, 4, 0, 1, 3, 1, 0, 0, 1, 0, 3, 1, 4, 0, 2, 3, 4, 4, 0, 1, 1, 1, 0, 4, 1, 3, 4, 0, 1, 3, 0, 3, 3, 4, 3, 3, 3, 0, 4, 3, 0, 0, 2, 1, 2, 3, 1, 3, 3, 0, 3, 1, 1, 1, 0, 2, 1, 3, 2, 3, 4, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 4, 2, 4, 4, 1, 1, 0, 3, 1, 4, 1, 2, 3, 4, 2, 3, 3, 3, 1, 2, 3, 1, 4, 3, 1, 2, 1, 3, 3, 2, 3, 2, 4, 0, 1, 2, 4, 3, 1, 4, 4, 4, 2, 2, 1, 4, 4, 2, 2, 3, 1, 3, 1, 3, 4, 4, 3, 3, 1, 2, 2, 3, 4, 2, 1, 2, 3, 0, 3, 2, 1, 0, 1, 2, 3, 0, 3, 3, 3, 4, 0, 4, 1, 4, 0, 4, 1, 3, 3, 0, 0, 1, 1, 4, 4, 1, 0, 4, 4, 4, 4, 4, 1, 4, 2, 2, 3, 1, 2, 3, 4, 3, 3, 2, 4, 1, 1, 3, 0, 4, 2, 1, 0, 1, 0, 1, 2, 1, 3, 0, 4, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 4, 4, 3, 1, 4, 0, 0, 1, 4, 2, 3, 2, 0, 3, 0, 4]
pubkeycol1084 = [4, 0, 2, 0, 2, 0, 0, 2, 4, 0, 0, 4, 0, 1, 0, 3, 1, 0, 2, 3, 3, 0, 2, 1, 3, 2, 1, 4, 0, 1, 3, 0, 4, 2, 0, 1, 2, 1, 3, 1, 4, 4, 3, 0, 1, 0, 0, 4, 3, 0, 0, 4, 1, 2, 0, 3, 0, 4, 0, 1, 4, 4, 4, 1, 4, 3, 1, 2, 1, 2, 3, 3, 2, 4, 2, 0, 3, 4, 4, 2, 3, 0, 4, 1, 0, 1, 4, 0, 4, 1, 3, 4, 3, 1, 2, 0, 2, 4, 1, 1, 0, 0, 4, 4, 0, 4, 1, 0, 4, 2, 1, 1, 2, 3, 0, 0, 4, 1, 2, 3, 2, 0, 2, 2, 0, 1, 3, 4, 4, 4, 3, 3, 4, 3, 0, 0, 3, 0, 4, 3, 0, 0, 1, 1, 3, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 4, 0, 1, 1, 3, 2, 0, 1, 3, 4, 3, 3, 1, 0, 1, 3, 1, 1, 4, 1, 3, 0, 1, 4, 2, 2, 1, 0, 4, 1, 0, 0, 0, 0, 4, 2, 1, 2, 3, 3, 1, 4, 3, 2, 4, 4, 0, 3, 2, 0, 3, 0, 1, 3, 4, 3, 3, 2, 2, 4, 3, 2, 0, 4, 0, 4, 4, 4, 4, 0, 2, 3, 2, 4, 2, 1, 0, 0, 1, 3, 2, 4, 2, 1, 3, 1, 0, 3, 3, 3, 2, 4, 1, 3, 4, 0, 2, 2, 1, 3, 3, 0, 1, 4, 0, 0, 4, 2, 3, 0, 1, 4, 2, 2, 3, 2, 3, 4, 1, 1, 2, 1, 2, 1, 4, 2, 2, 4, 0, 1, 1, 2, 1, 3, 3, 4, 1, 3, 0, 4, 0, 4, 4, 0, 3, 4, 1, 4, 2, 3, 3, 4, 0, 4, 0, 0, 0, 3, 2, 3, 0, 2, 2, 0, 4, 4, 0, 4, 0, 0, 0, 0, 2, 3, 2, 2, 1, 0, 2, 2, 0, 3, 0, 4, 3, 0, 2, 1, 4, 4, 1, 4, 4, 0, 4, 0, 0, 3, 2, 0, 3, 3, 0, 0, 4, 0, 3, 3, 4, 0, 3, 2, 0, 1, 0, 3, 3, 2, 1, 1, 3, 0, 3, 4, 2, 0, 1, 4, 3, 3, 2, 3, 3, 2, 1, 4, 1, 2, 0, 3, 0, 0, 4, 3]
pubkeycol1085 = [1, 2, 3, 3, 3, 0, 0, 0, 4, 1, 2, 1, 4, 2, 0, 1, 2, 2, 4, 4, 3, 0, 2, 4, 1, 4, 3, 3, 1, 1, 1, 4, 3, 3, 2, 0, 4, 0, 1, 4, 3, 1, 1, 3, 2, 2, 3, 2, 2, 3, 1, 1, 4, 4, 1, 1, 3, 2, 3, 1, 4, 3, 2, 0, 0, 3, 3, 2, 3, 1, 1, 4, 3, 3, 2, 2, 0, 3, 2, 1, 4, 2, 1, 0, 3, 1, 1, 3, 4, 1, 0, 0, 3, 0, 4, 4, 3, 2, 4, 3, 4, 3, 2, 2, 1, 1, 2, 0, 3, 0, 4, 3, 0, 1, 1, 4, 4, 1, 3, 2, 2, 1, 3, 3, 2, 1, 2, 0, 3, 2, 1, 2, 0, 1, 4, 1, 2, 0, 0, 2, 1, 0, 4, 4, 0, 4, 2, 3, 3, 2, 4, 0, 0, 0, 2, 3, 2, 4, 3, 1, 1, 0, 4, 0, 2, 3, 0, 3, 2, 3, 4, 0, 4, 0, 2, 0, 3, 2, 3, 4, 0, 3, 1, 4, 0, 1, 2, 4, 4, 4, 3, 2, 2, 0, 4, 1, 3, 1, 2, 4, 4, 2, 0, 3, 2, 1, 3, 0, 0, 1, 0, 3, 2, 4, 3, 4, 0, 0, 1, 1, 3, 2, 1, 0, 4, 3, 4, 3, 4, 3, 2, 0, 2, 0, 1, 4, 0, 0, 1, 2, 1, 3, 2, 2, 4, 2, 2, 4, 1, 1, 2, 2, 0, 2, 0, 3, 1, 0, 2, 2, 0, 0, 1, 4, 0, 2, 1, 3, 3, 3, 0, 4, 3, 4, 1, 3, 4, 1, 2, 1, 0, 2, 4, 3, 4, 1, 1, 2, 3, 4, 3, 4, 0, 3, 4, 2, 3, 1, 1, 0, 0, 1, 4, 1, 3, 4, 4, 3, 4, 3, 3, 4, 3, 3, 0, 1, 1, 0, 4, 3, 3, 3, 1, 2, 2, 0, 2, 1, 1, 2, 4, 4, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 4, 0, 3, 3, 3, 2, 3, 3, 3, 4, 0, 4, 1, 0, 4, 3, 1, 1, 0, 0, 4, 3, 0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 2, 3, 1, 0, 4, 2, 4, 0, 1, 3, 2, 3, 3, 0, 4, 0, 2, 1, 4, 4, 1, 1, 0, 0, 0]
pubkeycol1086 = [1, 1, 2, 2, 3, 4, 0, 2, 2, 0, 4, 3, 0, 4, 0, 2, 4, 3, 3, 3, 2, 2, 1, 3, 3, 4, 4, 1, 3, 3, 0, 3, 2, 1, 4, 3, 0, 4, 0, 2, 1, 4, 1, 0, 0, 1, 0, 3, 4, 2, 0, 0, 4, 4, 3, 1, 4, 4, 0, 1, 2, 2, 2, 0, 3, 0, 0, 4, 2, 3, 1, 0, 1, 4, 2, 0, 0, 3, 4, 0, 1, 2, 2, 2, 1, 4, 4, 2, 2, 4, 1, 4, 2, 1, 0, 2, 4, 3, 3, 4, 0, 1, 2, 4, 0, 2, 4, 1, 4, 2, 1, 1, 1, 0, 3, 0, 3, 0, 2, 4, 3, 3, 3, 3, 0, 2, 2, 4, 0, 2, 4, 2, 0, 2, 2, 0, 0, 3, 2, 1, 3, 1, 2, 2, 1, 1, 0, 1, 4, 3, 2, 3, 3, 0, 0, 1, 3, 4, 2, 0, 0, 3, 3, 1, 4, 1, 3, 2, 1, 0, 4, 4, 2, 1, 3, 2, 0, 4, 4, 1, 4, 1, 2, 4, 3, 0, 2, 1, 2, 4, 1, 4, 1, 4, 1, 2, 2, 1, 3, 4, 0, 4, 0, 4, 4, 3, 1, 4, 0, 0, 0, 1, 0, 2, 4, 2, 3, 0, 0, 4, 4, 4, 4, 2, 1, 0, 2, 3, 0, 3, 4, 2, 2, 3, 0, 2, 4, 4, 1, 4, 3, 3, 2, 0, 0, 0, 3, 3, 2, 2, 1, 2, 1, 0, 3, 0, 1, 0, 3, 4, 4, 3, 1, 4, 1, 3, 0, 4, 2, 3, 3, 4, 1, 1, 1, 0, 1, 2, 4, 2, 4, 2, 1, 4, 2, 0, 2, 1, 3, 2, 4, 0, 2, 1, 3, 1, 0, 4, 4, 4, 1, 4, 3, 2, 4, 3, 1, 3, 0, 0, 3, 0, 3, 3, 1, 3, 1, 1, 4, 3, 2, 0, 1, 3, 0, 3, 3, 2, 4, 1, 0, 0, 1, 1, 2, 3, 1, 4, 1, 4, 2, 3, 3, 3, 3, 3, 3, 1, 0, 4, 4, 2, 1, 3, 2, 4, 4, 3, 0, 4, 2, 3, 3, 0, 1, 2, 3, 4, 2, 1, 3, 2, 3, 2, 3, 0, 0, 3, 1, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 0, 3, 2, 3, 2, 1, 4, 0, 1, 3, 3]
pubkeycol1087 = [2, 2, 2, 0, 4, 2, 3, 4, 3, 1, 0, 4, 4, 4, 4, 1, 2, 3, 0, 4, 4, 3, 4, 2, 1, 0, 4, 1, 0, 4, 3, 0, 3, 4, 1, 3, 2, 2, 0, 0, 3, 2, 2, 3, 0, 4, 4, 3, 1, 4, 3, 0, 4, 3, 3, 0, 3, 4, 2, 2, 0, 2, 2, 0, 1, 4, 3, 2, 2, 3, 4, 1, 4, 0, 2, 0, 1, 2, 0, 3, 1, 3, 2, 2, 0, 1, 1, 3, 2, 0, 3, 2, 4, 2, 3, 1, 2, 3, 4, 4, 4, 4, 3, 4, 3, 1, 4, 0, 1, 4, 3, 4, 3, 3, 3, 2, 2, 1, 4, 2, 0, 0, 0, 4, 3, 0, 2, 1, 0, 3, 2, 4, 2, 1, 3, 4, 0, 0, 4, 1, 3, 3, 2, 2, 4, 0, 4, 0, 3, 4, 4, 4, 1, 0, 3, 2, 4, 4, 0, 4, 2, 1, 0, 0, 1, 0, 3, 1, 0, 2, 2, 1, 4, 2, 2, 4, 3, 3, 0, 3, 1, 0, 1, 1, 2, 3, 3, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 4, 0, 4, 4, 3, 4, 2, 2, 4, 3, 3, 4, 3, 4, 4, 4, 3, 1, 1, 3, 1, 2, 1, 0, 0, 4, 4, 2, 3, 1, 2, 1, 0, 3, 2, 0, 3, 1, 3, 2, 4, 0, 1, 1, 0, 0, 0, 1, 4, 4, 3, 2, 3, 4, 3, 4, 3, 4, 4, 2, 2, 0, 1, 0, 3, 4, 0, 1, 4, 3, 4, 0, 1, 2, 3, 1, 0, 1, 1, 3, 2, 1, 1, 1, 1, 3, 1, 2, 0, 1, 0, 4, 3, 0, 3, 1, 3, 2, 3, 0, 4, 0, 2, 0, 2, 1, 4, 3, 3, 3, 0, 0, 1, 2, 2, 3, 2, 3, 1, 3, 1, 3, 2, 0, 4, 3, 1, 1, 3, 3, 2, 3, 2, 1, 3, 0, 2, 4, 4, 0, 4, 1, 0, 2, 1, 2, 2, 0, 1, 1, 4, 3, 1, 1, 2, 3, 0, 4, 2, 3, 2, 2, 2, 4, 3, 3, 2, 0, 0, 4, 1, 4, 1, 2, 2, 2, 3, 2, 1, 0, 3, 2, 3, 0, 2, 3, 3, 4, 4, 4, 1, 0, 4, 4, 1, 0, 1, 2, 4, 2, 4]
pubkeycol1088 = [2, 4, 1, 4, 4, 4, 3, 3, 3, 2, 1, 3, 3, 1, 1, 0, 4, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 4, 3, 3, 0, 0, 3, 3, 1, 1, 2, 2, 4, 4, 1, 0, 4, 0, 0, 3, 0, 3, 0, 1, 0, 0, 2, 4, 1, 1, 4, 0, 1, 3, 3, 0, 2, 1, 1, 3, 1, 2, 4, 2, 1, 3, 4, 0, 0, 4, 0, 4, 4, 2, 2, 2, 1, 4, 1, 3, 1, 3, 0, 3, 4, 3, 0, 0, 3, 3, 1, 4, 4, 0, 0, 0, 3, 4, 1, 3, 1, 4, 2, 4, 0, 4, 3, 1, 3, 0, 2, 4, 0, 1, 2, 3, 3, 0, 1, 1, 1, 0, 4, 4, 4, 2, 1, 2, 0, 0, 2, 0, 1, 2, 4, 1, 4, 0, 3, 2, 2, 1, 2, 4, 3, 4, 1, 0, 3, 3, 0, 0, 4, 1, 1, 3, 4, 2, 0, 4, 4, 4, 2, 1, 4, 3, 0, 4, 4, 0, 4, 1, 0, 4, 3, 2, 0, 2, 0, 0, 3, 4, 1, 0, 3, 3, 0, 3, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 3, 0, 2, 4, 3, 2, 4, 4, 2, 0, 2, 1, 4, 1, 2, 1, 1, 2, 1, 3, 0, 0, 1, 3, 4, 2, 0, 1, 4, 3, 1, 1, 3, 2, 2, 4, 1, 4, 3, 3, 3, 1, 2, 2, 1, 3, 3, 0, 3, 4, 2, 0, 4, 4, 2, 0, 4, 1, 3, 1, 0, 3, 2, 4, 2, 4, 1, 3, 2, 1, 1, 4, 3, 4, 0, 4, 2, 0, 2, 1, 3, 1, 1, 1, 4, 1, 3, 4, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 4, 4, 4, 3, 1, 4, 4, 2, 0, 3, 4, 1, 0, 0, 1, 1, 3, 4, 2, 0, 0, 4, 4, 3, 4, 3, 2, 1, 2, 4, 4, 3, 3, 0, 4, 4, 1, 2, 3, 2, 4, 0, 3, 1, 4, 3, 2, 0, 0, 4, 0, 1, 3, 1, 0, 2, 4, 1, 2, 2, 0, 3, 2, 4, 3, 4, 0, 4, 3, 0, 1, 2, 4, 1, 2, 3, 0, 1, 4, 1, 0, 1, 2, 0, 1, 4, 0, 0, 3, 1, 1, 1, 3, 3, 2, 4, 1]
pubkeycol1089 = [4, 2, 4, 2, 1, 0, 3, 4, 3, 3, 0, 3, 1, 4, 1, 2, 2, 2, 1, 3, 2, 0, 3, 2, 3, 3, 1, 4, 2, 0, 3, 1, 3, 1, 2, 4, 2, 0, 3, 3, 3, 2, 0, 2, 4, 0, 2, 3, 0, 2, 1, 0, 4, 0, 3, 3, 3, 1, 2, 1, 3, 3, 1, 1, 2, 4, 3, 3, 2, 2, 4, 0, 3, 2, 4, 3, 2, 4, 2, 4, 3, 1, 0, 2, 4, 4, 3, 4, 4, 2, 4, 0, 0, 1, 4, 3, 0, 2, 2, 4, 3, 0, 3, 3, 2, 0, 0, 4, 2, 3, 3, 0, 2, 2, 2, 1, 3, 4, 0, 3, 0, 0, 4, 0, 3, 0, 2, 2, 1, 1, 4, 1, 3, 0, 1, 3, 1, 0, 3, 4, 4, 4, 4, 3, 0, 3, 2, 4, 3, 4, 4, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 3, 0, 2, 0, 2, 3, 1, 1, 3, 4, 4, 3, 1, 2, 0, 2, 4, 3, 4, 4, 1, 3, 3, 4, 4, 0, 4, 1, 3, 0, 4, 0, 1, 0, 1, 4, 3, 2, 3, 4, 2, 3, 1, 1, 1, 2, 4, 4, 3, 0, 2, 0, 4, 3, 4, 4, 3, 1, 1, 0, 1, 1, 2, 2, 3, 2, 1, 2, 4, 0, 0, 4, 2, 4, 3, 3, 1, 1, 3, 0, 1, 3, 1, 2, 4, 1, 2, 0, 1, 1, 4, 0, 2, 4, 4, 4, 4, 1, 0, 4, 0, 3, 4, 3, 1, 2, 2, 2, 0, 3, 3, 2, 0, 3, 0, 1, 2, 3, 0, 3, 4, 4, 3, 2, 0, 2, 4, 2, 0, 3, 3, 3, 0, 1, 4, 0, 2, 1, 3, 4, 4, 1, 1, 0, 4, 0, 3, 4, 4, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 4, 2, 3, 0, 2, 3, 1, 3, 2, 4, 4, 2, 2, 3, 2, 1, 4, 4, 2, 3, 4, 0, 2, 4, 3, 3, 3, 0, 0, 2, 1, 4, 0, 3, 2, 2, 0, 2, 1, 2, 1, 3, 0, 0, 3, 3, 3, 4, 0, 0, 4, 3, 0, 3, 3, 3, 0, 2, 0, 0, 4, 3, 1, 0, 1, 1, 4, 1, 3, 0, 0, 1, 4, 3, 2, 3, 2]
pubkeycol1090 = [1, 0, 1, 1, 4, 2, 2, 2, 4, 1, 3, 4, 4, 3, 4, 3, 2, 3, 3, 2, 4, 3, 1, 3, 1, 4, 0, 2, 3, 3, 2, 0, 4, 0, 2, 0, 0, 3, 3, 0, 1, 0, 3, 2, 3, 4, 4, 1, 4, 4, 3, 3, 0, 1, 2, 3, 4, 0, 1, 4, 0, 4, 1, 1, 0, 3, 1, 3, 0, 0, 4, 0, 3, 0, 1, 2, 0, 4, 0, 4, 4, 4, 3, 1, 4, 1, 3, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 2, 4, 4, 3, 3, 1, 0, 0, 2, 0, 3, 4, 4, 2, 4, 2, 4, 0, 4, 0, 2, 1, 1, 2, 1, 4, 0, 4, 0, 3, 3, 2, 0, 1, 3, 2, 4, 3, 1, 1, 1, 1, 1, 1, 4, 0, 1, 3, 1, 0, 1, 2, 3, 0, 1, 2, 0, 1, 0, 2, 2, 3, 2, 1, 4, 3, 4, 4, 4, 2, 3, 4, 0, 3, 0, 4, 1, 4, 0, 4, 0, 2, 3, 4, 3, 2, 3, 4, 4, 4, 0, 4, 3, 2, 2, 3, 2, 4, 4, 0, 0, 4, 3, 1, 4, 2, 3, 3, 2, 2, 2, 2, 4, 4, 4, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 4, 1, 2, 3, 1, 1, 2, 3, 1, 3, 0, 3, 4, 1, 3, 1, 4, 3, 2, 2, 1, 1, 3, 3, 2, 3, 3, 4, 2, 1, 2, 0, 2, 3, 1, 2, 0, 1, 4, 4, 2, 2, 1, 3, 1, 4, 0, 3, 4, 1, 0, 4, 3, 1, 4, 4, 2, 1, 2, 3, 2, 3, 4, 2, 3, 0, 1, 1, 1, 0, 0, 0, 2, 2, 3, 1, 2, 3, 1, 2, 1, 3, 4, 4, 4, 1, 1, 2, 2, 2, 2, 1, 3, 4, 0, 1, 1, 3, 4, 1, 0, 1, 1, 2, 0, 2, 3, 3, 1, 2, 1, 1, 4, 4, 2, 2, 1, 0, 0, 4, 2, 2, 3, 0, 0, 4, 2, 0, 4, 4, 3, 2, 0, 2, 2, 2, 1, 4, 1, 2, 4, 4, 3, 1, 1, 4, 3, 0, 4, 3, 1, 0, 1, 3, 2, 4, 0, 3, 4, 1, 2, 1, 1, 2, 1, 1, 0, 1, 3, 1, 2, 3, 2, 2, 0, 1, 4]
pubkeycol1091 = [4, 1, 3, 0, 1, 3, 0, 4, 4, 2, 4, 4, 2, 1, 0, 3, 0, 2, 0, 1, 4, 3, 0, 1, 1, 2, 1, 4, 4, 1, 0, 2, 4, 2, 1, 1, 2, 3, 0, 4, 2, 2, 3, 1, 0, 4, 0, 4, 4, 2, 2, 4, 2, 4, 3, 0, 0, 4, 3, 4, 0, 4, 2, 3, 3, 4, 1, 3, 4, 3, 4, 1, 0, 0, 2, 4, 3, 1, 0, 4, 3, 1, 2, 0, 0, 0, 2, 1, 4, 2, 1, 4, 1, 3, 1, 4, 4, 1, 0, 2, 3, 2, 0, 0, 4, 1, 0, 0, 0, 0, 0, 4, 4, 0, 3, 2, 2, 3, 0, 1, 1, 4, 3, 0, 0, 3, 2, 0, 2, 0, 4, 1, 2, 0, 1, 2, 4, 1, 2, 4, 0, 1, 1, 0, 0, 3, 1, 4, 1, 3, 3, 0, 1, 2, 4, 4, 0, 4, 2, 0, 2, 3, 0, 4, 2, 1, 2, 4, 1, 3, 4, 3, 2, 0, 2, 4, 2, 3, 4, 1, 4, 0, 4, 4, 2, 2, 2, 1, 3, 2, 3, 0, 1, 0, 2, 0, 0, 2, 3, 4, 1, 3, 0, 4, 2, 0, 0, 2, 3, 3, 1, 2, 1, 4, 2, 1, 0, 2, 0, 1, 1, 4, 3, 0, 3, 4, 2, 4, 0, 3, 1, 4, 2, 3, 3, 1, 2, 0, 3, 0, 1, 4, 3, 0, 2, 4, 1, 4, 0, 1, 3, 3, 0, 2, 1, 2, 0, 0, 3, 4, 1, 3, 2, 1, 2, 3, 4, 4, 2, 1, 2, 4, 3, 0, 0, 4, 1, 1, 0, 2, 0, 1, 3, 4, 2, 4, 0, 3, 0, 2, 3, 0, 3, 2, 1, 0, 3, 2, 1, 4, 4, 2, 1, 1, 0, 2, 4, 0, 0, 2, 4, 2, 4, 0, 4, 1, 2, 0, 1, 4, 1, 4, 2, 0, 2, 4, 4, 4, 1, 1, 2, 2, 1, 0, 0, 0, 3, 2, 3, 1, 3, 4, 0, 3, 0, 4, 1, 4, 0, 2, 2, 3, 1, 2, 1, 0, 2, 0, 4, 1, 0, 1, 1, 1, 1, 4, 1, 4, 1, 1, 4, 1, 4, 3, 0, 3, 2, 3, 4, 0, 3, 3, 0, 2, 0, 4, 4, 3, 4, 2, 1, 0, 2, 3, 1, 2, 0, 2, 2, 2]
pubkeycol1092 = [1, 0, 1, 1, 2, 2, 0, 1, 3, 3, 4, 2, 1, 4, 1, 2, 0, 3, 0, 0, 1, 4, 1, 3, 4, 2, 1, 4, 0, 2, 4, 0, 0, 3, 1, 4, 1, 4, 4, 4, 2, 3, 0, 4, 1, 4, 2, 4, 2, 4, 0, 2, 4, 3, 0, 4, 4, 2, 3, 3, 0, 3, 0, 4, 2, 0, 3, 4, 0, 1, 0, 4, 1, 2, 3, 2, 0, 1, 3, 2, 3, 1, 0, 4, 3, 4, 3, 4, 3, 0, 2, 4, 3, 4, 0, 2, 0, 1, 4, 0, 4, 1, 0, 4, 2, 0, 4, 3, 4, 1, 4, 0, 2, 0, 0, 4, 4, 3, 1, 4, 3, 1, 0, 1, 4, 1, 1, 3, 1, 2, 1, 3, 2, 1, 1, 3, 1, 1, 3, 2, 3, 1, 2, 1, 0, 2, 4, 1, 1, 4, 3, 2, 2, 4, 2, 0, 1, 4, 1, 0, 2, 2, 4, 3, 0, 1, 3, 1, 4, 1, 0, 4, 4, 0, 2, 2, 3, 4, 0, 3, 2, 4, 0, 4, 0, 4, 1, 4, 1, 0, 1, 4, 0, 2, 4, 0, 1, 2, 4, 4, 1, 0, 0, 2, 4, 2, 4, 4, 1, 0, 2, 0, 3, 0, 4, 4, 0, 4, 0, 2, 0, 1, 0, 4, 0, 0, 1, 1, 0, 2, 0, 1, 4, 1, 0, 1, 4, 2, 0, 4, 3, 0, 2, 3, 4, 3, 1, 1, 4, 1, 4, 0, 0, 3, 4, 1, 0, 3, 0, 3, 2, 1, 0, 3, 1, 4, 0, 3, 3, 0, 0, 0, 1, 3, 4, 4, 2, 2, 1, 2, 0, 1, 2, 2, 3, 3, 2, 1, 2, 1, 4, 1, 0, 2, 4, 3, 2, 2, 4, 2, 0, 1, 3, 4, 1, 0, 2, 2, 0, 2, 4, 2, 4, 1, 2, 2, 1, 3, 1, 4, 2, 1, 2, 0, 4, 3, 2, 3, 2, 4, 1, 4, 2, 3, 2, 3, 1, 0, 4, 0, 3, 3, 0, 3, 1, 4, 1, 4, 1, 3, 2, 3, 3, 2, 0, 1, 0, 2, 2, 2, 1, 4, 2, 0, 4, 3, 1, 3, 4, 2, 1, 1, 3, 0, 4, 4, 3, 3, 1, 2, 4, 3, 0, 2, 1, 1, 0, 4, 0, 2, 2, 1, 4, 4, 0, 4, 3, 2, 2, 1]
pubkeycol1093 = [4, 3, 4, 3, 4, 0, 1, 3, 1, 2, 0, 2, 2, 0, 4, 4, 1, 4, 3, 2, 4, 4, 0, 0, 2, 1, 2, 4, 2, 4, 3, 2, 4, 0, 3, 2, 2, 1, 0, 3, 0, 4, 4, 1, 2, 1, 4, 1, 0, 1, 3, 3, 2, 0, 4, 0, 4, 2, 0, 0, 3, 1, 4, 2, 2, 4, 3, 0, 3, 2, 4, 2, 3, 1, 4, 1, 0, 3, 0, 2, 2, 4, 4, 1, 2, 3, 3, 3, 1, 4, 1, 0, 3, 4, 2, 0, 1, 2, 2, 4, 4, 2, 2, 2, 2, 0, 3, 1, 1, 3, 2, 0, 0, 3, 3, 3, 2, 0, 1, 3, 4, 0, 4, 4, 1, 3, 2, 0, 0, 2, 0, 4, 1, 2, 4, 2, 0, 3, 4, 4, 3, 0, 1, 2, 3, 0, 0, 2, 3, 2, 4, 4, 2, 3, 2, 4, 2, 1, 0, 0, 3, 2, 0, 4, 0, 0, 1, 1, 1, 0, 2, 2, 2, 4, 3, 1, 1, 3, 0, 2, 0, 3, 0, 0, 1, 3, 3, 1, 0, 2, 2, 0, 2, 2, 4, 2, 4, 1, 3, 3, 2, 4, 3, 2, 1, 1, 3, 3, 0, 3, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 0, 4, 3, 4, 4, 1, 2, 2, 1, 2, 1, 3, 4, 0, 1, 0, 3, 2, 2, 4, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 3, 4, 0, 3, 1, 3, 4, 1, 3, 0, 2, 0, 2, 4, 0, 0, 1, 3, 4, 4, 4, 0, 3, 4, 3, 2, 0, 0, 4, 1, 0, 4, 1, 1, 3, 3, 3, 4, 1, 0, 0, 0, 2, 4, 4, 2, 1, 1, 2, 3, 0, 1, 1, 3, 4, 0, 0, 4, 2, 0, 0, 3, 4, 3, 1, 1, 3, 3, 3, 0, 2, 0, 0, 3, 4, 3, 4, 2, 4, 2, 2, 1, 2, 4, 0, 0, 3, 2, 0, 3, 2, 1, 0, 0, 1, 1, 0, 4, 1, 0, 4, 3, 1, 4, 0, 0, 0, 4, 3, 4, 1, 2, 1, 3, 2, 3, 3, 2, 0, 4, 2, 3, 4, 3, 3, 1, 0, 1, 4, 0, 4, 4, 4, 3, 4, 2, 1, 0, 1, 2, 1, 3, 0, 2, 1, 1, 4, 0]
pubkeycol1094 = [2, 3, 0, 2, 3, 3, 2, 2, 1, 3, 3, 3, 2, 1, 4, 3, 2, 1, 2, 4, 0, 2, 2, 3, 1, 3, 4, 1, 1, 3, 3, 3, 1, 4, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 1, 1, 2, 4, 3, 1, 2, 3, 4, 0, 2, 2, 1, 4, 4, 1, 1, 1, 2, 3, 2, 0, 0, 4, 1, 4, 2, 0, 4, 4, 3, 0, 2, 3, 2, 0, 3, 3, 4, 3, 0, 3, 4, 2, 2, 3, 2, 0, 3, 2, 0, 1, 3, 2, 1, 2, 4, 0, 1, 4, 1, 4, 3, 3, 2, 4, 2, 0, 3, 0, 1, 1, 1, 3, 1, 2, 2, 4, 0, 1, 3, 2, 4, 4, 3, 0, 1, 0, 2, 0, 2, 2, 2, 3, 0, 0, 3, 2, 2, 1, 1, 0, 1, 1, 0, 4, 3, 1, 2, 0, 4, 2, 0, 1, 3, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 4, 4, 0, 2, 2, 0, 4, 3, 4, 3, 0, 3, 4, 0, 2, 3, 4, 4, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 4, 1, 4, 2, 4, 4, 3, 2, 4, 2, 0, 2, 1, 2, 3, 4, 3, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 4, 2, 4, 4, 0, 4, 1, 4, 0, 1, 1, 2, 3, 4, 3, 3, 4, 4, 1, 0, 0, 4, 3, 0, 1, 0, 4, 2, 0, 3, 0, 1, 1, 4, 3, 3, 4, 4, 2, 3, 2, 1, 1, 1, 0, 0, 4, 3, 0, 3, 0, 1, 1, 3, 3, 2, 4, 0, 0, 1, 4, 3, 4, 1, 3, 1, 1, 3, 0, 2, 3, 1, 4, 2, 2, 1, 0, 4, 4, 2, 0, 4, 2, 4, 1, 2, 0, 4, 2, 4, 1, 1, 3, 2, 0, 2, 3, 1, 0, 0, 1, 2, 1, 3, 0, 4, 3, 3, 4, 4, 3, 4, 4, 3, 3, 1, 0, 2, 2, 4, 4, 0, 2, 3, 4, 1, 0, 0, 2, 1, 1, 0, 4, 0, 0, 1, 0, 1, 3, 0, 0, 3, 3, 2, 0, 2, 3, 4, 3, 1, 3, 2, 1, 0, 0, 3, 4, 2, 3, 1, 0, 2, 1, 4, 0, 2, 2, 4, 2, 3, 4, 2]
pubkeycol1095 = [2, 0, 3, 1, 1, 0, 3, 2, 3, 1, 3, 1, 3, 4, 2, 3, 2, 3, 1, 1, 0, 4, 0, 2, 0, 2, 4, 4, 2, 3, 4, 2, 3, 0, 4, 2, 3, 1, 3, 4, 1, 4, 4, 3, 2, 1, 3, 4, 3, 0, 2, 4, 4, 1, 2, 2, 3, 2, 1, 3, 2, 1, 1, 3, 1, 3, 0, 0, 3, 1, 0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 3, 3, 2, 4, 0, 0, 3, 0, 4, 4, 3, 2, 2, 0, 1, 2, 2, 0, 3, 3, 4, 3, 2, 2, 1, 2, 4, 2, 4, 1, 4, 3, 4, 1, 4, 3, 3, 0, 4, 2, 3, 4, 0, 1, 3, 0, 1, 0, 0, 3, 4, 3, 4, 4, 0, 1, 4, 3, 3, 3, 1, 0, 4, 0, 1, 1, 0, 0, 1, 4, 2, 3, 4, 2, 3, 2, 0, 0, 1, 4, 2, 4, 0, 0, 4, 2, 2, 0, 1, 0, 1, 1, 0, 4, 1, 0, 2, 2, 3, 2, 0, 0, 0, 3, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 3, 1, 2, 4, 4, 2, 2, 2, 4, 2, 0, 3, 1, 3, 3, 2, 3, 3, 2, 0, 3, 3, 0, 1, 3, 3, 3, 4, 3, 4, 4, 1, 3, 4, 2, 1, 3, 1, 1, 1, 4, 0, 2, 0, 1, 1, 1, 0, 2, 3, 3, 4, 4, 3, 1, 4, 0, 2, 0, 3, 3, 1, 1, 1, 3, 4, 1, 3, 3, 2, 2, 1, 3, 0, 0, 0, 0, 1, 3, 0, 0, 0, 3, 4, 4, 4, 2, 1, 0, 2, 4, 2, 2, 1, 1, 4, 4, 3, 3, 1, 3, 4, 2, 1, 2, 2, 3, 4, 1, 4, 3, 0, 4, 0, 0, 4, 2, 0, 2, 4, 4, 1, 4, 3, 4, 1, 1, 4, 3, 4, 0, 1, 1, 2, 3, 4, 3, 3, 2, 3, 1, 2, 2, 2, 0, 1, 1, 3, 0, 2, 2, 3, 4, 1, 3, 2, 1, 2, 2, 4, 0, 3, 0, 0, 4, 4, 4, 1, 2, 4, 3, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 4, 3, 4, 2, 0, 0, 2, 4, 3, 4, 0, 2, 0, 4, 3, 4, 2, 0, 0]
pubkeycol1096 = [0, 2, 2, 2, 3, 3, 3, 4, 0, 2, 4, 0, 0, 3, 4, 0, 0, 0, 2, 3, 3, 0, 4, 0, 4, 4, 1, 3, 0, 1, 4, 1, 2, 0, 4, 2, 1, 3, 3, 0, 0, 0, 4, 4, 3, 2, 1, 3, 0, 3, 0, 1, 4, 3, 3, 2, 1, 0, 1, 1, 3, 0, 1, 1, 4, 2, 2, 3, 3, 0, 4, 0, 2, 0, 4, 4, 3, 0, 2, 4, 3, 3, 4, 3, 0, 4, 4, 3, 1, 1, 0, 4, 0, 3, 4, 1, 3, 4, 2, 3, 3, 0, 1, 3, 0, 1, 3, 3, 1, 4, 4, 4, 2, 1, 3, 2, 0, 1, 1, 4, 1, 2, 0, 1, 3, 0, 3, 0, 2, 3, 0, 3, 4, 0, 1, 3, 3, 0, 3, 0, 2, 1, 2, 0, 4, 1, 1, 2, 4, 3, 3, 3, 4, 2, 2, 3, 4, 1, 4, 2, 3, 2, 4, 2, 0, 3, 3, 0, 2, 0, 4, 3, 2, 2, 4, 2, 3, 4, 4, 4, 4, 1, 4, 2, 4, 0, 0, 1, 3, 0, 2, 4, 1, 1, 4, 3, 1, 2, 2, 4, 2, 0, 3, 0, 1, 4, 4, 0, 4, 0, 3, 4, 2, 2, 4, 1, 2, 0, 1, 3, 3, 4, 2, 3, 1, 1, 1, 2, 2, 4, 4, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 1, 2, 4, 3, 2, 0, 1, 3, 4, 3, 1, 1, 2, 4, 4, 1, 0, 4, 1, 1, 4, 3, 1, 1, 0, 4, 3, 3, 0, 2, 1, 4, 2, 0, 0, 2, 4, 4, 2, 2, 2, 2, 2, 3, 1, 0, 1, 4, 2, 4, 2, 1, 1, 4, 2, 4, 0, 4, 3, 3, 1, 4, 0, 1, 3, 1, 0, 0, 2, 2, 4, 3, 3, 2, 3, 3, 2, 2, 0, 2, 2, 3, 0, 1, 3, 0, 4, 3, 4, 1, 1, 1, 0, 2, 4, 4, 0, 1, 4, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 1, 4, 1, 1, 4, 3, 2, 0, 2, 2, 3, 3, 4, 2, 3, 4, 2, 2, 0, 1, 4, 1, 1, 3, 0, 2, 2, 2, 3, 1, 0, 1, 0, 1, 3, 0, 2, 4, 1, 0, 4, 0, 0, 0, 4, 1, 4, 4, 4, 0]
pubkeycol1097 = [0, 0, 4, 2, 0, 2, 2, 4, 3, 2, 3, 4, 1, 0, 2, 3, 2, 2, 1, 1, 2, 4, 4, 2, 2, 3, 3, 0, 3, 4, 2, 1, 0, 1, 1, 4, 3, 1, 3, 0, 3, 1, 3, 2, 0, 0, 4, 2, 1, 3, 2, 0, 4, 1, 4, 0, 0, 3, 1, 2, 2, 1, 2, 0, 3, 4, 3, 3, 1, 2, 3, 0, 3, 1, 2, 1, 2, 3, 0, 3, 2, 0, 0, 4, 4, 1, 2, 3, 3, 4, 2, 1, 4, 0, 3, 3, 2, 1, 3, 4, 4, 4, 0, 2, 0, 2, 4, 2, 4, 2, 0, 1, 3, 3, 3, 2, 4, 3, 4, 3, 0, 3, 2, 2, 2, 4, 2, 2, 0, 1, 3, 4, 2, 2, 3, 4, 2, 2, 3, 4, 4, 4, 3, 1, 4, 4, 0, 4, 3, 1, 4, 3, 4, 3, 2, 3, 3, 2, 0, 2, 1, 1, 0, 4, 4, 1, 3, 4, 1, 1, 0, 0, 3, 1, 3, 2, 2, 2, 0, 4, 4, 4, 0, 2, 1, 3, 3, 3, 1, 3, 4, 3, 4, 0, 3, 2, 0, 3, 4, 3, 1, 4, 1, 3, 4, 1, 1, 3, 3, 0, 0, 1, 4, 3, 3, 0, 3, 2, 1, 3, 0, 3, 4, 0, 2, 2, 1, 2, 0, 3, 1, 1, 3, 3, 4, 4, 2, 3, 3, 2, 4, 3, 1, 2, 0, 2, 0, 4, 4, 4, 0, 3, 1, 1, 2, 2, 4, 0, 4, 3, 2, 1, 3, 4, 4, 3, 2, 4, 2, 2, 4, 3, 3, 3, 4, 2, 4, 2, 2, 1, 1, 1, 1, 0, 0, 3, 2, 4, 2, 3, 1, 1, 4, 1, 0, 2, 0, 3, 1, 3, 1, 2, 1, 4, 3, 0, 2, 4, 4, 1, 3, 0, 2, 3, 3, 0, 1, 4, 2, 2, 3, 2, 0, 2, 2, 1, 4, 2, 0, 4, 2, 1, 3, 2, 2, 2, 4, 4, 2, 4, 2, 1, 0, 1, 4, 1, 1, 0, 3, 2, 4, 3, 1, 4, 1, 2, 4, 1, 3, 4, 1, 1, 1, 1, 2, 0, 1, 4, 0, 2, 0, 1, 0, 0, 3, 2, 3, 1, 3, 4, 1, 0, 2, 0, 3, 0, 4, 4, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 1, 0]
pubkeycol1098 = [1, 3, 4, 1, 2, 4, 2, 2, 3, 2, 4, 1, 4, 3, 3, 1, 1, 4, 4, 1, 4, 1, 3, 4, 4, 1, 2, 1, 1, 3, 4, 4, 1, 0, 0, 1, 3, 4, 1, 4, 2, 3, 1, 4, 0, 3, 0, 3, 1, 0, 2, 1, 0, 0, 0, 1, 3, 3, 2, 1, 0, 3, 0, 3, 1, 1, 2, 4, 1, 0, 2, 2, 1, 2, 1, 2, 3, 3, 1, 3, 2, 4, 3, 0, 2, 3, 2, 3, 2, 1, 1, 4, 3, 4, 1, 3, 1, 1, 4, 0, 4, 0, 0, 0, 2, 3, 4, 4, 4, 1, 0, 3, 2, 4, 2, 0, 2, 1, 4, 0, 3, 1, 3, 2, 3, 3, 3, 0, 4, 0, 1, 4, 1, 0, 2, 0, 2, 4, 2, 1, 0, 4, 3, 2, 2, 2, 1, 2, 2, 4, 1, 0, 3, 3, 3, 3, 0, 2, 1, 0, 3, 1, 1, 2, 1, 2, 3, 4, 2, 1, 2, 4, 4, 4, 1, 4, 1, 0, 1, 2, 0, 1, 0, 4, 0, 3, 3, 1, 0, 0, 0, 4, 1, 3, 0, 2, 4, 2, 2, 3, 4, 0, 0, 1, 4, 4, 1, 0, 0, 1, 0, 1, 3, 0, 1, 0, 3, 0, 4, 1, 0, 0, 2, 4, 1, 3, 4, 4, 1, 4, 1, 1, 4, 4, 2, 2, 4, 4, 1, 4, 4, 1, 1, 1, 4, 4, 0, 4, 3, 3, 0, 3, 4, 1, 3, 0, 3, 1, 3, 2, 2, 2, 0, 3, 1, 1, 0, 3, 2, 3, 0, 4, 0, 1, 3, 4, 0, 2, 4, 0, 3, 4, 2, 1, 2, 1, 1, 3, 3, 3, 1, 0, 1, 1, 2, 2, 4, 0, 0, 0, 4, 4, 4, 0, 4, 1, 2, 3, 0, 1, 0, 0, 2, 1, 1, 4, 1, 2, 3, 0, 2, 4, 2, 0, 4, 2, 0, 4, 4, 4, 1, 4, 2, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 1, 2, 1, 2, 3, 3, 4, 2, 0, 3, 3, 4, 3, 3, 4, 0, 0, 0, 3, 1, 3, 3, 0, 4, 1, 3, 1, 2, 4, 3, 2, 0, 3, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 1, 4, 4, 2, 1, 0, 4, 1, 4, 0, 2, 0, 0]
pubkeycol1099 = [1, 0, 0, 2, 0, 0, 3, 0, 4, 4, 3, 3, 4, 2, 4, 0, 3, 0, 1, 4, 2, 3, 2, 2, 2, 0, 1, 3, 4, 1, 1, 3, 1, 0, 2, 3, 0, 1, 0, 2, 1, 2, 2, 3, 2, 1, 2, 0, 3, 4, 4, 3, 4, 2, 0, 3, 3, 4, 0, 0, 3, 0, 0, 2, 4, 3, 3, 2, 1, 0, 3, 1, 0, 1, 3, 4, 3, 2, 2, 3, 0, 3, 3, 0, 1, 0, 0, 0, 4, 1, 0, 0, 3, 1, 4, 3, 4, 1, 3, 1, 2, 1, 2, 4, 2, 4, 4, 4, 0, 3, 2, 2, 4, 0, 2, 4, 4, 4, 2, 3, 3, 4, 3, 2, 0, 3, 4, 3, 1, 2, 0, 3, 4, 1, 2, 0, 3, 3, 4, 1, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 4, 0, 1, 2, 2, 0, 1, 3, 4, 2, 2, 1, 3, 4, 0, 4, 1, 2, 2, 0, 4, 1, 1, 2, 4, 0, 2, 4, 3, 2, 3, 3, 3, 0, 1, 0, 3, 0, 4, 3, 0, 3, 2, 3, 0, 1, 2, 3, 4, 0, 0, 3, 2, 4, 3, 2, 3, 3, 2, 3, 2, 2, 4, 4, 0, 1, 2, 0, 4, 2, 1, 0, 4, 4, 2, 1, 4, 2, 2, 1, 0, 3, 3, 0, 0, 0, 1, 4, 0, 4, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 3, 3, 3, 1, 0, 3, 0, 4, 2, 3, 0, 2, 4, 0, 0, 4, 3, 3, 2, 1, 1, 3, 3, 3, 3, 4, 0, 1, 0, 1, 0, 0, 2, 3, 4, 2, 3, 2, 3, 3, 4, 1, 0, 4, 3, 1, 1, 4, 3, 2, 0, 2, 3, 0, 4, 1, 2, 1, 1, 3, 0, 4, 0, 4, 0, 4, 4, 3, 3, 3, 0, 2, 2, 1, 1, 2, 3, 1, 2, 1, 4, 3, 1, 0, 1, 0, 2, 0, 4, 2, 3, 0, 0, 4, 4, 0, 4, 2, 1, 4, 0, 4, 4, 2, 2, 1, 1, 4, 3, 4, 1, 2, 3, 1, 2, 0, 1, 4, 2, 0, 3, 4, 2, 1, 0, 2, 4, 0, 4, 1, 2, 3, 2, 4, 0, 2, 4, 1, 3]
pubkeycol1100 = [3, 2, 4, 1, 0, 2, 2, 1, 0, 2, 2, 3, 0, 0, 3, 0, 0, 4, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 1, 1, 1, 4, 2, 0, 2, 2, 0, 3, 1, 1, 1, 2, 1, 2, 2, 2, 4, 1, 2, 4, 4, 1, 4, 4, 4, 3, 2, 4, 2, 2, 2, 1, 1, 1, 1, 1, 4, 2, 4, 0, 3, 3, 3, 1, 3, 4, 3, 3, 0, 2, 0, 3, 2, 3, 2, 0, 2, 0, 1, 3, 0, 2, 1, 3, 3, 3, 3, 3, 1, 4, 3, 4, 2, 1, 4, 3, 3, 0, 4, 1, 3, 0, 0, 2, 4, 4, 0, 4, 3, 1, 0, 2, 2, 0, 1, 1, 4, 1, 2, 3, 2, 2, 0, 0, 2, 1, 1, 2, 4, 1, 0, 0, 4, 4, 2, 0, 0, 4, 4, 4, 4, 1, 4, 2, 2, 3, 1, 3, 4, 0, 3, 3, 1, 1, 2, 4, 4, 4, 1, 0, 2, 3, 3, 0, 4, 2, 1, 2, 4, 2, 3, 0, 2, 4, 4, 1, 2, 4, 2, 2, 0, 0, 4, 4, 4, 2, 4, 4, 4, 0, 2, 0, 3, 1, 2, 1, 3, 4, 4, 0, 2, 4, 4, 3, 2, 0, 4, 1, 4, 4, 4, 0, 3, 3, 2, 3, 3, 3, 4, 1, 4, 4, 4, 2, 3, 4, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 0, 2, 3, 2, 3, 1, 0, 2, 3, 4, 2, 2, 4, 1, 0, 1, 2, 3, 0, 1, 3, 2, 0, 3, 3, 2, 2, 0, 3, 1, 2, 1, 2, 1, 0, 4, 4, 4, 2, 1, 0, 4, 0, 0, 3, 3, 4, 1, 4, 0, 4, 2, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 2, 2, 0, 3, 4, 2, 2, 0, 0, 2, 3, 0, 1, 0, 3, 1, 4, 4, 1, 4, 1, 4, 4, 2, 0, 2, 0, 4, 1, 3, 0, 4, 3, 0, 2, 4, 3, 0, 1, 1, 2, 1, 0, 0, 1, 0, 4, 4, 0, 0, 1, 3, 4, 2, 1, 2, 1, 4, 2, 1, 1, 0, 1, 1, 2, 3, 3, 2, 4, 1, 0, 3, 0, 3, 3, 4, 0, 0, 4, 0, 1, 1, 3, 3, 1, 4, 0, 1, 0, 1, 0, 1]
pubkeycol1101 = [3, 1, 0, 1, 2, 1, 3, 2, 2, 1, 4, 4, 3, 3, 0, 4, 3, 0, 1, 1, 2, 1, 1, 4, 1, 2, 4, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 3, 1, 0, 1, 0, 4, 2, 0, 2, 0, 2, 2, 2, 2, 4, 2, 1, 2, 3, 3, 2, 1, 3, 0, 0, 3, 3, 4, 4, 4, 0, 4, 4, 2, 1, 3, 0, 2, 1, 0, 4, 0, 4, 0, 2, 3, 1, 3, 4, 3, 2, 0, 3, 4, 2, 2, 0, 1, 2, 4, 3, 0, 0, 4, 4, 4, 2, 4, 1, 4, 4, 4, 3, 1, 3, 2, 0, 1, 0, 1, 4, 1, 4, 1, 0, 0, 2, 3, 1, 1, 2, 4, 0, 4, 1, 0, 0, 1, 3, 1, 2, 0, 1, 0, 4, 2, 1, 2, 1, 4, 3, 0, 4, 0, 3, 2, 3, 4, 0, 1, 1, 2, 0, 1, 3, 2, 1, 1, 1, 2, 2, 4, 0, 2, 2, 1, 3, 0, 3, 1, 3, 1, 3, 0, 2, 4, 0, 0, 4, 4, 0, 4, 4, 0, 3, 0, 0, 3, 3, 2, 3, 2, 0, 3, 4, 0, 4, 3, 2, 3, 4, 2, 0, 1, 0, 4, 3, 2, 0, 2, 3, 1, 0, 3, 1, 1, 3, 2, 0, 2, 1, 0, 1, 3, 3, 0, 0, 2, 3, 4, 3, 4, 4, 0, 3, 1, 3, 0, 1, 1, 3, 3, 4, 3, 3, 2, 1, 1, 3, 0, 4, 2, 0, 2, 0, 1, 2, 4, 0, 3, 1, 1, 2, 2, 0, 3, 2, 0, 1, 1, 2, 4, 1, 3, 1, 4, 0, 1, 2, 4, 1, 0, 2, 0, 0, 1, 1, 0, 0, 4, 3, 3, 1, 2, 1, 2, 3, 2, 2, 0, 2, 0, 0, 1, 0, 4, 3, 3, 4, 3, 2, 2, 3, 1, 4, 1, 1, 3, 0, 1, 1, 2, 3, 0, 0, 4, 0, 1, 3, 1, 2, 2, 2, 2, 4, 1, 4, 2, 2, 3, 1, 4, 3, 3, 0, 4, 2, 3, 3, 0, 0, 2, 3, 3, 3, 1, 2, 1, 4, 3, 4, 3, 4, 2, 4, 2, 0, 1, 4, 3, 4, 4, 1, 4, 3, 4, 1, 1, 0, 0, 2, 3, 4, 2, 0, 2, 3, 3, 0, 2, 3, 0, 4]
pubkeycol1102 = [1, 4, 3, 3, 1, 3, 3, 1, 4, 3, 4, 3, 1, 0, 4, 2, 2, 0, 1, 2, 4, 4, 4, 1, 2, 4, 2, 2, 0, 2, 2, 1, 0, 2, 4, 1, 1, 1, 0, 3, 2, 1, 2, 2, 3, 4, 3, 3, 1, 2, 0, 0, 4, 2, 1, 1, 3, 1, 4, 1, 3, 4, 0, 1, 2, 0, 0, 0, 4, 3, 1, 0, 4, 4, 1, 2, 1, 2, 4, 4, 2, 2, 1, 1, 0, 3, 4, 0, 2, 4, 2, 2, 1, 3, 1, 4, 1, 2, 3, 3, 3, 0, 0, 3, 4, 2, 4, 0, 1, 4, 3, 0, 3, 4, 2, 0, 0, 0, 3, 1, 1, 4, 4, 0, 1, 3, 0, 0, 3, 2, 3, 1, 0, 4, 0, 3, 0, 1, 2, 1, 2, 4, 4, 1, 3, 2, 4, 4, 1, 2, 2, 1, 1, 2, 4, 2, 2, 3, 3, 3, 3, 3, 4, 2, 0, 3, 4, 1, 2, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 3, 3, 2, 3, 0, 2, 1, 0, 3, 3, 1, 4, 4, 2, 2, 1, 0, 1, 3, 4, 4, 1, 3, 4, 4, 3, 4, 4, 2, 1, 2, 0, 3, 4, 2, 0, 3, 2, 2, 1, 2, 3, 3, 3, 3, 0, 0, 1, 0, 2, 3, 0, 0, 3, 1, 0, 4, 2, 2, 2, 0, 1, 0, 2, 3, 3, 1, 1, 2, 0, 0, 4, 3, 1, 4, 2, 0, 2, 2, 3, 1, 4, 0, 4, 2, 1, 2, 4, 3, 4, 4, 2, 2, 0, 4, 1, 3, 3, 3, 3, 0, 3, 0, 1, 1, 0, 4, 0, 3, 0, 1, 4, 0, 0, 2, 3, 2, 4, 2, 3, 0, 1, 2, 2, 0, 3, 0, 2, 3, 2, 0, 0, 2, 4, 3, 3, 1, 3, 3, 0, 1, 4, 4, 3, 0, 3, 3, 0, 4, 1, 4, 3, 3, 4, 0, 3, 2, 0, 3, 0, 0, 4, 2, 4, 3, 1, 0, 3, 4, 3, 2, 3, 1, 1, 0, 0, 2, 2, 4, 3, 2, 4, 4, 3, 0, 4, 4, 2, 4, 4, 1, 0, 1, 3, 0, 3, 4, 0, 3, 2, 0, 4, 0, 0, 3, 1, 2, 4, 4, 1, 2, 3, 2, 0, 1, 0, 1, 4, 0, 0, 1]
pubkeycol1103 = [4, 0, 2, 4, 0, 3, 4, 3, 4, 4, 0, 0, 3, 1, 3, 4, 0, 1, 2, 1, 4, 1, 4, 4, 1, 1, 1, 3, 3, 3, 1, 1, 0, 3, 2, 3, 0, 4, 0, 0, 3, 0, 1, 1, 3, 2, 1, 0, 0, 2, 0, 3, 1, 2, 1, 4, 2, 2, 1, 4, 0, 4, 0, 0, 2, 1, 4, 4, 1, 0, 4, 0, 1, 0, 3, 3, 1, 1, 4, 0, 4, 2, 0, 3, 3, 0, 1, 0, 4, 2, 3, 1, 4, 1, 1, 3, 0, 0, 3, 4, 3, 1, 1, 0, 2, 3, 1, 1, 3, 1, 2, 4, 4, 0, 2, 2, 2, 2, 3, 2, 2, 0, 0, 3, 4, 3, 2, 3, 3, 3, 1, 1, 4, 0, 0, 3, 1, 2, 2, 3, 4, 0, 4, 4, 1, 0, 0, 0, 4, 1, 1, 4, 3, 2, 0, 2, 4, 1, 0, 4, 4, 1, 3, 0, 3, 3, 4, 1, 2, 3, 1, 4, 0, 3, 3, 2, 4, 2, 4, 3, 3, 1, 2, 3, 2, 2, 4, 4, 3, 1, 1, 2, 4, 3, 0, 4, 0, 3, 4, 4, 3, 3, 3, 0, 3, 1, 0, 4, 2, 0, 0, 4, 3, 0, 1, 0, 1, 4, 1, 4, 4, 4, 0, 2, 1, 0, 3, 4, 4, 2, 4, 1, 3, 1, 4, 2, 0, 3, 2, 4, 0, 3, 4, 0, 3, 3, 0, 0, 0, 4, 2, 3, 3, 1, 3, 0, 0, 4, 4, 3, 4, 4, 0, 3, 4, 4, 2, 4, 2, 1, 1, 1, 0, 3, 2, 3, 2, 0, 2, 2, 3, 4, 3, 2, 4, 3, 3, 3, 0, 1, 3, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 4, 3, 2, 0, 3, 0, 3, 1, 0, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 3, 0, 2, 2, 3, 2, 2, 2, 1, 2, 0, 2, 4, 0, 3, 3, 1, 4, 2, 4, 1, 0, 2, 4, 0, 1, 2, 4, 1, 3, 4, 1, 1, 2, 3, 3, 3, 0, 4, 0, 1, 1, 4, 4, 2, 2, 1, 3, 4, 3, 3, 1, 4, 3, 3, 2, 4, 4, 2, 2, 2, 4, 0, 2, 1, 0, 1, 0, 1, 4, 1, 0, 0, 2, 4, 4, 2]
pubkeycol1104 = [3, 0, 3, 1, 4, 3, 3, 0, 3, 1, 4, 1, 1, 1, 0, 4, 0, 1, 3, 0, 1, 3, 0, 2, 3, 1, 0, 1, 4, 3, 2, 4, 3, 0, 3, 2, 4, 1, 0, 3, 1, 2, 4, 1, 3, 3, 2, 4, 2, 3, 1, 4, 4, 4, 3, 4, 2, 2, 0, 0, 0, 3, 0, 4, 0, 4, 4, 3, 1, 2, 3, 1, 2, 0, 3, 0, 0, 0, 2, 1, 4, 3, 3, 0, 3, 3, 2, 1, 2, 0, 3, 0, 0, 2, 4, 2, 1, 4, 2, 3, 3, 3, 0, 2, 4, 4, 1, 1, 3, 4, 3, 4, 0, 2, 4, 4, 1, 2, 1, 2, 2, 3, 1, 1, 4, 1, 3, 3, 0, 0, 4, 3, 2, 2, 4, 3, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 4, 1, 3, 1, 4, 0, 1, 2, 4, 3, 0, 2, 3, 4, 4, 4, 1, 2, 1, 4, 0, 0, 2, 4, 4, 2, 2, 0, 4, 3, 2, 2, 3, 2, 0, 3, 0, 1, 1, 3, 1, 3, 4, 1, 1, 0, 2, 0, 0, 2, 2, 3, 4, 2, 2, 2, 2, 2, 1, 4, 2, 1, 4, 2, 4, 1, 0, 1, 0, 1, 4, 2, 1, 0, 2, 0, 4, 3, 1, 1, 4, 2, 3, 0, 2, 3, 0, 1, 1, 2, 1, 1, 2, 2, 2, 4, 3, 0, 0, 3, 0, 1, 0, 3, 4, 3, 2, 4, 4, 4, 4, 3, 1, 3, 2, 0, 3, 0, 2, 1, 4, 2, 1, 2, 0, 1, 0, 2, 4, 3, 0, 4, 2, 1, 1, 1, 2, 4, 4, 2, 0, 4, 2, 4, 3, 1, 1, 1, 0, 1, 2, 0, 1, 3, 4, 2, 1, 1, 2, 2, 1, 4, 3, 3, 4, 4, 3, 3, 0, 4, 0, 4, 1, 1, 3, 1, 3, 0, 1, 4, 2, 2, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 3, 2, 3, 3, 1, 4, 3, 1, 3, 2, 1, 0, 2, 4, 1, 2, 3, 0, 0, 4, 4, 0, 3, 0, 2, 1, 3, 2, 4, 0, 2, 1, 2, 3, 4, 2, 1, 2, 2, 4, 2, 3, 4, 0, 4, 0, 3, 4, 2, 1, 0, 1, 0, 3, 2, 4, 2, 0, 2, 0, 3, 2]
pubkeycol1105 = [4, 0, 2, 4, 1, 0, 1, 3, 4, 0, 4, 3, 3, 3, 0, 1, 1, 2, 2, 4, 1, 0, 0, 1, 0, 2, 2, 1, 4, 2, 0, 3, 3, 1, 1, 0, 4, 0, 0, 4, 2, 0, 0, 4, 3, 1, 4, 4, 4, 2, 2, 2, 0, 2, 1, 2, 0, 4, 4, 1, 4, 3, 2, 4, 3, 4, 4, 0, 0, 1, 0, 4, 4, 0, 3, 0, 2, 1, 4, 2, 0, 3, 0, 3, 1, 2, 1, 3, 2, 1, 4, 2, 1, 1, 0, 2, 0, 4, 1, 3, 0, 1, 3, 2, 4, 2, 2, 2, 0, 3, 2, 3, 1, 3, 3, 2, 0, 1, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 4, 3, 4, 1, 1, 1, 3, 3, 1, 3, 0, 1, 1, 3, 2, 0, 0, 0, 2, 3, 0, 3, 0, 0, 1, 3, 3, 0, 3, 0, 0, 3, 3, 0, 4, 4, 0, 0, 1, 1, 1, 4, 2, 1, 2, 2, 4, 1, 0, 3, 1, 2, 4, 1, 0, 0, 4, 1, 2, 3, 2, 4, 2, 4, 1, 2, 1, 4, 2, 4, 0, 4, 1, 0, 2, 4, 0, 4, 1, 4, 1, 3, 3, 0, 1, 1, 3, 1, 3, 2, 0, 3, 2, 4, 1, 3, 2, 3, 0, 2, 3, 0, 4, 4, 4, 4, 2, 3, 2, 0, 1, 0, 3, 3, 2, 2, 2, 0, 3, 1, 1, 4, 2, 0, 1, 2, 3, 4, 3, 1, 0, 4, 2, 0, 3, 0, 3, 0, 2, 3, 3, 3, 1, 1, 3, 3, 1, 3, 0, 3, 1, 2, 1, 3, 3, 0, 0, 3, 1, 3, 1, 2, 1, 1, 3, 2, 1, 4, 0, 0, 1, 1, 3, 1, 2, 3, 3, 0, 0, 1, 0, 0, 3, 1, 4, 3, 2, 4, 3, 0, 1, 2, 3, 0, 3, 0, 0, 1, 0, 0, 2, 1, 3, 3, 1, 3, 1, 0, 2, 4, 3, 2, 0, 4, 3, 2, 0, 1, 1, 0, 3, 2, 3, 4, 3, 0, 3, 3, 0, 0, 1, 4, 4, 2, 1, 3, 3, 1, 4, 3, 0, 0, 2, 0, 2, 3, 1, 4, 3, 3, 4, 0, 3, 1, 3, 3, 0, 0, 4, 1, 4, 2, 4, 0, 3, 4, 4, 2, 4, 3, 1, 1]
pubkeycol1106 = [4, 3, 2, 4, 4, 2, 0, 0, 4, 0, 3, 4, 1, 4, 3, 1, 4, 3, 4, 4, 4, 2, 2, 0, 2, 1, 0, 4, 0, 4, 4, 4, 0, 0, 0, 1, 2, 3, 4, 2, 1, 0, 3, 1, 3, 2, 2, 4, 1, 2, 4, 3, 1, 4, 4, 1, 3, 1, 4, 4, 0, 4, 0, 0, 2, 2, 1, 1, 1, 1, 3, 1, 0, 2, 3, 2, 2, 1, 0, 1, 4, 3, 0, 4, 4, 3, 2, 1, 0, 4, 3, 4, 0, 0, 0, 4, 0, 0, 3, 2, 4, 4, 0, 4, 1, 4, 0, 4, 4, 2, 2, 0, 0, 3, 4, 3, 1, 4, 3, 4, 3, 1, 2, 2, 2, 2, 3, 2, 4, 4, 2, 2, 2, 2, 1, 4, 4, 2, 2, 4, 1, 4, 2, 3, 4, 3, 0, 1, 2, 2, 1, 1, 3, 3, 3, 4, 4, 1, 1, 3, 1, 3, 0, 0, 2, 3, 2, 3, 4, 1, 4, 1, 1, 0, 1, 4, 3, 0, 2, 4, 0, 3, 3, 2, 1, 1, 2, 1, 3, 2, 3, 1, 1, 3, 2, 1, 0, 0, 4, 4, 3, 0, 4, 0, 1, 0, 2, 2, 4, 3, 3, 0, 4, 1, 0, 3, 4, 1, 1, 2, 1, 4, 1, 1, 0, 1, 2, 1, 1, 2, 2, 4, 3, 3, 2, 3, 0, 3, 3, 2, 2, 1, 0, 4, 2, 4, 0, 0, 0, 4, 4, 2, 4, 1, 3, 0, 2, 2, 3, 1, 2, 1, 2, 1, 2, 0, 2, 4, 3, 1, 3, 3, 2, 0, 2, 1, 3, 0, 1, 1, 4, 1, 3, 1, 2, 3, 1, 1, 1, 3, 1, 2, 2, 0, 3, 0, 1, 2, 4, 3, 3, 3, 1, 0, 3, 2, 1, 2, 2, 0, 4, 3, 0, 1, 4, 1, 1, 2, 0, 1, 4, 4, 0, 2, 4, 1, 4, 0, 4, 2, 4, 0, 4, 0, 2, 2, 2, 3, 1, 3, 4, 3, 1, 3, 1, 4, 1, 4, 4, 2, 4, 4, 3, 1, 0, 1, 0, 0, 0, 1, 3, 4, 1, 3, 3, 1, 3, 4, 3, 0, 2, 3, 1, 0, 3, 1, 4, 0, 4, 1, 0, 1, 4, 4, 2, 3, 2, 1, 4, 2, 1, 1, 1, 3, 3, 4, 0, 4, 3, 1]
pubkeycol1107 = [3, 1, 4, 4, 3, 4, 0, 3, 3, 2, 4, 3, 2, 2, 2, 2, 0, 1, 2, 0, 4, 0, 2, 1, 3, 4, 4, 4, 4, 2, 4, 4, 3, 0, 3, 0, 4, 3, 4, 3, 2, 1, 2, 0, 4, 1, 4, 2, 1, 2, 0, 4, 0, 1, 0, 0, 2, 2, 1, 4, 3, 4, 2, 3, 3, 4, 2, 1, 1, 2, 3, 0, 2, 1, 2, 1, 1, 1, 0, 0, 4, 0, 1, 2, 0, 2, 3, 1, 0, 0, 0, 4, 2, 2, 3, 0, 4, 4, 2, 2, 4, 2, 1, 3, 1, 2, 4, 3, 1, 4, 2, 4, 0, 1, 3, 1, 0, 2, 4, 0, 1, 2, 1, 4, 2, 1, 0, 2, 3, 4, 3, 1, 0, 4, 0, 1, 2, 1, 1, 3, 0, 4, 3, 0, 1, 0, 4, 1, 2, 1, 4, 1, 3, 0, 4, 3, 2, 4, 1, 3, 0, 0, 2, 4, 1, 4, 0, 1, 0, 3, 1, 3, 1, 1, 2, 0, 1, 0, 4, 3, 4, 0, 0, 3, 0, 2, 2, 4, 4, 4, 2, 1, 0, 0, 3, 0, 2, 4, 0, 1, 2, 3, 1, 1, 2, 3, 4, 3, 3, 2, 2, 0, 1, 3, 2, 2, 2, 1, 4, 3, 3, 1, 3, 2, 2, 0, 2, 4, 0, 0, 1, 2, 3, 3, 3, 4, 4, 2, 0, 1, 3, 0, 2, 0, 0, 2, 0, 2, 0, 4, 3, 3, 3, 4, 2, 2, 3, 2, 4, 1, 4, 0, 1, 4, 0, 1, 4, 1, 4, 2, 4, 3, 2, 0, 1, 1, 0, 3, 4, 2, 2, 1, 0, 0, 4, 0, 1, 4, 4, 3, 0, 3, 1, 2, 0, 1, 0, 2, 0, 2, 2, 4, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 4, 3, 4, 2, 0, 0, 2, 1, 2, 2, 0, 3, 0, 3, 3, 0, 4, 1, 1, 4, 1, 3, 1, 1, 0, 4, 4, 2, 4, 4, 4, 4, 0, 2, 0, 3, 3, 3, 1, 0, 1, 1, 4, 2, 0, 1, 4, 3, 3, 4, 4, 1, 4, 4, 1, 4, 2, 3, 4, 4, 4, 3, 4, 1, 1, 1, 1, 1, 1, 0, 4, 1, 0, 0, 2, 0, 4, 4, 3, 2, 2, 3, 0, 2, 3, 1]
pubkeycol1108 = [3, 2, 1, 4, 2, 4, 0, 4, 3, 0, 4, 4, 4, 3, 1, 0, 1, 1, 4, 2, 3, 3, 0, 0, 1, 3, 3, 3, 2, 4, 1, 0, 4, 2, 1, 0, 3, 0, 2, 4, 2, 1, 2, 4, 0, 1, 1, 1, 1, 2, 1, 4, 2, 3, 3, 1, 2, 2, 1, 2, 1, 1, 4, 1, 4, 3, 1, 3, 2, 1, 3, 0, 2, 2, 2, 3, 3, 0, 0, 4, 2, 0, 3, 4, 4, 3, 1, 4, 4, 3, 2, 4, 2, 3, 2, 0, 2, 4, 0, 0, 0, 4, 0, 4, 4, 1, 3, 2, 1, 4, 1, 2, 4, 0, 2, 0, 1, 1, 1, 4, 0, 4, 0, 0, 1, 0, 3, 0, 3, 4, 1, 0, 3, 0, 1, 4, 4, 3, 2, 4, 4, 1, 4, 1, 2, 3, 2, 0, 4, 1, 4, 2, 1, 4, 4, 3, 1, 1, 0, 4, 0, 0, 1, 4, 0, 0, 4, 2, 3, 2, 3, 0, 0, 1, 2, 3, 3, 2, 2, 2, 0, 3, 3, 3, 3, 3, 4, 4, 1, 3, 0, 3, 4, 0, 2, 3, 4, 1, 4, 4, 0, 3, 2, 1, 0, 1, 1, 0, 4, 4, 1, 4, 4, 1, 3, 4, 1, 0, 2, 4, 3, 2, 0, 0, 1, 3, 1, 4, 2, 1, 3, 4, 3, 2, 4, 2, 4, 3, 3, 0, 1, 2, 3, 2, 3, 1, 1, 1, 1, 2, 4, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 4, 1, 2, 2, 1, 4, 1, 4, 0, 2, 1, 3, 3, 2, 2, 0, 4, 2, 4, 1, 0, 4, 3, 3, 3, 0, 2, 4, 3, 3, 0, 3, 3, 4, 4, 2, 4, 3, 1, 0, 1, 4, 1, 1, 4, 1, 1, 3, 0, 0, 4, 3, 4, 0, 1, 4, 2, 0, 1, 0, 3, 3, 0, 3, 2, 4, 1, 1, 4, 3, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 4, 4, 1, 3, 3, 3, 3, 2, 1, 4, 1, 3, 4, 3, 1, 2, 4, 1, 4, 0, 0, 0, 2, 3, 0, 4, 1, 3, 0, 3, 0, 4, 0, 2, 1, 1, 4, 2, 0, 1, 1, 3, 4, 1, 0, 4, 2, 1, 4, 4, 1, 2, 2, 1, 0, 3, 4]
pubkeycol1109 = [4, 4, 1, 0, 4, 2, 1, 4, 0, 0, 4, 3, 1, 0, 2, 0, 4, 0, 2, 2, 0, 1, 2, 3, 4, 2, 4, 2, 4, 0, 4, 2, 3, 0, 1, 2, 3, 1, 3, 3, 0, 1, 3, 4, 3, 1, 1, 1, 0, 0, 4, 3, 0, 3, 2, 0, 1, 4, 3, 3, 1, 4, 4, 2, 0, 0, 1, 0, 1, 4, 0, 0, 4, 1, 3, 4, 4, 4, 4, 1, 4, 2, 4, 2, 2, 3, 3, 3, 1, 0, 0, 1, 4, 4, 0, 3, 1, 4, 1, 2, 0, 4, 3, 2, 0, 0, 4, 0, 3, 2, 3, 4, 2, 0, 0, 4, 1, 3, 4, 4, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 4, 3, 0, 0, 2, 3, 4, 4, 1, 1, 3, 4, 1, 0, 1, 0, 4, 3, 1, 1, 2, 0, 2, 2, 1, 3, 0, 2, 1, 0, 3, 1, 0, 3, 4, 3, 1, 0, 2, 1, 3, 0, 1, 4, 1, 4, 4, 0, 0, 2, 2, 0, 0, 2, 0, 2, 3, 2, 4, 3, 2, 0, 1, 2, 1, 2, 1, 2, 2, 3, 2, 0, 3, 4, 2, 4, 1, 0, 4, 2, 0, 0, 2, 3, 4, 2, 1, 2, 2, 3, 0, 0, 0, 0, 4, 0, 4, 4, 1, 4, 2, 4, 2, 3, 0, 1, 4, 1, 2, 3, 1, 2, 2, 4, 4, 0, 0, 0, 1, 4, 4, 2, 1, 4, 0, 1, 1, 4, 4, 3, 2, 1, 2, 1, 4, 1, 1, 3, 1, 4, 4, 2, 1, 4, 2, 3, 4, 3, 4, 4, 1, 2, 1, 4, 0, 2, 2, 3, 0, 0, 4, 1, 1, 0, 3, 1, 3, 3, 0, 0, 1, 1, 3, 1, 2, 4, 3, 3, 0, 0, 2, 4, 0, 0, 0, 2, 3, 2, 4, 1, 4, 2, 3, 0, 2, 4, 0, 3, 3, 2, 0, 3, 0, 3, 1, 1, 0, 4, 4, 1, 4, 0, 1, 2, 3, 0, 3, 3, 2, 0, 2, 2, 0, 0, 3, 0, 1, 1, 0, 2, 1, 4, 1, 4, 0, 2, 2, 0, 4, 0, 1, 2, 2, 0, 0, 4, 2, 0, 3, 2, 2, 1, 0, 1, 0, 3, 0, 0, 4, 3, 3, 3, 3, 1, 3, 1, 2, 3, 0, 0]
pubkeycol1110 = [4, 4, 2, 4, 4, 0, 3, 1, 3, 3, 2, 1, 1, 1, 4, 1, 4, 4, 4, 4, 4, 2, 4, 3, 2, 0, 0, 3, 0, 2, 0, 3, 1, 4, 3, 0, 4, 0, 4, 2, 4, 0, 0, 4, 0, 2, 4, 1, 3, 3, 1, 3, 2, 2, 3, 0, 3, 0, 3, 3, 0, 3, 1, 0, 2, 0, 1, 0, 2, 0, 3, 0, 3, 1, 2, 0, 2, 0, 0, 2, 1, 3, 1, 4, 4, 0, 2, 3, 4, 3, 4, 2, 0, 0, 2, 3, 2, 4, 1, 0, 0, 1, 1, 3, 3, 4, 3, 4, 0, 0, 1, 3, 2, 3, 4, 3, 2, 1, 0, 1, 3, 2, 4, 4, 2, 4, 2, 1, 1, 0, 4, 2, 1, 3, 2, 2, 0, 4, 2, 3, 1, 0, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 1, 4, 3, 4, 3, 4, 4, 4, 2, 2, 2, 2, 4, 4, 4, 1, 4, 0, 0, 3, 1, 0, 1, 3, 2, 1, 2, 4, 2, 3, 0, 2, 4, 4, 3, 2, 1, 0, 3, 1, 1, 1, 1, 2, 0, 4, 3, 2, 2, 3, 2, 1, 1, 1, 2, 0, 1, 4, 1, 1, 4, 2, 0, 2, 4, 1, 3, 4, 0, 2, 4, 4, 4, 0, 4, 3, 1, 2, 2, 2, 0, 0, 3, 4, 4, 2, 1, 2, 1, 2, 4, 3, 2, 1, 2, 3, 4, 3, 3, 3, 4, 1, 0, 1, 4, 3, 2, 1, 1, 1, 2, 2, 1, 4, 2, 4, 3, 3, 4, 4, 3, 3, 3, 4, 1, 3, 1, 0, 3, 3, 3, 2, 2, 3, 4, 4, 2, 2, 1, 4, 0, 4, 4, 1, 1, 2, 1, 3, 1, 3, 0, 4, 0, 3, 3, 1, 2, 1, 3, 4, 2, 3, 2, 0, 0, 0, 2, 1, 3, 0, 1, 1, 0, 0, 2, 4, 4, 2, 4, 0, 2, 2, 3, 3, 1, 0, 4, 3, 4, 3, 1, 3, 1, 3, 2, 0, 0, 4, 1, 1, 4, 3, 2, 3, 0, 2, 4, 0, 4, 0, 1, 0, 2, 2, 0, 0, 0, 4, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 4, 0, 0, 2, 1, 2, 0, 0, 1, 1, 4, 2, 3, 4, 2, 4, 0, 3, 3]
pubkeycol1111 = [2, 2, 4, 0, 1, 0, 0, 1, 0, 1, 3, 1, 4, 3, 2, 2, 1, 0, 2, 2, 0, 1, 4, 0, 4, 2, 0, 1, 2, 2, 1, 1, 4, 1, 3, 4, 4, 2, 3, 0, 1, 0, 2, 2, 4, 0, 2, 3, 1, 0, 0, 1, 3, 4, 2, 1, 1, 3, 2, 3, 4, 1, 1, 3, 0, 0, 3, 2, 0, 4, 1, 1, 1, 3, 4, 4, 2, 0, 0, 1, 0, 4, 2, 4, 4, 1, 3, 3, 1, 3, 1, 4, 4, 4, 3, 4, 4, 2, 0, 2, 2, 2, 1, 2, 3, 1, 4, 2, 4, 4, 1, 4, 1, 3, 0, 0, 4, 1, 0, 2, 1, 0, 3, 3, 4, 2, 2, 1, 1, 4, 3, 3, 3, 0, 3, 1, 1, 1, 0, 2, 1, 3, 0, 1, 0, 0, 0, 0, 1, 3, 3, 0, 4, 4, 1, 0, 4, 3, 4, 1, 2, 2, 4, 0, 1, 1, 4, 4, 2, 4, 3, 1, 2, 1, 3, 3, 0, 1, 0, 3, 3, 1, 4, 1, 1, 0, 4, 3, 4, 4, 4, 1, 4, 3, 2, 3, 0, 2, 3, 1, 0, 1, 2, 4, 3, 3, 3, 0, 3, 0, 4, 3, 2, 3, 1, 0, 4, 4, 1, 1, 0, 0, 4, 4, 0, 0, 3, 3, 3, 4, 3, 1, 3, 2, 3, 2, 0, 3, 1, 1, 2, 2, 0, 3, 4, 2, 0, 2, 4, 3, 1, 4, 3, 1, 1, 3, 4, 1, 1, 1, 2, 3, 4, 1, 0, 3, 4, 1, 3, 3, 0, 2, 2, 3, 4, 1, 1, 0, 2, 3, 4, 2, 1, 4, 2, 2, 0, 0, 1, 3, 2, 3, 2, 2, 2, 1, 4, 0, 2, 0, 1, 1, 4, 0, 2, 1, 4, 0, 4, 1, 4, 4, 1, 3, 3, 0, 0, 0, 4, 3, 2, 3, 2, 2, 1, 4, 0, 1, 1, 3, 4, 2, 2, 4, 2, 3, 3, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 3, 4, 3, 4, 0, 3, 4, 3, 1, 3, 1, 3, 2, 1, 4, 2, 2, 0, 2, 2, 2, 3, 0, 4, 2, 4, 2, 1, 1, 2, 3, 4, 3, 3, 2, 0, 0, 0, 4, 2, 2, 3, 4, 4, 4, 0, 2, 4, 1]
pubkeycol1112 = [3, 2, 3, 1, 4, 1, 4, 1, 0, 4, 1, 2, 0, 3, 4, 0, 1, 1, 3, 2, 1, 4, 1, 2, 1, 4, 0, 0, 0, 0, 3, 0, 0, 4, 0, 1, 0, 3, 1, 2, 4, 2, 4, 1, 0, 2, 4, 3, 4, 2, 2, 4, 0, 4, 3, 3, 1, 2, 2, 0, 4, 0, 0, 1, 4, 1, 2, 4, 3, 1, 1, 0, 0, 3, 1, 2, 2, 4, 0, 2, 2, 1, 3, 4, 0, 1, 3, 3, 2, 4, 4, 0, 3, 2, 0, 4, 4, 1, 2, 4, 2, 4, 3, 1, 4, 3, 1, 3, 1, 0, 3, 3, 2, 4, 0, 3, 2, 0, 2, 2, 2, 0, 1, 4, 4, 3, 1, 4, 0, 1, 0, 1, 3, 2, 4, 0, 2, 1, 3, 0, 2, 4, 2, 3, 3, 2, 4, 4, 1, 0, 0, 4, 0, 2, 3, 4, 4, 3, 3, 1, 2, 4, 0, 2, 4, 2, 0, 3, 0, 2, 2, 1, 2, 1, 0, 0, 2, 4, 0, 3, 4, 4, 2, 0, 4, 1, 3, 2, 4, 0, 2, 0, 4, 0, 3, 1, 0, 0, 3, 1, 1, 4, 0, 1, 2, 4, 4, 0, 3, 2, 2, 4, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 4, 1, 3, 3, 3, 1, 0, 2, 0, 1, 4, 3, 1, 4, 2, 4, 4, 3, 4, 4, 4, 2, 2, 2, 1, 1, 2, 4, 1, 1, 2, 2, 4, 4, 3, 3, 0, 2, 1, 4, 4, 2, 1, 3, 4, 0, 4, 4, 3, 4, 4, 3, 0, 1, 0, 2, 0, 3, 0, 2, 2, 3, 3, 4, 0, 4, 2, 3, 2, 3, 3, 1, 1, 0, 4, 0, 1, 0, 3, 4, 1, 1, 3, 1, 4, 3, 2, 1, 1, 2, 1, 3, 4, 3, 0, 3, 2, 0, 1, 1, 4, 2, 1, 3, 4, 1, 1, 0, 3, 3, 4, 2, 0, 4, 0, 2, 4, 2, 3, 4, 4, 4, 2, 1, 0, 2, 4, 2, 2, 2, 2, 2, 4, 0, 1, 2, 4, 0, 0, 3, 1, 3, 0, 2, 3, 2, 3, 1, 4, 1, 3, 1, 2, 4, 3, 2, 2, 3, 2, 1, 3, 3, 3, 4, 4, 1, 1, 0, 4, 2, 2, 0, 2, 4, 0, 4, 0, 2]
pubkeycol1113 = [4, 1, 0, 0, 0, 3, 3, 3, 3, 2, 3, 1, 4, 0, 4, 0, 3, 0, 1, 1, 4, 1, 4, 1, 2, 1, 1, 1, 1, 1, 3, 4, 4, 1, 0, 2, 1, 1, 3, 3, 1, 1, 1, 3, 1, 4, 2, 4, 1, 3, 3, 2, 1, 4, 4, 0, 3, 1, 1, 4, 1, 2, 4, 3, 1, 1, 3, 4, 0, 2, 3, 1, 2, 1, 0, 4, 1, 3, 1, 4, 2, 3, 4, 3, 3, 0, 2, 0, 2, 4, 1, 2, 1, 1, 1, 0, 2, 3, 2, 2, 4, 3, 2, 0, 4, 2, 0, 3, 0, 3, 4, 1, 1, 4, 0, 0, 2, 2, 1, 3, 1, 2, 2, 3, 0, 4, 2, 4, 1, 4, 3, 1, 4, 2, 1, 1, 2, 1, 3, 1, 1, 0, 4, 4, 3, 2, 3, 2, 1, 0, 3, 0, 3, 3, 2, 1, 0, 3, 2, 0, 4, 4, 3, 4, 1, 2, 0, 1, 4, 3, 2, 0, 1, 0, 3, 3, 3, 1, 2, 1, 0, 1, 4, 4, 1, 2, 1, 2, 2, 3, 3, 2, 2, 4, 3, 0, 1, 4, 0, 4, 1, 3, 4, 4, 0, 1, 3, 2, 3, 2, 1, 4, 0, 1, 1, 1, 0, 3, 3, 2, 2, 4, 0, 3, 4, 4, 3, 4, 3, 1, 0, 3, 1, 3, 1, 1, 1, 4, 0, 0, 4, 4, 1, 1, 1, 1, 0, 3, 2, 1, 0, 1, 2, 1, 2, 2, 0, 4, 4, 0, 2, 0, 3, 2, 2, 3, 0, 2, 3, 2, 0, 2, 3, 0, 0, 0, 1, 4, 1, 4, 0, 2, 1, 1, 2, 2, 1, 4, 1, 0, 3, 1, 1, 4, 3, 0, 1, 3, 4, 0, 4, 3, 3, 4, 1, 1, 0, 0, 4, 2, 1, 1, 2, 3, 2, 3, 4, 2, 1, 1, 4, 3, 1, 4, 0, 0, 4, 3, 3, 3, 0, 0, 3, 4, 4, 4, 2, 4, 0, 1, 2, 2, 1, 0, 2, 1, 1, 4, 3, 3, 4, 0, 4, 3, 4, 4, 0, 2, 0, 4, 2, 3, 0, 1, 2, 1, 3, 1, 3, 1, 2, 0, 2, 0, 2, 2, 3, 4, 4, 2, 0, 1, 4, 4, 4, 1, 3, 2, 2, 1, 1, 3, 4, 3, 4, 2, 1, 1, 4, 3]
pubkeycol1114 = [0, 1, 4, 0, 2, 2, 0, 4, 3, 1, 4, 3, 2, 2, 2, 1, 3, 4, 3, 4, 2, 2, 2, 2, 1, 2, 0, 1, 2, 3, 3, 2, 1, 4, 4, 2, 1, 3, 1, 3, 0, 4, 3, 2, 0, 4, 1, 4, 3, 4, 3, 3, 1, 2, 0, 3, 4, 1, 1, 1, 0, 2, 3, 3, 4, 1, 1, 3, 4, 0, 1, 0, 0, 3, 0, 0, 3, 4, 1, 4, 0, 1, 0, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 1, 3, 0, 3, 3, 2, 1, 0, 2, 2, 0, 3, 0, 3, 3, 4, 1, 3, 3, 2, 1, 2, 2, 1, 0, 0, 3, 4, 0, 4, 4, 3, 2, 0, 3, 0, 0, 0, 2, 1, 0, 4, 4, 3, 3, 2, 4, 1, 0, 2, 0, 0, 4, 2, 4, 1, 4, 1, 3, 4, 4, 4, 4, 1, 3, 4, 2, 4, 4, 2, 2, 0, 2, 3, 0, 1, 1, 1, 1, 1, 3, 0, 2, 1, 0, 1, 4, 4, 4, 1, 1, 1, 1, 4, 3, 3, 2, 3, 0, 1, 2, 3, 3, 4, 2, 2, 2, 4, 4, 4, 2, 3, 3, 3, 3, 0, 1, 2, 1, 4, 3, 3, 4, 4, 4, 4, 2, 1, 4, 4, 1, 2, 2, 0, 1, 4, 4, 1, 4, 1, 3, 3, 4, 1, 4, 4, 1, 0, 1, 0, 0, 2, 3, 0, 1, 0, 1, 4, 2, 4, 0, 1, 1, 3, 0, 0, 2, 4, 4, 0, 1, 2, 2, 3, 1, 3, 2, 3, 0, 0, 2, 4, 3, 1, 3, 0, 0, 0, 4, 1, 1, 1, 3, 3, 0, 2, 4, 1, 4, 2, 0, 0, 4, 4, 4, 2, 3, 0, 0, 1, 3, 1, 0, 4, 2, 4, 1, 4, 4, 3, 2, 1, 2, 3, 0, 4, 1, 1, 1, 2, 3, 1, 2, 4, 2, 3, 4, 0, 0, 0, 0, 2, 3, 4, 2, 2, 1, 1, 1, 3, 4, 2, 3, 4, 1, 1, 4, 4, 0, 3, 3, 0, 1, 0, 3, 3, 0, 0, 2, 1, 0, 3, 1, 3, 3, 2, 0, 1, 3, 4, 2, 4, 0, 4, 0, 4, 3, 3, 1, 1, 0, 1, 1, 3, 4, 2, 1, 1, 1, 4, 4, 3, 0, 1, 4, 2, 2]
pubkeycol1115 = [2, 3, 1, 1, 0, 0, 3, 1, 1, 1, 4, 3, 3, 2, 0, 2, 3, 3, 1, 2, 0, 3, 0, 1, 2, 2, 0, 2, 1, 3, 2, 1, 1, 2, 3, 4, 4, 1, 0, 3, 2, 3, 1, 4, 0, 4, 1, 0, 4, 0, 4, 1, 1, 3, 1, 1, 4, 1, 0, 3, 1, 0, 2, 0, 3, 2, 2, 3, 1, 0, 0, 4, 0, 3, 0, 2, 1, 2, 1, 1, 3, 0, 1, 4, 1, 1, 2, 1, 1, 1, 2, 0, 3, 1, 2, 0, 4, 0, 1, 0, 3, 4, 3, 1, 4, 4, 2, 2, 2, 2, 1, 3, 0, 4, 4, 1, 3, 0, 2, 4, 3, 3, 3, 3, 1, 2, 4, 2, 4, 4, 3, 1, 1, 2, 2, 3, 4, 3, 0, 1, 4, 2, 1, 0, 4, 2, 0, 1, 2, 0, 4, 2, 4, 3, 0, 4, 3, 1, 4, 3, 3, 0, 2, 4, 1, 3, 1, 2, 1, 2, 4, 3, 3, 3, 4, 0, 2, 1, 0, 2, 1, 4, 1, 3, 4, 0, 3, 0, 0, 2, 3, 0, 3, 4, 0, 4, 1, 3, 0, 0, 0, 4, 0, 1, 4, 0, 4, 0, 0, 0, 4, 1, 4, 2, 1, 4, 1, 3, 2, 3, 1, 2, 1, 1, 4, 4, 3, 1, 3, 3, 3, 2, 3, 0, 4, 2, 0, 2, 3, 3, 4, 3, 3, 3, 4, 0, 4, 1, 0, 2, 1, 0, 1, 0, 4, 2, 2, 4, 3, 1, 3, 3, 1, 2, 1, 0, 2, 3, 2, 0, 2, 2, 1, 3, 1, 0, 1, 4, 4, 2, 1, 2, 1, 2, 0, 3, 4, 0, 0, 4, 2, 2, 2, 4, 4, 3, 4, 2, 4, 2, 1, 3, 3, 4, 2, 0, 4, 4, 4, 4, 4, 4, 4, 3, 1, 0, 4, 2, 2, 4, 2, 4, 1, 0, 4, 1, 1, 0, 3, 4, 2, 3, 4, 3, 1, 3, 3, 0, 1, 4, 2, 2, 4, 1, 3, 2, 3, 3, 3, 2, 3, 3, 4, 1, 3, 0, 2, 4, 1, 0, 0, 1, 0, 4, 1, 0, 1, 0, 2, 3, 4, 2, 1, 2, 1, 2, 0, 2, 4, 1, 0, 1, 4, 4, 0, 4, 3, 0, 2, 3, 3, 2, 3, 3, 3, 4, 0, 1, 2, 3]
pubkeycol1116 = [0, 1, 2, 0, 3, 1, 0, 2, 4, 3, 0, 1, 1, 2, 3, 0, 1, 0, 3, 1, 2, 0, 1, 1, 3, 0, 1, 2, 1, 4, 1, 1, 4, 3, 3, 3, 4, 3, 1, 2, 4, 2, 1, 1, 4, 1, 2, 1, 4, 1, 0, 0, 2, 0, 3, 0, 3, 2, 4, 0, 4, 4, 4, 4, 2, 0, 4, 0, 4, 0, 2, 4, 1, 2, 3, 4, 0, 4, 0, 1, 0, 4, 2, 2, 2, 4, 0, 0, 3, 2, 1, 3, 1, 4, 1, 4, 1, 0, 2, 2, 4, 0, 1, 4, 2, 4, 0, 2, 2, 1, 0, 1, 0, 4, 4, 0, 0, 1, 1, 2, 3, 4, 4, 3, 3, 2, 2, 2, 2, 4, 0, 0, 2, 2, 0, 2, 2, 1, 4, 3, 0, 4, 1, 1, 4, 1, 4, 0, 4, 4, 2, 1, 2, 1, 2, 3, 1, 2, 0, 3, 4, 3, 0, 1, 0, 2, 1, 3, 1, 0, 1, 3, 4, 0, 3, 0, 0, 0, 4, 0, 0, 2, 0, 3, 4, 1, 1, 2, 4, 1, 1, 2, 0, 2, 1, 3, 0, 2, 0, 1, 0, 4, 1, 2, 4, 4, 1, 0, 0, 3, 1, 4, 2, 1, 1, 4, 3, 0, 4, 4, 0, 2, 1, 0, 0, 2, 4, 3, 3, 0, 0, 1, 4, 2, 0, 1, 3, 4, 2, 1, 4, 1, 0, 2, 4, 0, 2, 1, 3, 4, 4, 2, 4, 1, 4, 3, 4, 1, 4, 4, 3, 4, 3, 1, 0, 3, 2, 4, 2, 2, 4, 2, 4, 4, 4, 1, 1, 3, 0, 3, 1, 4, 2, 2, 0, 3, 4, 3, 3, 4, 2, 3, 1, 1, 1, 0, 2, 0, 3, 3, 2, 3, 4, 4, 4, 3, 3, 0, 1, 2, 0, 2, 3, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 4, 2, 3, 2, 3, 3, 0, 2, 4, 0, 3, 2, 3, 1, 0, 1, 4, 0, 3, 3, 4, 2, 0, 3, 0, 2, 0, 4, 4, 3, 4, 4, 4, 2, 4, 4, 2, 0, 4, 0, 1, 1, 0, 1, 2, 0, 1, 0, 3, 3, 3, 1, 0, 0, 0, 0, 2, 2, 0, 3, 1, 1, 1, 2, 4, 3, 4, 3, 0, 2, 2, 2, 2, 3]
pubkeycol1117 = [0, 1, 0, 4, 0, 2, 1, 3, 3, 2, 2, 4, 1, 2, 0, 1, 4, 3, 2, 1, 1, 2, 2, 2, 2, 0, 4, 2, 3, 1, 1, 0, 1, 4, 3, 0, 3, 0, 2, 0, 1, 0, 2, 1, 1, 3, 4, 0, 3, 3, 1, 1, 0, 3, 4, 3, 3, 2, 2, 0, 1, 3, 1, 4, 0, 3, 1, 3, 4, 2, 4, 0, 2, 0, 2, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 4, 1, 3, 2, 2, 0, 1, 1, 1, 4, 2, 2, 4, 4, 3, 2, 4, 0, 3, 0, 3, 4, 3, 4, 1, 2, 0, 0, 1, 0, 3, 4, 0, 4, 3, 4, 3, 2, 3, 2, 3, 4, 1, 1, 1, 3, 1, 3, 1, 1, 0, 4, 1, 0, 0, 3, 0, 0, 0, 3, 2, 0, 0, 1, 3, 4, 3, 0, 0, 3, 1, 1, 4, 4, 2, 2, 1, 4, 1, 1, 0, 1, 0, 1, 0, 3, 0, 0, 2, 4, 4, 1, 0, 2, 0, 3, 4, 4, 1, 4, 0, 0, 0, 2, 1, 0, 4, 1, 0, 3, 1, 1, 1, 2, 2, 0, 3, 2, 0, 2, 0, 0, 4, 4, 3, 3, 1, 4, 0, 2, 1, 4, 3, 1, 2, 1, 1, 4, 4, 1, 1, 1, 3, 3, 0, 1, 0, 4, 2, 1, 1, 3, 0, 2, 1, 4, 4, 2, 1, 4, 4, 3, 1, 2, 1, 2, 3, 0, 0, 0, 4, 3, 0, 1, 3, 3, 1, 3, 1, 4, 1, 1, 2, 2, 3, 4, 4, 4, 4, 1, 0, 4, 3, 1, 4, 0, 3, 1, 2, 3, 3, 1, 1, 4, 0, 4, 3, 1, 0, 4, 4, 4, 4, 2, 4, 2, 1, 1, 0, 2, 2, 2, 4, 3, 4, 2, 1, 1, 1, 0, 3, 2, 1, 4, 2, 3, 0, 2, 4, 2, 4, 3, 3, 2, 1, 1, 0, 4, 1, 1, 1, 3, 2, 1, 3, 4, 0, 4, 2, 4, 2, 0, 3, 4, 2, 1, 3, 4, 1, 3, 4, 3, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 3, 0, 4, 2, 3, 4, 2, 3, 4, 4, 1, 3, 3, 2, 1, 4, 2, 0, 3, 2, 0, 3, 0, 1, 1, 0, 3, 3]
pubkeycol1118 = [1, 4, 2, 1, 4, 4, 2, 1, 4, 2, 2, 1, 3, 3, 4, 2, 3, 3, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 3, 1, 2, 4, 1, 1, 1, 0, 4, 0, 2, 1, 3, 1, 0, 4, 1, 1, 1, 0, 0, 2, 0, 0, 0, 4, 2, 3, 2, 3, 1, 1, 2, 3, 4, 3, 0, 4, 0, 3, 1, 1, 0, 3, 1, 4, 0, 3, 0, 4, 1, 1, 1, 4, 2, 2, 2, 4, 1, 3, 1, 1, 3, 3, 4, 4, 2, 1, 4, 4, 4, 4, 4, 3, 0, 1, 3, 3, 0, 3, 2, 1, 3, 4, 2, 0, 2, 3, 0, 3, 3, 2, 3, 4, 1, 0, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 0, 4, 3, 1, 3, 0, 1, 4, 4, 2, 3, 2, 3, 0, 1, 1, 0, 4, 2, 1, 2, 0, 1, 3, 1, 4, 0, 3, 3, 4, 0, 2, 1, 2, 0, 2, 1, 4, 0, 4, 3, 3, 3, 2, 4, 0, 1, 3, 1, 4, 4, 4, 1, 3, 4, 4, 1, 3, 3, 4, 2, 3, 4, 2, 3, 0, 3, 0, 0, 0, 1, 3, 3, 3, 1, 4, 2, 3, 0, 1, 0, 0, 0, 3, 0, 4, 1, 0, 1, 1, 0, 2, 3, 4, 2, 3, 0, 1, 3, 1, 4, 4, 0, 1, 2, 0, 2, 0, 0, 3, 0, 3, 0, 0, 4, 0, 4, 3, 3, 3, 3, 0, 2, 3, 0, 3, 3, 3, 0, 1, 4, 3, 4, 3, 0, 0, 4, 1, 3, 3, 4, 2, 1, 4, 2, 3, 4, 4, 4, 3, 1, 3, 2, 2, 2, 4, 2, 1, 4, 2, 4, 4, 4, 1, 0, 3, 1, 0, 4, 1, 3, 2, 0, 1, 4, 4, 3, 2, 2, 3, 0, 0, 1, 3, 2, 4, 4, 0, 3, 1, 2, 0, 4, 4, 3, 0, 3, 0, 2, 3, 0, 3, 3, 1, 1, 0, 1, 1, 4, 0, 4, 3, 1, 4, 3, 1, 0, 2, 0, 1, 1, 0, 3, 2, 0, 3, 3, 1, 3, 1, 1, 3, 2, 0, 1, 0, 4, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 4, 3, 3, 4, 2, 3, 3, 1, 0, 4, 0, 3, 2, 2, 1, 3]
pubkeycol1119 = [3, 0, 4, 4, 1, 3, 4, 0, 2, 3, 0, 1, 3, 0, 3, 4, 0, 2, 0, 3, 1, 0, 1, 3, 1, 1, 2, 2, 4, 3, 3, 4, 2, 3, 1, 0, 1, 4, 3, 1, 0, 2, 3, 1, 3, 0, 2, 4, 4, 0, 1, 0, 1, 3, 2, 2, 3, 3, 4, 4, 3, 3, 4, 0, 0, 2, 0, 2, 1, 1, 4, 4, 4, 1, 0, 4, 1, 4, 3, 2, 3, 0, 4, 1, 1, 4, 1, 4, 0, 4, 1, 0, 4, 0, 4, 0, 3, 2, 3, 4, 4, 3, 2, 0, 4, 3, 2, 4, 4, 3, 2, 2, 1, 1, 1, 3, 0, 0, 4, 3, 1, 3, 0, 2, 3, 1, 1, 3, 3, 3, 2, 4, 3, 4, 4, 3, 4, 2, 3, 1, 0, 3, 4, 4, 4, 4, 4, 4, 2, 1, 4, 3, 3, 0, 4, 4, 3, 4, 3, 1, 0, 3, 1, 0, 3, 0, 0, 2, 4, 3, 0, 2, 1, 0, 2, 0, 2, 2, 3, 1, 4, 2, 1, 2, 0, 3, 2, 2, 1, 0, 3, 0, 0, 0, 4, 4, 2, 1, 4, 1, 4, 2, 3, 2, 4, 1, 3, 0, 4, 4, 4, 4, 4, 2, 3, 2, 2, 4, 3, 0, 2, 3, 2, 3, 4, 1, 0, 2, 2, 3, 3, 3, 3, 0, 0, 1, 1, 1, 3, 3, 3, 2, 4, 3, 1, 0, 2, 2, 1, 1, 0, 2, 3, 3, 0, 4, 3, 2, 2, 4, 3, 1, 2, 0, 4, 1, 3, 4, 4, 2, 0, 1, 2, 3, 1, 1, 1, 4, 3, 3, 0, 4, 2, 1, 2, 4, 3, 3, 4, 0, 2, 0, 1, 0, 4, 2, 0, 0, 0, 1, 1, 3, 0, 3, 1, 2, 1, 1, 4, 4, 0, 4, 4, 0, 4, 1, 2, 3, 3, 2, 0, 2, 2, 0, 1, 2, 4, 2, 1, 3, 0, 0, 0, 0, 3, 0, 3, 4, 2, 1, 3, 4, 2, 0, 3, 3, 2, 3, 0, 4, 2, 1, 1, 0, 3, 3, 0, 3, 2, 4, 3, 3, 0, 4, 2, 3, 2, 2, 1, 2, 1, 2, 0, 3, 2, 0, 2, 3, 2, 0, 0, 2, 2, 3, 4, 2, 1, 4, 1, 3, 4, 4, 3, 1, 2, 0, 2, 3, 0, 2]
pubkeycol1120 = [0, 1, 4, 2, 4, 3, 2, 1, 3, 1, 0, 3, 3, 3, 4, 2, 0, 4, 1, 0, 0, 4, 4, 4, 2, 1, 2, 2, 3, 4, 3, 1, 3, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 4, 1, 3, 2, 3, 1, 0, 1, 1, 2, 4, 4, 0, 3, 0, 2, 1, 0, 1, 3, 2, 1, 2, 2, 2, 0, 4, 3, 1, 4, 4, 0, 4, 4, 1, 0, 3, 1, 1, 1, 2, 3, 4, 3, 1, 0, 3, 0, 2, 0, 2, 1, 4, 1, 1, 3, 3, 0, 3, 2, 3, 0, 4, 1, 1, 0, 2, 4, 0, 1, 3, 0, 4, 3, 2, 1, 3, 4, 3, 4, 0, 4, 2, 4, 4, 4, 1, 0, 3, 4, 0, 3, 2, 2, 4, 1, 1, 4, 4, 3, 2, 3, 1, 3, 4, 3, 4, 0, 4, 0, 2, 4, 4, 4, 2, 0, 0, 2, 4, 3, 1, 3, 1, 3, 1, 3, 0, 4, 0, 2, 0, 4, 0, 4, 0, 1, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 0, 2, 4, 3, 2, 4, 2, 0, 3, 2, 1, 0, 4, 2, 3, 0, 4, 3, 4, 4, 2, 0, 4, 1, 3, 3, 0, 0, 0, 4, 0, 4, 1, 1, 4, 3, 4, 1, 2, 0, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 3, 2, 1, 1, 0, 3, 0, 2, 3, 2, 2, 1, 3, 2, 2, 3, 1, 2, 3, 0, 2, 4, 3, 0, 4, 0, 1, 4, 4, 0, 4, 4, 0, 3, 4, 0, 1, 0, 4, 2, 1, 4, 1, 4, 1, 3, 4, 4, 2, 0, 3, 0, 0, 4, 3, 2, 0, 0, 0, 2, 1, 3, 2, 1, 2, 4, 4, 0, 3, 3, 4, 3, 4, 2, 0, 1, 0, 4, 3, 1, 2, 1, 0, 4, 4, 4, 3, 1, 1, 3, 0, 3, 0, 0, 3, 4, 2, 3, 1, 4, 0, 0, 0, 1, 1, 4, 0, 2, 3, 3, 0, 4, 0, 2, 3, 1, 3, 4, 0, 4, 3, 0, 2, 3, 0, 3, 1, 3, 2, 1, 3, 3, 3, 3, 0, 3, 2, 2, 3, 4, 2, 2, 1, 0, 1, 0, 4, 1, 2, 4, 0, 1]
pubkeycol1121 = [2, 1, 1, 3, 1, 1, 4, 4, 3, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 0, 4, 4, 1, 4, 1, 3, 3, 0, 3, 3, 1, 2, 0, 3, 2, 2, 1, 4, 0, 0, 1, 0, 4, 2, 1, 2, 1, 1, 2, 2, 1, 4, 1, 4, 3, 2, 1, 1, 0, 0, 3, 1, 4, 0, 4, 1, 3, 4, 0, 2, 4, 0, 1, 4, 4, 2, 3, 1, 2, 4, 4, 1, 3, 3, 4, 1, 4, 2, 3, 1, 0, 0, 4, 4, 3, 1, 2, 0, 4, 1, 2, 2, 0, 0, 2, 3, 3, 0, 0, 0, 2, 0, 1, 2, 2, 0, 3, 2, 3, 0, 4, 0, 2, 2, 0, 4, 2, 0, 2, 0, 4, 4, 4, 2, 4, 0, 4, 2, 0, 3, 0, 1, 1, 1, 1, 3, 4, 3, 0, 3, 2, 1, 1, 4, 0, 0, 1, 3, 2, 1, 3, 3, 3, 0, 3, 1, 4, 1, 3, 3, 3, 0, 0, 4, 4, 2, 4, 2, 2, 4, 2, 2, 3, 4, 3, 3, 4, 3, 0, 1, 3, 2, 1, 3, 0, 4, 3, 4, 1, 2, 1, 4, 3, 3, 1, 1, 3, 0, 1, 1, 1, 4, 2, 3, 3, 3, 4, 4, 2, 1, 3, 1, 0, 2, 2, 1, 4, 1, 1, 0, 2, 4, 1, 0, 3, 4, 0, 3, 3, 2, 2, 3, 3, 4, 1, 0, 4, 0, 3, 2, 0, 3, 0, 1, 1, 4, 3, 4, 1, 4, 1, 4, 0, 1, 1, 4, 2, 4, 3, 4, 4, 1, 4, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 3, 1, 4, 1, 3, 1, 4, 4, 0, 3, 1, 4, 0, 3, 2, 3, 3, 3, 1, 1, 3, 0, 4, 2, 4, 4, 0, 0, 1, 2, 4, 4, 3, 4, 4, 1, 2, 4, 1, 3, 3, 4, 0, 1, 3, 2, 1, 1, 3, 0, 4, 3, 2, 1, 0, 1, 4, 0, 2, 2, 4, 2, 2, 0, 0, 3, 1, 1, 4, 1, 0, 4, 3, 4, 1, 1, 4, 3, 4, 3, 3, 1, 3, 1, 2, 1, 1, 4, 2, 3, 2, 4, 1, 4, 2, 3, 3, 4, 0, 4, 1, 0, 3, 0, 2, 1, 1, 1, 3, 1, 1, 4, 3, 4]
pubkeycol1122 = [0, 4, 1, 1, 0, 0, 0, 1, 2, 2, 4, 3, 1, 3, 0, 4, 2, 4, 3, 1, 1, 3, 4, 0, 3, 0, 2, 2, 1, 0, 3, 1, 1, 4, 1, 4, 4, 1, 4, 2, 3, 3, 1, 2, 2, 1, 3, 2, 0, 4, 0, 3, 1, 0, 3, 0, 1, 0, 2, 1, 4, 2, 1, 0, 0, 2, 3, 0, 1, 3, 1, 0, 3, 3, 2, 3, 3, 2, 1, 1, 0, 4, 2, 1, 3, 4, 0, 4, 3, 2, 3, 4, 0, 1, 3, 4, 0, 2, 2, 4, 3, 2, 4, 3, 2, 2, 0, 1, 2, 4, 2, 4, 0, 2, 0, 3, 4, 4, 2, 1, 0, 2, 0, 3, 1, 3, 3, 2, 0, 1, 3, 3, 3, 4, 2, 0, 1, 3, 3, 2, 0, 4, 0, 3, 3, 2, 0, 1, 2, 0, 2, 3, 1, 4, 2, 1, 2, 0, 4, 1, 1, 3, 3, 3, 3, 2, 2, 2, 4, 4, 4, 3, 2, 4, 2, 0, 1, 0, 3, 3, 3, 3, 0, 2, 1, 1, 3, 0, 4, 2, 1, 2, 0, 1, 4, 3, 3, 3, 3, 4, 4, 0, 2, 1, 4, 0, 3, 0, 4, 1, 2, 1, 3, 0, 2, 0, 4, 4, 2, 4, 3, 3, 3, 0, 0, 0, 1, 4, 4, 0, 0, 1, 3, 2, 1, 1, 1, 4, 1, 0, 1, 2, 3, 1, 4, 2, 1, 3, 0, 0, 1, 0, 3, 3, 4, 4, 2, 2, 0, 2, 1, 4, 2, 4, 2, 0, 2, 1, 4, 0, 4, 3, 1, 3, 4, 3, 4, 1, 4, 3, 3, 0, 2, 3, 1, 4, 2, 3, 3, 0, 3, 4, 0, 0, 3, 3, 3, 4, 4, 1, 4, 1, 1, 1, 0, 3, 4, 3, 0, 4, 3, 2, 1, 2, 2, 2, 4, 2, 4, 2, 4, 4, 0, 0, 1, 3, 0, 2, 0, 1, 4, 3, 0, 4, 1, 4, 4, 3, 2, 0, 1, 0, 4, 1, 4, 2, 2, 0, 1, 1, 3, 2, 4, 3, 2, 1, 4, 0, 0, 1, 2, 0, 1, 2, 4, 4, 1, 1, 1, 1, 2, 4, 2, 3, 3, 4, 4, 1, 4, 2, 1, 3, 1, 0, 4, 3, 0, 3, 1, 4, 3, 1, 0, 3, 2, 2, 0, 1, 4, 3]
pubkeycol1123 = [4, 1, 1, 3, 1, 2, 0, 2, 3, 3, 2, 3, 0, 2, 0, 1, 4, 3, 3, 1, 4, 1, 2, 2, 4, 1, 0, 0, 1, 3, 0, 3, 2, 4, 3, 4, 2, 2, 3, 1, 1, 4, 0, 1, 3, 3, 1, 4, 0, 0, 3, 1, 1, 0, 4, 1, 0, 1, 4, 0, 4, 3, 3, 0, 1, 0, 1, 3, 3, 1, 4, 0, 2, 2, 0, 0, 2, 0, 2, 1, 3, 3, 2, 2, 3, 4, 2, 4, 1, 2, 1, 0, 1, 2, 4, 4, 1, 0, 2, 0, 3, 3, 2, 3, 4, 3, 2, 2, 2, 3, 0, 2, 4, 2, 4, 0, 2, 3, 4, 0, 2, 1, 0, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 4, 4, 4, 3, 2, 2, 3, 3, 0, 3, 3, 2, 2, 1, 4, 2, 4, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 3, 4, 2, 4, 2, 0, 3, 1, 3, 3, 4, 1, 4, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 4, 1, 1, 4, 0, 4, 0, 3, 0, 1, 4, 3, 0, 0, 0, 1, 3, 4, 1, 3, 3, 1, 1, 4, 2, 0, 3, 0, 2, 0, 3, 1, 3, 1, 4, 0, 2, 0, 1, 0, 2, 4, 2, 4, 0, 2, 0, 1, 4, 1, 3, 0, 4, 4, 3, 3, 0, 4, 1, 3, 0, 3, 1, 3, 2, 0, 0, 2, 3, 0, 3, 1, 2, 4, 1, 3, 4, 3, 1, 4, 1, 0, 2, 4, 0, 1, 4, 2, 2, 4, 1, 2, 2, 4, 3, 3, 3, 1, 0, 1, 4, 2, 4, 2, 2, 0, 3, 4, 3, 0, 2, 0, 2, 4, 3, 4, 1, 4, 3, 3, 4, 4, 2, 3, 3, 3, 3, 4, 3, 4, 2, 1, 2, 3, 0, 0, 1, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 1, 1, 3, 1, 1, 4, 1, 3, 2, 3, 2, 3, 0, 2, 1, 2, 3, 1, 0, 1, 2, 4, 4, 3, 3, 2, 3, 0, 2, 0, 2, 1, 1, 1, 2, 4, 4, 0, 1, 4, 3, 3, 4, 2, 4, 2, 2, 1, 3, 1, 0, 3, 0, 4, 4, 4, 3, 1, 4, 1, 2, 4]
pubkeycol1124 = [0, 3, 4, 4, 2, 1, 1, 2, 2, 1, 3, 2, 0, 1, 4, 2, 1, 3, 2, 1, 0, 1, 2, 3, 0, 1, 3, 3, 1, 3, 0, 4, 2, 0, 4, 0, 1, 1, 3, 4, 3, 3, 4, 0, 2, 0, 4, 4, 2, 4, 1, 3, 1, 0, 1, 3, 3, 2, 3, 4, 1, 3, 1, 4, 2, 0, 4, 4, 3, 4, 1, 2, 3, 3, 2, 0, 1, 0, 4, 4, 3, 3, 3, 2, 1, 2, 4, 1, 3, 4, 0, 3, 2, 2, 2, 4, 2, 0, 1, 1, 1, 1, 2, 0, 0, 4, 1, 2, 3, 1, 1, 1, 4, 0, 1, 1, 0, 2, 1, 4, 3, 2, 4, 0, 1, 3, 0, 4, 3, 1, 0, 3, 3, 0, 3, 1, 0, 3, 3, 3, 0, 4, 3, 2, 3, 1, 4, 2, 1, 0, 1, 4, 1, 1, 3, 3, 1, 1, 2, 1, 2, 3, 0, 1, 0, 0, 4, 0, 0, 4, 0, 2, 4, 1, 1, 1, 3, 2, 4, 0, 3, 0, 2, 0, 3, 2, 0, 0, 0, 3, 1, 3, 4, 0, 0, 2, 1, 0, 1, 1, 2, 3, 3, 4, 2, 3, 2, 4, 4, 2, 0, 0, 0, 1, 0, 4, 2, 0, 0, 3, 4, 1, 4, 1, 3, 4, 3, 4, 1, 0, 2, 1, 4, 4, 2, 4, 4, 4, 3, 2, 4, 0, 1, 2, 0, 4, 2, 2, 0, 3, 4, 0, 4, 0, 2, 4, 3, 3, 4, 2, 2, 4, 0, 1, 0, 0, 2, 4, 3, 3, 4, 3, 2, 1, 1, 3, 2, 3, 0, 0, 4, 4, 2, 0, 4, 4, 3, 4, 1, 0, 3, 0, 1, 3, 3, 3, 0, 4, 1, 4, 3, 2, 3, 1, 4, 4, 0, 4, 4, 0, 4, 4, 0, 3, 4, 2, 1, 2, 3, 4, 1, 1, 2, 3, 4, 4, 2, 1, 3, 1, 0, 2, 3, 4, 4, 3, 0, 1, 1, 3, 4, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 3, 4, 2, 3, 3, 1, 2, 1, 3, 3, 4, 2, 1, 0, 3, 1, 2, 3, 1, 1, 3, 2, 4, 3, 0, 4, 4, 2, 1, 4, 0, 1, 4, 4, 3, 4, 4, 3, 2, 0, 4, 3, 1, 1, 2, 3, 1, 4, 3]
pubkeycol1125 = [4, 0, 0, 2, 2, 4, 2, 1, 0, 2, 2, 3, 0, 2, 2, 3, 3, 2, 4, 4, 3, 0, 1, 1, 4, 4, 1, 3, 4, 1, 2, 3, 4, 4, 0, 1, 4, 1, 4, 3, 2, 4, 3, 2, 0, 3, 3, 3, 2, 3, 0, 4, 1, 2, 2, 3, 3, 0, 4, 0, 1, 2, 2, 2, 3, 0, 0, 4, 3, 2, 3, 2, 0, 0, 4, 0, 4, 3, 4, 1, 1, 0, 2, 0, 0, 0, 3, 1, 1, 4, 0, 0, 3, 1, 3, 2, 0, 2, 2, 4, 3, 0, 3, 2, 0, 3, 4, 2, 1, 3, 4, 4, 2, 1, 1, 1, 4, 1, 2, 0, 4, 1, 3, 4, 1, 1, 4, 4, 0, 1, 1, 0, 2, 0, 2, 3, 0, 4, 2, 1, 2, 1, 3, 1, 4, 0, 4, 3, 3, 0, 3, 4, 1, 4, 1, 4, 0, 3, 1, 4, 0, 2, 0, 2, 3, 0, 4, 3, 1, 0, 1, 1, 3, 2, 0, 4, 0, 3, 0, 0, 1, 4, 0, 1, 3, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 4, 0, 0, 3, 1, 2, 4, 1, 1, 4, 0, 4, 4, 3, 1, 2, 2, 3, 0, 3, 1, 2, 1, 4, 4, 4, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 3, 1, 3, 3, 0, 4, 2, 4, 4, 0, 0, 0, 3, 4, 2, 2, 3, 4, 2, 4, 0, 0, 3, 1, 2, 4, 3, 3, 4, 4, 1, 2, 1, 0, 4, 3, 2, 0, 2, 2, 4, 2, 2, 2, 3, 1, 1, 1, 0, 2, 3, 4, 1, 3, 0, 1, 1, 1, 2, 4, 4, 4, 0, 4, 3, 3, 1, 1, 0, 2, 0, 3, 3, 0, 0, 2, 0, 4, 1, 1, 0, 2, 3, 2, 1, 3, 3, 3, 0, 0, 1, 2, 0, 2, 3, 2, 2, 1, 3, 3, 0, 2, 1, 3, 0, 3, 2, 1, 1, 3, 2, 1, 0, 2, 2, 4, 0, 2, 4, 1, 2, 3, 2, 2, 4, 1, 3, 1, 1, 2, 1, 4, 3, 0, 2, 0, 0, 4, 4, 1, 0, 3, 0, 4, 1, 3, 1, 3, 1, 1, 4, 0, 3, 3, 0, 3, 1, 0, 0, 4, 2, 0, 0, 3]
pubkeycol1126 = [2, 0, 1, 4, 3, 0, 4, 4, 1, 4, 1, 3, 4, 2, 3, 3, 0, 0, 0, 1, 3, 2, 0, 4, 3, 0, 3, 0, 1, 3, 4, 2, 2, 4, 3, 2, 4, 0, 0, 3, 0, 0, 2, 0, 1, 1, 4, 1, 4, 3, 3, 3, 4, 2, 3, 4, 4, 4, 1, 1, 0, 1, 3, 2, 2, 4, 2, 2, 3, 1, 3, 2, 1, 1, 0, 0, 2, 1, 2, 4, 2, 0, 4, 1, 0, 2, 2, 0, 2, 2, 1, 0, 4, 3, 2, 3, 0, 0, 1, 0, 3, 1, 0, 3, 2, 1, 4, 2, 0, 4, 3, 0, 0, 4, 1, 3, 2, 4, 4, 4, 2, 2, 4, 1, 1, 4, 2, 0, 4, 0, 1, 0, 2, 4, 4, 3, 3, 3, 1, 1, 0, 1, 1, 4, 4, 2, 3, 2, 3, 3, 3, 3, 4, 2, 2, 4, 0, 1, 0, 0, 2, 2, 4, 2, 2, 4, 2, 3, 3, 2, 1, 2, 0, 3, 3, 4, 1, 3, 3, 2, 3, 3, 3, 4, 2, 1, 0, 4, 3, 0, 0, 2, 4, 4, 1, 2, 0, 0, 1, 0, 0, 3, 4, 1, 3, 3, 0, 4, 4, 4, 0, 2, 4, 0, 3, 4, 2, 2, 3, 3, 0, 1, 4, 2, 2, 1, 0, 0, 0, 2, 4, 2, 2, 3, 4, 1, 4, 1, 1, 2, 3, 2, 4, 3, 4, 3, 1, 4, 0, 0, 1, 1, 0, 3, 2, 4, 3, 3, 0, 0, 1, 1, 4, 0, 0, 2, 2, 2, 0, 4, 3, 0, 3, 4, 0, 2, 1, 3, 3, 3, 3, 2, 1, 3, 0, 0, 2, 2, 0, 4, 3, 3, 2, 4, 4, 3, 0, 3, 1, 0, 2, 1, 4, 4, 4, 2, 2, 0, 3, 0, 2, 2, 0, 4, 2, 0, 0, 3, 0, 4, 2, 4, 1, 3, 4, 3, 2, 1, 1, 0, 0, 2, 2, 1, 2, 4, 2, 2, 3, 3, 4, 3, 2, 4, 4, 4, 2, 0, 2, 4, 3, 1, 2, 1, 4, 1, 2, 3, 2, 4, 1, 3, 0, 3, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 3, 0, 4, 0, 1, 4, 0, 2, 0, 1, 4, 4, 1, 4, 0, 1, 1, 0, 2, 2, 3, 0, 2]
pubkeycol1127 = [1, 3, 4, 2, 4, 4, 4, 2, 0, 2, 1, 4, 2, 4, 1, 1, 3, 0, 1, 3, 2, 2, 4, 4, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 1, 2, 4, 4, 3, 1, 2, 3, 3, 4, 1, 2, 1, 3, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 2, 4, 0, 4, 3, 2, 0, 3, 3, 0, 4, 2, 0, 3, 3, 2, 1, 4, 0, 3, 4, 0, 0, 0, 2, 4, 4, 1, 1, 1, 1, 4, 2, 2, 2, 2, 2, 0, 0, 1, 2, 4, 3, 1, 1, 4, 3, 4, 0, 0, 3, 1, 2, 0, 1, 3, 2, 4, 2, 4, 1, 2, 2, 4, 3, 4, 0, 3, 2, 4, 2, 2, 0, 4, 2, 3, 4, 4, 3, 0, 4, 1, 1, 0, 4, 0, 0, 3, 0, 0, 2, 2, 2, 0, 4, 3, 4, 3, 2, 4, 3, 3, 1, 1, 2, 4, 0, 0, 2, 4, 1, 2, 3, 2, 4, 4, 0, 3, 0, 2, 4, 4, 1, 2, 4, 2, 4, 0, 4, 4, 1, 3, 1, 0, 3, 1, 1, 4, 1, 4, 3, 3, 4, 4, 2, 1, 0, 1, 2, 0, 4, 1, 3, 0, 2, 2, 3, 3, 4, 4, 3, 0, 1, 0, 1, 1, 3, 0, 1, 2, 0, 0, 4, 2, 4, 2, 0, 2, 4, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 4, 1, 0, 1, 3, 2, 0, 2, 1, 0, 3, 0, 2, 4, 2, 0, 4, 1, 3, 2, 0, 2, 1, 3, 2, 2, 3, 2, 4, 2, 1, 4, 4, 1, 2, 3, 4, 3, 4, 4, 1, 0, 0, 2, 3, 3, 3, 4, 2, 3, 4, 1, 4, 4, 3, 4, 2, 0, 4, 4, 4, 2, 3, 3, 1, 2, 3, 2, 0, 4, 4, 1, 0, 0, 1, 3, 0, 3, 2, 1, 0, 4, 3, 0, 0, 0, 4, 2, 1, 4, 3, 0, 0, 2, 2, 3, 1, 0, 2, 0, 2, 2, 0, 4, 1, 3, 3, 3, 2, 2, 1, 2, 3, 1, 4, 1, 2, 3, 3, 3, 1, 2, 4, 0, 1, 3, 3, 3, 1, 2, 4, 4, 1, 3, 4, 3, 4, 4, 3, 1, 3, 4, 2, 3, 1, 4, 4, 3]
pubkeycol1128 = [4, 4, 0, 1, 2, 2, 4, 4, 4, 1, 4, 0, 1, 2, 0, 3, 2, 1, 2, 0, 4, 2, 1, 0, 3, 3, 3, 3, 2, 4, 3, 0, 2, 2, 4, 2, 3, 2, 0, 2, 1, 0, 0, 2, 1, 4, 1, 3, 4, 3, 0, 1, 3, 3, 0, 1, 2, 4, 1, 1, 2, 4, 0, 2, 4, 3, 0, 3, 2, 3, 4, 4, 2, 1, 1, 3, 3, 3, 2, 2, 3, 2, 4, 0, 1, 3, 4, 1, 4, 2, 3, 4, 4, 4, 1, 0, 2, 0, 1, 0, 0, 3, 1, 1, 3, 1, 0, 3, 1, 1, 2, 1, 4, 3, 4, 1, 4, 0, 0, 2, 1, 2, 4, 1, 3, 2, 3, 3, 1, 0, 1, 4, 1, 1, 4, 3, 3, 2, 0, 2, 3, 1, 3, 1, 3, 4, 2, 4, 3, 4, 4, 2, 3, 0, 1, 2, 1, 2, 1, 0, 4, 2, 1, 1, 4, 1, 2, 4, 4, 0, 1, 4, 1, 4, 2, 2, 1, 3, 4, 1, 4, 0, 4, 4, 1, 2, 1, 1, 2, 4, 3, 1, 3, 0, 1, 3, 2, 1, 2, 4, 0, 1, 0, 0, 3, 0, 2, 2, 0, 1, 3, 3, 1, 1, 1, 1, 1, 0, 2, 4, 2, 0, 0, 2, 1, 2, 4, 3, 0, 0, 0, 2, 3, 4, 2, 4, 2, 3, 4, 3, 3, 3, 0, 4, 0, 4, 0, 4, 1, 3, 1, 0, 4, 4, 4, 0, 3, 3, 2, 2, 2, 4, 1, 3, 0, 4, 1, 4, 0, 4, 4, 4, 3, 3, 1, 2, 1, 4, 4, 1, 1, 1, 4, 4, 0, 0, 0, 0, 0, 1, 4, 0, 3, 1, 3, 1, 3, 4, 1, 3, 2, 4, 4, 3, 0, 4, 0, 2, 0, 0, 4, 4, 2, 4, 3, 4, 1, 0, 1, 0, 4, 1, 0, 0, 1, 0, 0, 1, 4, 2, 0, 2, 1, 4, 1, 4, 3, 2, 0, 1, 4, 2, 2, 1, 2, 4, 2, 4, 2, 3, 4, 0, 1, 1, 3, 3, 3, 1, 2, 0, 0, 0, 1, 1, 0, 4, 2, 1, 2, 2, 4, 3, 4, 1, 0, 1, 2, 1, 4, 0, 2, 2, 1, 1, 3, 2, 3, 4, 4, 0, 3, 3, 1, 0, 3, 0, 1, 4, 4, 1]
pubkeycol1129 = [4, 2, 1, 3, 1, 4, 1, 1, 3, 2, 0, 0, 0, 2, 3, 3, 3, 1, 3, 2, 1, 4, 2, 3, 0, 1, 2, 1, 2, 0, 1, 1, 3, 3, 2, 4, 3, 2, 0, 2, 4, 4, 1, 2, 4, 3, 0, 2, 2, 2, 3, 0, 0, 4, 4, 3, 4, 4, 2, 2, 3, 1, 4, 2, 0, 1, 3, 4, 3, 2, 3, 4, 3, 4, 1, 3, 4, 2, 2, 1, 4, 1, 0, 1, 4, 4, 2, 2, 0, 4, 3, 2, 1, 4, 4, 2, 2, 0, 1, 3, 1, 3, 1, 3, 3, 4, 2, 3, 0, 0, 0, 1, 3, 4, 0, 2, 1, 3, 1, 4, 4, 3, 4, 0, 4, 2, 2, 2, 2, 1, 3, 1, 0, 1, 1, 0, 3, 0, 4, 0, 3, 2, 2, 3, 1, 2, 2, 1, 2, 0, 3, 3, 3, 0, 0, 4, 4, 1, 2, 0, 2, 4, 0, 0, 2, 0, 2, 4, 0, 3, 4, 4, 0, 4, 1, 1, 1, 0, 0, 3, 4, 4, 3, 3, 3, 4, 1, 3, 4, 1, 0, 3, 0, 3, 1, 4, 1, 3, 2, 0, 1, 3, 3, 2, 2, 0, 2, 1, 0, 1, 3, 3, 3, 0, 3, 0, 1, 4, 1, 0, 3, 0, 3, 1, 0, 4, 0, 0, 3, 4, 3, 4, 1, 4, 2, 1, 0, 4, 0, 2, 2, 2, 2, 3, 4, 0, 3, 3, 2, 1, 4, 0, 3, 1, 3, 1, 0, 2, 4, 2, 4, 2, 4, 0, 4, 3, 2, 1, 0, 3, 2, 0, 2, 2, 3, 0, 3, 3, 0, 4, 0, 4, 3, 3, 0, 1, 4, 2, 2, 3, 0, 4, 2, 0, 3, 2, 1, 0, 4, 1, 1, 0, 2, 0, 4, 2, 4, 2, 2, 4, 0, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 0, 4, 1, 3, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 1, 4, 2, 3, 3, 4, 4, 4, 3, 1, 4, 2, 0, 3, 2, 2, 0, 1, 3, 4, 4, 3, 4, 2, 0, 3, 0, 0, 2, 4, 1, 4, 3, 0, 2, 4, 1, 3, 4, 1, 3, 1, 0, 4, 2, 2, 4, 4, 4, 2, 0, 0, 3]
pubkeycol1130 = [3, 0, 4, 3, 2, 3, 3, 1, 2, 2, 3, 2, 2, 0, 1, 3, 1, 0, 0, 0, 3, 1, 3, 0, 0, 1, 4, 2, 1, 0, 2, 0, 2, 1, 4, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 4, 2, 1, 4, 0, 0, 2, 2, 3, 1, 3, 0, 1, 2, 3, 2, 4, 1, 0, 0, 2, 4, 2, 2, 2, 1, 4, 4, 2, 0, 4, 3, 1, 0, 3, 0, 3, 3, 0, 4, 1, 2, 0, 3, 1, 2, 0, 3, 2, 4, 0, 3, 3, 0, 0, 0, 2, 0, 1, 0, 1, 2, 4, 3, 2, 1, 2, 0, 1, 2, 2, 3, 1, 2, 4, 3, 4, 3, 2, 1, 4, 4, 2, 2, 0, 2, 0, 4, 2, 4, 1, 4, 0, 1, 0, 2, 0, 0, 1, 3, 1, 0, 1, 4, 4, 0, 3, 4, 1, 4, 0, 4, 2, 0, 3, 1, 4, 0, 3, 1, 4, 2, 1, 4, 0, 3, 3, 2, 2, 2, 4, 0, 3, 0, 1, 1, 3, 2, 0, 3, 0, 3, 4, 0, 3, 3, 3, 0, 4, 1, 4, 2, 4, 3, 0, 3, 4, 1, 4, 4, 4, 3, 1, 2, 2, 1, 2, 4, 1, 3, 0, 0, 2, 2, 0, 2, 3, 3, 2, 4, 2, 4, 3, 4, 1, 2, 4, 0, 4, 4, 0, 1, 3, 3, 4, 1, 4, 4, 2, 1, 2, 3, 2, 0, 0, 1, 3, 1, 3, 3, 4, 3, 0, 2, 0, 0, 1, 0, 1, 2, 4, 2, 4, 4, 1, 2, 2, 2, 4, 0, 0, 1, 1, 1, 4, 3, 2, 2, 0, 3, 0, 4, 1, 4, 2, 1, 1, 1, 4, 2, 3, 1, 3, 1, 2, 1, 0, 0, 1, 4, 3, 2, 3, 1, 2, 3, 0, 2, 1, 4, 3, 3, 0, 3, 3, 0, 4, 0, 3, 4, 0, 3, 2, 1, 1, 3, 4, 4, 2, 2, 0, 4, 0, 2, 2, 4, 4, 2, 4, 0, 0, 4, 1, 1, 2, 1, 1, 2, 1, 2, 1, 3, 3, 2, 1, 1, 0, 4, 4, 0, 1, 1, 0, 2, 0, 2, 3, 4, 2, 0, 0, 4, 3, 2, 3, 2, 2, 1, 4, 2, 3, 0, 0, 2, 1, 2, 3, 4, 0, 4, 2, 0, 4, 1]
pubkeycol1131 = [2, 3, 3, 2, 1, 3, 0, 3, 0, 1, 3, 2, 3, 3, 0, 3, 3, 4, 4, 1, 4, 2, 1, 3, 1, 0, 2, 2, 4, 1, 1, 4, 1, 2, 4, 3, 2, 0, 0, 1, 2, 2, 3, 2, 0, 2, 3, 3, 0, 1, 0, 1, 2, 3, 2, 4, 3, 1, 4, 3, 4, 2, 3, 4, 3, 4, 1, 0, 2, 1, 0, 1, 2, 4, 0, 2, 3, 1, 3, 4, 3, 3, 1, 2, 3, 0, 0, 1, 0, 3, 4, 0, 0, 0, 1, 0, 4, 4, 1, 3, 4, 3, 4, 4, 3, 2, 2, 3, 1, 3, 1, 4, 4, 2, 3, 0, 3, 0, 1, 1, 3, 2, 3, 2, 4, 4, 1, 0, 3, 3, 0, 4, 3, 4, 0, 1, 1, 0, 3, 4, 0, 3, 1, 0, 2, 2, 2, 4, 4, 0, 4, 4, 3, 4, 0, 1, 2, 4, 3, 0, 0, 4, 4, 0, 1, 1, 0, 2, 1, 3, 0, 4, 4, 4, 3, 2, 0, 0, 3, 2, 4, 1, 3, 4, 2, 2, 1, 1, 1, 3, 3, 4, 3, 2, 0, 4, 2, 0, 1, 0, 4, 1, 0, 4, 2, 3, 3, 0, 1, 4, 1, 1, 1, 1, 1, 4, 4, 4, 4, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 1, 0, 1, 3, 2, 1, 3, 2, 2, 1, 1, 0, 1, 0, 0, 3, 0, 1, 4, 1, 0, 1, 4, 1, 2, 2, 1, 2, 3, 1, 3, 1, 1, 3, 3, 1, 4, 4, 1, 3, 0, 3, 0, 2, 2, 1, 4, 2, 2, 0, 4, 2, 3, 4, 0, 3, 2, 1, 0, 0, 2, 3, 2, 4, 1, 4, 1, 4, 0, 1, 2, 0, 4, 3, 3, 3, 2, 1, 4, 3, 1, 0, 3, 2, 1, 4, 3, 0, 4, 4, 0, 3, 3, 4, 2, 4, 2, 0, 0, 2, 1, 2, 4, 4, 0, 4, 4, 0, 0, 3, 2, 0, 4, 0, 2, 1, 2, 3, 3, 1, 0, 2, 0, 3, 2, 3, 1, 1, 3, 2, 2, 4, 2, 1, 1, 2, 1, 4, 2, 3, 3, 2, 3, 0, 3, 2, 0, 4, 2, 1, 0, 0, 2, 3, 2, 0, 0, 0, 3, 2, 0, 4, 3, 2, 3, 2, 1, 4, 3, 2, 0]
pubkeycol1132 = [3, 1, 1, 0, 0, 0, 3, 3, 4, 0, 4, 3, 0, 4, 1, 2, 4, 1, 2, 1, 0, 0, 1, 1, 2, 0, 3, 2, 4, 2, 1, 0, 2, 4, 2, 2, 0, 2, 0, 2, 4, 0, 4, 2, 0, 0, 2, 1, 0, 0, 2, 4, 2, 1, 0, 4, 4, 3, 1, 0, 4, 0, 2, 0, 2, 0, 1, 1, 3, 4, 4, 1, 3, 3, 1, 2, 2, 3, 0, 3, 3, 1, 3, 4, 4, 2, 0, 2, 3, 0, 3, 0, 3, 1, 4, 1, 0, 0, 0, 4, 4, 1, 3, 0, 4, 1, 2, 2, 0, 2, 0, 2, 4, 1, 1, 3, 4, 0, 1, 2, 3, 4, 2, 0, 2, 4, 0, 2, 1, 0, 2, 0, 3, 1, 3, 3, 2, 0, 4, 4, 1, 4, 1, 4, 4, 2, 4, 4, 2, 0, 4, 2, 2, 3, 3, 2, 0, 2, 1, 1, 2, 0, 3, 4, 3, 1, 4, 3, 4, 3, 2, 2, 0, 3, 4, 3, 2, 0, 0, 0, 0, 4, 4, 3, 2, 3, 2, 4, 3, 3, 3, 2, 4, 3, 0, 2, 2, 4, 1, 2, 1, 1, 2, 4, 1, 1, 3, 2, 2, 2, 0, 0, 0, 4, 0, 4, 4, 0, 4, 3, 4, 2, 4, 3, 0, 4, 0, 3, 2, 2, 4, 1, 4, 1, 3, 2, 2, 1, 0, 0, 2, 2, 3, 1, 0, 0, 4, 2, 4, 3, 1, 3, 4, 3, 3, 3, 3, 3, 1, 2, 3, 2, 3, 3, 1, 1, 0, 3, 1, 0, 3, 3, 3, 2, 3, 0, 1, 1, 1, 4, 3, 3, 2, 4, 2, 1, 2, 4, 4, 1, 3, 1, 1, 0, 2, 1, 4, 4, 0, 2, 3, 3, 3, 4, 4, 4, 3, 2, 4, 4, 0, 2, 2, 0, 4, 4, 2, 0, 1, 0, 0, 3, 4, 3, 0, 2, 4, 4, 4, 0, 1, 4, 1, 1, 4, 4, 0, 4, 2, 4, 2, 0, 1, 2, 4, 2, 0, 1, 1, 3, 4, 3, 0, 4, 4, 2, 4, 4, 4, 3, 0, 1, 0, 2, 2, 4, 1, 1, 0, 4, 2, 4, 4, 4, 3, 0, 4, 1, 3, 0, 4, 1, 2, 4, 2, 4, 4, 3, 2, 4, 0, 2, 4, 3, 2, 2, 4, 2, 4, 2]
pubkeycol1133 = [2, 2, 2, 4, 4, 1, 4, 2, 2, 3, 2, 2, 2, 2, 4, 1, 4, 3, 3, 3, 0, 0, 2, 0, 0, 3, 2, 1, 3, 2, 4, 4, 1, 1, 3, 0, 1, 4, 3, 3, 2, 0, 3, 1, 1, 0, 4, 1, 3, 2, 4, 2, 2, 0, 3, 0, 0, 2, 2, 1, 0, 4, 3, 3, 4, 0, 4, 2, 4, 1, 3, 4, 4, 1, 1, 2, 3, 0, 0, 0, 1, 1, 4, 4, 3, 3, 0, 2, 4, 3, 0, 2, 2, 3, 0, 3, 0, 3, 0, 0, 4, 0, 4, 1, 3, 3, 4, 4, 0, 0, 0, 4, 4, 1, 1, 0, 2, 1, 2, 4, 1, 0, 4, 3, 2, 2, 0, 3, 4, 0, 2, 0, 4, 2, 2, 1, 1, 4, 0, 1, 3, 2, 2, 2, 3, 2, 4, 4, 2, 0, 2, 3, 2, 1, 3, 0, 0, 2, 0, 1, 0, 0, 1, 4, 1, 3, 1, 1, 4, 4, 4, 3, 3, 2, 1, 1, 2, 2, 2, 4, 3, 1, 1, 3, 4, 0, 1, 1, 3, 3, 2, 4, 0, 2, 0, 3, 3, 1, 0, 4, 0, 4, 1, 3, 3, 1, 3, 1, 0, 0, 0, 0, 1, 3, 3, 3, 2, 3, 3, 0, 4, 0, 3, 4, 0, 1, 1, 4, 4, 2, 2, 2, 3, 4, 2, 2, 1, 4, 0, 3, 1, 4, 4, 3, 0, 3, 1, 1, 4, 3, 3, 4, 1, 4, 4, 4, 2, 2, 3, 2, 2, 3, 1, 2, 3, 3, 0, 3, 2, 0, 4, 1, 4, 1, 2, 4, 1, 1, 4, 3, 0, 1, 3, 1, 4, 1, 3, 1, 4, 4, 4, 1, 0, 4, 4, 3, 0, 3, 3, 3, 3, 1, 0, 3, 2, 3, 2, 1, 0, 4, 3, 1, 2, 1, 4, 4, 4, 4, 4, 1, 2, 0, 0, 3, 4, 3, 1, 0, 0, 3, 3, 0, 1, 1, 3, 3, 4, 0, 2, 4, 3, 0, 0, 1, 2, 0, 4, 2, 1, 4, 3, 1, 1, 1, 0, 0, 4, 3, 4, 3, 2, 1, 0, 1, 0, 4, 1, 0, 3, 2, 1, 4, 0, 2, 2, 3, 2, 1, 2, 0, 0, 4, 2, 0, 1, 0, 4, 4, 1, 4, 4, 2, 2, 1, 3, 3, 2, 0, 4, 3]
pubkeycol1134 = [0, 4, 3, 3, 2, 3, 2, 1, 2, 0, 0, 2, 2, 3, 1, 0, 0, 1, 4, 0, 2, 0, 2, 1, 3, 1, 0, 3, 3, 3, 4, 4, 4, 3, 2, 2, 1, 3, 4, 3, 3, 2, 3, 1, 1, 3, 4, 3, 2, 4, 1, 4, 3, 3, 1, 2, 3, 3, 1, 1, 4, 3, 0, 1, 0, 3, 1, 4, 2, 2, 3, 3, 0, 3, 4, 1, 0, 2, 4, 2, 2, 4, 0, 2, 2, 0, 2, 2, 0, 3, 0, 0, 3, 1, 4, 2, 2, 0, 2, 3, 3, 1, 1, 3, 0, 4, 2, 0, 4, 2, 0, 2, 3, 1, 3, 0, 0, 1, 0, 1, 2, 2, 0, 0, 3, 0, 2, 3, 1, 4, 0, 1, 1, 4, 0, 1, 1, 0, 4, 4, 2, 2, 1, 2, 4, 3, 1, 1, 2, 4, 0, 2, 2, 0, 1, 1, 4, 3, 0, 0, 0, 1, 3, 3, 2, 3, 4, 3, 4, 4, 3, 1, 0, 3, 3, 1, 1, 4, 2, 4, 3, 4, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 3, 4, 0, 0, 4, 0, 4, 4, 2, 3, 2, 0, 4, 3, 1, 3, 1, 2, 3, 0, 1, 2, 3, 1, 1, 2, 1, 2, 3, 2, 3, 3, 1, 2, 3, 2, 4, 4, 1, 3, 3, 0, 1, 0, 4, 0, 3, 3, 2, 2, 1, 4, 0, 3, 4, 1, 3, 2, 4, 3, 4, 1, 4, 0, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 4, 2, 4, 1, 4, 2, 0, 0, 3, 2, 3, 4, 1, 4, 3, 4, 0, 1, 0, 3, 2, 2, 4, 2, 1, 3, 4, 1, 3, 0, 2, 3, 2, 1, 3, 0, 3, 0, 0, 4, 1, 2, 4, 2, 2, 1, 0, 4, 1, 4, 3, 2, 0, 3, 3, 0, 4, 4, 1, 2, 4, 3, 4, 3, 2, 2, 3, 4, 1, 3, 0, 2, 2, 4, 3, 3, 1, 1, 2, 0, 0, 4, 3, 2, 1, 3, 2, 0, 3, 0, 0, 4, 2, 2, 1, 4, 1, 4, 0, 1, 0, 0, 4, 0, 0, 1, 2, 4, 0, 2, 0, 0, 4, 1, 1, 2, 2, 3, 1, 0, 0, 1, 4, 4, 2, 1, 3, 2, 0, 1, 0, 3, 0]
pubkeycol1135 = [4, 2, 1, 0, 2, 2, 2, 3, 4, 1, 1, 3, 0, 3, 4, 2, 4, 4, 0, 0, 2, 3, 4, 4, 3, 2, 3, 4, 0, 4, 2, 1, 0, 3, 3, 0, 0, 2, 4, 4, 0, 4, 2, 2, 0, 4, 4, 2, 3, 2, 2, 2, 0, 1, 3, 1, 0, 2, 0, 2, 3, 2, 1, 0, 3, 3, 2, 1, 0, 4, 3, 2, 3, 1, 0, 3, 4, 1, 0, 1, 2, 0, 2, 2, 4, 0, 0, 4, 3, 4, 0, 3, 3, 3, 1, 3, 4, 2, 4, 1, 0, 1, 4, 1, 1, 2, 3, 3, 0, 4, 3, 1, 0, 3, 3, 1, 2, 1, 4, 2, 4, 2, 4, 0, 4, 1, 1, 3, 0, 4, 2, 2, 2, 0, 1, 1, 0, 3, 2, 1, 0, 4, 2, 2, 0, 2, 0, 4, 4, 4, 2, 4, 3, 3, 4, 0, 1, 4, 4, 1, 1, 2, 1, 0, 2, 1, 0, 3, 4, 0, 2, 4, 0, 0, 1, 4, 3, 2, 0, 4, 1, 3, 2, 4, 0, 0, 3, 1, 2, 3, 1, 2, 4, 1, 4, 0, 3, 1, 1, 3, 1, 1, 4, 3, 3, 1, 0, 0, 4, 0, 2, 2, 3, 4, 0, 0, 1, 4, 1, 3, 1, 0, 2, 4, 2, 0, 3, 4, 0, 3, 4, 4, 3, 1, 0, 3, 1, 4, 4, 4, 3, 3, 1, 2, 3, 2, 2, 3, 4, 0, 1, 1, 2, 3, 2, 0, 3, 1, 1, 3, 3, 0, 0, 4, 0, 4, 2, 2, 2, 4, 2, 4, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 1, 3, 4, 0, 4, 0, 0, 1, 2, 0, 4, 3, 0, 0, 1, 0, 1, 0, 2, 4, 4, 4, 4, 1, 1, 1, 0, 4, 1, 4, 1, 3, 0, 4, 0, 0, 1, 0, 4, 1, 0, 2, 1, 3, 1, 1, 3, 3, 1, 1, 0, 4, 4, 2, 0, 2, 0, 0, 2, 3, 0, 4, 0, 0, 2, 4, 3, 3, 2, 1, 2, 4, 4, 2, 4, 1, 1, 2, 0, 4, 1, 2, 1, 3, 0, 2, 3, 1, 1, 1, 3, 2, 0, 0, 4, 2, 3, 3, 4, 3, 3, 3, 0, 2, 2, 2, 1, 4, 2, 3, 0, 2, 2, 3, 3, 1, 2, 2]
pubkeycol1136 = [3, 1, 4, 3, 0, 3, 3, 3, 3, 2, 1, 0, 0, 1, 1, 3, 4, 2, 4, 0, 1, 0, 0, 3, 4, 1, 0, 3, 0, 3, 4, 2, 4, 3, 1, 3, 0, 3, 3, 0, 0, 1, 4, 3, 4, 4, 4, 2, 3, 0, 1, 3, 0, 4, 0, 3, 1, 4, 1, 3, 1, 4, 0, 2, 4, 0, 2, 2, 4, 0, 1, 0, 2, 3, 0, 3, 3, 1, 1, 0, 2, 2, 1, 3, 1, 3, 0, 2, 2, 3, 1, 4, 4, 3, 4, 1, 4, 2, 1, 1, 1, 4, 1, 3, 4, 4, 2, 4, 0, 3, 4, 0, 3, 2, 1, 0, 4, 0, 0, 3, 3, 3, 0, 3, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 3, 2, 2, 2, 2, 0, 3, 4, 3, 1, 4, 1, 1, 4, 4, 3, 1, 1, 1, 0, 3, 0, 4, 2, 0, 0, 4, 0, 4, 3, 4, 2, 3, 3, 1, 3, 0, 3, 3, 1, 4, 0, 3, 3, 3, 0, 2, 0, 3, 2, 4, 1, 3, 3, 4, 4, 3, 2, 1, 3, 2, 4, 2, 2, 2, 4, 0, 1, 3, 4, 2, 4, 4, 3, 2, 4, 2, 4, 3, 0, 2, 1, 2, 1, 1, 4, 0, 3, 2, 4, 2, 3, 4, 3, 0, 0, 2, 3, 4, 0, 1, 3, 2, 2, 3, 4, 4, 0, 4, 2, 1, 0, 1, 3, 2, 4, 4, 3, 1, 4, 1, 0, 1, 0, 0, 2, 0, 3, 3, 0, 0, 2, 1, 0, 1, 1, 3, 1, 2, 0, 3, 1, 3, 2, 1, 1, 4, 1, 0, 1, 1, 2, 1, 2, 3, 3, 3, 4, 0, 0, 2, 3, 3, 3, 2, 4, 2, 2, 4, 2, 4, 3, 1, 2, 2, 2, 3, 2, 3, 3, 0, 3, 4, 3, 4, 0, 4, 2, 3, 1, 1, 3, 4, 1, 1, 1, 4, 1, 1, 0, 1, 1, 2, 2, 4, 4, 2, 4, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 4, 2, 3, 0, 2, 4, 3, 1, 3, 0, 2, 0, 2, 0, 3, 0, 4, 1, 3, 1, 4, 1, 3, 1, 0, 4, 3, 3, 1, 2, 0, 3, 2, 4, 0, 0, 3, 2, 0, 4, 3, 3, 3, 2, 0]
pubkeycol1137 = [0, 4, 2, 3, 1, 3, 3, 0, 0, 4, 1, 3, 3, 4, 0, 4, 1, 0, 2, 4, 2, 1, 3, 4, 4, 1, 4, 2, 2, 3, 3, 0, 2, 2, 1, 3, 1, 4, 3, 3, 2, 0, 4, 2, 4, 3, 0, 3, 3, 3, 3, 2, 3, 0, 3, 2, 4, 4, 3, 1, 2, 1, 4, 2, 4, 2, 2, 1, 3, 4, 0, 3, 3, 3, 1, 4, 0, 3, 2, 1, 1, 0, 0, 2, 1, 4, 2, 4, 0, 2, 1, 1, 1, 4, 0, 1, 3, 2, 4, 4, 1, 3, 4, 4, 2, 3, 3, 4, 0, 3, 3, 0, 1, 3, 2, 0, 3, 4, 1, 4, 0, 3, 3, 0, 0, 0, 4, 4, 4, 1, 2, 2, 3, 0, 0, 4, 0, 2, 3, 1, 3, 3, 4, 2, 0, 4, 0, 2, 3, 3, 0, 2, 4, 1, 3, 4, 1, 1, 3, 0, 3, 3, 3, 1, 4, 1, 4, 4, 1, 1, 2, 1, 3, 3, 1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 4, 1, 4, 3, 4, 1, 4, 3, 0, 1, 3, 1, 2, 4, 2, 0, 0, 2, 1, 1, 0, 1, 3, 1, 3, 2, 2, 4, 1, 2, 0, 3, 3, 2, 3, 3, 1, 2, 1, 1, 4, 1, 0, 2, 3, 0, 0, 2, 4, 0, 3, 0, 3, 2, 1, 3, 2, 0, 3, 3, 3, 2, 0, 2, 3, 1, 2, 3, 0, 1, 3, 3, 1, 0, 4, 1, 1, 0, 3, 2, 2, 2, 1, 0, 3, 1, 0, 3, 0, 0, 1, 3, 4, 3, 0, 2, 2, 1, 3, 2, 3, 3, 4, 1, 4, 3, 1, 1, 0, 4, 4, 2, 2, 0, 2, 4, 2, 0, 2, 4, 2, 3, 3, 4, 0, 3, 4, 0, 3, 0, 2, 1, 4, 2, 3, 0, 4, 0, 2, 3, 3, 2, 2, 4, 4, 2, 1, 4, 2, 2, 1, 0, 1, 2, 3, 1, 4, 0, 3, 3, 0, 4, 4, 2, 4, 4, 2, 0, 4, 1, 1, 0, 2, 4, 1, 1, 1, 3, 3, 2, 1, 4, 2, 3, 0, 2, 1, 4, 4, 3, 4, 4, 1, 2, 2, 1, 4, 0, 2, 2, 4, 0, 3, 1, 2, 4, 1, 0, 1, 2, 4, 0, 0, 3, 1, 1]
pubkeycol1138 = [1, 1, 0, 0, 3, 3, 0, 4, 2, 2, 0, 2, 2, 4, 0, 2, 2, 3, 4, 2, 4, 2, 0, 1, 1, 1, 3, 4, 3, 2, 0, 1, 1, 4, 1, 3, 4, 2, 1, 0, 0, 4, 1, 3, 4, 0, 2, 1, 1, 3, 1, 4, 1, 4, 3, 1, 0, 1, 1, 4, 3, 3, 4, 0, 2, 2, 1, 1, 3, 1, 0, 0, 0, 1, 1, 1, 4, 1, 4, 2, 4, 2, 4, 2, 4, 2, 2, 1, 0, 0, 3, 1, 1, 4, 2, 0, 3, 2, 3, 4, 4, 4, 0, 2, 3, 4, 2, 0, 1, 3, 2, 3, 0, 2, 4, 1, 3, 0, 3, 3, 0, 0, 3, 1, 0, 4, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 3, 3, 3, 1, 2, 2, 1, 1, 2, 1, 0, 4, 4, 1, 0, 0, 4, 3, 3, 3, 4, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 3, 0, 1, 1, 3, 0, 2, 4, 4, 0, 1, 1, 4, 4, 0, 3, 2, 4, 4, 3, 2, 3, 4, 4, 1, 3, 3, 1, 0, 0, 2, 3, 4, 0, 1, 3, 4, 1, 2, 1, 3, 2, 0, 2, 4, 1, 1, 3, 3, 4, 4, 1, 4, 2, 1, 0, 0, 4, 4, 1, 4, 2, 3, 2, 3, 1, 1, 3, 4, 1, 4, 1, 1, 0, 2, 0, 4, 0, 2, 1, 2, 2, 0, 1, 1, 0, 3, 2, 4, 1, 2, 3, 2, 3, 0, 1, 1, 3, 1, 3, 0, 2, 4, 4, 2, 2, 3, 3, 4, 0, 3, 3, 0, 4, 0, 0, 2, 1, 0, 3, 4, 0, 2, 0, 0, 3, 3, 2, 0, 3, 4, 4, 1, 0, 0, 2, 3, 2, 1, 4, 3, 2, 2, 1, 3, 4, 4, 1, 3, 2, 0, 2, 0, 2, 0, 2, 4, 3, 2, 0, 3, 0, 3, 0, 3, 1, 4, 4, 2, 1, 4, 2, 2, 3, 4, 3, 2, 3, 0, 0, 3, 0, 1, 0, 4, 1, 3, 2, 3, 0, 1, 1, 4, 1, 1, 4, 3, 4, 4, 2, 1, 0, 1, 4, 3, 1, 2, 2, 2, 0, 4, 0, 4, 4, 1, 4, 2, 0, 2, 0, 3, 4, 2, 4, 2, 0, 4, 4, 0, 4, 1]
pubkeycol1139 = [0, 4, 3, 2, 4, 1, 3, 2, 2, 2, 1, 1, 3, 4, 2, 0, 1, 3, 2, 1, 4, 4, 2, 0, 4, 1, 0, 0, 1, 1, 3, 3, 2, 0, 4, 2, 0, 0, 3, 0, 2, 2, 0, 2, 4, 1, 4, 4, 3, 1, 0, 2, 1, 3, 1, 0, 2, 0, 4, 1, 3, 1, 1, 4, 3, 4, 3, 0, 3, 1, 1, 0, 0, 3, 0, 3, 0, 2, 4, 2, 4, 4, 1, 0, 4, 2, 0, 4, 4, 2, 2, 1, 1, 0, 4, 1, 4, 3, 1, 1, 3, 2, 0, 0, 3, 2, 1, 3, 4, 1, 0, 4, 0, 2, 3, 1, 1, 0, 3, 4, 3, 4, 0, 1, 2, 2, 3, 4, 4, 0, 1, 1, 4, 1, 1, 1, 4, 0, 2, 4, 4, 2, 4, 3, 3, 4, 3, 2, 3, 4, 2, 3, 0, 0, 2, 0, 0, 1, 3, 3, 0, 1, 0, 3, 1, 4, 4, 3, 4, 4, 4, 0, 3, 0, 3, 3, 2, 0, 0, 0, 0, 2, 3, 2, 1, 0, 4, 3, 4, 0, 4, 3, 2, 1, 2, 4, 1, 1, 3, 0, 4, 4, 4, 1, 0, 3, 2, 3, 0, 0, 2, 1, 1, 0, 4, 2, 2, 0, 1, 4, 3, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 1, 3, 2, 2, 3, 0, 0, 3, 2, 4, 0, 1, 2, 4, 4, 4, 3, 2, 0, 2, 0, 3, 3, 3, 1, 2, 4, 1, 4, 1, 2, 2, 2, 1, 0, 4, 4, 3, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 3, 0, 3, 0, 4, 3, 4, 2, 1, 1, 0, 1, 2, 3, 1, 0, 0, 1, 0, 3, 4, 1, 2, 2, 2, 0, 0, 4, 3, 3, 2, 2, 4, 2, 4, 0, 1, 2, 3, 1, 3, 1, 3, 0, 1, 4, 3, 1, 0, 3, 1, 1, 4, 4, 3, 2, 1, 3, 0, 4, 2, 0, 2, 4, 4, 0, 3, 4, 1, 0, 1, 3, 1, 1, 3, 1, 4, 1, 1, 3, 4, 0, 3, 3, 4, 3, 4, 2, 1, 3, 4, 2, 3, 1, 0, 0, 0, 4, 0, 3, 1, 1, 2, 0, 3, 0]
pubkeycol1140 = [1, 0, 3, 3, 2, 0, 2, 3, 2, 1, 3, 2, 2, 1, 4, 2, 3, 4, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 3, 0, 0, 4, 4, 1, 4, 4, 1, 0, 0, 4, 1, 0, 4, 0, 2, 2, 4, 3, 4, 3, 1, 0, 0, 0, 1, 0, 4, 1, 2, 3, 0, 2, 0, 1, 2, 3, 0, 3, 0, 2, 4, 4, 0, 4, 4, 3, 0, 1, 4, 2, 3, 1, 3, 3, 4, 4, 2, 4, 2, 4, 2, 4, 2, 4, 0, 0, 0, 3, 0, 0, 3, 1, 2, 2, 1, 4, 4, 0, 2, 3, 3, 0, 4, 4, 2, 0, 0, 4, 2, 3, 3, 1, 4, 1, 4, 3, 3, 1, 4, 2, 4, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 4, 3, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 3, 0, 0, 4, 0, 3, 3, 3, 3, 4, 1, 3, 2, 4, 1, 4, 1, 2, 0, 3, 3, 4, 1, 1, 3, 0, 3, 3, 3, 0, 4, 3, 2, 4, 4, 1, 1, 4, 2, 4, 4, 2, 0, 4, 0, 1, 4, 4, 0, 3, 3, 3, 2, 2, 0, 0, 0, 2, 4, 1, 4, 3, 4, 0, 4, 1, 4, 1, 4, 4, 2, 2, 0, 1, 2, 1, 4, 3, 1, 4, 3, 2, 4, 3, 4, 0, 4, 3, 0, 4, 2, 2, 1, 2, 3, 2, 1, 1, 1, 3, 3, 0, 3, 0, 2, 4, 4, 1, 4, 3, 3, 0, 3, 0, 2, 3, 3, 3, 4, 2, 0, 3, 0, 4, 4, 4, 1, 0, 1, 1, 3, 0, 3, 4, 2, 1, 3, 4, 1, 2, 0, 3, 4, 1, 4, 2, 3, 0, 3, 1, 3, 2, 0, 4, 1, 3, 4, 3, 2, 2, 4, 3, 3, 4, 4, 3, 2, 1, 1, 3, 2, 1, 0, 3, 3, 1, 3, 2, 2, 1, 3, 2, 4, 0, 2, 3, 0, 2, 0, 2, 1, 3, 0, 3, 3, 3, 3, 4, 3, 4, 4, 0, 0, 3, 4, 1, 3, 1, 1, 1, 3, 1, 4, 4, 1, 3, 3, 4, 4, 0, 2, 0, 4, 2, 2, 1, 1, 1, 1, 1, 1, 0, 4, 1, 3, 2, 2, 2, 3, 0, 2, 3]
pubkeycol1141 = [0, 0, 2, 0, 3, 2, 4, 4, 4, 1, 3, 1, 1, 3, 3, 2, 2, 4, 4, 0, 0, 3, 3, 4, 2, 0, 1, 3, 2, 4, 4, 2, 2, 4, 0, 3, 0, 0, 4, 1, 4, 3, 4, 1, 1, 3, 3, 3, 0, 4, 4, 4, 3, 4, 2, 3, 4, 2, 3, 2, 2, 4, 4, 4, 1, 2, 2, 0, 4, 1, 0, 1, 3, 2, 3, 1, 4, 2, 2, 3, 0, 4, 2, 0, 1, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 3, 1, 4, 0, 1, 2, 4, 3, 1, 4, 0, 0, 1, 3, 1, 1, 2, 3, 0, 1, 2, 4, 3, 1, 3, 3, 2, 0, 3, 2, 2, 3, 3, 4, 2, 4, 1, 1, 4, 3, 0, 2, 1, 4, 4, 3, 3, 2, 2, 1, 1, 2, 1, 1, 0, 4, 0, 3, 4, 0, 2, 3, 1, 3, 4, 0, 0, 4, 3, 2, 3, 0, 2, 0, 1, 2, 4, 0, 0, 1, 3, 0, 1, 2, 4, 3, 1, 1, 4, 3, 0, 4, 0, 3, 2, 3, 1, 4, 3, 3, 1, 4, 2, 3, 1, 0, 2, 2, 4, 3, 3, 4, 3, 4, 1, 4, 1, 1, 4, 1, 3, 0, 4, 3, 1, 4, 2, 2, 4, 1, 3, 2, 1, 3, 3, 2, 4, 2, 2, 0, 1, 3, 4, 0, 4, 1, 2, 2, 0, 3, 4, 2, 1, 1, 4, 1, 0, 0, 2, 1, 2, 3, 2, 1, 1, 1, 2, 2, 3, 2, 3, 0, 1, 1, 3, 1, 2, 1, 4, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 3, 2, 1, 0, 0, 4, 4, 1, 0, 1, 0, 0, 3, 2, 0, 2, 0, 2, 0, 0, 4, 2, 3, 2, 0, 2, 2, 1, 4, 4, 4, 3, 4, 1, 4, 1, 3, 4, 4, 1, 4, 3, 1, 1, 0, 3, 1, 0, 3, 4, 0, 0, 1, 4, 1, 3, 0, 4, 1, 2, 1, 0, 1, 0, 0, 0, 3, 1, 1, 3, 3, 0, 0, 2, 4, 0, 1, 0, 2, 2, 1, 3, 4, 1, 2, 2, 2, 0, 0, 2, 0, 3, 2, 0, 1, 1, 1, 3, 2, 3, 3, 0, 2, 3, 2, 0, 4, 3, 3, 3, 3, 1, 3, 3, 4]
pubkeycol1142 = [4, 4, 4, 2, 0, 3, 1, 2, 2, 3, 3, 2, 1, 4, 3, 2, 1, 1, 2, 3, 3, 3, 4, 2, 0, 1, 3, 3, 0, 0, 1, 3, 2, 1, 0, 1, 3, 4, 4, 0, 2, 2, 3, 0, 1, 0, 3, 4, 4, 1, 2, 3, 2, 2, 2, 4, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 1, 0, 3, 3, 1, 0, 4, 2, 3, 1, 4, 1, 4, 3, 0, 1, 4, 4, 1, 0, 3, 3, 3, 4, 3, 3, 0, 3, 3, 0, 2, 0, 2, 1, 0, 0, 1, 3, 4, 1, 2, 4, 3, 2, 0, 3, 4, 1, 2, 2, 3, 0, 0, 4, 0, 3, 2, 4, 2, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 4, 4, 0, 3, 1, 1, 0, 4, 3, 1, 3, 0, 1, 3, 2, 3, 4, 4, 2, 3, 1, 3, 0, 0, 2, 0, 2, 3, 0, 2, 4, 3, 4, 1, 3, 1, 4, 3, 2, 3, 2, 1, 3, 2, 0, 4, 3, 0, 2, 1, 2, 2, 3, 3, 1, 2, 4, 2, 4, 2, 1, 3, 2, 1, 3, 4, 2, 4, 4, 1, 0, 2, 2, 3, 2, 1, 1, 3, 2, 1, 4, 3, 3, 3, 4, 3, 4, 1, 0, 4, 2, 3, 2, 1, 4, 2, 0, 4, 1, 3, 1, 0, 4, 1, 1, 0, 4, 2, 1, 2, 3, 1, 0, 4, 2, 1, 2, 4, 0, 0, 4, 4, 2, 2, 1, 3, 2, 4, 1, 4, 0, 2, 4, 2, 3, 1, 3, 1, 2, 4, 4, 4, 2, 2, 4, 1, 0, 1, 0, 0, 3, 3, 4, 3, 0, 4, 1, 4, 1, 0, 0, 3, 1, 0, 1, 3, 3, 3, 0, 3, 0, 4, 3, 3, 3, 4, 3, 4, 0, 4, 0, 2, 1, 4, 1, 4, 2, 1, 4, 4, 3, 3, 4, 2, 1, 0, 2, 3, 2, 0, 1, 4, 1, 3, 2, 3, 1, 1, 3, 3, 1, 3, 3, 0, 1, 2, 1, 2, 1, 3, 3, 0, 1, 4, 4, 3, 2, 2, 3, 1, 1, 4, 4, 2, 3, 3, 4, 2, 3, 3, 3, 4, 1, 1, 3, 3, 4, 4, 1, 0, 3, 3, 3, 1, 0, 4, 0, 3, 2, 4]
pubkeycol1143 = [2, 1, 3, 0, 3, 3, 3, 3, 2, 3, 0, 2, 3, 3, 3, 4, 3, 1, 0, 4, 2, 4, 1, 1, 3, 3, 2, 2, 4, 4, 4, 3, 2, 3, 2, 4, 1, 2, 0, 3, 1, 3, 3, 4, 0, 2, 4, 0, 1, 1, 4, 1, 2, 3, 0, 2, 0, 0, 0, 4, 0, 1, 3, 4, 2, 3, 4, 1, 1, 3, 1, 4, 3, 3, 0, 2, 4, 4, 4, 4, 1, 2, 4, 1, 0, 1, 4, 1, 1, 2, 2, 4, 3, 4, 3, 0, 4, 3, 4, 2, 1, 1, 2, 2, 1, 3, 4, 3, 4, 0, 4, 0, 0, 2, 1, 4, 3, 1, 0, 0, 1, 2, 4, 4, 1, 0, 0, 3, 2, 4, 0, 0, 1, 3, 1, 2, 2, 2, 1, 0, 1, 3, 3, 3, 4, 1, 3, 3, 1, 2, 2, 4, 2, 0, 3, 4, 4, 2, 3, 2, 1, 1, 1, 3, 1, 2, 3, 3, 4, 4, 3, 2, 3, 0, 1, 3, 1, 2, 4, 2, 3, 0, 0, 0, 0, 0, 2, 1, 1, 4, 0, 1, 3, 1, 0, 4, 0, 3, 3, 1, 0, 1, 3, 4, 1, 3, 0, 0, 1, 4, 2, 0, 3, 0, 4, 3, 0, 3, 0, 0, 3, 4, 1, 3, 1, 0, 3, 0, 2, 3, 3, 2, 4, 2, 2, 0, 0, 4, 3, 4, 2, 2, 4, 1, 0, 1, 4, 1, 0, 4, 1, 2, 4, 0, 0, 1, 3, 3, 3, 1, 2, 1, 4, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 4, 4, 3, 3, 4, 2, 2, 2, 2, 4, 4, 3, 0, 0, 3, 3, 2, 1, 4, 1, 4, 0, 2, 0, 4, 0, 2, 3, 0, 2, 4, 0, 4, 1, 1, 3, 4, 1, 3, 1, 0, 1, 1, 2, 1, 3, 0, 0, 4, 2, 4, 2, 0, 3, 4, 3, 1, 3, 0, 3, 1, 0, 2, 0, 3, 4, 1, 1, 1, 0, 0, 1, 4, 2, 4, 4, 0, 1, 0, 4, 4, 4, 0, 3, 0, 1, 3, 4, 2, 2, 4, 0, 3, 3, 2, 1, 4, 2, 2, 1, 0, 3, 3, 2, 4, 1, 0, 1, 3, 1, 2, 0, 3, 2, 4, 0, 3, 1, 4, 1, 0, 2, 2, 0, 0, 1, 0]
pubkeycol1144 = [1, 1, 1, 0, 4, 3, 0, 4, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 4, 0, 4, 1, 0, 2, 2, 4, 4, 4, 3, 1, 4, 3, 0, 4, 4, 4, 3, 2, 3, 3, 4, 4, 0, 3, 0, 0, 2, 3, 0, 1, 1, 2, 1, 2, 4, 2, 0, 4, 2, 4, 0, 3, 2, 1, 3, 3, 2, 4, 4, 3, 1, 2, 0, 4, 3, 0, 3, 2, 2, 2, 4, 1, 0, 3, 4, 1, 3, 4, 3, 1, 2, 2, 0, 2, 4, 2, 2, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 4, 2, 1, 1, 2, 2, 4, 2, 4, 0, 4, 3, 0, 3, 0, 1, 1, 3, 1, 2, 4, 2, 0, 2, 0, 4, 1, 0, 4, 2, 1, 3, 1, 4, 4, 2, 4, 2, 1, 2, 2, 0, 1, 0, 3, 2, 3, 3, 2, 0, 0, 2, 0, 0, 2, 2, 2, 4, 2, 3, 0, 4, 1, 0, 3, 2, 1, 0, 1, 3, 4, 3, 0, 3, 2, 0, 0, 3, 4, 4, 4, 1, 2, 4, 4, 3, 0, 2, 4, 0, 4, 4, 2, 1, 1, 2, 2, 1, 4, 1, 2, 1, 1, 3, 0, 2, 2, 3, 1, 3, 0, 1, 4, 2, 3, 4, 3, 4, 2, 1, 0, 2, 1, 2, 2, 0, 3, 1, 2, 3, 4, 4, 3, 1, 4, 4, 1, 1, 0, 1, 0, 4, 1, 2, 4, 1, 2, 1, 4, 0, 1, 1, 2, 2, 4, 0, 4, 2, 3, 0, 2, 0, 3, 2, 0, 4, 1, 3, 4, 1, 2, 2, 4, 4, 0, 2, 2, 1, 1, 3, 4, 3, 2, 0, 4, 2, 4, 2, 3, 0, 1, 4, 3, 1, 4, 2, 3, 1, 0, 1, 0, 2, 0, 0, 4, 0, 0, 2, 4, 0, 2, 3, 2, 4, 1, 3, 1, 3, 1, 2, 2, 2, 0, 3, 1, 3, 3, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 4, 2, 2, 3, 1, 2, 3, 3, 4, 2, 0, 3, 2, 3, 3, 3, 3, 3, 3, 1, 0, 2, 4, 3, 2, 0, 2, 2, 3, 1, 4, 2, 4, 1, 0, 4, 0, 4, 2, 3, 0, 2, 3, 4, 2, 3, 2, 3, 4, 4, 3, 3, 3]
pubkeycol1145 = [4, 3, 1, 1, 3, 0, 1, 3, 1, 0, 3, 3, 0, 3, 2, 1, 0, 2, 4, 3, 1, 3, 2, 3, 1, 2, 3, 4, 1, 3, 0, 0, 0, 1, 3, 0, 3, 4, 1, 1, 2, 4, 0, 0, 3, 3, 2, 3, 1, 3, 0, 0, 1, 3, 3, 4, 3, 2, 2, 3, 2, 1, 0, 4, 2, 2, 0, 2, 4, 3, 4, 2, 3, 0, 3, 4, 3, 3, 1, 1, 2, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 4, 3, 0, 0, 1, 2, 0, 3, 2, 1, 2, 0, 4, 1, 1, 2, 0, 0, 1, 0, 0, 1, 3, 3, 3, 3, 3, 4, 2, 4, 2, 0, 1, 1, 1, 3, 1, 4, 3, 1, 3, 1, 4, 4, 2, 1, 2, 0, 3, 2, 3, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 3, 1, 3, 4, 4, 1, 3, 2, 1, 0, 1, 0, 2, 2, 3, 0, 4, 1, 1, 0, 3, 3, 3, 0, 3, 0, 4, 3, 2, 0, 0, 3, 3, 3, 0, 4, 1, 2, 1, 3, 4, 3, 0, 3, 3, 2, 4, 4, 2, 2, 0, 0, 1, 1, 0, 4, 4, 2, 3, 0, 3, 1, 0, 2, 0, 4, 3, 2, 0, 1, 1, 2, 1, 1, 1, 1, 3, 0, 1, 2, 1, 0, 2, 1, 0, 0, 4, 2, 3, 1, 3, 2, 2, 4, 2, 0, 0, 4, 3, 3, 1, 2, 1, 4, 3, 2, 4, 3, 3, 1, 1, 0, 2, 4, 4, 4, 2, 0, 2, 0, 3, 4, 0, 1, 2, 3, 2, 2, 1, 4, 3, 0, 4, 0, 4, 0, 0, 3, 0, 2, 4, 2, 1, 3, 3, 3, 0, 1, 3, 2, 1, 4, 4, 0, 0, 4, 4, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 4, 0, 3, 1, 4, 4, 3, 2, 0, 2, 2, 2, 0, 2, 4, 2, 1, 3, 1, 3, 0, 3, 1, 0, 4, 2, 4, 4, 0, 3, 4, 0, 3, 2, 1, 1, 0, 0, 4, 2, 2, 1, 4, 3, 1, 0, 3, 4, 2, 4, 0, 3, 3, 2, 2, 2, 2, 1, 2, 4, 4, 1, 2, 1, 2, 2, 3, 2, 4, 2, 4, 2, 2, 4, 3, 4, 4, 1]
pubkeycol1146 = [1, 2, 2, 1, 3, 0, 3, 4, 4, 2, 3, 3, 3, 3, 1, 4, 2, 4, 4, 2, 2, 1, 1, 3, 2, 2, 0, 3, 2, 4, 2, 4, 0, 3, 0, 2, 1, 2, 0, 4, 2, 2, 1, 1, 1, 1, 4, 3, 0, 4, 0, 3, 3, 4, 1, 2, 0, 3, 3, 3, 3, 2, 1, 2, 1, 4, 1, 1, 2, 4, 1, 3, 2, 0, 2, 1, 0, 3, 0, 1, 1, 1, 2, 2, 1, 1, 3, 4, 2, 0, 3, 2, 0, 3, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 4, 1, 1, 2, 1, 0, 0, 1, 1, 3, 3, 4, 1, 3, 0, 0, 0, 4, 2, 1, 4, 0, 2, 4, 1, 0, 4, 3, 3, 0, 3, 3, 4, 0, 3, 2, 4, 1, 3, 4, 0, 4, 1, 2, 3, 1, 3, 0, 3, 1, 0, 1, 3, 1, 3, 2, 0, 0, 2, 3, 0, 1, 1, 4, 3, 4, 1, 2, 2, 0, 2, 3, 0, 1, 2, 0, 1, 1, 2, 1, 3, 2, 2, 2, 4, 1, 1, 0, 0, 2, 1, 2, 0, 3, 2, 3, 4, 2, 3, 1, 2, 4, 4, 0, 2, 0, 2, 0, 2, 3, 2, 1, 1, 0, 2, 0, 2, 3, 2, 1, 0, 4, 1, 0, 2, 3, 2, 4, 3, 3, 1, 3, 1, 0, 4, 3, 1, 0, 0, 4, 4, 0, 0, 2, 2, 0, 1, 3, 1, 2, 0, 2, 1, 0, 4, 3, 3, 0, 0, 0, 3, 1, 0, 2, 3, 0, 3, 0, 1, 2, 1, 3, 4, 2, 2, 1, 3, 0, 0, 3, 2, 2, 3, 4, 2, 0, 2, 2, 0, 4, 4, 4, 4, 0, 0, 3, 3, 2, 3, 3, 1, 3, 2, 3, 1, 1, 0, 2, 1, 1, 4, 0, 4, 2, 4, 0, 4, 4, 1, 2, 1, 4, 0, 4, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 4, 3, 3, 2, 2, 3, 3, 2, 2, 0, 3, 2, 0, 1, 1, 4, 3, 3, 2, 0, 3, 4, 2, 3, 1, 0, 1, 1, 1, 4, 1, 1, 0, 3, 1, 1, 0, 1, 2, 0, 3, 1, 4, 2, 2, 4, 2, 1, 2, 2, 3, 4, 1, 4, 4, 1, 1, 0, 3, 1, 0, 0]
pubkeycol1147 = [2, 0, 2, 2, 3, 3, 2, 4, 2, 2, 3, 3, 1, 4, 1, 3, 4, 0, 4, 4, 0, 2, 3, 1, 2, 4, 3, 1, 0, 2, 3, 0, 0, 1, 4, 2, 2, 3, 0, 4, 4, 3, 0, 3, 1, 0, 2, 0, 2, 0, 4, 0, 3, 4, 2, 2, 2, 2, 3, 0, 1, 1, 0, 1, 3, 3, 1, 3, 1, 4, 3, 4, 4, 4, 2, 4, 2, 0, 4, 4, 2, 3, 2, 2, 4, 4, 2, 4, 2, 3, 4, 1, 3, 2, 1, 3, 4, 4, 2, 3, 1, 2, 4, 4, 3, 0, 1, 0, 3, 0, 4, 2, 1, 1, 2, 3, 0, 4, 2, 3, 1, 3, 1, 3, 3, 1, 2, 0, 3, 2, 1, 0, 4, 4, 1, 4, 0, 2, 4, 0, 3, 2, 1, 4, 0, 2, 0, 3, 3, 2, 0, 3, 2, 2, 2, 3, 0, 0, 1, 3, 0, 4, 2, 0, 3, 2, 2, 1, 3, 3, 2, 2, 2, 1, 3, 4, 3, 4, 0, 4, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 4, 3, 2, 2, 1, 0, 4, 2, 0, 0, 0, 4, 1, 4, 1, 4, 2, 4, 2, 1, 0, 2, 4, 3, 3, 0, 2, 2, 2, 1, 3, 3, 2, 2, 2, 1, 4, 1, 3, 3, 4, 1, 2, 4, 2, 1, 3, 4, 2, 4, 0, 4, 4, 3, 0, 4, 4, 3, 4, 0, 3, 3, 2, 3, 4, 4, 4, 0, 0, 1, 3, 1, 2, 3, 3, 1, 1, 3, 0, 1, 4, 0, 4, 0, 3, 0, 4, 2, 3, 3, 3, 0, 0, 0, 4, 2, 2, 1, 0, 2, 0, 2, 2, 1, 4, 1, 3, 4, 1, 0, 1, 0, 2, 1, 0, 3, 4, 1, 1, 1, 2, 2, 4, 3, 1, 0, 2, 3, 1, 4, 4, 2, 4, 2, 4, 0, 2, 2, 0, 2, 3, 4, 2, 3, 1, 4, 0, 0, 4, 2, 3, 2, 4, 1, 4, 0, 3, 2, 2, 1, 2, 3, 2, 2, 2, 1, 3, 2, 3, 4, 4, 2, 4, 1, 1, 0, 0, 4, 0, 2, 2, 4, 4, 0, 1, 2, 4, 4, 0, 3, 2, 2, 2, 3, 3, 2, 0, 2, 4, 1, 4, 0, 0, 1, 1, 2, 1, 2]
pubkeycol1148 = [1, 4, 2, 2, 2, 2, 0, 3, 4, 2, 0, 0, 4, 3, 2, 0, 2, 4, 3, 2, 2, 0, 1, 2, 3, 4, 0, 1, 1, 1, 2, 4, 0, 2, 3, 4, 4, 1, 0, 1, 0, 0, 4, 3, 4, 4, 4, 0, 2, 2, 1, 3, 3, 1, 0, 3, 3, 2, 4, 2, 4, 3, 1, 4, 4, 1, 1, 1, 0, 4, 2, 4, 4, 3, 0, 4, 4, 0, 3, 1, 3, 2, 1, 0, 4, 0, 0, 4, 1, 3, 4, 3, 4, 3, 3, 2, 3, 1, 0, 4, 2, 4, 2, 4, 4, 4, 2, 3, 1, 2, 0, 4, 4, 3, 3, 3, 0, 3, 3, 4, 1, 4, 3, 0, 3, 1, 1, 1, 2, 4, 0, 0, 4, 1, 0, 2, 1, 4, 4, 3, 2, 3, 0, 1, 3, 3, 2, 4, 0, 0, 3, 3, 4, 2, 3, 2, 4, 3, 3, 2, 3, 4, 0, 4, 1, 3, 3, 0, 3, 4, 4, 4, 0, 1, 1, 4, 4, 4, 2, 3, 1, 0, 0, 3, 4, 0, 0, 1, 0, 0, 1, 0, 1, 4, 1, 3, 3, 0, 2, 4, 1, 2, 0, 1, 0, 4, 1, 3, 3, 0, 1, 4, 4, 3, 0, 3, 1, 2, 4, 4, 1, 2, 2, 0, 1, 4, 4, 3, 2, 3, 2, 3, 0, 3, 4, 0, 4, 2, 0, 1, 4, 4, 1, 4, 1, 3, 3, 0, 1, 2, 3, 3, 3, 1, 1, 4, 1, 3, 0, 1, 2, 2, 2, 0, 4, 3, 3, 4, 4, 0, 3, 0, 0, 2, 0, 2, 2, 1, 4, 3, 0, 1, 0, 0, 3, 3, 1, 2, 0, 2, 1, 2, 3, 3, 4, 4, 0, 3, 4, 0, 1, 0, 0, 1, 4, 4, 3, 4, 0, 1, 1, 3, 3, 4, 3, 0, 3, 4, 1, 2, 2, 0, 1, 2, 3, 4, 1, 1, 0, 0, 4, 4, 0, 1, 3, 4, 1, 0, 4, 4, 4, 3, 0, 1, 3, 3, 3, 3, 3, 0, 3, 4, 0, 0, 4, 0, 3, 1, 1, 3, 2, 2, 0, 1, 1, 3, 2, 0, 2, 3, 3, 1, 4, 2, 0, 2, 0, 4, 3, 1, 0, 2, 3, 0, 1, 2, 0, 0, 3, 3, 3, 2, 1, 3, 0, 2, 0, 3, 3, 1]
pubkeycol1149 = [2, 1, 4, 4, 1, 3, 4, 3, 2, 1, 4, 0, 2, 1, 4, 1, 1, 2, 3, 0, 0, 4, 1, 0, 4, 4, 3, 2, 4, 1, 2, 3, 3, 2, 2, 3, 0, 4, 4, 0, 3, 1, 2, 1, 0, 3, 0, 4, 0, 4, 3, 2, 2, 1, 1, 3, 4, 1, 3, 3, 3, 4, 0, 3, 4, 3, 3, 3, 2, 2, 2, 0, 2, 0, 4, 0, 4, 3, 2, 2, 4, 0, 1, 3, 2, 1, 4, 2, 4, 2, 2, 3, 4, 4, 1, 4, 4, 2, 1, 2, 4, 0, 0, 1, 2, 4, 0, 4, 3, 1, 0, 2, 2, 4, 0, 3, 4, 3, 0, 2, 4, 2, 3, 4, 1, 0, 1, 0, 4, 4, 0, 1, 1, 2, 0, 3, 1, 1, 0, 3, 0, 4, 0, 2, 1, 1, 4, 2, 0, 0, 2, 1, 3, 1, 0, 2, 2, 3, 0, 1, 3, 0, 1, 4, 0, 1, 0, 1, 2, 4, 3, 3, 3, 1, 0, 1, 2, 0, 1, 2, 3, 1, 3, 4, 2, 1, 1, 4, 1, 3, 2, 4, 4, 3, 2, 1, 2, 4, 0, 1, 2, 2, 3, 1, 2, 2, 4, 4, 2, 1, 3, 3, 1, 1, 1, 2, 4, 3, 3, 4, 0, 2, 2, 3, 0, 1, 4, 1, 1, 1, 2, 1, 3, 4, 0, 3, 2, 0, 1, 4, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 4, 0, 1, 0, 0, 0, 2, 2, 2, 4, 1, 2, 1, 1, 4, 0, 1, 4, 4, 0, 3, 3, 0, 4, 1, 1, 3, 3, 0, 1, 3, 3, 0, 4, 0, 3, 2, 0, 3, 0, 3, 0, 2, 0, 4, 3, 2, 3, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 3, 3, 3, 3, 4, 4, 0, 0, 4, 4, 2, 0, 1, 1, 0, 2, 3, 2, 1, 1, 0, 4, 3, 0, 0, 3, 4, 4, 1, 4, 3, 2, 2, 1, 4, 1, 1, 4, 4, 0, 4, 3, 2, 0, 4, 1, 1, 4, 2, 1, 2, 2, 2, 2, 0, 0, 1, 4, 1, 2, 0, 4, 2, 2, 1, 3, 4, 0, 1, 2, 2, 0, 1, 1, 0, 3, 0, 0, 4, 0, 3, 2, 1, 3, 1, 3, 2, 1, 4, 0, 0]
pubkeycol1150 = [0, 3, 0, 1, 3, 2, 2, 0, 2, 0, 4, 1, 0, 0, 1, 3, 0, 2, 4, 2, 2, 2, 4, 3, 0, 3, 4, 0, 2, 3, 0, 3, 2, 4, 0, 3, 4, 3, 0, 3, 4, 3, 3, 2, 1, 1, 4, 3, 1, 2, 4, 2, 3, 4, 2, 3, 3, 3, 1, 0, 4, 2, 0, 2, 1, 2, 0, 4, 1, 1, 0, 1, 1, 4, 1, 0, 1, 4, 2, 4, 0, 4, 0, 2, 3, 0, 2, 0, 4, 3, 2, 3, 0, 1, 3, 4, 1, 2, 1, 1, 4, 0, 0, 3, 2, 3, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 4, 3, 2, 0, 0, 1, 3, 2, 4, 3, 2, 3, 0, 2, 1, 1, 1, 0, 0, 4, 1, 4, 2, 4, 1, 2, 4, 0, 4, 0, 4, 4, 2, 2, 0, 3, 3, 4, 3, 0, 3, 1, 3, 1, 3, 2, 2, 3, 1, 2, 3, 0, 2, 0, 0, 3, 4, 2, 2, 4, 2, 1, 2, 1, 4, 0, 2, 0, 2, 0, 4, 3, 3, 4, 4, 1, 2, 0, 4, 1, 4, 1, 1, 1, 2, 0, 4, 0, 2, 2, 3, 2, 1, 0, 1, 0, 4, 2, 0, 0, 1, 1, 4, 4, 3, 4, 3, 1, 2, 2, 1, 0, 3, 4, 0, 4, 1, 2, 0, 2, 0, 3, 1, 3, 4, 4, 2, 0, 3, 4, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 4, 3, 1, 1, 0, 4, 2, 1, 3, 2, 2, 1, 4, 2, 2, 1, 3, 4, 3, 3, 2, 4, 4, 2, 2, 1, 4, 3, 0, 4, 1, 2, 0, 0, 3, 1, 2, 2, 4, 4, 1, 2, 0, 3, 0, 0, 3, 3, 2, 1, 1, 0, 3, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 4, 3, 2, 2, 0, 3, 3, 2, 0, 2, 0, 2, 2, 2, 4, 2, 0, 1, 4, 3, 2, 1, 3, 1, 2, 4, 3, 3, 4, 0, 3, 3, 4, 1, 1, 2, 0, 3, 3, 1, 4, 0, 2, 3, 3, 0, 1, 2, 1, 4, 0, 4, 2, 1, 1, 4, 0, 2, 2, 3, 3, 2, 4, 1, 2, 2, 1, 3, 4, 4, 1, 1, 3, 3, 2]
pubkeycol1151 = [2, 0, 2, 0, 3, 3, 1, 3, 4, 3, 1, 4, 2, 4, 0, 1, 4, 2, 3, 4, 2, 3, 4, 3, 3, 0, 0, 0, 2, 0, 2, 2, 4, 4, 0, 4, 2, 2, 4, 3, 0, 0, 2, 3, 3, 3, 2, 0, 3, 2, 3, 1, 4, 1, 4, 3, 3, 0, 0, 3, 3, 0, 4, 2, 2, 2, 1, 3, 4, 3, 2, 0, 2, 0, 2, 4, 2, 2, 1, 4, 1, 1, 4, 2, 1, 4, 0, 2, 2, 4, 1, 1, 0, 3, 3, 3, 4, 4, 1, 2, 2, 0, 1, 4, 4, 2, 2, 2, 1, 4, 1, 0, 1, 3, 1, 3, 1, 4, 4, 2, 4, 4, 4, 3, 2, 4, 2, 2, 2, 4, 4, 0, 2, 2, 4, 1, 2, 4, 4, 0, 3, 3, 4, 4, 1, 4, 1, 1, 1, 0, 2, 1, 4, 2, 0, 4, 4, 4, 0, 1, 0, 4, 1, 2, 2, 3, 0, 0, 3, 2, 0, 2, 4, 3, 2, 3, 0, 3, 1, 3, 0, 4, 2, 3, 4, 3, 0, 0, 1, 0, 0, 1, 4, 2, 1, 2, 1, 3, 4, 4, 4, 2, 0, 3, 1, 1, 1, 4, 1, 3, 2, 2, 0, 4, 0, 3, 4, 2, 0, 2, 0, 1, 0, 1, 2, 3, 4, 4, 2, 4, 3, 1, 2, 3, 3, 3, 4, 3, 4, 2, 3, 1, 2, 4, 4, 3, 3, 4, 4, 1, 1, 1, 2, 2, 0, 3, 4, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 1, 4, 2, 3, 3, 0, 1, 4, 2, 2, 1, 4, 1, 0, 4, 1, 2, 4, 1, 1, 0, 1, 3, 4, 1, 0, 0, 3, 2, 1, 2, 0, 1, 3, 4, 2, 2, 3, 3, 3, 0, 0, 2, 4, 1, 4, 3, 3, 1, 4, 0, 1, 2, 4, 4, 3, 4, 1, 0, 0, 4, 3, 2, 0, 0, 0, 1, 1, 4, 4, 2, 0, 3, 4, 2, 1, 0, 1, 2, 2, 2, 0, 3, 0, 4, 1, 0, 2, 0, 0, 0, 1, 3, 2, 1, 1, 0, 4, 4, 4, 3, 3, 3, 0, 0, 1, 0, 4, 3, 3, 1, 4, 3, 0, 1, 4, 4, 3, 4, 4, 3, 4, 3, 4, 1, 3, 2, 4, 2, 3, 1, 2, 2]
pubkeycol1152 = [4, 2, 0, 2, 1, 3, 2, 1, 4, 0, 0, 1, 4, 4, 1, 0, 4, 1, 1, 3, 2, 3, 3, 0, 3, 3, 3, 2, 3, 2, 2, 1, 1, 2, 0, 2, 3, 2, 0, 1, 1, 3, 2, 2, 3, 0, 2, 0, 2, 3, 1, 1, 3, 0, 2, 4, 0, 0, 3, 4, 0, 4, 0, 4, 4, 1, 0, 0, 0, 2, 3, 3, 1, 4, 1, 3, 3, 1, 3, 3, 1, 3, 0, 1, 4, 4, 0, 3, 2, 1, 3, 0, 0, 4, 1, 0, 4, 3, 3, 1, 2, 0, 1, 0, 3, 4, 0, 4, 1, 3, 4, 4, 1, 3, 4, 1, 4, 1, 0, 4, 4, 3, 2, 2, 4, 3, 3, 2, 3, 0, 0, 3, 2, 0, 1, 0, 4, 3, 3, 4, 4, 3, 3, 1, 0, 1, 3, 3, 4, 4, 4, 1, 1, 4, 3, 3, 4, 1, 1, 3, 1, 2, 1, 0, 0, 3, 2, 0, 2, 2, 1, 3, 4, 1, 2, 4, 1, 0, 0, 1, 1, 3, 3, 2, 4, 1, 2, 2, 1, 3, 4, 1, 1, 2, 0, 4, 1, 3, 4, 4, 3, 4, 2, 2, 2, 2, 3, 3, 0, 0, 0, 0, 2, 0, 3, 3, 4, 1, 1, 4, 1, 4, 0, 1, 3, 2, 0, 0, 2, 1, 3, 3, 2, 2, 1, 0, 3, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 3, 1, 4, 4, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 0, 2, 1, 0, 1, 4, 1, 1, 1, 4, 2, 0, 0, 4, 1, 3, 3, 4, 4, 0, 1, 4, 3, 3, 4, 0, 2, 1, 4, 0, 1, 0, 1, 0, 1, 3, 3, 1, 4, 0, 0, 0, 4, 0, 1, 4, 4, 3, 0, 1, 1, 4, 3, 1, 4, 1, 4, 2, 4, 3, 0, 0, 4, 2, 3, 0, 0, 1, 1, 2, 4, 1, 2, 4, 0, 0, 0, 1, 2, 0, 0, 3, 1, 0, 4, 0, 3, 4, 1, 2, 2, 4, 4, 3, 0, 0, 1, 0, 1, 2, 1, 2, 4, 0, 3, 0, 3, 4, 0, 3, 2, 2, 1, 0, 4, 3, 3, 3, 1, 3, 1, 3, 3, 0, 0, 3, 2, 1, 1, 0, 4, 3, 4, 2, 3, 0, 2, 1, 2]
pubkeycol1153 = [2, 3, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 3, 2, 4, 0, 0, 0, 0, 4, 3, 1, 3, 1, 2, 4, 1, 2, 1, 4, 0, 1, 0, 2, 1, 2, 3, 4, 1, 2, 4, 2, 0, 1, 0, 3, 0, 4, 3, 1, 0, 0, 4, 3, 4, 3, 3, 1, 0, 1, 1, 2, 0, 4, 0, 0, 1, 3, 3, 3, 0, 0, 0, 3, 2, 0, 2, 3, 0, 2, 0, 4, 4, 4, 2, 3, 2, 0, 1, 1, 1, 0, 1, 3, 4, 2, 2, 4, 0, 0, 2, 0, 0, 3, 4, 0, 4, 0, 2, 2, 4, 2, 0, 3, 2, 1, 4, 0, 0, 0, 1, 4, 4, 0, 3, 0, 0, 2, 2, 1, 4, 0, 2, 4, 3, 2, 3, 2, 4, 0, 1, 3, 3, 0, 4, 2, 0, 2, 3, 1, 2, 3, 0, 0, 4, 4, 2, 4, 2, 1, 0, 4, 0, 0, 1, 3, 1, 0, 3, 4, 1, 4, 1, 4, 2, 4, 4, 2, 1, 2, 3, 1, 4, 0, 1, 3, 1, 2, 4, 0, 2, 2, 4, 4, 2, 0, 3, 1, 4, 2, 0, 3, 2, 3, 0, 4, 2, 0, 3, 3, 1, 1, 2, 4, 4, 0, 0, 4, 0, 3, 0, 4, 3, 0, 2, 3, 2, 0, 4, 2, 4, 1, 1, 0, 4, 4, 4, 2, 2, 4, 1, 0, 1, 2, 2, 4, 3, 3, 4, 2, 3, 4, 0, 2, 0, 1, 3, 0, 4, 3, 0, 0, 2, 1, 2, 2, 3, 0, 2, 3, 1, 0, 2, 3, 3, 1, 0, 1, 1, 2, 3, 0, 0, 3, 4, 3, 3, 0, 0, 0, 0, 2, 3, 0, 0, 2, 2, 1, 2, 0, 2, 3, 4, 4, 3, 4, 2, 2, 0, 3, 2, 0, 3, 1, 4, 3, 1, 2, 4, 4, 1, 0, 2, 4, 4, 1, 1, 0, 2, 4, 0, 3, 3, 0, 1, 3, 2, 4, 1, 3, 3, 0, 1, 3, 0, 3, 0, 4, 1, 2, 2, 1, 0, 2, 4, 4, 1, 3, 2, 3, 2, 2, 2, 3, 2, 0, 1, 1, 0, 0, 3, 2, 1, 4, 3, 0, 3, 4, 4, 0, 4, 0, 2, 2, 4, 1, 4, 4, 3, 4, 1, 0, 3, 3, 3, 3, 2, 0, 2]
pubkeycol1154 = [2, 2, 0, 3, 3, 1, 1, 3, 3, 4, 0, 3, 1, 3, 0, 2, 4, 4, 1, 3, 1, 0, 3, 4, 3, 4, 1, 0, 0, 2, 2, 2, 2, 0, 3, 4, 2, 1, 0, 4, 2, 0, 1, 0, 4, 3, 0, 4, 0, 3, 0, 2, 3, 1, 1, 3, 0, 0, 2, 2, 1, 0, 4, 1, 4, 2, 1, 2, 1, 3, 2, 2, 3, 2, 4, 3, 4, 1, 3, 3, 1, 0, 0, 3, 4, 1, 0, 2, 4, 1, 2, 4, 1, 1, 0, 3, 2, 4, 3, 4, 3, 2, 2, 4, 0, 2, 4, 2, 0, 1, 0, 1, 4, 1, 3, 4, 0, 3, 1, 2, 4, 2, 2, 0, 4, 0, 3, 0, 0, 2, 0, 1, 0, 1, 4, 1, 1, 0, 0, 1, 4, 0, 1, 2, 3, 3, 3, 1, 4, 3, 1, 4, 0, 0, 3, 3, 3, 1, 0, 3, 4, 1, 2, 4, 2, 0, 2, 3, 1, 3, 1, 1, 0, 2, 2, 4, 0, 0, 3, 4, 2, 1, 4, 1, 4, 3, 1, 4, 0, 0, 4, 4, 1, 2, 1, 0, 4, 2, 4, 3, 1, 2, 4, 4, 2, 3, 2, 0, 3, 4, 3, 1, 0, 0, 4, 2, 2, 3, 0, 1, 1, 4, 4, 2, 4, 2, 4, 0, 2, 1, 1, 4, 4, 1, 2, 0, 3, 0, 0, 2, 2, 3, 0, 1, 2, 4, 3, 2, 0, 1, 0, 2, 4, 2, 1, 3, 3, 3, 4, 0, 1, 0, 0, 1, 3, 0, 3, 2, 0, 2, 4, 4, 1, 4, 1, 4, 2, 2, 3, 3, 3, 4, 3, 4, 1, 3, 2, 0, 0, 0, 4, 3, 0, 1, 0, 1, 1, 2, 2, 3, 2, 4, 1, 2, 0, 4, 3, 1, 4, 0, 3, 2, 4, 1, 0, 2, 2, 3, 0, 2, 3, 0, 2, 2, 4, 4, 4, 3, 0, 2, 1, 1, 0, 1, 3, 0, 0, 4, 4, 4, 3, 1, 0, 3, 3, 0, 0, 2, 3, 0, 2, 2, 3, 1, 4, 4, 3, 3, 0, 0, 1, 0, 0, 0, 0, 4, 2, 1, 1, 0, 1, 1, 0, 3, 3, 0, 0, 3, 4, 3, 3, 3, 3, 4, 2, 1, 2, 1, 2, 1, 1, 4, 3, 2, 1, 2, 4, 4, 0, 4]
pubkeycol1155 = [1, 1, 1, 0, 4, 3, 4, 2, 0, 0, 1, 4, 3, 0, 4, 2, 1, 4, 0, 1, 4, 2, 0, 2, 1, 3, 2, 3, 0, 3, 4, 0, 4, 0, 1, 4, 4, 2, 1, 2, 0, 0, 1, 1, 3, 2, 3, 4, 0, 0, 3, 0, 2, 0, 3, 1, 2, 0, 0, 4, 3, 2, 3, 0, 1, 2, 3, 0, 0, 1, 1, 0, 1, 1, 0, 3, 4, 0, 1, 2, 4, 0, 4, 3, 4, 0, 3, 1, 1, 4, 2, 2, 3, 4, 1, 2, 3, 2, 1, 3, 2, 0, 2, 3, 0, 2, 4, 4, 1, 0, 0, 2, 2, 3, 0, 3, 4, 0, 0, 2, 3, 4, 0, 2, 2, 2, 1, 4, 0, 3, 3, 3, 3, 0, 1, 4, 1, 4, 0, 0, 3, 1, 2, 1, 3, 2, 1, 2, 2, 0, 1, 1, 3, 1, 2, 2, 2, 2, 0, 3, 1, 0, 0, 0, 4, 2, 2, 1, 4, 2, 1, 2, 0, 4, 0, 4, 1, 4, 0, 3, 1, 4, 1, 2, 2, 1, 4, 0, 1, 0, 3, 2, 3, 1, 2, 1, 0, 2, 3, 1, 4, 4, 3, 0, 3, 4, 4, 1, 4, 3, 3, 4, 3, 2, 4, 4, 3, 3, 1, 3, 1, 2, 1, 0, 3, 1, 4, 4, 2, 1, 4, 3, 3, 0, 1, 0, 1, 0, 4, 4, 2, 2, 4, 3, 3, 3, 1, 0, 4, 3, 4, 3, 1, 1, 1, 0, 3, 3, 2, 0, 1, 0, 4, 3, 0, 1, 3, 1, 4, 1, 2, 1, 2, 3, 0, 2, 4, 4, 4, 2, 1, 0, 2, 1, 1, 2, 2, 0, 4, 4, 0, 1, 0, 2, 2, 4, 1, 1, 0, 3, 2, 1, 0, 0, 0, 0, 4, 4, 0, 1, 3, 1, 0, 4, 1, 0, 0, 2, 1, 4, 4, 1, 0, 2, 4, 3, 0, 0, 2, 0, 0, 3, 1, 3, 2, 3, 2, 1, 0, 1, 3, 1, 0, 4, 3, 3, 0, 4, 4, 0, 4, 4, 3, 4, 1, 2, 2, 1, 2, 2, 1, 1, 4, 4, 3, 2, 1, 1, 3, 1, 1, 2, 4, 4, 1, 2, 1, 0, 3, 3, 0, 3, 0, 2, 0, 1, 2, 0, 3, 0, 3, 2, 2, 3, 3, 2, 1, 2, 0, 2]
pubkeycol1156 = [2, 3, 1, 4, 0, 4, 1, 1, 1, 2, 4, 3, 3, 2, 4, 4, 1, 4, 1, 0, 4, 0, 2, 2, 0, 2, 0, 0, 4, 1, 4, 4, 3, 3, 3, 0, 0, 2, 4, 0, 4, 2, 0, 1, 2, 3, 3, 3, 2, 1, 4, 2, 0, 2, 2, 0, 4, 0, 1, 0, 0, 3, 0, 0, 3, 1, 3, 0, 1, 0, 1, 1, 1, 3, 2, 1, 1, 3, 4, 2, 0, 3, 2, 4, 0, 2, 2, 4, 0, 3, 3, 1, 2, 1, 2, 4, 1, 0, 3, 0, 1, 0, 2, 0, 0, 3, 4, 0, 4, 0, 0, 1, 0, 2, 4, 2, 0, 2, 4, 0, 2, 4, 0, 4, 0, 1, 2, 0, 3, 2, 0, 4, 3, 1, 2, 1, 1, 3, 3, 1, 0, 2, 0, 1, 1, 0, 0, 4, 1, 4, 0, 2, 3, 2, 1, 0, 3, 1, 2, 2, 0, 0, 0, 4, 3, 0, 4, 1, 2, 4, 2, 2, 4, 3, 2, 1, 0, 3, 0, 3, 1, 1, 4, 4, 0, 4, 0, 4, 2, 1, 4, 4, 3, 0, 3, 3, 4, 0, 2, 3, 2, 3, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 3, 2, 0, 0, 0, 3, 2, 1, 4, 4, 3, 2, 3, 0, 0, 1, 0, 3, 0, 1, 1, 4, 4, 4, 0, 2, 4, 3, 4, 4, 1, 1, 0, 2, 4, 4, 3, 3, 4, 4, 4, 2, 2, 4, 1, 1, 2, 4, 4, 1, 0, 0, 1, 1, 3, 3, 1, 0, 2, 4, 1, 0, 1, 4, 1, 3, 3, 0, 3, 4, 2, 2, 0, 3, 4, 2, 0, 3, 3, 0, 1, 3, 3, 2, 0, 2, 3, 0, 1, 0, 4, 3, 0, 2, 1, 3, 2, 0, 0, 2, 4, 0, 3, 1, 3, 3, 3, 0, 1, 1, 1, 3, 1, 0, 0, 2, 1, 1, 0, 3, 2, 1, 0, 4, 4, 3, 1, 2, 3, 1, 3, 1, 2, 2, 1, 1, 0, 1, 3, 4, 0, 0, 2, 0, 1, 3, 2, 4, 2, 1, 2, 1, 1, 3, 2, 0, 4, 1, 0, 3, 2, 1, 1, 3, 2, 3, 1, 3, 0, 4, 2, 0, 1, 2, 4, 2, 3, 2, 1, 1, 4, 1, 1, 3, 0, 0, 0]
pubkeycol1157 = [1, 2, 2, 3, 2, 4, 0, 4, 4, 3, 4, 0, 2, 2, 4, 3, 4, 1, 3, 3, 2, 2, 2, 0, 4, 2, 3, 0, 3, 3, 1, 4, 1, 1, 2, 2, 1, 2, 3, 2, 0, 0, 4, 0, 4, 4, 1, 0, 2, 3, 0, 2, 0, 4, 1, 4, 4, 1, 2, 3, 3, 4, 2, 2, 2, 1, 2, 0, 3, 2, 4, 3, 1, 3, 1, 2, 3, 4, 0, 0, 1, 2, 3, 4, 1, 4, 2, 3, 2, 1, 1, 2, 0, 0, 2, 2, 2, 3, 0, 4, 4, 0, 4, 1, 4, 0, 1, 2, 3, 4, 3, 4, 2, 0, 1, 3, 3, 4, 1, 2, 4, 0, 3, 3, 1, 1, 2, 0, 3, 4, 4, 0, 0, 3, 2, 4, 0, 4, 4, 1, 1, 2, 2, 1, 4, 3, 2, 0, 3, 0, 2, 0, 2, 2, 3, 1, 0, 1, 1, 3, 4, 0, 4, 2, 3, 4, 3, 3, 0, 3, 2, 0, 2, 1, 2, 2, 4, 2, 2, 2, 2, 1, 0, 3, 1, 0, 1, 1, 3, 3, 3, 0, 1, 4, 1, 3, 0, 2, 4, 3, 2, 4, 3, 4, 3, 4, 2, 4, 0, 0, 0, 2, 1, 2, 2, 1, 0, 3, 3, 4, 2, 0, 1, 2, 4, 0, 1, 0, 4, 1, 2, 4, 4, 0, 1, 3, 0, 2, 1, 4, 4, 0, 4, 0, 1, 4, 1, 3, 2, 1, 4, 1, 1, 1, 1, 4, 4, 1, 3, 0, 3, 0, 3, 2, 3, 3, 1, 1, 1, 0, 1, 4, 4, 3, 1, 3, 2, 0, 2, 1, 2, 2, 3, 1, 0, 1, 1, 1, 1, 1, 3, 4, 4, 4, 4, 1, 4, 3, 3, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 2, 4, 2, 0, 4, 2, 3, 4, 1, 4, 3, 3, 1, 3, 2, 4, 0, 4, 2, 3, 4, 4, 1, 3, 4, 2, 3, 0, 1, 2, 1, 0, 4, 3, 0, 2, 0, 1, 0, 1, 4, 4, 1, 1, 1, 0, 3, 3, 1, 1, 1, 0, 2, 3, 2, 0, 4, 3, 4, 2, 4, 2, 3, 0, 0, 2, 1, 0, 3, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 4, 2, 0, 1, 1, 3, 4, 2, 4, 1, 3]
pubkeycol1158 = [4, 4, 4, 1, 2, 4, 4, 0, 2, 2, 2, 3, 4, 2, 2, 0, 4, 2, 0, 4, 0, 1, 4, 4, 1, 3, 0, 0, 0, 1, 4, 3, 1, 0, 1, 2, 2, 0, 2, 3, 4, 1, 0, 0, 2, 2, 0, 4, 1, 0, 1, 2, 1, 3, 3, 0, 4, 0, 1, 4, 3, 1, 1, 4, 1, 4, 1, 2, 0, 1, 0, 0, 0, 3, 4, 2, 0, 1, 0, 4, 0, 3, 3, 0, 4, 4, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 3, 4, 4, 4, 1, 2, 0, 3, 1, 1, 4, 0, 2, 3, 2, 3, 2, 4, 3, 0, 0, 1, 3, 4, 2, 4, 4, 4, 3, 4, 1, 4, 2, 0, 1, 0, 3, 0, 1, 1, 2, 2, 1, 4, 0, 2, 4, 1, 3, 4, 3, 2, 0, 1, 2, 4, 2, 0, 1, 4, 2, 3, 1, 0, 0, 4, 3, 4, 3, 2, 4, 0, 1, 3, 3, 1, 1, 1, 3, 4, 3, 4, 0, 4, 3, 3, 2, 3, 4, 4, 4, 2, 2, 4, 1, 1, 1, 0, 3, 2, 0, 4, 1, 1, 3, 1, 1, 0, 3, 0, 0, 4, 4, 2, 1, 4, 1, 2, 2, 0, 1, 2, 3, 2, 2, 3, 1, 1, 3, 3, 2, 2, 4, 4, 1, 1, 0, 2, 4, 0, 0, 2, 4, 3, 3, 0, 4, 0, 0, 0, 4, 1, 1, 0, 2, 0, 2, 2, 4, 0, 4, 3, 4, 4, 1, 2, 3, 0, 0, 0, 4, 3, 0, 3, 0, 1, 1, 0, 0, 4, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 3, 0, 4, 3, 2, 3, 2, 3, 4, 4, 4, 3, 2, 3, 2, 3, 3, 0, 4, 0, 1, 1, 2, 0, 3, 4, 0, 2, 3, 0, 1, 3, 1, 0, 0, 3, 1, 0, 2, 2, 1, 2, 2, 3, 4, 3, 4, 1, 0, 3, 2, 1, 3, 4, 1, 2, 0, 3, 0, 4, 2, 4, 1, 0, 0, 4, 2, 1, 1, 4, 3, 4, 2, 1, 3, 3, 3, 3, 2, 0, 1, 3, 2, 2, 2, 4, 0, 1, 2, 1, 0, 4, 4, 4, 3, 2, 1, 1, 3, 1, 0, 2, 0, 0, 0, 1, 3, 0, 1, 4]
pubkeycol1159 = [1, 0, 2, 0, 3, 1, 0, 2, 1, 3, 4, 3, 2, 3, 2, 4, 0, 2, 0, 2, 4, 4, 4, 0, 0, 4, 2, 0, 3, 1, 0, 0, 0, 4, 4, 3, 3, 1, 3, 0, 0, 0, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 2, 2, 3, 4, 0, 2, 2, 1, 2, 1, 4, 3, 2, 4, 4, 3, 0, 1, 0, 2, 1, 3, 4, 3, 3, 1, 0, 3, 3, 0, 3, 0, 4, 2, 2, 2, 3, 0, 2, 0, 2, 3, 3, 2, 3, 1, 0, 3, 1, 2, 4, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 1, 3, 0, 1, 3, 1, 3, 4, 0, 3, 1, 2, 2, 1, 2, 2, 1, 4, 1, 3, 2, 1, 1, 0, 1, 0, 2, 1, 3, 1, 0, 0, 2, 4, 1, 3, 0, 0, 0, 4, 0, 4, 3, 4, 3, 3, 1, 1, 2, 1, 3, 1, 4, 3, 3, 4, 4, 3, 3, 1, 1, 1, 0, 0, 0, 0, 1, 0, 4, 3, 2, 1, 0, 4, 3, 0, 2, 2, 3, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 4, 3, 3, 1, 4, 0, 2, 0, 2, 2, 2, 2, 4, 0, 1, 1, 1, 0, 0, 4, 4, 2, 0, 4, 2, 1, 4, 0, 0, 3, 2, 2, 4, 3, 1, 3, 1, 4, 4, 0, 4, 0, 1, 3, 3, 3, 3, 3, 4, 3, 1, 3, 1, 3, 3, 3, 1, 0, 4, 2, 1, 4, 2, 1, 4, 2, 1, 3, 1, 3, 2, 4, 0, 3, 2, 0, 0, 1, 0, 2, 1, 1, 0, 4, 2, 2, 4, 0, 0, 4, 4, 4, 1, 0, 3, 4, 1, 3, 4, 2, 2, 1, 1, 3, 4, 2, 4, 0, 1, 2, 1, 0, 1, 3, 0, 2, 1, 1, 3, 3, 0, 0, 1, 4, 3, 1, 4, 2, 1, 1, 2, 2, 0, 2, 4, 3, 0, 4, 4, 4, 3, 1, 2, 4, 2, 0, 0, 0, 1, 2, 2, 4, 0, 3, 0, 0, 1, 3, 4, 4, 1, 0, 0, 0, 4, 3, 2, 1, 3, 1, 4, 4, 3, 0, 2, 2, 3, 4, 2, 4, 4, 4, 4, 2, 1, 0, 1, 4, 1, 4, 1, 3, 0]
pubkeycol1160 = [4, 3, 1, 0, 1, 4, 0, 2, 4, 4, 3, 3, 3, 3, 3, 3, 2, 4, 2, 3, 2, 2, 4, 1, 4, 2, 3, 3, 4, 1, 3, 4, 4, 4, 3, 2, 1, 2, 0, 1, 0, 4, 4, 0, 2, 3, 4, 3, 0, 1, 4, 0, 4, 2, 1, 4, 0, 1, 3, 1, 0, 4, 2, 3, 2, 4, 0, 2, 4, 3, 2, 2, 4, 1, 3, 1, 1, 1, 1, 3, 4, 2, 4, 2, 4, 3, 1, 2, 4, 1, 0, 0, 2, 4, 3, 4, 4, 1, 1, 1, 1, 1, 0, 3, 3, 3, 3, 3, 2, 0, 1, 3, 3, 0, 0, 0, 3, 3, 3, 1, 2, 1, 2, 0, 2, 2, 2, 2, 3, 4, 2, 3, 0, 3, 3, 1, 2, 2, 1, 2, 2, 1, 0, 4, 0, 1, 2, 2, 2, 1, 1, 4, 1, 4, 3, 0, 2, 4, 4, 3, 3, 0, 2, 1, 1, 2, 1, 2, 4, 3, 2, 4, 4, 2, 3, 0, 4, 0, 3, 0, 4, 4, 0, 0, 1, 2, 2, 0, 1, 4, 2, 2, 2, 4, 2, 1, 4, 2, 0, 1, 3, 0, 1, 1, 3, 0, 2, 4, 1, 2, 2, 0, 4, 3, 2, 2, 3, 0, 4, 0, 0, 4, 4, 2, 3, 2, 3, 2, 0, 3, 2, 0, 3, 1, 1, 1, 0, 0, 2, 3, 4, 1, 2, 0, 1, 0, 1, 2, 0, 2, 4, 2, 0, 0, 2, 3, 4, 1, 2, 2, 1, 1, 0, 3, 2, 2, 4, 0, 1, 0, 4, 1, 0, 3, 0, 1, 0, 1, 3, 0, 2, 3, 3, 3, 0, 4, 4, 1, 4, 3, 1, 0, 2, 4, 1, 0, 3, 0, 1, 2, 0, 0, 3, 3, 0, 3, 3, 2, 4, 3, 4, 2, 4, 4, 4, 3, 0, 2, 2, 1, 1, 4, 3, 4, 1, 2, 3, 4, 0, 3, 1, 0, 3, 0, 4, 3, 4, 3, 1, 2, 3, 4, 4, 0, 0, 4, 1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 4, 0, 0, 2, 4, 2, 3, 4, 1, 0, 4, 3, 2, 1, 1, 0, 0, 4, 2, 2, 3, 3, 1, 4, 2, 3, 1, 3, 2, 1, 3, 0, 0, 0, 0, 2, 3, 1, 1, 0, 4, 3, 2, 1]
pubkeycol1161 = [0, 2, 3, 3, 3, 4, 0, 0, 2, 1, 1, 1, 2, 4, 3, 2, 4, 1, 2, 2, 1, 2, 1, 2, 4, 0, 1, 3, 0, 4, 1, 4, 4, 1, 0, 3, 4, 0, 0, 0, 2, 1, 0, 0, 4, 1, 4, 1, 3, 4, 0, 3, 1, 2, 2, 1, 2, 2, 3, 0, 3, 4, 1, 1, 1, 2, 4, 2, 2, 4, 1, 1, 3, 4, 1, 1, 1, 4, 2, 2, 3, 0, 1, 1, 2, 3, 3, 2, 4, 1, 2, 1, 0, 3, 0, 2, 1, 0, 4, 3, 3, 2, 4, 1, 3, 2, 0, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 0, 3, 2, 1, 4, 2, 1, 4, 3, 3, 0, 0, 1, 2, 0, 2, 1, 0, 3, 4, 2, 0, 3, 0, 2, 3, 2, 4, 0, 0, 2, 1, 3, 3, 2, 0, 1, 1, 3, 4, 0, 0, 1, 2, 4, 1, 2, 4, 3, 1, 3, 3, 1, 0, 3, 0, 1, 4, 3, 3, 1, 2, 1, 2, 1, 3, 4, 0, 0, 2, 2, 4, 1, 2, 3, 3, 3, 4, 0, 2, 1, 4, 4, 0, 1, 1, 2, 4, 2, 0, 0, 0, 1, 2, 1, 2, 2, 3, 2, 4, 2, 1, 2, 2, 2, 3, 3, 2, 4, 0, 2, 1, 3, 2, 3, 4, 1, 4, 2, 2, 2, 0, 2, 0, 0, 2, 4, 3, 1, 1, 1, 1, 2, 1, 4, 2, 1, 4, 3, 3, 0, 1, 0, 1, 3, 1, 1, 2, 4, 1, 1, 4, 3, 1, 4, 1, 4, 3, 3, 0, 1, 1, 0, 2, 1, 3, 0, 0, 2, 4, 1, 0, 4, 0, 0, 4, 0, 4, 3, 3, 1, 3, 0, 2, 1, 1, 1, 3, 2, 1, 3, 3, 2, 3, 1, 0, 1, 3, 3, 3, 2, 0, 0, 3, 2, 3, 4, 2, 2, 0, 1, 3, 2, 0, 0, 0, 4, 0, 0, 2, 0, 4, 3, 1, 1, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 4, 0, 0, 4, 1, 4, 1, 4, 1, 4, 4, 2, 3, 3, 2, 0, 0, 2, 0, 4, 4, 4, 4, 0, 3, 2, 3, 0, 4, 4, 3, 4, 4, 0, 0, 4, 4, 0, 4, 2, 2, 2, 0, 0, 2, 3, 2, 1]
pubkeycol1162 = [4, 4, 4, 3, 1, 3, 3, 1, 2, 0, 0, 1, 1, 2, 4, 3, 2, 3, 0, 2, 0, 3, 4, 3, 4, 3, 0, 0, 1, 3, 3, 1, 1, 3, 0, 1, 4, 0, 0, 1, 4, 1, 3, 2, 0, 4, 2, 1, 2, 3, 1, 4, 3, 0, 3, 3, 4, 4, 1, 3, 2, 4, 0, 3, 1, 2, 2, 0, 0, 0, 0, 1, 3, 0, 3, 4, 4, 4, 4, 3, 0, 1, 0, 3, 0, 4, 1, 2, 0, 4, 4, 4, 4, 0, 2, 3, 3, 0, 3, 3, 1, 0, 2, 1, 0, 1, 2, 2, 4, 0, 3, 1, 2, 1, 1, 0, 2, 4, 1, 4, 1, 3, 3, 2, 0, 2, 4, 3, 3, 4, 4, 0, 1, 2, 3, 0, 0, 1, 1, 1, 0, 0, 0, 1, 3, 1, 1, 4, 3, 4, 3, 3, 0, 0, 1, 4, 4, 1, 4, 3, 2, 2, 2, 2, 3, 2, 1, 4, 3, 0, 1, 0, 4, 3, 2, 1, 0, 1, 3, 2, 3, 4, 1, 4, 3, 2, 2, 4, 1, 0, 1, 3, 1, 4, 2, 2, 2, 1, 0, 2, 2, 1, 0, 3, 1, 1, 3, 3, 0, 1, 1, 4, 4, 4, 0, 3, 3, 3, 0, 3, 2, 4, 0, 1, 3, 0, 3, 2, 4, 2, 2, 3, 0, 3, 3, 3, 0, 2, 3, 2, 0, 2, 2, 2, 0, 1, 3, 4, 3, 3, 1, 4, 0, 4, 0, 2, 2, 0, 3, 0, 0, 2, 0, 0, 2, 2, 0, 4, 4, 2, 0, 0, 2, 4, 3, 2, 0, 1, 2, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 2, 0, 4, 2, 3, 0, 4, 4, 1, 3, 1, 0, 4, 3, 2, 4, 3, 0, 1, 2, 4, 1, 2, 2, 0, 4, 1, 2, 3, 4, 2, 2, 1, 4, 2, 2, 4, 2, 0, 4, 2, 0, 0, 0, 3, 4, 4, 4, 2, 2, 3, 4, 0, 2, 0, 2, 1, 2, 3, 0, 2, 4, 0, 2, 3, 2, 4, 2, 1, 0, 1, 1, 1, 1, 4, 2, 0, 0, 0, 0, 3, 0, 3, 2, 3, 2, 4, 2, 0, 4, 2, 3, 4, 1, 2, 0, 1, 3, 2, 2, 2, 0, 4, 0, 4, 2, 2, 0, 0, 0, 1]
pubkeycol1163 = [2, 1, 4, 1, 2, 1, 0, 3, 2, 2, 2, 4, 0, 0, 0, 0, 0, 2, 2, 1, 3, 3, 1, 4, 0, 0, 1, 1, 2, 0, 4, 2, 4, 4, 2, 2, 1, 2, 0, 4, 3, 0, 1, 4, 1, 2, 1, 2, 2, 1, 4, 3, 0, 2, 1, 2, 0, 0, 0, 4, 1, 2, 3, 4, 2, 0, 2, 0, 0, 3, 3, 1, 1, 2, 1, 4, 2, 3, 4, 0, 1, 4, 4, 2, 1, 4, 4, 0, 4, 4, 0, 0, 4, 4, 1, 3, 4, 1, 0, 0, 1, 3, 4, 3, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 3, 2, 4, 4, 2, 1, 2, 3, 1, 4, 3, 4, 2, 1, 0, 2, 1, 2, 1, 1, 4, 1, 1, 3, 3, 3, 3, 0, 2, 4, 2, 2, 3, 1, 1, 4, 0, 3, 2, 1, 1, 2, 4, 3, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 3, 4, 2, 3, 0, 2, 3, 1, 1, 1, 2, 0, 3, 2, 0, 3, 3, 3, 0, 4, 0, 2, 4, 1, 1, 4, 3, 1, 4, 1, 1, 4, 3, 2, 4, 3, 1, 2, 1, 0, 0, 2, 2, 3, 0, 4, 2, 3, 0, 2, 4, 0, 4, 4, 2, 2, 2, 4, 3, 4, 1, 0, 0, 3, 3, 0, 3, 1, 1, 4, 2, 4, 3, 1, 4, 4, 4, 2, 1, 0, 3, 0, 2, 1, 0, 2, 1, 2, 0, 3, 0, 3, 1, 2, 4, 4, 3, 3, 3, 1, 2, 2, 3, 3, 4, 0, 1, 4, 2, 2, 4, 3, 4, 0, 4, 4, 4, 2, 4, 2, 4, 0, 3, 2, 4, 2, 1, 4, 0, 4, 4, 3, 1, 1, 0, 3, 2, 3, 1, 3, 0, 0, 2, 0, 0, 0, 3, 1, 2, 1, 0, 3, 4, 2, 3, 2, 1, 3, 1, 4, 0, 0, 0, 2, 3, 1, 4, 3, 1, 3, 4, 0, 2, 3, 4, 0, 0, 4, 2, 0, 0, 3, 3, 4, 4, 1, 0, 0, 3, 3, 1, 2, 4, 1, 2, 3, 0, 1, 1, 4, 0, 1, 0, 3, 3, 3, 4, 4, 2, 0, 2, 4, 1, 2, 4, 0, 4, 3, 4, 0, 2, 1, 3, 2, 2, 0, 1, 0, 0, 2, 2]
pubkeycol1164 = [2, 1, 3, 2, 1, 4, 2, 4, 1, 0, 0, 3, 2, 1, 1, 0, 4, 0, 1, 1, 4, 2, 0, 1, 2, 3, 4, 0, 2, 2, 3, 2, 2, 0, 0, 2, 3, 2, 3, 3, 3, 3, 4, 0, 1, 0, 4, 0, 4, 3, 2, 1, 3, 3, 4, 4, 0, 2, 3, 1, 3, 2, 3, 3, 4, 4, 2, 0, 2, 0, 4, 4, 3, 0, 2, 2, 0, 4, 1, 0, 4, 4, 0, 3, 2, 4, 4, 0, 4, 3, 3, 0, 3, 2, 1, 1, 2, 3, 1, 0, 0, 0, 3, 1, 2, 0, 3, 3, 0, 1, 4, 3, 0, 3, 4, 1, 2, 1, 3, 2, 2, 3, 2, 2, 1, 4, 2, 3, 3, 3, 3, 3, 2, 3, 0, 2, 3, 4, 0, 4, 0, 2, 3, 0, 1, 4, 4, 4, 3, 0, 4, 0, 2, 3, 1, 3, 0, 2, 1, 1, 4, 3, 4, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 3, 2, 3, 1, 3, 0, 1, 2, 1, 0, 4, 4, 4, 3, 3, 2, 3, 2, 4, 3, 0, 0, 3, 4, 1, 0, 0, 2, 2, 4, 3, 3, 0, 2, 3, 2, 3, 2, 1, 0, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 3, 4, 4, 1, 4, 4, 2, 1, 0, 2, 2, 4, 2, 4, 4, 0, 2, 0, 3, 0, 0, 3, 4, 4, 3, 3, 2, 1, 2, 4, 0, 4, 1, 1, 3, 4, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 4, 4, 4, 2, 4, 2, 3, 1, 0, 1, 2, 1, 3, 4, 1, 4, 4, 0, 4, 4, 2, 2, 3, 0, 0, 3, 4, 1, 0, 4, 0, 1, 4, 2, 1, 1, 3, 1, 4, 3, 0, 1, 2, 4, 1, 0, 0, 0, 1, 4, 2, 4, 1, 0, 1, 4, 4, 2, 0, 1, 4, 2, 1, 0, 4, 4, 1, 3, 2, 2, 0, 3, 4, 1, 4, 1, 2, 0, 0, 3, 4, 0, 0, 2, 3, 4, 1, 3, 4, 3, 4, 1, 1, 2, 0, 0, 0, 2, 3, 1, 4, 2, 3, 3, 2, 4, 4, 0, 4, 3, 1, 2, 0, 4, 3, 1, 4, 0, 0, 3, 4, 2, 1, 1, 0, 4, 1, 4, 4, 2, 2]
pubkeycol1165 = [0, 1, 2, 4, 3, 0, 4, 2, 2, 0, 3, 0, 4, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 4, 0, 2, 4, 2, 0, 2, 0, 3, 4, 3, 4, 2, 3, 3, 3, 1, 1, 0, 3, 4, 3, 3, 2, 3, 1, 4, 0, 2, 2, 4, 1, 4, 2, 0, 0, 3, 0, 1, 4, 1, 4, 1, 3, 0, 2, 4, 4, 0, 4, 4, 3, 2, 0, 3, 0, 4, 2, 1, 0, 1, 1, 4, 0, 0, 2, 0, 1, 4, 1, 1, 3, 2, 3, 1, 3, 4, 1, 3, 0, 1, 1, 4, 2, 2, 4, 1, 4, 0, 2, 2, 0, 0, 4, 4, 2, 2, 3, 1, 1, 2, 2, 4, 2, 0, 0, 3, 0, 3, 0, 3, 2, 1, 2, 3, 0, 0, 3, 2, 4, 2, 3, 1, 0, 3, 3, 4, 2, 0, 1, 0, 3, 1, 3, 1, 3, 0, 0, 4, 0, 0, 0, 0, 0, 2, 3, 4, 4, 0, 2, 1, 1, 1, 2, 2, 4, 2, 3, 2, 3, 1, 4, 3, 0, 0, 0, 1, 3, 2, 0, 2, 4, 1, 2, 2, 2, 3, 4, 2, 2, 0, 0, 3, 1, 1, 0, 3, 3, 0, 1, 0, 1, 1, 4, 0, 4, 2, 0, 0, 3, 1, 1, 3, 4, 2, 3, 3, 3, 3, 1, 0, 3, 0, 2, 0, 1, 1, 2, 2, 0, 0, 4, 4, 3, 3, 0, 3, 4, 1, 3, 2, 3, 2, 2, 1, 0, 0, 3, 4, 0, 3, 4, 3, 3, 1, 3, 3, 1, 4, 3, 4, 1, 3, 2, 0, 1, 0, 4, 2, 3, 4, 2, 2, 2, 2, 2, 1, 2, 3, 2, 4, 2, 3, 1, 0, 0, 1, 3, 2, 0, 0, 3, 3, 3, 1, 4, 4, 4, 0, 3, 4, 4, 4, 0, 3, 3, 2, 2, 0, 1, 4, 0, 1, 4, 3, 0, 3, 1, 3, 2, 2, 1, 0, 1, 2, 2, 0, 0, 4, 3, 1, 3, 0, 4, 2, 3, 0, 3, 1, 3, 4, 4, 3, 1, 2, 1, 0, 3, 2, 4, 4, 3, 2, 3, 3, 3, 2, 0, 1, 0, 1, 2, 2, 1, 4, 0, 4, 0, 1, 2, 2, 4, 3, 0, 0, 1, 4, 4, 3, 0, 0]
pubkeycol1166 = [4, 3, 4, 2, 0, 0, 3, 4, 4, 2, 2, 4, 3, 0, 2, 0, 1, 3, 4, 4, 4, 1, 4, 3, 4, 3, 3, 2, 2, 4, 0, 2, 3, 4, 1, 4, 2, 1, 0, 0, 4, 0, 2, 3, 3, 4, 1, 2, 4, 1, 2, 3, 4, 3, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 4, 3, 3, 4, 1, 1, 4, 1, 3, 2, 2, 3, 3, 1, 3, 2, 2, 0, 4, 1, 3, 2, 2, 1, 4, 3, 2, 1, 1, 2, 2, 2, 2, 4, 4, 0, 1, 4, 3, 4, 1, 3, 4, 4, 2, 0, 4, 2, 2, 0, 3, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 4, 0, 4, 4, 2, 2, 1, 3, 2, 3, 3, 0, 0, 4, 2, 2, 1, 0, 2, 0, 1, 2, 3, 3, 2, 0, 3, 3, 2, 1, 2, 1, 3, 0, 3, 0, 4, 1, 4, 2, 2, 4, 4, 2, 4, 1, 4, 3, 2, 2, 0, 2, 2, 4, 2, 4, 4, 0, 0, 4, 0, 2, 3, 1, 4, 2, 1, 0, 2, 2, 1, 4, 4, 2, 4, 4, 4, 3, 3, 3, 1, 2, 4, 1, 1, 3, 0, 1, 3, 2, 0, 1, 4, 0, 2, 0, 2, 2, 4, 0, 4, 2, 2, 0, 3, 1, 0, 1, 3, 4, 1, 2, 2, 3, 1, 4, 1, 4, 0, 4, 4, 3, 4, 1, 1, 0, 1, 0, 3, 2, 2, 0, 0, 2, 4, 4, 4, 2, 0, 3, 4, 3, 2, 3, 0, 4, 3, 4, 2, 2, 0, 0, 1, 0, 4, 0, 2, 2, 3, 1, 0, 3, 0, 0, 0, 2, 4, 0, 1, 3, 3, 2, 0, 2, 0, 3, 2, 4, 2, 2, 4, 4, 3, 3, 1, 4, 2, 1, 2, 2, 0, 0, 1, 4, 3, 4, 1, 0, 4, 2, 1, 4, 2, 2, 1, 0, 1, 2, 2, 3, 0, 4, 0, 4, 1, 1, 2, 1, 3, 0, 3, 1, 4, 2, 4, 2, 1, 4, 3, 2, 4, 1, 1, 4, 2, 1, 2, 1, 3, 1, 4, 1, 0, 4, 2, 2, 2, 0, 3, 0, 0, 2, 1, 4, 4, 1, 2, 4, 3, 4, 1, 4, 4, 1, 3, 0, 3, 3, 2, 3, 2]
pubkeycol1167 = [3, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 3, 3, 2, 4, 4, 1, 3, 1, 0, 3, 3, 4, 3, 1, 2, 4, 2, 1, 2, 4, 3, 4, 3, 4, 3, 2, 1, 2, 2, 0, 0, 4, 0, 2, 0, 4, 1, 1, 4, 1, 0, 2, 0, 1, 2, 1, 3, 1, 0, 0, 1, 1, 1, 1, 4, 4, 3, 2, 0, 0, 3, 1, 4, 3, 1, 0, 2, 1, 4, 0, 2, 0, 2, 4, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 4, 1, 1, 1, 2, 3, 1, 4, 1, 3, 4, 4, 2, 1, 1, 3, 3, 2, 4, 2, 3, 2, 3, 2, 0, 0, 0, 3, 3, 4, 3, 0, 2, 2, 1, 0, 4, 0, 1, 1, 1, 1, 4, 2, 4, 0, 2, 0, 1, 0, 2, 4, 4, 2, 3, 3, 4, 2, 3, 0, 3, 2, 1, 2, 0, 1, 4, 1, 1, 4, 4, 2, 0, 2, 0, 3, 3, 4, 3, 4, 1, 0, 1, 0, 3, 3, 0, 1, 2, 2, 4, 4, 2, 2, 4, 2, 4, 2, 2, 0, 3, 0, 2, 3, 2, 3, 1, 3, 3, 3, 3, 1, 4, 3, 3, 4, 0, 0, 3, 2, 4, 1, 1, 0, 2, 1, 1, 2, 3, 3, 4, 1, 0, 1, 3, 2, 0, 1, 4, 4, 4, 0, 4, 2, 4, 4, 2, 4, 1, 4, 3, 4, 3, 2, 4, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 3, 0, 1, 1, 2, 2, 3, 0, 3, 3, 3, 2, 2, 0, 2, 4, 4, 0, 0, 3, 2, 4, 3, 4, 3, 4, 0, 4, 3, 2, 0, 1, 3, 0, 1, 1, 0, 1, 2, 3, 2, 2, 1, 2, 2, 3, 3, 4, 2, 3, 1, 2, 1, 0, 4, 0, 2, 2, 3, 0, 0, 4, 3, 0, 4, 3, 1, 1, 1, 0, 1, 1, 3, 4, 2, 0, 1, 0, 0, 1, 3, 2, 4, 0, 1, 0, 0, 2, 1, 1, 0, 4, 0, 2, 0, 2, 1, 3, 2, 1, 0, 2, 4, 3, 2, 1, 2, 4, 3, 1, 0, 2, 2, 3, 0, 0, 0, 2, 2, 4, 0, 2, 0, 2, 1, 0, 0, 4, 2, 4, 0, 4, 0, 3, 4, 2, 0, 0]
pubkeycol1168 = [2, 4, 2, 3, 2, 3, 2, 3, 4, 2, 2, 1, 0, 4, 3, 1, 2, 2, 2, 0, 2, 4, 4, 4, 1, 2, 4, 4, 0, 1, 1, 0, 1, 4, 1, 1, 4, 0, 3, 4, 4, 1, 2, 3, 2, 3, 4, 1, 1, 0, 2, 3, 2, 3, 0, 3, 0, 4, 2, 3, 1, 0, 3, 1, 0, 4, 3, 4, 4, 2, 0, 2, 4, 4, 2, 0, 1, 3, 4, 4, 4, 3, 2, 3, 3, 1, 1, 3, 3, 4, 2, 4, 1, 4, 3, 2, 0, 1, 3, 4, 4, 1, 0, 1, 1, 2, 1, 3, 2, 0, 0, 0, 2, 0, 3, 3, 4, 0, 0, 1, 0, 3, 3, 0, 2, 4, 4, 4, 3, 1, 0, 2, 3, 3, 0, 1, 2, 4, 1, 0, 3, 1, 0, 2, 2, 1, 0, 1, 4, 1, 4, 0, 3, 2, 1, 2, 0, 0, 1, 4, 4, 1, 3, 3, 4, 0, 0, 0, 4, 4, 4, 2, 1, 0, 0, 3, 3, 3, 0, 4, 0, 0, 2, 1, 3, 0, 1, 0, 4, 3, 4, 0, 2, 4, 0, 2, 0, 0, 4, 1, 1, 1, 0, 3, 3, 0, 3, 1, 1, 0, 1, 4, 0, 4, 0, 3, 2, 1, 1, 0, 3, 4, 0, 1, 3, 3, 0, 4, 0, 3, 3, 3, 1, 3, 0, 3, 3, 1, 1, 4, 2, 3, 3, 1, 2, 0, 4, 2, 0, 3, 0, 4, 0, 1, 2, 4, 4, 1, 3, 2, 2, 4, 0, 4, 4, 2, 2, 2, 2, 4, 4, 1, 3, 0, 0, 0, 2, 3, 4, 2, 0, 1, 4, 4, 1, 3, 0, 1, 1, 4, 4, 3, 1, 2, 2, 3, 0, 3, 3, 3, 0, 4, 2, 1, 3, 0, 1, 2, 3, 1, 2, 4, 1, 1, 0, 2, 4, 3, 4, 4, 2, 0, 3, 2, 4, 0, 2, 1, 0, 4, 0, 0, 4, 0, 3, 2, 1, 4, 2, 4, 1, 0, 2, 3, 2, 0, 1, 3, 2, 3, 1, 4, 0, 3, 1, 0, 2, 0, 2, 0, 4, 2, 4, 1, 4, 4, 1, 2, 2, 0, 3, 3, 3, 4, 2, 4, 2, 2, 3, 1, 3, 4, 0, 0, 0, 0, 0, 3, 0, 1, 4, 1, 3, 1, 3, 4, 0, 1, 3, 3]
pubkeycol1169 = [0, 1, 2, 2, 3, 1, 4, 2, 1, 1, 1, 3, 2, 2, 1, 1, 0, 0, 1, 4, 4, 0, 1, 2, 1, 4, 3, 4, 3, 3, 3, 1, 4, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 3, 1, 2, 1, 3, 2, 0, 4, 0, 0, 0, 2, 3, 2, 3, 4, 1, 4, 0, 3, 1, 4, 1, 2, 2, 3, 0, 4, 2, 3, 2, 0, 4, 3, 3, 3, 3, 0, 4, 4, 2, 0, 1, 0, 1, 1, 1, 2, 3, 0, 4, 0, 4, 0, 4, 3, 2, 0, 4, 3, 4, 4, 4, 0, 1, 3, 3, 1, 0, 3, 4, 4, 4, 4, 3, 0, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 3, 1, 1, 3, 3, 0, 4, 1, 4, 3, 4, 0, 2, 0, 1, 4, 4, 1, 0, 1, 0, 4, 0, 0, 4, 3, 4, 1, 3, 4, 3, 0, 3, 3, 1, 2, 2, 1, 0, 3, 4, 3, 3, 2, 2, 0, 2, 4, 4, 3, 1, 3, 4, 0, 4, 2, 2, 4, 4, 0, 1, 4, 0, 4, 3, 1, 4, 4, 3, 0, 1, 0, 0, 0, 3, 4, 1, 4, 0, 1, 4, 4, 1, 0, 3, 4, 4, 2, 3, 2, 2, 0, 1, 4, 4, 2, 1, 2, 2, 0, 4, 4, 3, 1, 1, 0, 0, 4, 2, 3, 3, 1, 2, 2, 0, 4, 2, 1, 4, 0, 4, 1, 2, 3, 4, 1, 1, 2, 4, 1, 1, 3, 3, 2, 2, 0, 0, 4, 3, 4, 0, 0, 0, 0, 0, 4, 4, 3, 4, 0, 0, 1, 0, 1, 0, 4, 0, 0, 3, 4, 1, 1, 0, 1, 3, 3, 1, 3, 3, 2, 3, 3, 0, 1, 4, 0, 0, 2, 3, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 4, 2, 4, 4, 1, 1, 0, 1, 4, 1, 2, 1, 2, 2, 4, 0, 4, 1, 0, 0, 0, 3, 4, 0, 4, 3, 2, 4, 1, 1, 2, 0, 4, 0, 4, 3, 4, 4, 0, 2, 2, 3, 3, 3, 0, 3, 1, 0, 0, 0, 4, 0, 0, 2, 2, 2, 2, 3, 4, 0, 2, 2, 4, 0, 4, 4, 4, 3, 1, 2, 4, 0, 4, 2, 4]
pubkeycol1170 = [4, 0, 1, 1, 0, 2, 2, 4, 0, 1, 4, 4, 3, 0, 4, 3, 4, 2, 3, 4, 0, 2, 3, 3, 1, 2, 4, 3, 0, 1, 1, 4, 4, 0, 3, 3, 0, 2, 4, 2, 0, 0, 3, 4, 3, 3, 0, 4, 4, 2, 2, 2, 4, 1, 0, 1, 4, 1, 3, 0, 1, 1, 4, 0, 3, 2, 2, 3, 3, 1, 3, 2, 4, 4, 0, 0, 1, 2, 0, 0, 4, 4, 1, 4, 1, 0, 3, 3, 2, 0, 2, 3, 1, 3, 4, 1, 3, 4, 4, 2, 1, 2, 0, 0, 1, 4, 1, 2, 3, 1, 4, 0, 4, 3, 4, 0, 1, 4, 1, 4, 3, 0, 2, 4, 4, 3, 2, 4, 4, 4, 2, 4, 0, 4, 4, 2, 1, 4, 3, 3, 3, 3, 4, 2, 3, 4, 4, 2, 0, 2, 0, 1, 3, 2, 4, 0, 3, 0, 4, 0, 0, 2, 4, 3, 3, 0, 0, 2, 1, 2, 0, 1, 0, 3, 4, 2, 2, 4, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 3, 0, 4, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 3, 0, 1, 4, 3, 2, 4, 0, 4, 0, 3, 2, 0, 3, 0, 4, 0, 4, 2, 3, 3, 2, 4, 1, 4, 4, 3, 0, 2, 4, 4, 0, 4, 1, 0, 1, 0, 1, 3, 3, 2, 3, 0, 1, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 0, 2, 1, 2, 0, 2, 2, 4, 2, 2, 1, 3, 0, 2, 4, 2, 3, 2, 3, 1, 2, 2, 0, 2, 4, 2, 1, 3, 0, 1, 4, 2, 4, 2, 4, 3, 3, 2, 1, 4, 3, 2, 0, 2, 3, 1, 2, 4, 0, 2, 0, 3, 1, 1, 1, 4, 0, 2, 1, 1, 2, 1, 2, 0, 4, 2, 3, 4, 4, 1, 4, 4, 2, 4, 3, 3, 4, 1, 4, 1, 1, 4, 4, 2, 3, 1, 1, 4, 3, 0, 3, 0, 4, 0, 3, 3, 4, 1, 2, 3, 3, 2, 1, 4, 1, 0, 3, 1, 4, 3, 4, 1, 0, 3, 3, 2, 4, 0, 3, 2, 0, 1, 4, 1, 2, 4, 0, 1, 3, 4, 4, 3, 2, 4, 1, 3, 1, 0, 3, 4, 0]
pubkeycol1171 = [0, 3, 0, 0, 4, 3, 2, 3, 4, 4, 3, 0, 4, 3, 3, 4, 3, 1, 1, 0, 0, 4, 4, 0, 2, 1, 1, 3, 1, 0, 0, 1, 3, 4, 1, 0, 1, 4, 0, 1, 4, 0, 1, 1, 1, 4, 0, 3, 2, 3, 2, 1, 1, 4, 2, 0, 3, 4, 0, 4, 2, 0, 4, 3, 4, 4, 2, 2, 1, 3, 4, 0, 1, 1, 2, 0, 2, 4, 3, 0, 1, 2, 2, 1, 0, 2, 4, 4, 2, 2, 0, 2, 3, 2, 4, 1, 3, 0, 2, 1, 1, 1, 4, 3, 3, 1, 2, 1, 1, 0, 1, 0, 1, 0, 3, 0, 3, 1, 0, 1, 2, 4, 2, 0, 4, 2, 0, 1, 3, 3, 3, 3, 0, 0, 2, 0, 1, 0, 4, 4, 4, 3, 2, 0, 0, 0, 1, 1, 3, 2, 2, 0, 4, 2, 1, 0, 1, 4, 0, 2, 2, 2, 0, 3, 1, 2, 1, 1, 4, 1, 4, 3, 0, 4, 2, 3, 3, 1, 2, 0, 1, 1, 4, 2, 1, 4, 2, 0, 1, 4, 1, 1, 0, 1, 0, 1, 2, 4, 1, 1, 1, 3, 2, 0, 3, 2, 0, 1, 2, 0, 0, 2, 4, 2, 1, 1, 3, 2, 3, 4, 3, 3, 1, 3, 0, 1, 2, 4, 3, 0, 4, 1, 3, 2, 4, 0, 2, 0, 0, 4, 0, 1, 0, 2, 1, 1, 2, 3, 2, 4, 1, 3, 1, 0, 3, 1, 0, 1, 0, 4, 1, 3, 4, 1, 1, 1, 0, 0, 0, 3, 4, 1, 4, 3, 4, 2, 0, 4, 0, 1, 0, 1, 3, 4, 4, 3, 0, 2, 2, 1, 3, 4, 4, 0, 4, 2, 2, 0, 4, 0, 0, 3, 4, 2, 4, 1, 3, 0, 3, 2, 1, 3, 0, 2, 3, 4, 4, 4, 0, 4, 4, 3, 1, 1, 0, 3, 4, 1, 2, 2, 1, 4, 3, 0, 2, 1, 0, 2, 0, 0, 0, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 4, 3, 4, 0, 3, 0, 2, 4, 4, 1, 2, 4, 2, 4, 4, 0, 1, 3, 0, 0, 0, 2, 1, 0, 3, 1, 0, 0, 1, 3, 0, 2, 0, 1, 1, 0, 0, 2, 3, 2, 3, 3, 2, 1, 4, 3, 1, 3, 3]
pubkeycol1172 = [3, 1, 0, 2, 0, 1, 3, 0, 4, 4, 0, 4, 4, 0, 3, 2, 1, 0, 0, 4, 0, 2, 2, 2, 1, 2, 0, 4, 1, 1, 4, 0, 1, 3, 1, 1, 1, 1, 0, 1, 2, 3, 2, 4, 0, 2, 1, 0, 1, 2, 2, 1, 0, 3, 3, 2, 4, 1, 2, 2, 3, 0, 3, 2, 2, 0, 4, 4, 2, 0, 3, 1, 2, 0, 3, 1, 2, 2, 4, 1, 1, 1, 0, 0, 4, 4, 3, 4, 4, 3, 0, 1, 2, 3, 4, 2, 3, 3, 3, 0, 1, 1, 1, 4, 2, 1, 0, 1, 3, 1, 3, 0, 3, 0, 4, 2, 0, 1, 3, 3, 1, 1, 4, 0, 0, 0, 3, 0, 1, 4, 1, 3, 3, 3, 0, 2, 4, 4, 4, 1, 4, 2, 4, 0, 3, 1, 0, 2, 3, 3, 0, 0, 2, 1, 3, 2, 3, 4, 4, 1, 1, 1, 3, 4, 0, 2, 3, 1, 3, 0, 3, 4, 3, 2, 0, 2, 4, 3, 3, 0, 1, 2, 3, 3, 0, 2, 3, 0, 1, 2, 3, 3, 2, 4, 2, 0, 4, 0, 3, 1, 1, 4, 2, 2, 0, 0, 1, 3, 4, 3, 2, 3, 1, 2, 1, 0, 3, 3, 0, 1, 0, 2, 1, 4, 2, 2, 0, 2, 4, 1, 0, 3, 1, 3, 1, 3, 1, 4, 2, 2, 2, 4, 2, 2, 3, 1, 3, 1, 0, 4, 3, 4, 2, 0, 4, 3, 3, 1, 1, 0, 0, 2, 4, 0, 2, 2, 2, 3, 3, 1, 4, 1, 2, 0, 4, 3, 0, 2, 0, 0, 2, 1, 4, 4, 4, 0, 2, 0, 3, 4, 4, 3, 2, 3, 4, 4, 4, 4, 1, 3, 4, 0, 3, 0, 3, 0, 1, 2, 2, 4, 3, 2, 1, 2, 2, 3, 0, 3, 0, 1, 0, 3, 2, 3, 1, 2, 2, 1, 3, 4, 3, 0, 0, 4, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 4, 1, 1, 2, 2, 1, 0, 1, 4, 3, 3, 3, 1, 3, 1, 1, 3, 0, 2, 3, 1, 4, 0, 3, 2, 3, 0, 4, 3, 1, 2, 3, 2, 0, 1, 0, 0, 1, 4, 0, 3, 0, 1, 0, 4, 1, 4, 1, 0, 4, 1, 0, 3, 0, 2, 2]
pubkeycol1173 = [1, 1, 1, 3, 4, 4, 2, 0, 1, 2, 0, 2, 2, 4, 0, 4, 0, 4, 1, 0, 2, 4, 2, 2, 4, 4, 0, 1, 3, 0, 2, 4, 3, 1, 4, 2, 1, 2, 3, 0, 1, 2, 4, 3, 4, 2, 0, 3, 0, 1, 2, 2, 2, 0, 4, 1, 0, 2, 3, 4, 2, 0, 3, 2, 0, 2, 4, 2, 4, 1, 1, 0, 3, 4, 4, 0, 3, 3, 3, 1, 4, 1, 3, 2, 0, 0, 2, 0, 4, 3, 2, 0, 4, 4, 3, 3, 4, 1, 3, 3, 0, 4, 1, 4, 3, 2, 1, 1, 3, 2, 3, 2, 0, 3, 2, 1, 3, 0, 4, 2, 1, 1, 4, 1, 1, 3, 1, 2, 3, 4, 1, 2, 2, 4, 4, 2, 2, 3, 1, 1, 2, 0, 2, 2, 0, 2, 0, 3, 0, 0, 0, 1, 2, 0, 0, 3, 3, 3, 0, 4, 0, 0, 4, 2, 3, 2, 3, 2, 0, 0, 3, 1, 4, 3, 0, 2, 4, 1, 0, 1, 0, 0, 2, 2, 4, 4, 3, 2, 1, 3, 4, 0, 2, 1, 4, 2, 0, 4, 0, 1, 3, 3, 1, 3, 4, 1, 4, 2, 0, 2, 3, 0, 4, 2, 2, 1, 0, 1, 1, 0, 3, 2, 0, 3, 3, 4, 0, 0, 3, 3, 4, 3, 3, 4, 2, 4, 0, 2, 0, 1, 0, 4, 3, 0, 0, 1, 2, 4, 0, 4, 1, 3, 4, 0, 4, 2, 2, 3, 1, 4, 2, 2, 3, 0, 4, 3, 0, 0, 4, 3, 3, 3, 2, 1, 3, 0, 4, 2, 2, 1, 0, 1, 1, 4, 1, 2, 2, 0, 3, 1, 0, 0, 3, 2, 3, 4, 4, 4, 1, 4, 0, 1, 0, 0, 3, 4, 2, 2, 3, 4, 4, 0, 4, 0, 3, 3, 1, 2, 3, 4, 4, 2, 0, 1, 1, 3, 1, 0, 2, 4, 3, 2, 0, 3, 3, 4, 4, 3, 1, 1, 0, 2, 3, 3, 2, 0, 4, 0, 2, 4, 4, 4, 1, 3, 2, 2, 4, 1, 4, 1, 3, 1, 0, 1, 3, 0, 2, 3, 3, 1, 4, 4, 2, 1, 3, 2, 0, 0, 0, 0, 2, 4, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 4, 2, 3, 1, 1, 2, 3, 0]
pubkeycol1174 = [1, 4, 3, 2, 3, 4, 3, 0, 1, 2, 3, 0, 0, 2, 2, 4, 4, 1, 1, 3, 4, 2, 0, 0, 0, 3, 2, 4, 3, 1, 4, 0, 4, 0, 4, 2, 4, 4, 3, 1, 1, 2, 4, 3, 2, 4, 3, 0, 3, 1, 4, 2, 1, 3, 4, 4, 2, 3, 4, 2, 4, 3, 4, 4, 3, 1, 4, 1, 3, 4, 2, 4, 1, 4, 1, 0, 3, 3, 4, 2, 1, 4, 2, 3, 4, 4, 1, 4, 3, 4, 3, 0, 0, 2, 0, 2, 2, 2, 1, 0, 3, 0, 2, 4, 0, 3, 0, 1, 1, 4, 4, 0, 3, 1, 0, 2, 0, 2, 1, 0, 0, 3, 1, 4, 1, 1, 0, 4, 3, 1, 1, 2, 2, 0, 3, 4, 1, 3, 2, 0, 1, 2, 2, 3, 3, 1, 4, 4, 2, 1, 0, 0, 3, 3, 3, 0, 2, 1, 4, 2, 4, 1, 3, 1, 4, 1, 3, 2, 3, 3, 4, 3, 0, 1, 2, 1, 1, 4, 0, 2, 3, 4, 3, 0, 3, 3, 2, 3, 3, 2, 0, 0, 1, 3, 0, 4, 4, 2, 3, 4, 3, 2, 4, 3, 3, 1, 1, 1, 3, 4, 3, 4, 3, 3, 1, 1, 2, 1, 1, 3, 2, 0, 4, 3, 0, 3, 1, 2, 2, 0, 0, 3, 3, 0, 4, 1, 4, 4, 3, 0, 4, 4, 3, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 4, 2, 1, 2, 3, 4, 3, 3, 2, 2, 2, 3, 2, 0, 0, 2, 1, 2, 2, 3, 1, 4, 4, 0, 0, 3, 2, 4, 3, 1, 1, 1, 3, 1, 2, 0, 3, 3, 0, 4, 1, 1, 2, 1, 3, 4, 1, 4, 1, 0, 3, 3, 0, 4, 0, 0, 0, 4, 1, 4, 4, 3, 2, 1, 1, 4, 0, 4, 3, 4, 1, 1, 3, 1, 1, 3, 0, 4, 3, 3, 4, 3, 2, 3, 0, 3, 2, 1, 2, 3, 3, 3, 2, 4, 0, 4, 3, 4, 1, 4, 1, 1, 4, 2, 0, 2, 0, 3, 2, 3, 0, 0, 3, 4, 0, 0, 1, 1, 4, 0, 3, 4, 4, 3, 1, 3, 2, 3, 0, 2, 0, 0, 2, 2, 3, 3, 0, 3, 1, 3, 1, 1]
pubkeycol1175 = [2, 3, 2, 3, 4, 1, 3, 0, 3, 0, 0, 3, 2, 3, 3, 3, 1, 4, 0, 1, 0, 0, 1, 3, 2, 4, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 4, 4, 3, 4, 4, 2, 4, 0, 3, 0, 3, 2, 1, 2, 0, 3, 2, 1, 4, 0, 4, 3, 4, 2, 2, 2, 3, 2, 0, 3, 0, 0, 1, 0, 0, 1, 4, 3, 4, 3, 3, 3, 1, 0, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 0, 2, 1, 4, 2, 1, 4, 3, 1, 3, 4, 3, 2, 1, 1, 1, 3, 3, 1, 4, 1, 1, 1, 0, 3, 3, 1, 1, 1, 1, 0, 3, 4, 3, 0, 2, 3, 0, 2, 0, 3, 3, 0, 3, 1, 4, 1, 0, 0, 4, 0, 2, 4, 1, 2, 4, 0, 2, 0, 0, 1, 3, 1, 3, 0, 3, 1, 4, 4, 1, 4, 2, 3, 0, 2, 4, 0, 0, 0, 4, 0, 1, 2, 1, 3, 0, 1, 3, 1, 4, 0, 4, 1, 4, 0, 3, 3, 3, 3, 1, 3, 3, 1, 3, 2, 4, 0, 1, 3, 0, 0, 4, 4, 2, 0, 2, 4, 2, 3, 3, 4, 2, 2, 4, 3, 2, 3, 2, 4, 2, 2, 4, 3, 1, 3, 3, 2, 4, 2, 0, 2, 4, 2, 2, 1, 4, 2, 1, 1, 0, 0, 0, 1, 1, 3, 4, 2, 2, 2, 3, 0, 1, 3, 0, 1, 3, 4, 4, 2, 4, 3, 4, 2, 3, 2, 4, 4, 2, 4, 2, 4, 0, 2, 4, 2, 2, 1, 2, 3, 1, 2, 1, 3, 0, 0, 0, 3, 2, 4, 2, 4, 2, 3, 0, 2, 4, 4, 0, 0, 0, 3, 3, 1, 4, 0, 1, 2, 1, 3, 2, 1, 1, 1, 0, 3, 1, 2, 1, 2, 4, 2, 4, 0, 0, 3, 2, 1, 0, 1, 4, 0, 3, 2, 2, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 4, 0, 2, 1, 2, 3, 2, 3, 0, 2, 3, 4, 0, 1, 0, 3, 3, 1, 4, 3, 3, 2, 0, 0, 0, 4, 2, 0, 0, 4, 1, 0, 4, 2, 3, 2, 2, 3, 3, 0, 0, 2, 2, 4, 3, 4, 3, 1, 2, 1, 0, 1, 4, 4]
pubkeycol1176 = [3, 3, 3, 2, 3, 2, 0, 3, 2, 0, 4, 3, 4, 3, 3, 1, 2, 4, 1, 2, 1, 0, 2, 4, 4, 3, 4, 4, 1, 1, 2, 1, 2, 4, 0, 1, 1, 0, 1, 4, 4, 0, 0, 2, 2, 2, 4, 0, 4, 0, 0, 2, 4, 3, 4, 1, 0, 0, 4, 0, 2, 0, 3, 1, 3, 0, 1, 2, 3, 2, 1, 4, 1, 1, 2, 0, 4, 2, 4, 0, 4, 1, 0, 2, 4, 4, 2, 0, 4, 1, 1, 2, 3, 0, 2, 3, 1, 0, 2, 4, 1, 2, 0, 2, 1, 1, 2, 0, 4, 1, 0, 0, 2, 1, 2, 2, 0, 1, 4, 2, 4, 1, 4, 4, 1, 2, 0, 3, 0, 0, 2, 4, 0, 2, 3, 3, 3, 3, 1, 2, 1, 3, 4, 4, 4, 0, 2, 2, 4, 2, 1, 2, 3, 1, 3, 4, 3, 0, 0, 2, 1, 1, 2, 3, 0, 4, 2, 0, 2, 3, 1, 2, 4, 1, 2, 0, 0, 1, 0, 1, 4, 3, 3, 0, 0, 2, 1, 0, 3, 1, 4, 0, 4, 1, 0, 4, 0, 2, 4, 3, 4, 3, 1, 2, 1, 2, 3, 3, 0, 3, 3, 3, 1, 0, 1, 3, 1, 3, 1, 3, 1, 4, 1, 2, 1, 2, 0, 1, 4, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 4, 1, 2, 0, 0, 2, 3, 3, 1, 1, 4, 4, 0, 3, 3, 3, 1, 1, 2, 3, 0, 1, 2, 0, 2, 4, 2, 4, 0, 0, 4, 1, 2, 2, 3, 0, 2, 3, 0, 2, 1, 0, 2, 3, 0, 4, 4, 2, 3, 1, 3, 3, 3, 2, 4, 2, 3, 4, 2, 4, 1, 3, 2, 1, 3, 0, 2, 0, 3, 3, 4, 4, 0, 1, 0, 1, 2, 2, 4, 3, 4, 1, 3, 1, 4, 3, 4, 2, 0, 4, 4, 1, 2, 1, 2, 4, 0, 1, 3, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 2, 1, 1, 0, 3, 3, 4, 4, 3, 1, 4, 4, 0, 0, 3, 3, 0, 1, 2, 3, 0, 1, 0, 3, 3, 2, 1, 1, 4, 0, 3, 4, 4, 1, 2, 1, 2, 2, 3, 0, 1, 2, 2, 2, 0, 3, 2, 2, 4, 3, 1]
pubkeycol1177 = [1, 2, 2, 3, 4, 2, 0, 4, 0, 4, 4, 3, 0, 2, 3, 4, 0, 4, 2, 4, 1, 3, 1, 4, 2, 1, 3, 2, 3, 4, 2, 1, 0, 4, 1, 2, 3, 2, 4, 4, 2, 1, 1, 4, 1, 2, 2, 1, 1, 3, 2, 2, 2, 2, 0, 1, 1, 1, 2, 3, 0, 3, 1, 1, 3, 0, 1, 4, 3, 4, 1, 1, 4, 4, 0, 2, 0, 4, 2, 0, 1, 0, 3, 4, 4, 2, 4, 4, 1, 3, 0, 3, 1, 4, 1, 3, 4, 0, 1, 0, 4, 4, 1, 3, 2, 1, 4, 4, 2, 0, 4, 3, 4, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 3, 0, 3, 1, 3, 1, 0, 2, 1, 3, 0, 2, 0, 4, 4, 1, 2, 0, 1, 0, 0, 3, 1, 1, 2, 2, 3, 0, 1, 1, 0, 4, 4, 4, 1, 3, 2, 0, 1, 3, 2, 0, 3, 4, 2, 1, 0, 1, 2, 2, 3, 3, 1, 2, 0, 4, 1, 0, 2, 4, 3, 2, 4, 0, 0, 1, 1, 3, 1, 2, 3, 4, 1, 1, 2, 1, 2, 1, 0, 4, 4, 3, 0, 4, 4, 1, 3, 1, 2, 3, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 3, 4, 1, 3, 0, 0, 4, 1, 0, 3, 3, 0, 0, 3, 3, 0, 1, 2, 2, 0, 0, 2, 4, 3, 1, 0, 1, 3, 1, 1, 1, 4, 2, 4, 4, 2, 0, 2, 2, 2, 4, 1, 1, 0, 3, 4, 1, 1, 2, 1, 2, 3, 1, 4, 1, 1, 3, 4, 4, 2, 4, 3, 3, 4, 2, 1, 0, 0, 0, 3, 2, 0, 1, 2, 0, 4, 3, 2, 4, 1, 3, 2, 2, 0, 3, 4, 4, 4, 3, 1, 2, 2, 4, 0, 3, 3, 2, 2, 0, 2, 4, 3, 0, 1, 4, 3, 3, 4, 3, 1, 1, 4, 2, 2, 3, 3, 0, 0, 0, 3, 3, 2, 1, 3, 2, 2, 0, 2, 1, 1, 2, 0, 0, 4, 1, 0, 3, 4, 1, 3, 3, 3, 1, 0, 0, 3, 4, 3, 4, 0, 0, 1, 1, 3, 4, 1, 4, 2, 4, 1, 4, 3, 3, 1, 0, 0, 3, 3, 3, 2, 3, 4, 1, 4, 3, 2]
pubkeycol1178 = [4, 0, 3, 0, 2, 1, 3, 2, 1, 1, 0, 4, 4, 0, 4, 2, 3, 3, 0, 0, 2, 0, 4, 3, 1, 2, 4, 1, 2, 1, 2, 0, 1, 4, 0, 3, 2, 0, 2, 3, 1, 4, 2, 2, 0, 1, 0, 3, 3, 4, 0, 0, 2, 3, 3, 2, 1, 0, 4, 2, 3, 2, 4, 3, 3, 2, 4, 0, 4, 2, 4, 1, 0, 2, 0, 0, 1, 4, 4, 3, 0, 0, 3, 4, 0, 3, 0, 0, 2, 0, 0, 0, 4, 4, 4, 4, 4, 3, 2, 2, 0, 3, 2, 1, 2, 2, 3, 4, 2, 1, 1, 4, 3, 0, 2, 0, 2, 4, 0, 4, 2, 4, 2, 2, 2, 3, 1, 3, 1, 4, 4, 4, 4, 4, 4, 3, 3, 1, 4, 4, 1, 2, 3, 1, 0, 1, 3, 2, 0, 3, 0, 0, 2, 2, 0, 2, 1, 3, 2, 2, 2, 1, 0, 1, 1, 4, 0, 3, 1, 0, 0, 3, 1, 0, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 0, 0, 2, 0, 4, 2, 0, 4, 0, 1, 3, 2, 0, 1, 1, 4, 2, 0, 1, 2, 4, 4, 3, 1, 4, 4, 1, 4, 4, 3, 2, 2, 2, 3, 1, 1, 4, 3, 4, 2, 4, 2, 3, 0, 1, 2, 1, 0, 3, 0, 2, 2, 3, 1, 4, 3, 0, 1, 2, 0, 4, 2, 3, 0, 2, 1, 2, 3, 3, 4, 3, 2, 4, 1, 3, 1, 3, 0, 3, 2, 0, 2, 4, 4, 2, 3, 2, 4, 3, 4, 3, 1, 4, 2, 0, 4, 3, 0, 0, 4, 0, 4, 2, 1, 4, 1, 4, 3, 3, 1, 3, 2, 1, 0, 2, 3, 0, 4, 0, 2, 2, 4, 3, 1, 4, 0, 2, 4, 1, 0, 4, 3, 0, 2, 1, 4, 2, 4, 2, 3, 3, 1, 0, 4, 0, 0, 4, 4, 3, 2, 3, 1, 3, 3, 3, 0, 2, 3, 1, 3, 0, 3, 0, 1, 4, 2, 0, 0, 0, 1, 3, 0, 3, 3, 3, 2, 2, 2, 0, 4, 3, 1, 4, 4, 2, 1, 0, 4, 1, 2, 4, 2, 4, 2, 4, 4, 4, 2, 1, 1, 3, 2, 1, 3, 3, 1, 4, 3, 0, 0, 0, 2, 3, 2, 1, 0]
pubkeycol1179 = [0, 3, 0, 4, 3, 3, 4, 2, 4, 1, 2, 3, 0, 3, 4, 1, 0, 0, 3, 0, 0, 3, 3, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 3, 3, 1, 0, 1, 4, 3, 2, 2, 2, 3, 0, 1, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 0, 2, 1, 3, 0, 2, 2, 4, 3, 1, 4, 0, 0, 4, 4, 4, 1, 1, 1, 2, 3, 0, 1, 4, 0, 3, 3, 3, 0, 4, 2, 2, 1, 4, 4, 2, 4, 1, 4, 0, 0, 4, 2, 1, 2, 0, 4, 4, 4, 4, 1, 2, 2, 3, 4, 0, 4, 3, 2, 0, 1, 4, 1, 4, 2, 1, 1, 3, 0, 2, 2, 2, 3, 3, 1, 3, 4, 1, 0, 4, 0, 0, 4, 0, 3, 4, 1, 4, 3, 3, 3, 2, 1, 3, 4, 1, 0, 2, 3, 1, 1, 2, 0, 4, 3, 1, 4, 4, 4, 4, 1, 1, 0, 1, 1, 4, 3, 4, 2, 3, 4, 2, 1, 4, 4, 3, 3, 1, 3, 1, 0, 0, 4, 3, 0, 2, 1, 3, 1, 0, 3, 1, 2, 3, 4, 1, 2, 1, 4, 0, 4, 3, 3, 2, 2, 0, 4, 2, 4, 0, 0, 2, 0, 4, 3, 1, 4, 3, 2, 0, 4, 3, 3, 4, 0, 3, 1, 1, 1, 4, 4, 1, 3, 1, 2, 0, 2, 4, 2, 1, 0, 2, 3, 1, 4, 0, 3, 2, 1, 1, 3, 0, 3, 1, 2, 3, 1, 4, 3, 1, 1, 2, 2, 0, 1, 1, 0, 4, 4, 0, 0, 2, 2, 1, 4, 1, 1, 1, 4, 2, 1, 4, 2, 1, 2, 4, 4, 4, 4, 0, 1, 2, 0, 2, 1, 0, 4, 1, 2, 2, 2, 1, 1, 2, 2, 3, 4, 1, 1, 4, 3, 3, 4, 2, 0, 3, 0, 3, 2, 2, 0, 4, 2, 2, 0, 4, 3, 4, 0, 0, 0, 0, 3, 1, 1, 2, 1, 4, 0, 4, 0, 4, 1, 4, 1, 1, 1, 1, 2, 3, 0, 3, 4, 4, 3, 1, 1, 0, 1, 1, 4, 4, 2, 2, 4, 3, 4, 1, 3, 4, 1, 2, 0, 0, 3, 0, 3, 0, 1, 1]
pubkeycol1180 = [3, 2, 2, 1, 3, 0, 4, 1, 3, 2, 0, 4, 3, 0, 0, 2, 3, 4, 0, 1, 2, 4, 0, 1, 4, 3, 2, 2, 3, 4, 4, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 3, 0, 4, 4, 4, 3, 0, 3, 4, 3, 0, 3, 3, 4, 1, 1, 0, 1, 4, 3, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 3, 2, 3, 1, 1, 2, 4, 1, 2, 2, 3, 3, 3, 3, 1, 3, 3, 3, 2, 1, 4, 1, 2, 2, 0, 2, 3, 3, 2, 2, 0, 2, 4, 4, 1, 0, 1, 3, 0, 4, 4, 4, 4, 0, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 2, 4, 4, 4, 1, 2, 4, 3, 4, 4, 2, 0, 1, 3, 1, 3, 1, 1, 4, 4, 4, 1, 0, 1, 0, 3, 4, 4, 3, 0, 1, 1, 3, 4, 4, 2, 1, 2, 4, 3, 3, 2, 0, 1, 3, 3, 4, 3, 0, 0, 1, 2, 0, 3, 4, 1, 1, 2, 1, 0, 1, 3, 4, 1, 0, 1, 3, 1, 2, 0, 4, 1, 2, 0, 1, 4, 4, 3, 1, 0, 2, 3, 2, 2, 4, 3, 3, 4, 1, 1, 4, 4, 1, 1, 1, 4, 0, 2, 0, 4, 4, 4, 4, 2, 4, 0, 0, 0, 4, 0, 2, 4, 2, 3, 0, 4, 3, 0, 4, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 3, 0, 0, 1, 2, 1, 4, 4, 4, 2, 1, 0, 4, 1, 1, 1, 3, 1, 2, 2, 1, 4, 2, 3, 0, 2, 3, 1, 2, 0, 1, 3, 2, 0, 1, 4, 2, 4, 2, 3, 0, 3, 4, 3, 1, 2, 3, 3, 2, 0, 3, 2, 3, 0, 3, 2, 1, 2, 1, 3, 1, 3, 0, 4, 4, 0, 0, 4, 1, 2, 2, 3, 0, 2, 1, 1, 3, 2, 0, 3, 0, 4, 2, 4, 3, 4, 1, 2, 0, 2, 3, 0, 3, 2, 4, 2, 1, 0, 3, 4, 2, 2, 4, 1, 3, 4, 1, 0, 2, 0, 2, 0, 3, 2, 3, 4, 0, 3, 2, 3, 1, 4, 2, 3, 2, 1, 4, 1, 4, 0, 2, 3, 0, 0, 2, 2, 0, 4, 4, 0, 1, 0, 2]
pubkeycol1181 = [0, 1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 1, 3, 3, 1, 4, 4, 1, 3, 4, 2, 4, 2, 0, 1, 1, 0, 4, 0, 4, 3, 3, 0, 3, 1, 0, 1, 0, 3, 0, 1, 0, 1, 2, 1, 1, 2, 4, 4, 0, 0, 3, 4, 1, 4, 0, 1, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 4, 1, 4, 4, 0, 0, 2, 4, 0, 3, 0, 0, 3, 0, 3, 4, 2, 0, 3, 3, 4, 3, 3, 1, 1, 1, 2, 2, 4, 1, 2, 4, 0, 3, 2, 3, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 3, 0, 3, 0, 2, 3, 1, 1, 1, 0, 4, 3, 2, 2, 1, 2, 3, 0, 4, 1, 0, 3, 4, 4, 4, 4, 1, 0, 2, 1, 1, 0, 1, 4, 0, 0, 0, 0, 1, 0, 3, 2, 0, 4, 0, 2, 4, 4, 1, 1, 2, 2, 4, 3, 4, 3, 3, 4, 1, 1, 3, 2, 4, 2, 4, 1, 3, 0, 4, 1, 4, 4, 1, 2, 1, 0, 0, 2, 1, 4, 4, 1, 1, 0, 0, 2, 3, 2, 4, 3, 2, 4, 3, 3, 3, 4, 0, 4, 3, 3, 3, 4, 4, 4, 1, 1, 0, 3, 4, 0, 4, 0, 2, 1, 2, 4, 0, 3, 2, 1, 3, 3, 3, 3, 4, 3, 3, 2, 3, 1, 0, 0, 1, 2, 2, 3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 2, 0, 1, 0, 1, 4, 1, 3, 0, 1, 2, 3, 3, 3, 0, 3, 0, 0, 0, 1, 1, 0, 3, 0, 0, 2, 1, 4, 1, 3, 1, 4, 4, 3, 0, 1, 4, 1, 3, 0, 1, 0, 2, 4, 1, 0, 4, 1, 2, 0, 2, 0, 1, 4, 0, 1, 3, 3, 0, 0, 4, 1, 4, 1, 2, 2, 3, 4, 3, 1, 4, 0, 2, 0, 3, 0, 4, 0, 2, 4, 0, 3, 2, 3, 2, 1, 4, 1, 3, 4, 1, 3, 4, 2, 2, 2, 3, 2, 2, 4, 0, 2, 4, 2, 2, 4, 4, 3, 3, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 4, 4, 4, 1, 4, 4, 4, 3, 3, 3, 3, 4, 3, 1, 1, 4, 2, 1]
pubkeycol1182 = [0, 4, 0, 4, 2, 2, 4, 4, 2, 3, 3, 1, 0, 0, 4, 2, 4, 1, 0, 3, 3, 0, 3, 2, 2, 2, 0, 3, 4, 2, 1, 4, 1, 1, 4, 2, 2, 4, 1, 0, 1, 1, 3, 3, 2, 1, 3, 1, 1, 0, 0, 1, 3, 0, 4, 0, 2, 3, 3, 4, 1, 4, 3, 4, 0, 2, 1, 1, 1, 0, 1, 3, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 3, 0, 0, 1, 4, 0, 0, 3, 2, 0, 2, 1, 0, 3, 1, 1, 4, 4, 3, 3, 2, 1, 0, 0, 0, 3, 2, 1, 4, 2, 1, 2, 0, 0, 3, 2, 3, 0, 4, 1, 2, 2, 3, 2, 1, 4, 0, 1, 0, 3, 3, 0, 0, 0, 4, 1, 3, 0, 1, 4, 0, 0, 0, 4, 0, 3, 2, 2, 1, 4, 3, 0, 3, 2, 3, 0, 4, 3, 1, 4, 2, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 1, 1, 0, 0, 4, 4, 2, 2, 4, 0, 3, 0, 4, 2, 0, 1, 0, 2, 0, 3, 1, 1, 2, 0, 1, 1, 2, 2, 0, 4, 3, 0, 3, 4, 2, 4, 4, 3, 4, 2, 1, 3, 4, 4, 0, 0, 2, 0, 3, 1, 3, 4, 4, 3, 1, 3, 3, 1, 3, 2, 1, 2, 0, 4, 1, 1, 1, 0, 2, 0, 4, 4, 2, 4, 3, 4, 2, 1, 4, 0, 0, 3, 3, 3, 4, 4, 4, 3, 4, 2, 2, 2, 3, 3, 1, 3, 3, 0, 2, 0, 1, 4, 0, 0, 1, 2, 1, 1, 3, 1, 4, 2, 2, 3, 3, 2, 4, 2, 1, 1, 1, 1, 2, 0, 0, 2, 4, 0, 3, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 4, 2, 3, 2, 0, 4, 0, 2, 2, 1, 4, 3, 3, 3, 4, 3, 3, 1, 1, 4, 4, 2, 1, 2, 0, 2, 4, 3, 0, 3, 3, 2, 4, 3, 1, 4, 2, 1, 0, 4, 2, 3, 3, 2, 3, 1, 4, 3, 1, 1, 2, 0, 4, 4, 4, 3, 2, 4, 3, 3, 1, 0, 2, 4, 3, 2, 3, 4, 2, 1, 4, 1, 2, 0, 2, 0, 4, 0, 2, 3, 1, 1, 4]
pubkeycol1183 = [4, 2, 4, 1, 3, 2, 0, 2, 1, 3, 1, 4, 4, 3, 0, 3, 1, 0, 1, 2, 3, 3, 2, 4, 1, 2, 4, 1, 0, 2, 1, 3, 4, 0, 2, 3, 3, 3, 4, 3, 0, 1, 0, 0, 2, 1, 0, 3, 2, 0, 3, 3, 2, 4, 3, 4, 2, 3, 4, 1, 3, 0, 3, 3, 0, 1, 1, 4, 0, 4, 4, 3, 4, 4, 2, 1, 0, 1, 0, 4, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 4, 4, 3, 1, 1, 0, 3, 2, 1, 3, 2, 0, 2, 4, 0, 4, 0, 3, 1, 4, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 4, 3, 0, 4, 0, 3, 1, 1, 3, 3, 0, 0, 4, 0, 2, 4, 3, 4, 3, 3, 2, 4, 0, 0, 3, 0, 0, 3, 1, 2, 0, 4, 2, 2, 4, 2, 0, 0, 4, 1, 0, 1, 1, 2, 4, 1, 1, 3, 2, 3, 1, 1, 4, 3, 3, 4, 0, 4, 1, 1, 3, 2, 4, 2, 1, 0, 1, 0, 4, 1, 2, 0, 3, 3, 0, 3, 3, 3, 1, 2, 1, 1, 4, 2, 2, 4, 3, 1, 3, 4, 1, 4, 1, 2, 2, 0, 4, 0, 1, 0, 2, 0, 3, 1, 0, 4, 4, 3, 2, 1, 2, 1, 1, 4, 4, 4, 3, 2, 4, 1, 1, 4, 3, 3, 0, 2, 4, 1, 4, 1, 0, 0, 2, 4, 4, 3, 3, 4, 0, 1, 3, 4, 0, 2, 2, 3, 2, 4, 1, 3, 2, 1, 2, 3, 0, 4, 0, 1, 1, 4, 3, 2, 4, 4, 4, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 3, 3, 3, 0, 2, 2, 1, 4, 2, 2, 0, 4, 2, 0, 2, 2, 1, 3, 4, 0, 2, 0, 4, 0, 2, 2, 0, 3, 3, 1, 4, 4, 0, 0, 2, 0, 4, 0, 2, 4, 3, 4, 0, 2, 2, 0, 3, 4, 3, 3, 2, 2, 0, 4, 1, 1, 2, 0, 3, 1, 3, 3, 1, 2, 4, 2, 0, 4, 0, 2, 2, 3, 1, 4, 0, 0, 3, 4, 2, 1, 0, 3, 0, 3, 4, 2, 3, 4, 2, 4, 1, 4, 3, 2, 2, 1, 0, 3, 4, 4, 2, 2]
pubkeycol1184 = [1, 4, 4, 1, 2, 2, 2, 0, 1, 1, 4, 3, 1, 3, 4, 4, 0, 2, 3, 2, 4, 0, 4, 1, 2, 0, 4, 2, 4, 3, 2, 0, 4, 1, 2, 3, 0, 4, 3, 3, 0, 2, 2, 0, 0, 4, 0, 1, 1, 1, 2, 3, 4, 4, 1, 4, 3, 2, 1, 4, 3, 2, 3, 3, 0, 2, 2, 4, 4, 0, 1, 3, 3, 2, 0, 2, 2, 0, 4, 1, 3, 1, 4, 0, 1, 0, 2, 2, 4, 2, 1, 1, 1, 0, 0, 4, 4, 0, 3, 3, 0, 3, 3, 3, 3, 1, 3, 2, 2, 0, 2, 4, 4, 1, 1, 2, 3, 4, 0, 2, 2, 3, 4, 2, 2, 2, 3, 3, 0, 2, 4, 3, 3, 4, 1, 2, 0, 2, 3, 1, 3, 4, 3, 2, 0, 2, 1, 4, 0, 0, 4, 2, 1, 0, 2, 2, 4, 2, 4, 3, 2, 2, 3, 0, 4, 1, 3, 0, 0, 2, 1, 0, 0, 3, 1, 1, 3, 1, 3, 0, 0, 2, 4, 4, 1, 3, 3, 4, 1, 3, 3, 1, 3, 0, 2, 1, 2, 0, 3, 4, 2, 4, 1, 0, 1, 1, 1, 2, 2, 1, 4, 4, 0, 1, 2, 0, 2, 4, 0, 3, 0, 3, 4, 2, 1, 0, 0, 4, 1, 4, 1, 3, 4, 2, 4, 0, 2, 3, 0, 0, 0, 3, 1, 0, 4, 2, 1, 2, 2, 4, 1, 0, 0, 0, 3, 1, 2, 4, 2, 0, 3, 2, 1, 3, 3, 1, 2, 4, 3, 1, 2, 3, 4, 3, 4, 1, 3, 1, 2, 2, 3, 1, 2, 4, 0, 3, 0, 1, 0, 2, 4, 4, 1, 4, 2, 3, 4, 0, 1, 2, 0, 4, 2, 1, 3, 4, 2, 4, 0, 3, 3, 0, 3, 4, 2, 4, 4, 3, 0, 1, 4, 4, 4, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 3, 0, 4, 2, 3, 0, 1, 0, 0, 0, 0, 1, 4, 4, 3, 0, 4, 0, 0, 2, 0, 2, 4, 0, 1, 3, 1, 0, 1, 4, 1, 3, 1, 4, 0, 0, 1, 1, 0, 2, 3, 1, 1, 0, 2, 0, 2, 1, 3, 4, 3, 2, 1, 0, 3, 1, 4, 4, 4, 2, 4, 1, 4, 4, 0, 4]
pubkeycol1185 = [0, 0, 4, 1, 1, 2, 1, 0, 2, 4, 0, 0, 1, 3, 4, 4, 3, 3, 2, 3, 2, 2, 2, 0, 0, 0, 3, 3, 1, 0, 4, 1, 0, 1, 0, 4, 4, 1, 1, 3, 4, 0, 1, 0, 1, 4, 3, 2, 2, 4, 4, 3, 4, 4, 0, 3, 4, 2, 1, 0, 0, 4, 4, 0, 1, 3, 1, 3, 2, 0, 4, 2, 0, 4, 2, 2, 3, 0, 1, 1, 3, 1, 3, 0, 0, 1, 0, 4, 2, 2, 0, 1, 2, 0, 2, 4, 2, 4, 4, 2, 0, 0, 3, 2, 1, 1, 3, 3, 0, 1, 2, 0, 4, 4, 4, 0, 1, 0, 3, 3, 4, 3, 0, 2, 2, 3, 4, 2, 4, 3, 1, 0, 1, 1, 3, 1, 0, 2, 4, 1, 1, 4, 0, 4, 2, 1, 3, 4, 2, 0, 0, 2, 2, 4, 2, 3, 1, 3, 1, 2, 2, 3, 0, 2, 2, 2, 4, 4, 4, 0, 1, 4, 3, 1, 2, 4, 2, 3, 3, 2, 2, 3, 3, 0, 0, 3, 1, 0, 4, 4, 4, 4, 4, 0, 3, 0, 4, 2, 3, 0, 0, 1, 0, 1, 0, 3, 3, 1, 0, 0, 2, 1, 4, 2, 4, 2, 2, 3, 1, 0, 0, 1, 4, 0, 4, 2, 1, 2, 0, 4, 3, 2, 2, 4, 0, 0, 0, 4, 0, 2, 2, 0, 0, 0, 2, 4, 1, 2, 2, 1, 0, 1, 0, 3, 3, 1, 1, 1, 1, 3, 0, 1, 1, 3, 4, 0, 3, 1, 2, 0, 2, 2, 0, 4, 1, 3, 2, 3, 4, 2, 2, 3, 4, 1, 0, 0, 2, 0, 3, 0, 0, 3, 4, 2, 4, 3, 2, 3, 1, 0, 2, 0, 2, 0, 0, 3, 1, 0, 4, 1, 3, 2, 3, 3, 0, 4, 0, 2, 4, 1, 2, 4, 3, 1, 0, 4, 1, 1, 0, 0, 3, 3, 2, 3, 2, 0, 1, 2, 0, 3, 1, 1, 0, 0, 1, 4, 0, 2, 3, 4, 3, 4, 2, 2, 3, 2, 0, 1, 4, 2, 4, 3, 2, 3, 1, 4, 1, 4, 3, 4, 1, 2, 4, 2, 0, 0, 4, 3, 0, 1, 2, 3, 4, 2, 4, 4, 0, 2, 0, 2, 2, 2, 3, 1, 2, 1, 4, 1, 2, 0]
pubkeycol1186 = [2, 4, 0, 2, 1, 2, 0, 3, 4, 3, 0, 3, 3, 0, 0, 0, 3, 2, 0, 2, 0, 1, 3, 0, 3, 3, 3, 1, 1, 3, 2, 3, 2, 3, 2, 0, 1, 2, 0, 3, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 4, 2, 0, 1, 3, 3, 0, 1, 1, 1, 1, 1, 3, 2, 2, 4, 4, 1, 1, 2, 4, 1, 2, 1, 0, 2, 0, 2, 0, 4, 1, 0, 2, 2, 4, 3, 4, 2, 4, 4, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 4, 0, 4, 3, 4, 0, 3, 0, 4, 0, 2, 3, 2, 4, 4, 3, 2, 4, 3, 3, 4, 0, 1, 1, 3, 4, 4, 2, 4, 2, 2, 0, 4, 1, 1, 0, 2, 3, 3, 3, 3, 0, 0, 3, 1, 1, 0, 3, 3, 0, 2, 4, 2, 1, 1, 3, 1, 3, 0, 1, 1, 1, 4, 1, 2, 4, 1, 4, 1, 1, 1, 1, 1, 2, 1, 0, 4, 1, 0, 4, 1, 3, 2, 0, 0, 4, 0, 4, 0, 3, 4, 3, 1, 3, 0, 3, 3, 2, 2, 4, 0, 4, 0, 2, 3, 3, 2, 2, 4, 0, 4, 0, 0, 2, 4, 1, 4, 3, 4, 1, 3, 0, 4, 4, 0, 3, 3, 1, 1, 2, 4, 4, 4, 4, 0, 3, 1, 3, 3, 3, 0, 0, 0, 4, 4, 3, 0, 0, 2, 3, 3, 3, 4, 3, 0, 4, 4, 3, 0, 3, 0, 1, 3, 0, 4, 1, 4, 2, 1, 4, 2, 4, 1, 1, 0, 1, 2, 2, 0, 4, 0, 2, 2, 3, 3, 2, 1, 1, 1, 3, 4, 1, 1, 4, 2, 1, 2, 2, 1, 4, 0, 1, 0, 3, 0, 2, 3, 3, 0, 3, 4, 3, 1, 4, 2, 0, 4, 1, 1, 3, 0, 2, 1, 2, 4, 1, 4, 1, 1, 0, 0, 2, 4, 4, 3, 1, 0, 3, 1, 0, 1, 0, 3, 4, 1, 4, 1, 2, 0, 4, 3, 3, 3, 3, 3, 1, 3, 0, 3, 2, 0, 2, 0, 4, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 3, 4, 0, 4, 1, 3, 4, 4, 1, 4, 1, 2, 0, 3, 2, 3, 2, 4, 0, 2, 1, 4, 4, 4, 4, 2]
pubkeycol1187 = [0, 4, 2, 1, 2, 3, 1, 2, 3, 3, 0, 4, 3, 2, 0, 0, 2, 0, 2, 4, 4, 0, 2, 1, 3, 4, 4, 1, 2, 0, 4, 3, 0, 1, 4, 4, 0, 0, 4, 2, 2, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 0, 1, 3, 2, 3, 0, 0, 3, 0, 3, 2, 1, 0, 0, 1, 2, 2, 3, 0, 1, 2, 0, 4, 0, 2, 4, 4, 2, 4, 2, 2, 4, 0, 3, 2, 4, 4, 0, 1, 4, 2, 4, 2, 1, 2, 3, 0, 4, 3, 1, 2, 3, 4, 0, 3, 3, 2, 0, 2, 4, 3, 0, 2, 2, 1, 4, 3, 1, 1, 1, 3, 1, 0, 4, 4, 3, 0, 0, 3, 3, 4, 2, 2, 1, 2, 2, 2, 4, 4, 3, 0, 4, 2, 0, 1, 3, 4, 1, 3, 4, 2, 4, 3, 4, 0, 0, 4, 0, 0, 4, 2, 0, 0, 3, 0, 1, 4, 1, 3, 4, 4, 3, 4, 4, 4, 2, 1, 1, 4, 0, 3, 1, 1, 0, 3, 0, 3, 0, 2, 3, 4, 2, 3, 4, 4, 4, 0, 4, 2, 4, 0, 3, 3, 3, 3, 4, 3, 0, 4, 4, 0, 3, 0, 3, 4, 0, 0, 2, 4, 1, 4, 1, 4, 3, 3, 4, 2, 0, 4, 0, 4, 0, 2, 0, 2, 4, 0, 4, 0, 0, 2, 2, 1, 2, 1, 3, 1, 0, 1, 2, 4, 2, 2, 3, 0, 4, 0, 3, 0, 1, 3, 2, 1, 0, 4, 4, 2, 3, 4, 3, 4, 0, 1, 4, 1, 0, 0, 1, 4, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 4, 2, 1, 0, 3, 0, 4, 4, 4, 1, 2, 4, 3, 2, 1, 3, 0, 0, 3, 3, 1, 1, 0, 2, 3, 2, 0, 2, 1, 4, 0, 3, 1, 2, 3, 1, 1, 4, 4, 4, 2, 4, 0, 4, 3, 4, 1, 4, 4, 2, 3, 4, 4, 4, 4, 0, 2, 0, 3, 4, 3, 3, 4, 2, 0, 0, 3, 0, 4, 4, 4, 3, 4, 1, 1, 2, 0, 1, 2, 0, 1, 1, 4, 2, 1, 1, 1, 3, 3, 0, 0, 4, 1, 4, 1, 3, 3, 3, 3, 0, 1, 4, 3, 0, 1, 4, 2, 1]
pubkeycol1188 = [0, 4, 4, 1, 4, 0, 3, 1, 1, 2, 2, 1, 4, 3, 4, 4, 0, 3, 0, 0, 2, 1, 2, 4, 1, 2, 2, 4, 4, 4, 3, 0, 4, 0, 0, 1, 2, 1, 3, 4, 4, 4, 2, 2, 3, 0, 1, 3, 3, 2, 4, 1, 2, 1, 3, 1, 2, 1, 0, 2, 4, 2, 0, 4, 0, 4, 3, 1, 3, 0, 0, 4, 1, 1, 1, 0, 3, 2, 0, 1, 2, 4, 2, 4, 0, 4, 3, 1, 0, 0, 0, 3, 3, 2, 0, 4, 1, 1, 3, 2, 1, 3, 2, 1, 2, 0, 2, 1, 2, 4, 4, 0, 3, 0, 2, 2, 0, 0, 2, 1, 0, 0, 4, 0, 3, 1, 0, 1, 3, 2, 0, 4, 4, 2, 3, 0, 0, 2, 0, 4, 4, 2, 3, 1, 3, 0, 1, 1, 4, 0, 4, 3, 0, 1, 2, 1, 1, 0, 0, 0, 4, 0, 2, 2, 2, 4, 3, 4, 4, 1, 4, 3, 3, 2, 0, 1, 1, 1, 3, 4, 2, 0, 4, 1, 3, 1, 2, 2, 2, 2, 1, 3, 4, 4, 2, 1, 2, 1, 0, 2, 2, 4, 2, 2, 3, 0, 1, 0, 1, 1, 1, 0, 4, 1, 1, 4, 1, 3, 2, 1, 3, 3, 2, 4, 2, 2, 4, 1, 0, 1, 4, 1, 3, 2, 0, 0, 3, 3, 0, 4, 0, 4, 0, 2, 1, 4, 1, 1, 2, 2, 1, 2, 0, 4, 4, 2, 4, 1, 1, 4, 0, 0, 2, 1, 1, 3, 0, 0, 4, 3, 4, 0, 3, 3, 3, 4, 1, 4, 4, 0, 1, 3, 3, 2, 1, 1, 2, 0, 3, 4, 1, 3, 2, 3, 1, 4, 3, 3, 4, 1, 2, 3, 4, 0, 4, 1, 2, 1, 2, 2, 3, 3, 1, 4, 1, 2, 0, 2, 0, 1, 2, 2, 1, 3, 3, 0, 3, 4, 3, 0, 0, 4, 0, 1, 3, 0, 4, 1, 1, 4, 2, 2, 1, 4, 4, 2, 4, 4, 3, 4, 3, 2, 0, 4, 2, 1, 2, 4, 2, 2, 3, 2, 4, 2, 2, 4, 0, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 4, 3, 3, 2, 2, 1, 0, 1, 1, 3, 3, 4, 3, 3, 4, 0, 0, 1, 3, 1, 3, 1, 4]
pubkeycol1189 = [4, 4, 1, 1, 4, 0, 4, 3, 3, 2, 0, 1, 4, 2, 4, 4, 0, 2, 2, 0, 1, 3, 2, 2, 1, 3, 2, 0, 0, 0, 2, 3, 4, 1, 2, 0, 1, 3, 3, 0, 1, 3, 3, 2, 0, 1, 4, 0, 0, 4, 1, 0, 4, 1, 3, 4, 4, 0, 4, 2, 3, 3, 4, 3, 2, 0, 1, 3, 2, 4, 1, 4, 1, 4, 1, 1, 2, 0, 2, 3, 4, 3, 4, 1, 1, 2, 4, 2, 2, 0, 3, 4, 1, 4, 2, 4, 2, 4, 3, 3, 2, 2, 4, 3, 0, 0, 3, 0, 0, 1, 4, 0, 2, 1, 2, 4, 1, 3, 3, 3, 2, 3, 0, 3, 2, 4, 3, 1, 4, 0, 2, 2, 3, 1, 4, 0, 0, 1, 4, 1, 1, 2, 3, 0, 0, 1, 2, 1, 3, 0, 1, 4, 3, 1, 4, 0, 0, 4, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 3, 0, 1, 0, 1, 1, 0, 0, 3, 1, 3, 2, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 0, 2, 2, 4, 0, 3, 0, 0, 2, 2, 4, 1, 2, 3, 2, 2, 1, 2, 4, 1, 3, 1, 4, 0, 2, 4, 0, 4, 3, 1, 4, 3, 3, 0, 0, 4, 4, 2, 2, 1, 4, 2, 4, 4, 2, 2, 0, 2, 0, 3, 2, 0, 0, 2, 0, 3, 3, 2, 1, 0, 1, 1, 4, 4, 2, 4, 4, 1, 1, 0, 3, 2, 2, 1, 3, 0, 1, 4, 4, 1, 4, 1, 1, 0, 3, 1, 1, 2, 0, 1, 3, 0, 3, 0, 3, 2, 2, 3, 3, 1, 1, 0, 0, 2, 2, 3, 3, 0, 0, 3, 0, 2, 0, 0, 3, 0, 4, 0, 4, 2, 4, 1, 1, 3, 0, 2, 0, 1, 3, 2, 3, 4, 1, 3, 3, 1, 3, 0, 2, 2, 2, 0, 0, 3, 2, 0, 2, 4, 4, 3, 4, 4, 3, 1, 0, 3, 4, 1, 3, 2, 1, 2, 4, 0, 0, 4, 2, 2, 1, 0, 0, 3, 2, 2, 0, 1, 1, 0, 0, 4, 0, 1, 2, 3, 4, 1, 4, 2, 4, 4, 3, 4, 0, 2, 2, 1, 3, 0, 3, 4, 4, 1, 1, 0, 2, 3, 0]
pubkeycol1190 = [2, 3, 2, 0, 0, 3, 1, 0, 0, 4, 4, 0, 3, 1, 3, 2, 1, 1, 2, 3, 2, 2, 2, 3, 4, 4, 2, 1, 0, 1, 3, 3, 1, 3, 1, 3, 0, 4, 0, 4, 1, 3, 1, 2, 2, 0, 2, 4, 2, 1, 2, 0, 3, 2, 4, 3, 3, 1, 2, 1, 1, 4, 1, 1, 0, 0, 2, 3, 0, 2, 0, 2, 0, 4, 4, 1, 0, 4, 3, 0, 1, 1, 3, 4, 4, 1, 3, 1, 4, 3, 0, 4, 2, 1, 3, 0, 4, 0, 4, 2, 0, 3, 3, 0, 4, 3, 2, 3, 3, 2, 2, 3, 0, 0, 0, 4, 1, 1, 3, 1, 0, 3, 3, 2, 2, 3, 0, 3, 3, 4, 3, 2, 3, 3, 2, 2, 3, 4, 4, 0, 0, 2, 1, 4, 3, 2, 3, 2, 1, 0, 3, 4, 0, 4, 3, 4, 2, 3, 1, 0, 1, 4, 2, 1, 3, 3, 0, 0, 2, 0, 4, 3, 1, 4, 1, 3, 1, 1, 2, 1, 0, 0, 1, 3, 2, 0, 4, 4, 0, 3, 3, 4, 0, 1, 2, 1, 2, 4, 0, 2, 2, 4, 2, 3, 3, 3, 1, 0, 0, 2, 4, 1, 1, 0, 4, 2, 1, 1, 4, 2, 4, 1, 2, 1, 3, 2, 3, 0, 3, 3, 2, 3, 2, 1, 0, 0, 1, 4, 1, 4, 1, 3, 0, 4, 0, 3, 0, 1, 4, 4, 0, 1, 0, 2, 3, 2, 0, 4, 3, 1, 1, 1, 0, 1, 1, 3, 2, 0, 4, 3, 4, 3, 3, 4, 0, 2, 4, 4, 3, 2, 0, 4, 2, 0, 1, 0, 4, 0, 3, 1, 3, 4, 1, 1, 2, 2, 1, 2, 4, 2, 0, 3, 4, 1, 0, 3, 3, 2, 2, 4, 0, 2, 2, 1, 1, 0, 3, 0, 0, 1, 4, 2, 0, 0, 4, 2, 2, 4, 4, 4, 4, 3, 2, 4, 0, 0, 0, 1, 4, 4, 3, 3, 1, 2, 2, 1, 3, 0, 2, 4, 2, 4, 1, 1, 1, 3, 2, 4, 2, 1, 2, 4, 0, 4, 2, 1, 3, 3, 4, 4, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 3, 4, 0, 2, 0, 1, 0, 1, 2, 3, 4, 0, 4, 0, 4, 4, 4]
pubkeycol1191 = [2, 4, 3, 3, 3, 4, 2, 0, 0, 3, 0, 1, 4, 1, 1, 3, 2, 3, 4, 4, 1, 0, 0, 2, 1, 3, 4, 2, 2, 2, 2, 2, 3, 1, 0, 0, 4, 3, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 4, 0, 2, 3, 0, 0, 2, 3, 2, 2, 0, 3, 3, 2, 2, 2, 1, 1, 2, 2, 1, 3, 1, 2, 2, 1, 0, 1, 1, 3, 2, 4, 1, 0, 1, 2, 1, 3, 4, 4, 4, 0, 4, 2, 1, 1, 2, 4, 3, 0, 3, 0, 2, 4, 3, 0, 0, 0, 1, 1, 4, 2, 3, 1, 2, 1, 4, 1, 1, 0, 3, 4, 3, 0, 4, 3, 2, 2, 2, 1, 0, 1, 3, 0, 0, 4, 2, 2, 1, 3, 4, 1, 1, 3, 2, 2, 2, 3, 1, 4, 3, 3, 4, 2, 1, 1, 4, 4, 1, 4, 2, 0, 4, 4, 3, 3, 4, 2, 0, 0, 0, 2, 2, 1, 2, 4, 0, 1, 4, 0, 2, 0, 1, 2, 3, 0, 1, 4, 1, 1, 0, 3, 0, 4, 2, 1, 4, 2, 0, 0, 1, 3, 2, 0, 1, 2, 2, 3, 3, 3, 3, 2, 0, 2, 0, 2, 3, 3, 0, 0, 4, 4, 2, 4, 1, 2, 4, 3, 2, 0, 2, 2, 1, 4, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 4, 3, 2, 1, 1, 4, 3, 2, 1, 2, 4, 1, 4, 2, 0, 4, 2, 3, 4, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 4, 1, 4, 0, 1, 4, 3, 2, 0, 0, 2, 4, 3, 3, 0, 3, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 3, 1, 4, 4, 1, 4, 2, 2, 0, 0, 0, 3, 0, 0, 2, 2, 2, 2, 0, 3, 1, 2, 3, 3, 2, 1, 3, 1, 3, 0, 2, 2, 4, 4, 3, 0, 0, 4, 2, 2, 2, 3, 2, 1, 0, 4, 4, 4, 1, 1, 0, 3, 4, 2, 3, 1, 1, 0, 4, 1, 4, 4, 3, 2, 3, 0, 4, 4, 2, 2, 2, 0, 0, 0, 1, 3, 3, 3, 0, 0, 2, 2, 2, 0, 3, 2, 1, 4, 4, 3, 1, 3, 1, 2, 4, 0, 1, 0, 3]
pubkeycol1192 = [1, 2, 1, 2, 0, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3, 4, 0, 2, 0, 0, 0, 0, 3, 1, 2, 2, 4, 4, 1, 4, 3, 0, 2, 4, 1, 2, 3, 4, 3, 0, 4, 2, 1, 1, 3, 2, 0, 1, 0, 0, 4, 1, 4, 0, 4, 4, 3, 3, 4, 0, 4, 4, 1, 1, 4, 3, 0, 1, 4, 3, 0, 3, 2, 1, 4, 4, 3, 4, 1, 4, 0, 4, 2, 1, 1, 1, 2, 1, 4, 2, 1, 4, 4, 3, 4, 4, 4, 1, 1, 0, 0, 3, 3, 0, 2, 2, 3, 1, 1, 3, 4, 4, 4, 2, 3, 2, 1, 4, 2, 2, 4, 3, 0, 2, 1, 2, 1, 1, 0, 1, 4, 1, 1, 3, 0, 0, 0, 3, 0, 2, 2, 2, 3, 2, 4, 4, 3, 0, 1, 0, 2, 4, 3, 0, 4, 4, 2, 0, 1, 4, 1, 4, 2, 2, 2, 4, 0, 0, 2, 4, 0, 3, 1, 1, 0, 0, 2, 4, 4, 2, 0, 1, 4, 0, 4, 0, 0, 2, 3, 0, 3, 2, 4, 2, 3, 4, 0, 1, 4, 2, 4, 1, 4, 4, 1, 3, 2, 0, 0, 2, 1, 4, 1, 3, 3, 3, 1, 0, 1, 2, 3, 2, 3, 0, 3, 4, 4, 2, 4, 2, 4, 1, 2, 0, 3, 4, 2, 3, 1, 1, 3, 4, 2, 3, 1, 0, 4, 2, 1, 1, 3, 2, 1, 1, 4, 1, 4, 0, 4, 2, 4, 3, 2, 0, 3, 4, 0, 2, 4, 0, 4, 0, 2, 1, 0, 4, 4, 3, 2, 0, 1, 1, 0, 4, 3, 0, 2, 3, 4, 1, 2, 2, 0, 3, 4, 1, 1, 1, 4, 4, 1, 2, 0, 3, 4, 1, 4, 3, 3, 3, 1, 3, 4, 2, 0, 0, 0, 3, 1, 0, 4, 1, 4, 2, 1, 4, 0, 2, 0, 1, 0, 4, 4, 3, 3, 1, 0, 0, 2, 3, 2, 4, 0, 3, 1, 3, 4, 1, 1, 2, 0, 1, 1, 2, 1, 2, 3, 4, 4, 2, 1, 0, 0, 1, 1, 0, 1, 3, 2, 3, 4, 4, 0, 4, 0, 4, 0, 3, 4, 0, 2, 1, 3, 1, 1, 0, 1, 1, 2, 1, 0, 2, 3, 1, 0]
pubkeycol1193 = [1, 2, 2, 1, 1, 3, 3, 2, 1, 0, 4, 0, 3, 2, 1, 4, 1, 2, 2, 2, 2, 1, 0, 4, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 4, 4, 3, 4, 0, 3, 0, 1, 4, 3, 4, 0, 3, 3, 4, 4, 4, 2, 2, 0, 1, 2, 3, 1, 0, 4, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 2, 1, 3, 1, 2, 0, 4, 4, 0, 1, 2, 4, 3, 4, 4, 2, 2, 1, 0, 1, 2, 3, 4, 2, 2, 0, 4, 3, 2, 0, 1, 1, 3, 3, 3, 3, 4, 1, 1, 3, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 4, 2, 4, 2, 1, 0, 0, 1, 3, 3, 1, 1, 4, 4, 1, 0, 1, 3, 0, 1, 3, 0, 4, 2, 0, 2, 1, 0, 1, 3, 1, 3, 3, 1, 4, 0, 0, 3, 0, 3, 3, 0, 3, 4, 4, 2, 0, 1, 3, 3, 1, 3, 4, 4, 1, 0, 0, 2, 3, 0, 4, 3, 0, 1, 3, 3, 1, 2, 0, 1, 2, 0, 4, 4, 4, 3, 4, 1, 4, 3, 4, 2, 3, 2, 1, 2, 2, 2, 3, 2, 0, 4, 4, 3, 4, 4, 4, 2, 4, 1, 1, 2, 2, 0, 0, 2, 3, 2, 0, 2, 3, 0, 0, 1, 0, 0, 1, 0, 3, 0, 2, 3, 2, 1, 3, 1, 0, 4, 1, 2, 2, 4, 2, 3, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 4, 1, 3, 0, 4, 3, 4, 0, 4, 4, 0, 2, 3, 4, 3, 3, 4, 3, 3, 1, 2, 2, 2, 3, 4, 2, 3, 1, 0, 4, 2, 1, 1, 1, 3, 0, 2, 0, 3, 2, 4, 1, 0, 0, 3, 2, 2, 2, 1, 4, 1, 1, 2, 4, 4, 3, 0, 3, 1, 2, 0, 3, 1, 0, 1, 3, 4, 1, 3, 4, 0, 4, 0, 2, 4, 2, 2, 4, 2, 4, 3, 1, 2, 4, 0, 4, 3, 1, 0, 2, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 4, 2, 1, 4, 0, 4, 4, 1, 0, 2, 1, 0, 3, 4, 3, 4, 0, 3]
pubkeycol1194 = [3, 4, 2, 0, 0, 0, 1, 0, 1, 0, 4, 2, 0, 4, 1, 3, 4, 4, 3, 3, 0, 0, 4, 3, 2, 0, 0, 4, 4, 0, 3, 2, 1, 4, 0, 4, 4, 1, 2, 2, 1, 3, 4, 3, 2, 0, 1, 4, 4, 1, 1, 3, 2, 2, 3, 2, 3, 3, 0, 1, 2, 4, 3, 2, 1, 3, 3, 3, 0, 4, 0, 0, 4, 2, 0, 2, 2, 2, 0, 0, 4, 2, 2, 2, 0, 2, 3, 1, 0, 3, 1, 2, 4, 1, 3, 0, 2, 4, 0, 0, 1, 0, 4, 1, 1, 1, 2, 2, 4, 4, 2, 1, 3, 2, 3, 0, 0, 2, 0, 3, 3, 3, 0, 3, 3, 1, 3, 4, 0, 3, 2, 0, 2, 4, 3, 0, 2, 3, 2, 0, 3, 3, 0, 0, 4, 4, 3, 3, 3, 1, 1, 2, 4, 2, 0, 1, 1, 4, 4, 3, 2, 2, 1, 4, 0, 0, 4, 1, 3, 1, 1, 4, 0, 2, 3, 0, 3, 3, 3, 3, 1, 3, 0, 4, 0, 4, 0, 2, 4, 1, 1, 2, 2, 4, 3, 2, 0, 2, 1, 3, 4, 4, 2, 2, 0, 1, 0, 0, 1, 1, 2, 4, 0, 2, 1, 4, 3, 2, 2, 0, 3, 3, 3, 1, 3, 0, 3, 0, 1, 1, 1, 2, 1, 3, 2, 0, 3, 3, 4, 0, 4, 1, 0, 3, 0, 0, 4, 3, 3, 2, 4, 0, 0, 3, 1, 0, 2, 3, 1, 4, 3, 1, 1, 3, 3, 2, 4, 4, 2, 4, 0, 0, 1, 2, 4, 3, 2, 0, 3, 1, 0, 3, 0, 2, 4, 3, 3, 1, 1, 1, 2, 1, 3, 3, 1, 0, 1, 3, 4, 0, 2, 2, 1, 4, 1, 3, 0, 1, 4, 0, 4, 2, 0, 0, 1, 3, 4, 2, 1, 0, 3, 1, 3, 0, 2, 1, 1, 4, 3, 2, 3, 3, 4, 0, 0, 0, 2, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 4, 0, 3, 1, 2, 3, 3, 4, 2, 0, 3, 4, 4, 3, 2, 3, 4, 1, 4, 0, 4, 0, 3, 1, 1, 3, 2, 3, 2, 0, 3, 3, 2, 1, 4, 4, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 3, 3, 4, 4]
pubkeycol1195 = [0, 1, 2, 1, 1, 4, 2, 1, 3, 2, 1, 4, 0, 0, 2, 2, 3, 4, 4, 2, 2, 1, 2, 3, 2, 1, 1, 0, 4, 3, 4, 2, 3, 1, 4, 4, 1, 2, 4, 4, 3, 1, 0, 3, 0, 1, 4, 1, 1, 0, 4, 2, 2, 4, 4, 3, 4, 3, 0, 2, 4, 2, 4, 0, 0, 2, 3, 4, 3, 3, 1, 4, 3, 2, 3, 3, 0, 0, 1, 4, 0, 3, 1, 3, 3, 4, 1, 0, 3, 4, 3, 1, 3, 3, 1, 2, 3, 1, 3, 3, 0, 4, 4, 0, 0, 3, 3, 3, 2, 1, 3, 3, 2, 3, 3, 2, 0, 4, 2, 4, 2, 3, 4, 4, 4, 3, 1, 2, 2, 3, 4, 3, 2, 4, 1, 2, 3, 0, 1, 0, 1, 0, 2, 0, 1, 1, 3, 3, 4, 4, 3, 4, 0, 3, 0, 3, 2, 3, 1, 0, 4, 2, 4, 3, 4, 0, 0, 0, 1, 3, 2, 2, 2, 0, 4, 1, 4, 2, 3, 3, 0, 3, 3, 4, 0, 3, 4, 3, 2, 3, 2, 4, 1, 4, 3, 1, 2, 1, 1, 4, 3, 0, 1, 2, 0, 4, 4, 1, 0, 0, 2, 1, 4, 2, 1, 2, 1, 2, 1, 2, 4, 3, 1, 4, 0, 2, 4, 1, 2, 0, 3, 2, 1, 3, 3, 4, 4, 0, 1, 0, 2, 4, 3, 3, 4, 3, 2, 1, 2, 0, 2, 1, 1, 2, 3, 1, 1, 2, 1, 1, 3, 0, 4, 2, 0, 2, 3, 0, 0, 3, 0, 2, 4, 4, 3, 2, 0, 3, 3, 0, 1, 3, 1, 3, 1, 4, 2, 3, 4, 3, 3, 1, 0, 2, 2, 2, 2, 2, 0, 2, 3, 0, 4, 4, 1, 2, 0, 2, 2, 1, 2, 1, 4, 2, 0, 4, 0, 3, 0, 3, 3, 0, 1, 2, 1, 2, 1, 3, 0, 2, 4, 0, 4, 2, 0, 0, 4, 3, 1, 4, 4, 3, 0, 0, 4, 2, 2, 2, 4, 1, 3, 0, 0, 0, 2, 4, 0, 2, 0, 0, 4, 1, 2, 1, 0, 2, 0, 4, 3, 1, 1, 0, 0, 1, 0, 4, 4, 1, 0, 4, 4, 1, 0, 2, 1, 0, 4, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 3, 2, 2]
pubkeycol1196 = [4, 4, 4, 1, 0, 0, 0, 4, 1, 4, 4, 2, 4, 0, 0, 2, 2, 1, 4, 2, 2, 0, 1, 1, 4, 3, 0, 1, 3, 2, 1, 1, 4, 1, 3, 3, 4, 0, 2, 4, 3, 4, 4, 2, 2, 4, 2, 1, 3, 2, 1, 3, 3, 4, 3, 1, 1, 1, 3, 0, 0, 0, 1, 3, 0, 2, 2, 1, 4, 0, 4, 1, 4, 4, 0, 3, 0, 0, 3, 4, 3, 1, 4, 0, 3, 3, 4, 0, 3, 0, 1, 4, 3, 4, 4, 1, 3, 0, 4, 2, 0, 0, 1, 1, 1, 4, 1, 0, 4, 2, 3, 2, 0, 4, 2, 3, 2, 0, 4, 4, 3, 4, 1, 2, 0, 3, 4, 2, 3, 4, 1, 2, 1, 0, 3, 0, 3, 3, 3, 4, 1, 2, 0, 0, 2, 1, 1, 4, 0, 4, 4, 0, 1, 4, 1, 1, 2, 1, 4, 2, 0, 4, 0, 4, 3, 1, 1, 0, 1, 3, 2, 4, 4, 0, 3, 3, 2, 3, 2, 0, 2, 0, 3, 0, 3, 2, 4, 4, 0, 0, 2, 0, 1, 4, 0, 3, 2, 2, 2, 3, 4, 0, 4, 4, 3, 4, 3, 4, 3, 4, 4, 0, 3, 4, 1, 4, 1, 3, 0, 3, 1, 1, 3, 4, 2, 4, 3, 2, 2, 0, 2, 1, 3, 1, 1, 3, 0, 4, 0, 2, 1, 0, 2, 1, 2, 4, 1, 3, 4, 2, 2, 3, 4, 4, 2, 2, 0, 2, 4, 3, 4, 0, 1, 1, 3, 4, 4, 0, 4, 2, 0, 4, 1, 4, 3, 1, 2, 4, 3, 4, 3, 4, 0, 2, 2, 4, 2, 4, 3, 3, 4, 0, 2, 0, 4, 1, 2, 4, 0, 1, 3, 4, 1, 1, 3, 4, 1, 2, 3, 4, 1, 2, 0, 2, 2, 2, 2, 3, 4, 1, 0, 2, 2, 0, 0, 4, 1, 4, 3, 2, 3, 3, 1, 1, 2, 1, 0, 4, 1, 4, 4, 3, 0, 0, 3, 0, 1, 3, 4, 0, 3, 0, 1, 2, 2, 4, 4, 1, 2, 1, 0, 2, 0, 4, 4, 1, 4, 2, 3, 4, 1, 2, 1, 3, 0, 3, 0, 0, 1, 1, 2, 4, 1, 1, 0, 0, 4, 4, 4, 0, 2, 3, 0, 2, 2, 4, 2, 3, 4, 1]
pubkeycol1197 = [1, 3, 1, 3, 4, 4, 2, 1, 3, 0, 2, 0, 1, 3, 1, 0, 3, 3, 3, 0, 0, 0, 1, 2, 2, 3, 3, 2, 3, 0, 2, 0, 4, 1, 0, 3, 1, 3, 0, 3, 0, 0, 4, 0, 2, 4, 3, 2, 0, 0, 4, 3, 1, 1, 0, 0, 3, 3, 4, 2, 0, 1, 4, 1, 0, 2, 2, 4, 2, 4, 3, 0, 3, 2, 1, 1, 3, 2, 3, 3, 0, 3, 2, 2, 2, 3, 3, 4, 4, 1, 1, 1, 3, 4, 1, 2, 1, 3, 0, 0, 0, 2, 1, 4, 1, 0, 2, 2, 4, 3, 0, 0, 0, 3, 1, 1, 0, 1, 0, 0, 1, 1, 4, 0, 2, 2, 4, 2, 3, 4, 4, 0, 1, 2, 1, 4, 2, 0, 1, 4, 4, 1, 0, 4, 4, 4, 3, 1, 1, 2, 3, 3, 3, 1, 4, 3, 2, 1, 4, 3, 3, 4, 4, 2, 3, 0, 1, 0, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 2, 4, 3, 0, 3, 2, 1, 1, 1, 2, 3, 4, 0, 4, 3, 0, 2, 3, 2, 0, 4, 2, 0, 2, 2, 1, 1, 1, 2, 4, 4, 2, 0, 4, 1, 3, 0, 3, 4, 2, 0, 0, 4, 0, 2, 0, 1, 4, 1, 3, 4, 4, 1, 1, 4, 0, 4, 2, 1, 1, 0, 3, 0, 1, 2, 4, 4, 0, 4, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 3, 4, 2, 3, 3, 1, 2, 2, 4, 4, 4, 3, 4, 4, 3, 2, 4, 0, 2, 3, 2, 0, 1, 0, 4, 3, 2, 0, 0, 2, 2, 0, 1, 1, 4, 0, 0, 1, 4, 2, 3, 2, 4, 2, 0, 2, 2, 3, 0, 3, 0, 2, 1, 3, 3, 4, 3, 0, 1, 1, 4, 2, 0, 0, 2, 3, 3, 4, 1, 2, 3, 4, 2, 1, 2, 0, 0, 1, 0, 3, 2, 1, 4, 0, 3, 3, 4, 4, 3, 1, 1, 1, 0, 0, 2, 1, 2, 3, 2, 3, 2, 1, 1, 1, 1, 3, 0, 2, 3, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 4, 2, 0, 0, 0, 0, 2, 0, 3, 1, 0, 0, 1, 3, 0, 2, 1, 0, 1, 0, 1]
pubkeycol1198 = [0, 1, 4, 3, 3, 2, 2, 3, 3, 3, 0, 4, 3, 1, 0, 3, 4, 0, 4, 0, 0, 3, 3, 2, 1, 1, 1, 2, 4, 1, 3, 1, 3, 4, 3, 1, 1, 2, 1, 3, 2, 3, 1, 4, 1, 1, 3, 1, 4, 3, 0, 4, 3, 2, 1, 3, 0, 1, 0, 1, 0, 1, 4, 0, 1, 1, 4, 2, 1, 0, 0, 1, 4, 2, 2, 0, 2, 0, 1, 4, 0, 4, 2, 3, 1, 2, 4, 1, 2, 3, 4, 0, 1, 4, 1, 3, 2, 1, 2, 4, 0, 2, 4, 0, 2, 2, 0, 1, 3, 1, 4, 1, 1, 2, 2, 2, 4, 0, 4, 3, 2, 4, 0, 1, 0, 4, 0, 1, 2, 2, 4, 2, 2, 3, 0, 3, 0, 0, 3, 0, 2, 0, 1, 2, 0, 3, 3, 2, 4, 1, 3, 4, 1, 4, 2, 0, 2, 4, 2, 1, 0, 4, 0, 4, 0, 3, 0, 3, 4, 0, 4, 1, 0, 1, 4, 4, 1, 3, 3, 3, 4, 0, 3, 0, 3, 2, 0, 4, 4, 0, 4, 4, 4, 3, 3, 4, 2, 1, 3, 2, 4, 2, 0, 4, 2, 2, 0, 2, 2, 0, 0, 3, 1, 3, 3, 4, 0, 1, 3, 1, 1, 0, 2, 2, 2, 4, 2, 2, 2, 4, 4, 1, 1, 4, 0, 1, 2, 0, 1, 4, 4, 3, 1, 0, 4, 0, 4, 3, 2, 4, 3, 0, 2, 2, 2, 3, 0, 0, 4, 0, 3, 1, 3, 4, 2, 3, 3, 3, 0, 0, 4, 4, 3, 4, 3, 0, 1, 3, 0, 1, 1, 3, 4, 2, 2, 2, 4, 4, 2, 3, 2, 1, 0, 0, 2, 4, 2, 0, 4, 4, 2, 4, 4, 2, 0, 4, 4, 0, 2, 4, 2, 4, 2, 3, 1, 0, 1, 1, 0, 1, 3, 4, 3, 1, 2, 3, 4, 2, 1, 2, 4, 2, 0, 4, 1, 0, 1, 2, 0, 3, 2, 1, 1, 0, 4, 1, 0, 1, 1, 2, 3, 1, 0, 4, 3, 0, 3, 3, 1, 3, 1, 1, 4, 0, 3, 4, 1, 3, 3, 2, 2, 1, 0, 0, 1, 4, 0, 1, 4, 2, 3, 0, 0, 4, 4, 1, 2, 1, 3, 2, 1, 0, 0, 4, 2, 1, 4, 3, 0, 4]
pubkeycol1199 = [1, 0, 4, 1, 3, 1, 2, 2, 0, 2, 0, 2, 1, 4, 1, 2, 1, 2, 3, 3, 0, 0, 4, 2, 2, 0, 0, 4, 4, 3, 0, 1, 1, 1, 3, 3, 1, 2, 4, 0, 0, 2, 2, 2, 3, 1, 0, 0, 3, 4, 2, 3, 3, 0, 4, 1, 0, 0, 2, 0, 4, 4, 0, 2, 4, 1, 3, 1, 1, 2, 2, 1, 1, 2, 3, 4, 2, 3, 1, 4, 4, 0, 4, 1, 0, 3, 1, 1, 3, 3, 1, 0, 3, 2, 2, 0, 3, 3, 1, 3, 1, 3, 3, 3, 2, 4, 0, 1, 3, 0, 2, 3, 1, 4, 0, 4, 3, 4, 4, 4, 1, 4, 1, 3, 0, 0, 0, 1, 1, 0, 4, 1, 4, 1, 2, 3, 2, 4, 1, 1, 2, 0, 1, 4, 4, 3, 2, 0, 3, 0, 2, 0, 4, 2, 1, 4, 3, 2, 1, 2, 0, 0, 4, 0, 3, 3, 2, 3, 3, 4, 2, 3, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 3, 4, 3, 1, 3, 3, 4, 0, 1, 1, 1, 2, 4, 1, 2, 3, 4, 4, 4, 0, 3, 1, 0, 4, 2, 1, 4, 2, 0, 3, 2, 0, 3, 4, 2, 0, 1, 1, 1, 0, 0, 4, 2, 2, 0, 2, 0, 2, 2, 3, 2, 1, 1, 0, 1, 4, 4, 4, 3, 1, 1, 0, 4, 3, 1, 0, 0, 2, 4, 1, 1, 2, 0, 4, 4, 3, 4, 3, 2, 0, 0, 3, 0, 2, 4, 2, 1, 3, 2, 2, 1, 2, 0, 0, 3, 1, 3, 4, 1, 1, 1, 4, 4, 2, 2, 2, 2, 3, 3, 1, 2, 2, 1, 4, 1, 4, 1, 1, 3, 4, 3, 1, 4, 4, 0, 4, 2, 0, 0, 1, 1, 1, 1, 4, 2, 4, 2, 3, 0, 3, 3, 4, 1, 4, 4, 2, 2, 2, 0, 2, 0, 4, 3, 4, 3, 4, 4, 1, 4, 1, 2, 0, 0, 2, 2, 3, 3, 2, 3, 0, 1, 1, 3, 4, 2, 4, 2, 4, 3, 2, 2, 3, 3, 1, 0, 3, 3, 4, 3, 1, 1, 2, 1, 4, 2, 2, 4, 4, 4, 3, 1, 2, 3, 0, 2, 0, 1, 1, 3, 4, 4, 1, 2, 3, 2, 3, 3, 0]
pubkeycol1200 = [3, 1, 4, 2, 2, 2, 3, 3, 1, 1, 3, 1, 0, 3, 2, 4, 4, 4, 0, 4, 4, 2, 4, 3, 0, 2, 0, 1, 2, 1, 0, 0, 4, 4, 4, 0, 1, 4, 2, 0, 3, 3, 0, 2, 2, 2, 0, 4, 4, 3, 4, 3, 2, 1, 4, 0, 0, 0, 4, 0, 1, 2, 3, 1, 4, 4, 0, 0, 2, 1, 3, 1, 0, 1, 4, 4, 1, 4, 1, 1, 1, 4, 1, 3, 1, 1, 4, 3, 2, 0, 2, 1, 3, 4, 2, 4, 0, 3, 4, 3, 3, 1, 0, 4, 4, 0, 4, 2, 1, 1, 1, 3, 2, 3, 4, 4, 2, 1, 2, 2, 3, 1, 4, 1, 0, 2, 3, 3, 3, 2, 2, 3, 0, 2, 2, 1, 3, 0, 1, 4, 1, 2, 4, 0, 2, 0, 2, 2, 4, 2, 0, 4, 3, 3, 3, 2, 4, 4, 3, 3, 4, 3, 0, 3, 3, 3, 0, 2, 0, 2, 0, 2, 1, 2, 4, 0, 3, 0, 2, 4, 0, 1, 1, 2, 2, 0, 2, 4, 3, 1, 0, 4, 0, 3, 4, 0, 3, 2, 4, 2, 2, 3, 3, 3, 2, 2, 2, 4, 3, 2, 3, 0, 3, 2, 2, 3, 2, 1, 3, 3, 2, 3, 3, 3, 2, 2, 2, 0, 1, 4, 3, 3, 3, 1, 4, 2, 4, 3, 0, 1, 1, 2, 1, 0, 2, 4, 2, 0, 1, 2, 1, 1, 3, 3, 3, 0, 3, 2, 3, 0, 3, 2, 3, 4, 1, 1, 4, 2, 4, 2, 2, 2, 0, 1, 4, 4, 0, 4, 0, 4, 3, 0, 2, 0, 1, 2, 1, 2, 1, 2, 3, 4, 2, 1, 0, 2, 2, 3, 0, 0, 3, 0, 3, 1, 4, 0, 3, 2, 3, 2, 0, 4, 2, 4, 2, 0, 4, 4, 3, 3, 1, 4, 0, 0, 1, 1, 1, 0, 0, 4, 4, 1, 4, 3, 1, 2, 0, 0, 0, 1, 1, 3, 4, 3, 3, 2, 2, 4, 1, 1, 3, 2, 2, 1, 2, 1, 2, 4, 3, 0, 2, 1, 3, 1, 2, 3, 4, 0, 3, 2, 2, 2, 4, 1, 4, 1, 0, 1, 0, 0, 1, 3, 4, 3, 3, 2, 3, 4, 3, 0, 0, 3, 1, 1, 3, 4, 2, 2, 4, 4]
pubkeycol1201 = [3, 0, 1, 2, 4, 3, 4, 1, 1, 3, 4, 2, 1, 1, 2, 3, 2, 4, 3, 4, 0, 2, 2, 4, 4, 3, 3, 2, 3, 1, 3, 4, 3, 2, 1, 0, 4, 2, 3, 0, 2, 3, 2, 2, 1, 1, 0, 1, 2, 1, 3, 2, 0, 0, 2, 0, 4, 4, 2, 1, 1, 0, 2, 3, 3, 3, 4, 3, 3, 0, 3, 1, 4, 0, 3, 4, 3, 4, 4, 2, 3, 3, 4, 4, 3, 0, 4, 2, 3, 2, 1, 0, 0, 3, 1, 0, 1, 0, 0, 2, 3, 0, 4, 0, 0, 4, 0, 1, 2, 3, 3, 4, 3, 0, 1, 2, 1, 1, 1, 0, 0, 3, 4, 2, 3, 0, 4, 4, 0, 4, 3, 1, 3, 2, 0, 3, 3, 0, 4, 4, 0, 2, 2, 4, 3, 4, 3, 1, 4, 3, 0, 3, 4, 4, 4, 0, 2, 3, 0, 2, 3, 4, 2, 4, 2, 2, 1, 3, 3, 1, 3, 1, 0, 3, 0, 1, 1, 2, 1, 2, 4, 4, 4, 0, 1, 4, 4, 1, 2, 1, 0, 4, 4, 4, 4, 1, 1, 3, 3, 3, 0, 2, 1, 0, 4, 0, 4, 4, 4, 0, 4, 1, 2, 2, 1, 2, 2, 2, 2, 0, 3, 2, 4, 1, 1, 4, 2, 4, 1, 4, 1, 2, 2, 2, 1, 2, 0, 3, 1, 0, 0, 0, 3, 3, 0, 0, 0, 3, 4, 2, 2, 0, 4, 3, 4, 4, 0, 1, 3, 0, 0, 1, 0, 3, 4, 3, 2, 4, 0, 1, 2, 2, 2, 4, 2, 1, 1, 1, 1, 4, 2, 1, 3, 4, 3, 3, 2, 0, 3, 1, 3, 3, 1, 4, 1, 2, 0, 1, 1, 4, 1, 3, 4, 2, 0, 0, 3, 4, 1, 0, 3, 4, 3, 0, 1, 0, 2, 1, 2, 4, 4, 4, 1, 4, 0, 3, 1, 3, 2, 0, 2, 1, 2, 1, 1, 0, 4, 3, 1, 4, 2, 1, 3, 0, 0, 4, 0, 1, 2, 2, 2, 0, 3, 3, 0, 2, 1, 4, 0, 0, 2, 1, 3, 2, 3, 4, 0, 3, 1, 4, 2, 3, 0, 4, 0, 1, 4, 1, 3, 3, 4, 2, 1, 0, 3, 3, 0, 0, 3, 2, 2, 2, 4, 4, 4, 1, 2, 0, 4, 4]
pubkeycol1202 = [1, 2, 4, 0, 4, 0, 2, 4, 3, 3, 4, 0, 0, 3, 1, 4, 0, 1, 4, 1, 0, 4, 3, 0, 2, 4, 4, 3, 1, 1, 0, 2, 2, 3, 0, 3, 3, 0, 2, 0, 2, 1, 2, 3, 3, 3, 0, 1, 4, 2, 1, 0, 4, 2, 4, 0, 3, 3, 1, 0, 2, 2, 2, 2, 0, 3, 3, 0, 2, 2, 1, 2, 0, 2, 0, 4, 1, 4, 3, 4, 4, 2, 0, 4, 3, 4, 2, 1, 4, 3, 3, 3, 0, 2, 2, 2, 1, 2, 4, 4, 4, 2, 4, 3, 1, 3, 4, 3, 2, 4, 2, 0, 0, 1, 2, 0, 0, 4, 0, 4, 2, 2, 1, 4, 3, 0, 4, 1, 0, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 1, 3, 3, 1, 4, 4, 4, 0, 0, 0, 0, 2, 1, 0, 0, 4, 3, 2, 1, 3, 1, 3, 1, 0, 1, 3, 4, 4, 0, 0, 1, 2, 1, 0, 2, 0, 1, 3, 3, 0, 0, 4, 1, 1, 1, 2, 0, 0, 2, 0, 2, 3, 3, 1, 0, 2, 4, 4, 1, 1, 3, 0, 4, 0, 3, 2, 1, 2, 3, 2, 4, 0, 2, 2, 1, 0, 2, 4, 4, 4, 0, 2, 2, 3, 0, 4, 0, 4, 3, 1, 3, 0, 0, 4, 4, 1, 4, 2, 1, 2, 4, 0, 1, 4, 4, 2, 1, 1, 0, 2, 2, 3, 4, 4, 2, 1, 0, 3, 2, 0, 2, 2, 0, 4, 0, 1, 1, 0, 2, 1, 4, 0, 0, 4, 4, 2, 1, 2, 2, 2, 2, 2, 3, 0, 4, 0, 2, 1, 0, 1, 3, 4, 0, 2, 2, 4, 3, 2, 0, 3, 0, 3, 4, 1, 0, 4, 4, 0, 2, 2, 0, 3, 0, 4, 0, 1, 0, 1, 0, 2, 2, 4, 1, 4, 4, 2, 4, 3, 3, 1, 1, 2, 3, 1, 2, 0, 0, 1, 4, 2, 4, 2, 1, 1, 0, 3, 3, 4, 0, 4, 3, 4, 2, 4, 1, 3, 1, 4, 1, 0, 0, 4, 0, 1, 0, 4, 4, 3, 2, 4, 4, 1, 1, 2, 3, 1, 3, 4, 3, 1, 4, 2, 0, 0, 1, 4, 3, 4, 0, 2, 3, 3, 0, 0, 1, 2, 2, 2, 3]
pubkeycol1203 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 4, 3, 0, 1, 1, 2, 3, 1, 2, 0, 3, 4, 2, 4, 2, 0, 3, 2, 1, 0, 3, 0, 0, 0, 3, 3, 2, 2, 2, 1, 4, 1, 0, 2, 3, 2, 2, 1, 4, 4, 0, 3, 3, 0, 4, 1, 4, 0, 4, 1, 1, 0, 1, 4, 3, 3, 0, 0, 0, 3, 3, 0, 1, 4, 3, 0, 0, 3, 4, 0, 2, 1, 2, 2, 4, 4, 4, 2, 3, 1, 2, 1, 4, 0, 0, 3, 4, 2, 1, 1, 4, 3, 4, 0, 1, 1, 0, 2, 1, 4, 4, 2, 0, 3, 1, 3, 3, 0, 1, 2, 4, 1, 0, 4, 1, 1, 0, 3, 2, 1, 1, 3, 4, 0, 2, 0, 4, 0, 3, 0, 4, 1, 1, 3, 3, 4, 4, 2, 1, 2, 3, 3, 1, 4, 0, 2, 3, 0, 2, 0, 1, 4, 1, 0, 1, 4, 2, 4, 0, 3, 1, 4, 1, 0, 3, 3, 3, 4, 4, 3, 0, 4, 2, 1, 2, 0, 4, 2, 1, 1, 2, 0, 1, 2, 1, 1, 3, 1, 2, 4, 3, 3, 0, 4, 0, 3, 3, 2, 4, 2, 1, 3, 4, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 4, 1, 3, 2, 3, 3, 1, 2, 3, 2, 1, 1, 1, 0, 4, 3, 4, 2, 0, 3, 1, 1, 0, 1, 2, 2, 1, 3, 4, 2, 0, 1, 1, 2, 0, 3, 0, 4, 3, 1, 2, 2, 3, 0, 1, 3, 2, 4, 4, 4, 1, 4, 0, 0, 0, 0, 0, 4, 3, 0, 1, 4, 3, 2, 1, 3, 2, 0, 3, 4, 1, 0, 4, 3, 3, 4, 1, 1, 4, 3, 1, 3, 0, 2, 2, 0, 3, 3, 1, 3, 4, 3, 0, 2, 0, 3, 1, 0, 1, 2, 2, 1, 2, 3, 4, 4, 3, 0, 2, 4, 2, 0, 2, 4, 2, 1, 4, 1, 1, 1, 1, 4, 3, 0, 4, 0, 0, 3, 4, 2, 4, 2, 2, 4, 3, 0, 3, 2, 0, 3, 2, 4, 4, 2, 0, 0, 3, 4, 2, 4, 0, 2, 3, 3, 3, 0, 4, 4, 2, 2, 2, 1, 2, 1, 3, 2, 4, 4, 3, 3, 0, 4, 3, 0, 1, 0, 4, 1]
pubkeycol1204 = [1, 4, 3, 0, 4, 1, 4, 1, 1, 0, 3, 3, 1, 0, 4, 4, 4, 0, 1, 4, 0, 0, 2, 3, 4, 3, 3, 2, 4, 3, 0, 1, 1, 2, 4, 2, 4, 4, 2, 1, 2, 1, 4, 1, 2, 2, 3, 3, 4, 1, 2, 3, 4, 2, 1, 4, 2, 1, 2, 0, 4, 0, 3, 3, 3, 0, 4, 4, 2, 4, 0, 4, 3, 3, 3, 3, 3, 3, 1, 4, 0, 1, 3, 4, 1, 0, 4, 1, 2, 3, 3, 3, 4, 0, 0, 1, 2, 4, 1, 4, 3, 1, 1, 1, 2, 4, 3, 4, 3, 0, 1, 2, 3, 0, 4, 2, 1, 2, 3, 4, 0, 1, 0, 1, 1, 3, 2, 3, 3, 0, 0, 3, 4, 0, 2, 4, 0, 2, 4, 4, 0, 2, 0, 0, 3, 1, 0, 0, 0, 4, 2, 3, 4, 0, 0, 3, 2, 4, 2, 4, 0, 4, 0, 1, 2, 0, 0, 3, 0, 1, 2, 2, 1, 0, 2, 2, 3, 3, 4, 0, 4, 0, 0, 3, 2, 0, 1, 3, 2, 3, 2, 0, 1, 3, 4, 1, 2, 0, 4, 0, 1, 2, 3, 0, 3, 3, 1, 0, 1, 3, 3, 2, 0, 4, 3, 0, 4, 3, 1, 4, 0, 1, 4, 4, 2, 0, 0, 2, 3, 1, 2, 4, 2, 1, 0, 3, 1, 0, 2, 4, 3, 4, 2, 0, 2, 3, 2, 2, 0, 1, 4, 3, 1, 3, 0, 3, 0, 0, 4, 3, 1, 3, 0, 1, 4, 0, 0, 3, 4, 1, 2, 4, 2, 4, 0, 1, 3, 0, 2, 2, 1, 0, 3, 0, 3, 2, 2, 4, 3, 0, 1, 3, 0, 1, 2, 2, 0, 4, 4, 1, 3, 4, 4, 0, 2, 3, 4, 4, 3, 3, 2, 3, 4, 1, 0, 2, 2, 1, 4, 0, 1, 1, 4, 3, 4, 0, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 1, 4, 2, 1, 4, 3, 0, 0, 2, 4, 1, 0, 0, 4, 2, 3, 1, 2, 2, 3, 3, 4, 4, 0, 3, 2, 1, 1, 2, 1, 2, 4, 3, 0, 2, 2, 4, 2, 0, 2, 4, 2, 3, 1, 3, 2, 2, 0, 2, 3, 3, 3, 2, 4, 2, 0, 0, 2, 1, 1, 0, 1, 3]
pubkeycol1205 = [2, 2, 2, 2, 4, 3, 0, 1, 4, 3, 3, 3, 0, 4, 3, 3, 1, 4, 4, 4, 1, 2, 0, 1, 3, 1, 1, 0, 0, 3, 3, 0, 4, 4, 1, 1, 0, 1, 2, 2, 4, 0, 4, 1, 2, 4, 3, 1, 2, 2, 3, 4, 2, 4, 3, 4, 2, 4, 1, 1, 3, 0, 2, 4, 4, 3, 0, 3, 3, 1, 2, 1, 4, 0, 0, 4, 0, 3, 3, 4, 2, 2, 3, 4, 1, 0, 4, 2, 2, 1, 1, 4, 0, 1, 2, 1, 0, 1, 0, 2, 4, 4, 4, 3, 4, 2, 2, 1, 4, 1, 0, 2, 0, 3, 4, 2, 3, 1, 1, 1, 4, 4, 1, 3, 0, 1, 4, 1, 3, 3, 4, 0, 0, 2, 2, 3, 2, 4, 1, 1, 0, 2, 2, 2, 1, 3, 0, 1, 1, 2, 3, 0, 3, 4, 0, 0, 2, 4, 3, 0, 4, 1, 4, 2, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 0, 1, 3, 0, 1, 4, 4, 3, 3, 1, 2, 3, 1, 0, 3, 3, 4, 4, 1, 0, 2, 0, 0, 1, 4, 3, 4, 2, 0, 2, 1, 3, 0, 4, 3, 3, 1, 3, 3, 3, 0, 2, 4, 2, 1, 2, 4, 4, 3, 4, 0, 0, 1, 1, 3, 0, 0, 0, 4, 3, 3, 2, 1, 2, 1, 4, 1, 1, 2, 3, 1, 0, 0, 3, 0, 2, 3, 4, 2, 4, 3, 4, 2, 0, 0, 3, 0, 1, 2, 0, 0, 1, 2, 3, 4, 3, 3, 2, 2, 2, 1, 0, 3, 3, 4, 2, 1, 2, 0, 1, 1, 4, 1, 4, 4, 2, 1, 0, 1, 3, 1, 1, 1, 0, 4, 0, 1, 2, 0, 2, 4, 4, 2, 3, 1, 1, 4, 4, 4, 3, 3, 3, 4, 2, 0, 0, 2, 3, 2, 1, 3, 0, 4, 0, 2, 2, 2, 2, 3, 1, 0, 0, 3, 0, 4, 1, 3, 4, 2, 2, 4, 2, 2, 2, 3, 4, 2, 3, 4, 3, 2, 2, 2, 4, 2, 4, 2, 4, 1, 4, 1, 2, 4, 2, 4, 3, 3, 0, 0, 3, 0, 4, 0, 3, 3, 0, 2, 2, 2, 4, 2, 3, 2, 1, 2, 1, 0, 3, 1, 0, 1, 0, 3, 2, 2, 1]
pubkeycol1206 = [1, 0, 4, 4, 3, 3, 2, 1, 1, 2, 2, 1, 1, 1, 4, 1, 2, 0, 3, 0, 0, 4, 3, 1, 3, 2, 0, 2, 1, 3, 0, 3, 1, 2, 3, 4, 3, 4, 0, 4, 3, 4, 1, 1, 3, 3, 0, 2, 0, 3, 4, 2, 3, 3, 4, 2, 2, 1, 1, 1, 2, 2, 3, 0, 2, 3, 1, 0, 0, 4, 1, 2, 3, 0, 0, 3, 1, 0, 1, 0, 4, 0, 2, 3, 2, 0, 3, 3, 0, 2, 1, 0, 4, 1, 1, 3, 0, 0, 1, 1, 2, 3, 2, 4, 4, 2, 0, 1, 4, 2, 3, 3, 0, 3, 4, 2, 0, 0, 4, 0, 1, 4, 0, 4, 3, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 3, 3, 0, 4, 1, 0, 4, 3, 3, 4, 0, 4, 1, 2, 3, 0, 1, 3, 3, 3, 3, 0, 1, 0, 3, 2, 4, 0, 1, 0, 3, 3, 3, 2, 0, 1, 1, 3, 3, 0, 3, 2, 2, 0, 4, 3, 2, 0, 2, 4, 0, 0, 3, 2, 3, 1, 0, 3, 1, 4, 2, 0, 2, 4, 2, 3, 1, 4, 4, 1, 0, 4, 0, 1, 0, 1, 3, 4, 2, 3, 3, 3, 3, 3, 0, 1, 3, 4, 0, 3, 0, 2, 1, 0, 0, 2, 3, 1, 3, 1, 3, 0, 4, 1, 3, 3, 2, 0, 3, 1, 0, 2, 1, 2, 1, 4, 3, 3, 1, 2, 2, 3, 2, 0, 2, 0, 3, 0, 3, 0, 4, 1, 2, 2, 4, 1, 2, 4, 1, 3, 3, 3, 1, 1, 2, 4, 2, 1, 2, 2, 1, 3, 1, 4, 4, 4, 3, 3, 4, 4, 3, 4, 2, 4, 1, 3, 2, 1, 4, 1, 3, 4, 1, 4, 0, 0, 4, 0, 1, 1, 0, 4, 0, 4, 4, 2, 2, 3, 4, 3, 4, 4, 4, 0, 0, 0, 1, 0, 3, 4, 1, 3, 4, 3, 4, 0, 2, 3, 3, 4, 3, 1, 2, 2, 4, 3, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 3, 3, 2, 4, 0, 0, 2, 3, 3, 3, 4, 3, 3, 4, 1, 3, 0, 2, 3, 3, 4, 3, 1, 4, 2, 2, 0, 3, 3, 2, 2, 0, 4, 4, 0, 2, 2, 4, 0]
pubkeycol1207 = [2, 2, 1, 0, 2, 2, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 4, 4, 1, 2, 4, 4, 0, 4, 2, 0, 4, 2, 1, 3, 0, 0, 1, 1, 4, 3, 3, 1, 2, 1, 1, 0, 3, 4, 2, 4, 0, 3, 1, 2, 0, 1, 1, 3, 1, 4, 0, 2, 4, 0, 0, 3, 4, 1, 4, 0, 0, 0, 4, 1, 4, 3, 0, 1, 2, 1, 0, 4, 2, 3, 0, 4, 3, 1, 1, 1, 2, 0, 3, 1, 0, 0, 4, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 3, 2, 2, 3, 0, 0, 1, 4, 4, 1, 2, 2, 0, 3, 1, 3, 3, 4, 1, 2, 3, 0, 2, 2, 1, 2, 1, 2, 4, 3, 0, 4, 2, 3, 3, 0, 0, 1, 1, 2, 4, 0, 0, 1, 4, 2, 0, 2, 3, 4, 3, 1, 3, 4, 0, 4, 3, 0, 1, 4, 0, 2, 3, 4, 2, 1, 3, 2, 2, 4, 4, 2, 2, 3, 4, 0, 3, 0, 2, 4, 0, 1, 1, 1, 3, 0, 3, 4, 3, 3, 0, 4, 1, 2, 1, 2, 1, 4, 1, 4, 3, 1, 3, 1, 0, 4, 2, 3, 2, 2, 3, 2, 4, 2, 2, 0, 3, 0, 0, 0, 3, 1, 1, 3, 0, 3, 1, 1, 1, 1, 1, 3, 0, 3, 0, 3, 0, 2, 0, 1, 0, 1, 1, 4, 1, 3, 4, 2, 3, 4, 0, 0, 0, 4, 1, 2, 2, 4, 0, 4, 3, 4, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 4, 4, 2, 1, 3, 3, 2, 3, 0, 4, 4, 3, 3, 3, 0, 1, 1, 3, 0, 0, 0, 1, 2, 4, 3, 3, 4, 2, 1, 1, 1, 0, 3, 2, 2, 2, 2, 1, 0, 1, 2, 0, 4, 4, 4, 3, 1, 3, 3, 3, 0, 2, 0, 0, 0, 1, 1, 3, 2, 3, 1, 4, 0, 3, 4, 2, 2, 4, 2, 1, 4, 4, 0, 1, 0, 2, 2, 1, 2, 1, 4, 0, 2, 4, 1, 3, 0, 4, 1, 0, 4, 4, 3, 1, 3, 4, 2, 2, 2, 2, 0, 1, 4, 1, 3, 0, 0, 2, 2, 3, 3, 2, 3, 1, 1, 0, 1, 0, 1, 4, 1, 2, 2, 0, 1]
pubkeycol1208 = [4, 2, 4, 2, 1, 1, 1, 2, 1, 0, 1, 3, 0, 2, 0, 4, 2, 4, 3, 2, 2, 0, 3, 3, 1, 1, 0, 2, 3, 1, 4, 4, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 3, 2, 0, 2, 4, 4, 3, 0, 2, 4, 2, 1, 1, 3, 1, 4, 1, 3, 3, 0, 3, 2, 0, 2, 4, 1, 0, 2, 0, 3, 2, 0, 3, 1, 2, 0, 3, 3, 0, 4, 1, 0, 0, 3, 3, 2, 3, 0, 1, 1, 4, 1, 1, 2, 3, 3, 4, 0, 0, 4, 0, 2, 1, 2, 1, 0, 1, 4, 4, 0, 0, 2, 0, 2, 4, 1, 4, 1, 4, 3, 2, 4, 3, 1, 4, 0, 2, 3, 0, 4, 0, 0, 4, 3, 1, 4, 3, 2, 1, 2, 2, 4, 2, 4, 2, 3, 1, 0, 3, 4, 1, 1, 4, 2, 4, 0, 2, 1, 2, 0, 4, 1, 0, 0, 2, 3, 3, 1, 2, 2, 2, 0, 2, 0, 0, 4, 1, 0, 4, 3, 3, 1, 0, 1, 2, 2, 3, 1, 3, 3, 0, 1, 3, 1, 1, 2, 3, 0, 3, 3, 3, 2, 3, 4, 0, 3, 0, 1, 0, 0, 3, 1, 4, 4, 4, 1, 1, 0, 3, 4, 4, 4, 3, 2, 1, 2, 3, 0, 2, 4, 3, 1, 0, 2, 2, 2, 2, 1, 0, 4, 3, 4, 3, 0, 4, 4, 4, 1, 1, 0, 1, 1, 1, 1, 4, 2, 1, 3, 1, 1, 1, 0, 4, 2, 0, 0, 2, 0, 0, 0, 0, 4, 4, 3, 1, 2, 1, 1, 1, 0, 0, 3, 3, 1, 0, 0, 3, 3, 3, 2, 1, 1, 3, 2, 1, 0, 1, 1, 4, 3, 3, 0, 1, 3, 1, 2, 0, 4, 4, 0, 3, 2, 0, 3, 3, 3, 2, 2, 2, 3, 4, 0, 0, 1, 4, 0, 3, 2, 2, 2, 1, 2, 0, 3, 4, 2, 0, 3, 4, 0, 4, 3, 4, 2, 1, 3, 1, 4, 0, 1, 1, 0, 0, 4, 1, 0, 0, 0, 0, 1, 2, 2, 0, 3, 4, 2, 0, 3, 1, 0, 0, 4, 2, 2, 2, 0, 0, 3, 2, 2, 4, 0, 3, 3, 2, 4, 3, 1, 1, 1, 2, 3, 1, 3, 2]
pubkeycol1209 = [3, 2, 1, 1, 2, 2, 1, 3, 1, 0, 2, 1, 0, 2, 1, 4, 1, 1, 3, 1, 3, 0, 3, 1, 3, 0, 0, 3, 2, 2, 1, 1, 4, 3, 0, 0, 0, 0, 3, 2, 0, 4, 1, 3, 3, 1, 2, 1, 1, 4, 2, 1, 3, 4, 3, 3, 3, 4, 1, 0, 1, 2, 1, 0, 2, 4, 3, 4, 0, 3, 1, 3, 3, 1, 0, 2, 4, 0, 1, 4, 3, 1, 4, 4, 0, 3, 0, 0, 3, 4, 2, 1, 3, 3, 0, 1, 3, 4, 4, 3, 4, 3, 1, 4, 4, 0, 3, 1, 4, 0, 2, 3, 4, 1, 2, 2, 4, 4, 2, 1, 3, 0, 2, 1, 2, 2, 4, 1, 2, 0, 4, 2, 3, 2, 4, 4, 3, 4, 3, 3, 0, 4, 4, 4, 3, 1, 3, 4, 3, 2, 2, 1, 4, 0, 0, 3, 0, 4, 0, 1, 1, 4, 3, 2, 1, 0, 1, 0, 3, 0, 4, 3, 4, 0, 0, 2, 4, 1, 3, 0, 1, 4, 0, 4, 2, 3, 0, 0, 0, 3, 1, 0, 1, 2, 0, 3, 0, 2, 3, 2, 1, 2, 4, 1, 3, 0, 0, 3, 2, 2, 2, 2, 1, 3, 3, 1, 2, 4, 2, 0, 3, 0, 4, 2, 3, 4, 4, 2, 4, 0, 1, 3, 0, 4, 2, 3, 2, 1, 3, 2, 2, 3, 4, 1, 3, 1, 2, 4, 4, 4, 2, 1, 4, 1, 3, 4, 2, 0, 3, 2, 0, 3, 4, 2, 4, 2, 2, 3, 2, 4, 1, 4, 3, 0, 1, 2, 4, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 3, 2, 4, 3, 0, 3, 4, 1, 4, 4, 1, 4, 1, 2, 4, 2, 2, 0, 4, 0, 2, 2, 0, 0, 4, 1, 1, 0, 3, 1, 4, 3, 1, 4, 2, 1, 4, 4, 4, 1, 4, 4, 4, 4, 0, 3, 1, 2, 3, 3, 3, 1, 4, 4, 2, 3, 4, 3, 4, 0, 0, 0, 1, 3, 2, 2, 0, 4, 4, 3, 2, 4, 4, 4, 4, 4, 2, 0, 2, 0, 4, 0, 4, 4, 2, 4, 0, 0, 2, 1, 2, 4, 3, 2, 3, 1, 4, 0, 2, 3, 1, 0, 4, 1, 3, 2, 1, 0, 3, 3, 4, 4, 1]
pubkeycol1210 = [0, 0, 0, 2, 1, 4, 0, 0, 0, 2, 4, 2, 3, 0, 4, 2, 2, 3, 2, 3, 1, 1, 1, 4, 2, 3, 0, 1, 3, 1, 2, 4, 0, 3, 3, 4, 3, 1, 0, 4, 1, 3, 2, 1, 1, 4, 4, 2, 0, 1, 0, 3, 2, 4, 4, 2, 2, 2, 0, 0, 3, 0, 0, 3, 4, 2, 0, 0, 1, 2, 0, 1, 3, 4, 1, 0, 0, 1, 4, 0, 3, 2, 2, 2, 4, 1, 4, 1, 4, 0, 4, 1, 2, 4, 1, 3, 1, 4, 2, 1, 4, 3, 2, 4, 1, 4, 2, 2, 4, 1, 2, 4, 0, 4, 2, 3, 0, 1, 4, 2, 3, 3, 0, 3, 3, 4, 4, 3, 4, 3, 4, 3, 2, 2, 3, 0, 3, 1, 4, 1, 2, 0, 0, 3, 1, 0, 3, 0, 3, 3, 1, 0, 4, 2, 3, 0, 3, 0, 0, 3, 3, 0, 2, 2, 4, 1, 3, 0, 1, 1, 1, 4, 3, 1, 3, 3, 1, 4, 0, 3, 1, 2, 2, 4, 3, 0, 4, 1, 2, 4, 1, 3, 2, 1, 0, 0, 1, 4, 3, 4, 0, 1, 4, 0, 2, 2, 1, 4, 1, 3, 0, 3, 0, 3, 4, 0, 2, 0, 0, 4, 3, 0, 3, 3, 1, 3, 0, 2, 3, 3, 3, 4, 0, 0, 4, 0, 1, 0, 2, 1, 0, 4, 4, 3, 4, 2, 4, 3, 1, 0, 0, 3, 2, 0, 0, 0, 3, 0, 0, 1, 3, 0, 3, 3, 3, 3, 3, 4, 4, 2, 1, 0, 2, 3, 0, 1, 4, 2, 4, 4, 1, 4, 2, 4, 1, 3, 4, 1, 0, 2, 4, 1, 1, 0, 0, 1, 2, 3, 2, 1, 4, 2, 3, 2, 4, 1, 3, 1, 2, 2, 4, 4, 4, 3, 0, 2, 4, 2, 1, 0, 2, 0, 2, 4, 3, 1, 3, 0, 2, 4, 2, 1, 0, 1, 2, 3, 4, 0, 0, 4, 2, 0, 4, 1, 2, 3, 1, 3, 2, 3, 1, 4, 0, 3, 3, 3, 1, 1, 3, 0, 1, 1, 1, 4, 1, 1, 1, 4, 3, 2, 3, 4, 3, 2, 1, 3, 1, 1, 3, 2, 4, 0, 0, 1, 1, 1, 0, 4, 3, 0, 0, 0, 0, 2, 0, 3, 0, 2, 1, 2]
pubkeycol1211 = [3, 2, 3, 3, 2, 3, 1, 3, 1, 1, 1, 4, 2, 4, 4, 2, 2, 2, 4, 4, 4, 0, 1, 1, 4, 0, 4, 4, 4, 0, 2, 1, 0, 4, 0, 2, 2, 1, 3, 3, 2, 4, 2, 1, 4, 1, 3, 1, 0, 3, 4, 2, 0, 1, 4, 1, 0, 1, 0, 4, 4, 1, 4, 3, 0, 3, 3, 4, 0, 4, 1, 0, 0, 3, 4, 2, 0, 4, 1, 4, 4, 2, 4, 3, 2, 1, 3, 2, 4, 0, 3, 3, 4, 3, 3, 2, 2, 4, 1, 2, 0, 2, 0, 3, 2, 4, 0, 0, 1, 3, 1, 3, 4, 3, 1, 0, 2, 4, 1, 4, 0, 3, 0, 2, 3, 0, 3, 2, 3, 0, 0, 1, 0, 2, 2, 2, 1, 3, 4, 1, 2, 4, 0, 4, 1, 4, 0, 4, 4, 2, 4, 3, 1, 4, 2, 0, 3, 1, 2, 4, 4, 2, 2, 3, 1, 1, 3, 4, 2, 3, 2, 4, 3, 0, 3, 3, 1, 1, 2, 2, 0, 4, 1, 2, 4, 0, 2, 2, 3, 2, 2, 3, 0, 2, 4, 0, 1, 3, 3, 1, 3, 3, 3, 3, 0, 2, 4, 3, 3, 3, 0, 4, 4, 0, 3, 3, 0, 2, 0, 1, 4, 1, 1, 3, 1, 4, 2, 0, 4, 3, 2, 1, 1, 4, 1, 1, 2, 0, 4, 3, 3, 0, 3, 0, 3, 3, 1, 1, 0, 1, 0, 1, 1, 4, 1, 0, 2, 2, 0, 2, 2, 4, 2, 1, 2, 4, 4, 1, 0, 2, 1, 3, 4, 4, 0, 4, 2, 1, 1, 2, 3, 0, 3, 2, 2, 1, 0, 4, 1, 3, 4, 4, 3, 0, 4, 1, 0, 3, 2, 0, 2, 3, 1, 2, 3, 3, 1, 2, 3, 3, 3, 2, 1, 2, 1, 4, 4, 2, 3, 3, 4, 0, 4, 3, 3, 0, 3, 0, 2, 4, 1, 1, 2, 0, 0, 0, 0, 4, 1, 3, 4, 1, 2, 3, 4, 4, 4, 0, 4, 2, 4, 0, 2, 1, 3, 0, 2, 3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 4, 0, 4, 4, 4, 4, 4, 1, 2, 4, 3, 2, 4, 1, 2, 0, 0, 1, 2, 3, 4, 0, 1, 3, 1, 3, 1, 3, 4, 0, 3, 2, 4]
pubkeycol1212 = [0, 3, 3, 3, 4, 0, 0, 1, 3, 0, 0, 2, 4, 0, 2, 2, 1, 4, 4, 2, 1, 1, 0, 4, 2, 2, 2, 1, 4, 1, 1, 4, 3, 3, 1, 1, 4, 3, 0, 2, 4, 4, 2, 2, 4, 2, 4, 0, 2, 3, 3, 0, 2, 3, 0, 4, 0, 3, 2, 4, 2, 1, 3, 1, 0, 1, 3, 0, 4, 2, 1, 3, 2, 1, 2, 3, 3, 0, 4, 4, 2, 2, 0, 1, 0, 3, 0, 2, 4, 3, 1, 4, 3, 0, 0, 4, 1, 0, 4, 3, 1, 2, 4, 2, 4, 2, 2, 3, 3, 3, 0, 4, 2, 0, 0, 3, 2, 1, 1, 4, 4, 0, 4, 1, 1, 0, 4, 0, 3, 0, 2, 4, 0, 4, 4, 3, 2, 0, 3, 4, 3, 2, 2, 0, 1, 1, 3, 0, 0, 1, 0, 1, 3, 4, 3, 2, 1, 3, 2, 1, 4, 2, 1, 3, 0, 2, 1, 1, 1, 0, 1, 4, 2, 1, 4, 3, 3, 2, 3, 0, 0, 0, 0, 0, 4, 0, 1, 1, 0, 4, 3, 1, 1, 4, 2, 2, 3, 0, 3, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 4, 1, 2, 1, 2, 3, 1, 1, 3, 1, 4, 4, 0, 0, 2, 4, 2, 1, 1, 4, 1, 1, 3, 2, 1, 0, 2, 1, 2, 0, 2, 1, 4, 0, 4, 3, 1, 1, 1, 3, 1, 4, 4, 2, 3, 0, 0, 0, 3, 2, 3, 0, 3, 1, 0, 3, 3, 3, 4, 3, 0, 2, 2, 2, 0, 3, 1, 2, 1, 3, 1, 4, 3, 2, 2, 3, 4, 3, 1, 2, 3, 4, 0, 0, 0, 3, 1, 3, 1, 1, 1, 1, 0, 4, 4, 4, 2, 0, 0, 1, 2, 3, 0, 0, 4, 1, 2, 0, 3, 0, 2, 2, 3, 2, 2, 2, 4, 0, 3, 0, 0, 2, 2, 4, 1, 2, 2, 0, 2, 4, 1, 1, 3, 2, 2, 3, 3, 1, 3, 2, 4, 1, 3, 1, 2, 4, 4, 3, 0, 0, 3, 0, 3, 4, 4, 1, 0, 4, 2, 3, 1, 3, 0, 2, 1, 1, 3, 1, 2, 4, 4, 2, 1, 3, 4, 4, 0, 1, 4, 1, 0, 2, 3, 2, 1, 2, 3, 0, 0, 2, 2]
pubkeycol1213 = [2, 1, 0, 2, 0, 4, 3, 4, 3, 1, 4, 1, 1, 1, 2, 3, 2, 4, 3, 3, 1, 4, 3, 1, 3, 2, 2, 2, 2, 2, 4, 2, 2, 3, 3, 0, 3, 3, 0, 0, 1, 2, 0, 4, 0, 1, 0, 0, 2, 3, 2, 2, 1, 3, 1, 3, 2, 3, 3, 4, 4, 4, 3, 3, 2, 0, 3, 0, 2, 4, 4, 2, 2, 2, 2, 0, 1, 2, 2, 4, 4, 4, 4, 3, 2, 1, 3, 1, 3, 0, 4, 1, 3, 1, 1, 2, 3, 3, 3, 4, 2, 0, 4, 0, 2, 3, 3, 4, 0, 3, 0, 2, 4, 0, 2, 3, 4, 2, 3, 1, 3, 3, 2, 2, 4, 2, 3, 2, 4, 0, 2, 2, 4, 2, 2, 3, 3, 3, 3, 4, 2, 1, 2, 3, 2, 4, 1, 0, 2, 1, 0, 2, 3, 0, 2, 1, 3, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, 4, 1, 3, 2, 4, 0, 2, 3, 1, 3, 1, 3, 2, 2, 4, 2, 1, 1, 2, 4, 2, 4, 2, 2, 2, 0, 0, 2, 4, 3, 0, 0, 4, 0, 4, 3, 3, 1, 0, 0, 4, 2, 0, 4, 0, 2, 3, 0, 0, 3, 4, 2, 2, 2, 0, 1, 0, 3, 3, 4, 3, 0, 0, 3, 1, 1, 3, 0, 2, 1, 1, 0, 3, 1, 0, 3, 0, 4, 3, 3, 4, 3, 2, 3, 4, 2, 4, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 0, 4, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 4, 3, 2, 4, 2, 2, 1, 1, 4, 0, 1, 3, 2, 2, 0, 4, 1, 3, 4, 2, 0, 3, 2, 2, 3, 0, 2, 2, 3, 4, 4, 4, 1, 3, 1, 1, 0, 0, 4, 3, 4, 3, 2, 0, 0, 0, 4, 2, 1, 0, 4, 3, 4, 2, 1, 4, 3, 3, 1, 1, 0, 4, 3, 0, 4, 4, 2, 1, 0, 0, 0, 2, 3, 0, 1, 4, 4, 0, 2, 1, 4, 0, 1, 4, 0, 0, 4, 2, 2, 4, 4, 3, 3, 3, 0, 0, 2, 0, 1, 1, 4, 4, 3, 3, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 2, 3, 4, 0, 1, 0, 1, 4, 2, 3]
pubkeycol1214 = [2, 4, 2, 2, 3, 3, 3, 4, 0, 1, 1, 4, 4, 0, 3, 3, 1, 3, 0, 3, 0, 0, 2, 0, 3, 3, 3, 1, 0, 3, 0, 2, 0, 3, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 3, 3, 2, 3, 2, 1, 1, 2, 0, 2, 4, 0, 2, 2, 2, 2, 0, 3, 0, 3, 0, 2, 4, 0, 4, 2, 1, 2, 0, 2, 4, 1, 2, 2, 2, 0, 0, 4, 3, 0, 0, 3, 1, 2, 1, 3, 3, 3, 2, 3, 4, 4, 1, 4, 1, 2, 4, 2, 1, 3, 3, 1, 1, 3, 0, 4, 3, 2, 2, 4, 0, 2, 2, 3, 2, 2, 4, 2, 2, 1, 1, 3, 2, 3, 3, 1, 2, 0, 2, 3, 0, 4, 4, 0, 0, 3, 3, 1, 4, 4, 0, 4, 0, 2, 4, 0, 4, 0, 2, 0, 1, 0, 3, 2, 3, 0, 2, 4, 4, 2, 3, 2, 2, 1, 0, 4, 0, 4, 0, 0, 3, 4, 1, 4, 0, 2, 0, 2, 0, 0, 0, 4, 1, 4, 3, 1, 2, 2, 4, 0, 0, 0, 4, 0, 0, 1, 1, 0, 4, 3, 3, 0, 3, 2, 4, 2, 1, 3, 2, 0, 0, 1, 2, 0, 4, 4, 4, 2, 3, 3, 3, 2, 3, 1, 0, 4, 4, 1, 4, 4, 4, 4, 1, 0, 2, 4, 2, 3, 4, 3, 3, 2, 0, 0, 4, 3, 3, 4, 4, 0, 3, 3, 0, 1, 4, 2, 2, 3, 2, 3, 0, 3, 4, 4, 1, 4, 1, 3, 1, 0, 0, 1, 1, 1, 0, 3, 0, 0, 0, 4, 2, 4, 4, 4, 3, 3, 2, 3, 1, 4, 0, 1, 1, 0, 0, 2, 4, 1, 0, 4, 4, 0, 0, 4, 3, 3, 3, 4, 0, 4, 3, 1, 4, 2, 2, 3, 0, 4, 2, 2, 3, 4, 2, 4, 3, 2, 3, 1, 0, 1, 1, 0, 3, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 3, 1, 3, 0, 4, 2, 3, 3, 3, 3, 1, 1, 2, 2, 3, 4, 4, 1, 1, 4, 0, 3, 1, 1, 3, 1, 0, 3, 4, 3, 1, 4, 0, 0, 2, 2, 0, 1, 1, 4, 0, 1, 3, 2, 4, 0, 3, 2, 0, 3]
pubkeycol1215 = [3, 0, 0, 0, 0, 4, 1, 4, 2, 1, 3, 3, 3, 4, 1, 1, 2, 0, 0, 2, 4, 0, 3, 4, 4, 1, 1, 3, 0, 2, 0, 0, 0, 1, 2, 4, 4, 4, 2, 4, 4, 3, 2, 3, 3, 0, 1, 0, 1, 0, 3, 1, 1, 3, 3, 4, 0, 3, 0, 0, 2, 0, 3, 4, 1, 1, 2, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 4, 3, 2, 0, 4, 1, 2, 3, 0, 1, 2, 1, 2, 0, 4, 0, 3, 4, 0, 4, 3, 1, 3, 4, 2, 2, 4, 2, 3, 2, 2, 4, 1, 1, 4, 1, 2, 1, 4, 4, 4, 0, 1, 4, 0, 3, 0, 1, 2, 0, 2, 4, 4, 1, 1, 2, 4, 4, 4, 0, 1, 3, 0, 3, 2, 2, 1, 1, 1, 3, 4, 4, 2, 0, 4, 3, 2, 4, 2, 4, 3, 2, 3, 3, 4, 1, 1, 3, 4, 1, 3, 0, 4, 2, 4, 3, 2, 1, 3, 3, 2, 2, 1, 0, 4, 1, 1, 0, 3, 3, 3, 3, 1, 1, 0, 2, 0, 2, 0, 4, 2, 4, 1, 0, 2, 0, 0, 0, 4, 2, 3, 2, 1, 3, 4, 2, 0, 4, 2, 4, 0, 4, 1, 3, 1, 3, 1, 2, 0, 2, 0, 3, 0, 3, 4, 2, 2, 3, 0, 2, 3, 4, 4, 3, 0, 3, 1, 4, 2, 0, 0, 0, 3, 2, 2, 0, 3, 2, 3, 2, 4, 1, 1, 0, 1, 4, 2, 2, 3, 0, 0, 1, 4, 4, 3, 1, 4, 0, 2, 0, 0, 2, 3, 3, 4, 2, 4, 3, 3, 1, 3, 3, 0, 3, 1, 4, 2, 2, 2, 3, 1, 3, 0, 3, 1, 2, 2, 1, 4, 1, 3, 4, 2, 0, 3, 1, 0, 2, 1, 1, 1, 4, 2, 3, 2, 2, 3, 0, 3, 4, 4, 1, 2, 1, 3, 2, 4, 0, 4, 0, 4, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 3, 1, 2, 4, 2, 4, 1, 3, 0, 4, 0, 0, 2, 4, 0, 0, 1, 4, 2, 3, 0, 1, 4, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 4, 0, 2, 3, 4, 1, 4, 0, 3, 3, 3, 2]
pubkeycol1216 = [3, 3, 2, 1, 1, 1, 0, 0, 1, 4, 4, 2, 1, 0, 1, 0, 3, 2, 4, 2, 3, 1, 1, 3, 3, 0, 2, 1, 4, 3, 3, 1, 4, 2, 2, 3, 2, 2, 0, 2, 2, 4, 3, 3, 2, 4, 2, 2, 0, 0, 0, 2, 1, 0, 4, 3, 3, 1, 0, 2, 2, 3, 4, 0, 1, 3, 1, 4, 4, 2, 2, 1, 2, 4, 3, 0, 4, 4, 1, 3, 4, 4, 1, 4, 4, 3, 0, 2, 1, 2, 1, 1, 4, 2, 0, 2, 0, 4, 2, 1, 0, 4, 1, 4, 4, 3, 4, 4, 2, 4, 1, 4, 4, 0, 2, 1, 2, 2, 1, 2, 2, 0, 3, 2, 3, 1, 1, 0, 0, 4, 3, 3, 0, 1, 3, 0, 0, 1, 0, 3, 0, 2, 4, 2, 2, 4, 2, 0, 1, 1, 3, 0, 1, 3, 0, 3, 2, 4, 2, 1, 2, 4, 4, 4, 4, 3, 3, 2, 3, 2, 2, 4, 3, 3, 4, 4, 4, 2, 4, 4, 3, 4, 3, 1, 2, 1, 1, 4, 1, 1, 1, 2, 0, 0, 3, 2, 3, 3, 3, 1, 1, 1, 0, 2, 3, 0, 4, 4, 3, 2, 0, 0, 1, 4, 1, 1, 3, 4, 4, 1, 1, 2, 0, 4, 0, 4, 0, 1, 4, 1, 1, 2, 1, 3, 4, 2, 0, 0, 3, 3, 0, 4, 1, 3, 2, 4, 2, 3, 1, 1, 3, 2, 2, 0, 0, 2, 1, 4, 3, 3, 4, 1, 2, 2, 1, 2, 2, 4, 3, 2, 2, 3, 2, 0, 0, 1, 1, 4, 4, 2, 4, 2, 1, 4, 2, 3, 2, 4, 1, 4, 2, 4, 1, 1, 2, 3, 4, 4, 4, 0, 2, 0, 2, 0, 0, 3, 0, 1, 4, 0, 2, 1, 1, 3, 0, 2, 1, 2, 3, 1, 4, 4, 4, 3, 3, 4, 3, 3, 3, 3, 3, 2, 1, 1, 3, 1, 2, 0, 4, 4, 4, 2, 1, 1, 4, 0, 3, 2, 0, 3, 4, 0, 3, 2, 0, 4, 1, 1, 1, 0, 4, 3, 1, 0, 0, 2, 4, 4, 3, 1, 2, 2, 0, 0, 1, 2, 2, 3, 3, 0, 3, 0, 4, 1, 0, 1, 1, 4, 2, 4, 3, 0, 1, 4, 0, 2, 1, 3, 1, 3]
pubkeycol1217 = [2, 2, 3, 4, 4, 4, 3, 4, 4, 3, 1, 4, 1, 3, 4, 4, 0, 0, 1, 2, 2, 1, 3, 2, 2, 2, 3, 3, 1, 3, 2, 1, 4, 4, 4, 0, 3, 2, 0, 3, 4, 1, 3, 1, 0, 3, 0, 1, 3, 0, 0, 1, 0, 3, 1, 3, 3, 1, 0, 4, 3, 4, 1, 1, 0, 4, 1, 0, 0, 0, 0, 1, 2, 1, 2, 3, 2, 0, 2, 3, 2, 2, 2, 1, 1, 2, 3, 4, 2, 0, 2, 1, 2, 2, 4, 4, 2, 0, 4, 1, 1, 1, 0, 1, 1, 0, 4, 0, 1, 4, 4, 3, 0, 2, 2, 3, 1, 0, 4, 0, 3, 4, 4, 1, 1, 0, 4, 0, 1, 0, 4, 3, 0, 1, 4, 1, 4, 1, 3, 1, 1, 3, 1, 2, 1, 2, 2, 4, 4, 0, 0, 4, 4, 1, 3, 4, 0, 1, 3, 0, 1, 4, 1, 1, 2, 1, 1, 4, 0, 3, 3, 3, 4, 3, 2, 2, 0, 0, 0, 3, 1, 4, 0, 0, 1, 1, 4, 1, 0, 2, 1, 4, 0, 0, 4, 4, 3, 3, 2, 2, 2, 1, 2, 4, 3, 4, 1, 4, 2, 2, 2, 1, 4, 4, 4, 1, 4, 4, 1, 3, 0, 0, 2, 0, 4, 4, 1, 3, 3, 2, 1, 2, 0, 1, 2, 3, 4, 3, 3, 0, 4, 4, 1, 3, 2, 0, 1, 3, 2, 1, 1, 3, 2, 1, 3, 4, 1, 4, 3, 1, 2, 4, 3, 2, 2, 1, 3, 4, 0, 2, 1, 2, 3, 3, 4, 1, 3, 3, 4, 2, 4, 4, 4, 3, 3, 1, 3, 1, 2, 0, 3, 2, 0, 1, 3, 3, 1, 3, 1, 4, 2, 3, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 2, 4, 3, 0, 2, 0, 0, 3, 3, 1, 4, 3, 1, 1, 3, 0, 3, 4, 1, 0, 0, 4, 0, 4, 3, 2, 0, 3, 0, 1, 3, 2, 2, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 3, 1, 1, 3, 3, 4, 0, 1, 0, 3, 3, 0, 2, 0, 4, 1, 0, 0, 3, 3, 3, 2, 2, 4, 3, 3, 3, 1, 0, 1, 3, 2, 0, 0, 3, 4, 2, 3, 1, 0, 1, 2]
pubkeycol1218 = [1, 3, 4, 3, 4, 4, 3, 3, 3, 3, 1, 3, 2, 0, 4, 4, 3, 2, 4, 2, 4, 1, 4, 0, 3, 3, 4, 0, 1, 3, 3, 0, 4, 0, 4, 3, 0, 1, 3, 2, 1, 0, 0, 4, 3, 0, 0, 4, 0, 3, 0, 3, 2, 2, 3, 3, 2, 1, 0, 0, 3, 3, 1, 2, 2, 1, 0, 2, 0, 3, 1, 3, 0, 2, 4, 2, 4, 3, 2, 1, 3, 4, 2, 2, 3, 3, 2, 2, 0, 2, 4, 4, 2, 0, 1, 4, 0, 1, 4, 0, 0, 3, 3, 0, 1, 1, 3, 4, 4, 3, 0, 1, 2, 2, 1, 3, 3, 3, 3, 3, 0, 2, 0, 1, 3, 1, 0, 0, 3, 4, 2, 4, 2, 1, 0, 1, 2, 0, 4, 4, 1, 3, 3, 3, 1, 3, 4, 0, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 0, 2, 4, 3, 1, 1, 1, 2, 3, 4, 2, 3, 0, 2, 0, 4, 1, 3, 3, 4, 3, 0, 0, 4, 2, 3, 3, 2, 3, 3, 4, 0, 3, 1, 0, 1, 2, 4, 4, 0, 0, 2, 4, 1, 4, 4, 3, 3, 4, 4, 4, 2, 0, 0, 0, 0, 3, 2, 2, 4, 2, 2, 0, 2, 0, 1, 1, 3, 2, 2, 4, 0, 4, 4, 1, 0, 3, 0, 2, 0, 1, 2, 0, 1, 1, 3, 3, 1, 0, 4, 1, 2, 4, 2, 4, 3, 0, 3, 0, 3, 0, 2, 3, 4, 0, 0, 2, 1, 3, 0, 4, 2, 4, 3, 3, 1, 3, 3, 2, 3, 4, 3, 1, 1, 4, 4, 2, 1, 0, 2, 0, 4, 2, 0, 0, 4, 3, 4, 0, 2, 2, 3, 3, 4, 2, 3, 1, 0, 4, 3, 3, 2, 4, 0, 0, 1, 0, 4, 2, 1, 3, 2, 4, 4, 3, 2, 1, 0, 4, 0, 1, 1, 1, 1, 1, 0, 0, 3, 4, 2, 1, 1, 1, 3, 3, 0, 4, 2, 1, 1, 0, 4, 1, 3, 3, 3, 3, 2, 2, 4, 4, 3, 2, 0, 2, 3, 3, 3, 2, 2, 0, 4, 1, 2, 4, 3, 3, 2, 2, 3, 4, 2, 4, 0, 0, 3, 0, 1, 2, 1, 3, 0, 0, 0, 0, 2, 4, 3, 1, 1]
pubkeycol1219 = [0, 0, 1, 4, 3, 0, 4, 1, 1, 0, 4, 2, 1, 4, 2, 0, 3, 0, 4, 1, 1, 3, 2, 1, 4, 3, 2, 4, 4, 3, 0, 3, 4, 1, 4, 0, 4, 3, 0, 4, 4, 1, 1, 1, 2, 0, 1, 3, 2, 0, 1, 3, 0, 3, 1, 4, 2, 4, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 4, 0, 1, 1, 4, 4, 2, 3, 4, 2, 0, 3, 3, 0, 2, 4, 4, 2, 0, 4, 1, 4, 3, 2, 0, 3, 1, 2, 2, 3, 0, 1, 4, 0, 0, 4, 4, 0, 3, 2, 3, 3, 3, 2, 0, 3, 4, 4, 1, 3, 2, 4, 3, 2, 4, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 1, 1, 4, 1, 1, 2, 4, 3, 0, 0, 2, 0, 1, 2, 4, 4, 2, 1, 4, 2, 0, 2, 0, 4, 0, 1, 2, 4, 3, 3, 3, 1, 1, 3, 2, 3, 3, 2, 0, 0, 3, 0, 3, 3, 4, 0, 1, 3, 4, 0, 2, 2, 4, 4, 1, 1, 4, 4, 1, 1, 0, 2, 3, 0, 3, 3, 1, 4, 4, 0, 0, 0, 0, 3, 0, 4, 3, 2, 1, 2, 0, 0, 4, 2, 2, 3, 1, 4, 3, 0, 2, 1, 0, 3, 2, 2, 2, 2, 1, 0, 1, 0, 3, 1, 0, 4, 4, 2, 0, 2, 1, 3, 1, 1, 1, 3, 4, 1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 3, 0, 2, 2, 4, 3, 0, 2, 0, 0, 3, 1, 3, 4, 2, 2, 3, 3, 0, 0, 1, 0, 0, 1, 4, 0, 4, 0, 2, 1, 3, 2, 0, 0, 4, 2, 0, 3, 4, 0, 3, 3, 2, 0, 2, 4, 2, 2, 1, 2, 2, 4, 2, 4, 3, 1, 3, 4, 3, 2, 0, 3, 3, 1, 1, 3, 0, 2, 3, 4, 4, 1, 3, 0, 4, 4, 0, 4, 1, 3, 3, 1, 2, 4, 3, 2, 1, 0, 3, 0, 0, 2, 1, 1, 0, 4, 2, 0, 0, 0, 4, 1, 3, 1, 3, 1, 2, 2, 2, 3, 2, 4, 3, 4, 3, 3, 0, 3, 0, 3, 1, 2, 0, 2, 1, 3, 2, 0, 1, 2, 0, 4, 4, 3, 3, 0, 4, 4, 2]
pubkeycol1220 = [4, 1, 0, 4, 4, 3, 2, 4, 1, 0, 2, 0, 2, 1, 2, 1, 4, 3, 2, 3, 1, 4, 4, 0, 4, 1, 0, 3, 0, 2, 4, 4, 3, 0, 2, 1, 4, 1, 0, 1, 0, 0, 3, 4, 3, 4, 1, 0, 3, 2, 2, 2, 0, 3, 1, 3, 3, 4, 0, 1, 3, 3, 1, 4, 4, 3, 1, 1, 1, 3, 3, 1, 3, 3, 4, 0, 4, 0, 4, 2, 1, 2, 4, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 3, 4, 4, 1, 4, 3, 1, 2, 0, 1, 1, 3, 2, 4, 2, 3, 0, 4, 3, 4, 3, 0, 3, 2, 2, 1, 0, 3, 0, 2, 3, 3, 1, 0, 0, 3, 4, 4, 3, 1, 2, 2, 4, 0, 1, 1, 0, 3, 1, 3, 1, 2, 4, 3, 3, 3, 3, 3, 2, 0, 1, 1, 0, 3, 1, 0, 2, 0, 2, 4, 4, 1, 4, 4, 1, 0, 1, 0, 0, 0, 0, 2, 1, 3, 4, 2, 1, 0, 0, 3, 2, 2, 0, 1, 0, 0, 2, 4, 0, 1, 1, 0, 2, 4, 2, 3, 2, 0, 3, 2, 4, 3, 4, 3, 3, 3, 2, 0, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 2, 0, 2, 3, 0, 3, 3, 4, 1, 1, 1, 0, 1, 2, 3, 2, 1, 4, 3, 3, 0, 3, 1, 4, 4, 3, 0, 3, 4, 3, 4, 4, 3, 4, 0, 1, 0, 2, 4, 4, 2, 4, 1, 3, 3, 0, 3, 3, 3, 2, 2, 3, 2, 1, 1, 3, 0, 2, 0, 4, 1, 1, 0, 0, 3, 2, 2, 4, 1, 1, 0, 0, 0, 2, 3, 3, 1, 4, 3, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 4, 4, 0, 3, 4, 4, 4, 4, 1, 1, 3, 0, 0, 2, 0, 0, 0, 3, 0, 0, 1, 2, 3, 1, 3, 1, 3, 2, 2, 0, 4, 4, 3, 4, 3, 2, 3, 2, 2, 3, 4, 0, 3, 4, 3, 1, 3, 3, 1, 4, 0, 4, 1, 3, 4, 0, 3, 1, 0, 3, 4, 2, 4, 4, 0, 0, 2, 0, 1, 4, 3, 0, 4, 4, 1, 4, 3, 3, 0, 2, 2, 4, 0, 3, 3, 4]
pubkeycol1221 = [4, 2, 0, 2, 0, 1, 4, 1, 4, 1, 0, 0, 2, 2, 3, 2, 1, 0, 3, 0, 0, 4, 3, 0, 1, 3, 4, 4, 3, 4, 4, 2, 3, 1, 2, 0, 3, 4, 3, 0, 4, 1, 1, 3, 1, 0, 0, 4, 4, 4, 1, 2, 2, 0, 2, 1, 1, 3, 4, 4, 1, 3, 4, 3, 3, 2, 1, 4, 2, 2, 3, 0, 3, 0, 1, 3, 4, 2, 3, 4, 3, 1, 4, 4, 3, 3, 4, 3, 1, 1, 2, 3, 4, 0, 1, 2, 3, 2, 3, 4, 4, 4, 1, 3, 2, 4, 4, 4, 1, 0, 1, 2, 2, 2, 3, 0, 1, 2, 0, 4, 0, 3, 3, 1, 0, 1, 1, 2, 1, 2, 4, 0, 1, 1, 1, 4, 2, 4, 4, 0, 3, 3, 2, 1, 3, 0, 0, 3, 1, 1, 3, 4, 1, 3, 0, 3, 0, 3, 3, 0, 3, 1, 2, 3, 4, 1, 1, 3, 3, 1, 3, 2, 0, 3, 1, 2, 4, 1, 1, 1, 0, 2, 2, 4, 3, 4, 3, 4, 1, 0, 4, 4, 1, 0, 0, 3, 0, 0, 2, 2, 4, 4, 4, 4, 4, 4, 1, 2, 3, 1, 4, 1, 1, 4, 0, 1, 4, 0, 1, 1, 1, 1, 3, 0, 1, 4, 0, 2, 1, 0, 0, 4, 1, 0, 1, 4, 1, 0, 4, 0, 3, 4, 0, 4, 0, 3, 4, 0, 2, 4, 2, 2, 4, 0, 1, 4, 3, 4, 3, 1, 2, 0, 0, 4, 2, 4, 4, 4, 3, 4, 3, 0, 0, 0, 1, 3, 0, 2, 0, 1, 0, 4, 2, 2, 4, 3, 0, 1, 0, 1, 1, 0, 4, 2, 2, 0, 4, 2, 3, 3, 0, 3, 0, 4, 4, 2, 0, 4, 2, 3, 4, 1, 4, 3, 3, 2, 1, 4, 4, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 3, 0, 4, 1, 0, 4, 1, 1, 2, 0, 4, 3, 4, 0, 4, 0, 3, 1, 0, 2, 3, 1, 0, 4, 0, 3, 3, 1, 4, 1, 0, 1, 1, 0, 0, 4, 0, 1, 4, 0, 1, 3, 1, 3, 4, 2, 1, 0, 3, 3, 2, 1, 2, 0, 0, 1, 4, 4, 3, 4, 1, 3, 2, 0, 2, 3, 2, 3, 4, 2, 3]
pubkeycol1222 = [1, 4, 2, 0, 1, 0, 4, 1, 2, 2, 1, 4, 2, 0, 3, 2, 2, 0, 4, 2, 1, 4, 3, 4, 1, 0, 3, 4, 3, 2, 0, 3, 1, 3, 3, 4, 1, 4, 3, 0, 4, 0, 3, 1, 3, 3, 1, 0, 2, 4, 0, 3, 1, 4, 2, 4, 3, 0, 3, 3, 4, 0, 2, 3, 2, 2, 0, 3, 0, 3, 3, 0, 3, 1, 0, 2, 4, 2, 0, 3, 0, 2, 2, 0, 3, 0, 1, 0, 3, 2, 2, 3, 3, 0, 0, 0, 2, 0, 4, 4, 4, 4, 1, 4, 1, 3, 0, 1, 4, 2, 3, 4, 4, 4, 4, 3, 2, 3, 1, 2, 1, 0, 1, 3, 0, 2, 0, 0, 0, 0, 4, 4, 0, 2, 4, 2, 4, 3, 2, 3, 2, 0, 2, 0, 4, 2, 2, 0, 3, 2, 2, 2, 0, 1, 2, 4, 4, 2, 3, 1, 0, 3, 2, 3, 1, 3, 1, 4, 2, 2, 2, 3, 3, 2, 4, 0, 0, 2, 0, 4, 3, 1, 2, 2, 3, 4, 4, 3, 4, 3, 4, 3, 3, 0, 1, 4, 4, 0, 1, 4, 1, 0, 4, 1, 4, 0, 2, 0, 4, 3, 0, 2, 4, 4, 2, 2, 3, 1, 1, 4, 0, 3, 4, 0, 0, 3, 0, 1, 4, 0, 4, 2, 3, 0, 4, 4, 1, 1, 3, 0, 2, 3, 4, 0, 2, 1, 0, 1, 0, 1, 3, 3, 4, 4, 1, 0, 1, 4, 4, 0, 0, 4, 4, 4, 0, 1, 0, 1, 0, 1, 2, 1, 1, 4, 1, 1, 2, 3, 1, 0, 0, 3, 3, 3, 4, 1, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 4, 1, 1, 1, 3, 2, 1, 2, 1, 3, 4, 0, 2, 2, 3, 1, 0, 2, 1, 0, 3, 3, 1, 2, 3, 0, 3, 4, 4, 0, 0, 4, 0, 2, 3, 3, 4, 2, 4, 0, 3, 4, 1, 1, 0, 4, 4, 1, 0, 2, 4, 3, 1, 4, 4, 1, 4, 0, 1, 4, 0, 4, 4, 0, 1, 4, 2, 2, 2, 4, 4, 3, 4, 1, 2, 3, 4, 0, 2, 2, 4, 4, 2, 3, 1, 0, 3, 2, 3, 3, 3, 3, 1, 3, 4, 3, 1, 4, 3, 4, 4, 1, 3, 0]
pubkeycol1223 = [0, 3, 2, 2, 1, 3, 0, 3, 2, 4, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 3, 2, 0, 4, 2, 2, 4, 2, 4, 2, 4, 4, 1, 0, 0, 3, 2, 1, 0, 4, 4, 1, 0, 0, 1, 3, 0, 2, 4, 0, 4, 4, 3, 0, 2, 4, 3, 0, 1, 3, 3, 0, 3, 2, 2, 4, 4, 2, 2, 2, 4, 1, 3, 2, 4, 2, 0, 1, 3, 3, 4, 0, 2, 0, 1, 0, 3, 4, 2, 3, 1, 3, 1, 4, 1, 0, 2, 1, 4, 0, 3, 4, 4, 4, 4, 1, 1, 3, 3, 2, 1, 2, 1, 3, 4, 2, 1, 1, 3, 1, 2, 1, 1, 1, 3, 2, 3, 1, 1, 4, 4, 0, 3, 2, 4, 0, 0, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 2, 1, 4, 4, 4, 3, 3, 3, 3, 0, 2, 4, 2, 3, 3, 2, 3, 3, 1, 1, 1, 1, 4, 4, 2, 2, 3, 3, 3, 1, 4, 4, 1, 4, 0, 4, 3, 3, 0, 1, 1, 2, 1, 1, 2, 3, 2, 4, 3, 0, 3, 0, 4, 1, 2, 4, 1, 1, 2, 2, 3, 2, 1, 4, 1, 1, 2, 0, 4, 0, 1, 4, 3, 4, 2, 0, 3, 3, 4, 3, 4, 4, 1, 1, 0, 2, 3, 1, 3, 1, 3, 2, 2, 4, 1, 0, 4, 1, 2, 4, 3, 0, 4, 3, 3, 1, 4, 0, 2, 3, 0, 2, 3, 4, 0, 0, 1, 1, 0, 0, 2, 2, 4, 4, 2, 1, 0, 2, 0, 4, 1, 3, 3, 1, 2, 3, 2, 2, 3, 1, 0, 3, 2, 4, 4, 0, 4, 3, 1, 1, 1, 1, 2, 3, 0, 1, 3, 0, 2, 1, 1, 4, 4, 2, 3, 0, 3, 3, 3, 2, 1, 2, 1, 3, 2, 4, 0, 0, 3, 1, 4, 2, 3, 0, 3, 3, 1, 1, 2, 3, 3, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 0, 2, 2, 3, 3, 1, 4, 0, 3, 4, 4, 0, 3, 0, 1, 2, 1, 4, 1, 0, 4, 0, 1, 2, 4, 0, 4, 3, 2, 2, 1, 0, 0, 0, 3, 1, 4, 1, 4, 0, 4, 1, 4, 4, 3, 1, 1, 3, 2]
pubkeycol1224 = [4, 2, 3, 1, 3, 3, 3, 4, 2, 2, 4, 3, 4, 3, 2, 4, 3, 3, 0, 4, 2, 1, 0, 0, 0, 1, 4, 4, 2, 4, 4, 3, 4, 2, 1, 2, 4, 3, 4, 0, 1, 3, 3, 1, 0, 1, 2, 2, 3, 3, 3, 2, 2, 3, 4, 3, 3, 0, 2, 0, 0, 4, 3, 1, 0, 2, 3, 4, 4, 1, 2, 1, 0, 0, 4, 3, 2, 0, 4, 2, 1, 3, 1, 0, 4, 3, 0, 2, 4, 3, 4, 2, 3, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 4, 3, 0, 1, 3, 3, 4, 2, 0, 2, 4, 0, 4, 4, 3, 3, 4, 2, 1, 3, 2, 0, 4, 0, 4, 1, 0, 4, 3, 1, 0, 1, 0, 3, 3, 0, 4, 0, 0, 0, 4, 0, 1, 2, 2, 1, 3, 4, 2, 3, 3, 1, 2, 3, 1, 1, 3, 2, 1, 1, 1, 1, 4, 1, 4, 2, 1, 3, 2, 4, 4, 3, 4, 0, 3, 1, 2, 4, 3, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 4, 0, 2, 1, 2, 4, 0, 1, 3, 0, 3, 3, 1, 1, 3, 4, 3, 1, 4, 1, 0, 2, 2, 0, 4, 1, 3, 2, 4, 1, 3, 1, 2, 0, 3, 4, 4, 3, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 4, 3, 1, 0, 4, 3, 3, 0, 4, 0, 4, 1, 4, 1, 3, 3, 3, 3, 4, 1, 2, 3, 4, 1, 3, 3, 2, 2, 4, 2, 1, 4, 0, 1, 1, 3, 4, 2, 0, 1, 2, 4, 1, 2, 3, 0, 0, 4, 4, 4, 1, 3, 2, 4, 3, 1, 2, 2, 0, 2, 0, 3, 0, 2, 3, 1, 1, 0, 0, 4, 0, 4, 4, 0, 0, 0, 3, 3, 1, 1, 0, 1, 0, 4, 3, 0, 3, 0, 0, 3, 4, 2, 3, 1, 1, 0, 0, 1, 4, 1, 3, 1, 0, 0, 3, 1, 4, 3, 2, 2, 0, 2, 4, 2, 3, 0, 0, 4, 4, 3, 2, 0, 2, 0, 1, 3, 3, 4, 1, 4, 4, 3, 2, 1, 0, 1, 2, 2, 3, 1, 3, 2, 2, 4, 2, 0, 1, 1, 2, 3, 1, 4, 1, 4, 0, 2, 3]
pubkeycol1225 = [2, 2, 2, 2, 1, 1, 2, 4, 3, 4, 3, 4, 4, 2, 1, 4, 3, 0, 1, 4, 1, 1, 1, 3, 3, 4, 1, 0, 2, 3, 4, 0, 2, 2, 2, 4, 1, 2, 4, 4, 3, 1, 4, 0, 1, 2, 1, 2, 1, 1, 3, 4, 2, 1, 4, 1, 2, 3, 4, 2, 4, 4, 1, 4, 0, 1, 1, 0, 2, 3, 1, 2, 0, 1, 3, 0, 1, 2, 0, 1, 3, 4, 1, 2, 1, 3, 1, 0, 0, 3, 2, 1, 3, 2, 3, 3, 0, 2, 0, 3, 0, 4, 1, 4, 2, 1, 3, 0, 2, 0, 0, 3, 0, 3, 4, 2, 4, 0, 1, 0, 2, 3, 3, 2, 2, 3, 4, 3, 1, 1, 2, 0, 2, 2, 4, 0, 1, 1, 0, 4, 0, 4, 2, 2, 0, 1, 0, 4, 4, 4, 1, 4, 2, 0, 2, 1, 1, 4, 3, 4, 3, 0, 1, 1, 4, 0, 4, 0, 1, 2, 0, 3, 3, 1, 0, 1, 1, 1, 1, 2, 0, 4, 2, 4, 1, 3, 1, 0, 1, 1, 3, 1, 3, 3, 1, 4, 1, 4, 4, 3, 0, 4, 3, 3, 2, 0, 1, 1, 4, 2, 0, 4, 3, 1, 3, 3, 0, 4, 0, 4, 0, 1, 2, 3, 2, 3, 3, 3, 3, 1, 4, 2, 4, 0, 3, 4, 4, 2, 1, 2, 0, 2, 3, 2, 4, 4, 4, 4, 4, 1, 0, 4, 0, 4, 0, 4, 3, 1, 4, 0, 3, 0, 4, 0, 2, 3, 0, 1, 0, 1, 2, 0, 1, 2, 2, 3, 0, 3, 0, 0, 3, 4, 2, 2, 1, 3, 0, 0, 0, 1, 3, 1, 3, 3, 2, 0, 1, 1, 2, 0, 1, 2, 3, 3, 2, 0, 1, 4, 2, 4, 2, 3, 3, 4, 1, 0, 1, 1, 4, 3, 0, 0, 4, 3, 0, 0, 2, 1, 2, 1, 4, 0, 0, 2, 1, 4, 4, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 3, 4, 3, 4, 3, 2, 3, 2, 2, 0, 0, 4, 1, 4, 4, 3, 3, 4, 0, 2, 1, 3, 3, 2, 2, 2, 1, 4, 3, 3, 1, 3, 3, 0, 1, 1, 2, 3, 0, 4, 3, 4, 0, 3, 2, 4, 1, 0, 2, 0, 0]
pubkeycol1226 = [1, 4, 0, 2, 2, 2, 2, 2, 3, 0, 0, 2, 2, 4, 2, 0, 2, 2, 4, 0, 0, 4, 2, 1, 2, 4, 1, 4, 2, 4, 4, 2, 3, 2, 0, 1, 2, 3, 4, 4, 2, 4, 1, 4, 1, 0, 3, 0, 1, 4, 0, 1, 0, 2, 0, 3, 0, 4, 0, 3, 2, 2, 4, 3, 1, 1, 1, 0, 3, 0, 0, 4, 2, 2, 4, 3, 2, 4, 3, 0, 2, 4, 3, 3, 3, 4, 3, 0, 3, 2, 4, 1, 1, 2, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 0, 4, 3, 3, 1, 0, 4, 0, 1, 4, 2, 3, 4, 1, 3, 3, 0, 1, 2, 1, 1, 3, 3, 4, 1, 0, 0, 3, 4, 2, 4, 0, 3, 0, 0, 4, 4, 3, 2, 1, 2, 4, 2, 3, 0, 1, 3, 1, 2, 2, 0, 0, 1, 4, 0, 4, 3, 3, 4, 2, 0, 1, 2, 3, 0, 4, 0, 3, 4, 1, 2, 0, 3, 1, 1, 3, 3, 1, 0, 1, 2, 4, 1, 4, 0, 0, 1, 0, 4, 1, 2, 0, 3, 3, 0, 2, 2, 0, 1, 3, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 3, 4, 1, 3, 3, 3, 2, 3, 4, 3, 0, 1, 2, 0, 3, 0, 1, 0, 3, 1, 1, 1, 0, 4, 2, 2, 4, 2, 1, 2, 3, 0, 2, 3, 4, 4, 2, 2, 1, 0, 2, 4, 3, 1, 1, 3, 3, 3, 3, 2, 1, 1, 1, 3, 4, 4, 3, 1, 0, 0, 4, 4, 0, 3, 3, 0, 0, 2, 4, 4, 4, 0, 3, 0, 4, 3, 3, 1, 2, 4, 0, 1, 1, 1, 0, 2, 1, 0, 4, 3, 2, 0, 3, 3, 2, 3, 3, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 4, 4, 4, 0, 3, 2, 4, 2, 1, 2, 2, 4, 1, 0, 1, 3, 3, 2, 1, 4, 1, 3, 3, 2, 2, 3, 0, 0, 4, 1, 0, 2, 1, 1, 3, 1, 2, 2, 3, 0, 0, 1, 2, 1, 0, 4, 0, 0, 3, 0, 3, 3, 4, 0, 0, 4, 2, 0, 4, 4, 4, 3, 1, 0, 4, 4, 2, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 1, 0]
pubkeycol1227 = [0, 4, 0, 3, 2, 4, 2, 4, 0, 2, 1, 1, 4, 0, 4, 3, 2, 1, 2, 2, 1, 2, 4, 2, 0, 1, 2, 1, 0, 2, 4, 0, 1, 0, 3, 1, 4, 0, 3, 4, 3, 0, 4, 4, 4, 1, 2, 1, 0, 3, 1, 4, 0, 0, 3, 0, 1, 2, 1, 4, 1, 0, 3, 4, 1, 3, 2, 4, 3, 4, 0, 2, 0, 4, 1, 4, 0, 2, 2, 2, 1, 1, 3, 1, 3, 2, 0, 4, 2, 2, 3, 1, 4, 4, 4, 0, 4, 0, 1, 4, 1, 3, 3, 3, 2, 2, 1, 3, 3, 4, 3, 4, 2, 4, 0, 0, 0, 3, 0, 0, 2, 0, 4, 3, 2, 0, 1, 4, 1, 3, 2, 1, 4, 4, 4, 4, 3, 2, 0, 2, 0, 4, 3, 4, 0, 0, 0, 3, 2, 0, 1, 0, 1, 2, 2, 1, 3, 0, 3, 3, 1, 3, 1, 3, 0, 3, 0, 0, 4, 2, 0, 2, 3, 4, 4, 1, 2, 4, 0, 2, 0, 4, 0, 2, 2, 2, 4, 0, 2, 1, 4, 2, 1, 3, 3, 2, 0, 1, 4, 0, 2, 0, 1, 3, 1, 2, 4, 3, 1, 0, 2, 3, 4, 4, 4, 1, 4, 1, 3, 4, 1, 0, 1, 4, 4, 1, 4, 2, 2, 3, 3, 3, 4, 1, 0, 0, 2, 0, 0, 2, 2, 0, 3, 4, 2, 3, 1, 1, 1, 0, 2, 0, 4, 2, 3, 0, 1, 3, 0, 2, 3, 3, 3, 2, 4, 4, 4, 4, 2, 4, 1, 4, 4, 4, 1, 1, 2, 2, 4, 1, 4, 0, 2, 2, 3, 4, 4, 4, 2, 4, 1, 0, 3, 2, 1, 1, 3, 2, 4, 3, 2, 3, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 4, 2, 0, 3, 1, 0, 3, 0, 1, 4, 0, 2, 0, 2, 1, 2, 2, 3, 2, 3, 0, 1, 0, 3, 1, 3, 4, 2, 3, 4, 0, 2, 4, 3, 4, 3, 1, 3, 2, 3, 1, 3, 2, 2, 1, 3, 3, 4, 2, 1, 0, 1, 2, 4, 2, 0, 0, 4, 3, 4, 3, 0, 4, 0, 3, 4, 0, 3, 3, 3, 1, 1, 0, 2, 2, 0, 2, 4, 1, 3, 4, 4, 4]
pubkeycol1228 = [4, 3, 3, 4, 1, 2, 1, 3, 2, 3, 0, 1, 2, 2, 4, 3, 0, 2, 3, 0, 2, 3, 4, 4, 0, 2, 1, 2, 1, 2, 1, 2, 3, 1, 2, 0, 4, 2, 3, 2, 1, 2, 3, 4, 1, 0, 0, 1, 0, 3, 4, 0, 1, 0, 2, 1, 2, 4, 3, 0, 2, 2, 0, 3, 1, 0, 2, 3, 0, 1, 3, 1, 1, 4, 1, 2, 2, 2, 4, 0, 4, 1, 3, 3, 4, 0, 0, 4, 3, 0, 1, 1, 1, 3, 0, 2, 2, 4, 0, 3, 0, 0, 4, 1, 2, 4, 4, 0, 2, 3, 1, 0, 4, 4, 2, 1, 3, 3, 4, 0, 2, 4, 0, 1, 0, 3, 1, 4, 2, 4, 0, 1, 3, 4, 4, 3, 3, 0, 4, 4, 1, 2, 3, 1, 1, 2, 2, 2, 2, 3, 0, 2, 0, 4, 4, 2, 3, 1, 0, 2, 2, 1, 1, 4, 0, 3, 1, 0, 4, 4, 1, 0, 1, 3, 1, 3, 2, 3, 2, 0, 1, 1, 3, 1, 2, 2, 0, 1, 2, 4, 4, 0, 1, 3, 3, 2, 3, 0, 1, 1, 4, 0, 0, 0, 4, 2, 3, 0, 2, 4, 3, 3, 0, 2, 3, 3, 2, 1, 4, 1, 1, 1, 2, 0, 1, 4, 1, 2, 0, 2, 0, 1, 4, 0, 4, 4, 0, 1, 1, 0, 1, 0, 4, 2, 1, 3, 4, 1, 4, 1, 0, 2, 4, 0, 0, 3, 4, 3, 2, 1, 2, 4, 2, 4, 0, 3, 0, 4, 0, 3, 4, 4, 2, 0, 0, 2, 4, 1, 3, 0, 1, 2, 3, 4, 3, 2, 3, 0, 2, 0, 4, 3, 0, 4, 2, 1, 0, 4, 4, 4, 1, 3, 1, 2, 4, 4, 0, 2, 3, 4, 4, 1, 3, 1, 4, 4, 3, 1, 3, 4, 2, 2, 1, 4, 1, 2, 2, 2, 4, 1, 0, 2, 1, 3, 4, 0, 3, 2, 3, 2, 4, 4, 3, 0, 3, 4, 4, 3, 4, 4, 4, 3, 4, 0, 2, 3, 1, 2, 4, 1, 4, 0, 0, 3, 1, 2, 1, 3, 3, 0, 2, 0, 4, 2, 1, 2, 3, 0, 4, 4, 2, 1, 4, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 4, 0, 3, 0, 1, 3, 3]
pubkeycol1229 = [1, 1, 0, 4, 4, 0, 1, 3, 2, 2, 1, 2, 3, 2, 0, 4, 0, 0, 3, 2, 2, 1, 3, 2, 1, 3, 3, 2, 3, 4, 4, 0, 1, 0, 2, 0, 4, 1, 1, 1, 3, 1, 3, 2, 3, 2, 1, 1, 3, 1, 3, 1, 2, 2, 0, 3, 4, 0, 2, 2, 1, 3, 4, 0, 3, 3, 1, 4, 0, 2, 2, 0, 1, 4, 4, 1, 3, 4, 1, 0, 2, 4, 1, 4, 4, 4, 0, 3, 3, 4, 1, 3, 0, 0, 3, 0, 0, 0, 2, 3, 4, 1, 2, 3, 4, 3, 4, 2, 3, 3, 1, 2, 1, 4, 0, 0, 0, 4, 2, 1, 0, 1, 0, 4, 4, 3, 1, 0, 1, 3, 4, 1, 1, 3, 1, 3, 2, 0, 0, 1, 3, 4, 1, 2, 2, 1, 2, 0, 4, 4, 4, 4, 2, 1, 2, 1, 0, 2, 1, 3, 4, 0, 2, 4, 2, 1, 3, 2, 4, 2, 3, 1, 3, 4, 0, 1, 4, 1, 3, 3, 2, 3, 3, 0, 1, 3, 4, 1, 0, 1, 4, 3, 3, 3, 4, 3, 2, 2, 1, 1, 3, 3, 2, 4, 0, 2, 4, 1, 4, 4, 3, 2, 1, 1, 0, 0, 2, 0, 1, 3, 0, 3, 0, 3, 0, 4, 1, 0, 3, 3, 2, 0, 3, 3, 1, 1, 3, 3, 3, 0, 1, 2, 3, 0, 2, 4, 0, 1, 4, 1, 2, 1, 1, 4, 4, 3, 0, 1, 1, 1, 4, 2, 2, 2, 3, 1, 2, 4, 2, 1, 3, 1, 2, 3, 2, 3, 1, 4, 1, 4, 2, 3, 1, 0, 4, 3, 4, 3, 0, 1, 2, 0, 2, 4, 0, 0, 4, 4, 0, 1, 1, 4, 0, 3, 4, 3, 0, 2, 1, 4, 0, 0, 1, 2, 3, 2, 4, 0, 4, 1, 0, 1, 1, 2, 1, 3, 2, 3, 3, 0, 3, 0, 0, 4, 2, 2, 4, 4, 2, 0, 1, 0, 0, 3, 4, 1, 4, 2, 4, 1, 2, 1, 2, 1, 4, 2, 2, 4, 1, 3, 3, 0, 4, 1, 2, 1, 0, 3, 4, 2, 3, 1, 2, 4, 0, 4, 2, 1, 0, 0, 2, 0, 0, 2, 0, 3, 3, 0, 1, 4, 0, 2, 2, 1, 3, 2, 1, 3, 4, 2]
pubkeycol1230 = [4, 4, 3, 4, 1, 2, 2, 1, 4, 2, 3, 3, 2, 2, 0, 4, 2, 3, 2, 4, 0, 2, 4, 4, 2, 0, 2, 0, 1, 0, 2, 3, 3, 1, 0, 3, 3, 0, 3, 4, 0, 2, 0, 2, 4, 2, 0, 3, 2, 0, 2, 3, 0, 2, 2, 4, 2, 1, 2, 4, 2, 2, 4, 4, 0, 0, 0, 4, 3, 0, 0, 0, 4, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 3, 2, 2, 0, 2, 2, 2, 1, 4, 3, 0, 3, 2, 0, 0, 4, 3, 1, 4, 3, 0, 2, 3, 2, 4, 2, 0, 4, 3, 4, 1, 4, 2, 1, 3, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 3, 0, 4, 0, 2, 3, 3, 4, 4, 1, 2, 4, 3, 1, 2, 1, 2, 2, 1, 3, 2, 4, 1, 3, 2, 0, 0, 1, 1, 4, 2, 1, 2, 3, 1, 1, 3, 2, 4, 3, 3, 3, 1, 3, 4, 2, 1, 4, 3, 0, 2, 1, 0, 4, 4, 1, 2, 1, 2, 0, 4, 0, 1, 4, 1, 4, 4, 3, 1, 1, 0, 3, 3, 2, 0, 4, 3, 2, 2, 0, 2, 4, 2, 2, 3, 1, 4, 1, 0, 4, 2, 3, 4, 1, 3, 1, 0, 1, 1, 4, 0, 1, 4, 4, 1, 1, 4, 1, 2, 3, 2, 3, 4, 3, 3, 4, 3, 1, 4, 3, 1, 2, 0, 0, 2, 4, 2, 3, 1, 3, 1, 0, 2, 0, 0, 3, 0, 4, 2, 2, 4, 1, 4, 4, 4, 0, 1, 3, 2, 2, 1, 4, 1, 1, 2, 3, 1, 0, 4, 2, 3, 0, 3, 4, 4, 0, 4, 3, 1, 1, 1, 1, 3, 0, 4, 2, 0, 3, 1, 4, 2, 4, 0, 2, 4, 4, 2, 3, 4, 4, 1, 1, 2, 3, 1, 2, 3, 1, 0, 0, 2, 0, 3, 2, 3, 0, 1, 4, 0, 0, 3, 4, 2, 2, 4, 1, 1, 1, 4, 3, 1, 4, 1, 0, 0, 0, 3, 3, 2, 2, 0, 2, 0, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 1, 4, 4, 1, 4, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 4, 1, 2, 0, 0, 1, 0, 4]
pubkeycol1231 = [4, 2, 2, 3, 4, 3, 2, 2, 0, 0, 1, 1, 2, 0, 3, 2, 3, 4, 0, 0, 0, 3, 1, 0, 0, 1, 4, 2, 0, 4, 1, 0, 0, 4, 1, 4, 0, 0, 2, 1, 1, 4, 0, 2, 2, 4, 2, 2, 0, 3, 3, 2, 2, 3, 3, 4, 3, 2, 2, 2, 0, 1, 4, 3, 0, 1, 0, 4, 3, 0, 3, 1, 3, 3, 4, 1, 2, 4, 2, 4, 2, 0, 4, 3, 1, 2, 3, 2, 4, 1, 0, 0, 4, 1, 1, 2, 1, 2, 3, 2, 0, 3, 3, 2, 1, 4, 4, 1, 4, 4, 1, 1, 4, 0, 1, 3, 4, 4, 1, 0, 1, 1, 4, 1, 2, 0, 2, 3, 4, 4, 0, 2, 0, 3, 3, 3, 1, 4, 0, 0, 0, 4, 4, 2, 4, 0, 1, 1, 1, 2, 3, 1, 1, 3, 3, 1, 2, 1, 2, 1, 1, 0, 3, 1, 4, 0, 1, 4, 2, 1, 4, 2, 0, 3, 2, 3, 0, 4, 2, 4, 1, 3, 2, 0, 4, 2, 1, 4, 0, 2, 4, 0, 0, 3, 2, 1, 3, 0, 2, 2, 3, 3, 1, 2, 1, 4, 4, 3, 0, 1, 3, 4, 2, 2, 3, 2, 2, 2, 0, 4, 1, 4, 2, 1, 1, 3, 4, 2, 0, 3, 2, 4, 0, 3, 3, 0, 4, 3, 1, 2, 0, 0, 1, 4, 3, 3, 1, 1, 3, 3, 0, 4, 4, 0, 3, 3, 4, 0, 1, 0, 4, 2, 0, 1, 3, 4, 1, 3, 0, 1, 1, 1, 3, 4, 1, 2, 4, 4, 0, 2, 0, 2, 2, 4, 4, 3, 1, 0, 1, 0, 4, 4, 0, 1, 4, 3, 2, 2, 4, 3, 4, 2, 0, 4, 2, 2, 2, 0, 4, 3, 2, 4, 1, 0, 4, 0, 3, 4, 0, 2, 0, 3, 1, 1, 0, 4, 0, 4, 2, 0, 3, 2, 2, 0, 0, 1, 3, 3, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 3, 2, 2, 4, 1, 3, 2, 1, 4, 0, 0, 2, 0, 4, 3, 2, 2, 2, 3, 0, 0, 0, 0, 1, 2, 1, 4, 3, 1, 3, 3, 4, 1, 4, 2, 1, 3, 3, 4, 2, 0, 4, 1, 2, 1, 4, 1, 4, 4, 1]
pubkeycol1232 = [1, 0, 1, 2, 0, 3, 4, 3, 1, 2, 2, 0, 0, 4, 3, 0, 0, 1, 2, 3, 2, 2, 2, 1, 3, 4, 4, 2, 3, 1, 4, 2, 4, 2, 2, 3, 3, 4, 0, 2, 4, 2, 3, 0, 0, 3, 4, 2, 4, 3, 1, 1, 2, 3, 3, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 3, 4, 4, 3, 4, 1, 1, 4, 3, 1, 1, 1, 1, 2, 4, 0, 0, 2, 2, 4, 1, 1, 2, 4, 4, 2, 3, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 3, 0, 0, 2, 2, 3, 2, 4, 4, 4, 3, 1, 2, 4, 1, 0, 4, 3, 2, 1, 3, 2, 1, 0, 2, 1, 0, 2, 1, 4, 4, 0, 2, 0, 2, 1, 2, 0, 0, 4, 0, 0, 3, 1, 2, 3, 4, 2, 3, 0, 0, 0, 1, 0, 3, 1, 1, 1, 1, 3, 0, 4, 2, 1, 2, 1, 0, 3, 0, 1, 2, 1, 0, 4, 0, 4, 3, 3, 0, 0, 0, 3, 1, 0, 3, 1, 3, 2, 1, 3, 0, 1, 2, 4, 4, 2, 1, 3, 0, 0, 3, 0, 4, 4, 3, 0, 1, 3, 1, 2, 1, 0, 3, 2, 1, 4, 1, 2, 2, 1, 0, 3, 0, 4, 4, 0, 1, 4, 3, 0, 2, 2, 1, 1, 1, 3, 4, 1, 4, 1, 4, 1, 0, 4, 1, 4, 3, 4, 0, 3, 0, 4, 2, 3, 0, 3, 1, 4, 2, 1, 2, 0, 2, 0, 4, 2, 1, 2, 0, 3, 3, 4, 4, 2, 4, 4, 2, 0, 4, 3, 3, 0, 4, 3, 4, 4, 3, 2, 1, 2, 2, 3, 3, 4, 4, 0, 4, 1, 4, 4, 0, 3, 2, 1, 3, 3, 4, 0, 2, 1, 1, 1, 2, 3, 2, 1, 4, 4, 4, 4, 3, 1, 4, 4, 2, 4, 1, 2, 2, 2, 3, 1, 1, 0, 2, 4, 3, 4, 2, 0, 4, 3, 4, 0, 1, 3, 2, 3, 4, 3, 0, 3, 2, 3, 2, 0, 4, 2, 4, 1, 1, 3, 4, 1, 1, 3, 0, 4, 2, 0, 4, 1, 0, 2, 0, 4, 0, 1, 0, 3, 0, 3, 0, 1, 3, 4, 3, 1, 1, 1, 1, 2, 3, 4, 0, 0, 3]
pubkeycol1233 = [4, 4, 1, 3, 2, 1, 4, 0, 3, 4, 0, 2, 0, 4, 2, 0, 1, 4, 1, 0, 1, 0, 1, 1, 2, 1, 3, 3, 3, 2, 2, 4, 4, 2, 1, 2, 0, 2, 2, 4, 0, 2, 1, 3, 3, 1, 1, 0, 1, 3, 0, 2, 2, 4, 1, 1, 4, 4, 3, 4, 1, 2, 1, 4, 2, 0, 4, 4, 3, 1, 0, 4, 1, 1, 4, 1, 2, 0, 0, 4, 4, 3, 1, 2, 0, 1, 2, 1, 4, 1, 0, 4, 2, 0, 0, 3, 4, 3, 2, 4, 2, 3, 4, 0, 2, 0, 3, 3, 0, 4, 4, 2, 4, 1, 0, 4, 0, 4, 2, 4, 2, 1, 0, 1, 4, 1, 1, 3, 2, 3, 1, 3, 0, 2, 0, 1, 0, 1, 1, 3, 0, 3, 1, 3, 3, 1, 0, 1, 3, 4, 0, 1, 4, 1, 0, 1, 2, 4, 4, 1, 1, 4, 1, 4, 3, 3, 4, 4, 0, 4, 0, 3, 0, 2, 1, 4, 3, 1, 4, 1, 1, 4, 3, 4, 2, 0, 0, 1, 0, 1, 3, 2, 1, 3, 0, 4, 4, 3, 0, 2, 2, 0, 4, 1, 0, 4, 0, 1, 1, 4, 0, 4, 3, 4, 1, 2, 0, 4, 0, 4, 2, 0, 0, 2, 4, 0, 3, 1, 0, 4, 4, 4, 2, 2, 1, 1, 1, 1, 3, 1, 4, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 2, 0, 0, 3, 4, 2, 2, 3, 3, 0, 4, 0, 3, 0, 3, 2, 1, 2, 3, 3, 0, 2, 2, 0, 3, 3, 4, 2, 0, 2, 1, 4, 2, 0, 2, 4, 2, 2, 2, 4, 2, 3, 2, 0, 0, 4, 0, 1, 2, 4, 0, 0, 2, 3, 4, 0, 3, 2, 3, 1, 0, 4, 1, 2, 2, 3, 1, 3, 0, 2, 1, 0, 0, 0, 1, 1, 1, 3, 2, 2, 1, 4, 3, 1, 2, 1, 2, 0, 1, 3, 4, 4, 3, 1, 1, 1, 2, 2, 3, 4, 3, 3, 1, 2, 2, 2, 1, 0, 3, 2, 1, 1, 2, 0, 2, 3, 4, 0, 2, 1, 1, 3, 0, 4, 2, 4, 2, 0, 0, 2, 4, 2, 1, 1, 3, 4, 2, 2, 4, 3, 2, 2, 4, 3, 4, 2, 0]
pubkeycol1234 = [0, 1, 4, 2, 2, 0, 4, 3, 2, 2, 4, 4, 1, 0, 4, 3, 0, 3, 1, 4, 2, 1, 4, 4, 0, 3, 2, 1, 4, 4, 2, 4, 3, 4, 4, 1, 4, 0, 2, 4, 2, 1, 2, 4, 2, 1, 4, 2, 2, 2, 3, 0, 4, 3, 4, 0, 0, 4, 1, 1, 0, 4, 2, 0, 0, 1, 4, 1, 3, 4, 2, 4, 4, 0, 1, 0, 3, 4, 0, 1, 2, 2, 1, 4, 2, 0, 1, 1, 1, 1, 2, 2, 1, 4, 2, 3, 1, 0, 4, 3, 1, 2, 0, 3, 0, 4, 4, 4, 3, 3, 4, 1, 2, 1, 3, 4, 4, 3, 3, 2, 1, 4, 0, 2, 2, 2, 1, 3, 3, 4, 0, 2, 0, 1, 1, 1, 3, 4, 0, 0, 4, 2, 2, 1, 0, 4, 1, 0, 0, 2, 2, 3, 0, 3, 0, 3, 4, 0, 1, 4, 4, 4, 3, 4, 2, 4, 2, 1, 4, 2, 4, 3, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 2, 4, 3, 3, 0, 3, 2, 3, 1, 2, 3, 2, 3, 2, 0, 2, 1, 3, 4, 3, 1, 4, 3, 0, 4, 1, 1, 0, 1, 4, 4, 0, 1, 0, 1, 0, 4, 2, 4, 4, 3, 2, 4, 2, 3, 4, 0, 0, 3, 3, 3, 0, 1, 0, 3, 2, 4, 3, 1, 3, 4, 0, 4, 3, 2, 4, 2, 1, 3, 4, 4, 3, 1, 0, 2, 1, 4, 3, 1, 2, 1, 2, 0, 3, 0, 4, 3, 0, 4, 0, 2, 1, 3, 2, 3, 1, 1, 2, 2, 1, 2, 1, 2, 3, 0, 3, 2, 2, 2, 4, 1, 1, 3, 2, 0, 2, 4, 2, 3, 4, 3, 2, 2, 0, 3, 1, 2, 0, 3, 0, 2, 1, 2, 4, 3, 1, 0, 4, 1, 2, 0, 4, 0, 2, 0, 4, 1, 4, 1, 4, 3, 0, 1, 4, 0, 2, 2, 3, 4, 4, 1, 1, 1, 1, 3, 3, 2, 0, 4, 3, 4, 0, 1, 3, 4, 0, 1, 2, 4, 4, 0, 0, 0, 3, 2, 0, 4, 4, 1, 1, 0, 2, 2, 1, 0, 2, 4, 0, 3, 1, 1, 4, 4, 3, 4, 4, 1, 1, 4, 0, 1, 2, 3, 1, 4, 0, 1, 0]
pubkeycol1235 = [0, 3, 1, 1, 0, 4, 0, 0, 4, 2, 2, 0, 0, 0, 3, 2, 4, 4, 3, 1, 0, 1, 0, 4, 4, 4, 4, 1, 4, 1, 1, 3, 0, 3, 2, 1, 0, 4, 4, 0, 2, 4, 0, 0, 0, 4, 0, 3, 4, 3, 4, 4, 2, 0, 3, 3, 4, 1, 3, 4, 3, 2, 4, 1, 4, 3, 4, 2, 0, 4, 1, 4, 1, 4, 4, 4, 2, 1, 4, 4, 2, 4, 3, 0, 3, 1, 1, 1, 1, 4, 0, 3, 2, 1, 2, 4, 0, 3, 4, 1, 2, 3, 3, 1, 2, 4, 4, 3, 3, 4, 4, 1, 4, 2, 3, 2, 0, 3, 0, 1, 1, 4, 4, 3, 3, 3, 0, 0, 0, 3, 2, 3, 3, 0, 3, 3, 2, 3, 4, 1, 4, 3, 0, 1, 2, 0, 3, 2, 0, 1, 4, 3, 2, 4, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 3, 1, 4, 4, 1, 4, 3, 3, 3, 2, 2, 2, 4, 0, 3, 2, 4, 4, 0, 2, 3, 4, 3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 2, 0, 3, 4, 0, 3, 0, 3, 0, 1, 2, 2, 2, 0, 3, 1, 0, 3, 2, 0, 4, 4, 0, 4, 4, 4, 4, 2, 1, 0, 4, 2, 0, 4, 1, 3, 0, 4, 0, 4, 2, 2, 0, 4, 0, 3, 1, 1, 0, 0, 1, 4, 3, 4, 3, 2, 1, 2, 0, 0, 3, 0, 4, 4, 3, 2, 0, 4, 4, 2, 3, 3, 1, 2, 1, 4, 0, 1, 3, 3, 4, 2, 4, 4, 0, 1, 0, 3, 1, 0, 2, 4, 3, 3, 2, 4, 1, 4, 0, 2, 2, 2, 2, 0, 1, 2, 4, 2, 2, 1, 2, 3, 4, 0, 1, 3, 0, 1, 3, 1, 4, 0, 1, 2, 3, 2, 4, 4, 4, 2, 4, 1, 4, 2, 1, 1, 0, 2, 4, 4, 2, 3, 3, 3, 4, 1, 4, 0, 2, 2, 1, 2, 4, 3, 1, 0, 1, 4, 3, 1, 0, 1, 3, 1, 4, 3, 1, 3, 3, 1, 3, 0, 3, 3, 0, 3, 3, 0, 3, 4, 4, 4, 3, 1, 4, 1, 3, 0, 2, 3, 1, 3, 2, 2, 3, 0, 0]
pubkeycol1236 = [4, 1, 0, 0, 3, 0, 1, 0, 2, 4, 3, 0, 0, 2, 0, 0, 1, 2, 3, 2, 1, 3, 1, 2, 4, 0, 1, 2, 2, 4, 1, 0, 1, 1, 1, 4, 1, 1, 3, 1, 4, 3, 4, 3, 0, 2, 4, 3, 2, 4, 0, 1, 3, 2, 0, 2, 0, 2, 3, 1, 1, 3, 4, 1, 1, 2, 0, 0, 3, 3, 3, 1, 2, 4, 4, 0, 3, 0, 0, 0, 3, 3, 3, 0, 4, 2, 3, 3, 2, 3, 1, 4, 4, 3, 4, 2, 3, 1, 0, 1, 0, 1, 0, 0, 4, 2, 2, 3, 1, 0, 2, 2, 4, 0, 1, 3, 2, 2, 2, 3, 1, 0, 3, 2, 3, 2, 2, 3, 1, 4, 0, 1, 1, 0, 2, 2, 4, 2, 4, 0, 0, 4, 2, 2, 0, 0, 1, 2, 1, 3, 0, 0, 3, 2, 0, 2, 4, 0, 1, 4, 2, 2, 1, 1, 0, 4, 2, 2, 4, 1, 3, 0, 4, 2, 0, 4, 4, 0, 2, 2, 3, 2, 2, 3, 2, 3, 0, 0, 3, 2, 2, 4, 2, 1, 0, 0, 3, 0, 4, 0, 3, 3, 3, 4, 2, 1, 0, 4, 0, 4, 3, 4, 0, 0, 1, 1, 2, 3, 2, 1, 2, 4, 1, 2, 2, 4, 0, 3, 0, 3, 0, 4, 3, 3, 1, 3, 1, 1, 3, 3, 3, 1, 4, 2, 2, 2, 2, 3, 3, 3, 2, 1, 3, 0, 4, 0, 0, 2, 1, 0, 0, 3, 1, 4, 4, 2, 3, 0, 4, 4, 1, 4, 0, 0, 2, 0, 1, 4, 4, 3, 2, 1, 3, 3, 4, 4, 1, 0, 3, 4, 1, 0, 1, 2, 2, 2, 1, 4, 0, 4, 4, 0, 0, 4, 2, 0, 1, 2, 3, 4, 2, 3, 3, 3, 2, 4, 1, 3, 4, 1, 4, 0, 1, 0, 3, 1, 3, 1, 2, 0, 2, 0, 3, 2, 0, 3, 4, 0, 3, 0, 0, 4, 0, 4, 2, 0, 0, 4, 1, 0, 4, 0, 3, 0, 1, 0, 0, 3, 0, 3, 3, 4, 0, 0, 3, 3, 2, 3, 4, 3, 2, 4, 0, 0, 4, 3, 0, 0, 4, 0, 4, 2, 3, 1, 4, 1, 3, 3, 1, 1, 0, 1, 0, 0, 1, 4, 0, 2, 1, 2]
pubkeycol1237 = [4, 0, 2, 3, 3, 0, 4, 0, 3, 3, 1, 0, 1, 4, 0, 3, 2, 2, 3, 2, 4, 4, 4, 1, 4, 0, 1, 3, 4, 4, 4, 1, 2, 3, 0, 2, 3, 2, 4, 3, 3, 4, 1, 3, 3, 3, 3, 0, 4, 1, 2, 2, 4, 3, 1, 4, 2, 4, 1, 2, 2, 0, 0, 2, 0, 4, 0, 2, 3, 0, 2, 1, 1, 2, 4, 4, 2, 4, 4, 0, 0, 4, 2, 1, 3, 0, 3, 1, 1, 2, 3, 0, 1, 1, 4, 1, 4, 3, 2, 0, 3, 1, 0, 0, 4, 0, 4, 2, 0, 2, 0, 2, 0, 0, 4, 2, 0, 2, 2, 1, 3, 0, 2, 3, 4, 0, 3, 3, 0, 1, 3, 2, 2, 0, 2, 4, 3, 2, 3, 1, 3, 2, 1, 3, 2, 4, 2, 4, 1, 2, 3, 1, 4, 1, 2, 2, 1, 4, 0, 1, 3, 1, 4, 4, 3, 4, 0, 0, 1, 4, 0, 3, 0, 3, 3, 2, 3, 2, 2, 4, 0, 4, 4, 3, 1, 2, 0, 3, 4, 1, 4, 2, 2, 0, 2, 0, 2, 1, 4, 2, 0, 1, 1, 4, 1, 1, 1, 3, 0, 1, 0, 2, 0, 4, 4, 0, 4, 4, 4, 0, 3, 3, 4, 0, 3, 2, 2, 0, 1, 1, 0, 4, 3, 0, 1, 0, 2, 2, 4, 3, 4, 3, 4, 2, 0, 4, 4, 0, 1, 4, 4, 4, 4, 0, 0, 0, 0, 4, 2, 4, 2, 4, 3, 2, 2, 3, 2, 0, 3, 0, 3, 1, 3, 0, 4, 1, 1, 3, 4, 0, 0, 3, 1, 4, 0, 3, 2, 3, 3, 1, 0, 4, 2, 1, 1, 1, 2, 1, 3, 4, 0, 4, 0, 0, 2, 0, 3, 1, 3, 4, 3, 1, 3, 2, 4, 2, 2, 4, 2, 4, 0, 4, 1, 3, 4, 0, 0, 0, 2, 2, 3, 3, 0, 0, 4, 4, 0, 4, 0, 0, 1, 3, 0, 3, 0, 1, 1, 0, 0, 4, 4, 2, 1, 2, 1, 1, 2, 3, 1, 4, 2, 1, 1, 0, 3, 4, 4, 2, 0, 1, 2, 1, 0, 3, 3, 2, 0, 1, 2, 4, 0, 1, 4, 3, 1, 3, 3, 0, 2, 1, 4, 4, 2, 4, 0, 2, 2, 0, 0, 4]
pubkeycol1238 = [3, 4, 0, 0, 2, 1, 0, 4, 3, 3, 0, 1, 0, 4, 2, 2, 0, 0, 4, 2, 0, 4, 2, 4, 1, 4, 4, 3, 4, 2, 0, 4, 2, 3, 3, 0, 1, 3, 4, 0, 0, 4, 4, 4, 2, 1, 3, 2, 2, 3, 1, 3, 4, 4, 0, 4, 3, 1, 1, 2, 2, 1, 3, 0, 2, 4, 1, 2, 2, 4, 3, 2, 4, 1, 0, 1, 3, 2, 4, 2, 3, 4, 1, 3, 2, 0, 4, 4, 2, 1, 3, 2, 3, 1, 3, 2, 2, 3, 0, 2, 1, 2, 4, 2, 1, 4, 3, 0, 4, 2, 2, 2, 4, 3, 1, 0, 4, 2, 3, 1, 1, 4, 0, 0, 1, 2, 1, 3, 1, 1, 2, 3, 4, 3, 4, 2, 2, 2, 3, 0, 2, 3, 1, 1, 4, 1, 0, 2, 1, 2, 3, 2, 1, 3, 4, 4, 3, 0, 3, 0, 0, 3, 4, 3, 3, 0, 3, 2, 2, 3, 3, 2, 0, 2, 3, 1, 1, 1, 2, 2, 0, 2, 2, 4, 4, 4, 3, 4, 0, 3, 0, 1, 0, 2, 1, 0, 2, 2, 3, 0, 3, 4, 0, 0, 4, 1, 1, 4, 1, 1, 3, 3, 3, 0, 1, 0, 0, 2, 4, 4, 0, 2, 1, 4, 3, 0, 3, 2, 0, 3, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 4, 2, 1, 3, 2, 4, 4, 2, 3, 1, 3, 3, 1, 1, 2, 2, 3, 0, 1, 3, 3, 4, 3, 2, 0, 4, 4, 3, 2, 3, 2, 2, 4, 4, 1, 2, 3, 2, 4, 1, 1, 4, 4, 3, 2, 1, 4, 3, 1, 2, 0, 3, 2, 3, 0, 0, 3, 3, 0, 4, 2, 1, 2, 1, 3, 1, 4, 1, 2, 4, 2, 0, 1, 1, 3, 2, 2, 3, 4, 2, 4, 3, 1, 3, 4, 1, 3, 3, 0, 3, 2, 4, 2, 3, 3, 3, 2, 0, 3, 1, 1, 3, 4, 4, 0, 2, 2, 4, 4, 3, 3, 1, 4, 2, 4, 0, 1, 1, 0, 0, 4, 1, 2, 0, 1, 2, 0, 3, 1, 1, 4, 3, 1, 2, 1, 3, 4, 2, 3, 4, 1, 0, 0, 4, 1, 3, 2, 2, 2, 2, 3, 1, 0, 4, 0, 2, 0, 4, 4, 0]
pubkeycol1239 = [0, 0, 4, 2, 4, 4, 2, 2, 1, 0, 0, 0, 1, 4, 3, 1, 3, 1, 0, 0, 3, 2, 1, 3, 2, 1, 4, 0, 3, 3, 4, 2, 4, 3, 2, 4, 4, 3, 1, 1, 0, 1, 0, 1, 2, 4, 0, 2, 3, 4, 1, 1, 0, 3, 4, 1, 0, 4, 0, 2, 1, 3, 4, 3, 2, 1, 4, 1, 1, 2, 1, 0, 2, 4, 0, 3, 0, 2, 3, 4, 0, 2, 4, 4, 4, 4, 2, 2, 0, 2, 2, 4, 4, 0, 4, 1, 3, 4, 3, 1, 3, 0, 0, 4, 3, 0, 1, 1, 4, 0, 3, 2, 4, 1, 4, 4, 3, 2, 2, 3, 4, 0, 4, 1, 3, 3, 1, 2, 3, 4, 4, 1, 0, 0, 1, 4, 4, 1, 2, 4, 3, 4, 1, 3, 4, 1, 3, 3, 4, 1, 4, 2, 3, 2, 1, 2, 0, 0, 4, 4, 3, 0, 2, 2, 3, 2, 4, 2, 0, 3, 0, 2, 3, 4, 1, 1, 3, 0, 4, 0, 3, 1, 4, 0, 2, 1, 4, 2, 3, 4, 3, 1, 4, 1, 3, 2, 4, 0, 1, 1, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 4, 1, 0, 2, 4, 4, 4, 4, 4, 3, 1, 1, 0, 3, 2, 3, 1, 2, 2, 3, 0, 1, 2, 3, 0, 0, 1, 4, 0, 4, 2, 4, 1, 3, 1, 1, 3, 4, 4, 0, 3, 3, 3, 2, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 1, 1, 3, 4, 3, 1, 1, 0, 3, 2, 3, 2, 3, 1, 1, 3, 4, 1, 0, 3, 4, 2, 4, 0, 3, 4, 3, 4, 4, 3, 0, 0, 1, 2, 2, 2, 3, 4, 2, 4, 1, 1, 4, 2, 1, 1, 3, 4, 3, 4, 4, 3, 0, 1, 2, 2, 2, 4, 1, 0, 3, 3, 1, 0, 3, 0, 0, 2, 2, 1, 4, 0, 4, 4, 4, 3, 4, 4, 2, 3, 2, 4, 0, 4, 2, 0, 3, 2, 0, 3, 2, 0, 0, 3, 1, 4, 3, 3, 2, 2, 1, 1, 4, 4, 2, 3, 1, 2, 3, 1, 0, 3, 3, 1, 3, 2, 1, 4, 1, 1, 2, 2, 0, 1, 1, 2, 4, 0, 1, 0, 3, 1, 0, 2, 1, 2]
pubkeycol1240 = [1, 1, 2, 2, 1, 0, 4, 4, 4, 0, 2, 4, 4, 0, 2, 3, 1, 0, 1, 1, 1, 4, 0, 2, 4, 1, 3, 1, 0, 0, 1, 3, 4, 1, 3, 4, 3, 4, 0, 3, 3, 1, 4, 3, 4, 2, 1, 4, 4, 4, 4, 2, 4, 3, 0, 2, 4, 0, 4, 4, 2, 3, 3, 2, 0, 1, 0, 1, 3, 3, 1, 3, 2, 0, 2, 0, 1, 4, 2, 3, 1, 0, 3, 0, 0, 1, 0, 4, 0, 2, 3, 3, 1, 4, 1, 0, 0, 0, 0, 4, 0, 1, 0, 2, 0, 1, 3, 4, 2, 4, 2, 4, 1, 4, 1, 0, 4, 3, 2, 0, 3, 1, 1, 1, 3, 2, 1, 3, 0, 1, 3, 1, 3, 1, 4, 1, 0, 2, 2, 0, 2, 3, 0, 4, 1, 0, 4, 0, 3, 0, 1, 4, 1, 1, 2, 4, 4, 4, 1, 2, 1, 0, 4, 4, 0, 2, 2, 3, 4, 4, 2, 3, 2, 3, 4, 4, 2, 4, 0, 4, 1, 3, 3, 0, 1, 3, 3, 3, 1, 4, 4, 2, 1, 4, 0, 1, 3, 3, 1, 4, 3, 3, 4, 4, 0, 1, 4, 0, 0, 4, 0, 4, 3, 1, 4, 4, 2, 0, 0, 2, 4, 3, 2, 1, 2, 4, 0, 3, 0, 4, 1, 0, 2, 4, 0, 2, 1, 2, 1, 3, 4, 4, 0, 2, 1, 4, 4, 2, 0, 2, 2, 0, 1, 4, 2, 3, 2, 0, 4, 4, 0, 2, 3, 1, 1, 3, 3, 0, 3, 4, 4, 1, 3, 4, 3, 4, 4, 1, 2, 2, 3, 2, 3, 3, 1, 4, 3, 0, 2, 1, 0, 2, 3, 1, 2, 2, 3, 2, 2, 2, 4, 4, 1, 2, 3, 4, 4, 0, 2, 3, 1, 3, 3, 4, 2, 3, 0, 0, 3, 1, 1, 3, 1, 3, 2, 4, 2, 0, 1, 0, 2, 3, 4, 0, 4, 3, 3, 1, 1, 3, 3, 4, 1, 1, 4, 2, 1, 1, 3, 1, 1, 0, 3, 1, 3, 0, 1, 3, 1, 3, 0, 1, 1, 3, 4, 4, 4, 1, 4, 1, 2, 0, 0, 3, 2, 4, 2, 0, 2, 4, 2, 2, 3, 3, 0, 3, 2, 0, 2, 4, 1, 0, 2, 3, 4, 4, 3, 0, 0, 2]
pubkeycol1241 = [1, 4, 2, 2, 4, 4, 2, 3, 2, 4, 0, 4, 4, 1, 0, 3, 1, 2, 0, 3, 0, 0, 0, 0, 1, 4, 3, 4, 4, 1, 4, 3, 0, 3, 3, 3, 1, 4, 4, 2, 4, 4, 2, 4, 2, 0, 0, 0, 0, 1, 2, 0, 4, 3, 1, 3, 3, 3, 0, 0, 0, 2, 0, 2, 4, 3, 4, 3, 1, 0, 2, 2, 3, 0, 4, 0, 3, 2, 0, 1, 0, 0, 1, 0, 3, 4, 4, 0, 3, 0, 0, 0, 3, 3, 4, 1, 0, 3, 0, 4, 3, 1, 1, 3, 2, 2, 2, 2, 4, 0, 2, 0, 2, 3, 4, 0, 2, 0, 3, 0, 0, 0, 2, 2, 1, 2, 3, 4, 1, 2, 2, 0, 4, 0, 4, 4, 4, 4, 0, 2, 2, 3, 2, 1, 2, 0, 1, 1, 4, 2, 4, 4, 0, 1, 2, 1, 3, 4, 0, 3, 1, 0, 1, 2, 2, 3, 4, 1, 2, 1, 3, 1, 3, 3, 3, 0, 3, 1, 1, 1, 1, 4, 2, 2, 1, 3, 3, 4, 4, 4, 1, 2, 1, 0, 4, 3, 4, 2, 1, 1, 4, 3, 4, 3, 0, 0, 1, 2, 3, 4, 1, 2, 4, 3, 2, 0, 0, 1, 1, 1, 2, 4, 1, 3, 0, 0, 0, 3, 3, 4, 0, 2, 3, 0, 1, 3, 2, 1, 0, 4, 2, 0, 2, 2, 1, 4, 1, 4, 2, 0, 3, 0, 1, 3, 2, 2, 0, 0, 3, 1, 4, 2, 2, 2, 1, 0, 3, 2, 3, 1, 2, 2, 4, 1, 0, 1, 0, 2, 4, 1, 0, 0, 1, 1, 3, 3, 4, 4, 3, 0, 2, 1, 0, 0, 4, 4, 4, 2, 4, 3, 3, 3, 0, 2, 1, 2, 3, 0, 4, 1, 0, 1, 4, 3, 1, 1, 3, 2, 2, 1, 3, 2, 0, 4, 1, 1, 4, 0, 2, 3, 0, 0, 1, 3, 1, 0, 1, 4, 2, 3, 0, 3, 4, 1, 4, 4, 2, 3, 4, 0, 3, 2, 0, 1, 0, 1, 0, 1, 3, 2, 0, 2, 1, 0, 4, 3, 0, 3, 3, 3, 0, 3, 2, 4, 4, 2, 1, 1, 2, 0, 4, 1, 0, 1, 1, 4, 1, 2, 1, 1, 3, 2, 0, 1, 0, 1, 3, 1, 4, 4]
pubkeycol1242 = [4, 1, 4, 0, 4, 3, 0, 2, 4, 0, 2, 4, 2, 4, 2, 2, 4, 2, 3, 1, 4, 1, 3, 2, 0, 4, 2, 4, 1, 4, 2, 1, 4, 2, 2, 1, 1, 4, 2, 3, 0, 1, 0, 3, 1, 4, 0, 1, 1, 0, 0, 0, 1, 0, 4, 3, 0, 1, 2, 1, 1, 1, 1, 4, 4, 0, 3, 3, 3, 0, 4, 1, 0, 3, 2, 0, 4, 1, 0, 1, 4, 4, 0, 4, 4, 3, 2, 0, 1, 0, 4, 0, 0, 3, 0, 1, 4, 2, 3, 1, 4, 4, 0, 1, 0, 0, 1, 2, 3, 3, 3, 1, 4, 0, 3, 2, 1, 4, 0, 2, 1, 4, 2, 1, 0, 1, 2, 3, 2, 0, 4, 3, 3, 4, 1, 3, 2, 3, 3, 1, 4, 1, 4, 0, 3, 0, 4, 4, 2, 2, 4, 4, 4, 0, 3, 0, 1, 1, 1, 4, 0, 3, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 1, 1, 4, 2, 4, 4, 0, 2, 3, 4, 0, 4, 0, 3, 2, 4, 2, 0, 0, 4, 0, 3, 2, 3, 1, 4, 1, 2, 4, 4, 2, 3, 4, 0, 3, 3, 0, 3, 2, 2, 1, 0, 0, 3, 0, 4, 4, 1, 4, 3, 0, 2, 4, 2, 1, 4, 1, 0, 0, 4, 2, 3, 4, 2, 3, 0, 2, 1, 1, 4, 2, 1, 0, 2, 3, 2, 4, 3, 0, 0, 1, 1, 4, 3, 1, 3, 2, 1, 4, 0, 2, 4, 0, 2, 1, 0, 1, 3, 0, 2, 2, 4, 2, 0, 1, 1, 3, 3, 3, 4, 3, 3, 3, 3, 4, 3, 2, 1, 2, 3, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 4, 3, 4, 3, 0, 1, 1, 3, 1, 0, 0, 2, 1, 1, 3, 1, 0, 1, 3, 0, 2, 0, 0, 2, 4, 3, 4, 3, 3, 4, 3, 2, 0, 1, 2, 4, 0, 2, 1, 1, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 0, 2, 2, 4, 3, 2, 2, 0, 4, 4, 1, 1, 2, 1, 0, 3, 4, 4, 1, 1, 1, 4, 4, 1, 3, 3, 1, 1, 3, 4, 3, 0, 1, 4, 4, 3, 4, 1, 2, 3, 4, 0, 0, 2]
pubkeycol1243 = [3, 1, 2, 1, 4, 1, 2, 4, 1, 1, 3, 2, 4, 3, 4, 1, 1, 2, 0, 1, 2, 3, 0, 3, 1, 1, 4, 0, 1, 2, 3, 1, 1, 1, 4, 0, 0, 0, 2, 0, 0, 3, 3, 1, 0, 4, 4, 3, 1, 3, 4, 1, 1, 3, 3, 1, 2, 2, 2, 0, 1, 2, 3, 2, 4, 2, 2, 0, 1, 0, 4, 3, 4, 4, 3, 2, 1, 0, 1, 0, 3, 3, 4, 0, 4, 2, 4, 0, 2, 2, 3, 2, 2, 3, 0, 3, 1, 0, 2, 3, 0, 2, 0, 0, 2, 1, 0, 2, 4, 1, 2, 3, 1, 1, 0, 1, 2, 2, 0, 0, 2, 3, 1, 4, 1, 0, 2, 2, 3, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 4, 2, 3, 3, 0, 1, 1, 0, 2, 4, 4, 1, 1, 1, 0, 3, 0, 4, 3, 0, 1, 1, 3, 0, 4, 2, 4, 1, 2, 1, 2, 1, 0, 0, 0, 3, 2, 0, 4, 1, 1, 2, 0, 4, 2, 3, 0, 3, 1, 2, 3, 4, 1, 2, 1, 4, 1, 0, 4, 3, 1, 0, 1, 4, 4, 0, 4, 1, 1, 4, 1, 2, 3, 4, 2, 2, 4, 3, 2, 4, 3, 2, 0, 1, 3, 1, 2, 4, 0, 3, 2, 3, 3, 4, 3, 3, 3, 2, 4, 4, 1, 4, 4, 3, 0, 4, 3, 3, 3, 3, 4, 3, 2, 2, 1, 3, 4, 3, 0, 1, 0, 0, 2, 1, 2, 0, 3, 1, 4, 0, 0, 2, 2, 3, 4, 2, 1, 1, 0, 2, 0, 1, 0, 2, 3, 2, 2, 3, 0, 1, 3, 4, 1, 2, 1, 0, 1, 3, 1, 4, 0, 1, 2, 3, 0, 2, 4, 3, 4, 2, 4, 2, 2, 1, 1, 2, 4, 4, 1, 0, 2, 0, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 0, 3, 4, 1, 1, 3, 0, 4, 0, 4, 4, 4, 2, 4, 1, 4, 2, 1, 4, 0, 4, 4, 2, 0, 1, 4, 0, 4, 3, 1, 1, 4, 4, 1, 2, 4, 1, 1, 4, 4, 0, 4, 1, 1, 4, 2, 4, 0, 2, 4, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 3, 2, 4, 0, 1, 1, 4, 3, 3]
pubkeycol1244 = [0, 0, 1, 2, 1, 3, 2, 0, 2, 1, 1, 1, 2, 4, 0, 3, 4, 4, 2, 0, 3, 2, 1, 4, 3, 3, 1, 1, 1, 3, 1, 3, 0, 0, 3, 3, 4, 1, 1, 2, 1, 0, 2, 4, 4, 3, 3, 1, 0, 0, 3, 0, 3, 4, 4, 3, 1, 1, 3, 1, 3, 2, 3, 1, 4, 3, 4, 1, 4, 1, 2, 1, 2, 0, 1, 3, 4, 4, 1, 1, 1, 4, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 4, 0, 2, 4, 0, 4, 2, 3, 0, 2, 4, 3, 4, 3, 3, 2, 3, 1, 3, 3, 0, 3, 3, 1, 4, 3, 4, 4, 0, 2, 4, 4, 3, 3, 1, 1, 0, 3, 3, 0, 3, 4, 0, 0, 4, 4, 4, 2, 2, 1, 2, 4, 2, 1, 0, 4, 0, 1, 4, 4, 4, 4, 3, 4, 4, 0, 2, 2, 2, 2, 1, 0, 0, 0, 4, 2, 0, 0, 3, 1, 3, 3, 3, 0, 1, 0, 2, 0, 0, 3, 4, 4, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 2, 4, 2, 2, 4, 0, 0, 2, 4, 0, 1, 2, 4, 4, 4, 2, 3, 3, 1, 4, 1, 0, 3, 2, 2, 4, 4, 2, 4, 3, 2, 3, 3, 4, 4, 2, 2, 3, 1, 4, 1, 0, 1, 0, 3, 1, 4, 4, 1, 2, 0, 2, 0, 1, 4, 0, 3, 3, 3, 0, 4, 0, 0, 3, 1, 2, 1, 4, 4, 3, 4, 3, 0, 3, 1, 2, 1, 3, 1, 1, 3, 4, 2, 2, 3, 0, 2, 4, 1, 4, 3, 1, 0, 3, 2, 3, 3, 3, 0, 3, 0, 0, 2, 3, 4, 3, 4, 4, 0, 3, 0, 0, 3, 3, 0, 4, 0, 4, 3, 2, 4, 3, 4, 2, 0, 4, 0, 2, 3, 2, 4, 3, 3, 0, 0, 2, 2, 4, 0, 3, 0, 4, 0, 4, 0, 4, 4, 2, 2, 3, 2, 0, 4, 3, 0, 0, 1, 2, 4, 4, 2, 0, 1, 3, 0, 2, 1, 3, 2, 3, 1, 1, 1, 4, 2, 2, 2, 3, 0, 4, 1, 1, 0, 2, 4, 3, 4, 1, 2, 1, 3, 1, 3, 4, 2, 0, 3, 3, 1, 3, 3, 4, 3]
pubkeycol1245 = [4, 1, 1, 0, 1, 2, 3, 0, 1, 3, 0, 2, 0, 3, 2, 2, 4, 3, 4, 0, 4, 4, 3, 3, 3, 1, 0, 3, 3, 0, 1, 3, 4, 0, 0, 4, 0, 1, 2, 2, 1, 1, 4, 4, 0, 2, 2, 0, 3, 0, 1, 1, 4, 2, 1, 1, 1, 0, 0, 3, 4, 4, 4, 3, 1, 1, 3, 4, 1, 0, 1, 2, 4, 4, 3, 4, 4, 4, 1, 2, 1, 4, 3, 0, 0, 0, 2, 1, 0, 3, 1, 0, 4, 0, 0, 4, 1, 2, 2, 2, 1, 0, 3, 3, 2, 4, 3, 2, 3, 0, 1, 1, 4, 2, 0, 0, 0, 0, 3, 0, 0, 3, 4, 4, 4, 1, 1, 3, 2, 2, 4, 1, 3, 3, 2, 4, 4, 2, 3, 0, 1, 3, 3, 4, 1, 1, 2, 1, 3, 1, 0, 3, 0, 2, 3, 2, 2, 0, 2, 0, 0, 0, 0, 0, 4, 2, 4, 3, 1, 1, 2, 4, 2, 3, 0, 2, 0, 4, 0, 3, 0, 2, 4, 3, 1, 0, 3, 3, 0, 0, 4, 4, 3, 1, 1, 4, 3, 4, 0, 3, 0, 2, 0, 1, 2, 2, 3, 3, 1, 1, 3, 1, 2, 4, 2, 3, 1, 1, 4, 4, 2, 2, 0, 3, 1, 4, 2, 3, 3, 3, 3, 2, 0, 1, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 4, 1, 4, 3, 4, 2, 0, 3, 4, 3, 2, 4, 2, 2, 3, 4, 4, 2, 1, 0, 0, 4, 0, 2, 3, 3, 0, 0, 4, 1, 1, 2, 3, 1, 2, 0, 2, 0, 0, 1, 3, 0, 2, 4, 0, 4, 2, 4, 4, 4, 3, 3, 2, 3, 4, 1, 1, 0, 0, 1, 0, 0, 4, 3, 2, 4, 3, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 4, 3, 2, 0, 0, 0, 0, 2, 2, 0, 3, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 3, 1, 0, 0, 0, 0, 4, 4, 1, 3, 4, 2, 3, 3, 0, 0, 3, 1, 2, 1, 4, 3, 2, 3, 2, 1, 1, 1, 0, 1, 3, 3, 2, 4, 4, 0, 2, 0, 1, 3, 1, 4, 1, 2, 2, 0, 0, 0, 2, 0, 3, 1]
pubkeycol1246 = [3, 4, 0, 2, 2, 0, 2, 4, 4, 2, 4, 3, 4, 3, 2, 2, 3, 0, 4, 4, 0, 3, 2, 1, 3, 1, 1, 3, 0, 1, 2, 0, 3, 1, 4, 3, 0, 4, 3, 1, 0, 1, 4, 0, 1, 0, 2, 1, 3, 2, 0, 0, 2, 1, 0, 1, 2, 1, 3, 0, 3, 1, 1, 2, 2, 2, 1, 0, 0, 2, 3, 0, 2, 0, 1, 2, 3, 4, 3, 2, 3, 1, 1, 4, 2, 1, 2, 2, 1, 3, 2, 2, 4, 1, 1, 1, 1, 2, 2, 0, 2, 1, 4, 4, 4, 2, 0, 4, 0, 2, 1, 1, 3, 3, 1, 4, 0, 2, 1, 0, 4, 1, 2, 1, 2, 3, 2, 2, 4, 2, 4, 3, 4, 2, 3, 0, 4, 1, 3, 2, 0, 0, 3, 4, 2, 0, 2, 3, 0, 2, 4, 3, 2, 3, 3, 1, 3, 0, 3, 0, 2, 1, 1, 3, 1, 0, 4, 2, 2, 3, 4, 0, 4, 4, 4, 3, 2, 4, 0, 2, 4, 3, 2, 4, 4, 0, 0, 2, 3, 3, 4, 2, 3, 1, 2, 2, 4, 0, 2, 3, 0, 0, 0, 1, 2, 1, 1, 2, 4, 3, 2, 2, 0, 4, 0, 2, 1, 0, 1, 0, 2, 4, 2, 4, 2, 4, 1, 1, 2, 0, 4, 0, 1, 0, 1, 0, 0, 1, 3, 0, 0, 0, 4, 3, 4, 1, 3, 1, 4, 3, 4, 4, 4, 1, 2, 2, 0, 3, 3, 1, 3, 0, 0, 0, 1, 3, 2, 2, 1, 0, 0, 3, 1, 2, 0, 0, 3, 0, 4, 4, 2, 1, 1, 4, 4, 4, 0, 0, 2, 3, 3, 1, 3, 1, 0, 4, 3, 4, 2, 4, 0, 3, 3, 4, 2, 0, 3, 3, 2, 3, 0, 3, 1, 4, 0, 1, 3, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 3, 3, 3, 0, 3, 1, 4, 2, 1, 0, 2, 2, 1, 4, 4, 0, 2, 2, 1, 0, 1, 3, 4, 1, 0, 0, 2, 1, 4, 3, 3, 2, 4, 1, 2, 3, 3, 0, 4, 4, 0, 4, 3, 2, 3, 4, 0, 2, 3, 4, 4, 4, 2, 3, 0, 0, 1, 1, 0, 2, 1, 2, 4, 1, 2, 1, 3, 4, 2, 4, 4, 3]
pubkeycol1247 = [0, 0, 0, 0, 3, 3, 1, 2, 3, 3, 3, 0, 1, 3, 3, 4, 0, 1, 2, 4, 2, 4, 4, 4, 1, 2, 3, 0, 3, 2, 1, 4, 1, 2, 3, 2, 4, 4, 0, 3, 0, 0, 0, 0, 2, 1, 1, 0, 3, 1, 0, 4, 4, 3, 0, 3, 4, 3, 4, 2, 2, 1, 3, 2, 2, 0, 2, 0, 4, 4, 2, 3, 4, 4, 2, 1, 3, 2, 2, 2, 0, 0, 0, 3, 2, 2, 1, 1, 0, 3, 1, 1, 0, 3, 1, 3, 1, 1, 0, 1, 0, 1, 3, 1, 4, 1, 1, 4, 4, 0, 3, 4, 3, 3, 4, 3, 1, 2, 3, 0, 3, 3, 2, 4, 3, 3, 2, 2, 0, 2, 0, 0, 4, 3, 0, 2, 4, 4, 2, 3, 4, 1, 0, 2, 2, 0, 4, 4, 1, 0, 2, 2, 3, 0, 3, 4, 4, 1, 3, 0, 3, 1, 0, 3, 4, 2, 0, 4, 3, 0, 1, 2, 4, 1, 1, 2, 2, 3, 1, 0, 3, 3, 1, 0, 3, 0, 3, 0, 3, 1, 0, 4, 4, 0, 4, 1, 4, 1, 1, 4, 0, 0, 4, 1, 4, 4, 2, 1, 0, 3, 1, 4, 3, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 3, 0, 0, 4, 3, 3, 1, 2, 2, 4, 3, 1, 0, 4, 0, 4, 2, 2, 1, 4, 1, 3, 2, 3, 1, 2, 3, 3, 4, 1, 3, 0, 3, 3, 0, 0, 4, 3, 3, 1, 4, 4, 3, 2, 2, 4, 0, 2, 3, 1, 1, 2, 1, 3, 1, 4, 3, 1, 3, 3, 2, 4, 4, 1, 4, 2, 3, 2, 0, 2, 1, 1, 4, 0, 3, 3, 4, 3, 1, 3, 2, 1, 1, 4, 1, 1, 3, 4, 4, 3, 3, 2, 0, 4, 4, 1, 2, 2, 0, 1, 2, 4, 0, 2, 4, 2, 1, 0, 4, 3, 0, 2, 4, 0, 4, 3, 3, 0, 3, 4, 4, 2, 4, 3, 2, 4, 2, 2, 1, 1, 2, 0, 1, 2, 2, 4, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 1, 0, 4, 4, 1, 2, 0, 3, 1, 1, 0, 3, 0, 2, 0, 3, 0, 4, 4, 0, 2, 0, 1, 2, 2, 0, 0, 0, 3, 1]
pubkeycol1248 = [0, 2, 4, 0, 3, 4, 4, 2, 1, 4, 4, 3, 4, 3, 3, 4, 0, 0, 1, 3, 1, 3, 2, 2, 1, 3, 4, 2, 4, 1, 0, 4, 3, 2, 0, 2, 0, 2, 3, 3, 4, 2, 0, 0, 4, 0, 4, 2, 3, 4, 2, 3, 1, 1, 0, 1, 3, 3, 2, 2, 4, 2, 3, 4, 2, 3, 0, 2, 3, 1, 1, 2, 1, 4, 2, 4, 2, 3, 1, 0, 2, 0, 4, 2, 2, 4, 4, 4, 4, 0, 3, 0, 4, 1, 4, 2, 1, 0, 4, 3, 0, 4, 1, 3, 0, 4, 0, 4, 4, 3, 3, 2, 1, 0, 1, 3, 2, 2, 2, 3, 2, 1, 1, 3, 1, 2, 3, 0, 0, 4, 1, 0, 2, 4, 4, 3, 0, 1, 3, 1, 4, 3, 3, 2, 2, 4, 1, 3, 0, 3, 4, 0, 3, 3, 0, 4, 2, 4, 2, 4, 0, 1, 3, 3, 4, 2, 3, 4, 3, 1, 4, 4, 3, 0, 2, 2, 3, 1, 1, 2, 1, 4, 4, 1, 3, 2, 0, 1, 0, 3, 2, 2, 1, 3, 2, 1, 2, 4, 0, 0, 0, 3, 0, 3, 4, 4, 1, 4, 4, 2, 0, 1, 3, 4, 2, 0, 3, 0, 3, 1, 1, 0, 2, 1, 4, 0, 3, 1, 3, 3, 1, 4, 2, 4, 0, 0, 1, 2, 4, 3, 4, 3, 1, 2, 2, 0, 4, 2, 2, 3, 2, 0, 2, 4, 1, 0, 0, 4, 3, 4, 3, 1, 2, 3, 3, 3, 3, 3, 0, 4, 2, 4, 3, 0, 4, 2, 1, 2, 2, 1, 3, 2, 2, 3, 0, 1, 2, 4, 4, 1, 2, 4, 2, 0, 1, 2, 1, 4, 4, 1, 1, 4, 1, 3, 2, 1, 0, 1, 0, 3, 0, 1, 4, 1, 3, 0, 0, 3, 1, 1, 3, 2, 0, 1, 3, 2, 1, 2, 2, 3, 0, 3, 1, 2, 1, 1, 0, 3, 2, 1, 3, 2, 4, 2, 0, 1, 0, 0, 4, 2, 4, 4, 1, 3, 1, 4, 3, 4, 3, 2, 4, 2, 2, 0, 3, 4, 2, 2, 3, 4, 4, 3, 4, 3, 0, 2, 0, 1, 2, 0, 1, 4, 4, 4, 1, 2, 3, 3, 0, 3, 3, 4, 4, 4, 0, 0, 0, 3, 0, 2]
pubkeycol1249 = [4, 3, 3, 3, 1, 2, 3, 4, 1, 2, 4, 1, 2, 0, 3, 0, 2, 1, 2, 2, 4, 3, 1, 4, 2, 2, 3, 2, 1, 2, 1, 2, 4, 4, 1, 1, 4, 2, 4, 4, 0, 2, 4, 1, 3, 2, 1, 0, 1, 0, 3, 2, 1, 4, 1, 1, 2, 3, 2, 3, 1, 0, 2, 3, 0, 2, 1, 2, 3, 4, 2, 1, 3, 0, 4, 4, 2, 2, 1, 4, 2, 0, 4, 2, 4, 0, 2, 0, 3, 2, 4, 3, 0, 2, 2, 1, 1, 2, 3, 1, 1, 0, 2, 4, 2, 1, 1, 3, 3, 2, 0, 2, 0, 4, 4, 2, 1, 3, 0, 2, 0, 4, 1, 4, 3, 1, 1, 3, 0, 1, 4, 3, 3, 0, 0, 0, 3, 4, 0, 1, 0, 4, 0, 1, 2, 4, 3, 1, 2, 0, 4, 2, 4, 0, 0, 1, 2, 3, 4, 1, 1, 3, 0, 0, 4, 2, 0, 1, 4, 2, 0, 3, 1, 0, 0, 0, 3, 3, 2, 1, 2, 1, 1, 2, 2, 1, 4, 2, 4, 3, 4, 3, 0, 2, 1, 4, 1, 3, 2, 2, 3, 0, 1, 0, 3, 0, 1, 4, 0, 1, 3, 4, 1, 1, 0, 0, 3, 0, 3, 4, 4, 3, 0, 0, 1, 1, 3, 2, 3, 0, 0, 2, 2, 4, 1, 1, 2, 1, 3, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 3, 4, 4, 1, 3, 2, 3, 2, 3, 4, 1, 1, 2, 1, 1, 4, 2, 3, 1, 1, 3, 0, 4, 2, 0, 4, 4, 2, 0, 2, 3, 0, 3, 4, 1, 1, 0, 0, 3, 0, 1, 0, 1, 1, 3, 1, 3, 2, 1, 3, 3, 2, 2, 2, 0, 1, 1, 1, 3, 1, 1, 1, 3, 0, 4, 3, 4, 2, 3, 0, 1, 4, 2, 4, 4, 0, 4, 1, 3, 2, 4, 1, 1, 0, 2, 3, 3, 1, 0, 2, 0, 0, 3, 3, 2, 1, 1, 2, 0, 2, 4, 1, 3, 1, 1, 1, 4, 3, 0, 4, 0, 0, 1, 4, 0, 0, 1, 0, 2, 0, 0, 3, 3, 2, 1, 2, 1, 3, 2, 4, 4, 0, 4, 4, 4, 4, 4, 1, 4, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 4, 3]
pubkeycol1250 = [0, 0, 0, 4, 2, 4, 1, 2, 3, 4, 0, 3, 1, 0, 1, 2, 2, 3, 2, 4, 4, 2, 1, 0, 1, 2, 1, 2, 4, 2, 0, 3, 1, 3, 4, 3, 4, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 3, 0, 4, 4, 3, 1, 0, 4, 3, 2, 2, 2, 3, 4, 2, 0, 1, 1, 2, 4, 4, 0, 3, 3, 2, 2, 3, 0, 1, 1, 4, 4, 0, 2, 0, 2, 2, 3, 4, 0, 4, 0, 3, 4, 2, 0, 1, 0, 2, 1, 4, 0, 4, 3, 2, 2, 2, 3, 1, 3, 2, 0, 3, 4, 1, 0, 4, 1, 4, 2, 0, 3, 1, 2, 0, 2, 2, 0, 3, 2, 1, 3, 0, 3, 0, 3, 3, 1, 2, 0, 0, 1, 3, 4, 2, 4, 0, 0, 3, 1, 2, 4, 0, 1, 2, 2, 3, 3, 0, 2, 0, 3, 2, 3, 0, 0, 1, 4, 1, 0, 3, 0, 4, 4, 0, 4, 3, 0, 1, 0, 3, 1, 2, 4, 0, 2, 3, 3, 1, 3, 2, 1, 1, 4, 1, 3, 4, 0, 4, 2, 3, 2, 0, 1, 3, 1, 3, 1, 2, 3, 0, 0, 0, 0, 4, 3, 2, 3, 3, 0, 1, 3, 1, 0, 3, 0, 3, 3, 3, 4, 3, 2, 4, 0, 2, 1, 3, 0, 1, 4, 2, 4, 2, 3, 4, 1, 1, 1, 2, 4, 3, 0, 1, 4, 1, 1, 3, 0, 0, 2, 4, 3, 0, 0, 4, 4, 2, 4, 0, 4, 1, 1, 0, 1, 4, 0, 4, 3, 4, 4, 3, 2, 1, 2, 2, 4, 4, 4, 4, 1, 4, 1, 4, 1, 3, 4, 3, 1, 2, 4, 4, 2, 3, 2, 2, 2, 1, 2, 2, 2, 4, 3, 2, 4, 0, 1, 3, 2, 4, 0, 4, 1, 0, 2, 0, 4, 1, 0, 1, 2, 0, 3, 3, 0, 2, 4, 3, 3, 0, 1, 0, 2, 2, 3, 0, 0, 4, 4, 0, 2, 3, 1, 1, 4, 0, 1, 4, 0, 1, 1, 1, 2, 2, 3, 4, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 4, 2, 1, 3, 0, 1, 4, 3, 0, 1, 2, 0, 1, 3, 3, 4, 2, 1, 0, 4, 1, 4, 3, 2, 0, 4, 4]
pubkeycol1251 = [2, 2, 0, 3, 2, 1, 4, 1, 0, 3, 3, 3, 3, 0, 0, 1, 2, 1, 1, 2, 3, 1, 1, 2, 2, 2, 4, 4, 0, 4, 1, 0, 0, 2, 3, 3, 1, 3, 0, 3, 3, 4, 0, 4, 0, 3, 1, 1, 3, 1, 2, 3, 1, 2, 1, 3, 4, 4, 0, 4, 0, 1, 4, 3, 3, 4, 3, 0, 4, 3, 0, 4, 3, 4, 2, 1, 3, 2, 3, 0, 0, 0, 3, 0, 3, 0, 3, 2, 3, 4, 2, 4, 3, 3, 2, 3, 1, 2, 0, 1, 0, 1, 1, 2, 1, 4, 3, 1, 4, 1, 1, 0, 4, 0, 2, 1, 3, 0, 2, 3, 1, 3, 3, 4, 0, 3, 3, 0, 1, 4, 3, 4, 2, 4, 2, 4, 0, 3, 1, 1, 1, 2, 3, 3, 3, 4, 1, 2, 2, 1, 0, 3, 2, 3, 1, 3, 4, 3, 2, 0, 1, 0, 4, 1, 3, 3, 2, 3, 0, 1, 4, 3, 0, 3, 1, 4, 4, 1, 3, 2, 0, 1, 3, 4, 4, 0, 2, 1, 0, 0, 4, 3, 1, 0, 2, 1, 0, 3, 3, 0, 3, 0, 2, 4, 4, 2, 3, 3, 1, 2, 4, 4, 0, 3, 2, 0, 1, 3, 3, 3, 1, 3, 4, 2, 2, 3, 2, 2, 2, 4, 3, 3, 4, 3, 4, 0, 3, 3, 2, 4, 3, 3, 4, 2, 4, 2, 0, 1, 0, 4, 1, 3, 1, 0, 4, 1, 2, 2, 1, 3, 1, 0, 4, 2, 3, 3, 2, 2, 4, 2, 1, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 4, 0, 1, 0, 3, 4, 1, 0, 0, 4, 0, 0, 3, 3, 0, 2, 3, 3, 3, 3, 0, 4, 1, 2, 2, 3, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 3, 1, 3, 1, 3, 4, 3, 4, 2, 0, 3, 1, 4, 3, 4, 3, 3, 1, 1, 0, 2, 4, 1, 2, 0, 3, 0, 4, 0, 3, 1, 0, 3, 2, 4, 2, 4, 0, 2, 3, 1, 4, 1, 0, 0, 0, 0, 3, 1, 4, 0, 2, 3, 2, 0, 4, 4, 3, 4, 2, 3, 4, 1, 2, 0, 0, 2, 1, 1, 2, 3, 4, 0, 1, 1, 2, 3, 3, 1, 1, 1, 2]
pubkeycol1252 = [4, 0, 3, 2, 4, 1, 0, 4, 0, 3, 0, 2, 3, 4, 4, 4, 1, 3, 2, 4, 1, 0, 4, 2, 4, 1, 0, 4, 0, 4, 3, 3, 1, 0, 4, 3, 1, 2, 1, 1, 1, 1, 3, 1, 4, 2, 0, 0, 0, 0, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 4, 0, 3, 4, 2, 0, 0, 1, 4, 1, 1, 0, 3, 3, 0, 1, 3, 4, 0, 3, 4, 4, 3, 4, 3, 1, 2, 4, 4, 0, 4, 1, 3, 2, 0, 2, 2, 1, 0, 4, 1, 2, 3, 1, 3, 4, 2, 1, 3, 3, 3, 1, 4, 1, 0, 1, 0, 3, 3, 2, 2, 3, 2, 0, 0, 2, 2, 4, 0, 3, 3, 3, 1, 0, 4, 3, 4, 1, 0, 4, 1, 4, 1, 0, 0, 2, 4, 1, 3, 0, 2, 2, 1, 0, 1, 3, 3, 4, 2, 4, 0, 2, 3, 1, 1, 4, 3, 4, 2, 4, 0, 3, 4, 3, 4, 0, 4, 4, 2, 2, 1, 1, 0, 1, 1, 4, 0, 1, 2, 4, 2, 2, 3, 0, 0, 4, 2, 2, 4, 4, 1, 3, 1, 1, 3, 0, 2, 4, 4, 0, 2, 3, 4, 0, 2, 3, 2, 1, 2, 1, 3, 3, 4, 4, 2, 2, 2, 0, 1, 2, 3, 0, 1, 1, 3, 4, 0, 2, 2, 4, 0, 2, 3, 1, 3, 1, 0, 3, 1, 3, 1, 2, 4, 1, 1, 2, 2, 1, 3, 4, 4, 3, 2, 4, 1, 3, 4, 2, 4, 2, 2, 1, 0, 0, 2, 0, 2, 3, 3, 0, 4, 2, 4, 4, 1, 4, 4, 0, 2, 2, 4, 4, 4, 2, 3, 1, 1, 3, 3, 4, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 4, 2, 4, 3, 3, 0, 1, 0, 3, 1, 0, 1, 4, 0, 3, 3, 2, 2, 4, 3, 4, 4, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 4, 0, 4, 3, 1, 2, 3, 2, 2, 1, 1, 1, 3, 0, 1, 3, 2, 2, 0, 4, 0, 1, 2, 3, 1, 3, 2, 4, 4, 1, 0, 1, 0, 4, 0, 2, 4, 4, 4, 3, 2, 4, 4, 3, 1, 1, 4, 0, 1, 3]
pubkeycol1253 = [1, 3, 2, 3, 0, 0, 0, 4, 3, 1, 0, 0, 3, 4, 1, 3, 1, 0, 3, 3, 4, 0, 4, 4, 3, 2, 2, 1, 3, 1, 3, 2, 1, 4, 3, 3, 0, 3, 3, 3, 3, 1, 0, 1, 3, 3, 1, 3, 4, 2, 0, 4, 2, 1, 4, 0, 1, 2, 3, 0, 0, 2, 4, 2, 1, 2, 4, 0, 4, 2, 4, 3, 4, 3, 0, 1, 1, 1, 3, 3, 1, 3, 4, 4, 2, 2, 2, 0, 0, 4, 3, 4, 3, 4, 4, 2, 0, 4, 0, 3, 4, 2, 4, 0, 0, 4, 1, 3, 0, 0, 1, 0, 3, 3, 4, 3, 0, 0, 4, 1, 4, 4, 2, 4, 3, 4, 4, 3, 2, 2, 2, 1, 4, 3, 0, 3, 4, 0, 0, 0, 2, 0, 4, 3, 1, 1, 0, 2, 3, 2, 1, 0, 3, 0, 3, 4, 4, 2, 3, 3, 4, 0, 3, 3, 1, 0, 2, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 4, 0, 3, 3, 3, 3, 3, 2, 2, 0, 0, 3, 4, 4, 2, 4, 1, 2, 1, 1, 2, 0, 3, 2, 4, 0, 3, 2, 2, 1, 0, 0, 0, 1, 3, 0, 0, 0, 0, 4, 4, 3, 1, 3, 3, 3, 2, 0, 2, 1, 4, 0, 1, 1, 0, 0, 1, 2, 3, 0, 3, 4, 2, 4, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 4, 2, 4, 0, 2, 3, 1, 3, 0, 3, 4, 2, 3, 4, 0, 2, 3, 1, 3, 4, 4, 4, 4, 1, 3, 2, 3, 4, 0, 1, 1, 3, 2, 0, 2, 4, 0, 0, 3, 1, 2, 4, 2, 3, 3, 3, 2, 2, 4, 1, 0, 1, 0, 4, 3, 4, 0, 4, 3, 1, 0, 4, 1, 0, 2, 0, 1, 0, 3, 1, 4, 3, 0, 2, 0, 0, 2, 2, 0, 0, 3, 0, 2, 2, 1, 4, 2, 0, 3, 3, 1, 2, 3, 0, 1, 3, 1, 0, 1, 0, 1, 3, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 3, 0, 4, 3, 4, 3, 4, 4, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 4, 3, 4, 2, 1, 4, 0, 0, 3, 4, 0, 2, 0, 2, 4, 0, 3]
pubkeycol1254 = [2, 1, 3, 2, 2, 2, 4, 1, 3, 0, 2, 3, 2, 2, 1, 4, 3, 0, 1, 0, 1, 4, 4, 1, 1, 3, 1, 1, 0, 1, 3, 1, 4, 1, 3, 3, 0, 3, 4, 2, 0, 3, 4, 3, 0, 3, 0, 1, 4, 3, 4, 4, 4, 4, 3, 3, 2, 4, 0, 3, 2, 4, 2, 1, 4, 2, 1, 4, 0, 4, 4, 4, 3, 3, 2, 0, 1, 1, 2, 4, 4, 0, 2, 0, 1, 1, 0, 1, 4, 1, 3, 2, 0, 1, 4, 4, 2, 3, 0, 0, 1, 1, 0, 1, 1, 4, 4, 2, 1, 0, 4, 3, 4, 0, 2, 0, 3, 0, 3, 4, 2, 3, 0, 3, 4, 3, 3, 3, 0, 0, 3, 1, 3, 2, 1, 2, 0, 4, 1, 1, 4, 2, 0, 1, 2, 4, 1, 0, 1, 0, 1, 0, 4, 3, 2, 2, 0, 2, 1, 2, 1, 4, 0, 3, 2, 2, 4, 4, 1, 0, 2, 1, 0, 0, 1, 1, 4, 4, 2, 2, 4, 3, 2, 2, 0, 3, 1, 0, 2, 3, 3, 2, 2, 4, 4, 2, 4, 2, 0, 1, 1, 2, 3, 2, 3, 2, 4, 0, 4, 2, 1, 4, 2, 4, 4, 3, 2, 2, 2, 4, 2, 0, 0, 4, 0, 2, 0, 2, 4, 1, 2, 0, 4, 0, 0, 3, 4, 3, 0, 1, 3, 2, 0, 0, 3, 4, 2, 1, 4, 0, 3, 3, 0, 4, 3, 3, 1, 2, 4, 4, 3, 1, 0, 3, 3, 3, 1, 3, 1, 0, 3, 4, 1, 2, 4, 2, 2, 4, 3, 2, 1, 1, 2, 4, 1, 2, 3, 0, 2, 4, 0, 3, 0, 0, 1, 3, 1, 2, 1, 2, 2, 0, 2, 2, 4, 1, 0, 4, 2, 4, 4, 4, 0, 4, 3, 2, 4, 2, 1, 4, 0, 4, 0, 1, 2, 3, 1, 2, 0, 0, 1, 0, 0, 3, 3, 3, 4, 3, 1, 2, 3, 2, 1, 4, 4, 2, 0, 1, 1, 1, 3, 1, 0, 3, 0, 2, 3, 0, 1, 2, 2, 2, 1, 3, 3, 2, 4, 0, 1, 3, 1, 1, 4, 0, 4, 3, 0, 2, 1, 4, 2, 2, 4, 2, 0, 4, 4, 1, 1, 4, 3, 2, 3, 2, 2, 1, 2, 2, 3, 4]
pubkeycol1255 = [1, 1, 3, 1, 0, 4, 1, 2, 1, 1, 4, 1, 2, 0, 4, 0, 2, 0, 0, 0, 4, 4, 4, 3, 4, 4, 3, 0, 1, 0, 2, 1, 2, 0, 2, 0, 3, 1, 2, 1, 0, 1, 0, 4, 1, 0, 0, 4, 4, 3, 2, 1, 2, 0, 1, 0, 4, 0, 2, 4, 0, 4, 4, 2, 3, 4, 2, 1, 4, 2, 3, 2, 0, 0, 0, 3, 2, 0, 3, 3, 4, 2, 2, 1, 0, 3, 0, 4, 2, 1, 2, 3, 0, 4, 4, 4, 1, 3, 0, 2, 0, 0, 3, 1, 4, 0, 0, 4, 2, 0, 4, 3, 3, 1, 0, 3, 2, 4, 2, 4, 3, 3, 4, 1, 0, 3, 4, 0, 2, 1, 1, 4, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 4, 3, 4, 4, 2, 3, 2, 0, 4, 0, 1, 1, 2, 1, 0, 3, 0, 2, 2, 3, 0, 2, 1, 1, 4, 1, 4, 4, 4, 3, 3, 3, 4, 4, 1, 4, 3, 4, 1, 1, 1, 4, 2, 0, 4, 2, 1, 1, 3, 4, 4, 0, 4, 0, 2, 0, 3, 3, 1, 3, 1, 1, 3, 0, 4, 1, 3, 4, 0, 0, 1, 3, 3, 0, 1, 4, 0, 1, 0, 3, 2, 3, 3, 1, 2, 3, 1, 1, 4, 1, 2, 0, 0, 1, 3, 2, 0, 2, 2, 4, 1, 2, 4, 4, 2, 4, 4, 1, 2, 0, 1, 2, 3, 3, 3, 3, 2, 1, 0, 1, 3, 2, 1, 1, 4, 1, 2, 2, 3, 4, 3, 0, 2, 3, 1, 4, 1, 3, 2, 2, 4, 3, 2, 3, 4, 0, 0, 3, 1, 1, 4, 4, 0, 0, 3, 0, 4, 3, 3, 2, 4, 2, 0, 3, 0, 0, 3, 0, 2, 4, 1, 2, 4, 3, 4, 0, 3, 2, 1, 3, 4, 4, 2, 1, 0, 4, 2, 2, 4, 2, 3, 3, 1, 2, 3, 4, 0, 1, 2, 4, 0, 2, 0, 3, 1, 0, 4, 0, 4, 1, 1, 4, 4, 0, 2, 3, 3, 2, 1, 3, 1, 2, 4, 2, 0, 2, 3, 3, 3, 3, 3, 2, 2, 2, 4, 2, 2, 1, 3, 3, 3, 1, 1, 0, 4, 1, 2, 0, 1, 0, 4, 1, 4, 2, 1, 1, 3, 4]
pubkeycol1256 = [0, 3, 3, 4, 4, 2, 4, 2, 0, 2, 0, 1, 4, 3, 2, 4, 2, 0, 3, 4, 2, 1, 0, 2, 3, 1, 4, 3, 2, 4, 2, 2, 4, 4, 2, 0, 2, 0, 1, 2, 1, 4, 4, 3, 2, 4, 3, 2, 3, 3, 1, 1, 4, 1, 1, 4, 4, 1, 3, 2, 3, 3, 1, 4, 4, 4, 2, 2, 0, 0, 1, 2, 0, 4, 1, 3, 4, 0, 4, 1, 4, 4, 3, 4, 2, 4, 0, 4, 1, 2, 1, 4, 4, 1, 1, 4, 1, 4, 1, 1, 0, 2, 4, 1, 4, 4, 1, 4, 3, 2, 1, 1, 4, 2, 0, 0, 2, 4, 0, 4, 3, 3, 0, 1, 1, 3, 0, 1, 1, 1, 4, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 4, 4, 0, 0, 4, 2, 3, 2, 0, 3, 2, 0, 2, 2, 3, 4, 0, 4, 2, 4, 2, 2, 0, 2, 0, 3, 2, 0, 4, 0, 4, 2, 2, 3, 4, 2, 0, 3, 1, 4, 2, 0, 3, 2, 2, 4, 3, 4, 2, 4, 0, 3, 1, 1, 2, 1, 3, 4, 2, 3, 4, 2, 0, 2, 1, 3, 1, 1, 2, 4, 3, 3, 3, 1, 3, 3, 4, 0, 1, 0, 0, 2, 2, 3, 0, 0, 3, 4, 0, 4, 4, 1, 4, 1, 3, 0, 1, 3, 3, 4, 0, 3, 4, 3, 1, 1, 1, 3, 4, 3, 2, 0, 3, 4, 4, 0, 2, 1, 0, 3, 0, 0, 2, 3, 0, 2, 1, 0, 4, 0, 0, 4, 3, 1, 2, 1, 3, 4, 2, 1, 3, 2, 0, 0, 2, 3, 0, 0, 2, 4, 0, 1, 0, 0, 2, 4, 4, 3, 1, 0, 3, 2, 0, 3, 4, 2, 1, 1, 2, 4, 3, 4, 0, 1, 4, 1, 1, 0, 4, 1, 1, 2, 0, 2, 3, 1, 4, 0, 4, 2, 2, 0, 4, 3, 4, 4, 3, 1, 4, 0, 4, 4, 3, 2, 3, 2, 0, 0, 0, 4, 2, 4, 2, 3, 0, 2, 0, 3, 2, 2, 3, 0, 3, 4, 0, 0, 3, 1, 0, 0, 2, 0, 2, 2, 4, 3, 1, 0, 4, 3, 0, 4, 0, 1, 4, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1]
pubkeycol1257 = [3, 1, 1, 1, 1, 3, 0, 1, 0, 1, 1, 3, 4, 0, 4, 0, 1, 4, 0, 1, 3, 2, 2, 4, 1, 1, 1, 2, 4, 0, 4, 0, 4, 4, 4, 1, 3, 4, 2, 0, 4, 1, 3, 4, 2, 2, 2, 3, 3, 4, 4, 3, 4, 1, 2, 2, 1, 1, 3, 2, 4, 2, 3, 3, 1, 0, 4, 4, 3, 1, 2, 0, 2, 3, 4, 2, 3, 2, 0, 4, 0, 2, 1, 1, 4, 3, 0, 1, 3, 2, 1, 4, 1, 2, 0, 2, 3, 4, 4, 3, 4, 1, 2, 0, 1, 3, 4, 3, 3, 3, 3, 0, 0, 2, 3, 0, 3, 2, 0, 2, 0, 1, 0, 4, 4, 0, 3, 3, 1, 2, 2, 3, 4, 3, 0, 3, 3, 0, 2, 3, 4, 1, 4, 3, 4, 2, 2, 0, 2, 3, 1, 3, 4, 1, 1, 0, 4, 1, 1, 1, 3, 0, 3, 0, 2, 4, 2, 0, 4, 1, 0, 0, 2, 4, 3, 3, 4, 2, 4, 3, 3, 1, 3, 1, 0, 3, 3, 4, 2, 0, 3, 0, 4, 1, 1, 3, 4, 4, 2, 0, 0, 3, 1, 4, 4, 3, 1, 2, 4, 2, 0, 2, 4, 3, 3, 1, 1, 4, 4, 4, 3, 0, 2, 3, 4, 1, 3, 1, 0, 2, 0, 4, 3, 1, 1, 4, 4, 3, 4, 0, 0, 2, 1, 4, 0, 4, 0, 0, 3, 3, 3, 0, 3, 2, 0, 3, 2, 2, 1, 3, 1, 0, 4, 4, 3, 2, 3, 2, 3, 0, 3, 1, 4, 3, 4, 1, 2, 0, 0, 1, 1, 1, 1, 3, 3, 2, 0, 3, 2, 1, 1, 3, 2, 3, 0, 4, 0, 2, 4, 2, 3, 3, 2, 3, 2, 4, 4, 4, 2, 0, 2, 4, 3, 2, 3, 3, 4, 3, 3, 1, 4, 1, 2, 0, 2, 0, 2, 2, 4, 0, 4, 4, 3, 0, 0, 3, 4, 4, 1, 3, 0, 3, 2, 4, 4, 3, 1, 3, 2, 1, 3, 3, 1, 4, 4, 4, 3, 4, 0, 3, 4, 0, 0, 1, 3, 0, 1, 4, 2, 3, 1, 0, 2, 2, 4, 3, 3, 3, 1, 1, 2, 3, 4, 0, 1, 0, 2, 4, 2, 2, 1, 4, 1, 3, 4, 4, 0, 4, 0, 1]
pubkeycol1258 = [4, 4, 2, 2, 4, 2, 0, 3, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 3, 4, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 4, 0, 1, 0, 3, 2, 1, 4, 4, 2, 4, 1, 0, 1, 4, 0, 1, 3, 4, 1, 4, 2, 4, 1, 2, 4, 2, 4, 2, 3, 4, 1, 2, 2, 1, 3, 4, 3, 3, 2, 4, 1, 1, 0, 3, 0, 4, 1, 3, 2, 1, 2, 3, 1, 3, 0, 4, 1, 1, 4, 1, 1, 0, 3, 4, 0, 3, 1, 1, 2, 2, 4, 1, 2, 2, 3, 2, 3, 3, 2, 4, 4, 1, 3, 1, 1, 3, 2, 0, 2, 3, 4, 4, 3, 0, 1, 3, 4, 4, 2, 0, 2, 1, 2, 1, 3, 1, 2, 0, 0, 2, 2, 0, 3, 4, 2, 4, 4, 3, 0, 2, 0, 3, 2, 2, 1, 0, 4, 1, 4, 2, 1, 2, 0, 0, 0, 4, 2, 4, 3, 0, 0, 4, 0, 0, 1, 0, 2, 4, 4, 3, 4, 0, 3, 1, 0, 0, 3, 3, 1, 2, 0, 1, 0, 3, 0, 3, 3, 3, 2, 1, 3, 3, 2, 2, 2, 4, 0, 4, 1, 2, 4, 0, 4, 0, 1, 3, 3, 0, 3, 1, 3, 3, 3, 3, 3, 2, 0, 2, 2, 2, 4, 0, 4, 2, 4, 2, 4, 3, 2, 3, 3, 1, 4, 4, 1, 2, 4, 1, 3, 0, 2, 0, 3, 0, 3, 0, 0, 2, 3, 3, 3, 1, 1, 4, 1, 1, 2, 3, 4, 0, 0, 2, 1, 3, 0, 0, 3, 2, 0, 3, 1, 2, 1, 3, 3, 0, 4, 3, 2, 4, 3, 4, 3, 0, 3, 4, 4, 4, 2, 2, 0, 2, 3, 2, 4, 4, 1, 4, 2, 0, 1, 0, 0, 2, 4, 3, 1, 2, 4, 1, 1, 2, 4, 1, 3, 1, 0, 1, 3, 3, 3, 2, 0, 4, 0, 4, 4, 1, 1, 1, 3, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 4, 0, 3, 2, 1, 1, 2, 3, 3, 1, 0, 1, 4, 2, 2, 0, 2, 4, 2, 3, 4, 0, 1, 3, 3, 2, 1, 2, 0, 1, 0, 1, 0, 4, 1, 4, 1, 1, 3, 0, 1, 4, 0, 3, 2, 1, 3]
pubkeycol1259 = [2, 0, 3, 1, 4, 3, 3, 0, 1, 1, 2, 0, 4, 2, 0, 3, 2, 0, 4, 4, 0, 3, 3, 0, 3, 2, 2, 0, 0, 0, 0, 2, 4, 1, 1, 2, 2, 3, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 3, 0, 4, 4, 3, 4, 4, 2, 1, 4, 4, 1, 3, 4, 4, 3, 1, 2, 3, 3, 2, 4, 0, 2, 2, 2, 2, 0, 3, 2, 1, 0, 4, 4, 2, 3, 4, 2, 4, 3, 1, 2, 4, 3, 3, 3, 1, 4, 1, 1, 1, 4, 0, 0, 0, 4, 4, 2, 3, 0, 0, 2, 0, 3, 3, 4, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 0, 4, 1, 4, 1, 2, 1, 3, 3, 3, 1, 3, 3, 3, 1, 4, 0, 2, 0, 3, 0, 1, 4, 3, 1, 0, 3, 4, 3, 1, 3, 4, 0, 0, 3, 0, 0, 3, 3, 0, 4, 1, 3, 2, 1, 3, 4, 3, 4, 1, 2, 3, 3, 2, 4, 0, 2, 4, 1, 1, 0, 1, 4, 2, 1, 0, 4, 4, 3, 2, 1, 0, 3, 1, 3, 4, 4, 4, 1, 0, 2, 2, 3, 2, 1, 3, 3, 1, 3, 3, 3, 0, 2, 4, 1, 2, 0, 3, 2, 1, 2, 1, 4, 0, 1, 2, 2, 0, 0, 0, 1, 3, 2, 3, 4, 3, 4, 1, 1, 4, 0, 0, 0, 1, 4, 2, 3, 3, 1, 4, 4, 2, 3, 1, 2, 0, 0, 1, 4, 4, 0, 4, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 3, 3, 4, 1, 1, 0, 1, 1, 2, 0, 3, 3, 4, 0, 1, 1, 1, 3, 0, 0, 4, 2, 1, 2, 3, 1, 3, 3, 1, 2, 2, 1, 2, 3, 2, 4, 4, 0, 0, 0, 3, 2, 0, 2, 1, 0, 0, 3, 0, 1, 1, 3, 2, 0, 2, 0, 4, 4, 1, 1, 0, 1, 4, 1, 2, 4, 3, 1, 4, 4, 0, 2, 3, 2, 1, 0, 2, 3, 3, 1, 3, 3, 2, 1, 2, 1, 4, 1, 1, 0, 1, 3, 2, 1, 3, 1, 0, 3, 3, 1, 4, 1, 3, 4, 0, 3, 4, 2, 2, 2, 4, 4, 0, 4, 1, 4, 2, 2, 2, 0, 0, 2]
pubkeycol1260 = [3, 0, 3, 0, 0, 4, 3, 1, 4, 0, 0, 1, 4, 3, 2, 2, 4, 2, 1, 0, 0, 0, 1, 0, 0, 1, 3, 4, 2, 3, 2, 1, 0, 1, 2, 3, 4, 4, 3, 0, 1, 2, 4, 4, 4, 0, 2, 2, 0, 1, 2, 2, 4, 4, 2, 3, 1, 1, 3, 3, 3, 1, 2, 2, 3, 0, 2, 2, 3, 0, 1, 3, 2, 1, 0, 4, 1, 0, 2, 1, 0, 0, 4, 3, 0, 2, 3, 3, 2, 1, 2, 3, 4, 2, 2, 3, 2, 0, 4, 1, 1, 2, 4, 4, 1, 0, 0, 2, 0, 3, 3, 0, 1, 3, 1, 0, 3, 4, 4, 2, 2, 3, 3, 3, 0, 2, 0, 0, 0, 4, 2, 4, 0, 4, 3, 3, 0, 1, 3, 3, 2, 1, 0, 2, 2, 1, 0, 0, 3, 3, 4, 4, 0, 4, 1, 3, 3, 3, 3, 4, 3, 1, 3, 0, 0, 3, 3, 3, 1, 1, 1, 0, 3, 1, 2, 2, 4, 0, 0, 4, 3, 4, 1, 4, 2, 3, 1, 3, 4, 4, 4, 3, 1, 2, 4, 1, 4, 4, 4, 3, 4, 0, 1, 0, 1, 2, 4, 2, 3, 2, 4, 0, 2, 4, 0, 3, 0, 0, 2, 3, 4, 1, 3, 3, 2, 2, 0, 0, 0, 1, 3, 0, 0, 3, 3, 0, 0, 1, 3, 1, 4, 3, 0, 3, 2, 0, 0, 1, 1, 1, 3, 2, 2, 2, 0, 1, 2, 4, 2, 2, 0, 1, 0, 1, 1, 0, 4, 2, 1, 3, 3, 3, 2, 4, 4, 3, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 3, 2, 4, 1, 2, 1, 3, 1, 3, 2, 1, 4, 2, 0, 0, 2, 4, 4, 3, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 3, 0, 1, 3, 4, 3, 3, 0, 3, 0, 1, 3, 4, 0, 1, 0, 1, 3, 1, 0, 0, 4, 4, 0, 4, 1, 2, 4, 0, 3, 4, 3, 1, 4, 4, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 2, 2, 3, 1, 3, 0, 4, 3, 2, 3, 0, 3, 3, 1, 1, 4, 1, 3, 1, 4, 4, 0, 4, 2, 4, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0]
pubkeycol1261 = [2, 0, 4, 3, 4, 3, 3, 2, 2, 1, 1, 1, 4, 0, 3, 1, 4, 2, 1, 4, 4, 3, 4, 3, 3, 3, 1, 2, 0, 0, 3, 0, 3, 2, 1, 3, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 4, 2, 3, 4, 3, 4, 0, 2, 3, 2, 0, 0, 3, 1, 1, 3, 3, 0, 2, 0, 4, 4, 3, 1, 0, 2, 1, 0, 1, 4, 4, 1, 3, 0, 1, 4, 0, 0, 1, 3, 3, 3, 0, 1, 2, 0, 3, 3, 0, 4, 2, 2, 0, 2, 1, 2, 3, 4, 4, 2, 2, 2, 1, 0, 1, 2, 0, 4, 1, 1, 4, 4, 1, 0, 3, 2, 0, 2, 2, 0, 1, 2, 3, 1, 4, 2, 1, 3, 3, 4, 0, 3, 2, 2, 2, 3, 1, 1, 2, 0, 0, 1, 4, 2, 4, 3, 4, 0, 3, 1, 0, 0, 1, 0, 3, 3, 4, 3, 4, 2, 3, 2, 3, 2, 2, 0, 4, 4, 3, 3, 4, 0, 0, 1, 2, 2, 1, 3, 1, 1, 4, 4, 3, 2, 2, 4, 4, 3, 2, 2, 2, 0, 0, 1, 2, 4, 1, 4, 2, 1, 0, 3, 2, 4, 2, 0, 2, 1, 1, 2, 1, 2, 3, 1, 0, 0, 3, 0, 1, 1, 4, 3, 1, 1, 4, 1, 2, 2, 2, 0, 2, 1, 4, 3, 2, 1, 0, 2, 2, 3, 3, 1, 1, 1, 3, 4, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 4, 2, 1, 2, 4, 1, 4, 2, 2, 2, 4, 4, 3, 0, 2, 3, 2, 3, 4, 1, 2, 3, 0, 2, 3, 2, 0, 3, 2, 3, 4, 0, 3, 3, 4, 2, 3, 3, 1, 1, 4, 2, 3, 0, 0, 3, 1, 3, 0, 4, 1, 0, 3, 2, 3, 0, 1, 0, 2, 4, 3, 3, 3, 4, 3, 4, 3, 4, 2, 2, 1, 1, 4, 2, 4, 2, 0, 2, 1, 2, 4, 3, 3, 4, 4, 0, 2, 4, 4, 4, 1, 0, 4, 2, 1, 3, 1, 1, 2, 4, 4, 3, 1, 4, 4, 1, 3, 2, 2, 2, 1, 3, 4, 0, 2, 0, 1, 0, 4, 3, 2, 2, 0, 2, 1, 3, 4, 2, 1, 4, 1, 2, 4, 2, 4]
pubkeycol1262 = [1, 3, 0, 2, 4, 3, 4, 4, 0, 4, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 4, 4, 2, 4, 1, 2, 0, 2, 1, 4, 3, 1, 1, 4, 0, 4, 3, 4, 2, 4, 2, 3, 4, 2, 3, 0, 4, 3, 0, 0, 4, 2, 4, 2, 4, 4, 1, 4, 0, 2, 4, 4, 0, 2, 3, 0, 2, 1, 3, 1, 0, 3, 1, 4, 4, 3, 4, 0, 1, 2, 2, 0, 4, 3, 2, 0, 1, 3, 0, 4, 3, 4, 4, 0, 4, 2, 3, 0, 4, 1, 0, 4, 4, 0, 0, 2, 3, 1, 4, 2, 2, 4, 2, 4, 3, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 4, 4, 3, 1, 0, 3, 4, 1, 1, 3, 2, 2, 3, 1, 0, 3, 3, 2, 1, 4, 4, 3, 4, 0, 3, 3, 4, 4, 1, 2, 1, 1, 0, 0, 0, 4, 2, 3, 4, 4, 2, 2, 0, 4, 2, 0, 2, 1, 4, 1, 4, 2, 1, 3, 4, 4, 2, 3, 3, 0, 1, 4, 1, 1, 4, 2, 3, 0, 0, 0, 1, 4, 1, 2, 2, 3, 0, 3, 3, 1, 2, 4, 3, 2, 0, 0, 1, 0, 3, 0, 2, 2, 0, 0, 2, 3, 3, 2, 1, 0, 1, 3, 4, 2, 4, 1, 0, 1, 4, 4, 1, 2, 4, 4, 4, 3, 1, 3, 2, 0, 1, 0, 1, 3, 1, 2, 3, 3, 0, 0, 4, 1, 4, 1, 0, 0, 0, 3, 4, 1, 4, 0, 4, 2, 1, 1, 1, 2, 0, 1, 0, 2, 4, 3, 3, 1, 2, 4, 4, 4, 2, 1, 4, 1, 3, 3, 1, 0, 4, 4, 4, 3, 2, 3, 2, 4, 0, 0, 3, 4, 1, 1, 0, 2, 3, 4, 0, 4, 3, 0, 4, 3, 3, 1, 4, 3, 2, 1, 3, 3, 0, 1, 0, 4, 0, 0, 1, 1, 2, 0, 0, 1, 3, 0, 2, 0, 3, 3, 4, 2, 3, 4, 1, 3, 1, 1, 2, 4, 1, 0, 0, 0, 4, 2, 2, 4, 3, 3, 3, 3, 1, 4, 3, 4, 1, 4, 2, 4, 4, 1, 4, 0, 4, 4, 1, 1, 4, 3, 0, 4, 4, 4, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 3]
pubkeycol1263 = [2, 2, 4, 3, 4, 3, 4, 1, 0, 3, 1, 2, 1, 1, 3, 1, 1, 2, 4, 2, 3, 0, 0, 3, 1, 0, 4, 0, 2, 3, 1, 2, 0, 3, 1, 3, 0, 1, 4, 4, 1, 2, 2, 3, 4, 4, 0, 1, 4, 0, 3, 0, 1, 2, 2, 0, 3, 1, 0, 1, 2, 0, 2, 0, 1, 0, 3, 3, 0, 0, 1, 0, 3, 4, 2, 1, 0, 4, 3, 0, 3, 1, 0, 1, 1, 4, 1, 0, 2, 1, 3, 3, 2, 2, 4, 4, 3, 1, 0, 0, 1, 2, 3, 4, 3, 3, 2, 2, 4, 4, 3, 2, 1, 0, 4, 2, 2, 1, 4, 1, 0, 0, 0, 0, 4, 1, 2, 1, 2, 0, 4, 3, 4, 2, 0, 3, 2, 1, 3, 3, 3, 1, 3, 1, 2, 0, 1, 4, 1, 4, 1, 4, 1, 4, 1, 1, 4, 3, 3, 1, 2, 3, 1, 2, 0, 1, 3, 1, 1, 2, 1, 1, 0, 0, 2, 4, 1, 2, 2, 2, 4, 0, 1, 3, 4, 2, 1, 0, 2, 3, 1, 3, 0, 4, 0, 0, 0, 1, 0, 4, 3, 4, 4, 2, 1, 2, 1, 2, 4, 2, 3, 2, 1, 0, 4, 2, 0, 2, 2, 4, 4, 1, 4, 2, 2, 1, 1, 4, 1, 3, 2, 0, 4, 3, 0, 3, 0, 1, 0, 0, 1, 1, 1, 0, 4, 2, 3, 2, 1, 2, 0, 4, 2, 1, 2, 4, 2, 1, 0, 4, 0, 1, 4, 1, 2, 4, 1, 2, 2, 4, 1, 3, 1, 2, 2, 0, 0, 2, 1, 4, 4, 1, 1, 0, 4, 2, 4, 1, 1, 4, 0, 0, 3, 3, 2, 0, 0, 2, 3, 1, 4, 4, 4, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 4, 0, 0, 0, 3, 4, 3, 4, 3, 4, 1, 4, 1, 2, 2, 0, 4, 2, 4, 2, 4, 2, 4, 3, 0, 1, 2, 4, 0, 0, 3, 0, 3, 3, 3, 4, 4, 2, 2, 4, 2, 1, 3, 0, 4, 0, 2, 0, 4, 0, 4, 4, 0, 2, 4, 3, 0, 2, 0, 3, 4, 2, 2, 1, 3, 4, 1, 3, 0, 4, 0, 2, 0, 1, 1, 0, 3, 4, 2, 2, 2, 1]
pubkeycol1264 = [2, 3, 0, 2, 4, 0, 0, 3, 4, 0, 0, 0, 3, 4, 0, 2, 4, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 3, 2, 3, 3, 1, 1, 2, 0, 3, 3, 0, 1, 3, 3, 4, 0, 0, 3, 2, 1, 4, 0, 2, 3, 3, 0, 2, 2, 2, 4, 2, 2, 3, 0, 3, 4, 0, 3, 4, 1, 2, 4, 2, 1, 1, 4, 0, 0, 2, 0, 2, 0, 1, 1, 3, 0, 1, 2, 0, 1, 3, 3, 1, 1, 1, 1, 3, 1, 0, 1, 3, 2, 2, 4, 2, 0, 1, 0, 1, 1, 1, 3, 1, 2, 4, 1, 1, 0, 4, 2, 0, 2, 1, 3, 1, 4, 0, 4, 4, 4, 3, 3, 1, 1, 1, 2, 0, 4, 2, 1, 2, 0, 2, 2, 4, 0, 3, 0, 0, 4, 2, 4, 1, 1, 2, 2, 2, 2, 3, 4, 2, 2, 0, 0, 2, 2, 3, 1, 2, 2, 2, 3, 1, 3, 1, 1, 0, 0, 0, 2, 0, 0, 2, 3, 4, 2, 4, 1, 0, 3, 0, 0, 1, 3, 4, 3, 3, 2, 1, 4, 0, 0, 4, 1, 2, 3, 4, 4, 0, 1, 4, 4, 4, 1, 4, 1, 3, 3, 0, 3, 0, 2, 1, 3, 1, 3, 0, 4, 1, 0, 2, 4, 3, 1, 4, 1, 3, 4, 1, 2, 3, 1, 3, 4, 2, 4, 2, 4, 3, 0, 3, 0, 4, 2, 2, 1, 2, 0, 3, 4, 0, 4, 1, 3, 0, 0, 4, 0, 2, 2, 4, 2, 2, 2, 0, 2, 1, 1, 3, 3, 3, 1, 2, 3, 2, 1, 0, 0, 4, 2, 1, 2, 3, 1, 0, 3, 1, 1, 4, 4, 1, 0, 0, 0, 0, 2, 0, 1, 3, 1, 2, 0, 2, 2, 3, 4, 4, 2, 1, 2, 1, 1, 3, 2, 1, 3, 2, 0, 0, 2, 2, 3, 3, 2, 1, 0, 1, 4, 4, 3, 3, 2, 3, 1, 4, 4, 2, 0, 2, 0, 2, 0, 3, 0, 0, 1, 2, 4, 3, 4, 0, 0, 2, 3, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 3, 2, 2, 4, 1, 3, 0, 2, 2, 4, 3, 1, 4, 2, 4, 3, 4, 1, 3, 1, 0, 1, 1, 3]
pubkeycol1265 = [3, 1, 2, 0, 1, 2, 0, 3, 4, 2, 2, 2, 0, 0, 4, 1, 1, 2, 4, 1, 3, 0, 4, 1, 2, 1, 3, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 3, 0, 2, 3, 4, 3, 3, 0, 0, 3, 1, 2, 2, 3, 1, 2, 0, 4, 0, 3, 2, 1, 0, 3, 3, 2, 2, 4, 4, 0, 2, 0, 4, 4, 0, 1, 4, 3, 1, 4, 4, 3, 4, 4, 2, 3, 2, 0, 3, 1, 3, 2, 1, 0, 1, 2, 3, 1, 1, 2, 4, 3, 3, 2, 2, 4, 4, 4, 4, 3, 3, 0, 2, 0, 4, 4, 3, 2, 4, 1, 2, 4, 2, 1, 0, 3, 0, 2, 0, 4, 1, 0, 2, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 0, 1, 2, 4, 4, 1, 0, 3, 2, 1, 1, 2, 1, 1, 0, 3, 0, 2, 4, 1, 1, 3, 3, 1, 0, 2, 4, 1, 2, 0, 3, 3, 1, 4, 0, 3, 1, 4, 3, 3, 4, 4, 2, 0, 3, 4, 1, 1, 0, 2, 1, 4, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 3, 3, 2, 0, 2, 3, 0, 4, 0, 0, 3, 1, 4, 1, 3, 3, 0, 0, 2, 0, 2, 4, 2, 4, 1, 0, 2, 1, 2, 1, 4, 2, 2, 0, 0, 0, 1, 4, 3, 4, 3, 4, 4, 0, 2, 4, 1, 3, 4, 0, 2, 3, 3, 2, 3, 0, 0, 4, 2, 4, 2, 0, 0, 4, 2, 4, 2, 2, 4, 2, 4, 1, 2, 3, 1, 3, 4, 1, 0, 4, 3, 4, 4, 1, 0, 4, 4, 4, 2, 1, 1, 3, 2, 3, 3, 0, 4, 2, 2, 0, 0, 3, 4, 0, 0, 2, 4, 0, 0, 4, 3, 0, 3, 2, 3, 4, 2, 0, 4, 2, 1, 4, 4, 0, 2, 2, 1, 4, 1, 4, 0, 2, 2, 0, 3, 2, 0, 4, 4, 2, 4, 3, 3, 4, 3, 2, 0, 4, 0, 0, 2, 2, 3, 0, 3, 4, 4, 2, 2, 0, 1, 2, 0, 4, 2, 4, 2, 1, 0, 4, 2, 2, 2, 0, 0, 4, 3, 4, 0, 1, 2, 4, 4, 0, 1, 3, 3, 4, 3, 4, 3, 3, 2, 2, 4, 1]
pubkeycol1266 = [1, 4, 2, 4, 3, 3, 3, 1, 4, 1, 1, 1, 1, 4, 2, 4, 0, 4, 3, 0, 3, 3, 0, 1, 4, 2, 4, 2, 4, 3, 1, 1, 2, 1, 1, 2, 3, 2, 1, 3, 1, 3, 1, 1, 4, 4, 0, 3, 0, 0, 4, 4, 4, 4, 0, 3, 1, 2, 3, 2, 0, 2, 1, 2, 2, 2, 4, 3, 4, 2, 4, 1, 0, 3, 0, 3, 2, 0, 4, 3, 1, 4, 4, 0, 2, 3, 0, 4, 3, 4, 1, 4, 1, 1, 4, 2, 3, 2, 4, 3, 0, 4, 1, 2, 2, 4, 2, 1, 3, 1, 0, 1, 3, 3, 1, 2, 2, 1, 4, 1, 1, 1, 1, 2, 4, 3, 0, 2, 2, 2, 4, 3, 0, 3, 2, 4, 2, 1, 2, 2, 1, 1, 3, 0, 2, 3, 2, 1, 3, 1, 0, 0, 4, 0, 0, 3, 1, 0, 1, 1, 4, 2, 1, 4, 0, 3, 0, 1, 2, 2, 4, 4, 3, 1, 2, 2, 0, 3, 1, 0, 2, 3, 0, 3, 0, 2, 0, 4, 0, 1, 1, 1, 1, 3, 1, 1, 0, 4, 1, 2, 3, 2, 4, 2, 0, 1, 3, 4, 0, 4, 4, 4, 4, 0, 2, 2, 2, 1, 0, 3, 4, 3, 3, 1, 0, 2, 2, 3, 0, 3, 3, 4, 2, 4, 2, 4, 4, 2, 4, 1, 4, 1, 3, 0, 0, 4, 1, 4, 4, 4, 2, 0, 0, 4, 2, 2, 3, 4, 0, 1, 0, 0, 3, 2, 4, 3, 2, 3, 0, 2, 4, 3, 0, 1, 3, 0, 0, 4, 3, 1, 4, 1, 1, 4, 0, 2, 4, 4, 3, 3, 2, 0, 0, 2, 2, 2, 2, 3, 3, 0, 4, 1, 3, 0, 0, 0, 0, 1, 3, 1, 4, 2, 2, 1, 3, 0, 3, 1, 4, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 4, 1, 2, 3, 1, 0, 3, 1, 2, 3, 4, 3, 3, 3, 2, 3, 3, 1, 0, 1, 0, 4, 4, 2, 3, 4, 2, 0, 3, 0, 1, 3, 0, 0, 2, 0, 1, 4, 4, 3, 4, 1, 0, 3, 0, 3, 3, 1, 0, 3, 3, 0, 3, 2, 4, 4, 3, 2, 1, 2, 2, 1, 0, 2, 3, 4, 0, 3, 0]
pubkeycol1267 = [2, 1, 0, 1, 2, 4, 3, 1, 0, 2, 1, 2, 0, 0, 0, 4, 1, 1, 0, 4, 2, 4, 2, 0, 0, 2, 2, 4, 1, 4, 2, 3, 3, 3, 0, 1, 1, 2, 3, 4, 1, 3, 4, 1, 0, 4, 2, 0, 3, 0, 2, 3, 1, 3, 4, 0, 0, 4, 3, 1, 1, 1, 3, 3, 0, 0, 0, 4, 3, 3, 1, 4, 0, 3, 1, 0, 0, 3, 4, 2, 4, 1, 1, 3, 0, 0, 0, 4, 0, 3, 0, 4, 4, 3, 3, 0, 4, 4, 4, 3, 4, 0, 4, 1, 4, 0, 4, 2, 1, 3, 0, 4, 3, 4, 2, 4, 3, 3, 0, 1, 4, 0, 4, 1, 3, 0, 2, 0, 2, 1, 4, 3, 1, 4, 1, 3, 2, 4, 2, 3, 1, 4, 1, 4, 1, 3, 4, 1, 1, 3, 3, 0, 3, 2, 1, 1, 0, 2, 4, 4, 2, 0, 3, 4, 1, 3, 3, 4, 4, 1, 1, 4, 1, 3, 1, 2, 3, 0, 3, 2, 2, 0, 4, 3, 0, 4, 2, 0, 4, 1, 1, 1, 4, 0, 0, 2, 2, 2, 4, 0, 2, 4, 4, 1, 1, 3, 4, 3, 2, 4, 0, 0, 3, 2, 0, 4, 2, 4, 1, 2, 0, 2, 4, 3, 1, 1, 4, 2, 2, 1, 1, 1, 0, 0, 3, 3, 4, 0, 2, 2, 1, 4, 1, 3, 1, 0, 2, 4, 2, 0, 0, 1, 1, 4, 4, 2, 2, 2, 3, 0, 2, 3, 3, 2, 3, 1, 0, 4, 4, 1, 1, 1, 3, 2, 2, 4, 0, 1, 2, 1, 4, 3, 4, 4, 1, 1, 2, 3, 1, 2, 3, 4, 2, 1, 1, 4, 1, 2, 2, 2, 3, 1, 4, 3, 3, 1, 1, 4, 4, 3, 2, 1, 3, 3, 3, 2, 4, 3, 0, 1, 0, 3, 3, 2, 4, 2, 0, 3, 3, 0, 1, 2, 1, 4, 2, 4, 3, 2, 1, 0, 2, 4, 2, 3, 2, 4, 1, 1, 2, 0, 3, 1, 1, 1, 4, 1, 0, 4, 2, 0, 2, 0, 2, 4, 3, 0, 2, 3, 1, 4, 1, 4, 0, 3, 3, 2, 3, 0, 4, 1, 4, 3, 3, 2, 3, 4, 0, 1, 1, 3, 0, 3, 4, 3, 3, 0, 1, 0, 2, 2]
pubkeycol1268 = [4, 0, 2, 0, 2, 3, 2, 2, 4, 2, 3, 4, 2, 2, 0, 2, 3, 0, 0, 4, 0, 3, 3, 4, 3, 1, 3, 2, 4, 2, 4, 2, 1, 3, 2, 3, 1, 3, 0, 3, 1, 1, 2, 1, 1, 2, 3, 1, 3, 4, 3, 1, 1, 4, 1, 0, 0, 2, 1, 1, 0, 3, 2, 1, 3, 4, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 4, 1, 0, 0, 2, 0, 1, 3, 3, 3, 3, 4, 3, 4, 1, 2, 2, 4, 4, 4, 3, 1, 1, 0, 1, 4, 0, 3, 2, 0, 3, 2, 3, 4, 4, 0, 0, 4, 4, 3, 4, 2, 3, 4, 3, 4, 4, 3, 0, 1, 4, 4, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 3, 0, 2, 2, 0, 0, 0, 4, 3, 0, 4, 4, 3, 0, 3, 2, 4, 0, 4, 1, 3, 0, 1, 0, 2, 2, 4, 3, 2, 3, 4, 1, 2, 4, 4, 2, 0, 2, 3, 3, 4, 1, 4, 1, 4, 0, 1, 1, 4, 4, 2, 3, 2, 0, 4, 0, 2, 4, 1, 3, 2, 0, 3, 0, 1, 1, 1, 2, 3, 1, 0, 4, 3, 2, 4, 0, 0, 2, 4, 3, 4, 0, 3, 3, 2, 2, 0, 0, 4, 1, 2, 0, 2, 0, 0, 0, 4, 2, 1, 2, 4, 2, 4, 1, 1, 4, 3, 0, 3, 2, 4, 1, 4, 2, 2, 0, 0, 1, 0, 1, 1, 0, 3, 2, 4, 0, 2, 3, 0, 4, 0, 3, 1, 1, 3, 0, 3, 0, 0, 1, 0, 3, 4, 3, 4, 3, 1, 2, 3, 4, 1, 2, 4, 2, 4, 0, 1, 1, 2, 0, 2, 2, 4, 4, 4, 0, 4, 0, 0, 2, 1, 4, 0, 0, 0, 4, 1, 2, 1, 3, 0, 1, 2, 0, 3, 0, 0, 3, 0, 3, 1, 4, 0, 3, 0, 3, 0, 4, 2, 0, 2, 2, 4, 3, 4, 4, 2, 1, 1, 3, 2, 2, 2, 0, 1, 2, 4, 1, 2, 3, 2, 4, 1, 0, 3, 4, 1, 0, 1, 1, 2, 4, 3, 3, 0, 1, 0, 3, 1, 2, 0, 1, 4, 0, 0, 0, 2, 2, 3, 1, 4, 2, 1, 3, 3, 0, 3, 0, 2, 1]
pubkeycol1269 = [2, 4, 1, 0, 2, 2, 1, 0, 0, 4, 4, 2, 0, 3, 1, 0, 3, 1, 4, 1, 4, 1, 1, 4, 1, 3, 2, 2, 3, 1, 2, 3, 1, 4, 2, 1, 3, 4, 4, 0, 0, 2, 2, 3, 2, 1, 3, 0, 0, 4, 1, 2, 4, 2, 2, 1, 3, 1, 3, 0, 4, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 3, 0, 0, 0, 1, 2, 0, 1, 2, 3, 0, 2, 0, 0, 3, 4, 2, 3, 1, 0, 3, 4, 2, 0, 4, 2, 4, 0, 2, 1, 2, 3, 0, 0, 1, 0, 3, 1, 3, 1, 1, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 4, 1, 0, 2, 0, 1, 3, 0, 3, 0, 0, 1, 3, 4, 0, 2, 2, 0, 2, 0, 3, 1, 0, 1, 1, 1, 2, 3, 1, 2, 0, 0, 1, 0, 4, 1, 3, 1, 3, 2, 3, 4, 2, 3, 4, 2, 2, 0, 4, 1, 3, 4, 2, 3, 1, 2, 4, 4, 1, 3, 3, 3, 2, 3, 2, 4, 0, 2, 0, 1, 3, 4, 0, 0, 3, 4, 0, 0, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 4, 3, 0, 2, 0, 2, 4, 4, 2, 4, 2, 0, 3, 2, 1, 2, 4, 2, 4, 0, 0, 4, 0, 2, 2, 1, 1, 1, 0, 1, 4, 0, 1, 2, 4, 1, 3, 2, 2, 4, 3, 0, 0, 4, 4, 0, 3, 1, 0, 0, 2, 1, 3, 4, 0, 4, 4, 0, 0, 0, 3, 4, 4, 3, 4, 2, 1, 3, 1, 1, 3, 0, 3, 1, 4, 3, 2, 4, 1, 3, 4, 1, 3, 4, 3, 2, 0, 4, 4, 4, 2, 0, 2, 1, 0, 3, 4, 4, 4, 0, 2, 0, 2, 1, 0, 3, 4, 4, 4, 0, 4, 4, 2, 4, 3, 4, 2, 4, 3, 3, 3, 3, 4, 0, 4, 1, 1, 0, 2, 0, 3, 0, 0, 3, 1, 4, 4, 1, 2, 4, 3, 2, 0, 1, 1, 0, 1, 0, 3, 4, 2, 0, 2, 0, 3, 0, 2, 1, 3, 4, 2, 2, 2, 0, 2, 0, 1, 3, 3, 2, 1, 1, 4, 1, 2, 4, 3, 2, 4, 0, 2, 4, 2, 1, 2, 0, 3, 0, 1]
pubkeycol1270 = [1, 1, 2, 2, 2, 2, 1, 2, 0, 4, 4, 3, 2, 1, 2, 1, 1, 1, 0, 4, 1, 1, 1, 1, 2, 3, 0, 4, 2, 0, 1, 2, 4, 1, 4, 1, 0, 2, 4, 3, 3, 1, 2, 4, 2, 0, 2, 3, 1, 4, 0, 1, 2, 1, 3, 4, 3, 1, 0, 0, 4, 2, 0, 4, 1, 0, 2, 3, 4, 1, 3, 1, 3, 1, 3, 1, 1, 2, 0, 1, 0, 1, 1, 1, 4, 4, 0, 4, 1, 0, 2, 3, 2, 0, 3, 4, 3, 2, 0, 3, 1, 0, 2, 0, 4, 3, 0, 4, 1, 3, 3, 2, 4, 1, 1, 4, 3, 0, 0, 2, 4, 1, 4, 2, 4, 4, 0, 1, 0, 4, 1, 0, 2, 4, 3, 0, 4, 4, 3, 3, 3, 3, 3, 4, 1, 4, 4, 4, 1, 0, 2, 1, 4, 4, 2, 2, 2, 1, 2, 3, 4, 1, 1, 4, 4, 1, 2, 0, 4, 1, 0, 4, 2, 3, 2, 0, 3, 2, 3, 4, 1, 2, 3, 3, 3, 4, 4, 4, 3, 4, 2, 3, 2, 2, 1, 2, 1, 3, 3, 2, 3, 3, 2, 3, 1, 2, 3, 3, 4, 0, 1, 2, 1, 0, 1, 3, 2, 4, 4, 2, 0, 2, 4, 4, 0, 2, 1, 0, 0, 0, 2, 4, 0, 2, 2, 4, 3, 1, 0, 4, 3, 2, 0, 0, 4, 3, 2, 2, 0, 2, 3, 1, 1, 2, 2, 0, 3, 1, 1, 4, 4, 2, 1, 0, 1, 1, 2, 2, 3, 1, 3, 3, 4, 4, 3, 1, 4, 1, 3, 0, 2, 1, 0, 2, 3, 1, 2, 2, 4, 2, 3, 0, 3, 2, 1, 0, 3, 2, 2, 3, 3, 1, 3, 1, 4, 4, 2, 0, 2, 4, 3, 4, 2, 3, 1, 2, 0, 0, 3, 4, 0, 0, 0, 0, 2, 3, 0, 3, 1, 3, 4, 1, 4, 0, 1, 1, 3, 3, 0, 2, 0, 0, 1, 2, 0, 3, 4, 3, 3, 3, 1, 0, 1, 4, 2, 1, 3, 0, 4, 3, 3, 2, 3, 3, 3, 3, 2, 4, 1, 4, 3, 1, 3, 2, 0, 0, 1, 4, 1, 0, 3, 1, 0, 4, 4, 0, 2, 2, 4, 1, 2, 3, 0, 0, 1, 3, 1, 1, 4, 2]
pubkeycol1271 = [3, 3, 3, 4, 2, 1, 2, 0, 2, 0, 4, 2, 3, 2, 3, 3, 4, 3, 1, 2, 4, 0, 1, 3, 0, 1, 3, 4, 4, 2, 0, 4, 1, 1, 2, 4, 4, 4, 3, 2, 0, 4, 4, 3, 3, 1, 3, 4, 0, 0, 0, 2, 4, 1, 4, 2, 3, 1, 4, 1, 2, 0, 3, 4, 2, 3, 3, 4, 1, 0, 1, 4, 2, 2, 4, 1, 1, 0, 3, 4, 1, 2, 2, 1, 0, 2, 3, 2, 1, 1, 0, 3, 0, 0, 1, 1, 2, 2, 4, 2, 2, 3, 4, 0, 2, 4, 0, 4, 4, 3, 4, 0, 2, 1, 2, 0, 2, 2, 4, 4, 1, 4, 2, 2, 4, 1, 0, 0, 4, 1, 2, 2, 2, 4, 0, 2, 1, 4, 2, 4, 4, 0, 3, 1, 1, 2, 4, 4, 1, 4, 0, 0, 2, 4, 0, 3, 3, 4, 4, 2, 2, 4, 3, 0, 4, 3, 4, 0, 3, 1, 1, 1, 3, 2, 0, 4, 0, 2, 3, 1, 2, 2, 3, 4, 3, 4, 1, 1, 2, 4, 1, 1, 3, 4, 0, 2, 4, 2, 2, 4, 1, 1, 4, 4, 3, 0, 2, 0, 0, 2, 2, 1, 3, 3, 4, 1, 4, 0, 3, 1, 1, 2, 0, 3, 0, 3, 0, 1, 0, 1, 2, 3, 2, 1, 4, 4, 3, 4, 1, 4, 0, 1, 1, 4, 1, 4, 4, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 4, 4, 2, 2, 4, 2, 2, 2, 0, 1, 2, 3, 4, 0, 1, 3, 3, 2, 1, 2, 2, 0, 1, 0, 3, 3, 1, 2, 3, 4, 4, 4, 1, 3, 4, 3, 4, 1, 1, 4, 1, 3, 0, 3, 1, 4, 4, 3, 0, 1, 0, 2, 1, 2, 0, 4, 0, 4, 4, 0, 2, 2, 2, 4, 3, 1, 2, 1, 4, 0, 2, 0, 0, 4, 2, 4, 0, 3, 0, 1, 4, 3, 1, 1, 2, 0, 0, 3, 3, 1, 0, 2, 3, 1, 2, 4, 2, 4, 3, 3, 3, 3, 3, 4, 0, 4, 1, 4, 1, 2, 3, 4, 1, 2, 4, 2, 2, 2, 0, 2, 3, 3, 4, 0, 2, 0, 0, 4, 1, 2, 0, 0, 2, 3, 3, 4, 3, 3, 3, 0, 4, 1, 3]
pubkeycol1272 = [4, 3, 3, 3, 3, 0, 3, 2, 3, 3, 0, 0, 2, 4, 1, 0, 2, 3, 2, 4, 1, 0, 3, 3, 0, 4, 1, 0, 4, 2, 1, 2, 2, 2, 1, 2, 1, 3, 2, 0, 2, 1, 4, 4, 4, 2, 2, 0, 4, 0, 1, 3, 3, 0, 0, 0, 4, 2, 1, 4, 1, 4, 4, 4, 0, 1, 4, 3, 3, 1, 4, 4, 4, 3, 0, 3, 0, 2, 3, 3, 3, 4, 2, 1, 0, 1, 3, 2, 0, 0, 2, 3, 0, 2, 4, 4, 1, 1, 0, 3, 3, 2, 0, 3, 1, 2, 1, 1, 2, 3, 1, 4, 2, 1, 4, 1, 3, 4, 2, 2, 0, 4, 2, 4, 4, 3, 4, 3, 1, 0, 4, 4, 2, 0, 4, 3, 3, 0, 1, 0, 4, 1, 0, 2, 0, 0, 2, 3, 0, 2, 0, 3, 0, 4, 0, 2, 2, 3, 1, 0, 2, 2, 1, 3, 4, 3, 0, 3, 4, 0, 0, 3, 2, 1, 3, 0, 1, 4, 2, 0, 3, 0, 0, 0, 3, 3, 3, 4, 3, 4, 1, 4, 2, 0, 4, 4, 4, 0, 1, 4, 4, 2, 4, 3, 4, 0, 4, 0, 4, 0, 4, 1, 1, 2, 2, 4, 0, 4, 3, 0, 4, 0, 0, 2, 1, 2, 1, 3, 3, 3, 3, 1, 4, 1, 1, 1, 0, 3, 1, 0, 1, 3, 0, 4, 3, 2, 0, 3, 4, 4, 0, 4, 2, 4, 0, 1, 3, 1, 0, 0, 2, 1, 3, 3, 4, 2, 1, 0, 1, 3, 3, 4, 2, 1, 3, 2, 0, 0, 2, 3, 1, 2, 0, 2, 0, 3, 0, 1, 0, 0, 1, 1, 2, 1, 1, 4, 3, 2, 1, 3, 1, 3, 2, 2, 4, 3, 3, 0, 1, 3, 3, 4, 1, 4, 0, 1, 0, 2, 2, 2, 2, 0, 4, 1, 3, 1, 3, 2, 2, 4, 4, 1, 0, 4, 1, 1, 4, 0, 2, 3, 0, 0, 0, 4, 1, 2, 2, 4, 1, 4, 3, 2, 3, 2, 2, 3, 1, 0, 1, 0, 4, 0, 1, 2, 3, 1, 1, 2, 4, 1, 2, 0, 2, 0, 3, 1, 0, 2, 0, 0, 3, 1, 0, 2, 4, 1, 1, 3, 0, 0, 0, 3, 1, 3, 1, 0, 4, 0, 3, 0]
pubkeycol1273 = [1, 1, 3, 3, 2, 0, 0, 0, 0, 3, 2, 0, 3, 2, 2, 1, 1, 1, 1, 3, 0, 0, 4, 3, 4, 1, 3, 3, 4, 0, 3, 2, 3, 2, 1, 0, 2, 4, 3, 0, 4, 3, 1, 4, 1, 0, 3, 0, 4, 0, 2, 4, 3, 1, 4, 2, 4, 2, 3, 1, 0, 0, 3, 2, 4, 1, 2, 1, 1, 4, 2, 0, 1, 4, 2, 2, 0, 3, 0, 4, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 3, 1, 2, 1, 1, 2, 1, 1, 2, 4, 3, 4, 1, 1, 2, 2, 3, 0, 2, 2, 0, 4, 3, 0, 0, 1, 1, 4, 3, 0, 1, 4, 2, 4, 0, 4, 0, 2, 4, 4, 2, 3, 1, 0, 4, 2, 4, 4, 0, 1, 2, 0, 1, 4, 0, 4, 4, 1, 3, 2, 3, 2, 2, 0, 1, 0, 4, 4, 1, 4, 0, 1, 3, 0, 3, 3, 1, 3, 1, 4, 4, 2, 2, 0, 0, 2, 0, 0, 0, 2, 4, 1, 4, 0, 3, 3, 4, 2, 3, 0, 0, 2, 1, 3, 1, 3, 1, 3, 2, 0, 1, 1, 3, 4, 3, 0, 3, 0, 1, 2, 1, 4, 0, 0, 3, 3, 0, 2, 4, 3, 0, 1, 3, 2, 2, 2, 1, 0, 4, 4, 3, 3, 3, 3, 2, 2, 0, 3, 4, 0, 0, 2, 4, 1, 4, 2, 1, 4, 4, 0, 3, 2, 2, 1, 0, 3, 4, 3, 0, 1, 3, 0, 3, 3, 3, 4, 4, 2, 3, 4, 2, 1, 4, 0, 3, 1, 1, 4, 0, 2, 0, 1, 1, 1, 2, 3, 0, 3, 3, 3, 4, 2, 3, 2, 2, 0, 3, 1, 0, 4, 3, 1, 1, 1, 0, 2, 4, 3, 2, 2, 0, 0, 0, 1, 2, 0, 4, 0, 0, 3, 2, 3, 2, 3, 0, 1, 4, 0, 4, 3, 1, 2, 1, 1, 1, 4, 0, 0, 3, 3, 2, 2, 1, 1, 0, 1, 2, 3, 0, 4, 3, 3, 3, 4, 4, 2, 4, 2, 3, 2, 1, 0, 4, 2, 3, 3, 4, 2, 2, 2, 4, 2, 2, 0, 2, 1, 3, 0, 0, 2, 2, 3, 3, 4, 1, 2, 0, 3, 4, 4, 3, 4, 2, 4, 3, 3, 3, 0, 4, 1]
pubkeycol1274 = [4, 2, 4, 1, 0, 4, 4, 4, 2, 0, 2, 4, 3, 0, 3, 2, 0, 4, 0, 4, 3, 4, 0, 2, 4, 1, 3, 4, 3, 4, 4, 0, 2, 0, 0, 3, 1, 0, 1, 0, 2, 0, 2, 3, 3, 3, 4, 4, 4, 1, 4, 4, 0, 3, 2, 3, 1, 1, 2, 2, 1, 1, 1, 4, 4, 0, 0, 1, 4, 1, 0, 2, 1, 3, 1, 1, 3, 3, 1, 3, 0, 0, 4, 3, 4, 3, 1, 2, 0, 0, 4, 3, 4, 1, 3, 1, 2, 4, 2, 4, 4, 4, 4, 2, 0, 1, 0, 3, 4, 1, 3, 3, 4, 1, 4, 1, 4, 1, 3, 3, 2, 1, 1, 4, 4, 1, 1, 1, 0, 3, 3, 3, 2, 2, 1, 4, 3, 2, 0, 4, 2, 1, 4, 1, 3, 2, 3, 4, 1, 2, 2, 4, 3, 1, 2, 3, 0, 0, 0, 4, 1, 0, 3, 4, 1, 1, 0, 4, 4, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 4, 1, 1, 3, 2, 3, 3, 4, 3, 0, 1, 0, 2, 4, 3, 2, 4, 4, 1, 1, 2, 1, 1, 3, 0, 0, 0, 0, 3, 0, 0, 3, 2, 0, 3, 2, 3, 0, 4, 2, 0, 2, 3, 4, 2, 4, 3, 1, 0, 4, 0, 3, 2, 2, 3, 3, 0, 0, 2, 4, 4, 0, 4, 2, 2, 1, 1, 2, 1, 1, 3, 4, 3, 4, 0, 2, 0, 3, 1, 3, 0, 1, 0, 3, 1, 4, 4, 1, 3, 0, 0, 4, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 4, 0, 4, 0, 2, 4, 3, 2, 0, 0, 4, 1, 2, 0, 1, 3, 3, 3, 2, 4, 2, 2, 0, 1, 2, 1, 2, 1, 3, 0, 1, 0, 4, 0, 2, 0, 3, 2, 2, 0, 0, 4, 1, 2, 2, 2, 0, 2, 4, 1, 1, 3, 3, 0, 4, 1, 4, 4, 0, 0, 1, 4, 4, 3, 1, 3, 2, 3, 0, 3, 4, 0, 1, 0, 1, 4, 2, 1, 1, 4, 0, 2, 0, 3, 1, 0, 3, 0, 3, 4, 2, 1, 4, 1, 3, 4, 3, 4, 4, 3, 3, 3, 0, 3, 3, 1, 3, 0, 3, 4, 0, 0, 2, 2, 3, 2, 0, 3, 1]
pubkeycol1275 = [1, 3, 2, 4, 3, 2, 1, 3, 3, 4, 1, 1, 3, 0, 3, 0, 0, 2, 4, 3, 0, 0, 1, 3, 1, 1, 1, 1, 3, 1, 4, 2, 4, 4, 3, 3, 2, 3, 3, 2, 1, 4, 4, 1, 0, 1, 0, 2, 2, 2, 0, 2, 4, 4, 1, 1, 4, 4, 0, 3, 4, 2, 0, 2, 3, 0, 3, 3, 0, 2, 1, 2, 3, 0, 1, 0, 2, 4, 1, 2, 2, 2, 3, 2, 0, 0, 0, 3, 0, 1, 0, 0, 0, 1, 0, 3, 3, 3, 0, 3, 1, 1, 0, 4, 4, 4, 2, 0, 0, 0, 1, 2, 2, 3, 3, 1, 4, 0, 0, 2, 1, 2, 0, 4, 2, 1, 2, 1, 2, 3, 2, 3, 2, 4, 2, 4, 4, 3, 2, 2, 1, 2, 0, 3, 3, 2, 1, 0, 4, 1, 1, 3, 4, 2, 2, 0, 1, 0, 4, 3, 1, 1, 2, 0, 0, 2, 3, 1, 0, 3, 2, 3, 0, 2, 2, 3, 1, 2, 1, 1, 4, 3, 0, 2, 2, 1, 1, 4, 3, 2, 3, 4, 0, 2, 3, 1, 1, 4, 4, 0, 4, 3, 2, 4, 3, 2, 0, 0, 4, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 4, 1, 1, 1, 4, 1, 0, 2, 1, 1, 3, 0, 1, 3, 2, 3, 3, 3, 0, 4, 2, 1, 1, 4, 1, 2, 4, 3, 1, 2, 0, 1, 4, 0, 1, 1, 2, 3, 1, 1, 3, 1, 0, 2, 4, 0, 1, 0, 0, 4, 1, 1, 2, 0, 0, 0, 4, 2, 2, 2, 4, 2, 1, 4, 0, 3, 2, 3, 1, 3, 2, 0, 2, 4, 3, 0, 0, 4, 1, 0, 2, 2, 0, 3, 1, 1, 1, 0, 0, 3, 1, 2, 3, 2, 2, 4, 4, 1, 1, 1, 2, 4, 0, 1, 1, 4, 2, 4, 1, 4, 4, 3, 1, 2, 1, 1, 2, 0, 1, 3, 1, 0, 4, 3, 0, 2, 4, 0, 2, 1, 0, 2, 4, 2, 1, 4, 1, 2, 2, 4, 3, 4, 3, 1, 2, 0, 4, 1, 0, 0, 0, 2, 4, 4, 2, 2, 3, 4, 1, 1, 3, 2, 3, 4, 3, 3, 2, 1, 3, 2, 0, 2, 0, 0, 4, 0, 0, 3]
pubkeycol1276 = [3, 2, 3, 0, 0, 4, 2, 2, 0, 0, 3, 2, 2, 2, 3, 4, 0, 2, 2, 0, 4, 2, 1, 2, 3, 3, 2, 2, 2, 4, 4, 2, 3, 2, 4, 0, 4, 1, 4, 0, 2, 1, 2, 2, 0, 4, 3, 2, 0, 1, 3, 1, 1, 4, 4, 1, 2, 0, 1, 2, 0, 4, 1, 3, 4, 0, 3, 2, 4, 0, 3, 1, 0, 1, 4, 2, 0, 2, 0, 4, 2, 3, 2, 1, 3, 0, 1, 3, 4, 4, 1, 4, 3, 0, 0, 4, 1, 4, 0, 2, 1, 1, 1, 2, 1, 0, 4, 4, 4, 4, 1, 2, 4, 1, 1, 4, 4, 3, 4, 2, 4, 4, 4, 3, 0, 3, 2, 4, 0, 2, 4, 0, 4, 2, 1, 1, 0, 3, 1, 3, 0, 2, 2, 1, 1, 0, 3, 2, 0, 0, 4, 2, 2, 3, 4, 2, 3, 2, 1, 1, 4, 2, 0, 0, 3, 0, 0, 2, 0, 3, 3, 0, 4, 2, 4, 1, 4, 0, 3, 0, 4, 3, 0, 3, 1, 4, 3, 4, 4, 1, 3, 1, 2, 1, 0, 1, 2, 2, 2, 4, 3, 3, 2, 1, 3, 4, 3, 2, 3, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 3, 0, 1, 0, 4, 0, 4, 0, 0, 0, 3, 3, 0, 1, 3, 4, 3, 4, 0, 3, 0, 4, 3, 0, 3, 0, 3, 3, 3, 4, 3, 3, 2, 0, 3, 2, 3, 4, 1, 3, 4, 4, 4, 4, 1, 0, 0, 3, 4, 0, 2, 0, 0, 4, 3, 1, 0, 4, 2, 1, 2, 3, 0, 3, 0, 3, 3, 0, 4, 0, 0, 0, 4, 4, 4, 4, 3, 0, 2, 4, 1, 0, 0, 0, 3, 4, 4, 4, 3, 2, 3, 1, 2, 4, 2, 3, 4, 3, 2, 0, 0, 4, 2, 3, 1, 2, 2, 0, 4, 3, 4, 4, 1, 2, 2, 4, 2, 1, 4, 1, 2, 3, 3, 3, 2, 4, 1, 2, 4, 4, 1, 4, 4, 3, 1, 4, 3, 2, 4, 4, 2, 1, 1, 2, 1, 0, 2, 3, 2, 0, 4, 0, 1, 2, 0, 1, 4, 0, 1, 3, 0, 4, 4, 3, 4, 0, 0, 4, 4, 1, 3, 1, 1, 3, 0, 4, 4, 1]
pubkeycol1277 = [1, 2, 2, 1, 0, 0, 2, 3, 2, 1, 3, 3, 4, 0, 3, 0, 3, 2, 2, 4, 2, 2, 1, 3, 4, 2, 1, 3, 3, 1, 1, 2, 3, 2, 3, 1, 3, 0, 4, 1, 4, 1, 4, 3, 4, 4, 2, 3, 0, 2, 3, 1, 3, 3, 3, 1, 1, 4, 3, 2, 4, 1, 3, 2, 0, 4, 3, 3, 3, 2, 2, 0, 0, 3, 0, 4, 4, 2, 4, 3, 4, 4, 2, 2, 4, 1, 0, 1, 2, 4, 0, 0, 2, 2, 3, 2, 4, 2, 4, 3, 4, 1, 2, 2, 3, 0, 2, 2, 3, 2, 1, 3, 0, 3, 4, 3, 4, 2, 1, 2, 0, 0, 1, 1, 1, 3, 2, 4, 3, 3, 0, 2, 3, 1, 2, 4, 1, 2, 3, 4, 1, 4, 0, 0, 3, 4, 0, 2, 0, 0, 2, 1, 3, 3, 2, 0, 0, 4, 2, 0, 1, 2, 1, 3, 0, 1, 0, 2, 4, 1, 3, 2, 1, 4, 4, 3, 2, 4, 1, 4, 3, 2, 4, 4, 1, 3, 0, 2, 2, 2, 1, 3, 0, 4, 1, 2, 1, 3, 1, 2, 0, 3, 0, 0, 3, 3, 4, 1, 2, 2, 4, 0, 4, 3, 2, 0, 0, 4, 4, 3, 0, 2, 3, 0, 1, 1, 3, 4, 3, 4, 1, 4, 1, 0, 3, 4, 2, 1, 1, 3, 4, 2, 2, 4, 0, 2, 3, 3, 4, 2, 1, 3, 1, 3, 3, 1, 4, 0, 4, 3, 1, 1, 1, 1, 0, 1, 2, 2, 4, 2, 1, 0, 0, 3, 2, 0, 1, 4, 3, 0, 0, 3, 2, 4, 2, 4, 0, 3, 0, 4, 4, 0, 2, 0, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 0, 1, 2, 4, 3, 3, 2, 2, 0, 0, 1, 0, 4, 3, 0, 4, 4, 2, 2, 4, 3, 2, 2, 1, 4, 1, 3, 0, 4, 3, 4, 1, 1, 0, 3, 0, 0, 1, 4, 2, 1, 2, 4, 1, 2, 0, 1, 0, 3, 2, 3, 4, 3, 2, 0, 0, 2, 2, 2, 3, 2, 3, 1, 2, 4, 0, 2, 4, 0, 2, 2, 4, 2, 2, 1, 0, 0, 2, 2, 3, 2, 3, 3, 4, 3, 4, 3, 3, 1, 1, 2, 3, 1, 1]
pubkeycol1278 = [1, 4, 3, 4, 0, 0, 3, 0, 1, 1, 4, 2, 0, 2, 1, 3, 3, 1, 4, 3, 1, 0, 2, 4, 4, 3, 3, 3, 1, 1, 0, 2, 2, 3, 4, 3, 0, 0, 0, 2, 1, 0, 2, 0, 3, 4, 2, 0, 2, 4, 1, 0, 0, 1, 0, 0, 3, 3, 1, 0, 1, 3, 4, 0, 2, 4, 1, 1, 3, 0, 2, 0, 3, 1, 2, 0, 0, 4, 4, 2, 1, 2, 4, 1, 1, 4, 3, 2, 1, 4, 0, 1, 2, 3, 1, 4, 1, 3, 2, 2, 4, 3, 4, 3, 3, 4, 3, 3, 4, 1, 3, 1, 3, 1, 1, 4, 4, 2, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 1, 2, 3, 4, 1, 0, 3, 1, 0, 2, 3, 4, 4, 2, 3, 1, 2, 2, 3, 4, 4, 3, 2, 4, 2, 4, 3, 3, 2, 1, 2, 1, 4, 0, 1, 2, 4, 3, 0, 1, 2, 3, 3, 2, 3, 2, 3, 3, 3, 1, 2, 3, 0, 4, 4, 1, 3, 0, 0, 1, 1, 4, 0, 3, 3, 4, 0, 0, 3, 2, 0, 0, 2, 0, 0, 2, 3, 0, 3, 0, 1, 3, 1, 3, 4, 1, 3, 0, 1, 0, 0, 1, 4, 1, 3, 0, 3, 2, 3, 0, 1, 1, 4, 1, 2, 3, 2, 4, 2, 4, 3, 0, 4, 3, 3, 3, 1, 1, 4, 2, 2, 0, 3, 4, 2, 4, 3, 2, 4, 1, 3, 2, 0, 3, 0, 0, 4, 1, 4, 4, 0, 3, 1, 3, 3, 4, 3, 4, 3, 0, 4, 1, 4, 3, 2, 0, 1, 1, 4, 2, 0, 2, 1, 1, 3, 3, 4, 1, 3, 2, 3, 1, 0, 2, 4, 1, 4, 0, 0, 2, 4, 0, 1, 2, 3, 2, 1, 0, 2, 3, 2, 2, 1, 3, 1, 2, 1, 0, 4, 1, 0, 3, 2, 1, 2, 0, 2, 4, 0, 1, 3, 3, 3, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 4, 1, 3, 0, 3, 0, 2, 1, 0, 2, 2, 0, 4, 1, 4, 1, 3, 2, 2, 4, 1, 1, 3, 0, 4, 0, 4, 2, 1, 1, 1, 4, 4, 2, 1, 4, 2, 1, 3, 3, 0, 1, 3, 0]
pubkeycol1279 = [2, 1, 3, 3, 3, 1, 2, 4, 3, 3, 3, 0, 3, 0, 3, 0, 4, 1, 1, 1, 4, 4, 2, 2, 4, 4, 1, 2, 1, 4, 1, 2, 0, 4, 4, 2, 1, 2, 3, 3, 2, 1, 2, 2, 4, 4, 0, 0, 4, 4, 4, 2, 3, 3, 4, 1, 0, 2, 1, 3, 0, 2, 3, 0, 0, 0, 4, 0, 0, 4, 0, 1, 1, 2, 2, 1, 0, 2, 0, 3, 1, 0, 4, 1, 1, 0, 3, 3, 1, 0, 4, 0, 4, 3, 3, 1, 4, 0, 1, 3, 0, 2, 2, 4, 2, 0, 4, 3, 3, 0, 2, 0, 3, 3, 2, 2, 2, 3, 2, 4, 2, 2, 1, 3, 0, 3, 2, 4, 4, 1, 1, 4, 0, 2, 0, 0, 4, 0, 1, 0, 3, 1, 0, 4, 2, 2, 2, 3, 0, 2, 3, 1, 0, 2, 2, 0, 1, 0, 4, 3, 1, 3, 0, 3, 0, 3, 1, 0, 2, 4, 1, 2, 2, 4, 3, 2, 4, 2, 3, 1, 4, 4, 2, 2, 1, 0, 3, 4, 2, 0, 4, 3, 2, 2, 3, 4, 3, 2, 0, 2, 1, 3, 2, 3, 4, 2, 0, 0, 4, 3, 3, 2, 3, 4, 1, 2, 3, 2, 1, 4, 0, 1, 3, 3, 4, 3, 1, 0, 2, 1, 2, 4, 0, 2, 3, 0, 4, 1, 1, 0, 1, 1, 0, 4, 0, 1, 4, 3, 1, 0, 4, 2, 0, 3, 4, 1, 1, 1, 2, 4, 1, 0, 0, 3, 2, 1, 4, 4, 3, 4, 2, 4, 4, 1, 1, 4, 0, 1, 3, 4, 0, 4, 1, 0, 1, 1, 2, 0, 1, 3, 1, 3, 4, 0, 2, 4, 3, 0, 3, 1, 0, 0, 0, 1, 4, 3, 4, 2, 4, 0, 2, 4, 0, 4, 0, 4, 3, 2, 2, 4, 3, 0, 3, 4, 1, 1, 2, 4, 1, 4, 4, 2, 0, 0, 0, 0, 4, 4, 2, 4, 3, 2, 0, 1, 3, 4, 1, 1, 1, 2, 0, 3, 2, 3, 0, 4, 0, 4, 0, 1, 2, 0, 0, 3, 4, 0, 0, 0, 0, 4, 4, 3, 4, 1, 1, 3, 4, 4, 4, 2, 2, 0, 2, 3, 1, 4, 2, 3, 1, 3, 1, 0, 4, 0, 0, 0, 4, 1, 3, 1]
pubkeycol1280 = [1, 2, 4, 4, 4, 2, 3, 4, 4, 0, 4, 1, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 2, 3, 2, 4, 0, 4, 2, 1, 4, 4, 2, 0, 3, 1, 4, 3, 1, 2, 0, 2, 0, 2, 3, 3, 0, 1, 4, 3, 0, 3, 4, 0, 1, 3, 1, 0, 2, 1, 1, 1, 3, 4, 1, 2, 3, 2, 2, 3, 4, 4, 1, 0, 2, 4, 4, 1, 0, 1, 0, 4, 3, 4, 2, 2, 2, 3, 2, 3, 4, 0, 2, 0, 2, 2, 0, 3, 4, 1, 0, 1, 3, 3, 4, 4, 1, 1, 0, 4, 2, 3, 0, 2, 4, 2, 4, 4, 1, 2, 3, 4, 2, 0, 0, 3, 2, 4, 1, 0, 4, 4, 0, 1, 2, 2, 0, 2, 2, 2, 3, 4, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3, 4, 1, 3, 0, 0, 2, 0, 3, 1, 4, 2, 4, 3, 0, 0, 0, 3, 4, 2, 2, 4, 1, 1, 3, 0, 3, 1, 4, 4, 1, 4, 4, 3, 0, 0, 2, 0, 2, 3, 4, 3, 4, 3, 2, 1, 1, 4, 1, 0, 1, 1, 0, 3, 4, 4, 0, 4, 0, 2, 2, 2, 3, 1, 2, 4, 4, 2, 4, 4, 1, 0, 3, 1, 4, 0, 1, 1, 0, 3, 3, 0, 1, 1, 0, 3, 1, 2, 2, 0, 4, 4, 2, 4, 1, 1, 4, 4, 2, 0, 0, 0, 0, 3, 0, 1, 2, 0, 3, 1, 0, 2, 1, 1, 1, 3, 3, 2, 1, 2, 3, 1, 2, 1, 4, 2, 0, 4, 2, 0, 4, 3, 4, 1, 1, 0, 3, 0, 3, 0, 4, 1, 4, 2, 2, 3, 0, 2, 4, 4, 4, 2, 4, 4, 0, 1, 1, 1, 4, 2, 0, 2, 2, 3, 3, 4, 2, 1, 3, 1, 2, 4, 4, 4, 3, 3, 3, 4, 0, 3, 1, 4, 4, 2, 1, 4, 4, 2, 4, 2, 0, 1, 2, 3, 1, 4, 2, 1, 1, 0, 3, 0, 2, 1, 4, 2, 0, 2, 0, 0, 2, 1, 4, 1, 3, 1, 0, 0, 0, 3, 2, 1, 3, 2, 4, 0, 0, 0, 3, 3, 3, 2, 3, 0, 4, 0, 1, 1, 4, 4]
pubkeycol1281 = [1, 3, 1, 3, 1, 1, 1, 1, 2, 3, 0, 1, 1, 1, 0, 0, 1, 0, 4, 4, 1, 3, 4, 0, 2, 4, 4, 1, 0, 3, 0, 3, 3, 1, 2, 3, 2, 2, 3, 1, 4, 1, 2, 1, 1, 3, 1, 3, 3, 0, 2, 1, 3, 2, 4, 3, 1, 3, 4, 3, 4, 4, 4, 3, 0, 2, 2, 0, 4, 2, 2, 1, 4, 1, 1, 2, 1, 2, 0, 3, 3, 3, 3, 2, 1, 3, 3, 0, 4, 3, 0, 3, 0, 0, 0, 4, 3, 3, 2, 1, 0, 4, 0, 1, 4, 3, 0, 4, 3, 2, 4, 2, 3, 1, 1, 2, 2, 4, 1, 0, 4, 0, 4, 2, 1, 4, 0, 0, 2, 3, 3, 4, 1, 3, 0, 1, 0, 4, 2, 1, 2, 1, 3, 3, 1, 3, 2, 0, 2, 4, 1, 4, 0, 3, 1, 1, 1, 2, 3, 3, 4, 4, 1, 1, 0, 4, 0, 1, 0, 1, 3, 4, 4, 4, 1, 2, 4, 0, 2, 3, 2, 0, 4, 2, 4, 3, 0, 1, 1, 4, 0, 3, 3, 4, 4, 1, 0, 2, 0, 2, 2, 4, 0, 4, 4, 0, 4, 0, 2, 4, 2, 0, 4, 1, 2, 1, 3, 4, 3, 1, 0, 2, 3, 0, 3, 4, 1, 1, 2, 2, 2, 1, 2, 1, 4, 3, 3, 0, 2, 2, 0, 0, 4, 2, 0, 3, 0, 1, 0, 1, 2, 4, 4, 3, 4, 1, 2, 4, 1, 2, 4, 3, 1, 1, 4, 3, 0, 3, 1, 0, 4, 1, 1, 1, 4, 1, 0, 0, 0, 1, 4, 2, 3, 4, 4, 2, 2, 4, 3, 3, 3, 4, 2, 1, 4, 1, 3, 0, 1, 1, 4, 1, 0, 0, 0, 0, 2, 2, 1, 4, 0, 3, 1, 0, 0, 4, 0, 3, 2, 1, 4, 0, 4, 4, 3, 3, 1, 0, 3, 2, 0, 3, 1, 1, 3, 2, 2, 2, 0, 4, 4, 1, 0, 3, 0, 4, 3, 3, 4, 2, 4, 1, 0, 4, 3, 4, 4, 1, 2, 0, 4, 2, 4, 4, 3, 1, 0, 1, 0, 1, 4, 2, 4, 2, 4, 2, 3, 4, 2, 3, 1, 3, 0, 4, 2, 2, 4, 2, 0, 2, 2, 4, 4, 3, 0, 2, 4, 1, 0, 0]
pubkeycol1282 = [0, 3, 3, 3, 1, 3, 0, 4, 4, 1, 2, 3, 0, 4, 1, 0, 0, 4, 2, 0, 4, 4, 0, 2, 2, 1, 0, 0, 3, 4, 0, 0, 4, 0, 4, 0, 0, 4, 1, 2, 3, 2, 0, 2, 0, 4, 0, 0, 2, 0, 1, 3, 2, 2, 1, 0, 4, 4, 1, 4, 3, 2, 4, 0, 0, 1, 2, 2, 1, 3, 4, 4, 3, 4, 4, 0, 3, 1, 1, 1, 1, 2, 1, 3, 0, 3, 3, 3, 2, 3, 4, 0, 0, 4, 4, 0, 0, 4, 4, 3, 2, 0, 0, 4, 2, 0, 0, 1, 3, 3, 3, 3, 4, 1, 2, 1, 0, 0, 1, 3, 3, 2, 3, 4, 3, 0, 0, 4, 3, 1, 3, 0, 2, 2, 2, 1, 3, 2, 2, 1, 2, 4, 1, 2, 0, 2, 2, 2, 2, 4, 1, 1, 0, 1, 3, 4, 4, 4, 1, 1, 1, 3, 1, 1, 3, 0, 4, 4, 2, 2, 3, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 4, 4, 1, 0, 0, 3, 3, 3, 2, 1, 3, 4, 2, 3, 3, 1, 1, 4, 3, 4, 0, 2, 1, 3, 1, 3, 2, 4, 1, 4, 4, 4, 3, 0, 2, 2, 0, 0, 3, 1, 4, 1, 1, 4, 1, 1, 4, 3, 4, 1, 1, 3, 3, 0, 3, 0, 2, 0, 2, 2, 4, 3, 4, 3, 3, 2, 3, 0, 2, 3, 4, 2, 4, 0, 1, 0, 3, 1, 4, 0, 2, 4, 3, 4, 1, 2, 0, 1, 3, 0, 0, 3, 2, 3, 1, 2, 2, 4, 0, 1, 0, 1, 4, 3, 1, 4, 2, 2, 2, 0, 0, 0, 3, 4, 4, 3, 2, 3, 3, 3, 1, 3, 4, 0, 1, 0, 4, 3, 1, 4, 2, 3, 4, 3, 4, 4, 0, 4, 0, 2, 0, 1, 3, 2, 3, 4, 0, 4, 2, 0, 1, 2, 0, 1, 1, 3, 3, 0, 3, 3, 1, 1, 3, 0, 4, 1, 1, 2, 1, 3, 4, 2, 3, 3, 1, 2, 4, 3, 2, 2, 2, 2, 2, 3, 4, 1, 0, 4, 3, 3, 0, 4, 1, 2, 2, 0, 1, 4, 1, 4, 2, 3, 2, 1, 2, 2, 3, 4, 1, 0, 4, 3, 2, 4, 4, 0, 3, 1, 3]
pubkeycol1283 = [0, 2, 1, 0, 0, 4, 1, 3, 3, 3, 0, 0, 0, 1, 4, 1, 0, 4, 2, 4, 4, 0, 0, 1, 0, 1, 4, 2, 0, 4, 1, 3, 0, 0, 4, 3, 0, 2, 1, 0, 4, 4, 0, 0, 3, 0, 1, 0, 4, 0, 4, 1, 2, 3, 4, 4, 0, 1, 4, 1, 3, 3, 4, 1, 4, 0, 2, 1, 2, 1, 3, 3, 3, 2, 4, 2, 2, 1, 0, 4, 1, 4, 4, 4, 0, 2, 2, 0, 2, 1, 3, 3, 2, 1, 4, 3, 0, 3, 1, 2, 0, 1, 1, 3, 2, 2, 1, 3, 3, 3, 0, 0, 1, 0, 2, 3, 4, 2, 0, 0, 0, 3, 3, 1, 4, 3, 3, 3, 0, 1, 0, 3, 3, 0, 3, 1, 0, 0, 3, 0, 1, 0, 0, 0, 1, 1, 4, 0, 4, 0, 3, 3, 3, 3, 1, 2, 2, 4, 3, 0, 2, 2, 0, 0, 1, 2, 2, 4, 0, 3, 2, 3, 0, 1, 0, 0, 1, 1, 0, 0, 1, 4, 2, 1, 2, 3, 1, 1, 4, 0, 3, 1, 1, 1, 3, 3, 3, 0, 4, 0, 1, 4, 3, 3, 3, 1, 1, 3, 0, 3, 3, 3, 2, 4, 4, 0, 0, 3, 3, 2, 2, 4, 3, 1, 0, 3, 4, 4, 4, 0, 2, 3, 4, 3, 4, 3, 4, 0, 1, 3, 0, 3, 1, 0, 3, 0, 2, 2, 2, 4, 2, 2, 0, 1, 4, 2, 4, 1, 4, 2, 4, 2, 3, 4, 3, 2, 3, 0, 1, 1, 4, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 3, 0, 2, 2, 4, 1, 3, 2, 4, 1, 3, 1, 4, 4, 2, 1, 1, 3, 1, 4, 1, 4, 0, 2, 4, 1, 0, 3, 4, 4, 1, 2, 4, 4, 0, 2, 0, 4, 3, 2, 1, 2, 2, 1, 2, 1, 0, 0, 4, 3, 4, 4, 3, 0, 4, 1, 0, 0, 1, 3, 3, 2, 2, 0, 0, 0, 1, 2, 1, 3, 2, 3, 2, 2, 4, 0, 3, 4, 2, 0, 3, 4, 0, 3, 0, 3, 0, 4, 3, 0, 0, 1, 4, 4, 4, 1, 2, 4, 2, 1, 2, 0, 4, 2, 1, 2, 1, 0, 0, 4, 4, 1, 0, 1, 1, 0, 0, 2, 0]
pubkeycol1284 = [1, 1, 4, 1, 4, 3, 1, 4, 4, 3, 3, 3, 2, 3, 0, 0, 4, 1, 2, 4, 0, 2, 0, 4, 4, 3, 3, 4, 4, 2, 1, 3, 4, 4, 4, 0, 4, 1, 0, 1, 3, 3, 3, 3, 3, 2, 4, 3, 1, 4, 2, 2, 2, 1, 4, 2, 4, 0, 1, 2, 2, 3, 1, 0, 2, 4, 2, 0, 3, 4, 4, 0, 4, 2, 2, 3, 4, 1, 0, 2, 4, 0, 1, 0, 1, 2, 1, 4, 2, 4, 4, 4, 4, 2, 0, 4, 1, 3, 2, 0, 0, 2, 2, 2, 1, 1, 0, 4, 2, 4, 2, 4, 4, 4, 1, 3, 2, 2, 4, 4, 4, 3, 1, 1, 2, 0, 3, 3, 4, 0, 1, 2, 2, 3, 1, 3, 3, 1, 2, 1, 4, 2, 4, 2, 0, 1, 0, 1, 3, 1, 2, 2, 4, 4, 4, 4, 4, 0, 2, 0, 3, 4, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 4, 0, 4, 0, 4, 1, 3, 0, 0, 1, 4, 4, 4, 2, 1, 1, 0, 2, 1, 1, 3, 4, 4, 4, 3, 3, 1, 1, 4, 2, 1, 2, 3, 1, 0, 2, 3, 4, 3, 4, 0, 4, 2, 2, 1, 2, 4, 1, 2, 4, 2, 3, 0, 1, 3, 0, 3, 4, 3, 4, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 4, 0, 3, 0, 3, 1, 2, 2, 4, 0, 0, 3, 3, 1, 0, 3, 4, 0, 3, 1, 2, 1, 2, 4, 3, 3, 2, 0, 4, 4, 3, 4, 0, 3, 1, 1, 0, 0, 0, 3, 1, 1, 4, 1, 2, 4, 4, 4, 3, 3, 1, 4, 4, 3, 4, 3, 0, 2, 4, 0, 4, 1, 2, 2, 3, 3, 1, 3, 0, 4, 0, 3, 4, 0, 3, 3, 0, 0, 2, 4, 4, 3, 2, 1, 2, 0, 3, 3, 2, 3, 0, 3, 3, 3, 1, 4, 3, 1, 0, 0, 2, 4, 4, 4, 0, 2, 1, 2, 3, 1, 0, 0, 4, 3, 3, 0, 4, 0, 0, 3, 2, 0, 1, 2, 0, 0, 1, 4, 3, 3, 2, 1, 2, 4, 0, 0, 0, 0, 4, 1, 2, 0, 3, 4, 4, 3, 0, 1, 4, 3, 4, 0, 4, 1, 1, 1]
pubkeycol1285 = [2, 3, 0, 0, 4, 1, 2, 3, 4, 4, 3, 3, 1, 3, 2, 0, 3, 0, 2, 2, 3, 0, 4, 0, 2, 2, 3, 4, 3, 2, 4, 3, 1, 3, 0, 4, 4, 3, 2, 2, 0, 1, 2, 2, 2, 1, 4, 4, 0, 3, 4, 3, 1, 3, 0, 4, 2, 0, 2, 4, 0, 1, 4, 4, 0, 1, 1, 0, 0, 0, 1, 0, 4, 4, 2, 2, 3, 2, 2, 3, 4, 2, 2, 1, 1, 1, 4, 0, 1, 0, 0, 3, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 4, 3, 4, 0, 4, 3, 3, 0, 2, 1, 3, 0, 2, 2, 0, 3, 2, 3, 4, 0, 0, 3, 0, 0, 0, 0, 3, 4, 2, 3, 0, 4, 2, 1, 1, 0, 3, 2, 2, 0, 1, 0, 3, 4, 2, 4, 0, 1, 4, 0, 2, 4, 1, 0, 1, 4, 2, 4, 2, 1, 3, 4, 1, 1, 3, 4, 4, 3, 4, 1, 3, 2, 2, 2, 0, 2, 0, 1, 3, 4, 2, 4, 0, 0, 3, 4, 4, 4, 4, 2, 3, 4, 3, 2, 3, 4, 1, 3, 3, 3, 2, 0, 1, 2, 3, 0, 2, 3, 4, 3, 2, 1, 1, 4, 0, 2, 0, 0, 3, 1, 4, 4, 3, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 4, 1, 1, 3, 2, 2, 2, 2, 0, 4, 4, 0, 2, 2, 2, 4, 2, 1, 1, 0, 1, 4, 1, 2, 3, 4, 3, 0, 0, 2, 4, 2, 1, 0, 1, 0, 4, 2, 1, 0, 2, 4, 1, 2, 1, 2, 3, 4, 4, 0, 0, 1, 4, 4, 4, 1, 1, 3, 4, 0, 0, 2, 1, 2, 0, 3, 3, 2, 4, 0, 4, 2, 4, 0, 2, 1, 2, 0, 4, 4, 1, 3, 4, 4, 0, 3, 0, 2, 2, 3, 3, 4, 2, 3, 2, 1, 1, 3, 0, 4, 1, 4, 1, 1, 3, 3, 4, 4, 4, 0, 0, 3, 3, 1, 4, 4, 4, 4, 4, 4, 3, 0, 1, 0, 0, 0, 4, 0, 4, 1, 1, 3, 2, 0, 3, 4, 0, 4, 0, 2, 2, 4, 2, 4, 3, 2, 4, 0, 2, 1, 3, 1, 1, 1, 4, 1, 1, 1, 0, 4, 0, 3, 3, 2]
pubkeycol1286 = [4, 3, 0, 0, 2, 2, 2, 2, 0, 1, 3, 0, 4, 4, 1, 2, 2, 0, 2, 4, 2, 2, 4, 3, 3, 1, 2, 4, 2, 4, 1, 2, 2, 4, 1, 4, 3, 2, 4, 3, 0, 4, 3, 4, 1, 0, 3, 0, 1, 0, 0, 0, 4, 1, 1, 3, 3, 3, 2, 2, 3, 4, 4, 3, 0, 0, 0, 4, 4, 3, 4, 2, 4, 1, 4, 2, 0, 3, 3, 1, 4, 2, 1, 4, 1, 3, 0, 2, 1, 0, 2, 4, 0, 2, 4, 3, 4, 2, 0, 4, 4, 1, 3, 2, 1, 0, 3, 4, 2, 3, 2, 3, 1, 4, 3, 3, 0, 0, 4, 3, 3, 2, 3, 4, 3, 0, 2, 1, 3, 2, 1, 4, 1, 3, 2, 4, 2, 4, 3, 1, 1, 2, 4, 2, 2, 3, 1, 3, 0, 3, 2, 4, 0, 0, 2, 4, 1, 3, 3, 4, 3, 1, 2, 4, 4, 2, 2, 3, 1, 4, 4, 1, 1, 4, 2, 0, 2, 1, 0, 3, 2, 2, 2, 1, 2, 4, 3, 2, 2, 3, 3, 2, 4, 3, 0, 4, 4, 0, 2, 2, 4, 1, 0, 1, 2, 0, 3, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 4, 0, 4, 1, 2, 4, 3, 1, 2, 3, 0, 0, 2, 1, 1, 0, 4, 3, 2, 2, 3, 4, 0, 3, 4, 2, 4, 1, 2, 3, 3, 4, 0, 0, 3, 4, 1, 3, 2, 1, 1, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 0, 3, 1, 3, 3, 1, 4, 0, 1, 0, 2, 0, 4, 0, 4, 4, 1, 2, 3, 2, 4, 1, 3, 4, 2, 1, 0, 0, 1, 3, 3, 2, 4, 3, 0, 3, 4, 4, 1, 3, 3, 2, 4, 2, 3, 3, 1, 3, 2, 1, 3, 3, 1, 0, 4, 3, 0, 0, 0, 1, 2, 4, 2, 3, 4, 1, 1, 0, 4, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 3, 2, 2, 1, 1, 4, 3, 1, 3, 2, 1, 4, 0, 0, 2, 2, 3, 0, 3, 1, 0, 0, 1, 4, 3, 0, 4, 1, 4, 1, 4, 1, 3, 2, 1, 0, 1, 3, 0, 4]
pubkeycol1287 = [4, 1, 1, 1, 3, 4, 4, 3, 2, 2, 0, 0, 3, 3, 4, 4, 1, 4, 1, 0, 3, 4, 0, 2, 0, 0, 3, 0, 2, 0, 2, 0, 3, 3, 1, 1, 1, 1, 0, 0, 4, 0, 4, 2, 3, 2, 2, 2, 1, 3, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 4, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 3, 3, 2, 2, 0, 2, 1, 3, 3, 1, 2, 1, 1, 3, 0, 1, 3, 1, 4, 2, 0, 4, 1, 3, 4, 2, 2, 2, 2, 4, 0, 2, 0, 2, 4, 0, 0, 3, 0, 0, 0, 2, 2, 2, 4, 0, 1, 1, 2, 4, 0, 3, 0, 4, 2, 1, 2, 3, 4, 4, 2, 4, 2, 4, 2, 1, 3, 0, 2, 4, 1, 2, 2, 4, 0, 2, 1, 3, 3, 2, 1, 2, 4, 1, 1, 3, 4, 1, 4, 3, 4, 2, 4, 2, 4, 2, 4, 3, 0, 1, 3, 3, 3, 2, 4, 4, 1, 4, 3, 2, 1, 0, 0, 2, 3, 1, 2, 4, 3, 3, 4, 2, 1, 2, 4, 0, 4, 1, 3, 1, 2, 4, 3, 1, 3, 3, 1, 1, 4, 0, 1, 0, 2, 4, 0, 1, 4, 4, 0, 1, 4, 0, 4, 4, 4, 2, 2, 4, 1, 3, 1, 3, 1, 2, 3, 4, 0, 0, 3, 2, 0, 0, 0, 2, 2, 4, 3, 1, 0, 4, 4, 3, 0, 0, 3, 2, 3, 1, 2, 1, 4, 3, 3, 2, 4, 2, 0, 1, 1, 4, 3, 2, 2, 4, 1, 2, 2, 4, 3, 2, 1, 1, 1, 4, 1, 3, 0, 1, 3, 1, 2, 1, 4, 0, 0, 0, 2, 2, 1, 3, 2, 3, 3, 3, 0, 2, 4, 1, 2, 3, 0, 4, 0, 3, 3, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 4, 2, 3, 4, 3, 2, 1, 3, 0, 1, 2, 0, 4, 0, 3, 2, 4, 0, 3, 0, 2, 1, 0, 4, 2, 4, 3, 1, 2, 1, 0, 4, 4, 0, 2, 2, 1, 4, 4, 3, 3, 4, 0, 4, 3, 3, 3, 1, 1, 0, 1, 3, 2, 3, 4, 3, 1, 1, 1, 2, 4, 1, 0, 1, 1, 2, 4]
pubkeycol1288 = [4, 0, 0, 4, 2, 2, 4, 0, 3, 4, 2, 4, 0, 1, 4, 3, 1, 0, 4, 4, 2, 1, 0, 0, 4, 4, 1, 4, 0, 1, 0, 4, 3, 0, 1, 3, 3, 2, 0, 4, 1, 4, 4, 2, 1, 1, 2, 4, 3, 0, 1, 2, 1, 1, 1, 0, 0, 4, 1, 0, 4, 2, 4, 3, 4, 1, 0, 2, 4, 3, 4, 0, 0, 3, 4, 1, 4, 2, 4, 4, 1, 0, 4, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 3, 2, 2, 1, 2, 2, 0, 3, 0, 2, 0, 2, 4, 4, 2, 1, 4, 1, 3, 0, 0, 0, 0, 4, 4, 3, 0, 1, 3, 3, 0, 2, 2, 0, 1, 4, 2, 3, 1, 2, 4, 0, 4, 4, 2, 2, 2, 4, 3, 4, 2, 2, 1, 3, 2, 4, 3, 3, 1, 3, 2, 3, 2, 2, 0, 0, 3, 2, 2, 3, 0, 1, 2, 0, 0, 1, 4, 2, 4, 2, 4, 1, 1, 4, 2, 1, 0, 3, 4, 3, 3, 1, 1, 0, 4, 2, 2, 0, 3, 1, 3, 1, 1, 0, 0, 0, 2, 3, 1, 4, 0, 2, 3, 0, 4, 1, 0, 1, 3, 1, 2, 4, 0, 3, 1, 0, 1, 1, 0, 1, 1, 0, 3, 0, 4, 1, 4, 4, 4, 2, 4, 4, 4, 2, 2, 2, 3, 4, 1, 2, 0, 1, 1, 0, 0, 3, 1, 2, 1, 3, 2, 3, 3, 3, 3, 2, 1, 2, 0, 3, 2, 3, 3, 3, 3, 3, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 4, 0, 3, 4, 0, 0, 2, 0, 3, 0, 4, 4, 4, 0, 1, 4, 3, 4, 3, 0, 4, 1, 0, 3, 3, 4, 1, 0, 2, 2, 3, 1, 4, 1, 4, 1, 1, 2, 1, 3, 0, 1, 0, 0, 0, 2, 4, 1, 1, 2, 1, 0, 1, 4, 1, 3, 0, 4, 1, 3, 1, 4, 2, 4, 2, 1, 2, 1, 4, 2, 2, 0, 4, 2, 0, 3, 1, 0, 2, 4, 3, 4, 2, 4, 2, 2, 0, 3, 2, 0, 0, 2, 3, 0, 4, 3, 1, 3, 2, 3, 3, 4, 0, 4, 1, 1, 0, 2, 0, 0, 2, 4, 1]
pubkeycol1289 = [1, 4, 1, 0, 3, 1, 3, 3, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 4, 4, 2, 3, 3, 4, 3, 4, 4, 0, 4, 3, 4, 3, 2, 3, 0, 2, 0, 4, 4, 2, 2, 1, 3, 0, 0, 0, 4, 3, 4, 0, 0, 0, 3, 3, 2, 4, 2, 2, 0, 4, 3, 0, 0, 2, 3, 4, 2, 4, 2, 2, 2, 2, 1, 1, 1, 4, 1, 3, 2, 2, 3, 4, 1, 2, 0, 1, 3, 2, 0, 1, 1, 4, 3, 4, 2, 3, 4, 4, 1, 2, 0, 4, 4, 1, 3, 0, 2, 1, 0, 0, 1, 0, 2, 0, 4, 3, 0, 2, 2, 2, 1, 4, 3, 1, 3, 0, 2, 3, 0, 0, 1, 2, 2, 4, 1, 0, 3, 0, 4, 2, 2, 3, 3, 4, 3, 3, 3, 2, 0, 1, 2, 0, 1, 0, 1, 3, 0, 3, 1, 1, 1, 1, 4, 1, 0, 3, 1, 2, 4, 1, 0, 4, 4, 3, 2, 4, 4, 3, 3, 0, 0, 1, 0, 4, 0, 0, 2, 2, 4, 0, 4, 3, 0, 2, 0, 1, 3, 0, 4, 3, 3, 0, 4, 3, 4, 0, 2, 2, 0, 2, 1, 3, 2, 0, 2, 3, 3, 1, 2, 0, 3, 0, 4, 1, 4, 4, 4, 4, 0, 1, 1, 2, 3, 1, 3, 3, 4, 3, 1, 1, 2, 0, 2, 1, 1, 3, 4, 0, 2, 3, 2, 0, 4, 3, 2, 4, 3, 2, 3, 0, 3, 1, 1, 4, 0, 2, 4, 4, 0, 2, 3, 4, 0, 3, 0, 1, 1, 0, 4, 2, 3, 0, 4, 0, 1, 3, 2, 3, 4, 4, 0, 2, 3, 3, 3, 3, 0, 2, 3, 4, 1, 0, 4, 1, 2, 4, 4, 3, 3, 3, 2, 0, 0, 3, 4, 3, 4, 3, 0, 4, 1, 0, 2, 4, 2, 0, 2, 0, 4, 1, 1, 3, 3, 3, 0, 4, 1, 0, 4, 2, 3, 3, 4, 0, 3, 3, 4, 1, 1, 2, 0, 4, 1, 3, 0, 1, 2, 3, 2, 1, 4, 3, 4, 0, 4, 4, 1, 2, 0, 4, 4, 2, 1, 3, 4, 3, 2, 2, 2, 3, 1, 2, 4, 1, 3, 0, 0, 0, 2, 3, 2, 3, 1, 4, 0, 2, 0, 0]
pubkeycol1290 = [1, 1, 3, 2, 0, 2, 3, 0, 4, 3, 1, 1, 1, 3, 3, 3, 3, 1, 4, 4, 2, 0, 1, 0, 4, 3, 2, 1, 2, 2, 2, 3, 0, 4, 4, 4, 0, 1, 3, 2, 2, 3, 3, 2, 4, 3, 2, 2, 2, 0, 3, 1, 2, 4, 1, 0, 2, 0, 2, 3, 4, 0, 2, 0, 4, 4, 4, 4, 3, 1, 0, 4, 2, 0, 1, 0, 0, 1, 1, 4, 1, 4, 2, 1, 3, 3, 3, 1, 0, 4, 3, 1, 2, 2, 2, 0, 3, 1, 3, 3, 4, 1, 4, 2, 2, 1, 2, 1, 3, 4, 2, 4, 1, 0, 4, 0, 4, 2, 4, 3, 3, 3, 3, 1, 0, 2, 3, 3, 4, 4, 2, 4, 4, 3, 2, 3, 1, 2, 2, 3, 2, 4, 1, 4, 1, 4, 2, 4, 3, 3, 4, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0, 4, 0, 2, 0, 3, 3, 3, 0, 4, 0, 4, 0, 3, 3, 3, 1, 0, 1, 4, 4, 1, 2, 4, 2, 3, 2, 4, 3, 3, 0, 4, 2, 2, 4, 1, 3, 0, 4, 2, 3, 1, 3, 2, 4, 2, 2, 0, 4, 2, 4, 0, 3, 4, 3, 0, 4, 2, 1, 0, 0, 1, 2, 1, 3, 2, 0, 3, 3, 1, 1, 1, 0, 2, 3, 2, 2, 4, 3, 2, 0, 1, 0, 4, 2, 3, 2, 0, 3, 3, 4, 2, 2, 4, 0, 3, 2, 1, 4, 4, 1, 0, 3, 1, 2, 2, 0, 0, 1, 0, 4, 4, 3, 4, 2, 1, 0, 3, 1, 0, 0, 2, 3, 4, 2, 2, 0, 1, 3, 4, 3, 4, 2, 0, 0, 4, 0, 4, 1, 1, 1, 0, 2, 3, 2, 0, 2, 2, 0, 4, 1, 4, 3, 1, 1, 4, 1, 1, 4, 2, 0, 3, 0, 3, 4, 4, 1, 1, 2, 2, 3, 2, 3, 0, 2, 1, 0, 0, 4, 1, 4, 2, 4, 4, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 4, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 3, 1, 4, 2, 3, 0, 2, 2, 3, 0, 2, 4, 0, 2, 4, 0, 4, 2, 2, 0, 1, 2, 2, 1, 4, 2, 2, 3]
pubkeycol1291 = [2, 4, 2, 1, 1, 2, 3, 0, 0, 3, 0, 1, 4, 4, 1, 1, 0, 3, 1, 0, 4, 2, 1, 0, 2, 3, 3, 0, 4, 4, 1, 2, 0, 1, 3, 2, 4, 1, 1, 0, 4, 1, 4, 2, 2, 3, 1, 2, 2, 0, 3, 2, 4, 4, 4, 2, 0, 4, 3, 0, 3, 0, 0, 1, 1, 2, 1, 3, 1, 2, 0, 1, 1, 2, 3, 1, 0, 3, 1, 4, 3, 0, 2, 1, 2, 3, 2, 1, 2, 2, 3, 0, 3, 2, 3, 1, 3, 2, 3, 0, 3, 4, 0, 2, 4, 2, 1, 4, 0, 4, 1, 1, 1, 1, 3, 1, 1, 4, 3, 1, 1, 3, 4, 0, 3, 4, 0, 4, 0, 4, 2, 1, 1, 3, 4, 0, 2, 0, 0, 3, 1, 2, 2, 1, 3, 0, 0, 0, 1, 1, 0, 4, 2, 4, 0, 0, 3, 4, 3, 2, 0, 4, 4, 3, 1, 2, 3, 1, 4, 3, 1, 4, 4, 1, 2, 1, 3, 2, 0, 2, 3, 2, 2, 4, 0, 0, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2, 1, 3, 3, 0, 2, 4, 1, 0, 1, 4, 0, 1, 0, 4, 2, 3, 2, 0, 3, 0, 2, 4, 2, 4, 0, 0, 1, 0, 2, 3, 4, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 4, 1, 4, 1, 1, 4, 3, 0, 1, 1, 2, 2, 1, 3, 3, 1, 1, 3, 4, 4, 2, 1, 4, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 3, 3, 0, 1, 2, 0, 4, 0, 1, 0, 4, 0, 4, 2, 4, 0, 4, 3, 1, 2, 3, 3, 1, 2, 1, 0, 0, 0, 3, 1, 2, 4, 3, 1, 3, 4, 3, 2, 4, 2, 0, 1, 2, 0, 0, 4, 1, 1, 4, 3, 1, 2, 4, 1, 1, 1, 0, 0, 0, 3, 3, 2, 4, 1, 4, 1, 0, 3, 3, 0, 2, 3, 2, 1, 3, 4, 3, 4, 4, 1, 4, 3, 0, 3, 2, 4, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 4, 2, 3, 1, 0, 2, 0, 4, 2, 4, 0, 2, 3, 4, 2, 1, 4, 2, 1, 0, 3, 4, 2, 3, 1, 1, 2, 0]
pubkeycol1292 = [0, 1, 0, 1, 2, 3, 1, 1, 1, 4, 1, 4, 2, 0, 1, 4, 0, 0, 2, 4, 0, 0, 1, 0, 1, 1, 4, 0, 2, 2, 4, 3, 2, 3, 2, 1, 2, 4, 0, 4, 3, 3, 0, 0, 0, 4, 1, 3, 3, 0, 3, 2, 3, 4, 4, 2, 0, 4, 2, 3, 0, 3, 4, 0, 0, 2, 4, 4, 1, 1, 2, 3, 0, 3, 2, 4, 3, 0, 3, 0, 1, 4, 0, 1, 0, 0, 2, 3, 2, 1, 3, 0, 4, 2, 3, 0, 0, 2, 0, 3, 0, 4, 3, 3, 0, 3, 1, 0, 4, 4, 3, 2, 3, 4, 4, 3, 3, 4, 0, 3, 3, 0, 4, 3, 2, 0, 0, 4, 4, 3, 3, 4, 3, 0, 3, 4, 2, 1, 0, 2, 4, 3, 1, 1, 3, 3, 2, 3, 1, 4, 4, 3, 0, 2, 0, 4, 4, 3, 3, 0, 4, 2, 2, 0, 3, 4, 2, 4, 4, 2, 4, 3, 3, 0, 2, 3, 1, 1, 4, 4, 1, 1, 2, 2, 2, 2, 4, 1, 1, 4, 4, 1, 0, 0, 4, 1, 2, 1, 2, 4, 4, 2, 2, 2, 4, 1, 2, 3, 0, 1, 3, 3, 4, 0, 0, 0, 3, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 4, 4, 2, 1, 1, 0, 2, 1, 1, 1, 4, 3, 1, 4, 1, 0, 4, 3, 3, 2, 3, 2, 0, 3, 4, 1, 3, 3, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 4, 2, 0, 1, 3, 1, 0, 4, 4, 1, 2, 1, 3, 4, 2, 2, 1, 0, 2, 2, 4, 0, 2, 2, 1, 3, 3, 0, 0, 1, 3, 1, 4, 4, 3, 4, 1, 3, 1, 0, 2, 3, 1, 1, 3, 0, 1, 3, 4, 3, 3, 4, 0, 1, 3, 2, 3, 1, 3, 3, 4, 0, 0, 1, 4, 3, 3, 0, 2, 1, 3, 2, 4, 3, 3, 1, 3, 1, 3, 1, 2, 4, 1, 4, 1, 0, 1, 3, 0, 3, 3, 4, 1, 3, 3, 1, 1, 0, 0, 0, 3, 1, 1, 1, 3, 0, 0, 1, 3, 4, 1, 1, 3, 2, 1, 0, 4, 3, 2, 1, 3, 4, 2, 0, 0, 1, 2, 3, 1, 3, 0, 2]
pubkeycol1293 = [4, 0, 4, 4, 3, 3, 4, 1, 4, 1, 0, 0, 3, 4, 1, 2, 0, 0, 4, 2, 1, 0, 0, 2, 3, 4, 0, 0, 4, 0, 0, 1, 0, 0, 4, 1, 0, 1, 3, 3, 4, 1, 3, 1, 0, 3, 4, 3, 0, 0, 4, 2, 4, 4, 0, 3, 4, 3, 0, 0, 2, 0, 4, 1, 1, 0, 4, 4, 3, 0, 0, 0, 4, 1, 0, 1, 2, 2, 3, 4, 0, 1, 1, 1, 2, 1, 1, 0, 0, 3, 0, 0, 0, 3, 2, 3, 2, 4, 4, 1, 4, 3, 0, 0, 0, 2, 1, 4, 3, 1, 1, 4, 4, 1, 2, 0, 1, 3, 1, 2, 0, 3, 4, 4, 1, 2, 2, 3, 4, 1, 0, 0, 1, 4, 2, 3, 1, 2, 3, 0, 1, 0, 2, 1, 2, 2, 3, 3, 4, 1, 1, 0, 3, 4, 3, 0, 4, 3, 4, 0, 1, 3, 4, 3, 2, 4, 3, 4, 3, 3, 3, 1, 1, 1, 4, 1, 4, 3, 0, 2, 1, 1, 2, 0, 4, 3, 1, 4, 1, 4, 4, 2, 1, 2, 2, 2, 4, 3, 3, 3, 1, 1, 0, 4, 3, 1, 1, 3, 4, 2, 2, 0, 1, 4, 3, 1, 0, 1, 2, 0, 0, 4, 1, 2, 4, 2, 1, 3, 3, 3, 0, 1, 1, 0, 2, 3, 0, 3, 2, 1, 0, 1, 4, 3, 0, 1, 2, 3, 4, 2, 2, 0, 0, 0, 4, 1, 1, 0, 2, 4, 4, 4, 1, 2, 0, 4, 0, 0, 0, 3, 2, 3, 1, 2, 3, 0, 0, 2, 1, 1, 2, 4, 1, 1, 4, 2, 1, 4, 1, 3, 0, 3, 4, 4, 3, 3, 2, 4, 4, 2, 3, 2, 3, 4, 1, 0, 4, 3, 2, 3, 2, 0, 4, 2, 4, 1, 0, 3, 4, 4, 3, 0, 4, 0, 2, 1, 2, 2, 1, 4, 0, 0, 2, 3, 1, 2, 1, 0, 3, 0, 4, 4, 2, 4, 3, 1, 2, 4, 4, 0, 2, 3, 0, 1, 0, 2, 4, 0, 4, 1, 4, 1, 3, 3, 2, 2, 2, 4, 2, 0, 2, 3, 1, 2, 0, 1, 4, 3, 3, 4, 3, 2, 4, 2, 1, 2, 3, 2, 2, 0, 1, 4, 0, 4, 3, 0, 3, 2, 3, 0]
pubkeycol1294 = [4, 2, 4, 4, 2, 4, 2, 0, 0, 0, 2, 1, 1, 4, 2, 1, 2, 0, 1, 2, 1, 0, 4, 3, 2, 2, 1, 4, 2, 4, 0, 1, 1, 2, 1, 4, 1, 3, 1, 2, 2, 4, 3, 2, 1, 1, 2, 4, 4, 3, 3, 3, 4, 0, 2, 4, 3, 2, 1, 3, 4, 1, 1, 4, 1, 2, 1, 4, 4, 2, 0, 3, 0, 0, 2, 0, 1, 4, 4, 2, 1, 2, 0, 4, 4, 4, 4, 0, 1, 2, 4, 4, 3, 2, 1, 1, 3, 3, 3, 0, 1, 0, 0, 2, 0, 0, 4, 1, 4, 3, 1, 0, 0, 0, 3, 3, 0, 2, 0, 2, 3, 0, 4, 1, 1, 4, 2, 1, 4, 2, 0, 4, 3, 1, 4, 3, 2, 0, 2, 1, 0, 4, 3, 4, 4, 0, 2, 1, 0, 4, 4, 3, 4, 3, 4, 0, 0, 1, 4, 0, 4, 4, 4, 4, 3, 2, 4, 0, 2, 1, 4, 2, 0, 4, 0, 4, 0, 2, 1, 4, 2, 4, 2, 4, 4, 1, 3, 2, 1, 1, 3, 2, 4, 0, 4, 1, 3, 3, 1, 1, 0, 0, 1, 1, 4, 1, 1, 1, 3, 3, 4, 3, 1, 2, 0, 4, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 4, 4, 1, 2, 4, 3, 4, 0, 1, 4, 1, 1, 0, 3, 3, 0, 2, 3, 3, 1, 3, 0, 0, 0, 4, 1, 0, 3, 0, 0, 0, 0, 2, 4, 4, 2, 2, 3, 3, 2, 4, 2, 1, 3, 0, 2, 3, 4, 4, 3, 3, 0, 1, 0, 0, 2, 3, 0, 0, 1, 0, 0, 2, 4, 3, 0, 0, 3, 4, 0, 2, 0, 0, 3, 4, 2, 4, 3, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 3, 1, 0, 2, 0, 2, 1, 1, 1, 4, 0, 2, 0, 1, 1, 1, 2, 1, 4, 3, 4, 4, 2, 1, 1, 3, 1, 3, 1, 2, 0, 3, 2, 0, 3, 2, 3, 1, 2, 4, 2, 0, 3, 3, 3, 3, 3, 3, 3, 1, 0, 3, 1, 0, 0, 4, 0, 2, 4, 4, 4, 4, 2, 4, 1, 2, 2, 2, 2, 3, 2, 0, 2, 3, 3, 3, 0, 0, 2, 3, 3, 0, 2, 3, 0]
pubkeycol1295 = [4, 0, 3, 3, 4, 1, 1, 4, 0, 2, 2, 0, 3, 0, 0, 1, 4, 1, 0, 0, 4, 4, 2, 0, 2, 0, 4, 2, 3, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 4, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 2, 0, 1, 4, 2, 4, 3, 2, 2, 0, 1, 3, 2, 2, 2, 3, 0, 3, 3, 0, 2, 4, 1, 2, 4, 2, 2, 3, 2, 3, 3, 3, 2, 1, 2, 3, 1, 3, 1, 2, 2, 0, 1, 4, 2, 2, 3, 4, 2, 0, 0, 0, 4, 4, 4, 3, 0, 2, 2, 3, 1, 1, 0, 3, 3, 1, 4, 3, 3, 1, 2, 1, 1, 4, 4, 1, 1, 0, 0, 3, 0, 3, 4, 4, 2, 0, 3, 1, 4, 0, 4, 2, 0, 4, 4, 1, 0, 0, 0, 1, 2, 1, 4, 3, 1, 0, 4, 3, 4, 0, 1, 0, 3, 0, 2, 0, 4, 4, 3, 2, 0, 2, 3, 4, 0, 0, 2, 1, 2, 0, 0, 3, 2, 2, 0, 1, 1, 3, 2, 2, 1, 0, 2, 4, 3, 1, 0, 0, 3, 1, 4, 0, 0, 3, 0, 0, 3, 0, 1, 3, 3, 3, 3, 4, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 0, 1, 0, 3, 4, 0, 3, 1, 2, 1, 4, 3, 1, 3, 1, 0, 3, 2, 3, 1, 4, 0, 0, 1, 0, 1, 0, 4, 3, 2, 4, 3, 1, 2, 0, 3, 0, 0, 0, 3, 0, 3, 2, 0, 3, 1, 1, 3, 3, 0, 4, 3, 2, 4, 0, 3, 3, 4, 3, 4, 0, 0, 4, 4, 4, 3, 2, 3, 3, 3, 0, 1, 2, 4, 4, 4, 1, 0, 0, 3, 1, 1, 2, 2, 0, 0, 3, 2, 4, 0, 3, 1, 2, 4, 3, 2, 3, 3, 4, 1, 1, 0, 3, 4, 3, 1, 4, 1, 3, 4, 2, 4, 3, 1, 3, 0, 0, 0, 2, 0, 2, 1, 4, 1, 2, 4, 0, 1, 0, 2, 4, 2, 3, 1, 1, 4, 4, 3, 3, 4, 0, 2, 1, 0, 1, 0, 1, 3, 4, 3, 1, 2, 4, 2, 4, 1, 0, 3, 4, 2, 2, 3, 4, 2, 3, 1, 3, 3, 2, 0, 2, 4, 4, 0]
pubkeycol1296 = [1, 3, 1, 0, 3, 1, 4, 4, 2, 2, 0, 2, 0, 3, 1, 1, 3, 3, 2, 2, 0, 2, 0, 0, 4, 3, 4, 0, 4, 4, 1, 1, 2, 2, 0, 0, 2, 4, 2, 3, 3, 4, 0, 2, 0, 3, 1, 0, 1, 2, 2, 3, 2, 3, 2, 2, 4, 4, 3, 1, 2, 3, 2, 3, 1, 4, 0, 1, 4, 1, 4, 1, 0, 1, 4, 1, 2, 1, 3, 1, 3, 2, 3, 0, 0, 4, 1, 0, 4, 0, 3, 1, 3, 3, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 2, 4, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 0, 3, 2, 4, 4, 0, 1, 0, 1, 2, 0, 4, 4, 4, 1, 1, 4, 2, 4, 4, 0, 1, 2, 0, 4, 4, 4, 4, 4, 3, 1, 1, 1, 0, 3, 2, 2, 0, 0, 0, 0, 2, 1, 0, 3, 3, 4, 0, 1, 3, 2, 0, 4, 4, 2, 3, 1, 2, 0, 1, 0, 4, 2, 2, 3, 2, 3, 1, 2, 0, 1, 1, 1, 3, 4, 1, 4, 0, 4, 0, 4, 2, 1, 2, 4, 1, 3, 0, 2, 0, 1, 3, 4, 3, 1, 3, 3, 3, 3, 3, 0, 3, 2, 4, 4, 0, 0, 4, 0, 1, 1, 4, 0, 3, 4, 3, 3, 3, 0, 3, 4, 2, 2, 1, 1, 3, 0, 3, 0, 3, 4, 4, 3, 3, 2, 0, 4, 2, 4, 2, 1, 3, 4, 2, 1, 2, 2, 0, 1, 1, 4, 1, 0, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 0, 0, 2, 3, 3, 2, 1, 0, 0, 4, 2, 3, 0, 0, 0, 1, 4, 4, 3, 2, 1, 3, 3, 4, 4, 0, 0, 1, 1, 1, 3, 2, 2, 0, 4, 1, 1, 0, 3, 0, 4, 2, 1, 2, 4, 3, 4, 3, 2, 4, 4, 3, 1, 1, 2, 3, 1, 2, 1, 0, 4, 4, 2, 1, 0, 3, 1, 3, 3, 3, 1, 2, 2, 2, 0, 1, 4, 2, 0, 3, 2, 4, 2, 0, 4, 4, 2, 4, 2, 0, 3, 1, 4, 2, 1, 3, 0, 0, 0, 0, 2, 0, 4, 3, 2, 3, 1, 1, 1, 0, 4, 3, 4, 2, 1, 4, 0]
pubkeycol1297 = [4, 4, 3, 2, 0, 0, 4, 0, 4, 2, 0, 2, 1, 0, 0, 3, 1, 3, 4, 2, 2, 3, 4, 1, 1, 2, 4, 2, 4, 2, 2, 2, 0, 4, 2, 4, 3, 3, 3, 2, 1, 0, 0, 0, 2, 0, 2, 3, 4, 1, 2, 3, 1, 1, 2, 1, 2, 3, 4, 3, 0, 2, 2, 3, 2, 3, 3, 3, 2, 3, 3, 1, 0, 3, 3, 3, 4, 1, 3, 1, 3, 3, 4, 4, 3, 2, 0, 4, 4, 4, 4, 2, 3, 4, 4, 2, 0, 2, 4, 1, 4, 2, 2, 2, 1, 0, 1, 1, 3, 1, 0, 0, 0, 0, 4, 4, 0, 0, 2, 4, 0, 2, 1, 1, 1, 4, 2, 0, 0, 0, 2, 4, 3, 2, 3, 4, 4, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 3, 4, 1, 4, 4, 4, 1, 2, 0, 3, 0, 1, 1, 2, 1, 3, 2, 0, 1, 2, 0, 2, 3, 2, 1, 2, 1, 3, 0, 4, 0, 1, 3, 0, 0, 2, 1, 1, 0, 3, 4, 1, 0, 4, 2, 2, 0, 2, 4, 0, 1, 2, 2, 4, 2, 0, 1, 4, 4, 2, 4, 0, 2, 4, 1, 3, 3, 4, 2, 0, 2, 0, 4, 2, 1, 2, 4, 1, 4, 1, 4, 1, 0, 1, 3, 3, 4, 2, 1, 1, 3, 4, 4, 3, 2, 3, 1, 4, 2, 4, 0, 4, 4, 4, 4, 0, 3, 4, 0, 1, 0, 4, 3, 2, 3, 4, 0, 4, 4, 3, 0, 1, 4, 2, 4, 1, 4, 1, 4, 0, 0, 1, 2, 2, 0, 4, 2, 2, 3, 4, 2, 1, 0, 0, 1, 1, 4, 0, 3, 0, 3, 0, 0, 1, 0, 3, 4, 2, 0, 4, 4, 1, 4, 3, 2, 1, 4, 1, 0, 1, 3, 3, 0, 1, 4, 0, 0, 4, 1, 1, 4, 0, 4, 2, 2, 1, 3, 2, 4, 1, 2, 3, 1, 2, 0, 4, 3, 2, 0, 2, 4, 1, 3, 0, 0, 4, 4, 1, 1, 3, 0, 4, 3, 3, 2, 4, 3, 0, 3, 4, 2, 2, 0, 1, 3, 2, 3, 1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 1, 1, 3, 3, 0, 0, 2, 2, 4, 1, 4, 4, 0, 3]
pubkeycol1298 = [1, 1, 3, 2, 1, 0, 3, 0, 3, 2, 4, 2, 4, 2, 0, 2, 3, 3, 1, 2, 0, 2, 3, 3, 2, 2, 4, 3, 4, 4, 0, 1, 4, 2, 4, 3, 0, 3, 1, 3, 2, 0, 0, 3, 1, 3, 2, 0, 3, 4, 2, 2, 2, 1, 0, 3, 3, 4, 0, 4, 4, 1, 0, 4, 2, 2, 1, 0, 3, 2, 2, 3, 1, 2, 0, 4, 3, 2, 0, 4, 2, 4, 4, 2, 2, 1, 0, 0, 2, 4, 4, 1, 0, 2, 4, 4, 4, 3, 0, 4, 2, 1, 3, 1, 2, 4, 3, 1, 0, 3, 2, 0, 4, 1, 2, 0, 2, 3, 0, 3, 2, 4, 2, 1, 2, 3, 0, 2, 3, 1, 0, 2, 1, 3, 2, 1, 3, 2, 2, 0, 0, 3, 0, 4, 2, 4, 1, 4, 1, 3, 2, 2, 1, 2, 3, 4, 0, 1, 2, 4, 4, 0, 1, 3, 0, 1, 3, 0, 4, 2, 3, 4, 3, 1, 0, 4, 2, 2, 1, 4, 0, 4, 2, 0, 4, 2, 3, 4, 3, 3, 4, 3, 1, 2, 0, 1, 2, 3, 0, 1, 4, 4, 1, 1, 0, 3, 0, 0, 0, 3, 1, 3, 4, 1, 3, 4, 0, 4, 3, 1, 2, 0, 3, 2, 3, 1, 1, 4, 0, 0, 3, 0, 4, 2, 2, 2, 1, 3, 0, 3, 2, 0, 3, 1, 4, 4, 2, 2, 2, 4, 3, 2, 1, 0, 4, 3, 4, 2, 4, 0, 2, 4, 2, 2, 4, 2, 0, 1, 3, 4, 3, 0, 3, 0, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 4, 3, 4, 4, 2, 0, 2, 1, 3, 2, 3, 1, 1, 0, 2, 4, 1, 2, 2, 3, 4, 3, 2, 2, 0, 1, 4, 1, 3, 2, 1, 4, 0, 1, 3, 3, 2, 0, 2, 2, 1, 0, 0, 3, 2, 3, 4, 2, 3, 2, 2, 3, 1, 4, 0, 1, 2, 3, 1, 3, 1, 2, 4, 3, 0, 2, 2, 0, 3, 3, 4, 3, 2, 2, 0, 2, 2, 3, 1, 2, 1, 0, 1, 3, 3, 2, 1, 1, 2, 0, 4, 1, 0, 1, 1, 3, 1, 2, 4, 2, 3, 3, 1, 4, 2, 0, 1, 1, 3, 0, 0, 0, 0, 3]
pubkeycol1299 = [3, 1, 4, 2, 4, 1, 1, 3, 1, 1, 2, 0, 0, 4, 1, 4, 2, 1, 0, 4, 0, 2, 2, 0, 0, 3, 1, 0, 0, 0, 2, 3, 4, 4, 4, 0, 4, 0, 4, 4, 0, 2, 2, 1, 3, 3, 1, 3, 4, 4, 2, 3, 3, 2, 0, 1, 2, 2, 1, 1, 2, 3, 2, 0, 1, 4, 2, 1, 3, 2, 1, 3, 4, 2, 3, 0, 3, 0, 4, 4, 3, 2, 2, 2, 3, 3, 1, 0, 2, 4, 3, 1, 0, 1, 2, 3, 3, 1, 4, 3, 4, 0, 2, 1, 1, 1, 0, 3, 0, 2, 0, 0, 4, 2, 2, 0, 1, 1, 4, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 3, 1, 1, 4, 2, 1, 4, 3, 3, 3, 2, 1, 4, 2, 4, 1, 1, 3, 2, 4, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 3, 3, 4, 3, 3, 2, 1, 0, 0, 1, 1, 2, 1, 2, 3, 2, 3, 4, 0, 1, 3, 2, 4, 1, 3, 1, 0, 2, 3, 4, 4, 3, 3, 2, 3, 3, 1, 2, 3, 1, 0, 0, 3, 3, 2, 2, 0, 4, 3, 4, 0, 0, 4, 3, 4, 0, 3, 4, 1, 3, 2, 4, 1, 2, 3, 3, 0, 1, 0, 0, 1, 2, 1, 2, 3, 0, 4, 3, 3, 1, 0, 4, 4, 0, 3, 1, 3, 0, 0, 1, 3, 1, 1, 2, 4, 2, 2, 4, 1, 2, 1, 3, 2, 0, 4, 0, 1, 2, 0, 1, 0, 3, 4, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 4, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 3, 2, 3, 3, 1, 1, 4, 1, 3, 0, 3, 0, 4, 0, 2, 2, 1, 3, 1, 4, 1, 2, 2, 2, 4, 3, 0, 3, 4, 1, 4, 1, 2, 0, 1, 4, 2, 0, 1, 0, 4, 0, 3, 2, 2, 0, 1, 1, 1, 4, 0, 4, 2, 2, 2, 3, 2, 2, 4, 2, 2, 0, 2, 4, 2, 4, 1, 3, 2, 1, 4, 2, 2, 1, 1, 4, 3, 2, 0, 3, 0, 3, 3, 4, 3, 0, 3, 0, 0, 3, 0, 3, 0, 2, 0, 3, 4, 1, 4]
pubkeycol1300 = [2, 4, 0, 1, 1, 1, 2, 1, 1, 0, 4, 1, 3, 0, 3, 0, 3, 3, 4, 3, 4, 0, 2, 1, 3, 1, 1, 4, 1, 3, 0, 2, 4, 4, 2, 1, 1, 0, 2, 3, 3, 2, 1, 2, 0, 3, 2, 1, 1, 2, 2, 3, 4, 2, 3, 3, 0, 1, 4, 2, 2, 4, 2, 2, 2, 0, 3, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 3, 2, 1, 1, 3, 0, 0, 1, 2, 2, 1, 2, 3, 1, 1, 4, 0, 4, 3, 2, 3, 0, 2, 0, 4, 3, 0, 4, 0, 1, 3, 2, 0, 0, 2, 1, 4, 1, 1, 0, 0, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, 0, 4, 4, 2, 1, 4, 4, 0, 1, 2, 0, 2, 0, 3, 4, 2, 1, 4, 4, 0, 0, 2, 2, 3, 1, 2, 1, 3, 4, 4, 4, 1, 4, 2, 0, 2, 3, 3, 2, 4, 3, 2, 3, 0, 4, 3, 1, 1, 3, 3, 0, 4, 0, 3, 2, 1, 3, 4, 3, 3, 1, 1, 0, 4, 3, 2, 3, 0, 2, 1, 4, 3, 2, 4, 1, 3, 2, 2, 3, 3, 1, 2, 3, 0, 0, 3, 3, 4, 4, 0, 3, 0, 4, 0, 2, 1, 1, 4, 3, 4, 3, 3, 0, 2, 3, 4, 0, 4, 4, 3, 0, 3, 4, 1, 4, 1, 4, 2, 2, 0, 3, 0, 1, 3, 2, 0, 4, 3, 2, 1, 0, 1, 2, 2, 1, 2, 3, 4, 0, 2, 1, 2, 4, 4, 1, 1, 0, 4, 4, 1, 3, 0, 3, 4, 1, 1, 1, 3, 0, 0, 4, 4, 0, 2, 3, 0, 2, 4, 3, 4, 2, 2, 2, 1, 1, 4, 2, 4, 3, 0, 1, 0, 1, 3, 1, 4, 3, 4, 1, 2, 1, 1, 0, 4, 0, 3, 4, 2, 1, 0, 4, 3, 2, 0, 3, 0, 3, 1, 0, 0, 1, 3, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 4, 0, 2, 1, 4, 1, 1, 2, 0, 3, 4, 4, 2, 0, 1, 0, 4, 1, 1, 0, 3, 4, 3, 2, 0, 3, 3, 4, 4, 3, 4, 2, 4, 2, 3, 3, 0, 3, 1, 3, 1, 1, 4, 3, 4, 4, 4]
pubkeycol1301 = [1, 0, 1, 1, 0, 3, 3, 1, 0, 3, 3, 2, 2, 1, 0, 4, 1, 4, 2, 2, 2, 1, 0, 3, 2, 1, 2, 1, 4, 3, 3, 0, 4, 3, 4, 3, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 3, 2, 4, 3, 2, 2, 1, 4, 0, 2, 1, 3, 4, 1, 3, 1, 3, 1, 2, 2, 0, 4, 1, 4, 3, 1, 2, 4, 3, 1, 1, 2, 3, 1, 3, 0, 2, 2, 0, 4, 0, 0, 0, 3, 4, 2, 3, 3, 3, 0, 0, 0, 0, 1, 3, 0, 0, 0, 3, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 0, 4, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 3, 1, 3, 2, 1, 2, 2, 1, 3, 2, 3, 3, 0, 2, 4, 0, 3, 0, 4, 0, 4, 1, 2, 3, 2, 4, 1, 0, 3, 3, 2, 0, 4, 1, 2, 3, 1, 3, 3, 2, 2, 1, 2, 4, 2, 1, 3, 2, 4, 4, 4, 3, 3, 0, 1, 0, 4, 2, 1, 4, 2, 4, 2, 4, 1, 0, 4, 3, 1, 1, 1, 4, 4, 4, 4, 0, 3, 2, 3, 0, 4, 1, 3, 0, 1, 1, 0, 2, 3, 4, 2, 0, 2, 3, 1, 0, 3, 4, 3, 0, 3, 1, 2, 3, 4, 4, 4, 0, 4, 1, 2, 4, 0, 0, 1, 3, 3, 1, 0, 2, 2, 4, 0, 3, 1, 0, 4, 0, 0, 2, 4, 1, 0, 2, 2, 2, 2, 0, 2, 3, 2, 1, 3, 3, 1, 4, 0, 0, 0, 1, 2, 4, 1, 0, 3, 3, 2, 4, 1, 4, 1, 3, 4, 1, 4, 3, 1, 2, 2, 0, 2, 3, 0, 2, 3, 0, 3, 4, 0, 0, 0, 2, 0, 2, 2, 4, 4, 4, 4, 4, 1, 1, 0, 0, 3, 2, 3, 4, 2, 1, 1, 4, 3, 1, 0, 2, 3, 3, 0, 2, 1, 0, 3, 2, 2, 3, 0, 0, 0, 1, 0, 0, 3, 2, 2, 1, 3, 1, 3, 2, 4, 3, 4, 4, 2, 2, 1, 2, 3, 0, 1, 4, 0, 4, 0, 1, 0, 0, 4, 2, 3, 2, 0, 0, 2, 1, 0, 0, 4, 4, 4, 4, 2, 0, 1, 3, 0, 4, 4, 0, 3, 1, 4]
pubkeycol1302 = [0, 3, 0, 4, 4, 1, 4, 4, 1, 0, 3, 2, 3, 4, 4, 4, 4, 1, 4, 3, 0, 1, 0, 4, 2, 4, 2, 3, 1, 0, 0, 2, 2, 2, 3, 0, 3, 2, 0, 2, 3, 4, 3, 1, 3, 3, 1, 2, 3, 4, 3, 2, 0, 2, 4, 1, 4, 4, 3, 0, 4, 0, 4, 4, 2, 1, 1, 2, 1, 2, 3, 3, 0, 0, 4, 3, 0, 2, 0, 3, 4, 2, 1, 1, 4, 3, 3, 1, 3, 3, 1, 0, 3, 0, 4, 1, 2, 4, 0, 4, 1, 4, 3, 4, 2, 1, 2, 1, 0, 3, 3, 3, 2, 1, 1, 2, 3, 1, 4, 2, 4, 3, 3, 2, 3, 1, 1, 1, 2, 3, 4, 4, 1, 0, 3, 1, 0, 1, 0, 3, 0, 4, 2, 1, 0, 0, 3, 3, 4, 4, 2, 3, 2, 3, 1, 1, 3, 1, 1, 3, 4, 0, 4, 4, 2, 4, 0, 1, 1, 4, 0, 2, 0, 4, 2, 2, 3, 0, 0, 1, 1, 2, 1, 3, 2, 4, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 4, 1, 3, 1, 3, 4, 1, 2, 3, 4, 4, 4, 4, 0, 1, 2, 3, 3, 0, 0, 0, 2, 2, 0, 3, 0, 1, 2, 0, 4, 1, 4, 2, 1, 1, 1, 2, 2, 2, 1, 0, 3, 1, 2, 0, 1, 1, 4, 4, 4, 4, 1, 3, 4, 1, 1, 0, 4, 3, 4, 2, 3, 2, 4, 4, 0, 3, 3, 4, 0, 1, 3, 0, 2, 3, 2, 1, 1, 0, 1, 1, 1, 1, 4, 3, 3, 4, 3, 4, 1, 3, 2, 0, 3, 0, 1, 2, 3, 2, 2, 2, 3, 3, 0, 0, 3, 4, 2, 0, 4, 1, 4, 0, 0, 0, 4, 2, 0, 3, 1, 1, 0, 3, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 4, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 4, 1, 0, 2, 3, 0, 3, 3, 3, 4, 1, 3, 2, 3, 3, 1, 1, 0, 4, 4, 0, 0, 1, 1, 2, 4, 3, 1, 1, 4, 1, 3, 1, 2, 3, 1, 2, 4, 0, 2, 1, 0, 1, 0, 4, 4, 3, 4, 4, 2, 0, 4, 0, 1, 2, 0, 4, 2]
pubkeycol1303 = [4, 3, 4, 3, 3, 1, 1, 4, 3, 1, 3, 2, 2, 4, 4, 3, 1, 3, 2, 1, 3, 0, 1, 0, 3, 0, 4, 4, 4, 2, 1, 4, 0, 0, 1, 3, 1, 2, 2, 0, 4, 2, 1, 1, 2, 0, 2, 1, 2, 4, 1, 0, 1, 4, 0, 4, 3, 4, 0, 4, 4, 4, 2, 2, 1, 1, 2, 0, 3, 1, 4, 1, 3, 4, 1, 2, 4, 4, 2, 4, 4, 0, 0, 3, 0, 2, 2, 1, 3, 2, 0, 3, 3, 3, 4, 0, 0, 4, 2, 1, 2, 1, 0, 0, 3, 1, 4, 3, 4, 1, 3, 3, 3, 4, 0, 2, 4, 3, 1, 1, 4, 2, 0, 2, 2, 0, 4, 2, 0, 1, 4, 0, 2, 0, 1, 3, 1, 4, 3, 1, 4, 3, 3, 1, 2, 1, 3, 4, 3, 0, 1, 1, 2, 1, 3, 1, 2, 1, 0, 3, 4, 1, 4, 1, 0, 1, 2, 0, 1, 4, 1, 1, 3, 4, 4, 1, 3, 1, 4, 3, 4, 4, 4, 0, 1, 0, 0, 4, 1, 1, 3, 2, 0, 1, 4, 1, 1, 2, 1, 1, 3, 2, 4, 0, 1, 0, 2, 0, 1, 1, 2, 2, 3, 4, 4, 1, 1, 4, 4, 1, 2, 2, 0, 4, 4, 3, 2, 2, 4, 4, 0, 2, 0, 2, 1, 2, 0, 0, 3, 3, 2, 2, 1, 3, 3, 2, 2, 4, 0, 2, 4, 0, 4, 0, 0, 2, 4, 3, 0, 3, 1, 4, 4, 0, 2, 0, 4, 2, 2, 3, 2, 3, 2, 1, 4, 3, 1, 1, 4, 2, 0, 1, 0, 3, 2, 2, 4, 3, 1, 3, 0, 2, 1, 4, 4, 1, 2, 0, 1, 1, 1, 0, 4, 2, 3, 0, 2, 3, 1, 0, 4, 2, 2, 3, 4, 2, 1, 3, 0, 2, 4, 3, 0, 0, 0, 1, 2, 0, 3, 3, 0, 2, 0, 1, 3, 2, 4, 1, 2, 2, 0, 4, 2, 3, 1, 3, 2, 2, 1, 4, 1, 0, 4, 4, 2, 0, 2, 4, 0, 4, 1, 1, 1, 4, 4, 1, 2, 1, 4, 1, 2, 1, 0, 3, 0, 4, 4, 4, 4, 4, 1, 3, 1, 0, 4, 1, 1, 4, 3, 1, 1, 1, 3, 2, 2, 3, 0, 2, 0, 0]
pubkeycol1304 = [2, 3, 3, 3, 3, 2, 1, 4, 2, 1, 1, 2, 4, 2, 0, 0, 0, 1, 2, 4, 3, 0, 1, 0, 1, 4, 1, 4, 2, 0, 3, 1, 2, 3, 1, 1, 1, 4, 0, 1, 3, 1, 4, 4, 4, 4, 2, 4, 0, 4, 1, 0, 2, 2, 2, 1, 3, 2, 4, 0, 2, 4, 4, 1, 3, 4, 3, 4, 1, 3, 4, 0, 2, 3, 0, 2, 2, 4, 0, 4, 1, 3, 4, 2, 0, 1, 3, 2, 0, 0, 0, 3, 3, 0, 4, 2, 1, 2, 4, 2, 0, 2, 2, 1, 0, 4, 0, 1, 3, 0, 0, 1, 0, 1, 1, 1, 1, 4, 2, 1, 4, 0, 2, 3, 1, 3, 3, 2, 2, 2, 2, 1, 1, 2, 1, 4, 4, 1, 4, 3, 4, 1, 0, 4, 1, 1, 3, 4, 4, 2, 1, 3, 4, 1, 2, 4, 3, 2, 4, 1, 3, 1, 2, 4, 3, 1, 4, 3, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 4, 4, 1, 0, 0, 1, 4, 1, 3, 4, 1, 0, 3, 0, 3, 0, 4, 1, 2, 1, 3, 4, 2, 4, 4, 4, 0, 2, 2, 3, 3, 3, 1, 0, 2, 1, 4, 4, 2, 3, 4, 0, 0, 1, 3, 1, 0, 3, 1, 2, 3, 1, 2, 4, 0, 1, 0, 1, 4, 4, 4, 3, 4, 2, 3, 0, 4, 2, 0, 1, 1, 0, 4, 2, 0, 0, 1, 3, 2, 3, 1, 4, 2, 0, 2, 0, 0, 0, 2, 3, 4, 4, 2, 1, 0, 0, 4, 3, 1, 2, 2, 0, 2, 1, 3, 2, 1, 2, 1, 3, 2, 0, 1, 4, 3, 4, 4, 3, 0, 1, 1, 4, 1, 4, 1, 0, 3, 1, 4, 0, 1, 1, 0, 1, 2, 2, 4, 3, 2, 0, 2, 4, 1, 3, 3, 3, 2, 0, 1, 4, 1, 0, 3, 1, 3, 2, 3, 4, 2, 2, 2, 4, 3, 2, 1, 2, 1, 4, 3, 1, 2, 0, 4, 3, 1, 4, 2, 4, 0, 3, 1, 4, 1, 0, 4, 1, 2, 1, 1, 2, 3, 4, 2, 1, 1, 4, 2, 0, 3, 1, 1, 0, 1, 2, 3, 0, 3, 4, 4, 0, 3, 2, 4, 2, 3, 3, 2, 3, 0, 0, 1, 3]
pubkeycol1305 = [1, 4, 1, 3, 0, 4, 4, 4, 0, 1, 2, 3, 1, 4, 2, 0, 1, 4, 3, 3, 1, 0, 3, 0, 1, 1, 3, 4, 1, 0, 2, 0, 1, 1, 2, 0, 4, 4, 1, 3, 0, 2, 0, 0, 2, 1, 2, 1, 4, 0, 1, 2, 1, 1, 3, 0, 0, 1, 0, 4, 3, 4, 0, 3, 2, 4, 2, 2, 2, 2, 2, 0, 4, 1, 3, 4, 2, 4, 0, 0, 4, 1, 1, 3, 2, 1, 1, 4, 4, 4, 0, 2, 0, 4, 3, 2, 1, 3, 2, 3, 2, 1, 2, 0, 1, 2, 0, 3, 0, 4, 3, 2, 0, 2, 2, 3, 2, 1, 1, 0, 1, 1, 1, 2, 3, 0, 4, 3, 1, 2, 2, 3, 0, 0, 2, 0, 0, 3, 2, 3, 2, 2, 0, 0, 1, 3, 3, 2, 0, 0, 1, 0, 2, 2, 0, 3, 4, 2, 4, 2, 4, 0, 0, 3, 0, 1, 0, 3, 3, 2, 2, 0, 0, 2, 4, 4, 3, 4, 0, 4, 4, 1, 0, 1, 2, 4, 4, 4, 2, 0, 2, 0, 3, 3, 2, 2, 4, 2, 4, 1, 0, 4, 0, 4, 2, 3, 3, 3, 3, 3, 0, 3, 4, 3, 4, 4, 0, 2, 3, 4, 1, 2, 0, 4, 3, 4, 2, 0, 4, 0, 2, 0, 4, 2, 4, 3, 0, 3, 0, 4, 3, 1, 3, 3, 2, 0, 2, 3, 1, 0, 1, 2, 3, 1, 0, 1, 1, 1, 2, 1, 4, 0, 1, 4, 0, 4, 1, 1, 1, 2, 2, 4, 3, 4, 3, 4, 0, 2, 3, 2, 0, 4, 3, 0, 1, 3, 4, 0, 3, 1, 3, 3, 3, 0, 1, 1, 2, 0, 2, 4, 0, 2, 0, 2, 1, 0, 3, 2, 4, 2, 4, 1, 0, 1, 4, 4, 4, 4, 1, 4, 0, 3, 2, 1, 0, 2, 1, 0, 2, 3, 0, 2, 0, 3, 3, 4, 1, 1, 0, 4, 4, 2, 1, 4, 4, 3, 4, 0, 2, 2, 3, 2, 3, 3, 1, 1, 4, 4, 2, 1, 3, 2, 4, 1, 1, 1, 1, 0, 4, 4, 1, 0, 0, 4, 2, 4, 1, 2, 4, 2, 1, 3, 1, 0, 3, 4, 0, 3, 1, 3, 0, 2, 3, 1, 3, 2, 0, 2, 2, 4]
pubkeycol1306 = [0, 3, 3, 2, 2, 1, 1, 4, 2, 1, 2, 0, 3, 4, 3, 3, 2, 0, 2, 3, 0, 1, 4, 3, 2, 4, 4, 4, 0, 2, 0, 4, 0, 4, 1, 0, 2, 4, 3, 0, 2, 2, 1, 2, 4, 4, 1, 2, 1, 4, 4, 3, 3, 3, 4, 2, 3, 0, 2, 3, 3, 0, 0, 1, 3, 4, 4, 0, 1, 3, 4, 4, 0, 0, 0, 1, 3, 0, 3, 3, 3, 0, 0, 3, 1, 1, 2, 0, 1, 0, 0, 1, 2, 4, 1, 1, 2, 0, 3, 2, 3, 2, 1, 4, 3, 0, 2, 0, 0, 0, 1, 3, 1, 0, 3, 2, 1, 0, 3, 3, 4, 3, 2, 2, 1, 1, 1, 2, 0, 1, 4, 3, 3, 0, 0, 2, 0, 3, 2, 0, 3, 0, 3, 0, 3, 4, 2, 1, 4, 1, 1, 3, 0, 1, 3, 2, 0, 4, 3, 1, 4, 2, 4, 1, 0, 0, 2, 1, 1, 4, 0, 1, 1, 2, 4, 0, 1, 2, 2, 4, 1, 1, 4, 4, 0, 1, 1, 1, 2, 1, 0, 0, 4, 0, 1, 2, 4, 1, 3, 1, 1, 3, 1, 0, 1, 1, 1, 2, 2, 1, 0, 4, 2, 2, 1, 0, 4, 4, 1, 1, 4, 4, 4, 0, 0, 1, 2, 2, 2, 0, 4, 0, 1, 3, 4, 0, 2, 2, 0, 3, 1, 2, 1, 3, 1, 4, 2, 1, 1, 2, 4, 1, 2, 1, 4, 3, 1, 4, 0, 0, 2, 1, 1, 3, 4, 2, 1, 4, 3, 3, 2, 0, 4, 3, 1, 3, 1, 0, 2, 1, 4, 3, 1, 1, 4, 0, 0, 4, 3, 3, 4, 0, 4, 3, 3, 1, 2, 2, 0, 3, 2, 3, 1, 1, 2, 2, 1, 0, 4, 3, 1, 3, 1, 0, 1, 1, 2, 3, 4, 2, 0, 3, 3, 1, 2, 1, 3, 3, 3, 3, 4, 0, 0, 2, 1, 1, 3, 1, 4, 0, 4, 3, 4, 2, 1, 1, 0, 3, 1, 3, 1, 4, 4, 2, 0, 3, 2, 2, 1, 2, 0, 4, 2, 1, 0, 4, 1, 2, 1, 2, 3, 4, 3, 4, 2, 2, 2, 4, 0, 4, 4, 1, 0, 2, 1, 2, 2, 1, 4, 1, 2, 4, 3, 3, 0, 1, 0, 0, 3, 1]
pubkeycol1307 = [1, 4, 4, 0, 1, 0, 1, 4, 0, 0, 0, 3, 4, 4, 1, 1, 3, 1, 4, 0, 4, 0, 3, 4, 3, 2, 2, 3, 2, 2, 0, 1, 2, 1, 1, 4, 0, 0, 2, 1, 2, 2, 4, 3, 0, 1, 0, 4, 3, 2, 1, 2, 2, 4, 4, 3, 2, 4, 1, 0, 3, 1, 4, 2, 0, 0, 1, 1, 4, 0, 2, 3, 0, 4, 2, 4, 2, 2, 0, 1, 2, 0, 3, 1, 0, 4, 1, 4, 2, 0, 1, 3, 3, 4, 1, 2, 4, 0, 1, 2, 1, 1, 3, 0, 3, 0, 3, 0, 0, 2, 1, 2, 1, 1, 1, 0, 4, 2, 2, 1, 2, 2, 2, 0, 4, 4, 3, 4, 0, 1, 0, 0, 1, 0, 3, 2, 0, 4, 4, 0, 2, 4, 0, 3, 4, 2, 3, 4, 0, 1, 1, 3, 1, 2, 2, 4, 4, 0, 0, 1, 4, 2, 0, 0, 2, 3, 1, 4, 2, 2, 4, 0, 3, 2, 4, 3, 0, 1, 2, 2, 4, 2, 1, 4, 2, 1, 4, 0, 1, 4, 3, 4, 4, 0, 1, 4, 1, 2, 0, 2, 0, 0, 1, 4, 4, 3, 0, 1, 2, 2, 2, 0, 3, 2, 3, 3, 1, 2, 0, 3, 0, 4, 3, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 4, 4, 3, 4, 3, 2, 4, 3, 4, 4, 0, 4, 3, 3, 1, 1, 3, 1, 4, 0, 1, 4, 2, 3, 4, 3, 1, 2, 1, 4, 4, 4, 0, 1, 2, 1, 0, 2, 0, 2, 0, 3, 3, 2, 1, 2, 0, 3, 0, 1, 0, 4, 4, 2, 2, 1, 3, 4, 4, 1, 1, 4, 3, 4, 1, 0, 0, 3, 1, 4, 4, 1, 4, 1, 3, 3, 4, 2, 4, 2, 3, 2, 2, 2, 1, 3, 0, 0, 4, 3, 0, 2, 2, 1, 0, 2, 4, 0, 2, 4, 1, 0, 1, 0, 1, 2, 1, 0, 0, 4, 3, 2, 3, 4, 0, 2, 0, 3, 3, 4, 0, 2, 2, 4, 4, 1, 1, 1, 2, 4, 1, 1, 0, 1, 3, 3, 3, 3, 4, 0, 3, 3, 2, 2, 2, 2, 4, 4, 4, 0, 3, 0, 0, 0, 4, 0, 0, 3, 1, 0, 2, 4, 2, 1, 2, 0, 4]
pubkeycol1308 = [2, 2, 3, 3, 1, 4, 2, 0, 4, 4, 0, 4, 4, 3, 4, 4, 3, 3, 4, 0, 2, 0, 1, 3, 3, 0, 3, 3, 0, 2, 2, 3, 1, 3, 0, 3, 1, 3, 4, 1, 4, 1, 0, 3, 4, 2, 2, 1, 0, 3, 3, 1, 4, 4, 3, 4, 1, 2, 0, 1, 4, 4, 4, 3, 2, 0, 4, 1, 2, 0, 4, 4, 0, 2, 1, 0, 4, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 4, 2, 4, 2, 0, 2, 1, 0, 0, 0, 4, 4, 2, 2, 2, 4, 3, 0, 4, 4, 0, 4, 4, 3, 0, 0, 1, 0, 3, 0, 3, 1, 4, 4, 3, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 3, 2, 3, 1, 2, 0, 2, 3, 4, 0, 3, 4, 0, 1, 2, 4, 1, 1, 4, 2, 4, 2, 3, 2, 3, 2, 2, 1, 1, 0, 0, 4, 3, 3, 0, 4, 4, 1, 2, 4, 0, 2, 4, 3, 3, 4, 1, 3, 4, 2, 2, 4, 0, 2, 0, 4, 3, 3, 2, 2, 4, 1, 2, 0, 4, 4, 3, 2, 4, 0, 1, 1, 2, 4, 4, 3, 0, 3, 0, 1, 4, 3, 3, 0, 4, 3, 0, 1, 0, 2, 3, 4, 1, 3, 1, 2, 1, 1, 0, 2, 0, 2, 2, 3, 3, 3, 4, 3, 2, 2, 3, 1, 3, 2, 1, 3, 0, 4, 0, 1, 0, 2, 4, 1, 2, 2, 1, 2, 4, 2, 0, 3, 2, 3, 3, 0, 2, 2, 0, 2, 2, 4, 3, 0, 1, 2, 0, 3, 1, 3, 2, 2, 1, 3, 2, 2, 3, 4, 3, 4, 4, 3, 3, 4, 3, 1, 3, 0, 0, 1, 3, 4, 0, 3, 0, 3, 0, 1, 4, 4, 0, 1, 2, 2, 3, 4, 4, 2, 1, 4, 2, 1, 4, 3, 3, 1, 2, 3, 2, 4, 1, 3, 3, 4, 4, 4, 0, 3, 2, 4, 2, 2, 3, 4, 3, 2, 3, 3, 1, 2, 4, 4, 0, 4, 1, 4, 3, 3, 4, 3, 3, 3, 0, 2, 4, 0, 1, 0, 2, 1, 4, 4, 0, 0, 0, 3, 4, 2, 1, 1, 1, 3, 3, 3, 2, 0, 1, 4, 1, 0, 2, 4, 2]
pubkeycol1309 = [0, 1, 3, 4, 0, 0, 0, 4, 4, 4, 1, 2, 4, 0, 1, 2, 1, 0, 2, 0, 3, 1, 0, 0, 1, 4, 0, 3, 1, 2, 1, 1, 2, 4, 2, 0, 0, 4, 4, 0, 2, 4, 1, 1, 0, 3, 4, 1, 2, 1, 2, 2, 4, 0, 0, 3, 2, 4, 4, 1, 1, 2, 0, 4, 4, 4, 2, 2, 2, 0, 3, 4, 1, 2, 2, 0, 2, 0, 2, 1, 3, 2, 4, 4, 4, 0, 2, 1, 0, 2, 2, 3, 4, 4, 0, 2, 0, 2, 3, 4, 0, 0, 0, 2, 3, 2, 3, 4, 1, 4, 2, 2, 1, 0, 2, 2, 4, 1, 1, 3, 2, 3, 1, 4, 4, 0, 4, 3, 1, 2, 3, 1, 3, 3, 4, 2, 1, 4, 0, 4, 4, 3, 4, 0, 3, 4, 1, 2, 2, 1, 0, 4, 3, 2, 2, 1, 2, 0, 4, 0, 1, 4, 2, 4, 4, 1, 0, 3, 1, 3, 4, 3, 2, 0, 0, 3, 0, 3, 0, 4, 4, 1, 1, 3, 3, 0, 3, 2, 1, 4, 1, 4, 4, 3, 1, 0, 1, 4, 3, 2, 3, 0, 3, 0, 3, 2, 2, 3, 0, 3, 1, 0, 4, 0, 0, 2, 4, 4, 3, 3, 3, 0, 2, 0, 4, 0, 4, 0, 3, 4, 3, 4, 1, 2, 4, 0, 4, 4, 0, 0, 1, 4, 0, 0, 2, 3, 2, 1, 4, 1, 1, 4, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 4, 0, 1, 3, 1, 0, 1, 2, 4, 2, 1, 3, 0, 0, 3, 2, 1, 2, 0, 4, 3, 3, 2, 3, 3, 0, 2, 0, 1, 1, 1, 3, 2, 1, 3, 0, 3, 1, 0, 1, 0, 3, 4, 4, 1, 1, 4, 1, 0, 4, 3, 0, 1, 1, 2, 3, 1, 1, 0, 1, 3, 4, 1, 2, 4, 2, 1, 4, 4, 1, 3, 1, 0, 4, 1, 3, 1, 2, 0, 3, 3, 3, 1, 1, 4, 0, 4, 1, 3, 3, 1, 3, 3, 1, 3, 4, 3, 3, 0, 3, 0, 3, 1, 3, 2, 3, 2, 4, 2, 4, 4, 4, 0, 2, 2, 3, 2, 1, 3, 4, 0, 4, 0, 0, 3, 4, 4, 1, 1, 3, 2, 1, 2, 1, 4, 1, 3, 0]
pubkeycol1310 = [0, 4, 2, 1, 1, 1, 1, 2, 1, 4, 3, 2, 3, 2, 1, 0, 2, 4, 0, 2, 0, 1, 0, 0, 1, 3, 0, 1, 2, 1, 0, 2, 3, 4, 4, 2, 1, 1, 0, 0, 0, 1, 3, 2, 3, 4, 3, 4, 4, 0, 4, 2, 4, 4, 3, 0, 2, 1, 4, 1, 0, 0, 3, 3, 4, 4, 4, 1, 1, 3, 3, 4, 4, 2, 3, 0, 1, 3, 4, 0, 1, 4, 0, 3, 1, 1, 3, 2, 1, 3, 1, 2, 2, 4, 1, 1, 1, 0, 3, 1, 0, 0, 2, 0, 2, 3, 3, 3, 4, 1, 1, 3, 1, 1, 3, 2, 1, 2, 3, 1, 4, 4, 3, 1, 3, 0, 3, 0, 0, 0, 3, 3, 4, 2, 3, 1, 4, 3, 1, 4, 0, 4, 3, 4, 3, 0, 1, 3, 4, 4, 2, 3, 0, 0, 3, 3, 4, 3, 0, 3, 3, 3, 3, 0, 2, 4, 3, 2, 2, 3, 3, 4, 0, 0, 4, 4, 3, 4, 4, 4, 4, 3, 4, 1, 1, 4, 1, 0, 2, 1, 0, 0, 4, 0, 4, 1, 2, 2, 0, 1, 4, 0, 1, 4, 4, 3, 3, 3, 4, 1, 0, 3, 0, 1, 1, 1, 3, 0, 4, 4, 2, 1, 4, 0, 2, 1, 3, 4, 4, 4, 4, 1, 1, 1, 2, 1, 3, 0, 4, 1, 0, 3, 3, 1, 4, 3, 4, 1, 2, 4, 4, 0, 2, 4, 2, 3, 2, 0, 4, 3, 4, 1, 3, 4, 1, 4, 4, 0, 4, 3, 0, 1, 0, 4, 3, 0, 2, 4, 4, 2, 3, 4, 4, 2, 0, 4, 0, 1, 2, 0, 1, 4, 3, 4, 1, 3, 1, 3, 0, 4, 4, 2, 0, 2, 3, 4, 4, 4, 0, 4, 4, 2, 0, 2, 0, 4, 2, 4, 0, 1, 1, 0, 3, 4, 2, 3, 3, 2, 0, 1, 4, 3, 2, 1, 3, 1, 3, 0, 4, 4, 1, 2, 0, 0, 1, 1, 4, 1, 4, 0, 0, 0, 0, 0, 3, 1, 4, 4, 3, 3, 4, 1, 0, 0, 0, 3, 3, 1, 3, 0, 2, 3, 1, 2, 2, 2, 3, 3, 3, 2, 3, 3, 0, 4, 0, 1, 2, 3, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0]
pubkeycol1311 = [3, 1, 0, 0, 0, 1, 2, 2, 3, 4, 1, 1, 4, 1, 2, 1, 2, 4, 0, 0, 4, 2, 0, 1, 0, 2, 1, 4, 2, 3, 4, 4, 2, 4, 2, 0, 2, 2, 1, 1, 4, 0, 3, 2, 3, 3, 0, 3, 2, 2, 1, 3, 1, 2, 2, 4, 4, 0, 0, 4, 4, 1, 2, 2, 1, 4, 1, 1, 4, 2, 2, 4, 3, 2, 0, 2, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 2, 1, 4, 1, 1, 2, 1, 2, 4, 2, 3, 3, 3, 1, 2, 4, 0, 1, 2, 3, 2, 4, 2, 1, 3, 1, 0, 0, 4, 0, 3, 0, 0, 4, 4, 2, 0, 1, 4, 2, 2, 2, 4, 0, 1, 4, 2, 0, 3, 2, 1, 1, 4, 3, 0, 3, 3, 0, 2, 4, 0, 2, 1, 4, 2, 4, 2, 4, 1, 0, 3, 1, 1, 0, 0, 2, 2, 1, 2, 1, 3, 1, 3, 1, 4, 3, 1, 0, 1, 4, 4, 3, 1, 3, 0, 1, 1, 0, 4, 2, 1, 2, 0, 3, 4, 1, 0, 3, 0, 4, 1, 0, 4, 0, 4, 1, 0, 3, 0, 0, 1, 1, 0, 0, 3, 2, 3, 1, 0, 0, 0, 2, 0, 1, 0, 3, 4, 1, 0, 1, 4, 4, 2, 4, 2, 3, 0, 0, 2, 0, 2, 2, 2, 2, 3, 1, 2, 0, 4, 0, 2, 4, 4, 1, 2, 2, 3, 0, 0, 0, 2, 0, 3, 1, 4, 2, 0, 1, 1, 0, 2, 2, 2, 2, 4, 3, 4, 0, 1, 0, 1, 4, 0, 4, 2, 3, 0, 2, 3, 0, 4, 0, 3, 4, 1, 2, 1, 2, 3, 3, 3, 4, 3, 4, 2, 2, 2, 4, 3, 4, 3, 4, 3, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 3, 2, 4, 2, 2, 1, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 0, 3, 4, 0, 1, 2, 3, 0, 2, 2, 0, 2, 2, 4, 0, 1, 1, 2, 0, 3, 4, 3, 4, 3, 3, 0, 1, 4, 1, 3, 3, 0, 4, 4, 3, 0, 4, 0, 0, 3, 2, 4, 1, 0, 4, 2, 0, 3, 2, 2, 0, 2, 4, 0, 3, 4, 1, 0, 1, 3, 3, 0]
pubkeycol1312 = [4, 2, 1, 3, 1, 3, 0, 3, 4, 0, 2, 4, 4, 3, 1, 2, 3, 1, 4, 0, 2, 3, 1, 4, 3, 1, 3, 4, 0, 3, 1, 1, 4, 4, 2, 2, 2, 0, 1, 4, 3, 4, 4, 1, 0, 2, 4, 3, 3, 4, 1, 1, 1, 4, 3, 4, 4, 3, 0, 2, 1, 0, 4, 2, 2, 3, 4, 2, 3, 2, 4, 1, 3, 0, 3, 0, 3, 2, 3, 0, 2, 3, 0, 2, 3, 3, 2, 4, 1, 3, 0, 2, 4, 1, 2, 2, 1, 4, 1, 1, 2, 2, 4, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 3, 4, 0, 1, 0, 0, 2, 4, 0, 0, 2, 2, 3, 1, 2, 3, 3, 2, 1, 1, 1, 1, 4, 3, 3, 2, 4, 3, 2, 4, 3, 2, 2, 4, 0, 2, 2, 2, 2, 4, 1, 4, 1, 2, 0, 2, 4, 1, 1, 1, 4, 0, 2, 4, 0, 1, 2, 1, 3, 2, 3, 1, 4, 3, 1, 0, 3, 4, 0, 2, 3, 4, 3, 2, 0, 3, 4, 0, 2, 1, 0, 4, 1, 2, 3, 4, 2, 1, 3, 3, 3, 4, 2, 3, 0, 4, 2, 2, 4, 4, 2, 0, 4, 0, 3, 1, 2, 4, 3, 0, 4, 1, 0, 0, 4, 0, 3, 1, 1, 1, 4, 4, 4, 4, 4, 4, 1, 0, 1, 2, 0, 1, 4, 3, 0, 4, 2, 0, 3, 1, 3, 4, 1, 2, 0, 2, 4, 4, 1, 3, 4, 0, 0, 3, 1, 3, 3, 0, 1, 1, 2, 3, 2, 3, 4, 4, 0, 0, 3, 0, 0, 4, 1, 0, 0, 2, 3, 1, 2, 2, 2, 2, 0, 3, 4, 3, 0, 0, 0, 3, 2, 2, 3, 2, 1, 4, 3, 0, 3, 2, 2, 1, 4, 2, 1, 2, 2, 0, 2, 3, 0, 4, 4, 1, 4, 2, 2, 3, 1, 3, 4, 1, 4, 4, 1, 2, 4, 2, 0, 0, 0, 0, 3, 2, 4, 0, 1, 2, 3, 0, 1, 0, 3, 1, 3, 0, 4, 4, 2, 3, 2, 4, 4, 0, 0, 0, 1, 3, 1, 1, 4, 4, 4, 3, 1, 3, 3, 0, 1, 2, 3, 1, 4, 4, 4, 3, 4, 4, 1, 2, 2, 0, 1, 3, 1]
pubkeycol1313 = [4, 4, 4, 2, 3, 4, 1, 3, 4, 3, 4, 1, 1, 4, 1, 0, 3, 4, 4, 0, 4, 2, 1, 0, 1, 3, 1, 1, 1, 1, 4, 3, 4, 1, 1, 2, 0, 2, 3, 1, 3, 0, 0, 1, 0, 2, 1, 4, 2, 3, 4, 3, 4, 1, 1, 4, 0, 3, 2, 1, 3, 1, 3, 3, 4, 0, 4, 0, 3, 1, 0, 4, 2, 1, 2, 3, 3, 3, 2, 0, 1, 0, 1, 2, 2, 0, 4, 3, 1, 2, 2, 3, 1, 2, 0, 4, 2, 2, 2, 0, 2, 2, 3, 0, 3, 1, 3, 2, 1, 1, 3, 3, 4, 1, 2, 4, 3, 1, 2, 0, 3, 0, 1, 3, 4, 4, 4, 2, 0, 0, 0, 4, 3, 0, 0, 3, 1, 2, 1, 0, 4, 1, 3, 0, 4, 2, 4, 2, 3, 1, 2, 2, 3, 0, 4, 0, 3, 1, 2, 3, 0, 4, 3, 1, 1, 0, 4, 2, 4, 1, 0, 4, 2, 0, 2, 3, 2, 2, 2, 2, 4, 1, 3, 0, 2, 1, 2, 0, 4, 0, 0, 2, 0, 1, 2, 0, 3, 1, 4, 1, 1, 3, 2, 4, 2, 4, 1, 4, 2, 4, 3, 0, 0, 4, 3, 0, 2, 4, 1, 4, 1, 2, 0, 3, 1, 0, 3, 1, 3, 1, 2, 1, 2, 0, 4, 4, 3, 0, 0, 2, 4, 0, 0, 4, 2, 1, 2, 1, 1, 2, 4, 1, 2, 2, 3, 1, 1, 4, 3, 0, 4, 3, 1, 3, 1, 1, 2, 0, 4, 3, 1, 0, 1, 0, 2, 3, 2, 3, 3, 1, 1, 2, 1, 4, 0, 2, 0, 0, 0, 3, 2, 1, 1, 1, 0, 1, 0, 3, 4, 4, 3, 3, 2, 1, 0, 3, 4, 0, 4, 4, 0, 0, 1, 3, 1, 2, 0, 1, 3, 4, 2, 1, 0, 3, 4, 4, 3, 3, 4, 1, 3, 1, 3, 0, 4, 1, 2, 2, 0, 3, 0, 1, 3, 3, 4, 1, 0, 0, 4, 0, 0, 0, 3, 4, 3, 3, 0, 2, 3, 2, 0, 3, 2, 2, 4, 3, 0, 3, 1, 1, 3, 3, 1, 0, 1, 2, 4, 4, 1, 1, 3, 2, 2, 0, 0, 4, 1, 0, 4, 3, 1, 3, 2, 3, 2, 4, 4, 0, 3, 1]
pubkeycol1314 = [3, 4, 4, 3, 2, 0, 4, 4, 2, 2, 0, 0, 2, 1, 2, 3, 3, 4, 4, 4, 2, 2, 2, 1, 3, 3, 0, 3, 2, 0, 3, 0, 4, 1, 0, 1, 3, 3, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 4, 0, 1, 2, 1, 2, 3, 4, 3, 2, 4, 4, 4, 3, 1, 0, 0, 1, 3, 0, 1, 3, 3, 3, 4, 0, 1, 0, 0, 2, 0, 3, 3, 4, 2, 3, 2, 1, 4, 0, 1, 3, 1, 4, 3, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 4, 4, 1, 2, 2, 3, 4, 1, 4, 0, 2, 3, 3, 1, 0, 3, 2, 2, 1, 2, 4, 3, 0, 4, 1, 3, 4, 3, 4, 2, 2, 1, 1, 1, 3, 0, 4, 4, 4, 1, 1, 3, 2, 3, 3, 1, 2, 4, 2, 4, 3, 1, 3, 0, 3, 2, 2, 1, 4, 0, 4, 0, 3, 0, 3, 0, 4, 0, 3, 3, 3, 1, 0, 2, 0, 2, 2, 3, 2, 1, 2, 1, 0, 4, 3, 0, 2, 1, 4, 2, 4, 1, 3, 2, 0, 4, 4, 1, 3, 4, 4, 2, 3, 1, 0, 2, 4, 0, 1, 2, 4, 2, 0, 0, 1, 3, 3, 4, 1, 2, 4, 0, 4, 4, 3, 0, 0, 2, 0, 3, 4, 1, 2, 0, 0, 2, 4, 2, 4, 2, 4, 0, 0, 2, 0, 3, 3, 1, 2, 2, 1, 0, 0, 4, 1, 2, 4, 4, 1, 3, 0, 1, 1, 0, 2, 2, 4, 1, 2, 0, 2, 4, 0, 1, 4, 3, 2, 3, 1, 2, 0, 2, 3, 2, 4, 2, 1, 0, 4, 4, 0, 0, 2, 3, 0, 4, 1, 2, 4, 2, 0, 3, 4, 1, 0, 3, 1, 2, 3, 2, 4, 0, 0, 4, 3, 1, 1, 4, 3, 2, 2, 2, 0, 0, 1, 0, 1, 4, 1, 1, 0, 3, 0, 2, 0, 3, 2, 3, 1, 3, 1, 0, 2, 4, 4, 2, 4, 0, 3, 3, 3, 4, 4, 3, 1, 2, 4, 3, 4, 2, 0, 4, 4, 4, 1, 0, 2, 4, 1, 4, 2, 2, 4, 4, 1, 3, 0, 3, 3, 2, 4, 1, 2, 4, 2, 3, 1, 3]
pubkeycol1315 = [1, 3, 4, 0, 1, 3, 3, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 4, 1, 4, 1, 0, 1, 2, 4, 4, 2, 0, 3, 3, 1, 0, 2, 3, 1, 3, 4, 4, 0, 3, 0, 1, 4, 3, 1, 3, 1, 4, 4, 4, 4, 3, 2, 1, 2, 3, 3, 0, 3, 1, 3, 2, 3, 3, 2, 1, 1, 0, 1, 2, 2, 1, 2, 4, 2, 4, 4, 3, 0, 1, 2, 2, 4, 4, 4, 3, 2, 4, 2, 4, 0, 4, 1, 4, 2, 1, 4, 2, 0, 4, 4, 1, 1, 4, 1, 4, 2, 2, 2, 0, 1, 4, 4, 4, 1, 1, 1, 2, 3, 1, 0, 2, 2, 1, 2, 3, 3, 0, 3, 2, 0, 2, 4, 3, 4, 2, 1, 0, 0, 3, 1, 3, 3, 3, 1, 3, 0, 2, 2, 4, 4, 3, 2, 2, 4, 4, 4, 2, 2, 2, 0, 0, 0, 1, 3, 3, 1, 3, 1, 1, 3, 3, 0, 1, 3, 3, 0, 4, 0, 4, 4, 0, 1, 1, 2, 3, 3, 0, 1, 0, 4, 2, 2, 2, 2, 2, 1, 4, 1, 3, 2, 4, 2, 4, 1, 2, 0, 2, 4, 4, 1, 2, 2, 0, 1, 4, 2, 1, 0, 3, 3, 2, 3, 4, 4, 1, 4, 4, 2, 3, 4, 0, 0, 3, 3, 3, 4, 0, 4, 2, 1, 1, 3, 1, 3, 4, 2, 0, 1, 3, 1, 3, 3, 0, 1, 4, 3, 1, 4, 1, 1, 3, 3, 0, 2, 3, 2, 1, 3, 4, 1, 0, 3, 4, 0, 4, 1, 0, 4, 4, 4, 4, 3, 2, 4, 1, 0, 0, 1, 4, 0, 4, 2, 2, 0, 0, 4, 0, 0, 1, 1, 2, 2, 2, 4, 1, 3, 1, 4, 2, 0, 2, 4, 3, 3, 1, 1, 0, 2, 0, 2, 0, 4, 0, 4, 4, 0, 3, 2, 3, 4, 3, 0, 4, 1, 0, 3, 0, 4, 0, 0, 0, 0, 3, 2, 1, 0, 3, 0, 3, 1, 4, 0, 4, 4, 3, 4, 1, 1, 2, 1, 4, 3, 3, 3, 4, 4, 0, 4, 0, 1, 2, 2, 4, 0, 1, 2, 4, 3, 1, 2, 0, 3, 0, 0, 1, 4, 2, 4, 0, 4, 2, 3, 3, 2, 3, 3, 0, 4, 1]
pubkeycol1316 = [3, 4, 2, 4, 3, 0, 0, 4, 2, 4, 0, 0, 0, 1, 4, 3, 0, 1, 0, 1, 4, 3, 0, 0, 0, 3, 1, 2, 2, 2, 2, 0, 1, 3, 4, 2, 1, 2, 2, 2, 0, 2, 2, 4, 4, 0, 4, 4, 2, 1, 1, 1, 2, 4, 1, 0, 1, 0, 2, 4, 1, 0, 0, 2, 2, 3, 4, 2, 3, 2, 0, 2, 0, 3, 2, 3, 1, 2, 1, 3, 0, 2, 3, 3, 3, 3, 4, 2, 4, 1, 4, 4, 1, 4, 2, 3, 2, 4, 0, 2, 4, 4, 3, 3, 4, 3, 1, 2, 2, 3, 3, 3, 4, 0, 2, 0, 1, 1, 3, 3, 2, 0, 2, 1, 3, 2, 3, 0, 3, 3, 0, 0, 0, 1, 1, 3, 3, 0, 0, 4, 3, 4, 4, 0, 1, 1, 3, 4, 2, 3, 3, 2, 4, 4, 2, 1, 1, 3, 4, 4, 0, 1, 0, 4, 3, 4, 0, 0, 4, 4, 4, 4, 4, 1, 2, 4, 3, 1, 3, 1, 0, 4, 0, 3, 2, 4, 1, 3, 3, 4, 1, 2, 1, 2, 3, 3, 0, 3, 0, 0, 2, 2, 3, 3, 1, 0, 2, 1, 1, 3, 3, 3, 3, 4, 2, 1, 3, 2, 2, 3, 3, 1, 2, 1, 2, 0, 0, 4, 4, 4, 2, 3, 3, 0, 3, 3, 1, 1, 4, 2, 1, 2, 3, 0, 4, 0, 2, 1, 0, 3, 3, 2, 1, 1, 0, 1, 3, 0, 2, 1, 2, 4, 4, 3, 2, 4, 1, 0, 4, 3, 4, 4, 2, 0, 0, 2, 3, 2, 4, 0, 1, 1, 3, 4, 4, 0, 1, 1, 1, 1, 2, 0, 0, 1, 3, 2, 0, 3, 4, 3, 3, 0, 2, 0, 2, 3, 2, 3, 2, 2, 2, 2, 0, 1, 1, 3, 0, 4, 0, 1, 0, 3, 3, 4, 1, 2, 2, 4, 4, 4, 4, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 3, 1, 4, 0, 4, 3, 2, 3, 0, 3, 1, 3, 4, 4, 3, 1, 0, 4, 0, 1, 3, 0, 2, 1, 4, 1, 0, 4, 4, 0, 0, 1, 0, 2, 0, 3, 2, 3, 4, 2, 1, 0, 0, 1, 1, 0, 3, 1, 0, 1, 4, 1, 1, 3, 2, 0, 1, 4, 1]
pubkeycol1317 = [1, 0, 1, 0, 0, 1, 2, 3, 4, 1, 0, 3, 0, 2, 2, 3, 1, 3, 4, 1, 4, 2, 1, 3, 2, 0, 0, 2, 2, 2, 0, 2, 3, 1, 2, 3, 2, 1, 0, 4, 4, 4, 3, 0, 1, 1, 4, 1, 1, 4, 3, 3, 0, 0, 0, 4, 0, 2, 3, 0, 1, 2, 1, 2, 1, 1, 1, 0, 3, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 4, 0, 0, 2, 2, 1, 1, 2, 3, 1, 0, 0, 3, 4, 1, 3, 0, 2, 3, 1, 0, 4, 0, 2, 3, 3, 4, 2, 3, 4, 0, 3, 2, 4, 2, 2, 4, 2, 1, 2, 0, 0, 4, 4, 2, 3, 3, 1, 1, 0, 3, 0, 4, 3, 3, 2, 2, 4, 4, 3, 4, 2, 2, 4, 0, 0, 3, 4, 3, 0, 2, 3, 1, 2, 1, 1, 2, 4, 1, 4, 3, 3, 0, 1, 2, 1, 3, 1, 4, 2, 2, 1, 0, 1, 0, 2, 4, 3, 2, 2, 3, 3, 0, 4, 2, 1, 4, 3, 1, 1, 3, 1, 4, 3, 3, 1, 1, 2, 3, 1, 1, 0, 3, 1, 0, 4, 3, 3, 3, 2, 4, 1, 2, 3, 4, 0, 3, 4, 2, 4, 1, 4, 2, 3, 1, 4, 1, 1, 2, 4, 4, 2, 4, 1, 2, 1, 4, 4, 0, 3, 1, 2, 1, 1, 0, 0, 3, 1, 0, 0, 4, 0, 4, 2, 3, 0, 3, 4, 3, 2, 0, 0, 2, 4, 1, 3, 2, 4, 0, 0, 1, 3, 4, 0, 1, 2, 4, 3, 0, 0, 1, 4, 4, 1, 3, 1, 0, 3, 2, 3, 1, 2, 4, 4, 4, 4, 3, 0, 2, 4, 2, 2, 3, 3, 4, 2, 0, 4, 4, 1, 3, 0, 1, 3, 2, 2, 2, 0, 4, 1, 2, 4, 0, 3, 2, 1, 3, 3, 2, 3, 4, 3, 4, 3, 1, 0, 0, 0, 1, 1, 2, 4, 4, 3, 4, 0, 2, 0, 0, 0, 3, 1, 3, 0, 3, 1, 3, 3, 4, 1, 3, 3, 2, 1, 1, 2, 3, 0, 2, 3, 3, 4, 4, 0, 2, 2, 0, 4, 2, 0, 4, 0, 0, 1, 0, 2, 0, 0, 0, 0, 4, 3, 4, 2, 4, 1, 4, 0, 0, 2, 2]
pubkeycol1318 = [2, 3, 3, 3, 4, 2, 0, 0, 3, 2, 1, 3, 4, 0, 2, 2, 2, 0, 3, 3, 0, 3, 4, 2, 0, 2, 1, 1, 3, 0, 3, 1, 1, 1, 2, 4, 3, 4, 1, 4, 4, 0, 2, 4, 3, 0, 2, 3, 4, 0, 2, 4, 0, 4, 4, 2, 3, 4, 3, 3, 3, 4, 0, 3, 4, 1, 2, 4, 1, 2, 1, 1, 0, 1, 3, 3, 1, 0, 4, 2, 1, 1, 2, 1, 3, 1, 4, 4, 4, 4, 2, 2, 2, 2, 1, 4, 2, 2, 3, 1, 0, 1, 0, 4, 0, 1, 0, 1, 1, 4, 1, 3, 2, 3, 1, 3, 1, 0, 2, 2, 1, 3, 3, 4, 0, 1, 1, 3, 0, 2, 4, 3, 0, 1, 0, 4, 4, 0, 0, 4, 1, 3, 3, 3, 0, 3, 1, 1, 3, 2, 1, 3, 1, 1, 4, 2, 4, 4, 3, 2, 2, 4, 0, 3, 2, 0, 4, 4, 1, 1, 0, 2, 3, 1, 1, 0, 3, 1, 4, 3, 2, 3, 0, 1, 4, 1, 2, 0, 4, 0, 2, 4, 4, 0, 4, 3, 0, 1, 1, 4, 1, 3, 1, 4, 2, 3, 3, 4, 2, 0, 3, 1, 1, 3, 0, 2, 3, 1, 2, 4, 2, 3, 2, 2, 3, 0, 4, 2, 3, 4, 4, 4, 1, 1, 3, 4, 3, 4, 4, 2, 4, 0, 4, 2, 4, 1, 2, 0, 3, 4, 3, 0, 1, 0, 1, 3, 0, 2, 4, 0, 3, 3, 4, 4, 2, 4, 0, 3, 2, 4, 4, 2, 1, 2, 3, 2, 1, 3, 1, 2, 0, 4, 2, 2, 4, 0, 4, 2, 3, 4, 3, 2, 0, 2, 3, 0, 2, 0, 1, 0, 2, 2, 2, 2, 3, 1, 0, 4, 4, 0, 3, 1, 1, 4, 0, 0, 3, 3, 3, 0, 1, 3, 1, 1, 0, 1, 1, 4, 3, 4, 0, 2, 3, 1, 3, 0, 1, 4, 4, 1, 2, 3, 2, 2, 1, 0, 0, 4, 4, 0, 3, 3, 1, 1, 4, 0, 4, 4, 2, 3, 1, 2, 2, 1, 4, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 2, 1, 0, 2, 3, 3, 0, 1, 4, 3, 3, 2, 1, 3, 3, 1, 0, 1, 4, 3, 2, 4, 0, 2, 2]
pubkeycol1319 = [3, 2, 2, 1, 1, 4, 2, 4, 1, 3, 0, 1, 0, 3, 0, 1, 3, 0, 2, 2, 4, 1, 2, 4, 0, 3, 2, 2, 1, 1, 3, 3, 0, 4, 2, 0, 1, 1, 4, 1, 1, 3, 3, 0, 0, 0, 4, 2, 3, 0, 4, 1, 0, 4, 3, 1, 3, 0, 2, 4, 4, 1, 3, 2, 0, 3, 1, 2, 0, 2, 3, 2, 4, 3, 2, 2, 0, 0, 1, 4, 3, 2, 3, 1, 2, 3, 1, 0, 4, 0, 2, 2, 1, 1, 1, 0, 4, 0, 1, 3, 1, 0, 1, 4, 0, 3, 0, 3, 3, 3, 4, 1, 3, 1, 3, 1, 4, 0, 4, 1, 4, 1, 0, 3, 2, 4, 0, 1, 1, 0, 2, 3, 3, 0, 1, 3, 3, 2, 3, 1, 1, 0, 4, 4, 0, 2, 4, 2, 3, 0, 1, 3, 2, 3, 4, 4, 1, 3, 2, 0, 0, 4, 1, 2, 3, 2, 3, 4, 1, 3, 1, 4, 0, 1, 0, 1, 1, 2, 0, 3, 2, 1, 0, 4, 0, 1, 4, 1, 4, 3, 4, 4, 3, 4, 2, 3, 1, 2, 0, 1, 4, 3, 4, 1, 4, 0, 3, 0, 4, 3, 1, 4, 0, 1, 1, 1, 4, 4, 4, 1, 0, 1, 1, 4, 4, 2, 0, 0, 0, 4, 0, 4, 3, 4, 0, 1, 4, 2, 2, 3, 4, 4, 0, 4, 1, 0, 2, 1, 2, 4, 1, 3, 0, 1, 2, 1, 4, 0, 1, 4, 1, 0, 0, 4, 4, 0, 3, 2, 2, 4, 1, 1, 2, 1, 3, 3, 3, 0, 3, 4, 4, 4, 0, 4, 2, 4, 1, 3, 0, 0, 1, 0, 0, 3, 0, 1, 0, 3, 0, 1, 4, 0, 3, 2, 2, 3, 2, 3, 4, 3, 2, 0, 1, 0, 2, 3, 4, 1, 4, 1, 0, 3, 1, 1, 3, 1, 4, 1, 1, 0, 0, 2, 4, 1, 3, 1, 0, 2, 3, 0, 1, 1, 2, 0, 1, 1, 3, 0, 3, 4, 0, 3, 3, 0, 3, 2, 4, 4, 0, 0, 3, 2, 2, 2, 2, 3, 2, 3, 3, 0, 0, 0, 4, 2, 2, 2, 0, 3, 3, 4, 1, 2, 4, 1, 2, 0, 0, 2, 1, 2, 4, 2, 4, 2, 0, 0, 0, 0, 4, 4]
pubkeycol1320 = [3, 4, 4, 0, 3, 1, 0, 3, 0, 0, 1, 2, 2, 2, 0, 3, 0, 0, 3, 1, 0, 3, 2, 3, 0, 4, 0, 0, 1, 3, 3, 2, 3, 0, 0, 0, 4, 0, 3, 0, 4, 4, 0, 1, 1, 2, 1, 3, 2, 1, 1, 0, 1, 3, 0, 2, 1, 3, 1, 2, 1, 2, 0, 2, 1, 3, 1, 2, 2, 2, 2, 0, 4, 0, 4, 4, 2, 3, 4, 4, 2, 4, 2, 3, 0, 3, 3, 0, 4, 4, 1, 3, 2, 1, 4, 1, 3, 3, 4, 1, 3, 1, 1, 3, 4, 0, 0, 3, 1, 1, 4, 3, 3, 4, 4, 4, 1, 1, 3, 0, 1, 3, 3, 4, 4, 0, 2, 4, 1, 0, 3, 4, 0, 4, 0, 2, 4, 0, 2, 4, 2, 0, 3, 1, 0, 2, 1, 0, 0, 2, 4, 1, 2, 0, 3, 3, 3, 0, 1, 4, 3, 3, 4, 4, 0, 2, 1, 4, 4, 0, 3, 0, 1, 0, 4, 0, 3, 2, 2, 3, 2, 0, 4, 1, 2, 1, 0, 2, 2, 2, 0, 3, 4, 0, 1, 4, 3, 0, 1, 0, 3, 1, 3, 0, 4, 0, 4, 1, 4, 4, 2, 3, 0, 0, 2, 1, 1, 0, 0, 2, 3, 1, 2, 2, 4, 0, 4, 4, 3, 0, 2, 4, 3, 2, 0, 1, 0, 2, 3, 3, 2, 3, 3, 2, 2, 3, 4, 4, 4, 1, 1, 3, 0, 2, 2, 0, 1, 2, 4, 2, 2, 4, 1, 0, 4, 1, 2, 1, 4, 0, 0, 4, 1, 0, 4, 3, 0, 0, 3, 2, 2, 4, 3, 3, 3, 4, 1, 3, 2, 1, 2, 3, 3, 0, 3, 0, 1, 3, 3, 1, 3, 4, 0, 0, 3, 4, 3, 3, 2, 3, 2, 1, 1, 0, 1, 4, 4, 1, 0, 3, 2, 0, 1, 4, 4, 2, 1, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 3, 2, 3, 2, 4, 2, 2, 2, 3, 4, 2, 0, 1, 1, 1, 2, 1, 3, 2, 2, 1, 2, 4, 2, 0, 3, 2, 3, 2, 2, 0, 1, 0, 0, 0, 3, 2, 4, 0, 4, 1, 4, 1, 3, 3, 4, 1, 1, 2, 3, 1, 0, 0, 2, 3, 2, 3, 0, 1, 3]
pubkeycol1321 = [2, 3, 3, 1, 4, 0, 1, 4, 2, 2, 4, 4, 0, 2, 3, 1, 4, 0, 4, 0, 4, 1, 3, 0, 1, 1, 2, 0, 0, 4, 4, 4, 3, 3, 0, 4, 2, 1, 0, 2, 0, 2, 3, 3, 0, 3, 0, 4, 4, 4, 3, 2, 0, 4, 2, 1, 0, 2, 1, 4, 3, 2, 1, 4, 1, 3, 4, 3, 3, 0, 1, 1, 1, 1, 2, 3, 0, 4, 0, 4, 0, 1, 4, 2, 1, 4, 0, 0, 3, 1, 1, 1, 0, 0, 1, 2, 4, 0, 4, 4, 4, 4, 1, 0, 2, 3, 1, 3, 0, 3, 1, 2, 4, 2, 2, 4, 2, 3, 4, 0, 3, 0, 2, 3, 1, 4, 2, 2, 1, 3, 2, 2, 4, 4, 1, 2, 3, 4, 2, 0, 3, 0, 0, 0, 0, 2, 4, 3, 3, 4, 3, 2, 1, 0, 4, 2, 4, 1, 0, 1, 2, 3, 4, 2, 4, 4, 3, 1, 3, 2, 1, 2, 0, 3, 4, 4, 0, 3, 1, 2, 0, 0, 4, 0, 4, 2, 3, 4, 4, 0, 1, 4, 1, 0, 0, 0, 1, 4, 1, 3, 0, 1, 0, 0, 4, 3, 0, 3, 3, 4, 4, 3, 4, 3, 2, 1, 1, 1, 1, 0, 2, 1, 3, 2, 3, 4, 0, 1, 2, 1, 0, 2, 4, 0, 2, 3, 3, 1, 1, 2, 1, 4, 1, 2, 0, 3, 2, 3, 4, 0, 2, 2, 2, 1, 0, 0, 3, 0, 1, 0, 3, 0, 2, 1, 2, 0, 4, 2, 0, 2, 4, 3, 1, 4, 3, 3, 0, 2, 3, 0, 2, 4, 3, 4, 2, 2, 0, 3, 0, 0, 4, 0, 2, 3, 2, 2, 0, 3, 1, 0, 2, 3, 0, 2, 4, 3, 2, 1, 4, 4, 2, 0, 3, 2, 3, 2, 3, 1, 3, 0, 3, 1, 3, 4, 4, 3, 0, 2, 3, 2, 3, 3, 3, 1, 4, 1, 1, 3, 2, 2, 2, 2, 3, 0, 4, 3, 2, 3, 0, 1, 1, 1, 0, 2, 3, 2, 1, 0, 4, 3, 3, 1, 1, 1, 4, 4, 3, 1, 2, 2, 1, 0, 3, 2, 3, 3, 0, 1, 1, 2, 0, 0, 2, 1, 4, 4, 4, 2, 3, 2, 4, 4, 3, 2, 3, 1, 0, 1, 0, 3]
pubkeycol1322 = [0, 0, 4, 3, 0, 2, 4, 1, 4, 4, 0, 1, 4, 0, 3, 3, 0, 2, 1, 4, 1, 4, 0, 1, 3, 3, 0, 0, 1, 3, 1, 0, 0, 2, 2, 2, 2, 3, 3, 3, 0, 2, 4, 0, 3, 2, 3, 2, 1, 1, 4, 3, 0, 3, 0, 4, 4, 4, 3, 3, 2, 1, 2, 2, 0, 1, 2, 0, 2, 4, 4, 0, 2, 0, 1, 4, 1, 0, 1, 4, 0, 1, 4, 3, 2, 2, 3, 1, 0, 2, 1, 3, 3, 2, 2, 1, 2, 2, 3, 4, 1, 4, 0, 3, 4, 4, 4, 1, 0, 1, 0, 4, 0, 2, 4, 2, 3, 0, 1, 2, 0, 1, 0, 4, 1, 1, 3, 4, 4, 1, 1, 0, 3, 2, 1, 3, 1, 4, 0, 4, 4, 2, 3, 4, 3, 0, 4, 1, 4, 1, 4, 4, 0, 4, 0, 4, 0, 4, 3, 3, 3, 3, 4, 4, 1, 4, 1, 1, 2, 2, 2, 3, 1, 2, 2, 0, 0, 2, 3, 3, 1, 3, 2, 4, 4, 0, 0, 2, 2, 0, 3, 0, 0, 4, 4, 0, 4, 4, 0, 1, 1, 2, 1, 0, 4, 0, 4, 4, 2, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 0, 1, 3, 2, 0, 2, 0, 2, 4, 1, 1, 1, 2, 3, 0, 1, 3, 4, 2, 1, 1, 4, 3, 2, 0, 4, 2, 0, 4, 1, 3, 4, 2, 1, 2, 4, 1, 2, 2, 1, 1, 1, 4, 1, 3, 2, 3, 4, 0, 3, 2, 3, 0, 0, 1, 1, 2, 2, 2, 4, 4, 3, 0, 0, 0, 0, 1, 3, 0, 2, 1, 2, 3, 2, 2, 4, 4, 1, 2, 3, 0, 1, 4, 4, 3, 3, 1, 4, 1, 1, 3, 4, 1, 1, 0, 1, 3, 4, 0, 4, 2, 4, 4, 1, 2, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 1, 1, 4, 4, 2, 3, 1, 3, 1, 2, 4, 0, 0, 1, 1, 1, 3, 3, 4, 3, 3, 3, 1, 2, 1, 3, 0, 2, 1, 4, 2, 2, 3, 0, 4, 2, 4, 1, 1, 2, 4, 1, 3, 0, 0, 1, 0, 1, 1, 3, 1, 1, 4, 2, 1, 2, 4, 3, 0, 2, 0, 3, 3, 3, 1]
pubkeycol1323 = [4, 2, 3, 1, 4, 0, 1, 0, 1, 2, 3, 2, 4, 1, 1, 4, 4, 4, 4, 0, 0, 3, 1, 0, 1, 4, 2, 2, 3, 1, 1, 0, 4, 4, 1, 1, 0, 0, 2, 0, 0, 3, 4, 4, 3, 1, 1, 4, 4, 0, 4, 2, 3, 0, 1, 4, 2, 3, 1, 0, 2, 3, 0, 2, 1, 4, 4, 4, 4, 2, 3, 1, 4, 4, 1, 4, 0, 0, 2, 0, 3, 4, 4, 4, 0, 1, 3, 0, 4, 0, 3, 0, 1, 4, 3, 3, 1, 1, 2, 2, 4, 2, 4, 0, 4, 4, 4, 0, 3, 2, 3, 0, 1, 0, 3, 1, 3, 0, 3, 4, 4, 3, 3, 0, 0, 4, 3, 1, 0, 3, 4, 0, 0, 2, 3, 3, 4, 0, 2, 4, 3, 1, 3, 4, 1, 0, 2, 2, 1, 0, 1, 3, 1, 1, 3, 3, 0, 3, 4, 2, 0, 1, 1, 0, 1, 4, 3, 4, 4, 0, 4, 1, 0, 1, 3, 4, 3, 1, 2, 4, 4, 3, 0, 2, 3, 1, 1, 4, 1, 0, 0, 4, 1, 0, 4, 1, 4, 4, 1, 0, 4, 4, 0, 0, 4, 4, 3, 3, 4, 1, 3, 3, 3, 1, 1, 2, 0, 0, 0, 4, 2, 3, 1, 4, 1, 3, 1, 2, 1, 0, 0, 3, 3, 2, 1, 0, 0, 4, 3, 2, 2, 4, 3, 4, 4, 0, 0, 4, 3, 0, 1, 2, 4, 3, 4, 2, 0, 4, 0, 0, 0, 1, 2, 1, 0, 3, 1, 3, 2, 1, 0, 4, 4, 0, 1, 1, 3, 0, 2, 0, 0, 4, 3, 2, 3, 1, 0, 0, 2, 1, 3, 4, 4, 1, 3, 2, 1, 2, 2, 4, 1, 3, 1, 1, 1, 1, 0, 0, 0, 0, 4, 3, 3, 0, 1, 3, 0, 1, 3, 4, 3, 0, 3, 3, 4, 1, 2, 0, 0, 2, 1, 1, 2, 4, 2, 4, 4, 1, 2, 4, 2, 3, 1, 3, 4, 2, 3, 0, 0, 1, 4, 1, 3, 0, 0, 2, 4, 0, 4, 1, 1, 4, 0, 4, 4, 4, 0, 0, 4, 0, 2, 0, 4, 1, 3, 3, 0, 4, 1, 4, 0, 3, 4, 3, 2, 0, 2, 3, 4, 0, 2, 0, 2, 2, 4, 1, 0, 0, 2, 3]
pubkeycol1324 = [3, 3, 4, 1, 1, 2, 3, 4, 1, 4, 1, 2, 3, 3, 0, 2, 2, 2, 3, 4, 0, 0, 2, 2, 1, 0, 3, 2, 2, 2, 0, 1, 4, 1, 4, 3, 0, 4, 1, 4, 0, 3, 0, 1, 0, 1, 0, 2, 1, 1, 0, 3, 0, 0, 2, 3, 1, 2, 2, 3, 4, 0, 2, 1, 4, 4, 1, 1, 4, 0, 4, 2, 3, 3, 0, 3, 0, 3, 1, 3, 0, 0, 1, 4, 1, 3, 4, 3, 2, 0, 3, 0, 4, 3, 0, 1, 0, 2, 0, 0, 2, 3, 2, 3, 0, 0, 1, 3, 3, 1, 4, 4, 3, 2, 1, 3, 3, 0, 1, 2, 4, 2, 4, 4, 2, 0, 0, 4, 3, 0, 0, 3, 1, 1, 0, 4, 3, 0, 0, 0, 1, 3, 4, 2, 2, 2, 1, 4, 3, 0, 2, 3, 3, 3, 0, 0, 2, 3, 4, 2, 0, 3, 3, 2, 2, 4, 4, 4, 0, 4, 1, 1, 4, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 4, 1, 2, 3, 0, 4, 0, 0, 2, 4, 4, 0, 0, 2, 3, 4, 3, 3, 4, 1, 4, 0, 1, 4, 2, 0, 2, 1, 2, 1, 2, 3, 4, 1, 3, 0, 3, 2, 1, 4, 2, 2, 4, 0, 0, 1, 3, 3, 0, 1, 1, 1, 0, 3, 4, 0, 4, 0, 0, 4, 2, 1, 3, 1, 1, 1, 1, 4, 0, 3, 1, 3, 3, 0, 1, 4, 3, 2, 0, 1, 4, 2, 0, 4, 1, 4, 3, 4, 3, 4, 2, 4, 0, 3, 0, 4, 3, 3, 3, 2, 1, 2, 3, 2, 1, 0, 4, 2, 2, 4, 0, 4, 2, 4, 0, 2, 4, 4, 2, 0, 3, 3, 4, 3, 4, 2, 3, 2, 2, 0, 4, 4, 3, 4, 3, 0, 2, 3, 2, 2, 2, 4, 4, 1, 2, 3, 4, 0, 2, 4, 1, 1, 2, 0, 1, 2, 0, 0, 2, 3, 2, 3, 2, 1, 3, 1, 2, 3, 3, 0, 1, 2, 2, 3, 3, 4, 3, 4, 4, 2, 0, 0, 4, 4, 4, 1, 3, 4, 3, 1, 4, 0, 0, 2, 0, 4, 3, 4, 1, 3, 3, 2, 4, 1, 0, 1, 0, 1, 3, 4, 1, 2, 4, 0, 1]
pubkeycol1325 = [3, 1, 1, 4, 1, 4, 1, 3, 4, 0, 1, 2, 2, 1, 1, 1, 2, 1, 3, 4, 2, 3, 3, 2, 0, 2, 3, 4, 0, 4, 4, 2, 2, 4, 4, 0, 3, 2, 2, 3, 1, 2, 2, 2, 0, 3, 3, 0, 2, 3, 4, 0, 0, 4, 3, 0, 2, 3, 3, 2, 1, 2, 0, 0, 2, 4, 0, 0, 4, 2, 2, 4, 1, 0, 4, 1, 2, 1, 2, 0, 2, 4, 4, 3, 3, 2, 1, 1, 4, 2, 4, 4, 0, 0, 1, 4, 2, 4, 1, 4, 3, 0, 4, 2, 1, 4, 1, 2, 1, 3, 3, 0, 3, 1, 3, 4, 0, 4, 3, 4, 0, 1, 3, 4, 3, 2, 3, 2, 0, 1, 0, 4, 1, 4, 0, 1, 0, 4, 0, 1, 1, 0, 4, 4, 0, 1, 3, 1, 4, 4, 1, 2, 0, 0, 0, 3, 2, 3, 1, 4, 4, 3, 1, 1, 0, 4, 2, 1, 2, 4, 3, 0, 3, 1, 1, 0, 4, 3, 2, 2, 3, 4, 4, 0, 1, 0, 1, 3, 3, 0, 1, 2, 0, 0, 2, 4, 0, 0, 4, 3, 4, 4, 3, 3, 3, 4, 0, 2, 4, 2, 2, 4, 0, 3, 0, 4, 2, 4, 1, 1, 4, 4, 3, 3, 4, 3, 0, 2, 4, 4, 3, 3, 4, 1, 3, 4, 2, 3, 1, 4, 3, 4, 1, 2, 4, 0, 4, 3, 2, 4, 2, 2, 3, 0, 4, 0, 1, 1, 0, 0, 2, 0, 4, 0, 0, 1, 1, 0, 0, 1, 2, 2, 3, 2, 0, 2, 1, 1, 4, 3, 4, 3, 1, 4, 2, 0, 1, 3, 0, 4, 2, 2, 0, 1, 2, 1, 3, 1, 4, 4, 1, 2, 1, 4, 0, 0, 0, 3, 3, 4, 1, 3, 1, 3, 0, 1, 2, 0, 3, 0, 1, 1, 2, 3, 3, 1, 0, 3, 3, 1, 1, 3, 3, 4, 1, 3, 2, 3, 2, 1, 4, 4, 4, 4, 4, 2, 0, 3, 4, 4, 2, 3, 1, 0, 1, 3, 4, 1, 4, 0, 4, 4, 0, 2, 3, 2, 4, 1, 3, 4, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 3, 4, 1, 1, 0, 2, 1, 0, 1, 2, 4, 2, 1, 0, 0, 0, 2]
pubkeycol1326 = [0, 1, 2, 1, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 2, 0, 4, 2, 3, 4, 2, 0, 3, 2, 0, 3, 1, 4, 3, 2, 4, 3, 0, 3, 0, 4, 4, 2, 0, 0, 3, 2, 0, 3, 1, 3, 1, 1, 0, 0, 2, 3, 3, 3, 0, 1, 1, 0, 2, 1, 3, 3, 0, 1, 3, 2, 4, 2, 4, 3, 1, 4, 3, 0, 3, 3, 3, 2, 1, 2, 3, 0, 2, 3, 2, 4, 2, 3, 3, 1, 0, 2, 2, 0, 4, 2, 1, 0, 3, 3, 2, 4, 2, 1, 3, 4, 3, 2, 2, 3, 4, 1, 1, 3, 3, 4, 0, 0, 3, 0, 4, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 1, 0, 4, 4, 0, 2, 4, 3, 0, 2, 0, 2, 2, 1, 3, 1, 1, 0, 3, 2, 4, 1, 0, 1, 2, 3, 3, 1, 1, 1, 2, 3, 4, 1, 1, 2, 4, 4, 3, 3, 2, 0, 1, 4, 4, 1, 1, 3, 3, 1, 4, 1, 3, 1, 1, 1, 4, 1, 3, 0, 2, 3, 2, 1, 4, 3, 0, 1, 0, 2, 2, 0, 3, 4, 1, 0, 4, 3, 2, 2, 1, 4, 3, 0, 3, 0, 1, 4, 2, 2, 1, 1, 2, 3, 2, 2, 4, 4, 0, 4, 1, 3, 4, 2, 1, 2, 4, 4, 1, 2, 3, 0, 3, 1, 3, 2, 0, 1, 4, 1, 2, 3, 2, 2, 0, 3, 2, 4, 4, 1, 0, 1, 0, 0, 4, 1, 2, 2, 3, 1, 3, 2, 0, 3, 3, 4, 2, 0, 0, 2, 3, 1, 3, 2, 0, 0, 0, 3, 3, 0, 4, 1, 2, 0, 1, 0, 4, 0, 1, 3, 3, 3, 1, 2, 4, 4, 0, 3, 2, 4, 3, 2, 2, 0, 4, 1, 4, 2, 1, 4, 0, 2, 2, 0, 2, 1, 4, 1, 2, 1, 2, 0, 0, 3, 2, 0, 2, 3, 1, 3, 2, 2, 3, 3, 1, 0, 2, 4, 4, 4, 4, 1, 2, 3, 4, 3, 2, 0, 2, 3, 0, 2, 4, 0, 3, 1, 0, 0, 1, 1, 3, 0, 4, 0, 1, 2, 4, 3, 1, 4, 3, 1, 3, 4, 1, 3, 3, 4, 0, 2, 1, 3, 0, 1, 4, 2, 3, 2, 3]
pubkeycol1327 = [0, 0, 3, 0, 2, 1, 2, 3, 1, 2, 0, 0, 2, 3, 2, 1, 2, 4, 4, 0, 3, 0, 2, 3, 2, 0, 1, 2, 2, 4, 0, 2, 0, 0, 3, 1, 1, 0, 1, 3, 0, 2, 1, 4, 1, 4, 4, 4, 3, 1, 4, 3, 4, 2, 2, 0, 2, 1, 0, 4, 2, 3, 2, 3, 0, 2, 4, 0, 3, 1, 3, 2, 4, 2, 0, 1, 0, 4, 0, 4, 3, 3, 3, 4, 4, 3, 3, 1, 3, 1, 2, 3, 3, 1, 1, 0, 4, 2, 0, 1, 0, 2, 0, 4, 2, 2, 1, 0, 3, 3, 1, 2, 2, 0, 2, 3, 4, 1, 0, 3, 1, 1, 2, 0, 0, 4, 3, 4, 3, 3, 0, 3, 3, 1, 2, 4, 2, 4, 2, 0, 0, 3, 0, 0, 1, 1, 0, 0, 3, 3, 0, 3, 1, 1, 4, 4, 1, 2, 2, 2, 2, 3, 2, 1, 0, 2, 2, 2, 2, 3, 1, 3, 0, 0, 4, 3, 3, 2, 3, 3, 1, 1, 1, 4, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 4, 2, 3, 3, 0, 1, 4, 3, 2, 4, 2, 1, 4, 4, 1, 4, 4, 2, 1, 3, 3, 2, 4, 1, 3, 4, 1, 2, 3, 1, 3, 2, 3, 4, 2, 3, 2, 2, 0, 2, 3, 0, 1, 4, 4, 1, 1, 4, 4, 1, 4, 0, 3, 0, 0, 1, 3, 2, 1, 1, 4, 3, 1, 3, 1, 4, 0, 2, 3, 2, 2, 3, 2, 1, 4, 1, 0, 1, 2, 2, 4, 4, 3, 1, 0, 4, 0, 0, 4, 3, 4, 3, 3, 1, 2, 0, 2, 4, 0, 1, 1, 4, 2, 2, 2, 4, 1, 0, 2, 2, 2, 0, 4, 0, 1, 1, 2, 4, 3, 2, 1, 4, 4, 1, 0, 0, 1, 1, 4, 2, 4, 0, 4, 3, 0, 0, 3, 1, 2, 3, 0, 0, 0, 0, 4, 1, 3, 2, 2, 4, 1, 4, 0, 4, 3, 4, 3, 2, 4, 2, 1, 1, 3, 0, 3, 1, 4, 4, 2, 1, 0, 3, 1, 1, 4, 2, 2, 3, 2, 0, 1, 4, 3, 1, 3, 0, 0, 3, 0, 1, 4, 2, 0, 1, 0, 3, 4, 3, 1, 0, 1, 1, 0, 2, 3]
pubkeycol1328 = [1, 1, 0, 2, 4, 4, 4, 4, 3, 4, 2, 3, 0, 2, 2, 4, 0, 1, 2, 0, 3, 4, 0, 4, 3, 1, 4, 4, 1, 2, 2, 2, 1, 2, 4, 3, 3, 0, 1, 4, 3, 1, 1, 4, 0, 2, 0, 1, 3, 0, 4, 2, 0, 3, 4, 2, 1, 1, 3, 1, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 1, 3, 1, 0, 3, 4, 1, 4, 2, 3, 4, 0, 1, 3, 2, 0, 1, 2, 2, 4, 1, 3, 3, 2, 2, 4, 0, 1, 4, 2, 3, 3, 0, 0, 1, 2, 4, 0, 4, 1, 3, 1, 1, 0, 3, 0, 2, 4, 3, 2, 3, 1, 2, 4, 2, 3, 3, 1, 2, 1, 4, 1, 2, 0, 4, 3, 3, 1, 3, 2, 3, 1, 3, 4, 2, 0, 0, 1, 4, 1, 1, 4, 3, 4, 3, 0, 0, 3, 2, 3, 0, 2, 1, 4, 2, 4, 2, 4, 1, 3, 1, 3, 1, 0, 3, 1, 4, 0, 2, 1, 0, 2, 0, 4, 4, 3, 0, 1, 4, 2, 3, 4, 0, 4, 4, 3, 2, 4, 0, 1, 0, 4, 3, 0, 2, 3, 2, 2, 4, 4, 2, 0, 1, 3, 0, 4, 2, 1, 1, 4, 1, 3, 3, 2, 0, 0, 1, 4, 0, 2, 0, 4, 0, 0, 2, 2, 1, 0, 4, 0, 4, 2, 1, 2, 1, 3, 2, 1, 4, 1, 3, 2, 0, 0, 4, 1, 2, 3, 0, 4, 4, 4, 0, 1, 1, 4, 1, 2, 1, 3, 4, 1, 2, 2, 0, 2, 1, 3, 2, 4, 0, 4, 1, 0, 4, 2, 4, 4, 1, 2, 0, 4, 0, 2, 0, 2, 0, 0, 4, 2, 2, 4, 1, 4, 2, 3, 2, 4, 3, 0, 0, 1, 3, 4, 2, 1, 0, 0, 3, 2, 2, 3, 0, 1, 3, 0, 1, 3, 3, 1, 3, 3, 1, 0, 0, 0, 1, 1, 1, 4, 1, 4, 1, 0, 2, 0, 0, 3, 0, 4, 0, 3, 2, 4, 3, 3, 1, 4, 2, 2, 3, 3, 0, 4, 4, 1, 2, 2, 2, 0, 1, 0, 1, 4, 1, 2, 3, 3, 4, 3, 3, 3, 1, 1, 4, 0, 4, 2, 2, 1, 2, 3, 2, 3, 1, 2, 4, 3, 1, 2]
pubkeycol1329 = [2, 0, 0, 0, 4, 1, 2, 0, 3, 0, 0, 0, 3, 1, 4, 0, 2, 3, 0, 3, 3, 0, 2, 1, 3, 1, 1, 3, 0, 1, 2, 0, 4, 4, 1, 3, 4, 1, 3, 2, 1, 0, 2, 3, 1, 2, 3, 1, 4, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 0, 0, 4, 2, 1, 4, 4, 0, 2, 0, 2, 0, 4, 3, 1, 3, 2, 3, 4, 3, 0, 0, 3, 0, 2, 3, 0, 0, 1, 3, 3, 3, 3, 2, 2, 4, 2, 0, 3, 1, 2, 2, 3, 2, 0, 3, 4, 3, 2, 3, 4, 1, 0, 2, 3, 4, 4, 2, 3, 3, 3, 3, 0, 1, 0, 2, 4, 0, 4, 4, 4, 3, 4, 0, 2, 3, 2, 3, 4, 0, 2, 4, 0, 1, 0, 3, 1, 0, 0, 1, 3, 0, 1, 0, 2, 1, 3, 0, 4, 3, 1, 3, 1, 1, 2, 3, 2, 1, 1, 3, 2, 0, 4, 0, 0, 4, 2, 4, 0, 0, 0, 3, 4, 2, 4, 0, 1, 0, 2, 2, 0, 0, 2, 2, 4, 0, 4, 1, 2, 4, 3, 2, 2, 2, 0, 1, 0, 2, 3, 3, 4, 4, 4, 3, 3, 3, 2, 0, 3, 3, 1, 1, 0, 1, 4, 3, 0, 3, 4, 3, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 3, 3, 2, 4, 3, 1, 3, 4, 0, 1, 1, 3, 0, 2, 2, 2, 2, 0, 1, 3, 1, 4, 0, 1, 4, 1, 1, 4, 2, 3, 0, 3, 3, 0, 3, 3, 0, 2, 0, 3, 2, 1, 2, 1, 1, 4, 0, 1, 2, 4, 0, 0, 1, 1, 4, 1, 3, 0, 3, 2, 2, 2, 0, 0, 2, 1, 4, 1, 2, 2, 3, 1, 0, 2, 4, 0, 3, 4, 4, 4, 0, 0, 3, 0, 1, 1, 0, 0, 2, 0, 3, 3, 1, 2, 0, 4, 3, 3, 0, 2, 1, 4, 4, 0, 4, 2, 2, 0, 1, 0, 1, 4, 1, 1, 0, 0, 3, 0, 2, 0, 4, 1, 2, 1, 3, 0, 3, 1, 3, 4, 2, 4, 1, 1, 4, 1, 2, 2, 4, 2, 4, 2, 0, 4, 4, 1, 4, 4, 0, 2, 3, 0, 0, 3, 4, 4, 0, 3, 4, 3, 0]
pubkeycol1330 = [2, 2, 4, 2, 0, 3, 2, 2, 2, 3, 4, 2, 0, 1, 4, 4, 3, 4, 2, 3, 4, 4, 3, 2, 0, 3, 0, 3, 1, 2, 1, 0, 3, 4, 3, 2, 1, 1, 1, 3, 2, 2, 1, 1, 2, 2, 2, 2, 0, 3, 2, 4, 2, 0, 3, 4, 2, 4, 0, 2, 0, 4, 2, 2, 2, 3, 1, 1, 1, 2, 2, 3, 4, 3, 4, 3, 3, 1, 3, 0, 4, 1, 1, 0, 4, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 4, 1, 3, 3, 0, 1, 2, 1, 4, 1, 2, 2, 2, 4, 0, 2, 3, 2, 3, 4, 4, 1, 3, 0, 2, 2, 2, 0, 4, 0, 1, 3, 0, 2, 0, 1, 3, 0, 4, 2, 1, 1, 3, 2, 3, 3, 0, 1, 2, 1, 0, 1, 0, 2, 4, 1, 3, 1, 4, 2, 4, 0, 0, 3, 2, 0, 3, 2, 3, 0, 2, 4, 2, 2, 4, 1, 0, 3, 0, 3, 2, 1, 1, 3, 2, 3, 1, 0, 3, 4, 0, 0, 4, 1, 4, 1, 0, 4, 0, 3, 4, 0, 2, 0, 4, 3, 3, 0, 4, 0, 2, 3, 1, 0, 0, 1, 0, 0, 1, 4, 2, 0, 0, 1, 4, 4, 4, 3, 4, 2, 0, 4, 4, 1, 2, 2, 1, 1, 4, 1, 1, 4, 3, 3, 1, 3, 0, 3, 4, 1, 4, 3, 0, 3, 0, 1, 4, 3, 0, 3, 0, 1, 1, 2, 1, 1, 2, 4, 4, 2, 1, 3, 2, 4, 2, 2, 4, 4, 4, 3, 1, 4, 3, 3, 2, 0, 0, 3, 0, 0, 1, 0, 4, 3, 3, 0, 0, 2, 2, 1, 1, 4, 3, 0, 0, 4, 4, 4, 1, 4, 1, 1, 4, 1, 0, 1, 0, 4, 4, 1, 4, 0, 3, 4, 3, 1, 2, 0, 4, 2, 2, 0, 1, 3, 3, 2, 4, 0, 0, 2, 0, 1, 4, 2, 4, 2, 4, 2, 0, 1, 2, 3, 1, 0, 0, 2, 0, 0, 1, 1, 2, 4, 4, 4, 4, 1, 1, 4, 4, 1, 0, 2, 4, 3, 2, 1, 4, 4, 0, 3, 3, 1, 0, 2, 4, 2, 3, 1, 2, 4, 2, 0, 2, 0, 0, 2, 0, 4, 3, 1, 1, 0, 2, 0]
pubkeycol1331 = [0, 3, 3, 3, 3, 4, 0, 1, 2, 0, 3, 4, 3, 1, 4, 3, 4, 1, 0, 3, 2, 3, 0, 0, 4, 2, 3, 3, 2, 1, 4, 2, 4, 0, 3, 2, 2, 0, 3, 4, 2, 2, 2, 1, 2, 3, 0, 0, 0, 0, 3, 3, 3, 0, 2, 1, 4, 4, 2, 3, 4, 2, 1, 2, 1, 3, 2, 1, 1, 4, 1, 2, 2, 2, 4, 4, 1, 3, 3, 4, 3, 2, 1, 4, 3, 3, 2, 4, 4, 2, 3, 2, 2, 2, 2, 3, 2, 2, 3, 0, 0, 3, 0, 4, 4, 0, 2, 3, 4, 3, 3, 2, 2, 4, 2, 1, 2, 3, 0, 2, 2, 3, 1, 1, 3, 2, 3, 4, 3, 1, 3, 2, 3, 4, 3, 0, 3, 0, 0, 3, 0, 4, 4, 1, 0, 2, 3, 4, 0, 4, 1, 0, 0, 2, 3, 3, 4, 1, 2, 0, 3, 0, 0, 4, 3, 1, 0, 3, 3, 2, 0, 1, 0, 3, 4, 1, 4, 0, 2, 4, 3, 3, 2, 1, 0, 4, 3, 4, 0, 3, 1, 3, 2, 4, 4, 0, 1, 0, 2, 0, 3, 1, 4, 4, 3, 4, 3, 0, 3, 2, 4, 4, 0, 0, 2, 1, 1, 1, 0, 1, 4, 1, 4, 1, 2, 4, 1, 4, 1, 4, 4, 4, 2, 4, 1, 1, 3, 3, 1, 0, 4, 4, 4, 3, 2, 1, 2, 4, 1, 1, 3, 3, 4, 4, 0, 3, 2, 4, 2, 4, 3, 3, 3, 2, 3, 3, 4, 4, 3, 1, 1, 4, 4, 4, 0, 1, 3, 0, 3, 4, 2, 0, 2, 3, 1, 1, 4, 4, 1, 1, 3, 3, 2, 1, 3, 4, 0, 4, 2, 3, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 1, 4, 1, 1, 3, 1, 0, 2, 3, 0, 3, 0, 2, 4, 2, 1, 3, 2, 1, 3, 3, 3, 2, 3, 3, 4, 0, 4, 2, 2, 1, 2, 3, 4, 0, 2, 4, 3, 4, 2, 2, 4, 3, 1, 1, 3, 2, 4, 3, 2, 0, 0, 4, 0, 4, 0, 1, 0, 0, 0, 0, 4, 4, 1, 0, 1, 4, 0, 4, 2, 1, 2, 3, 3, 1, 2, 1, 0, 2, 1, 2, 0, 1, 3, 4, 4, 1, 1]
pubkeycol1332 = [4, 1, 4, 3, 3, 0, 0, 3, 4, 3, 2, 2, 0, 1, 0, 2, 0, 1, 4, 2, 2, 2, 0, 0, 2, 3, 4, 0, 4, 4, 1, 4, 3, 0, 2, 1, 4, 0, 0, 3, 0, 2, 2, 1, 2, 3, 2, 2, 3, 1, 1, 3, 3, 1, 3, 3, 0, 4, 4, 0, 1, 3, 2, 4, 1, 2, 4, 1, 2, 0, 4, 1, 3, 3, 2, 1, 0, 3, 2, 4, 0, 4, 1, 3, 4, 3, 1, 2, 4, 3, 1, 0, 4, 2, 1, 1, 2, 3, 3, 3, 3, 4, 4, 1, 4, 4, 0, 3, 0, 3, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 4, 0, 1, 4, 0, 4, 2, 0, 2, 1, 4, 4, 4, 4, 0, 1, 4, 0, 4, 1, 0, 4, 4, 3, 0, 1, 0, 0, 3, 2, 2, 0, 3, 0, 3, 1, 2, 0, 4, 1, 0, 3, 4, 3, 4, 4, 1, 3, 2, 3, 2, 0, 0, 0, 3, 0, 3, 1, 4, 0, 1, 0, 1, 4, 2, 0, 2, 2, 3, 2, 3, 2, 0, 4, 2, 4, 0, 2, 0, 4, 2, 3, 0, 2, 1, 3, 3, 4, 3, 0, 0, 2, 1, 4, 1, 0, 0, 3, 1, 0, 1, 2, 0, 3, 3, 0, 0, 3, 2, 2, 3, 1, 0, 4, 3, 4, 0, 2, 0, 4, 1, 3, 4, 4, 2, 4, 2, 1, 3, 1, 1, 1, 4, 0, 0, 1, 2, 3, 0, 4, 0, 4, 0, 3, 1, 2, 3, 0, 3, 0, 1, 3, 3, 0, 3, 4, 4, 3, 2, 3, 3, 3, 2, 4, 4, 4, 4, 3, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 0, 2, 0, 0, 2, 3, 0, 1, 3, 0, 3, 1, 2, 4, 0, 1, 1, 1, 2, 0, 2, 2, 0, 4, 2, 2, 2, 1, 4, 0, 2, 1, 1, 0, 3, 0, 2, 1, 4, 2, 4, 3, 0, 3, 1, 4, 3, 3, 1, 3, 2, 1, 2, 0, 1, 0, 0, 1, 2, 4, 2, 0, 0, 1, 4, 2, 2, 2, 0, 3, 0, 4, 4, 1, 4, 4, 1, 4, 1, 0, 4, 1, 2, 3, 2, 4, 2, 4, 0, 2, 1, 0, 2, 0]
pubkeycol1333 = [3, 1, 4, 3, 4, 1, 2, 4, 3, 2, 3, 1, 3, 1, 1, 4, 0, 1, 2, 0, 2, 3, 3, 0, 0, 1, 4, 3, 4, 3, 4, 2, 3, 4, 0, 0, 0, 0, 1, 3, 1, 2, 0, 2, 1, 3, 2, 3, 2, 1, 2, 4, 3, 4, 0, 3, 2, 1, 2, 4, 3, 0, 1, 1, 4, 4, 4, 3, 1, 1, 2, 3, 3, 3, 3, 2, 0, 4, 3, 3, 4, 3, 2, 1, 4, 0, 2, 2, 1, 3, 4, 0, 0, 2, 1, 4, 0, 4, 1, 3, 1, 3, 4, 2, 3, 3, 4, 4, 0, 4, 1, 1, 0, 4, 2, 1, 4, 0, 4, 3, 4, 1, 1, 0, 0, 0, 2, 2, 3, 2, 3, 0, 3, 1, 4, 1, 0, 0, 2, 1, 0, 3, 1, 0, 4, 3, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 3, 2, 4, 1, 4, 2, 3, 0, 4, 2, 1, 2, 1, 2, 3, 2, 1, 1, 2, 2, 0, 1, 0, 4, 2, 3, 1, 2, 0, 3, 2, 3, 3, 2, 4, 1, 2, 4, 0, 4, 4, 4, 1, 0, 0, 0, 2, 0, 0, 2, 3, 0, 1, 1, 4, 4, 3, 2, 3, 2, 1, 4, 1, 3, 4, 1, 2, 1, 0, 1, 4, 4, 2, 0, 0, 4, 0, 1, 4, 2, 0, 0, 0, 1, 3, 3, 3, 1, 4, 0, 2, 1, 2, 1, 4, 0, 3, 1, 4, 4, 0, 1, 3, 1, 4, 2, 4, 4, 0, 1, 1, 4, 1, 4, 0, 0, 4, 2, 1, 3, 2, 1, 2, 4, 4, 4, 3, 2, 3, 2, 2, 2, 1, 2, 1, 1, 0, 2, 3, 0, 2, 4, 1, 4, 0, 0, 1, 2, 1, 3, 3, 0, 4, 1, 0, 3, 3, 4, 0, 2, 4, 2, 0, 2, 0, 2, 1, 3, 3, 0, 1, 0, 2, 0, 2, 1, 4, 1, 3, 2, 3, 1, 4, 3, 0, 0, 0, 4, 1, 0, 0, 2, 4, 3, 2, 2, 1, 3, 0, 3, 2, 1, 1, 2, 4, 4, 4, 4, 0, 1, 3, 4, 2, 3, 2, 1, 3, 2, 2, 4, 1, 4, 1, 3, 3, 0, 2, 4, 0, 3, 1, 0, 3, 3, 3, 3, 1, 2, 0, 1, 4, 4, 3]
pubkeycol1334 = [0, 3, 1, 0, 4, 4, 2, 4, 2, 1, 3, 3, 3, 0, 4, 1, 0, 1, 3, 0, 0, 2, 3, 3, 2, 4, 2, 2, 1, 1, 4, 3, 3, 0, 4, 0, 1, 4, 3, 1, 2, 1, 0, 0, 0, 2, 4, 2, 2, 4, 3, 3, 1, 1, 3, 4, 2, 0, 2, 1, 3, 2, 4, 1, 0, 1, 3, 3, 0, 0, 3, 1, 4, 4, 3, 3, 1, 2, 1, 1, 1, 4, 4, 1, 3, 3, 4, 1, 2, 3, 0, 3, 4, 0, 4, 4, 4, 1, 0, 3, 0, 0, 1, 1, 2, 2, 2, 4, 3, 3, 0, 2, 0, 3, 2, 3, 0, 4, 2, 4, 3, 0, 1, 1, 4, 3, 4, 1, 2, 0, 4, 0, 3, 3, 4, 0, 0, 4, 1, 3, 4, 2, 1, 4, 3, 1, 1, 4, 3, 2, 1, 1, 3, 1, 1, 0, 2, 3, 2, 1, 1, 3, 1, 2, 3, 1, 2, 3, 0, 2, 1, 1, 2, 0, 2, 4, 2, 4, 2, 4, 2, 4, 4, 4, 3, 2, 3, 1, 1, 2, 0, 4, 4, 0, 1, 1, 0, 0, 1, 1, 2, 3, 0, 1, 2, 2, 1, 4, 3, 2, 4, 2, 3, 1, 3, 4, 0, 2, 2, 2, 3, 0, 1, 3, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 3, 1, 3, 4, 0, 3, 4, 0, 0, 4, 1, 0, 3, 3, 2, 4, 4, 0, 2, 4, 3, 0, 0, 4, 0, 4, 3, 0, 4, 0, 4, 3, 0, 2, 0, 0, 4, 3, 0, 3, 4, 2, 0, 3, 2, 3, 0, 2, 1, 3, 3, 3, 0, 4, 4, 3, 0, 1, 2, 0, 1, 1, 0, 2, 0, 4, 4, 4, 3, 2, 0, 4, 0, 4, 4, 1, 0, 2, 0, 2, 4, 0, 2, 4, 4, 3, 2, 0, 2, 1, 1, 1, 3, 0, 3, 2, 4, 1, 0, 0, 2, 1, 3, 0, 2, 2, 4, 3, 1, 2, 2, 4, 4, 3, 4, 2, 3, 3, 3, 0, 4, 3, 1, 4, 4, 1, 4, 1, 0, 2, 0, 0, 3, 0, 3, 2, 0, 2, 4, 0, 3, 0, 2, 1, 3, 1, 4, 0, 0, 1, 0, 0, 0, 4, 3, 1, 2, 3, 0, 0, 2, 4, 2]
pubkeycol1335 = [1, 2, 1, 0, 4, 3, 4, 4, 4, 4, 2, 1, 4, 2, 1, 2, 3, 2, 4, 2, 2, 4, 0, 0, 1, 3, 1, 3, 1, 1, 2, 2, 1, 3, 0, 1, 1, 2, 1, 2, 0, 4, 4, 1, 3, 0, 3, 1, 0, 2, 0, 2, 2, 4, 3, 2, 1, 4, 3, 4, 3, 2, 2, 4, 3, 0, 4, 2, 0, 3, 4, 2, 3, 4, 3, 2, 1, 0, 4, 0, 0, 3, 4, 1, 1, 2, 2, 0, 0, 3, 4, 1, 0, 3, 4, 0, 2, 0, 0, 2, 2, 4, 3, 4, 3, 4, 3, 4, 3, 1, 0, 3, 2, 3, 4, 3, 3, 4, 1, 2, 2, 4, 1, 0, 3, 4, 0, 1, 2, 4, 0, 4, 2, 4, 2, 3, 0, 4, 0, 4, 1, 4, 3, 1, 3, 1, 0, 1, 3, 1, 2, 2, 0, 3, 3, 4, 4, 2, 0, 2, 1, 4, 4, 4, 4, 3, 1, 2, 1, 3, 1, 2, 3, 2, 3, 3, 1, 2, 1, 4, 4, 1, 4, 2, 2, 2, 1, 3, 0, 4, 1, 4, 1, 2, 2, 1, 0, 3, 0, 2, 2, 0, 3, 0, 1, 3, 2, 0, 1, 2, 0, 0, 2, 4, 1, 3, 1, 0, 3, 4, 0, 4, 1, 1, 1, 0, 3, 0, 0, 1, 4, 1, 3, 3, 4, 1, 2, 3, 1, 1, 0, 3, 1, 3, 3, 2, 4, 3, 1, 2, 1, 4, 3, 4, 2, 4, 3, 1, 3, 3, 4, 1, 3, 0, 0, 1, 2, 3, 4, 1, 1, 4, 3, 3, 3, 0, 1, 1, 1, 0, 1, 4, 2, 3, 2, 1, 4, 3, 3, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 4, 2, 1, 0, 2, 0, 3, 0, 2, 3, 1, 4, 1, 1, 4, 1, 0, 0, 4, 1, 0, 1, 1, 4, 3, 1, 0, 1, 3, 2, 4, 2, 4, 1, 0, 2, 0, 0, 1, 3, 3, 2, 0, 0, 0, 3, 1, 2, 2, 2, 3, 4, 4, 4, 1, 0, 3, 1, 1, 4, 2, 4, 0, 3, 3, 2, 3, 0, 0, 2, 4, 1, 4, 4, 3, 2, 0, 0, 1, 1, 0, 4, 0, 3, 0, 2, 0, 3, 0, 0, 4, 3, 2, 1, 2, 2, 2, 2, 4]
pubkeycol1336 = [2, 4, 1, 0, 3, 3, 2, 3, 0, 1, 3, 2, 3, 3, 4, 1, 4, 2, 4, 2, 2, 1, 2, 2, 0, 2, 4, 0, 2, 4, 2, 2, 2, 3, 4, 3, 1, 3, 1, 1, 3, 3, 0, 4, 1, 3, 2, 3, 2, 2, 3, 4, 3, 2, 0, 0, 2, 0, 4, 1, 1, 3, 3, 1, 2, 3, 2, 3, 1, 0, 3, 4, 1, 3, 0, 2, 1, 3, 4, 0, 0, 3, 0, 1, 3, 0, 0, 3, 1, 4, 3, 4, 1, 3, 4, 2, 2, 1, 2, 4, 1, 2, 4, 0, 2, 4, 4, 2, 1, 3, 3, 4, 0, 3, 4, 0, 3, 2, 2, 0, 0, 0, 2, 2, 4, 0, 0, 4, 1, 1, 0, 4, 0, 3, 3, 4, 0, 1, 4, 4, 3, 2, 1, 1, 0, 2, 2, 4, 4, 4, 4, 0, 0, 1, 1, 0, 2, 0, 4, 0, 0, 2, 3, 4, 1, 2, 1, 0, 3, 1, 2, 1, 3, 4, 2, 2, 1, 3, 4, 2, 0, 0, 1, 0, 1, 0, 4, 0, 4, 1, 4, 0, 3, 2, 0, 4, 0, 3, 2, 4, 2, 0, 4, 1, 2, 3, 1, 0, 3, 0, 4, 3, 4, 1, 3, 0, 1, 1, 3, 4, 3, 1, 1, 0, 3, 2, 1, 3, 3, 1, 3, 2, 1, 3, 4, 4, 1, 3, 0, 4, 3, 0, 0, 3, 0, 2, 2, 0, 4, 0, 0, 0, 2, 2, 0, 0, 4, 3, 2, 4, 3, 1, 0, 1, 0, 3, 3, 1, 4, 4, 4, 4, 4, 2, 0, 4, 2, 1, 4, 0, 0, 0, 1, 2, 4, 4, 1, 0, 0, 2, 1, 3, 1, 2, 3, 4, 3, 0, 0, 4, 2, 4, 3, 4, 3, 0, 1, 0, 4, 0, 1, 3, 1, 3, 4, 1, 0, 4, 2, 3, 2, 2, 1, 3, 2, 4, 1, 2, 1, 4, 1, 4, 1, 2, 3, 3, 0, 4, 1, 0, 3, 3, 0, 1, 3, 4, 2, 3, 1, 1, 4, 0, 2, 0, 2, 0, 3, 3, 1, 3, 0, 4, 0, 2, 3, 3, 0, 2, 1, 4, 1, 3, 3, 1, 4, 3, 0, 1, 2, 1, 3, 2, 3, 0, 3, 4, 1, 3, 3, 2, 1, 2, 0, 2, 2, 2, 3, 2, 1, 2]
pubkeycol1337 = [4, 0, 4, 2, 2, 3, 1, 2, 1, 2, 3, 0, 2, 2, 1, 4, 1, 1, 0, 3, 3, 2, 4, 2, 0, 3, 0, 3, 2, 3, 0, 2, 3, 3, 1, 3, 2, 4, 1, 4, 3, 0, 1, 4, 2, 3, 2, 3, 2, 2, 3, 3, 3, 0, 0, 3, 0, 1, 1, 4, 1, 1, 1, 1, 3, 4, 4, 3, 0, 2, 1, 3, 4, 0, 3, 3, 0, 0, 4, 0, 4, 2, 2, 4, 4, 2, 1, 3, 1, 2, 2, 0, 3, 1, 2, 0, 0, 1, 4, 1, 4, 0, 2, 0, 4, 4, 0, 0, 2, 0, 3, 2, 0, 1, 2, 0, 2, 4, 3, 4, 1, 1, 3, 0, 2, 4, 0, 2, 0, 1, 4, 3, 1, 4, 0, 4, 3, 3, 1, 0, 0, 4, 1, 4, 2, 4, 1, 2, 0, 2, 1, 4, 2, 4, 0, 1, 4, 0, 4, 2, 0, 0, 4, 2, 1, 2, 1, 2, 3, 0, 4, 3, 4, 1, 2, 4, 4, 4, 0, 1, 4, 2, 3, 0, 3, 3, 2, 3, 4, 0, 4, 0, 3, 4, 3, 1, 3, 3, 3, 3, 1, 0, 3, 1, 2, 4, 4, 0, 2, 3, 3, 0, 3, 3, 1, 4, 4, 2, 2, 0, 0, 0, 1, 1, 0, 2, 3, 4, 1, 3, 2, 0, 4, 4, 2, 3, 1, 3, 1, 2, 3, 4, 3, 4, 4, 1, 1, 2, 4, 4, 0, 3, 4, 1, 3, 3, 1, 3, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 3, 4, 0, 4, 0, 4, 3, 1, 1, 2, 2, 2, 2, 0, 3, 0, 2, 4, 0, 4, 1, 0, 2, 4, 1, 0, 4, 0, 2, 0, 0, 3, 2, 1, 0, 2, 1, 0, 3, 2, 2, 2, 2, 3, 4, 3, 0, 1, 2, 4, 2, 0, 4, 2, 2, 0, 3, 2, 1, 2, 4, 4, 1, 1, 0, 0, 1, 2, 3, 0, 0, 1, 0, 4, 4, 0, 3, 0, 3, 4, 4, 1, 3, 4, 2, 3, 0, 4, 3, 3, 2, 0, 2, 1, 1, 3, 3, 3, 4, 1, 3, 4, 2, 2, 0, 1, 0, 1, 3, 4, 2, 2, 2, 1, 2, 3, 2, 4, 3, 1, 0, 1, 1, 3, 2, 3, 3, 4, 0, 4, 3]
pubkeycol1338 = [4, 1, 3, 2, 2, 0, 1, 4, 3, 4, 2, 3, 0, 0, 4, 3, 3, 0, 2, 3, 1, 2, 1, 2, 2, 2, 4, 4, 4, 3, 3, 3, 1, 0, 2, 3, 4, 1, 4, 0, 2, 4, 4, 2, 2, 0, 4, 2, 0, 3, 3, 3, 4, 2, 1, 1, 4, 1, 0, 2, 4, 0, 2, 1, 0, 4, 0, 1, 3, 4, 2, 0, 1, 0, 2, 2, 1, 4, 4, 4, 3, 2, 0, 4, 3, 4, 0, 0, 0, 0, 2, 4, 0, 3, 4, 0, 1, 3, 1, 2, 3, 0, 0, 4, 0, 3, 4, 4, 3, 4, 1, 3, 3, 0, 1, 1, 2, 1, 4, 1, 4, 1, 1, 3, 1, 0, 4, 4, 0, 1, 0, 0, 0, 3, 1, 3, 3, 2, 4, 1, 3, 0, 3, 0, 1, 3, 1, 2, 2, 4, 3, 2, 2, 3, 4, 1, 1, 1, 0, 3, 3, 3, 4, 4, 2, 0, 4, 4, 1, 0, 1, 4, 3, 1, 3, 1, 3, 3, 2, 2, 3, 0, 4, 2, 2, 1, 3, 1, 1, 4, 4, 2, 3, 1, 4, 2, 2, 4, 3, 1, 4, 1, 1, 1, 2, 3, 1, 0, 1, 3, 4, 4, 2, 2, 1, 0, 1, 3, 0, 0, 4, 2, 3, 0, 4, 4, 1, 0, 2, 1, 4, 0, 2, 1, 0, 1, 2, 0, 4, 3, 0, 1, 4, 4, 2, 1, 3, 4, 2, 4, 2, 4, 2, 1, 1, 0, 3, 0, 2, 2, 1, 2, 1, 4, 1, 0, 1, 1, 3, 1, 3, 0, 3, 2, 4, 3, 1, 2, 1, 2, 2, 4, 4, 4, 1, 0, 2, 4, 2, 1, 4, 3, 2, 2, 0, 4, 4, 3, 2, 4, 2, 2, 3, 4, 1, 4, 1, 3, 3, 2, 4, 1, 4, 0, 3, 2, 4, 2, 4, 0, 4, 0, 2, 3, 0, 0, 0, 1, 4, 0, 2, 0, 2, 2, 4, 4, 0, 4, 3, 1, 3, 1, 3, 0, 2, 4, 3, 2, 0, 1, 4, 3, 2, 4, 0, 3, 4, 1, 1, 0, 1, 0, 1, 2, 1, 3, 4, 0, 0, 0, 3, 3, 3, 4, 3, 0, 2, 3, 2, 3, 1, 3, 3, 2, 3, 0, 4, 3, 0, 0, 3, 1, 1, 2, 0, 0, 3, 1, 1, 3]
pubkeycol1339 = [1, 0, 3, 3, 1, 4, 2, 2, 1, 2, 1, 1, 3, 2, 3, 0, 4, 4, 2, 2, 0, 0, 1, 0, 0, 4, 0, 4, 3, 1, 1, 0, 1, 1, 1, 3, 2, 3, 2, 2, 0, 2, 2, 0, 4, 4, 3, 3, 1, 0, 1, 0, 4, 3, 1, 4, 3, 4, 3, 0, 3, 4, 3, 1, 3, 1, 1, 2, 3, 1, 3, 4, 1, 3, 3, 0, 4, 0, 0, 1, 4, 4, 3, 2, 0, 1, 3, 0, 3, 3, 2, 3, 0, 1, 0, 2, 4, 1, 0, 0, 4, 2, 4, 2, 1, 4, 0, 3, 4, 4, 0, 0, 0, 0, 4, 1, 2, 3, 2, 4, 1, 2, 3, 3, 3, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 4, 0, 0, 2, 4, 2, 4, 2, 2, 1, 3, 3, 1, 2, 4, 1, 2, 2, 3, 2, 2, 4, 1, 4, 1, 0, 2, 0, 0, 0, 4, 2, 0, 1, 3, 1, 1, 0, 1, 3, 4, 0, 4, 1, 1, 1, 0, 0, 2, 2, 3, 4, 3, 3, 2, 2, 0, 3, 2, 0, 2, 1, 4, 4, 4, 2, 4, 4, 2, 3, 4, 3, 1, 3, 2, 0, 1, 1, 1, 1, 4, 2, 1, 0, 3, 0, 2, 2, 2, 2, 4, 3, 1, 4, 1, 2, 1, 3, 4, 4, 0, 0, 1, 0, 0, 0, 2, 4, 0, 4, 4, 4, 2, 3, 0, 4, 2, 0, 3, 0, 1, 1, 3, 3, 1, 1, 0, 2, 3, 3, 0, 2, 2, 2, 1, 3, 0, 2, 1, 1, 4, 0, 1, 4, 0, 2, 4, 4, 3, 0, 2, 1, 2, 3, 1, 0, 1, 0, 2, 2, 4, 0, 1, 4, 1, 2, 1, 3, 3, 1, 4, 1, 4, 3, 4, 0, 2, 2, 0, 3, 1, 1, 0, 2, 2, 3, 1, 3, 0, 2, 0, 1, 2, 3, 4, 2, 4, 3, 4, 1, 1, 4, 1, 3, 2, 2, 0, 0, 1, 1, 2, 3, 3, 3, 4, 2, 3, 1, 2, 4, 0, 4, 4, 1, 1, 2, 4, 0, 3, 2, 3, 2, 0, 2, 3, 3, 0, 2, 4, 0, 3, 4, 3, 2, 1, 4, 1, 1, 1, 2, 0, 1, 2, 4, 2, 4, 1, 0, 3, 1, 3, 0]
pubkeycol1340 = [2, 2, 2, 4, 3, 4, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 1, 0, 3, 1, 0, 2, 0, 2, 1, 0, 3, 1, 1, 4, 3, 3, 4, 0, 3, 2, 1, 4, 4, 4, 2, 4, 3, 4, 0, 3, 0, 1, 4, 3, 1, 2, 2, 3, 1, 2, 3, 1, 1, 2, 1, 2, 0, 4, 0, 3, 3, 4, 4, 1, 1, 4, 2, 0, 0, 1, 4, 1, 0, 2, 4, 2, 0, 1, 0, 2, 1, 2, 2, 4, 4, 0, 0, 1, 0, 4, 2, 2, 0, 1, 0, 4, 4, 1, 2, 4, 4, 1, 0, 4, 2, 0, 4, 1, 2, 3, 1, 1, 1, 0, 0, 1, 3, 3, 2, 4, 3, 1, 1, 1, 1, 3, 4, 3, 4, 2, 3, 0, 1, 2, 1, 0, 1, 4, 2, 3, 1, 3, 1, 0, 0, 0, 0, 2, 4, 1, 4, 4, 1, 0, 2, 1, 1, 3, 2, 3, 2, 0, 3, 0, 0, 4, 4, 0, 1, 2, 2, 3, 0, 2, 2, 1, 4, 2, 3, 0, 1, 1, 4, 0, 4, 2, 1, 1, 0, 2, 2, 3, 2, 2, 4, 0, 3, 2, 3, 2, 3, 3, 1, 0, 3, 4, 3, 3, 0, 1, 2, 2, 1, 3, 4, 1, 0, 1, 1, 1, 4, 4, 1, 0, 0, 4, 2, 1, 0, 1, 2, 2, 2, 0, 4, 1, 3, 3, 4, 2, 4, 2, 2, 4, 0, 1, 1, 4, 2, 1, 4, 3, 1, 1, 2, 0, 4, 2, 3, 2, 4, 4, 0, 2, 1, 1, 4, 4, 3, 2, 2, 2, 4, 1, 0, 4, 4, 1, 1, 0, 4, 4, 4, 2, 1, 2, 2, 0, 4, 3, 4, 0, 1, 2, 0, 3, 2, 2, 0, 2, 0, 3, 2, 1, 0, 1, 1, 3, 1, 0, 0, 0, 1, 2, 2, 1, 4, 1, 0, 3, 0, 4, 3, 1, 3, 0, 1, 1, 2, 4, 4, 3, 0, 2, 1, 2, 2, 4, 2, 4, 3, 2, 4, 3, 1, 4, 2, 1, 0, 3, 4, 4, 3, 1, 4, 3, 3, 0, 3, 4, 2, 1, 2, 0, 3, 2, 2, 0, 1, 0, 3, 3, 3, 3, 2, 1, 0, 3, 0, 3, 2, 1, 4, 2, 4, 2, 1, 1, 2, 0, 1, 3, 2, 0]
pubkeycol1341 = [2, 1, 4, 1, 2, 1, 1, 1, 2, 1, 4, 1, 3, 3, 2, 1, 3, 1, 3, 0, 1, 4, 4, 3, 4, 1, 1, 0, 2, 4, 3, 4, 3, 2, 4, 1, 4, 4, 3, 1, 0, 2, 0, 3, 3, 2, 4, 3, 3, 1, 0, 4, 1, 3, 4, 1, 3, 4, 4, 0, 3, 3, 3, 4, 4, 0, 2, 1, 4, 2, 0, 1, 1, 4, 0, 4, 1, 4, 2, 3, 2, 0, 0, 3, 1, 0, 2, 3, 2, 0, 1, 0, 4, 3, 0, 0, 3, 1, 4, 4, 0, 2, 0, 2, 2, 0, 3, 4, 3, 2, 0, 2, 0, 3, 1, 1, 1, 0, 1, 3, 0, 2, 2, 4, 2, 4, 1, 1, 3, 3, 1, 1, 1, 3, 0, 0, 2, 2, 1, 0, 1, 0, 1, 4, 2, 2, 0, 0, 4, 0, 1, 2, 3, 0, 1, 2, 0, 0, 4, 3, 0, 4, 3, 0, 2, 2, 4, 4, 4, 1, 1, 4, 0, 3, 3, 0, 2, 4, 0, 0, 2, 3, 3, 3, 4, 1, 2, 2, 3, 3, 2, 2, 2, 1, 1, 3, 3, 2, 4, 0, 0, 0, 3, 2, 4, 0, 0, 3, 4, 1, 2, 4, 1, 2, 3, 2, 1, 0, 0, 3, 0, 1, 3, 0, 4, 4, 3, 3, 0, 3, 2, 1, 3, 4, 0, 2, 2, 3, 2, 1, 2, 4, 1, 2, 1, 2, 2, 3, 4, 3, 4, 0, 4, 3, 0, 0, 3, 0, 0, 3, 1, 0, 1, 4, 2, 2, 4, 3, 2, 0, 0, 3, 0, 4, 0, 3, 4, 3, 4, 2, 4, 2, 1, 4, 1, 0, 1, 4, 2, 1, 2, 4, 2, 2, 1, 2, 3, 1, 3, 0, 3, 2, 4, 1, 1, 2, 1, 2, 1, 2, 0, 4, 1, 0, 2, 3, 1, 2, 2, 4, 1, 1, 0, 0, 1, 1, 4, 4, 4, 3, 3, 3, 0, 1, 4, 1, 2, 4, 2, 2, 3, 3, 0, 2, 3, 1, 2, 3, 0, 0, 3, 4, 0, 3, 1, 3, 2, 0, 1, 1, 4, 0, 0, 3, 4, 3, 1, 2, 2, 1, 4, 3, 2, 0, 1, 1, 4, 3, 0, 0, 3, 3, 3, 4, 2, 3, 0, 2, 2, 1, 2, 4, 2, 0, 1, 3, 0, 2, 3, 3]
pubkeycol1342 = [4, 3, 4, 3, 3, 2, 3, 0, 0, 4, 2, 2, 1, 2, 4, 2, 2, 2, 2, 0, 4, 2, 1, 1, 4, 4, 3, 1, 0, 0, 0, 2, 0, 1, 0, 4, 1, 2, 2, 2, 4, 2, 4, 1, 1, 0, 3, 4, 1, 4, 3, 0, 4, 0, 1, 3, 3, 4, 2, 4, 0, 0, 1, 0, 4, 0, 1, 2, 2, 0, 3, 2, 1, 3, 0, 4, 3, 3, 4, 0, 4, 1, 4, 2, 3, 4, 2, 4, 0, 2, 1, 0, 3, 3, 0, 3, 0, 1, 2, 0, 3, 4, 3, 1, 4, 1, 2, 2, 1, 4, 0, 3, 3, 1, 2, 2, 4, 4, 3, 1, 1, 3, 4, 2, 4, 3, 0, 0, 4, 3, 0, 0, 1, 0, 4, 2, 0, 1, 3, 2, 1, 0, 2, 1, 2, 0, 3, 4, 4, 0, 3, 3, 2, 1, 1, 3, 2, 3, 3, 1, 0, 1, 1, 2, 1, 0, 3, 1, 3, 4, 1, 3, 1, 0, 4, 2, 4, 1, 0, 1, 0, 0, 1, 3, 4, 0, 3, 2, 3, 4, 3, 3, 1, 4, 4, 4, 1, 4, 2, 3, 1, 0, 1, 1, 3, 4, 0, 2, 4, 4, 4, 1, 1, 0, 1, 1, 0, 3, 0, 4, 0, 2, 1, 2, 1, 3, 2, 0, 2, 4, 4, 4, 0, 0, 0, 4, 2, 2, 2, 2, 2, 3, 0, 1, 2, 2, 0, 0, 0, 0, 4, 2, 0, 2, 4, 1, 2, 3, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 4, 3, 3, 4, 2, 2, 3, 0, 4, 0, 4, 0, 4, 4, 1, 2, 3, 1, 1, 2, 2, 3, 0, 2, 2, 0, 4, 0, 1, 2, 2, 1, 3, 2, 4, 3, 1, 2, 4, 2, 4, 2, 3, 1, 1, 3, 2, 3, 0, 0, 4, 4, 2, 2, 0, 0, 2, 1, 2, 1, 3, 0, 3, 3, 0, 2, 1, 1, 2, 3, 2, 3, 4, 2, 1, 2, 0, 4, 0, 0, 1, 1, 3, 1, 2, 3, 1, 3, 3, 1, 4, 2, 3, 3, 0, 3, 4, 3, 2, 0, 2, 1, 4, 2, 3, 1, 4, 1, 1, 2, 0, 4, 2, 1, 4, 0, 3, 3, 0, 1, 4, 3, 1, 1, 1, 3, 2, 2, 0, 0, 4]
pubkeycol1343 = [2, 1, 0, 3, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 4, 3, 3, 3, 0, 4, 0, 2, 2, 4, 3, 3, 1, 0, 2, 2, 2, 0, 4, 2, 2, 2, 4, 4, 2, 1, 1, 1, 1, 0, 1, 4, 2, 4, 0, 3, 3, 3, 3, 2, 2, 0, 3, 2, 4, 2, 0, 0, 1, 3, 2, 2, 3, 4, 0, 3, 2, 3, 1, 2, 1, 3, 4, 1, 3, 4, 1, 0, 4, 4, 2, 1, 4, 0, 2, 0, 4, 0, 4, 1, 4, 2, 0, 3, 0, 1, 1, 2, 0, 2, 3, 3, 3, 3, 0, 2, 3, 1, 1, 1, 3, 1, 2, 4, 4, 1, 2, 3, 2, 0, 4, 1, 3, 1, 0, 0, 3, 4, 3, 0, 3, 2, 0, 4, 3, 4, 4, 1, 3, 2, 2, 4, 3, 1, 3, 3, 3, 3, 1, 2, 1, 0, 4, 2, 1, 3, 2, 2, 2, 0, 3, 2, 3, 2, 4, 2, 4, 4, 2, 3, 1, 1, 1, 2, 2, 3, 4, 2, 0, 0, 2, 3, 4, 0, 2, 2, 2, 0, 4, 0, 3, 0, 1, 0, 2, 4, 3, 2, 4, 3, 3, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 3, 4, 1, 1, 1, 3, 0, 0, 2, 1, 1, 1, 3, 4, 1, 0, 3, 4, 4, 0, 3, 0, 0, 0, 0, 0, 4, 0, 3, 4, 0, 1, 4, 1, 0, 0, 3, 4, 0, 1, 1, 2, 4, 2, 3, 3, 3, 0, 4, 3, 4, 2, 0, 4, 1, 2, 0, 2, 3, 0, 2, 1, 2, 2, 0, 2, 3, 4, 3, 3, 0, 0, 4, 0, 2, 0, 3, 4, 2, 2, 0, 0, 2, 1, 1, 2, 2, 4, 4, 2, 0, 1, 2, 1, 4, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 4, 4, 1, 2, 1, 0, 1, 0, 2, 2, 3, 4, 1, 4, 1, 0, 0, 0, 3, 2, 3, 4, 3, 4, 4, 4, 1, 2, 3, 1, 3, 3, 0, 4, 0, 3, 2, 4, 3, 1, 1, 3, 4, 0, 1, 4, 2, 0, 3, 0, 2, 1, 4, 1, 2, 3, 2, 2, 4, 2, 2, 3, 0, 2, 1, 1, 4, 2, 3]
pubkeycol1344 = [0, 0, 1, 4, 2, 0, 1, 2, 3, 4, 3, 2, 4, 0, 0, 1, 2, 3, 2, 2, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 3, 0, 1, 2, 1, 0, 4, 3, 1, 2, 0, 0, 4, 3, 1, 2, 3, 2, 1, 0, 1, 4, 1, 1, 4, 0, 2, 1, 3, 2, 4, 4, 3, 1, 0, 3, 4, 4, 0, 0, 0, 1, 4, 0, 1, 1, 3, 4, 1, 1, 4, 2, 2, 2, 1, 2, 3, 4, 1, 3, 2, 3, 0, 3, 4, 4, 2, 2, 0, 0, 3, 3, 3, 3, 4, 3, 0, 3, 4, 3, 4, 2, 0, 3, 0, 2, 4, 4, 4, 2, 3, 4, 1, 0, 2, 4, 2, 2, 3, 2, 2, 2, 0, 4, 1, 1, 3, 1, 4, 3, 1, 3, 2, 4, 2, 3, 1, 1, 3, 0, 0, 4, 0, 1, 4, 1, 1, 1, 1, 2, 2, 0, 4, 4, 4, 4, 0, 3, 2, 4, 1, 0, 4, 0, 0, 3, 0, 0, 0, 0, 4, 3, 4, 1, 4, 4, 2, 4, 3, 1, 1, 3, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 3, 2, 2, 4, 0, 2, 1, 2, 1, 2, 2, 1, 3, 4, 0, 3, 1, 0, 2, 2, 3, 3, 4, 1, 2, 1, 0, 4, 4, 3, 0, 0, 4, 0, 1, 1, 0, 4, 1, 0, 2, 0, 2, 2, 0, 4, 1, 0, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 0, 2, 2, 2, 1, 4, 2, 2, 4, 1, 1, 1, 2, 2, 3, 0, 0, 4, 4, 1, 1, 2, 1, 3, 2, 0, 0, 1, 2, 4, 3, 2, 0, 2, 3, 3, 2, 0, 0, 1, 3, 4, 2, 0, 2, 1, 0, 2, 4, 4, 4, 4, 3, 2, 0, 2, 2, 3, 2, 2, 4, 4, 3, 2, 0, 4, 4, 2, 4, 4, 1, 3, 4, 3, 0, 1, 0, 4, 1, 1, 0, 0, 3, 0, 1, 4, 1, 0, 2, 2, 0, 2, 3, 1, 0, 2, 1, 4, 2, 2, 3, 4, 4, 3, 1, 4, 3, 4, 3, 0, 2, 0, 1, 2, 4, 4, 4, 2, 4, 4, 2, 0, 4, 1, 4, 4, 1, 3, 3, 3, 4, 1, 0, 1, 0]
pubkeycol1345 = [4, 4, 0, 2, 4, 1, 2, 1, 1, 4, 4, 1, 0, 0, 2, 3, 0, 2, 2, 0, 2, 0, 1, 1, 0, 3, 3, 4, 4, 0, 2, 1, 1, 0, 0, 1, 3, 4, 4, 3, 3, 0, 4, 2, 0, 1, 0, 3, 4, 2, 3, 1, 4, 4, 1, 1, 3, 1, 2, 4, 0, 2, 0, 2, 3, 0, 3, 2, 4, 3, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 3, 4, 4, 2, 4, 2, 1, 0, 1, 0, 1, 0, 0, 3, 3, 1, 1, 2, 3, 2, 1, 2, 3, 4, 1, 2, 3, 4, 4, 0, 2, 2, 0, 2, 3, 2, 1, 4, 3, 1, 2, 3, 1, 3, 2, 3, 1, 4, 4, 2, 1, 2, 1, 2, 0, 3, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 3, 3, 0, 1, 2, 1, 0, 0, 1, 3, 0, 2, 4, 3, 2, 4, 1, 1, 2, 3, 3, 0, 3, 1, 2, 3, 1, 1, 0, 4, 1, 0, 1, 3, 1, 1, 3, 2, 0, 2, 0, 0, 4, 3, 4, 4, 1, 0, 3, 3, 2, 3, 1, 3, 1, 4, 4, 3, 1, 1, 4, 2, 4, 1, 1, 4, 0, 2, 1, 1, 0, 2, 0, 1, 2, 4, 3, 4, 2, 4, 3, 3, 4, 2, 2, 2, 1, 3, 1, 2, 3, 3, 0, 2, 1, 0, 3, 4, 4, 4, 1, 2, 4, 3, 1, 4, 1, 4, 4, 1, 1, 3, 3, 0, 2, 0, 2, 0, 3, 2, 2, 0, 2, 1, 2, 0, 3, 0, 2, 0, 4, 1, 2, 2, 3, 0, 3, 4, 4, 1, 3, 4, 2, 1, 1, 0, 1, 2, 3, 2, 0, 3, 1, 2, 3, 4, 3, 2, 4, 3, 4, 2, 2, 2, 2, 2, 0, 2, 3, 2, 0, 3, 0, 2, 0, 3, 3, 3, 1, 0, 4, 4, 3, 1, 3, 4, 1, 4, 4, 0, 3, 1, 4, 2, 4, 0, 1, 4, 2, 0, 3, 0, 0, 2, 4, 1, 3, 0, 0, 0, 2, 3, 1, 3, 3, 3, 3, 4, 1, 1, 0, 0, 0, 0, 0, 3, 1, 0, 3, 2, 0, 0, 0, 4, 4, 2, 3, 1, 3, 0, 4, 4, 1, 2, 3, 3, 4, 1, 1, 0]
pubkeycol1346 = [2, 4, 3, 2, 1, 0, 1, 4, 0, 3, 3, 2, 3, 0, 2, 2, 2, 4, 1, 1, 0, 0, 1, 0, 3, 2, 3, 2, 4, 1, 1, 4, 2, 1, 2, 4, 4, 4, 0, 2, 2, 3, 4, 3, 0, 3, 3, 1, 3, 2, 0, 3, 4, 1, 1, 1, 1, 0, 3, 4, 0, 0, 1, 3, 2, 1, 0, 0, 4, 3, 4, 0, 3, 0, 1, 1, 0, 0, 0, 0, 3, 2, 0, 1, 0, 4, 1, 4, 0, 1, 1, 2, 1, 0, 2, 3, 4, 1, 2, 0, 1, 1, 2, 1, 0, 3, 0, 0, 2, 1, 1, 3, 0, 4, 4, 3, 3, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 4, 4, 0, 1, 0, 4, 0, 1, 4, 4, 0, 3, 1, 0, 3, 2, 1, 1, 1, 0, 1, 2, 3, 4, 3, 0, 3, 2, 0, 2, 0, 0, 0, 4, 2, 1, 3, 0, 3, 2, 0, 1, 1, 4, 4, 4, 1, 0, 4, 0, 3, 2, 4, 4, 0, 2, 4, 4, 0, 0, 4, 3, 3, 4, 0, 0, 0, 3, 1, 3, 2, 0, 3, 1, 4, 1, 1, 4, 0, 3, 1, 0, 4, 4, 1, 3, 0, 1, 4, 1, 4, 2, 1, 4, 3, 4, 3, 2, 4, 0, 2, 1, 3, 1, 2, 2, 3, 3, 1, 1, 1, 2, 3, 4, 4, 1, 1, 2, 0, 4, 0, 3, 4, 1, 1, 3, 1, 4, 2, 1, 2, 2, 1, 2, 3, 4, 1, 0, 4, 3, 1, 0, 1, 1, 2, 1, 4, 4, 1, 1, 1, 2, 1, 0, 2, 1, 1, 3, 0, 3, 1, 2, 2, 4, 3, 1, 4, 0, 2, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 4, 1, 0, 4, 2, 2, 1, 1, 3, 2, 2, 1, 0, 0, 0, 1, 0, 2, 4, 1, 1, 4, 1, 2, 1, 1, 3, 3, 2, 1, 4, 0, 3, 4, 0, 2, 2, 4, 0, 0, 2, 1, 2, 0, 4, 2, 3, 0, 3, 2, 1, 0, 0, 3, 0, 2, 3, 1, 3, 3, 1, 3, 1, 3, 4, 0, 1, 3, 3, 0, 3, 3, 4, 2, 3, 3, 4, 1, 3, 0, 2, 3, 4, 4, 3, 4, 0, 0, 2]
pubkeycol1347 = [1, 1, 2, 4, 0, 0, 0, 2, 0, 4, 4, 4, 4, 3, 0, 3, 4, 2, 3, 0, 3, 3, 4, 0, 4, 1, 3, 3, 2, 1, 2, 3, 2, 2, 3, 1, 2, 2, 4, 0, 4, 2, 0, 2, 0, 2, 2, 4, 2, 0, 4, 2, 3, 4, 2, 0, 3, 0, 2, 0, 3, 1, 1, 0, 3, 1, 3, 3, 3, 1, 3, 0, 4, 1, 2, 2, 0, 3, 0, 2, 0, 1, 2, 3, 4, 4, 1, 4, 0, 4, 4, 3, 4, 4, 3, 4, 1, 1, 0, 4, 3, 4, 2, 4, 0, 3, 2, 3, 1, 4, 3, 4, 1, 3, 3, 4, 1, 3, 1, 4, 4, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 3, 3, 2, 3, 1, 2, 4, 1, 2, 4, 0, 3, 4, 0, 4, 0, 4, 1, 3, 2, 2, 3, 2, 2, 4, 0, 3, 4, 2, 2, 2, 1, 3, 1, 2, 1, 4, 1, 2, 2, 1, 1, 3, 4, 2, 1, 2, 3, 1, 3, 4, 0, 2, 2, 1, 1, 4, 4, 3, 3, 4, 4, 3, 4, 3, 2, 1, 2, 0, 0, 2, 2, 0, 4, 0, 0, 2, 0, 4, 2, 0, 0, 3, 2, 2, 4, 4, 4, 3, 4, 4, 2, 2, 0, 1, 0, 0, 0, 4, 0, 3, 2, 2, 4, 3, 3, 2, 2, 1, 0, 3, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 3, 4, 3, 0, 1, 1, 4, 0, 1, 1, 0, 1, 3, 3, 1, 0, 3, 0, 3, 1, 3, 1, 4, 3, 1, 2, 0, 3, 2, 2, 3, 4, 2, 4, 4, 2, 4, 2, 1, 4, 1, 3, 0, 2, 4, 0, 4, 1, 2, 3, 4, 3, 1, 1, 1, 4, 3, 0, 4, 1, 4, 0, 3, 3, 0, 4, 2, 0, 0, 2, 2, 3, 0, 0, 2, 0, 4, 1, 4, 3, 4, 1, 0, 1, 2, 1, 4, 4, 2, 4, 1, 3, 0, 1, 2, 4, 2, 0, 3, 0, 2, 3, 3, 0, 2, 2, 4, 4, 3, 0, 0, 2, 0, 3, 3, 0, 0, 0, 0, 4, 2, 3, 0, 2, 0, 2, 0, 2, 0, 4, 0, 3, 2, 1, 4, 4, 4, 1, 2, 4, 1, 4, 3, 3, 1, 4, 2, 3]
pubkeycol1348 = [2, 1, 2, 1, 4, 4, 2, 1, 2, 2, 3, 0, 4, 4, 1, 4, 2, 0, 1, 1, 0, 1, 2, 4, 1, 4, 4, 0, 2, 1, 3, 0, 1, 3, 1, 3, 4, 2, 1, 2, 4, 2, 3, 2, 1, 0, 1, 3, 1, 3, 3, 4, 0, 4, 4, 4, 3, 1, 4, 0, 1, 1, 1, 1, 3, 2, 2, 1, 3, 1, 1, 4, 3, 2, 1, 1, 4, 2, 4, 4, 2, 4, 3, 1, 3, 1, 1, 2, 4, 2, 4, 1, 0, 1, 0, 2, 3, 4, 2, 4, 4, 4, 4, 2, 1, 1, 1, 2, 0, 2, 3, 2, 2, 0, 0, 0, 3, 4, 0, 1, 4, 2, 2, 2, 3, 2, 0, 2, 0, 4, 3, 3, 0, 4, 4, 1, 0, 0, 0, 2, 2, 3, 4, 3, 0, 1, 2, 4, 0, 2, 1, 3, 3, 1, 4, 1, 3, 2, 0, 0, 3, 1, 1, 2, 2, 4, 2, 4, 2, 3, 0, 2, 4, 2, 3, 1, 2, 1, 3, 2, 4, 4, 4, 0, 1, 1, 0, 4, 2, 2, 1, 1, 3, 1, 1, 0, 4, 4, 2, 4, 2, 2, 4, 0, 2, 3, 3, 1, 3, 1, 1, 1, 0, 2, 1, 1, 3, 3, 1, 0, 3, 0, 2, 0, 3, 1, 3, 4, 2, 2, 3, 2, 1, 1, 3, 1, 2, 3, 0, 2, 1, 3, 1, 3, 1, 1, 3, 1, 0, 4, 0, 1, 0, 1, 0, 4, 4, 1, 3, 0, 2, 3, 1, 4, 4, 1, 3, 3, 4, 2, 1, 0, 3, 0, 1, 2, 4, 1, 1, 2, 2, 3, 2, 0, 2, 3, 0, 3, 4, 3, 4, 0, 1, 1, 4, 4, 1, 1, 2, 1, 1, 3, 1, 0, 0, 4, 0, 0, 4, 3, 1, 4, 4, 2, 3, 4, 2, 1, 2, 3, 4, 1, 4, 3, 2, 1, 2, 0, 3, 4, 0, 1, 4, 2, 1, 4, 1, 1, 0, 2, 2, 1, 4, 3, 4, 0, 3, 2, 1, 4, 3, 0, 4, 4, 0, 4, 4, 4, 3, 4, 4, 1, 0, 0, 4, 3, 0, 2, 4, 0, 3, 2, 1, 1, 2, 3, 3, 2, 0, 2, 0, 4, 0, 0, 1, 3, 0, 4, 4, 1, 0, 3, 0, 2, 3, 4, 0, 0, 2, 4]
pubkeycol1349 = [4, 2, 4, 0, 3, 3, 1, 2, 3, 0, 0, 0, 1, 3, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 4, 2, 3, 0, 0, 1, 2, 3, 0, 4, 0, 1, 3, 2, 3, 4, 4, 2, 2, 3, 4, 1, 0, 1, 3, 4, 1, 0, 4, 3, 2, 3, 3, 0, 0, 2, 1, 1, 0, 4, 2, 1, 3, 0, 4, 4, 1, 3, 1, 4, 4, 1, 1, 4, 3, 4, 0, 1, 0, 4, 0, 0, 3, 0, 3, 1, 4, 3, 3, 1, 4, 4, 0, 1, 2, 0, 4, 0, 1, 2, 1, 4, 1, 0, 1, 0, 2, 1, 4, 4, 0, 1, 1, 2, 3, 1, 4, 1, 1, 3, 0, 1, 1, 2, 3, 4, 2, 4, 1, 4, 2, 1, 0, 3, 2, 1, 0, 2, 1, 3, 0, 3, 3, 2, 4, 4, 0, 1, 2, 4, 4, 2, 2, 4, 2, 3, 3, 2, 0, 1, 0, 3, 1, 2, 0, 4, 1, 4, 1, 1, 4, 3, 2, 1, 2, 2, 4, 2, 4, 4, 2, 1, 3, 4, 1, 1, 0, 3, 0, 0, 4, 2, 2, 4, 3, 2, 4, 0, 3, 4, 2, 3, 3, 1, 3, 2, 3, 3, 3, 1, 0, 0, 3, 2, 1, 1, 2, 0, 2, 4, 3, 2, 3, 4, 4, 3, 1, 2, 1, 2, 4, 3, 3, 1, 4, 1, 0, 4, 1, 1, 4, 2, 3, 1, 4, 2, 0, 3, 2, 0, 3, 3, 3, 0, 4, 0, 3, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 3, 4, 0, 4, 2, 1, 4, 4, 1, 1, 0, 4, 4, 1, 2, 4, 0, 3, 4, 2, 2, 2, 1, 1, 1, 0, 4, 1, 0, 4, 2, 2, 0, 1, 0, 3, 1, 1, 3, 3, 0, 4, 4, 1, 2, 0, 3, 1, 0, 0, 0, 1, 4, 4, 2, 1, 0, 2, 3, 1, 2, 3, 4, 2, 2, 2, 2, 3, 2, 4, 3, 4, 2, 2, 0, 3, 4, 1, 4, 0, 4, 3, 3, 4, 2, 3, 1, 3, 0, 4, 1, 1, 1, 1, 2, 2, 0, 4, 0, 0, 3, 4, 1, 0, 4, 3, 4, 0, 4, 4, 2, 0, 3, 3, 4, 1, 3, 1, 3, 4, 0, 2, 4, 3, 0, 2, 1, 1]
pubkeycol1350 = [1, 2, 1, 2, 1, 3, 1, 2, 3, 0, 2, 4, 2, 4, 2, 4, 1, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 3, 1, 3, 4, 3, 1, 3, 3, 1, 2, 2, 0, 4, 0, 4, 2, 2, 2, 2, 1, 4, 2, 2, 2, 1, 0, 3, 1, 0, 4, 2, 0, 0, 4, 2, 2, 3, 4, 2, 0, 0, 2, 2, 3, 1, 0, 2, 1, 2, 3, 3, 3, 1, 1, 1, 4, 3, 2, 1, 1, 3, 4, 4, 0, 3, 0, 1, 1, 2, 3, 3, 0, 1, 2, 3, 2, 3, 3, 3, 2, 1, 1, 4, 0, 1, 1, 1, 2, 2, 2, 0, 3, 3, 3, 3, 4, 2, 1, 0, 4, 2, 2, 1, 2, 4, 4, 1, 0, 1, 2, 4, 0, 0, 0, 4, 1, 2, 4, 2, 4, 1, 3, 4, 0, 3, 3, 1, 4, 3, 2, 3, 1, 2, 4, 0, 0, 2, 2, 4, 1, 2, 0, 2, 3, 0, 0, 3, 4, 2, 2, 4, 0, 0, 3, 4, 4, 1, 1, 2, 0, 1, 1, 2, 1, 3, 1, 1, 3, 3, 3, 1, 2, 1, 3, 4, 2, 1, 2, 1, 2, 3, 3, 4, 1, 2, 3, 0, 3, 1, 2, 3, 0, 2, 3, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 4, 3, 1, 3, 0, 2, 0, 1, 4, 4, 4, 4, 3, 3, 3, 1, 0, 2, 4, 1, 4, 2, 4, 3, 0, 1, 4, 3, 3, 3, 0, 4, 1, 2, 4, 3, 0, 3, 3, 1, 0, 2, 3, 2, 4, 2, 0, 0, 2, 4, 1, 4, 1, 4, 1, 0, 0, 3, 0, 2, 4, 0, 3, 1, 0, 4, 2, 3, 1, 4, 4, 3, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 4, 3, 1, 0, 4, 0, 3, 2, 4, 0, 4, 2, 4, 2, 1, 3, 2, 4, 0, 1, 4, 0, 3, 0, 0, 1, 2, 1, 0, 3, 2, 2, 0, 1, 1, 2, 0, 4, 3, 2, 2, 4, 2, 1, 4, 4, 0, 0, 4, 1, 2, 2, 0, 4, 0, 0, 0, 3, 2, 1, 3, 3, 2, 0, 4, 2, 3, 3, 3, 3, 1, 4, 2, 2, 0, 2, 3, 3, 2, 2, 0]
pubkeycol1351 = [2, 2, 1, 3, 4, 0, 3, 0, 0, 4, 2, 2, 1, 0, 2, 0, 3, 1, 0, 1, 0, 4, 1, 1, 1, 3, 0, 1, 2, 1, 2, 0, 1, 1, 1, 4, 0, 1, 3, 0, 4, 1, 0, 0, 4, 4, 1, 4, 4, 3, 0, 2, 3, 4, 4, 2, 2, 1, 1, 1, 2, 1, 4, 1, 2, 1, 1, 3, 3, 2, 3, 0, 0, 0, 1, 0, 3, 1, 3, 3, 2, 2, 0, 0, 3, 4, 3, 3, 4, 0, 1, 2, 3, 0, 3, 3, 1, 1, 3, 2, 2, 2, 2, 3, 1, 3, 4, 3, 3, 0, 1, 3, 0, 3, 3, 1, 1, 2, 4, 2, 3, 0, 4, 0, 4, 4, 2, 2, 1, 2, 0, 4, 2, 1, 2, 2, 4, 4, 2, 1, 3, 0, 3, 2, 0, 3, 2, 4, 0, 0, 4, 1, 0, 2, 2, 3, 3, 1, 0, 0, 0, 2, 0, 0, 2, 2, 3, 3, 3, 2, 2, 1, 0, 2, 0, 4, 0, 4, 3, 3, 3, 0, 0, 4, 0, 1, 4, 2, 4, 2, 0, 3, 1, 4, 0, 2, 4, 1, 0, 3, 4, 3, 2, 3, 2, 3, 2, 3, 0, 1, 0, 3, 4, 2, 3, 0, 4, 0, 1, 3, 4, 0, 3, 3, 1, 1, 3, 4, 4, 3, 4, 3, 4, 3, 0, 0, 4, 2, 4, 0, 1, 2, 1, 0, 2, 2, 2, 4, 4, 0, 3, 3, 1, 0, 3, 2, 1, 2, 0, 1, 4, 2, 3, 3, 4, 0, 1, 0, 0, 0, 4, 2, 0, 3, 2, 1, 1, 1, 1, 0, 0, 3, 2, 1, 1, 1, 4, 4, 0, 2, 4, 1, 1, 1, 0, 2, 0, 3, 1, 0, 0, 4, 4, 3, 3, 2, 1, 2, 3, 4, 1, 1, 3, 3, 2, 3, 4, 1, 4, 4, 2, 1, 4, 4, 1, 3, 2, 2, 0, 0, 2, 4, 1, 2, 1, 3, 1, 0, 1, 0, 2, 1, 3, 2, 1, 1, 4, 0, 0, 1, 0, 2, 1, 3, 3, 0, 0, 2, 3, 2, 1, 0, 2, 3, 1, 4, 0, 1, 2, 1, 0, 3, 0, 4, 2, 4, 2, 1, 3, 3, 0, 1, 4, 0, 2, 0, 1, 2, 4, 4, 1, 2, 1, 3, 0, 0, 1, 4, 4, 0]
pubkeycol1352 = [3, 1, 0, 3, 2, 1, 2, 2, 4, 4, 3, 0, 1, 3, 0, 3, 3, 4, 1, 0, 2, 3, 4, 4, 0, 0, 3, 2, 0, 0, 0, 4, 0, 1, 1, 0, 4, 1, 2, 0, 2, 1, 4, 0, 3, 3, 2, 0, 0, 1, 4, 2, 3, 3, 1, 3, 2, 2, 4, 3, 3, 3, 0, 2, 4, 0, 0, 3, 4, 0, 3, 1, 3, 4, 4, 1, 2, 2, 0, 1, 3, 2, 1, 1, 4, 4, 4, 3, 3, 4, 1, 0, 3, 4, 1, 0, 1, 4, 4, 4, 3, 4, 0, 0, 0, 1, 2, 1, 4, 4, 3, 4, 2, 1, 1, 4, 0, 3, 3, 2, 1, 0, 4, 3, 4, 0, 2, 4, 2, 1, 4, 0, 3, 2, 3, 1, 2, 0, 2, 2, 3, 2, 1, 1, 3, 0, 1, 2, 4, 1, 0, 0, 1, 4, 0, 0, 3, 4, 1, 2, 3, 0, 4, 0, 0, 1, 3, 0, 2, 2, 0, 0, 1, 1, 4, 1, 4, 1, 4, 3, 2, 3, 2, 4, 0, 3, 2, 1, 0, 0, 1, 0, 2, 4, 0, 1, 0, 0, 1, 0, 1, 1, 1, 4, 1, 1, 3, 0, 0, 0, 2, 4, 2, 1, 4, 0, 2, 2, 1, 4, 0, 3, 4, 4, 3, 2, 0, 1, 1, 2, 0, 1, 3, 0, 1, 1, 2, 3, 4, 3, 1, 4, 3, 3, 1, 1, 3, 3, 1, 0, 4, 4, 4, 1, 4, 0, 2, 2, 2, 3, 1, 3, 4, 0, 3, 3, 1, 2, 0, 1, 4, 4, 4, 2, 2, 1, 0, 2, 4, 4, 1, 1, 0, 3, 3, 4, 3, 0, 2, 2, 2, 0, 0, 1, 4, 2, 1, 0, 0, 4, 4, 2, 4, 1, 3, 3, 3, 3, 2, 1, 3, 2, 2, 0, 2, 3, 4, 1, 0, 0, 1, 1, 3, 4, 3, 3, 3, 1, 3, 4, 4, 4, 1, 1, 4, 2, 0, 4, 2, 2, 0, 4, 4, 1, 1, 1, 2, 4, 4, 1, 3, 3, 2, 1, 0, 1, 0, 3, 3, 2, 3, 3, 2, 4, 4, 4, 4, 4, 1, 3, 3, 2, 2, 2, 4, 3, 0, 4, 4, 2, 3, 3, 0, 2, 1, 2, 1, 3, 2, 0, 3, 3, 0, 4, 0, 1, 4, 4, 4, 0]
pubkeycol1353 = [1, 1, 4, 3, 2, 0, 1, 1, 1, 1, 4, 0, 0, 4, 3, 4, 0, 2, 3, 4, 4, 4, 4, 4, 3, 1, 4, 0, 4, 2, 0, 3, 2, 4, 0, 0, 4, 4, 2, 0, 1, 3, 2, 1, 4, 3, 2, 4, 0, 1, 1, 0, 2, 3, 1, 1, 4, 4, 1, 0, 3, 3, 3, 3, 4, 4, 4, 2, 4, 3, 2, 1, 0, 0, 4, 4, 1, 3, 1, 1, 2, 2, 2, 0, 2, 4, 4, 2, 1, 1, 3, 0, 1, 3, 0, 3, 0, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 4, 3, 0, 0, 3, 0, 3, 3, 1, 1, 2, 1, 3, 0, 3, 3, 2, 0, 3, 4, 3, 0, 1, 4, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 4, 0, 3, 3, 3, 3, 1, 1, 2, 1, 2, 1, 4, 4, 4, 3, 1, 3, 0, 3, 3, 4, 4, 0, 2, 3, 2, 4, 0, 2, 1, 3, 3, 3, 0, 2, 2, 1, 4, 3, 1, 2, 4, 1, 1, 3, 2, 0, 4, 4, 1, 3, 4, 2, 1, 2, 0, 2, 0, 1, 0, 0, 3, 2, 1, 4, 4, 0, 3, 1, 3, 3, 4, 3, 1, 3, 3, 0, 3, 3, 2, 1, 1, 1, 4, 4, 1, 1, 2, 3, 4, 2, 0, 2, 2, 4, 4, 0, 1, 4, 3, 1, 4, 4, 1, 2, 0, 0, 4, 3, 1, 2, 3, 0, 3, 4, 2, 2, 0, 4, 0, 2, 3, 0, 1, 1, 1, 3, 1, 2, 4, 1, 2, 4, 3, 4, 2, 1, 3, 3, 0, 0, 3, 4, 2, 0, 0, 1, 1, 3, 1, 0, 2, 1, 2, 3, 0, 1, 1, 3, 0, 2, 3, 2, 2, 4, 4, 1, 1, 0, 2, 1, 3, 0, 3, 0, 3, 2, 0, 3, 2, 4, 3, 4, 1, 4, 1, 2, 1, 4, 3, 3, 1, 1, 4, 1, 1, 2, 2, 2, 3, 2, 1, 4, 0, 2, 0, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 4, 0, 1, 0, 3, 4, 4, 0, 4, 3, 3, 4, 0, 2, 2, 2, 0, 3, 3, 1, 0, 2, 2, 0, 4, 1, 0, 2, 1, 3, 0, 1, 3, 4, 2, 4, 1, 0]
pubkeycol1354 = [0, 0, 4, 0, 2, 3, 4, 0, 3, 0, 4, 4, 2, 2, 2, 4, 0, 4, 2, 2, 0, 4, 1, 4, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 4, 4, 3, 3, 2, 3, 3, 2, 0, 4, 2, 3, 2, 3, 2, 1, 1, 1, 1, 0, 0, 4, 2, 2, 4, 4, 3, 2, 1, 3, 4, 1, 0, 3, 4, 1, 1, 0, 1, 2, 4, 4, 1, 0, 3, 1, 1, 4, 4, 2, 1, 3, 2, 3, 4, 3, 1, 0, 0, 2, 4, 0, 4, 3, 1, 3, 3, 3, 2, 0, 4, 2, 4, 0, 3, 0, 0, 1, 4, 3, 0, 4, 1, 4, 3, 4, 3, 1, 4, 1, 0, 4, 2, 1, 4, 0, 2, 1, 2, 1, 0, 3, 3, 3, 3, 1, 0, 4, 3, 2, 2, 4, 4, 3, 1, 4, 2, 0, 2, 3, 0, 2, 3, 3, 3, 1, 4, 1, 4, 3, 1, 3, 2, 2, 4, 0, 1, 2, 4, 2, 2, 3, 3, 3, 4, 0, 4, 2, 4, 0, 2, 3, 1, 4, 0, 4, 0, 0, 0, 0, 2, 3, 3, 4, 0, 4, 4, 0, 0, 3, 1, 3, 0, 3, 0, 1, 4, 2, 3, 2, 2, 4, 1, 1, 1, 0, 4, 0, 3, 4, 0, 3, 1, 4, 1, 1, 4, 4, 0, 1, 4, 3, 0, 0, 0, 3, 2, 1, 3, 0, 4, 4, 3, 4, 4, 4, 2, 4, 1, 0, 2, 1, 3, 0, 3, 4, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 4, 3, 2, 2, 3, 1, 0, 2, 3, 1, 0, 0, 4, 2, 0, 0, 2, 0, 0, 4, 4, 4, 2, 2, 2, 4, 0, 1, 3, 3, 2, 1, 2, 0, 3, 1, 0, 0, 0, 1, 3, 0, 0, 0, 1, 1, 1, 4, 4, 0, 2, 4, 1, 3, 4, 3, 2, 2, 1, 4, 4, 2, 3, 4, 1, 0, 0, 0, 1, 3, 1, 0, 3, 4, 1, 1, 2, 3, 2, 4, 0, 1, 0, 3, 4, 3, 1, 3, 4, 2, 4, 2, 3, 1, 1, 3, 2, 2, 3, 3, 0, 2, 2, 4, 4, 0, 4, 0, 1, 4, 1, 1, 2, 0, 0, 0, 0, 4, 3, 2, 2, 0, 2, 4, 2, 3, 3, 2, 0, 3]
pubkeycol1355 = [0, 4, 0, 4, 1, 1, 3, 2, 2, 0, 0, 0, 0, 4, 1, 3, 3, 0, 4, 1, 1, 0, 2, 0, 4, 4, 0, 4, 4, 3, 2, 2, 0, 4, 1, 2, 1, 3, 1, 0, 4, 4, 2, 0, 2, 3, 4, 0, 1, 3, 2, 3, 4, 1, 4, 0, 1, 3, 0, 2, 3, 4, 2, 0, 4, 3, 0, 0, 2, 4, 1, 0, 1, 4, 0, 2, 3, 4, 0, 0, 4, 1, 3, 4, 3, 3, 4, 3, 3, 1, 4, 4, 4, 1, 0, 2, 4, 1, 4, 4, 0, 2, 1, 3, 3, 4, 2, 4, 0, 4, 0, 2, 3, 2, 4, 4, 0, 2, 1, 3, 4, 0, 3, 1, 4, 1, 2, 4, 3, 0, 3, 3, 1, 0, 1, 1, 2, 4, 3, 0, 0, 1, 1, 2, 4, 3, 1, 1, 3, 1, 1, 1, 2, 1, 4, 3, 1, 4, 1, 4, 3, 2, 1, 4, 4, 0, 0, 0, 1, 0, 3, 4, 1, 1, 4, 1, 2, 3, 4, 4, 4, 1, 0, 4, 3, 4, 2, 4, 3, 1, 4, 1, 3, 2, 1, 4, 1, 3, 1, 2, 3, 2, 3, 1, 2, 3, 3, 3, 4, 3, 2, 0, 2, 1, 3, 2, 3, 0, 2, 1, 1, 3, 0, 3, 2, 3, 0, 1, 0, 4, 1, 4, 4, 0, 2, 3, 0, 3, 2, 4, 2, 4, 4, 4, 1, 4, 2, 0, 3, 1, 4, 3, 4, 4, 2, 3, 4, 2, 4, 3, 3, 2, 1, 2, 1, 1, 0, 0, 4, 2, 4, 4, 3, 0, 3, 1, 3, 4, 4, 3, 4, 2, 2, 3, 0, 2, 3, 3, 0, 4, 0, 2, 2, 1, 3, 4, 2, 4, 3, 1, 4, 1, 2, 0, 2, 1, 3, 2, 3, 2, 3, 1, 4, 3, 2, 3, 0, 2, 4, 3, 2, 1, 4, 0, 4, 3, 1, 1, 4, 0, 1, 2, 2, 1, 2, 4, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 3, 1, 0, 1, 2, 1, 0, 1, 3, 3, 4, 2, 1, 3, 3, 0, 1, 1, 0, 2, 2, 0, 1, 4, 3, 3, 2, 3, 4, 0, 0, 3, 4, 2, 3, 0, 0, 1, 0, 1, 4, 2, 2, 0, 0, 2, 4, 0, 1, 3, 1, 1, 1, 2]
pubkeycol1356 = [4, 2, 3, 0, 1, 2, 4, 4, 4, 0, 2, 3, 2, 1, 0, 3, 3, 4, 3, 1, 4, 2, 3, 3, 2, 3, 4, 3, 4, 2, 2, 4, 1, 4, 2, 0, 1, 1, 3, 4, 4, 1, 2, 3, 1, 3, 0, 1, 2, 0, 0, 4, 1, 3, 4, 3, 1, 4, 3, 2, 0, 4, 2, 4, 0, 1, 2, 1, 3, 4, 0, 4, 3, 2, 3, 4, 3, 4, 0, 2, 3, 2, 2, 1, 0, 0, 1, 4, 3, 1, 3, 0, 1, 3, 0, 1, 1, 0, 1, 0, 3, 3, 4, 1, 2, 1, 3, 0, 0, 2, 3, 3, 0, 4, 4, 0, 4, 4, 1, 3, 0, 4, 1, 0, 2, 2, 2, 4, 2, 1, 1, 4, 0, 4, 2, 3, 4, 4, 3, 1, 2, 4, 3, 1, 0, 2, 0, 4, 4, 0, 4, 4, 1, 4, 2, 1, 3, 1, 2, 1, 0, 0, 4, 1, 0, 4, 4, 2, 2, 3, 4, 4, 4, 4, 3, 2, 4, 2, 2, 2, 0, 3, 4, 0, 2, 4, 4, 0, 2, 2, 0, 4, 0, 3, 3, 3, 4, 0, 3, 2, 1, 0, 1, 0, 3, 0, 0, 2, 0, 0, 4, 3, 4, 4, 3, 1, 2, 0, 2, 3, 4, 0, 1, 4, 1, 1, 0, 2, 0, 3, 2, 1, 4, 3, 1, 2, 3, 3, 2, 0, 1, 1, 2, 3, 1, 1, 1, 4, 1, 0, 3, 0, 1, 2, 0, 2, 0, 4, 1, 0, 1, 0, 3, 1, 4, 3, 0, 3, 2, 4, 3, 4, 0, 2, 2, 4, 2, 4, 1, 3, 1, 0, 0, 3, 4, 2, 2, 4, 2, 4, 1, 4, 3, 2, 0, 4, 4, 0, 2, 3, 4, 3, 3, 4, 1, 0, 4, 4, 3, 1, 4, 4, 2, 0, 4, 2, 2, 3, 0, 4, 3, 1, 1, 3, 0, 0, 3, 3, 3, 1, 1, 2, 4, 3, 0, 3, 3, 0, 0, 4, 1, 2, 3, 4, 3, 1, 4, 3, 1, 2, 3, 4, 4, 2, 0, 3, 0, 2, 0, 3, 3, 0, 2, 2, 0, 2, 0, 1, 1, 4, 3, 3, 0, 0, 2, 2, 3, 3, 2, 4, 2, 2, 0, 4, 2, 1, 0, 3, 2, 3, 2, 3, 4, 3, 3, 1, 1, 2, 1, 3]
pubkeycol1357 = [4, 4, 0, 2, 1, 4, 3, 1, 3, 0, 0, 1, 2, 1, 1, 4, 2, 4, 4, 1, 0, 2, 3, 3, 1, 0, 0, 0, 4, 3, 1, 1, 4, 2, 3, 1, 2, 3, 3, 0, 4, 4, 2, 1, 3, 1, 0, 1, 2, 2, 2, 1, 2, 0, 3, 0, 0, 1, 3, 4, 1, 0, 3, 3, 1, 3, 3, 0, 4, 4, 2, 2, 1, 2, 1, 1, 3, 3, 1, 3, 0, 4, 3, 3, 4, 0, 0, 2, 0, 2, 3, 2, 0, 2, 3, 3, 0, 1, 0, 2, 0, 4, 0, 3, 0, 2, 4, 2, 4, 4, 4, 1, 3, 1, 1, 0, 2, 1, 2, 4, 2, 1, 0, 0, 4, 3, 1, 3, 3, 1, 2, 1, 4, 4, 1, 1, 2, 0, 4, 1, 0, 1, 2, 4, 0, 2, 1, 2, 0, 1, 4, 2, 1, 0, 4, 3, 0, 4, 2, 1, 4, 1, 1, 1, 4, 2, 0, 1, 2, 2, 0, 4, 0, 2, 1, 4, 0, 3, 2, 2, 3, 4, 0, 0, 1, 0, 3, 0, 1, 2, 3, 2, 0, 1, 3, 2, 3, 2, 0, 2, 0, 3, 0, 3, 1, 0, 1, 3, 4, 0, 0, 4, 2, 4, 3, 3, 4, 3, 0, 4, 2, 1, 2, 1, 0, 4, 1, 4, 1, 2, 0, 1, 1, 0, 4, 3, 1, 2, 0, 3, 3, 1, 3, 4, 4, 1, 1, 0, 4, 4, 4, 1, 3, 1, 1, 1, 0, 1, 4, 1, 2, 2, 4, 4, 3, 1, 3, 0, 0, 1, 2, 4, 0, 4, 4, 1, 4, 3, 3, 2, 2, 3, 3, 2, 3, 0, 2, 2, 4, 3, 1, 0, 4, 4, 1, 3, 3, 3, 1, 1, 4, 1, 4, 3, 2, 3, 0, 0, 1, 3, 3, 2, 4, 2, 3, 4, 2, 1, 0, 3, 0, 2, 0, 0, 3, 0, 4, 3, 4, 1, 2, 4, 1, 0, 0, 3, 1, 0, 2, 2, 2, 1, 3, 4, 2, 3, 2, 2, 0, 4, 1, 2, 4, 1, 0, 0, 4, 2, 2, 3, 0, 3, 2, 2, 0, 0, 1, 2, 2, 4, 0, 2, 0, 2, 2, 1, 2, 2, 1, 4, 4, 3, 4, 2, 2, 0, 0, 2, 1, 0, 3, 1, 0, 3, 2, 3, 3, 4, 3, 0]
pubkeycol1358 = [1, 3, 2, 4, 1, 4, 2, 1, 3, 0, 4, 1, 2, 3, 2, 4, 4, 3, 1, 1, 2, 1, 1, 0, 4, 3, 1, 4, 2, 0, 1, 0, 4, 1, 2, 4, 4, 4, 3, 4, 0, 4, 3, 0, 0, 2, 3, 4, 4, 4, 4, 3, 0, 3, 2, 3, 1, 0, 0, 3, 0, 0, 2, 0, 1, 1, 0, 2, 4, 4, 1, 0, 0, 0, 4, 1, 2, 1, 3, 1, 3, 4, 0, 4, 2, 0, 1, 0, 2, 1, 4, 3, 1, 0, 0, 0, 4, 4, 1, 3, 0, 4, 3, 0, 2, 0, 2, 0, 4, 0, 4, 3, 2, 3, 0, 1, 0, 0, 4, 2, 1, 4, 1, 3, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 4, 1, 2, 1, 4, 3, 1, 1, 0, 0, 1, 0, 2, 1, 3, 1, 4, 1, 3, 0, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 0, 4, 3, 1, 0, 3, 4, 4, 1, 3, 2, 2, 3, 4, 2, 3, 0, 0, 1, 4, 4, 1, 3, 1, 4, 2, 3, 4, 3, 0, 2, 2, 0, 1, 3, 1, 4, 2, 2, 0, 2, 0, 3, 2, 3, 1, 1, 1, 3, 1, 0, 4, 3, 0, 1, 1, 4, 0, 0, 4, 3, 4, 3, 1, 2, 0, 2, 4, 4, 4, 4, 4, 0, 3, 4, 2, 2, 2, 1, 3, 4, 4, 0, 2, 4, 4, 3, 0, 4, 4, 0, 4, 3, 2, 3, 1, 3, 4, 2, 3, 3, 4, 0, 2, 1, 0, 0, 3, 2, 4, 4, 4, 3, 3, 1, 1, 1, 2, 4, 4, 0, 0, 3, 2, 3, 1, 2, 4, 3, 4, 4, 4, 4, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 3, 1, 3, 2, 4, 0, 0, 0, 1, 4, 4, 1, 0, 3, 2, 1, 3, 2, 2, 3, 2, 0, 3, 0, 2, 0, 2, 0, 0, 3, 2, 2, 4, 0, 1, 1, 2, 4, 0, 0, 0, 1, 3, 2, 1, 2, 1, 3, 3, 2, 4, 2, 2, 3, 3, 0, 2, 3, 3, 1, 3, 2, 4, 3, 1, 4, 1, 4, 0, 2, 1, 4, 4, 2, 4, 0, 2, 1, 0, 1, 2, 1, 3, 0, 3, 4, 1, 0, 3, 3]
pubkeycol1359 = [1, 1, 1, 3, 2, 4, 0, 2, 2, 2, 2, 2, 1, 3, 0, 0, 4, 1, 4, 4, 2, 0, 4, 3, 0, 1, 1, 3, 2, 0, 0, 3, 3, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 3, 3, 2, 3, 4, 2, 0, 3, 2, 3, 3, 2, 1, 1, 3, 4, 1, 1, 2, 2, 4, 3, 2, 4, 3, 3, 2, 2, 0, 2, 0, 2, 3, 0, 4, 3, 0, 3, 0, 1, 0, 2, 4, 4, 2, 0, 0, 3, 2, 4, 1, 3, 3, 4, 0, 0, 4, 0, 0, 1, 0, 2, 3, 0, 2, 1, 4, 2, 4, 3, 1, 3, 0, 4, 1, 3, 4, 2, 3, 0, 0, 1, 1, 3, 1, 3, 2, 0, 1, 2, 4, 2, 0, 3, 1, 3, 0, 2, 1, 1, 2, 3, 1, 0, 3, 2, 1, 1, 1, 0, 1, 1, 1, 0, 4, 3, 0, 1, 3, 2, 3, 4, 0, 3, 3, 3, 0, 1, 3, 4, 3, 1, 4, 2, 3, 4, 2, 0, 1, 1, 1, 2, 2, 4, 3, 3, 4, 3, 3, 3, 1, 0, 0, 3, 4, 4, 4, 3, 0, 3, 4, 2, 1, 4, 0, 2, 4, 1, 1, 2, 3, 3, 2, 4, 3, 1, 0, 3, 3, 4, 3, 0, 2, 1, 3, 3, 3, 3, 4, 0, 3, 2, 3, 3, 0, 1, 1, 4, 2, 0, 1, 3, 4, 1, 4, 3, 3, 2, 4, 1, 2, 4, 1, 3, 1, 2, 1, 0, 4, 3, 4, 4, 0, 1, 2, 1, 3, 4, 2, 0, 4, 4, 4, 0, 2, 1, 2, 1, 1, 2, 4, 4, 3, 1, 1, 4, 1, 0, 0, 1, 1, 2, 3, 0, 4, 2, 0, 1, 1, 2, 0, 3, 4, 3, 1, 1, 3, 3, 0, 0, 4, 3, 0, 0, 0, 2, 2, 3, 3, 1, 1, 0, 4, 4, 2, 1, 4, 1, 4, 1, 0, 3, 3, 0, 0, 0, 1, 0, 0, 0, 2, 3, 4, 2, 4, 4, 0, 3, 3, 3, 1, 4, 2, 0, 1, 3, 0, 3, 3, 3, 2, 2, 4, 1, 4, 3, 0, 0, 3, 2, 2, 0, 3, 0, 1, 2, 0, 3, 2, 1, 3, 1, 1, 2, 2, 1, 4, 4, 0, 0, 0, 2, 4, 2, 3]
pubkeycol1360 = [0, 0, 3, 2, 4, 0, 3, 2, 3, 1, 0, 0, 4, 0, 3, 0, 1, 4, 4, 4, 0, 1, 4, 0, 2, 0, 1, 1, 0, 3, 1, 4, 3, 2, 0, 2, 3, 0, 4, 4, 4, 1, 4, 3, 1, 1, 4, 4, 4, 1, 2, 1, 1, 2, 0, 3, 3, 0, 1, 2, 1, 1, 1, 1, 4, 4, 2, 4, 0, 0, 3, 1, 2, 3, 2, 0, 3, 4, 1, 0, 2, 1, 2, 0, 0, 3, 2, 2, 3, 2, 4, 2, 3, 4, 2, 3, 0, 0, 2, 3, 1, 0, 4, 0, 0, 4, 2, 2, 0, 2, 1, 0, 4, 4, 0, 2, 0, 0, 4, 3, 4, 1, 3, 1, 0, 1, 3, 0, 3, 0, 0, 3, 0, 0, 0, 1, 1, 4, 1, 1, 1, 2, 1, 4, 2, 3, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 3, 0, 2, 4, 0, 2, 0, 3, 2, 2, 2, 4, 1, 1, 1, 3, 3, 4, 1, 3, 3, 2, 3, 3, 2, 3, 0, 2, 2, 4, 0, 1, 3, 1, 2, 2, 3, 1, 1, 3, 1, 4, 4, 4, 4, 2, 0, 0, 0, 0, 2, 1, 1, 3, 3, 4, 4, 2, 3, 4, 4, 0, 3, 4, 4, 2, 4, 3, 2, 1, 4, 4, 3, 0, 2, 0, 3, 4, 3, 3, 3, 4, 3, 0, 1, 3, 0, 1, 2, 2, 2, 3, 2, 0, 1, 3, 3, 1, 4, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 3, 0, 1, 3, 0, 0, 4, 0, 1, 3, 3, 1, 4, 3, 2, 1, 1, 2, 1, 3, 0, 1, 3, 1, 3, 2, 2, 3, 3, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 3, 1, 2, 2, 2, 0, 4, 4, 0, 4, 1, 1, 4, 3, 4, 0, 1, 3, 1, 3, 1, 4, 1, 3, 0, 4, 1, 2, 1, 3, 3, 2, 3, 3, 4, 2, 3, 1, 3, 4, 0, 2, 0, 0, 4, 1, 3, 4, 0, 4, 3, 1, 1, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 1, 3, 2, 0, 2, 4, 0, 0, 2, 1, 3, 0, 2, 0, 0, 2, 1, 2, 3, 0, 0, 4, 3, 4, 2, 4, 4, 2, 4]
pubkeycol1361 = [4, 3, 1, 1, 2, 2, 3, 4, 0, 4, 1, 0, 1, 0, 2, 3, 4, 0, 2, 0, 0, 2, 2, 3, 2, 0, 0, 1, 2, 1, 1, 3, 0, 3, 1, 2, 3, 1, 4, 2, 1, 1, 4, 4, 4, 2, 4, 2, 3, 0, 1, 4, 0, 2, 4, 2, 1, 1, 0, 4, 0, 1, 0, 0, 4, 3, 4, 0, 1, 4, 3, 1, 4, 0, 1, 4, 2, 1, 3, 4, 2, 0, 1, 4, 1, 1, 4, 1, 0, 4, 2, 1, 2, 2, 3, 3, 2, 1, 2, 3, 2, 1, 1, 2, 3, 4, 1, 0, 4, 3, 0, 2, 1, 0, 0, 1, 2, 4, 4, 4, 3, 0, 4, 4, 1, 4, 1, 0, 0, 2, 2, 0, 1, 3, 1, 1, 4, 3, 4, 4, 1, 2, 2, 0, 4, 1, 4, 3, 3, 1, 2, 4, 1, 2, 3, 2, 0, 4, 3, 1, 4, 2, 0, 0, 4, 3, 4, 2, 0, 2, 3, 4, 0, 1, 0, 2, 0, 4, 3, 0, 0, 2, 4, 0, 3, 3, 3, 3, 0, 3, 2, 2, 1, 1, 4, 4, 4, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 4, 4, 3, 2, 1, 4, 1, 1, 1, 3, 1, 4, 1, 2, 1, 3, 1, 4, 0, 4, 1, 2, 4, 4, 0, 1, 0, 1, 4, 4, 2, 0, 3, 1, 0, 1, 0, 2, 3, 2, 1, 2, 4, 1, 0, 2, 1, 1, 3, 1, 1, 1, 0, 3, 1, 3, 2, 2, 1, 0, 0, 1, 3, 3, 1, 2, 2, 2, 4, 3, 1, 0, 4, 0, 0, 3, 1, 3, 4, 4, 2, 0, 4, 3, 1, 4, 2, 3, 4, 1, 1, 3, 1, 4, 1, 2, 0, 2, 3, 0, 0, 1, 2, 3, 1, 2, 0, 0, 0, 0, 0, 4, 0, 1, 1, 2, 2, 3, 4, 2, 3, 4, 2, 4, 2, 2, 1, 1, 1, 0, 2, 2, 2, 4, 4, 0, 1, 4, 2, 0, 0, 1, 0, 2, 2, 3, 3, 3, 4, 2, 1, 3, 0, 3, 0, 2, 4, 0, 4, 2, 0, 1, 1, 1, 4, 3, 2, 3, 3, 3, 3, 1, 3, 0, 4, 3, 2, 4, 0, 2, 4, 2, 3, 2, 2, 0, 0, 2, 3, 1, 3, 0, 1]
pubkeycol1362 = [3, 4, 0, 4, 0, 1, 4, 2, 4, 1, 3, 2, 2, 4, 3, 0, 1, 1, 3, 2, 2, 4, 3, 0, 3, 2, 0, 2, 1, 3, 2, 0, 1, 4, 4, 3, 3, 1, 0, 3, 0, 1, 3, 2, 4, 3, 0, 3, 2, 2, 3, 2, 0, 3, 4, 1, 0, 1, 4, 2, 3, 3, 2, 1, 4, 0, 2, 2, 4, 0, 1, 3, 3, 4, 2, 1, 1, 2, 0, 0, 4, 3, 3, 3, 3, 2, 3, 2, 0, 0, 3, 3, 2, 3, 1, 1, 0, 0, 1, 3, 2, 1, 4, 3, 3, 4, 4, 4, 0, 2, 4, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 3, 4, 4, 2, 4, 1, 3, 4, 1, 4, 3, 2, 1, 1, 1, 2, 4, 3, 0, 2, 0, 1, 4, 3, 3, 0, 3, 1, 3, 0, 2, 3, 2, 2, 2, 4, 0, 0, 3, 1, 2, 0, 2, 2, 3, 4, 2, 3, 4, 1, 3, 4, 4, 0, 2, 1, 2, 4, 2, 3, 4, 3, 3, 1, 3, 4, 1, 3, 1, 1, 0, 3, 0, 0, 1, 1, 1, 3, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 3, 2, 0, 3, 1, 3, 4, 2, 4, 1, 4, 2, 2, 4, 0, 4, 4, 0, 3, 4, 3, 3, 4, 2, 0, 4, 1, 0, 4, 2, 1, 1, 0, 4, 3, 0, 4, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 2, 1, 2, 3, 3, 3, 0, 0, 0, 2, 2, 2, 3, 0, 1, 2, 0, 0, 3, 2, 2, 4, 1, 3, 1, 0, 3, 0, 4, 3, 2, 3, 2, 0, 4, 3, 4, 4, 2, 2, 4, 2, 0, 3, 1, 4, 0, 2, 4, 2, 1, 0, 3, 1, 1, 0, 2, 3, 0, 4, 0, 4, 3, 3, 1, 0, 4, 2, 2, 1, 1, 0, 0, 3, 2, 0, 4, 2, 4, 2, 3, 4, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 4, 3, 2, 3, 1, 2, 2, 3, 1, 0, 4, 1, 0, 1, 1, 2, 4, 3, 4, 1, 0, 4, 4, 3, 0, 3, 3, 1, 4, 1, 3, 2, 1, 0, 4, 2, 4, 4, 4, 1, 1, 3, 3, 3, 0, 0, 2, 3]
pubkeycol1363 = [2, 2, 0, 3, 3, 3, 4, 3, 0, 3, 2, 2, 0, 3, 4, 1, 1, 2, 4, 0, 0, 4, 0, 1, 1, 0, 3, 3, 2, 4, 0, 2, 4, 0, 4, 0, 1, 2, 1, 4, 2, 1, 0, 4, 1, 3, 2, 3, 3, 3, 3, 0, 0, 2, 0, 2, 1, 3, 0, 0, 1, 2, 2, 3, 3, 2, 4, 4, 3, 2, 4, 2, 0, 1, 4, 2, 4, 4, 4, 1, 2, 2, 2, 0, 1, 0, 4, 3, 0, 1, 1, 0, 1, 4, 0, 4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 2, 3, 2, 4, 2, 1, 2, 1, 4, 0, 4, 4, 3, 0, 4, 4, 3, 2, 0, 3, 2, 4, 3, 4, 1, 4, 4, 1, 1, 2, 2, 1, 2, 1, 4, 4, 4, 2, 4, 3, 3, 4, 1, 1, 0, 0, 1, 4, 4, 0, 1, 2, 4, 2, 3, 2, 4, 0, 2, 3, 2, 3, 0, 4, 1, 0, 2, 2, 1, 2, 2, 3, 1, 1, 1, 2, 0, 4, 4, 2, 1, 4, 0, 1, 4, 1, 2, 2, 0, 1, 3, 3, 4, 0, 1, 0, 3, 2, 3, 2, 2, 3, 2, 4, 1, 1, 1, 2, 3, 0, 3, 1, 1, 3, 2, 2, 1, 0, 0, 0, 3, 4, 4, 1, 4, 2, 1, 3, 1, 0, 2, 2, 3, 1, 0, 4, 3, 4, 0, 1, 4, 3, 0, 4, 4, 4, 2, 3, 2, 2, 0, 0, 3, 3, 1, 4, 1, 1, 3, 4, 4, 0, 0, 0, 4, 0, 3, 4, 3, 1, 3, 3, 0, 2, 0, 3, 3, 0, 1, 2, 4, 2, 1, 4, 2, 1, 2, 2, 1, 2, 3, 0, 3, 4, 3, 0, 4, 0, 3, 2, 4, 4, 3, 4, 1, 2, 4, 1, 1, 1, 4, 3, 4, 0, 3, 2, 1, 3, 3, 1, 2, 0, 2, 4, 3, 4, 0, 4, 2, 0, 2, 3, 4, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 3, 4, 1, 2, 0, 1, 4, 4, 2, 4, 1, 3, 0, 0, 2, 4, 0, 3, 0, 0, 0, 0, 4, 1, 3, 2, 4, 2, 1, 1, 3, 2, 2, 3, 0, 2, 4, 2, 0, 0, 0, 0, 2, 4, 3, 2, 2, 4, 2, 3, 2, 4]
pubkeycol1364 = [3, 4, 0, 0, 3, 4, 2, 0, 2, 1, 0, 3, 0, 3, 3, 2, 3, 3, 2, 2, 4, 0, 3, 0, 4, 2, 2, 1, 1, 1, 3, 0, 4, 1, 3, 1, 1, 1, 0, 1, 3, 0, 0, 4, 3, 1, 1, 2, 4, 4, 0, 1, 2, 3, 4, 2, 2, 4, 0, 3, 0, 1, 4, 0, 4, 4, 2, 3, 1, 0, 0, 1, 3, 2, 3, 3, 4, 1, 0, 1, 0, 0, 4, 3, 1, 2, 0, 3, 3, 3, 0, 0, 3, 4, 0, 1, 0, 3, 0, 1, 3, 3, 3, 3, 1, 2, 3, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 4, 1, 4, 4, 3, 1, 1, 2, 1, 1, 3, 2, 2, 3, 1, 4, 3, 1, 0, 4, 4, 1, 2, 4, 4, 2, 0, 3, 0, 0, 2, 3, 1, 0, 3, 3, 1, 0, 2, 0, 1, 2, 3, 1, 1, 1, 4, 4, 1, 2, 3, 3, 4, 2, 4, 1, 2, 1, 0, 4, 1, 3, 0, 2, 1, 1, 0, 4, 1, 0, 3, 0, 1, 2, 4, 0, 1, 0, 3, 4, 3, 1, 4, 0, 3, 3, 4, 2, 1, 0, 4, 1, 1, 4, 1, 4, 2, 0, 3, 1, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 1, 1, 0, 1, 3, 4, 1, 0, 4, 0, 3, 0, 2, 0, 1, 4, 1, 2, 1, 2, 1, 1, 2, 3, 3, 4, 3, 0, 3, 2, 0, 2, 4, 3, 1, 2, 0, 0, 2, 1, 2, 1, 3, 1, 4, 2, 3, 3, 2, 2, 1, 4, 4, 4, 1, 1, 3, 2, 2, 4, 1, 0, 0, 0, 4, 1, 0, 3, 0, 2, 4, 0, 3, 4, 3, 3, 0, 0, 0, 2, 2, 3, 1, 0, 3, 0, 3, 0, 1, 1, 2, 0, 4, 2, 4, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 3, 1, 1, 3, 2, 2, 3, 4, 3, 4, 3, 4, 1, 3, 1, 2, 3, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 4, 0, 0, 3, 2, 2, 4, 0, 3, 1, 3, 2, 2, 3, 3, 1, 0, 1, 3, 0, 3, 2, 1, 2, 2, 2, 1, 1, 4, 2, 4, 4, 2, 1]
pubkeycol1365 = [2, 1, 0, 1, 0, 2, 2, 2, 4, 1, 0, 0, 3, 1, 3, 2, 3, 1, 0, 2, 3, 2, 4, 3, 2, 1, 1, 4, 3, 0, 1, 4, 3, 3, 2, 4, 0, 1, 2, 2, 1, 3, 0, 0, 1, 2, 2, 1, 4, 2, 4, 4, 3, 2, 3, 0, 2, 3, 0, 1, 1, 1, 0, 0, 3, 4, 0, 0, 2, 4, 1, 4, 3, 2, 0, 2, 4, 1, 3, 0, 0, 4, 2, 0, 1, 3, 2, 1, 3, 4, 3, 4, 3, 0, 0, 0, 1, 3, 1, 2, 3, 1, 2, 3, 3, 3, 0, 3, 2, 2, 4, 2, 0, 2, 0, 3, 4, 0, 4, 4, 1, 1, 1, 3, 3, 2, 1, 0, 2, 0, 0, 3, 4, 4, 4, 1, 2, 0, 3, 0, 3, 2, 3, 1, 4, 4, 3, 4, 1, 3, 2, 2, 4, 4, 1, 4, 2, 3, 2, 1, 3, 1, 1, 1, 3, 4, 3, 4, 0, 0, 2, 3, 4, 2, 1, 0, 4, 2, 2, 1, 4, 0, 4, 4, 0, 1, 3, 2, 2, 3, 0, 4, 2, 0, 2, 0, 1, 2, 1, 2, 1, 3, 2, 1, 4, 2, 1, 4, 0, 3, 2, 2, 3, 2, 4, 4, 0, 0, 4, 0, 1, 0, 2, 0, 3, 2, 1, 1, 1, 2, 1, 0, 1, 3, 1, 0, 3, 3, 0, 1, 0, 4, 3, 3, 3, 2, 0, 1, 3, 3, 3, 1, 4, 2, 1, 2, 4, 1, 3, 1, 1, 1, 2, 4, 3, 0, 1, 1, 0, 2, 1, 0, 2, 4, 3, 2, 4, 1, 4, 2, 1, 1, 1, 4, 4, 1, 3, 1, 3, 1, 1, 1, 2, 4, 0, 1, 4, 1, 3, 0, 3, 3, 0, 2, 3, 2, 0, 2, 4, 3, 0, 2, 0, 4, 0, 4, 3, 2, 0, 4, 4, 2, 0, 3, 4, 2, 4, 1, 1, 1, 0, 2, 4, 1, 4, 1, 0, 0, 2, 2, 2, 1, 4, 3, 1, 1, 3, 0, 2, 1, 3, 0, 2, 4, 2, 3, 1, 0, 1, 1, 0, 2, 1, 0, 1, 4, 1, 4, 1, 2, 4, 0, 0, 0, 0, 3, 1, 0, 2, 4, 3, 2, 2, 4, 2, 2, 3, 4, 2, 3, 3, 0, 4, 0, 2, 4, 0, 3, 0, 0]
pubkeycol1366 = [4, 2, 1, 0, 4, 2, 0, 3, 3, 2, 1, 4, 4, 2, 0, 4, 3, 1, 0, 4, 1, 2, 2, 1, 3, 0, 2, 4, 2, 1, 3, 4, 0, 2, 3, 1, 2, 3, 2, 2, 4, 0, 3, 4, 3, 4, 3, 0, 2, 2, 1, 3, 0, 1, 0, 4, 0, 4, 3, 4, 0, 4, 0, 4, 1, 4, 1, 0, 4, 2, 0, 2, 0, 0, 4, 0, 4, 1, 2, 2, 4, 0, 1, 3, 3, 1, 2, 4, 2, 0, 0, 2, 4, 1, 1, 1, 3, 2, 4, 4, 2, 1, 2, 0, 4, 1, 3, 2, 3, 3, 3, 2, 3, 4, 3, 3, 0, 1, 1, 2, 2, 3, 3, 0, 4, 1, 3, 1, 1, 2, 4, 3, 1, 3, 4, 2, 3, 0, 3, 1, 2, 3, 0, 4, 1, 1, 3, 0, 2, 3, 0, 3, 1, 2, 4, 1, 3, 3, 0, 2, 4, 2, 4, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 4, 2, 2, 3, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 3, 2, 1, 3, 1, 3, 4, 2, 2, 3, 0, 3, 3, 0, 1, 1, 4, 4, 2, 1, 0, 2, 2, 0, 1, 2, 0, 4, 0, 3, 1, 3, 3, 2, 3, 4, 2, 4, 0, 4, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 3, 3, 0, 2, 3, 4, 4, 0, 4, 0, 2, 1, 1, 4, 0, 4, 4, 1, 2, 3, 0, 2, 0, 4, 3, 2, 0, 4, 1, 0, 0, 2, 2, 3, 2, 0, 0, 0, 0, 3, 2, 3, 3, 0, 2, 3, 2, 0, 3, 1, 0, 4, 3, 3, 1, 2, 3, 2, 2, 1, 1, 1, 0, 1, 0, 4, 1, 4, 4, 0, 4, 3, 1, 3, 2, 3, 0, 4, 4, 3, 0, 1, 2, 0, 1, 0, 4, 0, 4, 4, 4, 1, 0, 2, 3, 4, 4, 3, 3, 4, 0, 0, 3, 4, 3, 4, 4, 1, 0, 2, 0, 2, 2, 2, 2, 4, 1, 1, 2, 3, 0, 4, 3, 0, 2, 4, 3, 3, 0, 3, 1, 3, 2, 1, 4, 1, 2, 3, 0, 3, 3, 0, 3, 2, 4, 3, 3, 3, 4, 1, 3, 4, 3, 3, 1, 1]
pubkeycol1367 = [3, 0, 3, 0, 3, 4, 3, 0, 1, 3, 0, 0, 2, 4, 2, 0, 2, 3, 3, 2, 2, 0, 0, 4, 4, 3, 2, 4, 3, 0, 1, 2, 0, 1, 0, 4, 3, 0, 2, 0, 0, 4, 3, 1, 1, 1, 0, 4, 4, 3, 1, 4, 2, 4, 4, 1, 3, 0, 3, 3, 0, 1, 4, 3, 2, 2, 3, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 4, 2, 3, 0, 3, 4, 3, 4, 2, 3, 4, 0, 4, 0, 2, 0, 1, 2, 1, 3, 1, 2, 1, 4, 4, 1, 1, 2, 2, 1, 4, 0, 1, 2, 0, 1, 0, 1, 3, 1, 4, 3, 3, 0, 0, 0, 2, 0, 2, 1, 0, 3, 2, 0, 2, 1, 0, 2, 4, 0, 0, 4, 3, 4, 1, 4, 4, 2, 4, 3, 3, 3, 3, 0, 3, 2, 3, 0, 4, 3, 1, 1, 3, 4, 2, 0, 4, 4, 2, 2, 1, 2, 4, 2, 2, 4, 3, 3, 4, 0, 0, 0, 1, 3, 0, 2, 0, 1, 1, 4, 2, 2, 1, 3, 3, 3, 0, 1, 4, 2, 0, 2, 0, 4, 3, 3, 0, 1, 3, 1, 4, 3, 4, 0, 1, 1, 2, 4, 2, 1, 1, 0, 0, 3, 4, 4, 4, 2, 2, 1, 2, 4, 0, 2, 2, 3, 3, 3, 2, 0, 3, 3, 0, 3, 4, 3, 2, 0, 2, 4, 1, 3, 2, 1, 4, 4, 0, 3, 2, 0, 1, 4, 2, 4, 1, 3, 0, 1, 1, 4, 3, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 3, 0, 2, 1, 4, 2, 1, 3, 0, 0, 4, 2, 3, 0, 1, 3, 1, 0, 1, 2, 0, 1, 0, 0, 0, 4, 1, 4, 3, 3, 2, 4, 1, 0, 2, 2, 2, 0, 4, 4, 4, 0, 0, 4, 2, 1, 3, 2, 4, 3, 3, 2, 3, 0, 1, 2, 0, 1, 3, 1, 4, 3, 3, 2, 0, 3, 3, 1, 1, 4, 2, 0, 2, 4, 1, 2, 2, 4, 3, 2, 1, 3, 3, 2, 0, 2, 1, 2, 1, 1, 4, 3, 1, 3, 1, 1, 1, 3, 1, 2, 1, 4, 2, 4, 1, 0, 4, 2, 0, 0, 0, 1, 4, 2, 4, 1, 2, 4]
pubkeycol1368 = [2, 3, 2, 0, 4, 0, 1, 0, 4, 4, 2, 4, 3, 3, 4, 1, 1, 2, 1, 2, 3, 0, 1, 2, 0, 1, 1, 3, 2, 0, 1, 4, 1, 1, 0, 0, 3, 3, 1, 3, 0, 2, 0, 3, 1, 0, 3, 3, 0, 1, 3, 1, 1, 1, 4, 4, 0, 0, 3, 3, 4, 4, 3, 2, 0, 3, 3, 1, 2, 4, 1, 0, 3, 0, 0, 0, 4, 4, 4, 4, 3, 4, 3, 3, 3, 4, 1, 3, 1, 0, 0, 3, 1, 1, 1, 2, 0, 3, 1, 4, 0, 4, 0, 1, 4, 2, 0, 3, 1, 4, 1, 3, 1, 3, 2, 4, 1, 2, 2, 0, 4, 1, 0, 1, 2, 3, 2, 0, 3, 3, 4, 0, 1, 1, 0, 1, 0, 4, 2, 4, 0, 0, 1, 4, 2, 4, 4, 0, 4, 4, 3, 1, 1, 3, 4, 0, 0, 0, 1, 0, 2, 1, 2, 2, 4, 4, 4, 2, 1, 2, 0, 2, 2, 3, 2, 0, 3, 0, 4, 1, 4, 2, 2, 2, 1, 4, 0, 2, 4, 4, 3, 1, 2, 1, 3, 1, 0, 1, 0, 3, 3, 2, 0, 1, 4, 4, 3, 0, 2, 2, 0, 1, 0, 4, 3, 0, 4, 2, 0, 0, 1, 0, 4, 2, 0, 3, 1, 2, 3, 1, 4, 2, 2, 3, 0, 4, 3, 4, 3, 1, 3, 1, 1, 4, 1, 1, 2, 2, 1, 0, 1, 1, 4, 4, 1, 4, 1, 4, 1, 4, 4, 0, 4, 0, 2, 0, 1, 0, 4, 1, 0, 1, 2, 1, 2, 1, 1, 4, 4, 2, 1, 4, 3, 3, 1, 0, 1, 0, 1, 0, 4, 3, 0, 0, 0, 1, 4, 0, 1, 3, 1, 0, 4, 2, 1, 4, 3, 3, 4, 0, 2, 1, 1, 3, 1, 2, 4, 0, 1, 3, 1, 3, 1, 4, 0, 2, 2, 4, 0, 0, 0, 2, 3, 0, 2, 4, 2, 2, 3, 1, 3, 1, 1, 3, 0, 2, 3, 3, 3, 0, 2, 1, 4, 2, 1, 2, 3, 1, 4, 1, 1, 4, 3, 4, 2, 0, 2, 2, 2, 1, 3, 2, 1, 0, 3, 0, 0, 4, 3, 3, 1, 3, 2, 3, 4, 4, 3, 3, 4, 3, 1, 3, 3, 4, 3, 1, 3, 3, 3, 1]
pubkeycol1369 = [2, 2, 2, 0, 1, 0, 3, 2, 4, 0, 2, 0, 1, 0, 0, 1, 4, 2, 0, 0, 4, 3, 2, 1, 4, 3, 4, 3, 0, 0, 1, 1, 1, 3, 0, 3, 4, 3, 1, 3, 3, 0, 2, 0, 2, 4, 3, 2, 3, 4, 0, 1, 2, 1, 0, 4, 3, 3, 0, 2, 3, 2, 2, 0, 0, 4, 2, 0, 2, 3, 2, 4, 3, 4, 3, 0, 0, 3, 3, 4, 0, 2, 3, 1, 2, 0, 4, 1, 2, 3, 2, 2, 0, 2, 4, 3, 4, 0, 4, 2, 2, 4, 2, 1, 1, 1, 4, 1, 2, 2, 4, 4, 4, 0, 4, 1, 4, 4, 4, 0, 1, 2, 3, 3, 1, 0, 3, 4, 2, 0, 0, 1, 4, 1, 1, 0, 2, 2, 0, 1, 4, 3, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 4, 1, 0, 1, 4, 3, 2, 2, 1, 1, 4, 3, 2, 3, 0, 3, 1, 3, 4, 3, 2, 3, 1, 4, 4, 1, 3, 0, 4, 0, 0, 1, 4, 1, 3, 3, 4, 1, 1, 3, 4, 2, 0, 0, 0, 3, 0, 0, 3, 3, 3, 1, 3, 4, 0, 3, 4, 4, 1, 1, 0, 4, 3, 2, 3, 3, 3, 0, 0, 2, 1, 0, 1, 2, 3, 0, 3, 2, 2, 0, 4, 3, 2, 1, 0, 3, 2, 1, 0, 3, 4, 4, 3, 4, 3, 4, 3, 1, 1, 4, 1, 4, 0, 3, 0, 0, 4, 3, 2, 4, 2, 3, 3, 0, 4, 1, 0, 4, 4, 1, 1, 0, 4, 4, 1, 2, 4, 2, 2, 4, 3, 0, 3, 1, 4, 2, 0, 3, 2, 3, 1, 2, 4, 1, 3, 1, 3, 3, 2, 2, 2, 2, 0, 3, 0, 2, 2, 2, 4, 1, 1, 2, 2, 0, 1, 1, 1, 4, 2, 1, 3, 0, 1, 1, 2, 1, 4, 1, 1, 4, 2, 3, 4, 4, 3, 4, 3, 3, 4, 1, 1, 4, 0, 3, 2, 2, 2, 1, 4, 2, 0, 0, 0, 2, 4, 0, 2, 4, 3, 0, 3, 3, 3, 2, 1, 1, 1, 3, 4, 3, 2, 4, 1, 0, 3, 2, 2, 1, 4, 2, 0, 3, 3, 0, 4, 1, 4, 4, 3, 2, 3, 0, 3, 2, 3]
pubkeycol1370 = [0, 3, 4, 3, 2, 0, 0, 4, 2, 1, 4, 1, 4, 3, 1, 4, 4, 2, 1, 2, 1, 0, 0, 0, 4, 3, 4, 1, 3, 2, 3, 4, 0, 4, 0, 3, 2, 1, 3, 4, 2, 3, 2, 2, 1, 4, 2, 2, 1, 0, 0, 2, 4, 4, 3, 2, 0, 4, 2, 1, 0, 0, 4, 1, 0, 3, 2, 4, 0, 0, 2, 0, 0, 1, 0, 0, 3, 0, 3, 0, 1, 3, 3, 4, 3, 4, 4, 1, 1, 2, 1, 1, 4, 3, 0, 3, 3, 2, 1, 2, 3, 3, 1, 4, 3, 3, 4, 4, 2, 0, 0, 2, 3, 3, 1, 0, 2, 0, 3, 3, 1, 4, 3, 3, 1, 4, 3, 4, 3, 0, 1, 1, 2, 0, 4, 1, 0, 4, 1, 2, 4, 2, 3, 2, 1, 2, 1, 1, 2, 0, 4, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 3, 0, 4, 2, 1, 0, 0, 4, 4, 3, 0, 4, 0, 0, 2, 0, 2, 2, 0, 3, 4, 3, 1, 3, 3, 0, 1, 4, 1, 3, 1, 2, 1, 4, 4, 4, 2, 1, 0, 4, 1, 2, 1, 2, 1, 4, 3, 1, 3, 1, 4, 4, 1, 2, 2, 0, 3, 2, 2, 2, 2, 2, 1, 4, 3, 4, 2, 0, 3, 0, 4, 0, 3, 4, 4, 2, 0, 4, 4, 3, 3, 1, 1, 2, 1, 2, 2, 3, 2, 3, 1, 0, 3, 4, 2, 4, 0, 2, 4, 0, 1, 3, 1, 3, 2, 4, 4, 4, 0, 2, 4, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 4, 3, 1, 0, 2, 4, 0, 1, 4, 1, 2, 3, 1, 2, 0, 2, 4, 2, 0, 1, 0, 1, 4, 0, 1, 3, 2, 1, 0, 2, 4, 4, 4, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 4, 3, 3, 4, 3, 3, 4, 4, 1, 3, 0, 4, 0, 4, 2, 2, 3, 4, 1, 1, 2, 0, 3, 3, 0, 0, 4, 4, 1, 1, 3, 3, 2, 1, 0, 1, 4, 1, 3, 4, 1, 2, 2, 0, 1, 1, 2, 4, 2, 1, 3, 0, 1, 0, 3, 0, 0, 2, 0, 1, 3, 2, 2, 2, 0, 3, 3, 0, 0, 0, 1, 3, 2, 1]
pubkeycol1371 = [2, 0, 1, 2, 2, 0, 0, 4, 2, 2, 1, 4, 1, 1, 3, 0, 2, 2, 3, 3, 0, 4, 1, 3, 4, 4, 2, 1, 0, 3, 2, 2, 0, 3, 3, 4, 2, 0, 2, 3, 1, 1, 1, 2, 0, 2, 3, 4, 4, 2, 1, 2, 1, 4, 1, 3, 2, 3, 2, 2, 3, 4, 4, 1, 1, 1, 3, 2, 1, 2, 2, 3, 0, 2, 1, 1, 1, 4, 4, 2, 0, 1, 3, 4, 2, 1, 0, 2, 1, 2, 3, 1, 3, 0, 4, 4, 2, 3, 3, 4, 2, 3, 4, 2, 1, 2, 2, 1, 3, 4, 0, 2, 1, 0, 2, 4, 1, 3, 1, 1, 1, 3, 4, 3, 3, 3, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 3, 4, 4, 4, 3, 0, 2, 4, 1, 0, 4, 3, 1, 3, 1, 4, 3, 2, 3, 2, 1, 4, 3, 4, 1, 3, 0, 3, 3, 0, 0, 3, 1, 2, 1, 3, 4, 1, 4, 2, 2, 2, 1, 2, 0, 3, 4, 4, 1, 0, 1, 2, 3, 4, 1, 3, 4, 3, 3, 1, 0, 2, 4, 2, 0, 0, 0, 1, 1, 4, 4, 4, 4, 2, 0, 3, 2, 2, 4, 2, 4, 2, 3, 1, 0, 0, 4, 3, 1, 2, 1, 1, 2, 0, 1, 3, 1, 3, 2, 4, 4, 4, 3, 1, 2, 4, 2, 2, 3, 2, 2, 3, 4, 2, 2, 4, 2, 4, 4, 2, 2, 2, 1, 4, 2, 2, 1, 2, 0, 3, 0, 0, 1, 1, 1, 2, 2, 0, 0, 3, 0, 4, 3, 3, 0, 1, 2, 3, 3, 4, 3, 4, 1, 2, 2, 4, 1, 0, 0, 1, 4, 2, 3, 3, 0, 3, 0, 2, 4, 3, 1, 4, 1, 1, 1, 2, 2, 3, 2, 3, 4, 1, 0, 4, 4, 2, 0, 3, 2, 3, 1, 1, 3, 3, 4, 1, 3, 0, 4, 1, 0, 2, 4, 2, 0, 0, 4, 1, 4, 2, 2, 2, 0, 2, 0, 3, 2, 3, 4, 1, 2, 4, 3, 2, 3, 2, 1, 2, 1, 3, 4, 2, 0, 2, 4, 3, 2, 3, 4, 0, 1, 2, 2, 3, 1, 4, 3, 1, 1, 0, 2, 1, 4, 0, 3, 4, 0, 1, 4, 4, 3, 3, 1, 3]
pubkeycol1372 = [1, 2, 1, 0, 1, 3, 3, 0, 0, 4, 2, 2, 1, 1, 4, 3, 4, 0, 1, 0, 1, 1, 4, 0, 3, 4, 0, 4, 3, 0, 0, 4, 1, 4, 0, 4, 4, 0, 2, 2, 4, 0, 3, 2, 1, 0, 2, 3, 4, 3, 1, 4, 0, 4, 0, 3, 3, 1, 0, 2, 0, 2, 2, 1, 4, 2, 0, 2, 3, 4, 3, 0, 3, 3, 2, 0, 2, 2, 4, 3, 3, 0, 1, 1, 2, 1, 3, 3, 2, 4, 1, 2, 3, 3, 1, 2, 3, 4, 2, 0, 3, 1, 3, 3, 0, 1, 0, 2, 3, 2, 3, 1, 1, 0, 3, 0, 4, 2, 2, 2, 4, 1, 3, 4, 3, 1, 0, 1, 0, 1, 1, 4, 3, 0, 4, 0, 0, 4, 4, 3, 4, 3, 1, 1, 3, 1, 2, 4, 2, 1, 2, 1, 0, 1, 2, 3, 2, 3, 4, 4, 2, 1, 2, 2, 4, 1, 1, 0, 1, 3, 0, 0, 0, 0, 1, 2, 1, 2, 3, 4, 3, 1, 3, 4, 0, 3, 4, 1, 0, 0, 1, 2, 4, 4, 1, 2, 3, 0, 4, 2, 4, 1, 1, 0, 0, 1, 1, 0, 2, 4, 0, 1, 4, 4, 4, 4, 3, 0, 4, 4, 2, 1, 1, 3, 1, 1, 0, 4, 4, 1, 1, 4, 1, 2, 3, 4, 4, 0, 0, 1, 1, 4, 4, 1, 3, 4, 4, 4, 3, 1, 4, 3, 0, 2, 3, 1, 2, 4, 1, 1, 4, 3, 2, 2, 0, 4, 1, 4, 1, 3, 2, 4, 0, 4, 3, 1, 3, 4, 2, 2, 3, 3, 3, 0, 0, 4, 1, 1, 4, 0, 1, 2, 2, 0, 2, 3, 0, 2, 1, 0, 0, 0, 2, 3, 4, 4, 1, 4, 3, 0, 4, 1, 2, 2, 0, 3, 4, 0, 4, 1, 2, 3, 2, 0, 1, 4, 3, 0, 0, 4, 0, 2, 3, 4, 4, 2, 1, 3, 0, 4, 3, 0, 4, 1, 2, 0, 3, 2, 2, 4, 4, 0, 1, 3, 2, 2, 1, 2, 0, 1, 1, 2, 4, 0, 3, 3, 4, 1, 1, 0, 2, 1, 0, 2, 4, 3, 4, 0, 1, 3, 4, 1, 4, 0, 0, 3, 4, 2, 4, 2, 3, 1, 1, 2, 0, 1, 4, 1, 0, 0]
pubkeycol1373 = [2, 4, 1, 0, 1, 3, 1, 4, 2, 1, 2, 2, 0, 1, 4, 0, 4, 0, 1, 2, 4, 0, 2, 4, 3, 4, 2, 3, 0, 3, 3, 2, 1, 0, 4, 1, 0, 1, 4, 2, 2, 0, 0, 4, 3, 4, 4, 4, 2, 3, 4, 2, 3, 4, 4, 2, 4, 2, 1, 4, 0, 0, 0, 4, 3, 2, 1, 0, 3, 0, 1, 4, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 4, 4, 2, 2, 3, 3, 2, 0, 0, 3, 0, 4, 4, 0, 4, 4, 2, 4, 4, 4, 2, 0, 3, 3, 3, 2, 0, 0, 0, 1, 4, 1, 4, 3, 1, 1, 0, 3, 1, 0, 0, 4, 0, 3, 1, 0, 0, 2, 3, 2, 4, 0, 1, 3, 2, 2, 1, 3, 0, 0, 3, 3, 0, 1, 1, 2, 0, 4, 2, 4, 4, 3, 1, 3, 2, 4, 2, 0, 3, 2, 1, 3, 2, 4, 3, 1, 1, 4, 0, 4, 3, 2, 0, 2, 1, 3, 4, 2, 3, 3, 4, 3, 3, 0, 1, 3, 1, 3, 4, 4, 2, 3, 3, 2, 1, 2, 2, 4, 2, 0, 2, 1, 4, 2, 0, 0, 1, 4, 3, 2, 2, 0, 3, 2, 1, 2, 2, 2, 0, 1, 4, 1, 2, 3, 1, 2, 2, 0, 3, 3, 4, 4, 1, 1, 0, 4, 2, 3, 1, 2, 0, 0, 2, 3, 1, 0, 4, 1, 3, 4, 3, 3, 1, 4, 0, 2, 1, 2, 2, 4, 3, 0, 0, 0, 1, 4, 2, 1, 0, 4, 1, 0, 2, 4, 1, 4, 1, 1, 4, 3, 1, 2, 4, 0, 1, 0, 0, 0, 3, 4, 4, 2, 2, 4, 3, 4, 0, 1, 3, 2, 4, 4, 0, 3, 2, 4, 3, 2, 1, 0, 3, 3, 2, 2, 4, 0, 2, 1, 4, 4, 2, 3, 3, 3, 4, 1, 2, 2, 2, 1, 2, 0, 4, 3, 4, 1, 1, 3, 3, 0, 1, 2, 2, 2, 4, 2, 0, 1, 0, 0, 1, 1, 0, 3, 3, 0, 0, 1, 2, 4, 1, 1, 2, 4, 0, 2, 2, 0, 3, 2, 0, 3, 1, 3, 4, 4, 1, 3, 2, 3, 4, 3, 0, 3, 4, 2, 3, 4, 2, 3, 2, 2, 1, 1, 3, 4, 4, 1]
pubkeycol1374 = [4, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 4, 1, 0, 0, 3, 1, 3, 4, 2, 4, 2, 3, 0, 0, 3, 2, 0, 4, 2, 0, 3, 0, 2, 1, 3, 3, 3, 3, 2, 1, 1, 2, 3, 4, 2, 2, 3, 4, 3, 3, 2, 3, 2, 4, 3, 1, 1, 1, 1, 1, 4, 0, 4, 3, 3, 2, 1, 3, 3, 0, 4, 1, 3, 0, 1, 0, 1, 0, 3, 0, 3, 1, 2, 1, 2, 0, 1, 3, 2, 3, 2, 4, 3, 3, 3, 2, 0, 4, 1, 2, 2, 3, 0, 4, 1, 1, 1, 2, 4, 1, 2, 0, 3, 4, 0, 0, 2, 0, 3, 0, 3, 3, 0, 2, 4, 4, 4, 1, 4, 4, 2, 2, 0, 0, 2, 0, 3, 0, 1, 2, 3, 3, 0, 1, 4, 3, 3, 4, 1, 4, 1, 1, 4, 4, 4, 2, 2, 2, 4, 0, 0, 3, 0, 4, 3, 2, 3, 3, 4, 1, 3, 0, 4, 3, 4, 2, 0, 4, 0, 4, 0, 3, 2, 1, 4, 0, 2, 1, 4, 3, 2, 1, 1, 2, 0, 2, 0, 0, 4, 1, 4, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 4, 3, 2, 4, 0, 0, 4, 2, 0, 2, 3, 0, 4, 4, 0, 0, 0, 2, 2, 4, 3, 1, 1, 3, 4, 2, 2, 1, 0, 2, 4, 4, 3, 1, 0, 3, 0, 4, 2, 0, 3, 3, 2, 4, 2, 3, 4, 0, 1, 1, 3, 2, 1, 2, 4, 2, 3, 2, 3, 3, 1, 3, 1, 4, 1, 4, 2, 1, 3, 1, 1, 3, 4, 1, 2, 2, 4, 4, 3, 0, 2, 1, 3, 2, 4, 1, 3, 1, 0, 1, 1, 4, 2, 2, 3, 2, 0, 2, 3, 0, 4, 3, 2, 3, 3, 4, 1, 4, 2, 1, 0, 3, 4, 3, 0, 1, 3, 4, 0, 4, 4, 2, 3, 3, 4, 4, 2, 0, 4, 0, 0, 4, 4, 2, 2, 3, 4, 0, 4, 2, 3, 1, 3, 2, 0, 0, 3, 1, 4, 4, 4, 2, 4, 2, 3, 2, 3, 4, 4, 4, 2, 3, 4, 4, 4, 4, 0, 1, 1, 4, 3, 1, 1, 2, 4, 4, 3, 1, 0, 3, 0, 2, 4, 1, 4]
pubkeycol1375 = [3, 1, 4, 3, 4, 2, 1, 1, 3, 2, 2, 3, 1, 3, 2, 3, 1, 0, 1, 3, 2, 0, 4, 3, 3, 2, 2, 2, 3, 2, 2, 4, 0, 2, 2, 0, 0, 2, 1, 2, 2, 4, 1, 3, 3, 3, 4, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 1, 4, 0, 1, 0, 4, 3, 1, 4, 3, 4, 0, 2, 3, 2, 1, 3, 1, 3, 0, 1, 2, 3, 4, 2, 0, 2, 0, 3, 1, 0, 3, 1, 4, 1, 2, 1, 4, 2, 4, 1, 1, 4, 1, 0, 2, 1, 4, 3, 2, 1, 3, 1, 2, 2, 2, 0, 2, 4, 2, 1, 4, 0, 0, 4, 0, 0, 1, 2, 4, 4, 0, 3, 0, 2, 1, 0, 3, 4, 3, 1, 4, 4, 2, 2, 1, 4, 0, 1, 2, 4, 2, 2, 1, 4, 4, 3, 2, 2, 3, 1, 3, 0, 3, 2, 1, 2, 2, 4, 2, 1, 1, 0, 4, 1, 4, 4, 2, 3, 1, 0, 0, 4, 4, 2, 3, 0, 1, 1, 4, 1, 1, 2, 0, 4, 4, 0, 2, 1, 2, 0, 4, 4, 2, 4, 0, 0, 1, 4, 4, 1, 2, 2, 2, 0, 1, 4, 2, 2, 1, 1, 2, 0, 4, 3, 3, 2, 1, 3, 0, 0, 1, 1, 4, 1, 4, 3, 2, 3, 0, 0, 0, 0, 3, 1, 0, 4, 1, 3, 3, 0, 0, 4, 0, 1, 2, 4, 3, 4, 1, 1, 3, 3, 4, 3, 1, 1, 3, 1, 0, 0, 4, 1, 0, 0, 0, 0, 2, 0, 4, 4, 1, 3, 4, 1, 4, 1, 2, 4, 3, 1, 1, 4, 1, 0, 2, 0, 0, 1, 3, 1, 1, 2, 0, 1, 0, 0, 2, 4, 4, 0, 1, 3, 1, 1, 1, 3, 1, 4, 2, 1, 2, 0, 3, 2, 0, 0, 3, 4, 4, 0, 3, 1, 1, 2, 3, 0, 3, 1, 0, 1, 3, 1, 4, 1, 2, 1, 0, 0, 2, 4, 4, 4, 4, 3, 1, 1, 4, 4, 4, 4, 3, 1, 0, 3, 4, 0, 3, 2, 3, 4, 4, 1, 4, 4, 1, 3, 1, 3, 1, 4, 2, 0, 1, 1, 4, 4, 2, 0, 3, 1, 4, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 4]
pubkeycol1376 = [0, 4, 4, 4, 0, 0, 0, 0, 4, 3, 3, 0, 0, 4, 1, 4, 2, 2, 0, 4, 1, 2, 2, 3, 4, 2, 4, 1, 0, 2, 4, 1, 1, 0, 4, 3, 0, 3, 3, 1, 0, 2, 0, 1, 3, 4, 0, 1, 2, 3, 1, 2, 4, 1, 1, 1, 4, 3, 4, 0, 1, 4, 1, 1, 2, 2, 2, 0, 1, 0, 4, 4, 4, 1, 4, 0, 3, 1, 1, 4, 0, 3, 0, 0, 0, 1, 3, 2, 3, 1, 1, 1, 3, 1, 1, 0, 4, 1, 3, 4, 0, 1, 1, 3, 1, 2, 2, 2, 4, 2, 2, 2, 4, 3, 2, 3, 0, 2, 2, 4, 2, 4, 4, 3, 4, 2, 1, 1, 3, 1, 0, 1, 0, 0, 3, 2, 0, 3, 2, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 3, 3, 0, 0, 1, 3, 3, 1, 3, 3, 2, 4, 1, 1, 1, 2, 1, 3, 4, 4, 0, 0, 3, 3, 2, 4, 1, 0, 2, 1, 4, 3, 0, 1, 2, 4, 0, 3, 0, 4, 4, 3, 0, 0, 1, 1, 1, 3, 0, 2, 2, 1, 0, 0, 2, 0, 3, 2, 2, 0, 0, 0, 3, 2, 3, 1, 4, 3, 3, 1, 4, 3, 3, 4, 4, 0, 1, 1, 0, 4, 3, 3, 3, 0, 3, 0, 0, 3, 3, 4, 1, 0, 0, 1, 3, 1, 3, 2, 0, 3, 0, 0, 1, 4, 0, 2, 3, 1, 2, 2, 1, 0, 2, 3, 3, 3, 3, 0, 4, 0, 1, 0, 0, 0, 1, 3, 3, 4, 4, 1, 0, 1, 4, 1, 4, 3, 0, 1, 0, 4, 4, 0, 3, 1, 1, 4, 2, 4, 4, 4, 2, 0, 4, 3, 1, 0, 3, 3, 1, 4, 2, 1, 3, 2, 3, 2, 2, 3, 1, 3, 4, 0, 2, 0, 3, 1, 4, 1, 2, 2, 1, 4, 0, 2, 0, 3, 4, 2, 1, 0, 2, 3, 2, 0, 4, 1, 0, 2, 4, 0, 3, 3, 0, 4, 3, 2, 3, 4, 3, 3, 4, 2, 3, 0, 3, 3, 3, 3, 3, 3, 1, 0, 0, 0, 2, 2, 2, 3, 3, 3, 1, 3, 3, 2, 4, 0, 1, 0, 1, 4, 2, 4, 4, 4, 1, 4, 4, 1, 0, 1]
pubkeycol1377 = [0, 4, 1, 2, 0, 3, 0, 2, 2, 0, 2, 3, 1, 2, 1, 3, 4, 2, 3, 4, 1, 4, 0, 2, 4, 1, 3, 0, 1, 2, 0, 0, 3, 3, 1, 3, 3, 3, 0, 3, 1, 2, 1, 0, 0, 3, 1, 0, 0, 0, 2, 0, 0, 4, 2, 3, 3, 2, 3, 0, 2, 3, 0, 3, 0, 0, 1, 4, 4, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 4, 3, 4, 2, 0, 1, 1, 3, 3, 3, 4, 3, 3, 2, 0, 1, 4, 2, 4, 3, 3, 2, 0, 0, 0, 2, 2, 1, 0, 4, 4, 2, 3, 3, 0, 1, 0, 3, 4, 4, 0, 0, 2, 1, 3, 1, 2, 4, 1, 4, 1, 4, 3, 1, 4, 2, 0, 1, 4, 4, 2, 1, 1, 2, 0, 4, 3, 4, 0, 2, 3, 2, 2, 4, 3, 3, 3, 0, 2, 2, 0, 2, 4, 3, 4, 1, 2, 2, 3, 4, 1, 2, 4, 3, 2, 3, 0, 1, 2, 4, 2, 0, 0, 2, 3, 1, 3, 0, 2, 3, 1, 3, 4, 4, 4, 1, 3, 3, 0, 2, 0, 2, 0, 2, 4, 4, 2, 4, 0, 3, 2, 2, 4, 0, 4, 4, 3, 0, 4, 4, 2, 2, 3, 4, 4, 0, 1, 0, 2, 3, 0, 2, 2, 0, 1, 1, 4, 1, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 1, 3, 3, 1, 0, 1, 1, 1, 3, 4, 2, 4, 3, 1, 2, 2, 4, 3, 0, 1, 2, 0, 2, 1, 2, 2, 0, 4, 2, 0, 3, 3, 0, 1, 1, 2, 3, 3, 3, 0, 1, 2, 0, 3, 2, 2, 3, 3, 3, 2, 3, 2, 0, 4, 0, 2, 0, 3, 2, 4, 4, 2, 0, 4, 0, 2, 4, 2, 3, 0, 2, 4, 0, 1, 1, 2, 2, 4, 1, 0, 3, 0, 2, 3, 1, 3, 3, 2, 3, 0, 0, 1, 3, 0, 1, 4, 2, 2, 4, 4, 2, 0, 4, 2, 1, 1, 2, 0, 1, 1, 0, 4, 0, 3, 4, 0, 0, 0, 0, 3, 1, 3, 4, 0, 1, 1, 2, 3, 1, 3, 2, 3, 1, 1, 4, 0, 0, 0, 1, 1, 1, 1, 4, 3, 1, 3, 0, 4, 2, 0, 2]
pubkeycol1378 = [4, 2, 4, 1, 1, 1, 2, 2, 4, 4, 4, 1, 1, 3, 0, 4, 1, 1, 4, 1, 2, 4, 4, 1, 2, 1, 3, 0, 3, 1, 3, 3, 3, 2, 0, 3, 1, 3, 4, 4, 0, 2, 0, 4, 0, 2, 2, 2, 0, 4, 0, 1, 3, 2, 2, 4, 0, 0, 4, 3, 1, 3, 3, 0, 3, 3, 1, 4, 2, 1, 4, 3, 3, 4, 4, 0, 1, 1, 3, 2, 1, 4, 2, 3, 2, 1, 4, 1, 1, 0, 2, 4, 4, 0, 0, 3, 3, 4, 2, 1, 2, 0, 3, 3, 1, 0, 4, 0, 2, 1, 2, 0, 2, 4, 3, 2, 3, 0, 3, 2, 4, 1, 3, 2, 0, 2, 0, 4, 2, 1, 4, 4, 4, 1, 4, 3, 1, 2, 1, 0, 4, 3, 2, 3, 3, 0, 4, 0, 2, 4, 1, 3, 2, 0, 0, 4, 2, 2, 3, 4, 1, 3, 3, 0, 0, 2, 3, 1, 1, 0, 2, 4, 2, 0, 0, 1, 2, 1, 4, 1, 2, 2, 3, 1, 1, 4, 1, 3, 4, 4, 0, 3, 3, 3, 0, 3, 3, 4, 1, 1, 3, 3, 0, 4, 3, 3, 4, 1, 0, 1, 0, 4, 1, 1, 0, 3, 0, 2, 0, 0, 2, 0, 4, 1, 3, 2, 1, 2, 3, 2, 3, 4, 1, 1, 3, 4, 4, 1, 1, 2, 4, 4, 0, 4, 4, 2, 1, 4, 3, 2, 3, 1, 3, 4, 1, 2, 3, 0, 0, 4, 1, 3, 1, 2, 3, 4, 0, 0, 2, 0, 0, 2, 4, 4, 0, 0, 1, 4, 2, 1, 4, 0, 1, 1, 4, 1, 1, 4, 1, 3, 0, 1, 0, 2, 3, 1, 3, 2, 3, 3, 2, 1, 3, 2, 4, 2, 2, 2, 4, 2, 2, 2, 1, 2, 1, 4, 3, 4, 3, 0, 2, 2, 4, 2, 4, 3, 1, 3, 0, 2, 2, 3, 1, 4, 1, 1, 3, 0, 1, 4, 2, 1, 1, 4, 4, 0, 2, 0, 4, 4, 4, 2, 4, 0, 1, 1, 1, 0, 0, 0, 2, 1, 4, 1, 3, 4, 1, 3, 4, 0, 3, 2, 3, 4, 3, 2, 2, 2, 2, 0, 0, 2, 1, 2, 3, 1, 3, 2, 2, 1, 4, 0, 4, 4, 3, 0, 0, 2, 3, 3]
pubkeycol1379 = [0, 3, 3, 1, 4, 0, 2, 3, 1, 4, 4, 0, 0, 0, 4, 1, 1, 2, 4, 0, 3, 0, 4, 0, 3, 4, 2, 4, 4, 3, 1, 0, 4, 2, 3, 0, 4, 1, 3, 3, 2, 3, 1, 3, 2, 2, 0, 0, 4, 2, 3, 3, 4, 1, 3, 1, 2, 4, 0, 2, 2, 4, 3, 2, 3, 3, 4, 4, 3, 1, 4, 0, 4, 4, 2, 4, 3, 2, 4, 3, 4, 0, 4, 4, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 3, 1, 3, 3, 4, 3, 4, 0, 0, 1, 3, 4, 1, 0, 0, 3, 2, 0, 4, 3, 0, 4, 1, 4, 2, 4, 0, 2, 2, 3, 3, 2, 2, 2, 1, 3, 2, 1, 4, 2, 0, 3, 3, 4, 3, 0, 3, 0, 3, 3, 4, 0, 1, 3, 3, 3, 1, 1, 0, 3, 1, 4, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 3, 0, 2, 4, 2, 4, 0, 2, 0, 2, 1, 1, 4, 4, 4, 1, 2, 1, 0, 2, 1, 3, 3, 2, 1, 0, 2, 3, 0, 3, 1, 4, 1, 2, 3, 2, 4, 1, 1, 3, 2, 1, 3, 2, 1, 2, 3, 2, 4, 4, 2, 0, 2, 3, 2, 1, 0, 1, 4, 0, 1, 0, 1, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 3, 0, 0, 0, 1, 4, 0, 4, 4, 4, 1, 2, 0, 2, 0, 0, 2, 1, 3, 0, 0, 3, 2, 1, 1, 0, 3, 4, 0, 3, 2, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 1, 0, 4, 0, 4, 3, 4, 3, 3, 4, 1, 1, 3, 1, 4, 0, 2, 1, 3, 4, 3, 0, 4, 2, 3, 3, 0, 0, 2, 2, 0, 0, 2, 3, 1, 0, 2, 3, 0, 0, 1, 1, 3, 2, 1, 3, 4, 4, 3, 3, 0, 4, 1, 3, 0, 4, 2, 2, 0, 1, 2, 0, 1, 0, 4, 0, 1, 3, 4, 1, 1, 1, 0, 4, 4, 4, 1, 1, 4, 0, 0, 1, 4, 1, 3, 4, 4, 2, 2, 4, 0, 1, 2, 2, 1, 3, 2, 1, 1, 1, 4, 0, 2, 3, 4, 0]
pubkeycol1380 = [2, 2, 0, 3, 4, 4, 2, 3, 0, 2, 3, 4, 0, 4, 4, 2, 2, 3, 4, 0, 4, 0, 2, 2, 4, 4, 0, 0, 0, 1, 4, 2, 3, 2, 0, 0, 2, 3, 0, 2, 2, 4, 3, 2, 4, 0, 2, 2, 0, 3, 2, 4, 2, 0, 4, 4, 4, 0, 0, 3, 0, 3, 1, 2, 0, 2, 3, 0, 3, 1, 1, 3, 1, 0, 2, 0, 0, 3, 4, 3, 3, 1, 3, 3, 1, 2, 3, 0, 3, 0, 3, 2, 4, 2, 2, 4, 2, 3, 4, 0, 1, 4, 4, 0, 1, 2, 0, 4, 0, 1, 2, 1, 2, 4, 2, 0, 3, 4, 0, 2, 3, 0, 3, 1, 3, 1, 4, 0, 3, 1, 2, 4, 3, 4, 4, 1, 4, 3, 0, 3, 1, 0, 2, 0, 3, 0, 2, 2, 3, 2, 3, 1, 3, 4, 0, 1, 4, 1, 1, 3, 1, 0, 1, 4, 1, 1, 4, 2, 1, 4, 2, 3, 2, 4, 3, 3, 4, 3, 1, 2, 4, 1, 4, 1, 4, 4, 1, 3, 2, 4, 0, 3, 0, 3, 1, 1, 4, 4, 4, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 0, 0, 4, 4, 3, 2, 1, 4, 1, 4, 0, 1, 0, 0, 4, 3, 0, 1, 0, 0, 3, 1, 0, 4, 0, 2, 3, 1, 2, 0, 2, 2, 0, 1, 3, 1, 3, 2, 4, 1, 1, 2, 0, 1, 1, 0, 3, 1, 0, 0, 0, 3, 4, 2, 3, 4, 3, 1, 0, 3, 2, 4, 3, 3, 0, 2, 0, 4, 3, 1, 1, 3, 1, 3, 1, 1, 2, 0, 4, 2, 3, 4, 2, 0, 2, 3, 0, 1, 2, 1, 1, 4, 3, 1, 3, 3, 4, 1, 0, 3, 0, 4, 2, 0, 0, 4, 3, 4, 0, 1, 0, 0, 3, 4, 1, 4, 4, 0, 0, 4, 0, 1, 1, 2, 0, 0, 3, 1, 4, 2, 4, 2, 2, 1, 3, 4, 4, 2, 4, 1, 4, 4, 3, 2, 0, 4, 0, 4, 4, 4, 3, 2, 3, 1, 0, 0, 2, 4, 4, 3, 2, 4, 3, 2, 2, 2, 0, 4, 3, 2, 0, 4, 0, 3, 0, 1, 0, 1, 1, 4, 1, 4, 3, 0, 0, 1, 2, 2, 2, 3, 2]
pubkeycol1381 = [2, 4, 2, 1, 3, 4, 0, 2, 2, 4, 2, 1, 2, 3, 4, 1, 1, 1, 0, 4, 2, 1, 0, 2, 2, 4, 1, 0, 0, 4, 2, 4, 3, 3, 4, 2, 2, 1, 2, 0, 3, 1, 0, 4, 2, 2, 2, 2, 4, 1, 3, 1, 0, 0, 2, 1, 4, 0, 2, 4, 1, 2, 3, 4, 1, 0, 4, 3, 0, 4, 0, 0, 1, 0, 1, 1, 4, 1, 1, 0, 1, 0, 3, 3, 4, 1, 1, 1, 2, 3, 4, 4, 2, 1, 0, 0, 3, 4, 2, 0, 2, 1, 0, 0, 1, 4, 2, 0, 2, 0, 2, 4, 1, 0, 2, 3, 0, 1, 1, 2, 3, 1, 3, 4, 3, 0, 3, 2, 0, 2, 2, 0, 3, 3, 4, 4, 3, 1, 1, 2, 4, 0, 1, 2, 4, 1, 2, 4, 4, 3, 0, 1, 4, 3, 3, 1, 4, 0, 1, 1, 3, 1, 4, 4, 4, 3, 4, 1, 2, 3, 0, 1, 0, 2, 2, 4, 4, 1, 2, 0, 3, 1, 3, 4, 2, 4, 4, 2, 0, 4, 3, 0, 1, 2, 2, 0, 3, 1, 2, 0, 3, 3, 2, 1, 0, 0, 0, 1, 3, 4, 2, 1, 3, 2, 2, 4, 4, 0, 2, 0, 4, 0, 1, 0, 0, 1, 0, 4, 2, 0, 0, 1, 2, 3, 3, 1, 2, 0, 2, 3, 3, 0, 3, 2, 4, 3, 4, 2, 4, 3, 3, 3, 1, 0, 1, 0, 4, 1, 0, 1, 1, 3, 1, 4, 2, 2, 4, 1, 4, 2, 4, 3, 0, 3, 3, 4, 4, 4, 2, 4, 4, 2, 1, 3, 1, 0, 4, 3, 2, 4, 1, 0, 4, 2, 3, 0, 1, 0, 4, 3, 4, 1, 0, 4, 3, 0, 2, 3, 4, 2, 0, 4, 4, 3, 2, 4, 2, 3, 0, 1, 3, 2, 0, 2, 2, 2, 3, 3, 3, 1, 4, 1, 3, 3, 3, 2, 2, 2, 2, 4, 0, 3, 4, 2, 4, 2, 4, 1, 1, 0, 0, 4, 3, 3, 3, 3, 2, 2, 1, 1, 3, 0, 0, 1, 0, 1, 1, 2, 2, 4, 2, 2, 2, 3, 4, 2, 3, 3, 2, 3, 1, 1, 1, 0, 0, 3, 0, 3, 0, 3, 1, 3, 1, 1, 2, 0, 3, 0, 4, 2]
pubkeycol1382 = [4, 3, 3, 0, 3, 3, 0, 2, 1, 2, 3, 2, 0, 3, 3, 4, 0, 2, 4, 0, 2, 1, 2, 2, 1, 2, 3, 0, 3, 0, 4, 4, 1, 0, 2, 4, 1, 1, 4, 0, 4, 2, 2, 3, 4, 4, 4, 3, 1, 2, 0, 3, 0, 3, 1, 2, 1, 0, 3, 0, 1, 1, 1, 1, 3, 4, 0, 1, 0, 0, 4, 0, 2, 2, 4, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 0, 3, 4, 2, 4, 4, 3, 2, 3, 1, 1, 1, 1, 0, 3, 0, 0, 4, 2, 1, 1, 4, 4, 0, 0, 1, 0, 4, 0, 3, 4, 0, 3, 0, 2, 4, 3, 2, 3, 3, 1, 3, 4, 0, 2, 2, 3, 4, 1, 4, 3, 2, 4, 1, 3, 2, 3, 1, 2, 3, 4, 2, 1, 3, 3, 2, 4, 4, 4, 3, 4, 3, 2, 0, 4, 0, 3, 4, 0, 4, 2, 2, 4, 1, 0, 0, 1, 2, 2, 3, 1, 2, 3, 4, 2, 3, 0, 3, 0, 0, 0, 2, 4, 4, 3, 1, 0, 3, 4, 0, 0, 0, 4, 0, 2, 3, 4, 2, 1, 4, 2, 2, 2, 1, 1, 4, 0, 1, 4, 4, 4, 2, 4, 4, 1, 0, 3, 4, 0, 0, 3, 4, 3, 2, 1, 4, 1, 2, 1, 4, 2, 3, 0, 0, 1, 2, 0, 0, 2, 0, 2, 3, 3, 2, 4, 2, 2, 2, 4, 4, 2, 2, 2, 3, 1, 3, 1, 0, 3, 3, 1, 0, 2, 1, 2, 2, 0, 4, 4, 2, 2, 4, 1, 3, 3, 2, 4, 1, 4, 0, 3, 3, 0, 2, 2, 4, 0, 4, 2, 4, 2, 3, 4, 2, 3, 4, 1, 1, 3, 1, 0, 4, 1, 1, 2, 3, 2, 1, 1, 0, 3, 4, 0, 0, 0, 0, 2, 4, 2, 2, 0, 3, 0, 0, 4, 4, 4, 4, 3, 2, 1, 2, 0, 1, 4, 2, 3, 2, 2, 3, 2, 0, 0, 2, 1, 2, 0, 3, 1, 1, 0, 2, 4, 3, 2, 4, 4, 1, 4, 2, 4, 0, 1, 3, 3, 3, 1, 3, 4, 2, 0, 3, 0, 3, 0, 0, 4, 3, 0, 4, 3, 2, 0, 1, 2, 2, 2, 3, 0, 3, 1, 1, 3, 1, 1]
pubkeycol1383 = [2, 1, 4, 2, 0, 0, 0, 4, 3, 2, 3, 4, 1, 1, 1, 2, 3, 2, 0, 4, 2, 3, 0, 2, 4, 0, 4, 3, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 3, 3, 0, 3, 4, 0, 4, 3, 1, 1, 3, 4, 3, 1, 0, 3, 0, 2, 1, 0, 0, 4, 0, 1, 1, 4, 4, 3, 4, 2, 2, 2, 2, 4, 3, 2, 4, 3, 0, 0, 4, 2, 0, 2, 1, 4, 2, 2, 4, 2, 0, 2, 4, 3, 0, 1, 4, 1, 2, 1, 0, 2, 0, 1, 3, 4, 1, 2, 3, 2, 0, 1, 0, 2, 4, 1, 2, 0, 0, 3, 0, 2, 2, 4, 3, 0, 3, 2, 0, 3, 4, 0, 0, 3, 2, 1, 3, 4, 2, 4, 4, 2, 3, 1, 3, 0, 3, 0, 1, 2, 4, 0, 0, 4, 1, 1, 1, 1, 0, 3, 1, 0, 2, 2, 3, 0, 1, 3, 4, 2, 2, 2, 3, 2, 4, 3, 2, 0, 4, 3, 1, 0, 3, 3, 4, 2, 0, 3, 1, 0, 3, 4, 0, 4, 4, 2, 3, 4, 2, 2, 0, 4, 4, 1, 0, 1, 1, 0, 1, 3, 1, 3, 3, 1, 2, 0, 0, 2, 3, 3, 0, 4, 2, 0, 4, 1, 2, 3, 2, 0, 1, 1, 2, 1, 4, 4, 2, 3, 4, 1, 2, 0, 3, 1, 0, 4, 4, 3, 2, 2, 2, 1, 4, 1, 0, 1, 3, 0, 3, 2, 3, 0, 3, 4, 3, 1, 4, 0, 0, 3, 4, 0, 4, 1, 0, 3, 2, 0, 4, 2, 4, 3, 0, 0, 1, 3, 1, 3, 0, 3, 1, 0, 4, 0, 1, 0, 2, 2, 2, 4, 4, 2, 1, 1, 3, 2, 1, 2, 0, 1, 2, 4, 2, 2, 4, 3, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 2, 4, 2, 2, 0, 4, 3, 3, 2, 0, 2, 4, 1, 1, 1, 2, 3, 3, 0, 4, 3, 1, 0, 4, 1, 0, 0, 4, 0, 4, 3, 0, 2, 3, 0, 0, 1, 1, 0, 4, 3, 0, 3, 0, 0, 1, 3, 1, 4, 0, 1, 2, 0, 0, 2, 1, 4, 0, 3, 1, 1, 0, 3, 4, 3, 0, 4, 3, 3, 4, 1, 3, 1, 2, 1]
pubkeycol1384 = [2, 2, 3, 2, 2, 0, 4, 2, 0, 2, 3, 4, 0, 0, 3, 3, 3, 2, 4, 3, 4, 0, 4, 1, 4, 1, 3, 1, 1, 2, 2, 1, 2, 4, 1, 3, 2, 4, 0, 2, 4, 3, 3, 3, 2, 2, 4, 3, 4, 1, 0, 0, 2, 2, 3, 1, 3, 2, 1, 2, 3, 3, 4, 2, 2, 1, 0, 1, 4, 2, 4, 0, 4, 0, 0, 1, 0, 4, 3, 2, 4, 4, 4, 1, 1, 3, 2, 0, 4, 3, 2, 4, 3, 3, 3, 4, 0, 3, 1, 1, 2, 3, 4, 3, 0, 0, 4, 3, 3, 3, 2, 1, 4, 4, 0, 0, 1, 4, 1, 2, 0, 1, 1, 3, 3, 4, 0, 1, 4, 4, 3, 1, 1, 0, 0, 4, 3, 4, 1, 3, 4, 0, 1, 1, 3, 1, 0, 1, 3, 3, 3, 4, 1, 2, 1, 2, 3, 4, 1, 2, 3, 2, 4, 4, 2, 0, 3, 1, 4, 1, 1, 3, 4, 4, 0, 4, 3, 3, 3, 4, 0, 0, 4, 1, 0, 2, 2, 3, 1, 4, 4, 1, 4, 1, 4, 2, 2, 0, 3, 4, 2, 2, 3, 3, 3, 0, 4, 0, 1, 0, 2, 1, 2, 2, 3, 1, 3, 4, 0, 3, 2, 1, 2, 0, 0, 0, 1, 1, 0, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 0, 2, 2, 4, 1, 4, 3, 4, 3, 0, 4, 0, 0, 0, 1, 1, 4, 4, 2, 4, 3, 0, 1, 4, 4, 3, 2, 0, 2, 1, 2, 1, 2, 1, 4, 0, 1, 4, 0, 1, 3, 3, 1, 4, 0, 2, 0, 2, 1, 0, 0, 4, 4, 4, 1, 0, 3, 0, 0, 4, 4, 0, 2, 0, 1, 2, 0, 3, 2, 4, 2, 1, 4, 3, 4, 2, 3, 4, 0, 4, 2, 3, 3, 1, 1, 3, 1, 4, 4, 2, 0, 1, 4, 2, 4, 1, 2, 0, 0, 0, 0, 1, 3, 1, 0, 3, 4, 0, 1, 4, 1, 2, 1, 0, 2, 1, 1, 4, 0, 2, 2, 1, 4, 3, 3, 3, 0, 3, 4, 4, 1, 1, 2, 2, 1, 2, 4, 1, 1, 0, 0, 0, 2, 3, 4, 2, 0, 3, 1, 0, 1, 1, 2, 0, 4, 2, 1, 1, 0, 1, 2]
pubkeycol1385 = [1, 1, 4, 2, 2, 4, 4, 3, 1, 3, 4, 0, 0, 3, 1, 4, 3, 1, 4, 1, 1, 1, 2, 1, 3, 2, 3, 4, 4, 2, 4, 3, 0, 3, 0, 2, 3, 2, 0, 4, 0, 2, 1, 0, 1, 2, 4, 2, 4, 1, 0, 4, 2, 1, 3, 3, 3, 0, 3, 1, 3, 0, 4, 0, 4, 3, 3, 2, 3, 1, 4, 1, 3, 1, 0, 2, 1, 0, 1, 4, 2, 0, 2, 0, 2, 0, 3, 2, 3, 0, 3, 1, 3, 4, 4, 0, 0, 0, 0, 4, 0, 3, 3, 1, 0, 2, 4, 0, 3, 2, 1, 3, 4, 1, 4, 3, 2, 0, 3, 4, 0, 4, 3, 2, 3, 4, 2, 0, 4, 2, 0, 3, 4, 2, 4, 1, 0, 1, 3, 4, 3, 1, 0, 1, 2, 4, 4, 0, 3, 4, 0, 4, 3, 2, 3, 2, 2, 0, 1, 2, 2, 3, 0, 1, 1, 0, 0, 2, 4, 1, 2, 3, 3, 0, 1, 4, 0, 1, 0, 0, 1, 0, 4, 4, 2, 1, 0, 1, 1, 3, 3, 2, 3, 0, 1, 4, 1, 2, 3, 1, 2, 0, 0, 3, 3, 3, 1, 4, 3, 4, 1, 1, 1, 0, 0, 3, 1, 1, 3, 3, 2, 0, 2, 1, 3, 3, 2, 4, 4, 2, 0, 1, 3, 1, 3, 4, 1, 4, 4, 3, 1, 1, 3, 0, 3, 1, 0, 0, 3, 4, 2, 3, 4, 4, 1, 1, 0, 1, 3, 4, 1, 0, 3, 2, 4, 2, 3, 0, 4, 2, 4, 0, 0, 1, 4, 2, 2, 4, 4, 3, 0, 0, 0, 1, 3, 1, 4, 2, 3, 3, 3, 4, 2, 4, 4, 0, 3, 1, 0, 1, 1, 4, 3, 0, 1, 0, 0, 3, 3, 2, 2, 3, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 3, 0, 0, 1, 1, 4, 4, 0, 1, 3, 0, 1, 1, 1, 4, 3, 0, 3, 1, 0, 0, 0, 1, 1, 1, 4, 1, 3, 0, 4, 0, 0, 4, 3, 4, 2, 2, 3, 3, 1, 0, 3, 3, 2, 4, 0, 1, 4, 4, 1, 2, 3, 2, 0, 0, 1, 4, 2, 2, 2, 0, 0, 4, 1, 4, 3, 3, 0, 1, 0, 2, 1, 1, 2]
pubkeycol1386 = [4, 2, 2, 1, 4, 1, 1, 3, 2, 1, 4, 2, 3, 2, 2, 3, 3, 0, 1, 2, 4, 0, 4, 1, 0, 1, 1, 4, 0, 2, 3, 3, 2, 4, 4, 4, 0, 3, 0, 0, 0, 4, 2, 0, 0, 1, 0, 3, 0, 2, 3, 1, 0, 0, 2, 3, 0, 3, 3, 1, 0, 2, 1, 1, 1, 0, 2, 3, 3, 0, 0, 4, 1, 4, 3, 0, 1, 1, 4, 2, 0, 3, 0, 3, 2, 3, 2, 1, 4, 2, 4, 1, 2, 0, 1, 3, 4, 1, 3, 1, 0, 3, 0, 3, 4, 4, 1, 2, 3, 2, 2, 4, 2, 3, 4, 2, 3, 1, 1, 0, 1, 2, 0, 1, 0, 3, 1, 3, 3, 1, 2, 1, 0, 4, 1, 0, 1, 4, 3, 1, 0, 3, 3, 1, 1, 3, 1, 4, 0, 0, 1, 2, 4, 3, 4, 3, 4, 2, 3, 4, 0, 1, 4, 4, 1, 2, 4, 2, 0, 1, 3, 4, 1, 0, 2, 2, 1, 1, 0, 4, 4, 4, 4, 4, 0, 4, 3, 1, 4, 4, 4, 4, 3, 0, 0, 0, 3, 3, 4, 4, 0, 3, 2, 3, 2, 0, 2, 2, 0, 0, 0, 4, 4, 0, 3, 4, 3, 0, 4, 1, 4, 1, 1, 2, 2, 0, 4, 1, 1, 3, 1, 0, 4, 0, 1, 2, 0, 4, 0, 4, 0, 0, 0, 2, 1, 4, 4, 3, 4, 1, 4, 1, 2, 4, 1, 3, 2, 0, 4, 1, 3, 1, 3, 0, 1, 0, 4, 1, 1, 2, 2, 0, 2, 2, 4, 3, 1, 4, 1, 0, 0, 0, 1, 1, 4, 4, 2, 1, 0, 3, 0, 2, 3, 1, 2, 0, 4, 0, 4, 1, 1, 3, 3, 2, 4, 2, 1, 3, 0, 4, 4, 0, 3, 4, 1, 2, 4, 4, 0, 4, 3, 3, 2, 4, 2, 4, 1, 4, 0, 4, 2, 4, 0, 3, 0, 0, 0, 2, 0, 4, 2, 3, 2, 3, 0, 2, 1, 4, 3, 2, 1, 0, 1, 2, 4, 4, 4, 4, 3, 4, 1, 0, 0, 4, 4, 0, 4, 0, 3, 0, 1, 1, 2, 1, 3, 0, 3, 4, 4, 3, 0, 4, 4, 3, 1, 0, 1, 1, 0, 3, 4, 1, 4, 2, 1, 1, 2, 3, 4, 1]
pubkeycol1387 = [3, 4, 3, 1, 0, 0, 1, 0, 1, 1, 0, 4, 0, 3, 0, 1, 4, 0, 2, 1, 0, 3, 3, 4, 2, 2, 0, 4, 2, 3, 0, 0, 1, 0, 1, 3, 0, 3, 3, 4, 1, 3, 2, 3, 4, 3, 1, 3, 1, 2, 4, 0, 3, 4, 0, 1, 3, 1, 4, 3, 0, 2, 1, 1, 3, 2, 2, 2, 2, 3, 2, 0, 2, 2, 2, 4, 4, 1, 3, 0, 0, 2, 1, 3, 4, 1, 2, 1, 4, 0, 4, 3, 4, 3, 2, 2, 3, 0, 4, 4, 0, 2, 1, 0, 3, 2, 2, 4, 3, 3, 4, 2, 4, 1, 3, 0, 1, 4, 0, 2, 4, 4, 0, 1, 1, 1, 3, 3, 2, 1, 4, 2, 4, 4, 0, 4, 0, 1, 4, 4, 4, 3, 4, 4, 4, 4, 3, 0, 2, 4, 2, 2, 1, 2, 4, 0, 2, 2, 4, 3, 1, 1, 3, 4, 0, 2, 1, 2, 0, 1, 3, 4, 0, 0, 3, 4, 3, 0, 1, 3, 0, 0, 1, 1, 3, 3, 4, 2, 0, 3, 3, 1, 0, 4, 1, 0, 0, 4, 0, 2, 0, 2, 0, 0, 0, 4, 3, 3, 4, 0, 2, 0, 2, 0, 3, 4, 4, 1, 3, 2, 0, 0, 1, 3, 1, 0, 2, 1, 0, 3, 2, 3, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 3, 3, 2, 4, 1, 2, 0, 4, 4, 3, 2, 1, 0, 2, 0, 3, 0, 2, 4, 0, 2, 3, 2, 1, 1, 0, 1, 0, 4, 0, 1, 3, 1, 0, 2, 4, 4, 3, 0, 2, 2, 2, 4, 3, 0, 4, 1, 2, 3, 3, 0, 4, 0, 1, 4, 1, 4, 0, 0, 1, 0, 4, 0, 0, 2, 3, 4, 1, 4, 2, 3, 3, 2, 0, 2, 3, 0, 4, 0, 3, 3, 0, 4, 0, 2, 3, 0, 4, 1, 4, 2, 0, 0, 4, 4, 2, 3, 1, 3, 1, 0, 3, 1, 3, 3, 4, 1, 1, 3, 1, 4, 1, 4, 4, 0, 2, 4, 2, 3, 2, 4, 4, 3, 4, 0, 4, 4, 1, 1, 2, 3, 2, 1, 1, 4, 1, 3, 2, 4, 0, 0, 1, 4, 2, 2, 4, 1, 2, 2, 0, 1, 0, 4, 0, 1, 0, 0]
pubkeycol1388 = [0, 3, 1, 4, 0, 4, 1, 4, 4, 0, 3, 2, 0, 0, 2, 4, 0, 4, 2, 4, 3, 3, 4, 1, 2, 4, 1, 2, 4, 2, 0, 4, 1, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 1, 1, 3, 0, 3, 1, 0, 3, 2, 1, 4, 3, 4, 1, 3, 0, 4, 2, 2, 2, 3, 1, 4, 0, 1, 1, 0, 1, 2, 1, 1, 3, 2, 0, 0, 1, 4, 2, 2, 1, 0, 4, 2, 4, 3, 2, 0, 0, 2, 0, 2, 0, 2, 3, 4, 0, 1, 0, 2, 1, 0, 0, 0, 3, 0, 4, 2, 4, 4, 4, 2, 3, 1, 1, 4, 0, 1, 2, 3, 0, 3, 1, 4, 0, 0, 3, 1, 2, 3, 1, 0, 0, 2, 0, 4, 4, 0, 1, 2, 0, 3, 4, 4, 3, 0, 3, 1, 1, 2, 4, 1, 0, 0, 0, 3, 1, 3, 3, 4, 1, 2, 0, 0, 2, 4, 2, 3, 2, 3, 2, 0, 4, 3, 2, 3, 3, 1, 3, 3, 4, 2, 4, 0, 0, 0, 3, 3, 0, 3, 3, 4, 2, 1, 3, 4, 0, 4, 0, 4, 2, 4, 4, 3, 0, 1, 4, 2, 3, 3, 4, 0, 1, 2, 2, 4, 3, 0, 0, 1, 4, 1, 3, 4, 2, 2, 3, 0, 1, 2, 1, 0, 0, 2, 2, 3, 3, 4, 4, 3, 3, 3, 2, 0, 1, 0, 4, 1, 4, 4, 1, 0, 3, 0, 4, 3, 1, 0, 1, 4, 2, 4, 2, 3, 3, 2, 0, 4, 0, 0, 2, 3, 1, 4, 0, 0, 1, 0, 2, 1, 4, 2, 4, 1, 1, 4, 4, 4, 0, 0, 3, 4, 0, 2, 3, 4, 0, 4, 1, 0, 2, 2, 2, 4, 3, 4, 1, 0, 4, 1, 1, 4, 1, 4, 1, 3, 2, 1, 0, 1, 3, 2, 4, 2, 4, 0, 4, 4, 1, 3, 3, 4, 1, 1, 4, 4, 4, 2, 1, 2, 4, 3, 4, 3, 0, 1, 2, 2, 0, 2, 4, 2, 3, 0, 4, 4, 0, 0, 1, 3, 0, 0, 4, 4, 0, 3, 2, 4, 2, 0, 4, 4, 2, 0, 1, 4, 4, 1, 3, 3, 2, 2, 2, 1, 3, 0, 2, 3, 1, 4, 1, 2, 0, 4, 0, 0, 2, 2]
pubkeycol1389 = [4, 3, 3, 2, 2, 3, 1, 2, 3, 4, 3, 0, 1, 4, 0, 3, 1, 0, 0, 4, 3, 0, 3, 3, 2, 3, 1, 3, 4, 1, 4, 2, 1, 2, 2, 1, 4, 3, 2, 4, 3, 4, 1, 0, 1, 0, 0, 4, 3, 1, 4, 3, 1, 3, 3, 4, 0, 1, 3, 1, 3, 4, 1, 4, 3, 0, 4, 1, 4, 3, 3, 0, 2, 3, 0, 2, 2, 1, 2, 3, 4, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 4, 2, 3, 0, 1, 3, 4, 4, 0, 3, 2, 0, 3, 2, 1, 4, 2, 4, 3, 3, 3, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 3, 1, 1, 1, 4, 3, 0, 1, 2, 1, 2, 2, 1, 0, 1, 3, 4, 0, 0, 4, 0, 1, 3, 0, 4, 0, 2, 4, 2, 2, 2, 1, 0, 2, 1, 4, 2, 2, 1, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 1, 2, 0, 4, 4, 2, 1, 3, 3, 0, 0, 3, 2, 1, 1, 0, 2, 0, 3, 4, 2, 3, 4, 2, 3, 0, 2, 3, 1, 0, 4, 0, 2, 3, 4, 2, 3, 1, 0, 4, 0, 3, 2, 2, 4, 3, 2, 4, 2, 3, 1, 1, 0, 3, 3, 4, 1, 4, 4, 3, 0, 2, 2, 0, 3, 0, 4, 0, 3, 4, 3, 4, 4, 3, 1, 2, 4, 0, 3, 1, 2, 4, 3, 3, 2, 4, 0, 4, 3, 3, 1, 3, 3, 4, 3, 3, 4, 4, 0, 1, 1, 0, 3, 4, 3, 0, 1, 1, 1, 3, 2, 1, 4, 4, 1, 0, 4, 1, 3, 0, 1, 1, 0, 0, 2, 2, 0, 2, 4, 4, 4, 2, 2, 1, 2, 2, 1, 0, 1, 3, 2, 0, 0, 3, 0, 1, 1, 1, 0, 1, 1, 3, 4, 0, 0, 3, 3, 0, 3, 1, 3, 4, 3, 2, 0, 0, 0, 1, 0, 2, 4, 4, 1, 4, 0, 2, 4, 0, 4, 1, 0, 3, 2, 2, 2, 3, 0, 3, 4, 2, 3, 2, 2, 2, 0, 3, 0, 3, 2, 1, 1, 4, 2, 4, 3, 1, 1, 1, 1, 3, 4, 4, 4, 2, 0, 4, 3, 3, 4, 1, 4, 2, 4, 4]
pubkeycol1390 = [2, 2, 4, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 4, 3, 4, 4, 2, 4, 0, 2, 1, 3, 2, 3, 1, 1, 2, 2, 2, 1, 3, 2, 0, 2, 4, 2, 0, 1, 2, 3, 3, 2, 2, 1, 4, 0, 2, 3, 2, 1, 3, 2, 2, 0, 0, 2, 3, 0, 2, 4, 1, 1, 3, 1, 1, 0, 3, 4, 1, 2, 4, 1, 2, 0, 3, 3, 4, 1, 2, 2, 4, 2, 2, 2, 1, 2, 0, 2, 1, 2, 3, 1, 1, 0, 3, 0, 0, 4, 1, 2, 1, 1, 2, 1, 0, 3, 4, 1, 0, 0, 0, 3, 1, 2, 2, 1, 4, 2, 1, 0, 1, 3, 4, 1, 3, 1, 2, 3, 2, 3, 1, 4, 3, 3, 3, 4, 2, 3, 0, 1, 0, 0, 3, 0, 0, 1, 4, 0, 0, 0, 3, 1, 3, 2, 4, 4, 1, 4, 1, 3, 1, 0, 2, 1, 0, 1, 0, 3, 1, 0, 3, 1, 3, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 4, 0, 3, 2, 3, 4, 1, 1, 2, 4, 3, 0, 3, 2, 0, 3, 0, 1, 1, 0, 2, 3, 0, 1, 3, 2, 2, 0, 3, 1, 1, 2, 1, 0, 1, 1, 3, 1, 0, 4, 3, 2, 4, 2, 3, 0, 2, 2, 3, 4, 1, 2, 2, 4, 3, 1, 1, 0, 2, 0, 0, 0, 3, 2, 0, 4, 2, 4, 4, 0, 4, 1, 2, 2, 2, 3, 1, 3, 2, 4, 1, 0, 1, 0, 4, 4, 0, 1, 0, 0, 2, 2, 3, 4, 1, 1, 4, 1, 0, 1, 2, 4, 2, 2, 3, 3, 3, 1, 0, 4, 3, 2, 4, 1, 1, 2, 3, 0, 2, 4, 2, 4, 1, 2, 0, 3, 1, 3, 2, 4, 0, 0, 3, 4, 2, 1, 0, 1, 2, 2, 0, 3, 3, 1, 2, 3, 1, 3, 0, 2, 4, 0, 4, 4, 4, 2, 1, 2, 4, 2, 4, 3, 4, 4, 4, 2, 0, 3, 3, 4, 2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 3, 2, 2, 4, 3, 1, 1, 0, 0, 2, 4, 1, 0, 0, 0, 2, 0, 1, 1, 4, 2, 0, 4, 3, 4, 2, 4, 0, 3, 1, 3, 2]
pubkeycol1391 = [2, 1, 1, 1, 4, 0, 1, 4, 1, 4, 4, 0, 3, 3, 2, 0, 3, 0, 3, 4, 4, 1, 0, 2, 0, 3, 3, 4, 0, 0, 0, 2, 1, 3, 4, 3, 0, 0, 2, 4, 1, 2, 0, 4, 0, 4, 3, 4, 2, 3, 3, 3, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 3, 4, 3, 3, 4, 4, 0, 1, 3, 1, 3, 1, 3, 3, 1, 3, 0, 3, 3, 3, 0, 0, 4, 4, 4, 1, 0, 2, 0, 2, 1, 4, 3, 2, 1, 1, 2, 4, 4, 0, 1, 1, 2, 4, 0, 0, 3, 4, 1, 0, 0, 0, 3, 4, 1, 0, 0, 2, 2, 4, 1, 4, 4, 3, 2, 0, 0, 1, 3, 4, 3, 0, 2, 1, 4, 3, 2, 3, 3, 1, 2, 1, 2, 0, 2, 0, 4, 3, 3, 2, 3, 4, 1, 0, 1, 0, 0, 3, 1, 0, 3, 3, 1, 1, 3, 4, 0, 4, 0, 0, 4, 0, 3, 1, 0, 1, 3, 4, 1, 3, 0, 3, 3, 2, 4, 2, 1, 2, 1, 1, 2, 3, 2, 1, 3, 4, 3, 1, 0, 3, 1, 3, 4, 4, 4, 3, 4, 0, 1, 0, 2, 0, 0, 4, 4, 4, 2, 4, 3, 4, 4, 3, 3, 0, 0, 0, 2, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 0, 3, 3, 3, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 3, 1, 2, 2, 3, 4, 0, 4, 4, 3, 4, 1, 3, 0, 1, 2, 2, 2, 3, 1, 1, 4, 3, 1, 3, 0, 4, 1, 2, 2, 3, 3, 2, 0, 3, 1, 1, 4, 1, 4, 0, 3, 3, 0, 1, 3, 1, 1, 4, 4, 4, 1, 0, 3, 2, 2, 1, 0, 3, 2, 2, 1, 0, 2, 3, 0, 2, 2, 4, 0, 2, 1, 2, 1, 1, 4, 3, 3, 0, 4, 2, 2, 0, 3, 2, 2, 2, 1, 2, 3, 3, 0, 4, 0, 4, 0, 4, 4, 3, 1, 0, 0, 2, 2, 0, 1, 2, 3, 2, 3, 2, 0, 3, 2, 0, 1, 0, 1, 4, 4, 1, 4, 0, 1, 1, 3, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 3]
pubkeycol1392 = [3, 3, 1, 2, 2, 3, 0, 3, 2, 0, 4, 1, 4, 4, 3, 2, 4, 0, 4, 2, 1, 3, 0, 2, 2, 1, 3, 3, 0, 4, 0, 4, 0, 2, 0, 3, 1, 0, 2, 4, 4, 0, 0, 2, 1, 2, 2, 2, 4, 1, 4, 1, 4, 1, 4, 3, 1, 2, 1, 4, 1, 2, 4, 0, 0, 4, 0, 4, 3, 1, 3, 3, 1, 4, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 4, 3, 3, 2, 0, 4, 3, 0, 4, 3, 3, 2, 4, 0, 3, 3, 4, 4, 3, 2, 4, 1, 1, 0, 1, 0, 2, 4, 1, 1, 0, 3, 2, 2, 2, 0, 1, 3, 3, 0, 1, 0, 2, 2, 2, 3, 1, 1, 3, 2, 1, 3, 3, 1, 0, 0, 2, 1, 3, 2, 1, 1, 0, 2, 1, 3, 4, 4, 3, 2, 2, 3, 4, 0, 4, 2, 2, 4, 1, 3, 0, 0, 0, 4, 4, 1, 2, 0, 1, 2, 0, 1, 0, 4, 1, 1, 3, 3, 2, 1, 4, 2, 1, 1, 2, 3, 2, 3, 2, 0, 4, 3, 2, 4, 0, 4, 2, 3, 2, 2, 2, 4, 4, 1, 2, 1, 1, 2, 4, 0, 2, 2, 3, 4, 3, 3, 3, 1, 3, 2, 3, 2, 0, 3, 1, 3, 0, 4, 1, 1, 0, 1, 1, 3, 0, 1, 3, 3, 1, 3, 4, 1, 3, 0, 3, 3, 2, 1, 1, 0, 1, 1, 2, 1, 1, 3, 0, 2, 4, 0, 4, 3, 4, 1, 2, 2, 3, 0, 3, 0, 3, 2, 4, 4, 0, 1, 0, 4, 4, 3, 3, 3, 2, 2, 1, 3, 3, 4, 3, 1, 1, 3, 0, 1, 2, 1, 1, 2, 3, 3, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 4, 1, 0, 3, 1, 1, 1, 1, 2, 4, 1, 4, 4, 1, 1, 2, 2, 4, 0, 2, 2, 1, 1, 4, 0, 4, 2, 0, 0, 0, 0, 4, 2, 4, 1, 0, 1, 2, 4, 2, 2, 0, 2, 0, 1, 1, 4, 3, 0, 3, 4, 0, 0, 1, 0, 1, 1, 4, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 3, 0, 4, 3, 0, 3, 2, 0, 0, 2, 4, 3, 2, 2, 3, 4]
pubkeycol1393 = [0, 3, 3, 1, 0, 0, 0, 3, 3, 2, 0, 0, 0, 2, 4, 3, 3, 0, 4, 4, 0, 3, 2, 1, 3, 3, 0, 4, 4, 0, 0, 4, 0, 0, 2, 4, 3, 4, 0, 2, 3, 2, 2, 0, 2, 3, 1, 2, 4, 0, 4, 2, 1, 0, 3, 3, 3, 2, 1, 1, 0, 0, 3, 1, 3, 0, 3, 2, 1, 3, 3, 3, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 3, 4, 2, 0, 3, 4, 0, 3, 2, 3, 3, 4, 0, 0, 0, 1, 0, 3, 3, 4, 2, 2, 2, 4, 4, 1, 3, 4, 3, 0, 4, 0, 4, 3, 2, 3, 0, 3, 0, 0, 1, 0, 2, 4, 1, 1, 4, 4, 2, 2, 4, 2, 1, 3, 3, 3, 3, 0, 4, 1, 0, 0, 3, 4, 4, 3, 4, 4, 4, 0, 0, 2, 3, 3, 4, 2, 4, 4, 0, 2, 4, 2, 3, 4, 1, 1, 0, 0, 1, 0, 4, 0, 1, 4, 4, 1, 0, 4, 1, 4, 4, 3, 2, 2, 2, 4, 0, 1, 1, 0, 2, 4, 2, 4, 0, 1, 2, 1, 4, 2, 4, 3, 0, 3, 1, 0, 4, 3, 4, 3, 2, 0, 0, 2, 3, 3, 4, 1, 3, 1, 2, 1, 0, 3, 2, 4, 1, 0, 0, 3, 4, 0, 3, 4, 2, 1, 1, 0, 2, 0, 4, 4, 4, 4, 3, 1, 4, 4, 0, 0, 4, 4, 0, 2, 1, 1, 1, 3, 1, 1, 4, 3, 0, 1, 3, 2, 2, 3, 0, 3, 4, 0, 1, 4, 4, 0, 0, 4, 0, 0, 0, 3, 4, 0, 3, 1, 2, 0, 0, 3, 3, 0, 1, 2, 4, 4, 4, 0, 4, 3, 3, 4, 2, 0, 1, 3, 2, 3, 1, 1, 1, 2, 0, 2, 3, 1, 2, 3, 3, 1, 1, 4, 4, 0, 3, 3, 1, 3, 0, 1, 1, 4, 4, 3, 1, 4, 1, 2, 3, 2, 3, 2, 4, 4, 0, 3, 4, 2, 4, 0, 0, 3, 2, 4, 1, 1, 1, 2, 0, 0, 4, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 4, 0, 4, 3, 3, 3, 1, 1, 1, 1, 4, 4, 1, 2, 3, 3, 0, 4, 1, 4, 4, 0, 0, 3, 4, 3, 1]
pubkeycol1394 = [0, 3, 3, 0, 2, 2, 2, 2, 2, 3, 1, 1, 3, 1, 0, 4, 1, 3, 2, 1, 4, 3, 0, 4, 3, 3, 1, 0, 3, 4, 2, 2, 3, 3, 3, 3, 3, 1, 1, 4, 0, 2, 0, 2, 3, 3, 4, 0, 3, 2, 3, 1, 3, 4, 3, 0, 3, 0, 0, 0, 0, 2, 3, 1, 3, 0, 4, 1, 1, 2, 2, 4, 3, 4, 0, 0, 3, 2, 4, 1, 1, 0, 0, 4, 1, 0, 2, 2, 3, 3, 0, 1, 1, 4, 2, 2, 3, 3, 2, 4, 2, 4, 1, 4, 4, 4, 3, 0, 4, 0, 1, 3, 2, 3, 4, 3, 2, 0, 0, 1, 4, 3, 2, 2, 3, 0, 1, 3, 0, 4, 4, 2, 0, 2, 4, 2, 0, 4, 1, 1, 4, 4, 0, 4, 2, 1, 1, 2, 2, 3, 2, 1, 3, 4, 2, 3, 1, 0, 1, 3, 1, 0, 0, 1, 2, 1, 1, 2, 4, 2, 1, 1, 1, 4, 2, 3, 0, 4, 0, 4, 3, 0, 1, 4, 1, 2, 3, 1, 1, 3, 1, 0, 3, 3, 1, 4, 1, 2, 4, 4, 4, 3, 4, 3, 3, 0, 1, 4, 0, 3, 0, 2, 2, 4, 4, 0, 3, 4, 2, 2, 0, 1, 1, 1, 4, 0, 4, 3, 4, 2, 2, 2, 2, 1, 4, 0, 3, 4, 2, 4, 2, 2, 0, 0, 2, 2, 1, 2, 0, 4, 4, 3, 3, 1, 3, 1, 3, 1, 0, 2, 2, 4, 3, 0, 2, 1, 3, 1, 1, 2, 4, 2, 3, 1, 4, 4, 0, 3, 1, 2, 2, 4, 1, 3, 0, 3, 0, 3, 4, 1, 1, 0, 2, 0, 0, 1, 3, 3, 4, 3, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 0, 0, 2, 3, 3, 4, 4, 1, 4, 0, 2, 4, 3, 3, 1, 4, 1, 2, 3, 4, 0, 1, 1, 3, 3, 4, 4, 3, 3, 4, 1, 3, 4, 1, 0, 0, 2, 1, 4, 3, 4, 4, 3, 1, 2, 1, 2, 4, 0, 1, 4, 4, 4, 3, 4, 0, 3, 2, 2, 2, 1, 3, 0, 3, 2, 4, 1, 3, 0, 1, 0, 2, 1, 1, 2, 3, 2, 4, 3, 0, 4, 4, 3, 0, 3, 1, 2, 4, 3]
pubkeycol1395 = [1, 0, 0, 2, 4, 3, 0, 0, 1, 2, 0, 1, 2, 4, 1, 1, 1, 0, 3, 2, 0, 2, 4, 1, 0, 1, 1, 0, 4, 4, 2, 0, 2, 3, 2, 1, 3, 0, 0, 2, 2, 1, 3, 4, 0, 4, 4, 2, 3, 3, 2, 1, 1, 2, 0, 2, 0, 2, 3, 2, 1, 2, 4, 2, 2, 3, 4, 4, 1, 0, 1, 0, 4, 1, 2, 2, 4, 1, 2, 3, 3, 2, 1, 4, 1, 2, 0, 2, 3, 2, 4, 3, 4, 1, 1, 0, 2, 3, 0, 1, 1, 4, 2, 2, 1, 1, 0, 0, 0, 1, 3, 1, 4, 3, 2, 1, 4, 4, 3, 4, 3, 4, 0, 2, 1, 4, 4, 0, 1, 4, 0, 1, 1, 4, 3, 1, 3, 3, 3, 3, 4, 1, 2, 4, 3, 1, 2, 2, 4, 2, 2, 3, 1, 2, 3, 2, 2, 0, 3, 0, 0, 1, 2, 1, 3, 2, 1, 4, 4, 1, 2, 4, 1, 4, 3, 4, 2, 3, 3, 4, 2, 1, 1, 3, 2, 2, 3, 4, 2, 1, 1, 4, 4, 4, 2, 1, 2, 1, 2, 2, 3, 1, 4, 0, 4, 1, 3, 0, 0, 1, 2, 4, 0, 4, 1, 3, 2, 4, 0, 4, 1, 4, 4, 4, 1, 0, 0, 3, 1, 4, 4, 1, 3, 1, 0, 2, 1, 1, 1, 4, 3, 3, 3, 0, 0, 4, 0, 4, 4, 2, 1, 4, 4, 0, 3, 4, 1, 1, 4, 2, 3, 1, 4, 2, 1, 4, 4, 0, 1, 0, 3, 3, 3, 3, 3, 3, 0, 3, 4, 0, 1, 0, 2, 3, 4, 1, 1, 4, 0, 1, 1, 4, 2, 4, 0, 4, 4, 4, 4, 4, 1, 1, 0, 0, 4, 4, 2, 1, 2, 4, 1, 3, 4, 4, 2, 3, 4, 0, 4, 2, 4, 4, 4, 0, 0, 2, 0, 0, 2, 3, 3, 3, 3, 2, 3, 2, 1, 1, 2, 4, 3, 1, 4, 3, 0, 3, 0, 3, 1, 3, 4, 4, 0, 2, 0, 2, 3, 4, 1, 4, 0, 3, 0, 2, 0, 3, 2, 2, 4, 4, 1, 0, 4, 2, 3, 1, 1, 4, 1, 3, 3, 2, 3, 2, 1, 4, 4, 4, 3, 4, 3, 4, 4, 1, 1, 0, 4, 0, 3, 1]
pubkeycol1396 = [2, 3, 2, 1, 4, 2, 2, 3, 1, 0, 3, 3, 2, 3, 0, 0, 2, 4, 3, 4, 4, 3, 2, 3, 3, 2, 2, 0, 3, 1, 4, 4, 1, 0, 3, 0, 4, 1, 4, 4, 0, 3, 1, 2, 4, 1, 0, 1, 3, 1, 4, 0, 2, 1, 4, 4, 4, 1, 3, 0, 3, 1, 0, 0, 3, 3, 3, 1, 2, 0, 2, 3, 0, 0, 4, 2, 1, 0, 3, 2, 2, 0, 0, 2, 2, 4, 2, 3, 1, 4, 1, 4, 0, 2, 3, 3, 0, 1, 0, 4, 3, 3, 1, 3, 4, 1, 3, 1, 4, 4, 4, 2, 2, 4, 3, 1, 2, 2, 1, 3, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 3, 3, 2, 2, 2, 3, 1, 2, 4, 4, 3, 3, 0, 0, 4, 4, 2, 0, 0, 1, 3, 2, 1, 4, 1, 3, 3, 0, 2, 4, 2, 0, 2, 1, 1, 3, 1, 0, 2, 0, 0, 4, 0, 2, 4, 1, 3, 1, 1, 3, 2, 2, 2, 3, 1, 0, 0, 4, 4, 3, 4, 2, 2, 0, 1, 4, 3, 4, 2, 2, 0, 1, 2, 1, 4, 0, 0, 1, 2, 3, 0, 4, 3, 4, 2, 4, 0, 2, 0, 3, 4, 3, 4, 1, 1, 1, 0, 1, 0, 2, 0, 2, 4, 3, 2, 0, 1, 0, 3, 3, 0, 2, 2, 1, 0, 4, 3, 1, 3, 3, 2, 3, 4, 3, 4, 3, 0, 4, 3, 0, 2, 2, 2, 2, 4, 0, 2, 2, 3, 3, 4, 4, 1, 1, 1, 3, 3, 3, 4, 4, 1, 4, 3, 0, 2, 0, 4, 3, 2, 2, 0, 3, 1, 1, 0, 4, 4, 3, 0, 4, 2, 0, 3, 1, 3, 2, 2, 0, 2, 2, 3, 1, 4, 2, 2, 4, 4, 4, 1, 2, 1, 3, 4, 2, 2, 3, 4, 1, 2, 3, 4, 3, 2, 4, 4, 2, 4, 4, 4, 2, 2, 3, 3, 4, 1, 3, 4, 1, 1, 1, 4, 4, 4, 0, 0, 1, 4, 2, 3, 3, 4, 0, 2, 3, 2, 3, 0, 1, 2, 0, 3, 2, 2, 4, 0, 4, 4, 4, 2, 0, 1, 1, 1, 4, 2, 0, 2, 3, 3, 2, 0, 1, 3, 0, 4, 4, 2, 4, 4]
pubkeycol1397 = [2, 4, 3, 1, 3, 4, 4, 3, 3, 2, 3, 3, 4, 4, 1, 2, 0, 3, 4, 1, 2, 4, 2, 3, 2, 3, 4, 0, 4, 2, 2, 0, 1, 2, 3, 3, 2, 1, 2, 1, 3, 1, 2, 3, 0, 4, 2, 1, 0, 0, 3, 3, 4, 0, 3, 2, 4, 1, 3, 2, 0, 1, 1, 2, 2, 0, 1, 4, 3, 2, 1, 0, 4, 3, 3, 3, 2, 2, 4, 4, 1, 0, 4, 3, 3, 2, 4, 4, 0, 1, 2, 3, 0, 2, 2, 4, 4, 4, 4, 2, 1, 0, 1, 1, 1, 1, 2, 2, 4, 2, 2, 3, 0, 3, 4, 4, 3, 4, 2, 4, 3, 4, 4, 2, 0, 0, 0, 1, 3, 0, 2, 4, 0, 3, 0, 2, 4, 4, 2, 3, 2, 2, 2, 2, 3, 2, 4, 2, 2, 3, 4, 3, 1, 0, 2, 3, 0, 4, 2, 2, 1, 4, 2, 4, 3, 4, 4, 0, 2, 1, 3, 1, 0, 0, 1, 4, 3, 1, 4, 2, 4, 4, 1, 4, 4, 1, 0, 2, 4, 4, 4, 2, 2, 2, 1, 4, 2, 3, 0, 0, 2, 4, 3, 2, 0, 3, 2, 4, 1, 0, 1, 4, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 1, 3, 1, 4, 0, 2, 0, 4, 2, 0, 2, 0, 4, 3, 0, 4, 2, 3, 3, 2, 2, 1, 0, 3, 4, 3, 0, 1, 0, 0, 1, 0, 2, 3, 3, 1, 2, 4, 0, 3, 3, 4, 2, 0, 4, 1, 0, 4, 3, 1, 2, 3, 0, 2, 3, 0, 0, 1, 0, 2, 1, 4, 1, 2, 2, 1, 2, 2, 0, 3, 1, 2, 4, 0, 2, 1, 2, 3, 0, 4, 2, 4, 1, 4, 3, 0, 2, 1, 3, 1, 1, 0, 4, 3, 4, 0, 3, 1, 3, 4, 1, 2, 2, 2, 2, 3, 2, 1, 3, 3, 3, 3, 3, 4, 3, 0, 2, 3, 0, 3, 3, 0, 3, 1, 3, 1, 2, 3, 0, 3, 4, 4, 0, 2, 3, 1, 0, 3, 0, 3, 0, 2, 4, 2, 0, 3, 3, 3, 3, 3, 3, 1, 2, 1, 2, 2, 1, 3, 2, 2, 0, 2, 0, 1, 1, 3, 3, 0, 1, 3, 4, 4, 1, 1, 3, 4, 1, 4]
pubkeycol1398 = [4, 2, 4, 1, 1, 0, 1, 1, 0, 4, 3, 1, 4, 1, 2, 4, 1, 1, 2, 4, 1, 0, 3, 2, 2, 1, 2, 4, 2, 4, 1, 4, 3, 3, 3, 4, 0, 4, 3, 3, 0, 4, 1, 0, 1, 1, 2, 1, 0, 3, 4, 3, 3, 3, 0, 4, 0, 4, 2, 3, 0, 4, 3, 2, 2, 0, 4, 1, 1, 2, 2, 3, 0, 1, 4, 4, 4, 3, 0, 3, 4, 1, 0, 0, 1, 4, 1, 4, 0, 1, 2, 0, 4, 3, 2, 1, 0, 0, 4, 2, 0, 2, 1, 1, 0, 1, 2, 4, 3, 2, 1, 3, 4, 1, 3, 1, 1, 2, 3, 1, 3, 4, 2, 2, 2, 1, 2, 0, 1, 1, 4, 3, 4, 0, 2, 0, 4, 1, 3, 4, 3, 0, 1, 2, 3, 1, 0, 4, 4, 1, 2, 3, 3, 0, 2, 0, 4, 3, 2, 3, 3, 0, 1, 0, 2, 3, 3, 3, 3, 3, 2, 4, 2, 2, 2, 3, 0, 4, 4, 0, 4, 3, 0, 0, 3, 1, 0, 4, 2, 1, 3, 4, 3, 4, 0, 2, 3, 2, 2, 4, 4, 4, 1, 4, 4, 2, 3, 2, 2, 4, 3, 1, 3, 0, 4, 2, 1, 1, 3, 0, 3, 0, 3, 0, 0, 0, 2, 4, 2, 2, 0, 2, 4, 0, 1, 4, 2, 4, 4, 2, 1, 4, 2, 3, 1, 2, 3, 4, 1, 0, 2, 0, 3, 4, 4, 4, 1, 1, 4, 0, 0, 2, 4, 3, 3, 1, 4, 0, 0, 2, 2, 1, 4, 0, 1, 4, 4, 4, 3, 0, 2, 2, 3, 4, 4, 3, 1, 0, 1, 0, 2, 3, 1, 2, 3, 0, 0, 2, 0, 1, 3, 2, 2, 4, 3, 1, 4, 4, 0, 0, 0, 2, 2, 4, 0, 3, 2, 3, 4, 1, 0, 0, 4, 4, 0, 3, 1, 1, 0, 2, 4, 1, 3, 0, 4, 4, 3, 1, 2, 2, 4, 2, 2, 1, 1, 3, 4, 4, 0, 3, 4, 2, 3, 3, 4, 4, 2, 3, 2, 1, 4, 0, 0, 2, 0, 3, 2, 3, 4, 0, 0, 2, 3, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 3, 4, 3, 1, 4, 3, 3, 0, 4, 4, 0, 1, 2, 2, 0]
pubkeycol1399 = [2, 1, 3, 3, 3, 1, 1, 4, 3, 0, 3, 4, 2, 0, 1, 2, 4, 1, 1, 2, 2, 0, 2, 3, 4, 4, 0, 0, 0, 0, 1, 0, 4, 0, 1, 3, 1, 3, 4, 0, 2, 4, 0, 1, 3, 0, 4, 2, 3, 1, 1, 4, 2, 3, 4, 3, 2, 1, 4, 1, 0, 2, 4, 2, 1, 3, 1, 1, 3, 0, 2, 0, 1, 1, 4, 3, 3, 4, 4, 4, 0, 2, 3, 3, 4, 2, 0, 4, 0, 2, 2, 1, 4, 1, 2, 2, 1, 1, 4, 1, 3, 1, 0, 4, 2, 4, 4, 4, 0, 4, 0, 3, 3, 1, 4, 3, 3, 1, 2, 3, 0, 1, 4, 4, 2, 1, 0, 3, 3, 2, 1, 3, 4, 2, 3, 4, 0, 4, 4, 1, 2, 3, 4, 2, 0, 4, 4, 2, 2, 3, 2, 3, 1, 2, 1, 0, 3, 4, 4, 1, 4, 1, 3, 1, 4, 1, 2, 3, 0, 0, 3, 0, 4, 2, 3, 0, 0, 4, 0, 4, 1, 3, 1, 2, 3, 3, 4, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 4, 4, 0, 0, 1, 3, 2, 3, 0, 2, 3, 1, 4, 4, 0, 4, 3, 0, 4, 2, 3, 3, 1, 0, 3, 0, 0, 0, 0, 1, 4, 1, 1, 3, 3, 2, 2, 3, 0, 2, 4, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 3, 3, 1, 4, 1, 3, 4, 2, 2, 2, 1, 1, 3, 4, 1, 3, 2, 0, 3, 0, 0, 3, 1, 4, 3, 0, 4, 1, 1, 1, 3, 0, 1, 3, 4, 3, 3, 2, 1, 4, 3, 3, 1, 4, 1, 1, 3, 0, 0, 4, 0, 1, 1, 2, 1, 3, 2, 4, 1, 2, 2, 1, 3, 4, 1, 3, 1, 4, 2, 3, 3, 4, 2, 0, 1, 3, 2, 2, 3, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 3, 3, 2, 4, 0, 1, 2, 0, 2, 1, 1, 4, 1, 3, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 3, 3, 4, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 4, 2, 2, 4, 3, 1, 1, 0, 3, 2, 4, 3, 4, 4, 0, 3, 1, 1, 2, 2, 4, 0, 4]
pubkeycol1400 = [2, 4, 2, 0, 1, 0, 0, 1, 4, 1, 4, 4, 1, 3, 3, 0, 4, 4, 2, 3, 0, 4, 0, 4, 2, 0, 3, 1, 0, 0, 4, 0, 2, 4, 2, 0, 4, 2, 0, 2, 3, 2, 4, 1, 4, 3, 2, 3, 0, 4, 3, 2, 0, 1, 4, 4, 0, 0, 2, 1, 2, 3, 2, 3, 2, 2, 3, 1, 3, 1, 4, 4, 3, 2, 0, 2, 1, 3, 4, 2, 0, 1, 0, 4, 4, 0, 3, 0, 1, 3, 0, 2, 4, 1, 0, 3, 2, 4, 2, 0, 1, 4, 1, 4, 0, 2, 1, 2, 3, 2, 0, 3, 1, 3, 0, 1, 3, 1, 1, 0, 0, 2, 4, 4, 2, 0, 4, 3, 1, 1, 2, 2, 2, 4, 1, 4, 2, 4, 3, 4, 3, 2, 1, 3, 4, 3, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 3, 1, 1, 0, 4, 2, 0, 1, 0, 4, 4, 4, 4, 2, 0, 2, 2, 1, 0, 0, 0, 3, 4, 4, 4, 0, 4, 3, 2, 2, 0, 4, 0, 0, 3, 0, 0, 1, 1, 4, 2, 1, 1, 3, 0, 2, 2, 0, 3, 4, 2, 1, 4, 1, 2, 2, 4, 2, 2, 0, 1, 3, 1, 0, 3, 4, 3, 1, 3, 1, 4, 1, 1, 0, 4, 2, 0, 3, 2, 2, 4, 4, 2, 4, 4, 3, 0, 4, 3, 4, 1, 2, 4, 1, 3, 3, 0, 3, 3, 2, 4, 1, 1, 0, 1, 0, 4, 4, 1, 4, 1, 2, 0, 1, 2, 2, 1, 4, 2, 0, 2, 3, 0, 2, 0, 1, 2, 4, 3, 3, 3, 2, 1, 2, 3, 3, 1, 1, 2, 0, 1, 3, 3, 4, 4, 2, 0, 0, 3, 3, 2, 4, 2, 0, 2, 1, 4, 4, 4, 3, 0, 0, 1, 0, 3, 4, 0, 2, 2, 1, 0, 3, 0, 4, 0, 1, 0, 2, 0, 0, 2, 0, 2, 4, 1, 4, 0, 2, 3, 1, 3, 2, 1, 0, 1, 4, 3, 1, 3, 4, 3, 3, 0, 0, 2, 4, 3, 2, 1, 4, 1, 1, 0, 1, 0, 2, 1, 4, 1, 2, 4, 1, 2, 3, 2, 2, 4, 1, 0, 3, 1, 3, 4, 1, 2, 4, 4, 1, 0, 3, 4, 1, 1, 3]
pubkeycol1401 = [3, 1, 4, 4, 2, 1, 0, 2, 4, 4, 2, 2, 1, 2, 1, 0, 1, 4, 1, 0, 0, 1, 3, 2, 3, 1, 2, 1, 3, 1, 0, 0, 4, 1, 2, 1, 1, 0, 4, 0, 4, 0, 4, 2, 1, 3, 4, 4, 1, 4, 4, 2, 2, 2, 1, 3, 4, 2, 0, 0, 3, 0, 1, 0, 4, 4, 1, 3, 1, 3, 2, 1, 2, 3, 3, 0, 4, 4, 2, 0, 2, 3, 2, 2, 2, 1, 0, 4, 1, 3, 1, 3, 0, 3, 4, 2, 0, 3, 0, 4, 4, 1, 4, 0, 2, 4, 4, 1, 1, 3, 4, 2, 2, 2, 1, 3, 2, 1, 1, 0, 1, 3, 2, 4, 3, 2, 2, 1, 3, 1, 4, 3, 4, 0, 1, 1, 4, 2, 1, 2, 4, 4, 1, 2, 0, 4, 2, 0, 0, 0, 2, 0, 3, 4, 0, 3, 4, 4, 1, 2, 4, 3, 4, 2, 0, 0, 3, 3, 4, 4, 1, 2, 4, 0, 1, 4, 4, 2, 2, 2, 3, 3, 4, 1, 3, 2, 0, 4, 2, 2, 4, 0, 1, 0, 3, 3, 0, 3, 0, 0, 1, 3, 4, 4, 3, 1, 1, 4, 4, 3, 2, 1, 3, 0, 3, 4, 0, 2, 0, 3, 4, 4, 1, 3, 0, 0, 4, 4, 4, 4, 4, 2, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 2, 0, 0, 4, 3, 0, 0, 4, 1, 2, 3, 0, 3, 0, 1, 1, 1, 1, 0, 2, 3, 2, 1, 2, 4, 3, 2, 1, 3, 0, 3, 3, 3, 0, 4, 4, 1, 4, 1, 0, 0, 3, 0, 1, 2, 4, 1, 1, 2, 4, 3, 3, 3, 0, 4, 3, 3, 0, 0, 4, 3, 4, 4, 1, 3, 0, 1, 0, 3, 0, 1, 1, 2, 0, 3, 0, 0, 3, 4, 3, 4, 4, 1, 0, 0, 3, 1, 3, 1, 3, 0, 3, 2, 2, 3, 3, 1, 3, 1, 1, 1, 2, 1, 4, 1, 3, 0, 2, 0, 4, 0, 1, 3, 2, 1, 4, 4, 3, 2, 3, 2, 4, 0, 4, 4, 2, 2, 2, 0, 0, 1, 3, 3, 0, 1, 3, 1, 3, 0, 4, 4, 2, 3, 3, 1, 2, 2, 4, 3, 2, 3, 2, 2, 0, 0, 4, 3, 3]
pubkeycol1402 = [3, 3, 1, 0, 1, 2, 3, 2, 0, 2, 3, 2, 1, 0, 1, 4, 0, 3, 1, 1, 4, 1, 1, 3, 3, 3, 4, 2, 3, 0, 4, 1, 3, 0, 0, 1, 2, 1, 2, 4, 0, 3, 4, 0, 4, 1, 2, 1, 3, 4, 4, 3, 2, 0, 2, 4, 0, 4, 1, 3, 3, 0, 4, 1, 3, 1, 3, 2, 3, 4, 0, 4, 1, 1, 1, 0, 2, 0, 4, 2, 1, 4, 1, 0, 3, 2, 3, 0, 4, 2, 1, 1, 3, 4, 2, 0, 2, 1, 0, 0, 4, 0, 4, 0, 4, 4, 1, 0, 3, 2, 0, 4, 1, 3, 2, 0, 1, 0, 2, 2, 0, 4, 0, 2, 1, 2, 0, 4, 0, 4, 3, 1, 2, 2, 3, 3, 4, 2, 3, 1, 4, 2, 1, 3, 2, 4, 2, 0, 0, 2, 3, 4, 3, 1, 1, 2, 1, 3, 4, 4, 0, 0, 3, 2, 1, 4, 4, 4, 3, 2, 0, 4, 4, 0, 4, 0, 3, 2, 4, 1, 0, 3, 3, 2, 2, 3, 1, 1, 2, 2, 3, 1, 1, 1, 3, 4, 0, 3, 3, 0, 4, 1, 4, 3, 3, 4, 1, 0, 3, 4, 4, 1, 3, 2, 4, 0, 2, 3, 4, 4, 0, 0, 0, 0, 3, 2, 3, 4, 1, 2, 2, 0, 0, 1, 3, 0, 0, 0, 0, 2, 2, 1, 3, 3, 2, 0, 1, 4, 1, 0, 1, 1, 4, 1, 2, 2, 2, 3, 3, 0, 2, 1, 2, 1, 4, 1, 2, 0, 2, 1, 3, 1, 0, 2, 2, 3, 3, 3, 1, 0, 1, 0, 1, 3, 3, 4, 3, 2, 3, 2, 3, 0, 3, 4, 2, 1, 3, 1, 1, 0, 3, 1, 0, 2, 0, 2, 4, 2, 3, 0, 4, 0, 4, 4, 1, 2, 4, 1, 1, 2, 3, 4, 1, 3, 0, 2, 1, 3, 4, 3, 4, 2, 4, 1, 2, 2, 4, 1, 1, 2, 3, 4, 2, 4, 1, 3, 4, 0, 2, 4, 3, 4, 1, 4, 3, 3, 2, 0, 1, 1, 0, 3, 4, 4, 0, 4, 1, 4, 0, 0, 4, 2, 3, 4, 0, 3, 4, 4, 0, 1, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 4, 1, 3, 4, 1, 4, 4, 3, 2, 4]
pubkeycol1403 = [3, 3, 1, 3, 4, 4, 3, 1, 2, 0, 1, 1, 2, 4, 3, 4, 2, 2, 1, 0, 0, 0, 3, 1, 2, 2, 4, 1, 0, 0, 4, 1, 3, 0, 4, 2, 0, 2, 0, 0, 4, 4, 3, 1, 0, 2, 4, 3, 1, 2, 0, 0, 3, 2, 1, 0, 3, 4, 4, 0, 2, 3, 2, 0, 4, 4, 0, 1, 0, 1, 1, 4, 2, 3, 0, 2, 1, 2, 0, 4, 0, 3, 0, 0, 0, 3, 2, 1, 0, 0, 4, 0, 0, 1, 4, 1, 1, 3, 0, 0, 4, 3, 0, 2, 3, 1, 0, 0, 3, 2, 0, 4, 2, 3, 1, 1, 1, 0, 0, 3, 0, 2, 0, 3, 0, 2, 2, 4, 2, 0, 2, 3, 3, 3, 0, 3, 4, 0, 0, 4, 1, 3, 1, 4, 3, 1, 3, 0, 0, 3, 3, 2, 4, 4, 0, 4, 4, 4, 2, 0, 1, 4, 0, 2, 3, 1, 2, 0, 4, 3, 1, 3, 4, 0, 1, 3, 1, 3, 0, 2, 3, 3, 4, 0, 0, 4, 1, 4, 2, 2, 3, 1, 1, 1, 2, 4, 1, 4, 2, 1, 0, 4, 3, 4, 3, 1, 1, 2, 4, 0, 0, 3, 0, 3, 3, 4, 0, 4, 2, 4, 1, 1, 0, 0, 2, 1, 2, 0, 3, 2, 1, 2, 0, 3, 2, 4, 1, 2, 2, 1, 0, 2, 3, 1, 3, 4, 3, 3, 3, 1, 0, 4, 3, 0, 4, 2, 3, 0, 4, 2, 3, 1, 0, 3, 4, 2, 4, 0, 1, 4, 0, 2, 0, 1, 0, 3, 3, 3, 0, 1, 3, 2, 4, 3, 4, 3, 4, 4, 2, 3, 2, 3, 4, 2, 1, 2, 0, 3, 0, 1, 4, 0, 1, 3, 1, 0, 2, 0, 0, 3, 4, 3, 0, 1, 0, 2, 1, 4, 4, 1, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2, 1, 2, 4, 0, 4, 3, 2, 1, 0, 4, 1, 4, 0, 3, 0, 1, 0, 3, 3, 3, 3, 3, 4, 4, 3, 1, 3, 1, 1, 1, 2, 3, 4, 3, 1, 4, 1, 1, 1, 0, 4, 2, 4, 4, 2, 4, 3, 4, 1, 0, 0, 2, 4, 0, 0, 0, 4, 0, 2, 1, 1, 2, 0, 4, 3, 2, 2, 3, 0, 2]
pubkeycol1404 = [2, 4, 0, 3, 4, 2, 3, 1, 1, 4, 3, 0, 3, 2, 2, 0, 2, 3, 4, 2, 1, 4, 3, 0, 2, 2, 2, 2, 0, 3, 4, 3, 0, 0, 1, 0, 2, 3, 4, 1, 3, 0, 2, 0, 3, 1, 1, 2, 2, 3, 2, 1, 3, 3, 2, 4, 1, 4, 1, 4, 0, 4, 3, 2, 2, 0, 4, 0, 1, 0, 4, 1, 0, 0, 3, 4, 4, 2, 1, 3, 1, 0, 4, 3, 1, 3, 3, 2, 4, 4, 4, 0, 2, 4, 2, 0, 3, 2, 4, 3, 1, 2, 1, 4, 0, 2, 3, 1, 2, 0, 0, 2, 0, 1, 3, 0, 0, 0, 1, 0, 0, 2, 2, 4, 0, 1, 0, 3, 1, 4, 4, 0, 2, 4, 0, 4, 0, 1, 3, 1, 4, 3, 1, 1, 2, 0, 3, 2, 0, 4, 0, 4, 3, 0, 4, 3, 0, 2, 0, 4, 4, 0, 0, 2, 4, 3, 2, 3, 3, 1, 1, 3, 0, 4, 4, 4, 4, 1, 0, 1, 4, 1, 2, 1, 3, 0, 1, 3, 4, 1, 1, 2, 3, 2, 0, 1, 2, 4, 4, 2, 1, 1, 2, 1, 2, 0, 3, 1, 3, 4, 3, 0, 3, 2, 4, 3, 3, 4, 2, 3, 1, 0, 0, 4, 0, 0, 1, 4, 0, 0, 0, 4, 4, 2, 2, 4, 2, 2, 0, 4, 1, 2, 4, 0, 3, 0, 3, 3, 1, 2, 1, 4, 3, 1, 2, 3, 1, 4, 4, 0, 0, 0, 1, 0, 1, 1, 4, 3, 3, 2, 2, 2, 4, 0, 3, 0, 3, 4, 1, 3, 4, 1, 4, 0, 3, 3, 0, 4, 3, 0, 2, 2, 2, 1, 0, 1, 4, 2, 4, 3, 2, 3, 4, 2, 2, 0, 4, 0, 4, 0, 4, 1, 2, 3, 1, 0, 0, 4, 2, 1, 3, 4, 3, 3, 1, 3, 3, 3, 3, 3, 0, 1, 0, 2, 4, 0, 2, 3, 4, 0, 4, 4, 1, 1, 3, 4, 4, 4, 0, 0, 4, 1, 4, 0, 2, 2, 0, 3, 0, 4, 0, 0, 0, 0, 2, 3, 1, 3, 1, 1, 4, 1, 3, 1, 2, 0, 1, 3, 1, 4, 3, 2, 4, 0, 1, 3, 1, 3, 4, 0, 0, 2, 2, 1, 4, 0, 2, 1, 1, 3]
pubkeycol1405 = [0, 2, 1, 4, 0, 1, 4, 4, 0, 0, 2, 3, 4, 4, 1, 0, 0, 1, 4, 4, 1, 1, 2, 4, 0, 0, 0, 3, 2, 4, 4, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 4, 3, 0, 3, 1, 2, 4, 1, 1, 1, 0, 1, 0, 4, 3, 0, 2, 4, 4, 3, 3, 1, 3, 4, 2, 2, 2, 2, 3, 0, 1, 0, 2, 2, 4, 0, 1, 2, 0, 3, 1, 1, 2, 3, 0, 3, 2, 1, 3, 1, 3, 3, 1, 4, 1, 4, 0, 0, 2, 0, 1, 3, 1, 0, 0, 3, 3, 4, 0, 4, 4, 0, 4, 2, 0, 2, 2, 1, 1, 0, 2, 4, 0, 0, 2, 3, 0, 4, 3, 3, 1, 3, 3, 3, 3, 4, 0, 2, 1, 4, 3, 4, 1, 4, 1, 1, 1, 3, 1, 4, 0, 1, 0, 3, 3, 3, 4, 2, 4, 0, 3, 3, 4, 2, 1, 3, 0, 0, 4, 1, 2, 4, 1, 4, 2, 2, 4, 2, 3, 1, 2, 4, 0, 0, 4, 2, 3, 4, 2, 2, 0, 3, 2, 3, 3, 1, 3, 4, 3, 2, 2, 0, 1, 1, 2, 4, 2, 3, 1, 4, 1, 4, 0, 3, 4, 0, 0, 4, 1, 2, 0, 1, 1, 3, 0, 3, 2, 2, 3, 2, 1, 2, 0, 2, 0, 4, 0, 0, 1, 1, 3, 3, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 3, 4, 4, 2, 0, 1, 3, 3, 3, 4, 0, 1, 3, 2, 0, 2, 1, 1, 2, 0, 3, 3, 2, 0, 1, 1, 2, 1, 4, 2, 3, 4, 0, 0, 0, 0, 0, 4, 2, 3, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 4, 3, 0, 1, 1, 4, 0, 3, 0, 4, 3, 3, 1, 3, 1, 3, 4, 4, 1, 4, 0, 2, 3, 1, 0, 2, 0, 4, 0, 0, 0, 0, 3, 0, 3, 4, 0, 1, 0, 4, 3, 3, 3, 3, 3, 1, 2, 0, 3, 0, 1, 4, 0, 0, 4, 2, 0, 2, 2, 1, 1, 3, 4, 2, 3, 3, 2, 3, 2, 1, 4, 0, 3, 3, 3, 0, 3, 2, 3, 0, 3, 0, 1, 3, 0, 2, 3, 2, 0, 0, 4, 2, 3, 4, 2, 3]
pubkeycol1406 = [2, 0, 1, 0, 0, 2, 0, 4, 4, 3, 0, 4, 4, 4, 2, 1, 1, 4, 4, 2, 3, 3, 1, 2, 0, 0, 1, 1, 1, 2, 4, 0, 3, 3, 1, 0, 3, 4, 4, 2, 1, 4, 0, 2, 2, 2, 1, 1, 0, 4, 0, 2, 1, 3, 2, 4, 3, 1, 2, 1, 2, 4, 2, 3, 3, 4, 0, 0, 4, 4, 4, 3, 4, 4, 0, 3, 0, 1, 4, 3, 2, 0, 2, 1, 0, 1, 0, 0, 4, 4, 1, 3, 1, 0, 2, 3, 1, 1, 0, 3, 0, 3, 2, 1, 1, 2, 3, 1, 4, 3, 2, 0, 2, 1, 2, 1, 2, 3, 0, 1, 0, 0, 0, 2, 4, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 3, 3, 4, 3, 2, 2, 4, 4, 2, 1, 1, 1, 2, 4, 3, 2, 0, 4, 4, 2, 2, 2, 3, 1, 4, 1, 3, 2, 4, 4, 1, 1, 1, 4, 1, 4, 1, 4, 1, 1, 4, 1, 1, 4, 2, 2, 0, 4, 0, 4, 0, 3, 4, 1, 4, 4, 2, 4, 3, 2, 3, 3, 2, 3, 0, 2, 0, 4, 1, 1, 3, 4, 3, 1, 3, 2, 1, 2, 2, 4, 1, 3, 3, 3, 1, 1, 2, 1, 2, 4, 0, 0, 1, 1, 2, 3, 2, 4, 4, 4, 4, 0, 4, 4, 1, 0, 0, 3, 4, 0, 3, 3, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 3, 4, 1, 2, 2, 3, 3, 1, 2, 1, 4, 1, 1, 4, 0, 4, 0, 3, 2, 4, 4, 3, 0, 0, 3, 1, 4, 3, 0, 0, 2, 1, 3, 4, 0, 4, 1, 4, 2, 1, 2, 3, 0, 3, 3, 2, 0, 4, 3, 2, 4, 3, 1, 0, 1, 3, 4, 0, 4, 2, 4, 1, 0, 2, 4, 4, 4, 0, 1, 2, 2, 0, 4, 2, 1, 4, 2, 1, 2, 1, 2, 2, 3, 4, 2, 0, 0, 2, 4, 2, 4, 0, 0, 3, 3, 0, 2, 4, 1, 4, 4, 4, 2, 1, 2, 4, 4, 2, 4, 3, 1, 0, 3, 0, 4, 3, 2, 1, 3, 3, 4, 3, 1, 2, 4, 4, 4, 2, 4, 3, 0, 1, 0, 0, 4, 4, 4]
pubkeycol1407 = [4, 3, 2, 4, 1, 0, 3, 1, 4, 4, 2, 4, 0, 3, 0, 1, 0, 0, 2, 0, 1, 3, 4, 2, 2, 1, 3, 0, 2, 0, 0, 3, 0, 2, 3, 1, 1, 2, 0, 2, 0, 4, 3, 0, 2, 3, 2, 0, 0, 2, 1, 0, 4, 4, 4, 4, 1, 0, 2, 1, 0, 4, 4, 1, 4, 2, 4, 4, 1, 3, 3, 1, 0, 2, 3, 1, 3, 3, 1, 0, 4, 3, 0, 2, 2, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 0, 1, 0, 3, 3, 4, 3, 2, 0, 0, 2, 0, 0, 4, 4, 1, 4, 4, 2, 1, 1, 2, 0, 4, 0, 2, 2, 3, 1, 1, 3, 4, 1, 1, 0, 2, 0, 4, 0, 3, 1, 3, 4, 0, 1, 1, 2, 2, 3, 1, 4, 3, 3, 0, 3, 1, 2, 3, 4, 3, 1, 2, 2, 0, 1, 4, 2, 4, 1, 0, 3, 2, 2, 1, 1, 0, 1, 4, 1, 1, 2, 0, 0, 3, 1, 1, 3, 4, 3, 0, 0, 4, 3, 0, 0, 0, 0, 0, 1, 2, 1, 4, 4, 0, 2, 4, 1, 2, 4, 3, 0, 1, 1, 0, 3, 1, 1, 3, 3, 4, 1, 0, 3, 2, 1, 2, 3, 4, 3, 1, 2, 1, 0, 0, 3, 1, 4, 4, 2, 3, 2, 2, 1, 3, 3, 2, 3, 1, 0, 1, 2, 1, 1, 3, 1, 2, 4, 3, 1, 2, 3, 3, 1, 1, 2, 3, 2, 3, 1, 0, 3, 3, 2, 1, 3, 4, 4, 3, 0, 3, 1, 0, 1, 1, 0, 3, 0, 0, 3, 2, 0, 4, 3, 0, 1, 2, 0, 2, 3, 0, 0, 3, 0, 1, 2, 4, 3, 3, 0, 0, 2, 3, 3, 3, 0, 1, 0, 3, 4, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 4, 2, 1, 2, 2, 0, 4, 2, 0, 2, 2, 3, 2, 4, 1, 2, 4, 4, 2, 0, 4, 2, 3, 0, 2, 3, 2, 0, 1, 0, 3, 3, 4, 4, 1, 0, 1, 1, 4, 1, 3, 0, 0, 4, 3, 0, 2, 0, 1, 0, 3, 1, 0, 2, 1, 4, 1, 0, 4, 0, 2, 3, 3, 1, 2, 2, 1, 1, 1, 2, 0, 3, 4, 2, 0, 3]
pubkeycol1408 = [2, 2, 2, 4, 4, 2, 1, 3, 0, 2, 0, 1, 3, 2, 2, 1, 2, 0, 3, 2, 2, 2, 0, 0, 4, 1, 3, 3, 1, 1, 0, 1, 1, 0, 4, 3, 4, 0, 2, 3, 3, 0, 1, 1, 4, 2, 3, 0, 3, 0, 1, 0, 4, 3, 0, 2, 3, 0, 1, 2, 3, 0, 4, 2, 1, 3, 2, 2, 1, 2, 2, 1, 4, 3, 0, 4, 4, 4, 3, 4, 4, 0, 2, 1, 4, 3, 3, 2, 4, 3, 0, 1, 1, 4, 3, 3, 0, 3, 0, 4, 1, 1, 4, 2, 2, 2, 1, 1, 2, 0, 0, 4, 3, 2, 4, 3, 4, 0, 2, 4, 4, 1, 4, 2, 3, 2, 3, 4, 4, 0, 4, 3, 3, 3, 4, 4, 2, 3, 3, 0, 1, 0, 4, 2, 2, 1, 4, 3, 2, 0, 0, 2, 3, 0, 4, 0, 1, 4, 4, 0, 0, 4, 1, 2, 2, 4, 4, 2, 2, 2, 0, 3, 0, 2, 3, 1, 4, 1, 1, 2, 2, 4, 2, 2, 4, 1, 1, 1, 2, 3, 0, 1, 3, 2, 0, 3, 0, 2, 2, 3, 1, 0, 1, 3, 2, 0, 3, 3, 0, 1, 3, 4, 4, 4, 4, 2, 2, 2, 0, 4, 3, 4, 3, 2, 3, 4, 2, 2, 4, 3, 4, 0, 1, 4, 0, 3, 4, 3, 3, 3, 3, 1, 4, 4, 3, 1, 4, 4, 2, 4, 3, 3, 0, 3, 1, 3, 3, 2, 1, 3, 1, 4, 4, 3, 0, 4, 3, 1, 2, 1, 1, 0, 4, 1, 3, 4, 3, 1, 4, 2, 1, 1, 0, 0, 4, 4, 0, 3, 2, 1, 4, 2, 0, 1, 1, 4, 0, 1, 2, 2, 0, 4, 3, 1, 0, 2, 3, 2, 2, 4, 4, 4, 0, 0, 1, 2, 2, 4, 1, 4, 2, 1, 0, 4, 3, 4, 2, 1, 2, 1, 4, 3, 2, 1, 4, 0, 1, 3, 1, 4, 2, 0, 0, 1, 0, 3, 2, 0, 4, 3, 1, 4, 0, 1, 3, 4, 0, 0, 3, 0, 1, 0, 1, 0, 1, 3, 4, 1, 1, 1, 2, 3, 4, 3, 2, 3, 3, 2, 4, 3, 1, 3, 0, 2, 4, 4, 0, 3, 4, 0, 2, 4, 1, 1, 1, 3, 2, 1, 4, 2]
pubkeycol1409 = [0, 4, 1, 0, 4, 2, 3, 3, 3, 1, 4, 4, 1, 4, 3, 4, 2, 4, 2, 1, 1, 0, 4, 4, 4, 3, 4, 4, 1, 2, 4, 0, 0, 3, 0, 4, 4, 2, 2, 1, 2, 3, 1, 3, 0, 3, 3, 0, 4, 0, 2, 4, 2, 1, 1, 4, 0, 1, 3, 1, 1, 0, 1, 4, 1, 1, 2, 2, 3, 2, 3, 3, 2, 3, 1, 2, 1, 4, 0, 3, 4, 1, 4, 1, 3, 0, 0, 2, 1, 0, 0, 3, 2, 1, 3, 2, 1, 2, 3, 4, 4, 2, 4, 3, 1, 4, 4, 1, 3, 3, 1, 3, 0, 3, 0, 1, 1, 3, 1, 2, 2, 4, 0, 0, 0, 3, 1, 2, 4, 0, 0, 1, 3, 2, 4, 2, 2, 3, 1, 2, 3, 3, 2, 4, 2, 4, 0, 2, 2, 1, 2, 2, 2, 1, 4, 2, 0, 1, 2, 2, 4, 0, 2, 3, 4, 0, 0, 2, 0, 4, 1, 3, 1, 4, 0, 2, 4, 0, 0, 2, 0, 3, 4, 4, 2, 2, 1, 2, 0, 2, 1, 1, 1, 4, 4, 2, 3, 3, 2, 1, 2, 2, 4, 2, 1, 1, 4, 2, 2, 4, 2, 3, 2, 1, 1, 1, 4, 4, 3, 0, 2, 4, 1, 2, 4, 2, 3, 0, 0, 4, 3, 2, 2, 0, 1, 1, 4, 4, 2, 4, 2, 1, 1, 2, 1, 1, 2, 4, 2, 1, 3, 3, 1, 2, 3, 0, 1, 1, 3, 1, 2, 3, 1, 4, 4, 4, 3, 0, 1, 4, 1, 0, 2, 3, 4, 2, 2, 2, 4, 0, 0, 2, 0, 3, 3, 3, 0, 2, 2, 1, 2, 2, 3, 1, 3, 1, 2, 0, 3, 2, 0, 4, 1, 2, 4, 1, 4, 4, 2, 0, 0, 4, 4, 4, 0, 2, 4, 0, 1, 0, 1, 3, 0, 1, 2, 2, 3, 0, 4, 3, 3, 1, 0, 2, 0, 3, 0, 4, 0, 3, 4, 1, 4, 4, 1, 0, 2, 1, 2, 0, 1, 0, 2, 3, 4, 3, 2, 0, 1, 1, 0, 1, 2, 1, 4, 1, 2, 4, 4, 3, 1, 2, 3, 3, 1, 2, 4, 0, 4, 4, 0, 2, 4, 0, 4, 0, 3, 2, 1, 3, 3, 2, 2, 3, 4, 1, 1, 3, 3, 1]
pubkeycol1410 = [4, 4, 3, 0, 0, 0, 1, 1, 3, 1, 1, 2, 3, 4, 0, 4, 3, 4, 0, 1, 0, 0, 3, 1, 1, 4, 0, 3, 2, 3, 4, 2, 4, 0, 4, 1, 1, 2, 4, 2, 2, 4, 3, 1, 4, 4, 2, 1, 4, 2, 1, 4, 4, 3, 4, 3, 2, 2, 1, 1, 2, 3, 0, 4, 4, 1, 2, 3, 1, 3, 3, 0, 3, 2, 1, 2, 3, 3, 3, 1, 2, 4, 1, 1, 1, 4, 1, 2, 3, 0, 1, 3, 4, 0, 1, 2, 4, 1, 2, 3, 3, 1, 1, 1, 2, 0, 3, 0, 1, 2, 1, 4, 4, 0, 0, 4, 3, 3, 1, 3, 3, 3, 3, 0, 3, 0, 2, 0, 1, 3, 4, 1, 0, 1, 4, 3, 2, 3, 1, 2, 4, 3, 2, 4, 0, 3, 2, 2, 1, 3, 2, 1, 0, 3, 2, 2, 1, 2, 4, 3, 0, 2, 2, 2, 2, 1, 3, 4, 4, 2, 1, 0, 0, 3, 2, 2, 2, 3, 0, 4, 3, 0, 4, 1, 3, 3, 2, 1, 0, 1, 0, 0, 2, 4, 3, 4, 4, 3, 2, 2, 3, 3, 2, 3, 4, 0, 1, 2, 2, 4, 4, 2, 2, 4, 2, 0, 2, 1, 4, 3, 3, 4, 3, 1, 2, 2, 3, 4, 3, 4, 3, 2, 0, 0, 0, 1, 2, 0, 2, 1, 4, 0, 2, 0, 2, 3, 3, 2, 2, 1, 1, 3, 1, 3, 3, 3, 1, 4, 2, 0, 2, 2, 3, 4, 4, 2, 4, 4, 0, 2, 4, 0, 0, 3, 0, 2, 2, 2, 1, 3, 0, 3, 1, 2, 4, 4, 2, 4, 3, 2, 2, 0, 3, 0, 3, 0, 0, 3, 1, 1, 1, 3, 1, 4, 1, 3, 3, 1, 0, 3, 2, 3, 2, 0, 1, 4, 0, 4, 1, 2, 1, 3, 4, 2, 3, 2, 0, 2, 3, 0, 1, 2, 1, 2, 1, 3, 1, 4, 4, 2, 2, 2, 1, 4, 0, 1, 4, 1, 3, 1, 2, 4, 1, 3, 1, 0, 1, 3, 0, 0, 1, 3, 1, 3, 3, 3, 2, 0, 4, 1, 4, 4, 0, 3, 1, 4, 1, 0, 2, 0, 1, 0, 4, 2, 4, 4, 3, 1, 0, 0, 1, 4, 4, 2, 0, 4, 0, 1, 0, 4]
pubkeycol1411 = [4, 4, 3, 0, 3, 2, 1, 4, 0, 0, 1, 2, 4, 4, 1, 1, 2, 4, 2, 1, 2, 1, 4, 4, 2, 3, 2, 3, 2, 2, 4, 4, 0, 0, 4, 1, 0, 0, 4, 3, 2, 0, 2, 4, 0, 3, 1, 1, 4, 4, 3, 4, 4, 0, 0, 3, 0, 2, 4, 1, 4, 3, 0, 0, 4, 0, 1, 3, 4, 2, 1, 3, 2, 2, 4, 3, 0, 1, 4, 2, 4, 3, 4, 0, 0, 4, 0, 0, 0, 2, 4, 1, 1, 4, 1, 4, 2, 0, 3, 1, 4, 2, 4, 1, 2, 0, 4, 1, 2, 0, 1, 4, 3, 3, 1, 1, 2, 4, 2, 4, 2, 3, 3, 4, 1, 0, 4, 0, 4, 4, 4, 0, 1, 4, 1, 4, 1, 3, 2, 2, 2, 0, 3, 2, 0, 0, 4, 0, 4, 0, 3, 2, 3, 2, 4, 3, 1, 0, 0, 4, 3, 4, 3, 1, 3, 1, 2, 2, 4, 2, 3, 4, 4, 4, 4, 4, 2, 1, 3, 2, 4, 0, 4, 0, 1, 4, 3, 2, 2, 4, 4, 4, 3, 4, 1, 3, 0, 0, 2, 1, 2, 3, 1, 1, 3, 2, 4, 3, 1, 4, 1, 3, 1, 0, 2, 3, 4, 1, 0, 1, 0, 4, 4, 3, 0, 1, 3, 2, 4, 1, 4, 2, 3, 4, 4, 2, 1, 4, 3, 4, 1, 0, 2, 3, 3, 2, 2, 2, 3, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 2, 0, 0, 1, 3, 3, 4, 0, 1, 1, 3, 2, 4, 1, 1, 2, 2, 2, 1, 1, 0, 2, 4, 2, 1, 2, 4, 3, 2, 0, 3, 3, 3, 0, 0, 3, 3, 4, 3, 2, 2, 1, 1, 1, 2, 4, 3, 1, 0, 3, 2, 1, 2, 3, 3, 4, 2, 4, 4, 3, 1, 0, 4, 3, 3, 2, 0, 1, 3, 0, 0, 1, 4, 4, 3, 1, 3, 3, 4, 1, 3, 3, 4, 1, 2, 2, 3, 0, 2, 4, 3, 4, 4, 2, 0, 4, 0, 1, 4, 3, 3, 3, 3, 0, 0, 0, 4, 1, 3, 2, 2, 4, 4, 2, 1, 1, 2, 4, 4, 1, 3, 0, 4, 4, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 3, 1, 4, 0]
pubkeycol1412 = [1, 1, 2, 4, 0, 0, 2, 0, 2, 1, 4, 4, 0, 1, 2, 3, 1, 1, 2, 4, 4, 2, 3, 0, 3, 2, 0, 2, 3, 3, 2, 2, 0, 0, 2, 0, 3, 2, 4, 4, 1, 3, 4, 1, 4, 1, 2, 4, 4, 3, 3, 1, 1, 1, 2, 0, 0, 1, 0, 3, 0, 4, 1, 4, 4, 1, 0, 2, 4, 4, 1, 3, 3, 4, 2, 0, 3, 3, 1, 3, 4, 4, 3, 1, 2, 3, 3, 4, 2, 4, 2, 1, 0, 1, 1, 2, 0, 4, 3, 3, 0, 2, 3, 3, 3, 0, 3, 3, 4, 2, 0, 1, 4, 0, 1, 4, 3, 1, 2, 1, 4, 2, 1, 1, 2, 0, 1, 4, 4, 2, 1, 4, 0, 1, 1, 0, 0, 4, 4, 1, 0, 2, 1, 0, 1, 2, 1, 1, 3, 1, 1, 3, 1, 4, 1, 4, 2, 4, 4, 2, 0, 0, 1, 3, 0, 1, 3, 3, 4, 1, 3, 1, 1, 1, 1, 4, 2, 0, 0, 3, 2, 2, 0, 1, 4, 0, 0, 3, 0, 1, 3, 4, 3, 0, 0, 0, 4, 2, 2, 3, 2, 3, 1, 1, 2, 4, 4, 2, 4, 0, 0, 2, 3, 0, 0, 2, 0, 0, 2, 3, 4, 2, 1, 2, 2, 1, 2, 4, 4, 4, 2, 0, 2, 4, 1, 4, 2, 3, 0, 4, 4, 1, 4, 3, 4, 3, 4, 4, 2, 2, 4, 0, 1, 4, 4, 4, 2, 1, 1, 3, 4, 4, 0, 4, 3, 2, 4, 4, 0, 4, 3, 4, 1, 0, 0, 4, 4, 0, 2, 1, 0, 4, 0, 1, 4, 2, 4, 0, 3, 3, 1, 1, 4, 2, 3, 0, 4, 1, 4, 0, 4, 3, 1, 0, 4, 2, 4, 2, 0, 1, 0, 2, 3, 2, 1, 3, 2, 1, 3, 4, 2, 1, 4, 4, 2, 0, 3, 2, 4, 3, 1, 3, 3, 3, 3, 0, 3, 2, 0, 4, 1, 1, 2, 1, 1, 4, 3, 4, 2, 3, 2, 2, 4, 2, 1, 3, 0, 2, 4, 1, 0, 4, 0, 3, 4, 4, 2, 1, 1, 4, 4, 4, 2, 2, 0, 0, 0, 0, 0, 0, 1, 3, 4, 1, 3, 0, 0, 3, 1, 0, 2, 3, 3, 2, 2, 0, 3, 4, 2, 2]
pubkeycol1413 = [1, 4, 2, 3, 3, 3, 0, 2, 1, 0, 4, 1, 4, 2, 0, 2, 0, 3, 4, 3, 0, 2, 4, 4, 4, 2, 0, 3, 4, 0, 2, 3, 4, 2, 1, 4, 1, 2, 4, 4, 1, 3, 4, 0, 3, 1, 4, 0, 2, 1, 3, 0, 3, 3, 3, 2, 3, 3, 0, 0, 1, 3, 1, 3, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 3, 3, 3, 1, 0, 4, 3, 3, 3, 1, 4, 4, 0, 0, 0, 1, 4, 1, 2, 0, 2, 4, 2, 2, 4, 4, 4, 4, 3, 4, 3, 2, 0, 2, 4, 4, 4, 4, 0, 0, 1, 1, 1, 4, 4, 0, 4, 4, 2, 2, 1, 3, 1, 3, 3, 3, 2, 3, 0, 4, 1, 1, 3, 3, 1, 4, 4, 0, 2, 0, 3, 0, 0, 3, 0, 2, 1, 3, 1, 0, 3, 0, 1, 3, 0, 3, 0, 2, 4, 3, 4, 3, 0, 1, 0, 3, 4, 2, 0, 4, 0, 0, 4, 4, 3, 0, 4, 0, 4, 4, 4, 3, 2, 4, 4, 3, 3, 1, 0, 0, 3, 1, 1, 3, 4, 3, 4, 1, 0, 4, 1, 1, 2, 4, 2, 1, 4, 4, 2, 1, 1, 3, 4, 3, 2, 0, 0, 1, 4, 3, 4, 3, 3, 0, 2, 1, 3, 4, 2, 1, 4, 1, 4, 1, 2, 0, 2, 0, 0, 4, 3, 4, 1, 0, 3, 2, 2, 1, 1, 3, 4, 0, 2, 4, 3, 1, 3, 3, 0, 0, 1, 4, 1, 1, 0, 4, 4, 3, 1, 2, 0, 2, 2, 2, 1, 3, 2, 1, 1, 0, 2, 1, 1, 2, 2, 4, 3, 0, 3, 4, 4, 0, 1, 3, 0, 2, 1, 1, 4, 3, 4, 3, 4, 2, 3, 4, 2, 0, 1, 1, 1, 2, 3, 2, 4, 0, 3, 1, 1, 0, 4, 3, 4, 4, 2, 0, 3, 3, 0, 1, 3, 0, 1, 3, 0, 3, 1, 0, 0, 0, 0, 4, 1, 3, 2, 0, 3, 3, 0, 1, 1, 3, 1, 1, 4, 3, 3, 2, 4, 1, 1, 3, 1, 0, 4, 3, 3, 4, 0, 0, 2, 0, 4, 3, 4, 1, 2, 3, 2, 2, 1, 1, 0, 0, 3, 2, 0, 1, 1, 2, 0, 4, 0]
pubkeycol1414 = [0, 3, 1, 1, 0, 2, 0, 4, 4, 4, 0, 1, 0, 0, 4, 0, 0, 1, 2, 3, 4, 2, 0, 2, 4, 3, 4, 2, 0, 0, 3, 1, 0, 4, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 4, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4, 4, 0, 3, 2, 1, 3, 0, 3, 4, 2, 4, 2, 1, 3, 3, 4, 3, 0, 4, 4, 1, 0, 2, 0, 0, 4, 3, 3, 2, 1, 4, 2, 2, 4, 2, 2, 4, 0, 1, 0, 2, 1, 2, 0, 4, 1, 2, 0, 0, 4, 1, 1, 1, 3, 1, 2, 1, 0, 3, 0, 1, 1, 3, 2, 4, 2, 0, 0, 1, 0, 4, 2, 0, 3, 2, 3, 2, 1, 3, 2, 1, 1, 4, 3, 3, 1, 2, 3, 2, 3, 0, 0, 3, 3, 4, 2, 1, 3, 2, 2, 1, 0, 2, 3, 1, 4, 3, 3, 1, 0, 1, 2, 3, 3, 0, 0, 2, 1, 2, 2, 3, 3, 3, 3, 0, 3, 4, 3, 2, 1, 2, 3, 3, 1, 0, 0, 3, 3, 1, 1, 2, 4, 1, 2, 3, 2, 4, 3, 0, 2, 3, 4, 2, 1, 4, 3, 3, 3, 3, 2, 3, 3, 4, 1, 0, 1, 1, 3, 2, 1, 2, 4, 2, 2, 0, 3, 0, 1, 3, 3, 0, 3, 4, 0, 4, 2, 2, 3, 3, 2, 2, 1, 3, 2, 0, 2, 1, 2, 4, 1, 1, 1, 0, 4, 0, 4, 0, 3, 3, 2, 2, 1, 0, 3, 1, 3, 1, 1, 3, 4, 4, 0, 0, 1, 2, 1, 1, 4, 1, 2, 0, 3, 0, 4, 2, 3, 2, 0, 2, 4, 2, 2, 1, 2, 2, 1, 4, 0, 2, 1, 3, 2, 4, 4, 0, 4, 0, 3, 3, 3, 3, 1, 4, 4, 0, 1, 0, 3, 0, 0, 0, 4, 2, 4, 0, 2, 1, 3, 0, 3, 2, 2, 2, 4, 0, 0, 2, 0, 2, 2, 4, 0, 2, 3, 3, 4, 3, 4, 2, 4, 4, 4, 0, 2, 3, 3, 2, 1, 2, 4, 0, 1, 4, 4, 0, 3, 4, 3, 4, 2, 4, 3, 0, 3, 2, 1, 2, 2, 3, 4, 1, 1, 1, 3, 3, 4, 2, 3, 3, 4]
pubkeycol1415 = [0, 4, 1, 3, 4, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 1, 3, 2, 2, 1, 4, 3, 1, 3, 4, 1, 0, 2, 4, 1, 3, 2, 4, 0, 1, 4, 4, 4, 2, 2, 4, 3, 3, 4, 1, 0, 2, 4, 1, 2, 1, 4, 1, 4, 0, 0, 0, 0, 3, 4, 2, 4, 4, 0, 2, 0, 1, 2, 3, 1, 0, 1, 3, 4, 2, 2, 1, 2, 3, 0, 4, 1, 0, 2, 0, 2, 4, 2, 3, 3, 4, 4, 1, 1, 0, 2, 0, 1, 3, 2, 0, 2, 4, 4, 2, 1, 1, 2, 2, 0, 3, 0, 0, 2, 1, 4, 4, 0, 0, 4, 2, 0, 0, 1, 4, 0, 3, 3, 0, 1, 0, 4, 4, 3, 2, 1, 3, 4, 2, 3, 4, 0, 4, 3, 2, 4, 2, 4, 3, 4, 4, 1, 1, 1, 1, 2, 0, 4, 1, 1, 3, 2, 3, 2, 0, 3, 4, 0, 3, 2, 0, 2, 0, 2, 3, 0, 1, 3, 0, 1, 1, 0, 2, 4, 0, 3, 0, 0, 4, 1, 0, 2, 4, 2, 3, 2, 3, 4, 2, 2, 3, 0, 3, 0, 1, 1, 3, 1, 4, 0, 4, 0, 1, 0, 3, 2, 1, 2, 4, 1, 0, 1, 0, 1, 0, 1, 3, 4, 2, 3, 1, 0, 3, 3, 2, 4, 4, 4, 3, 1, 3, 3, 4, 3, 2, 4, 1, 3, 0, 2, 0, 3, 0, 1, 4, 2, 1, 2, 2, 2, 3, 1, 3, 2, 2, 4, 2, 4, 4, 2, 0, 2, 2, 4, 1, 2, 4, 1, 1, 0, 2, 4, 2, 2, 1, 2, 3, 2, 0, 0, 3, 4, 0, 0, 2, 1, 1, 3, 0, 2, 0, 3, 2, 0, 1, 4, 2, 4, 0, 2, 2, 0, 3, 4, 0, 3, 0, 3, 3, 0, 0, 2, 4, 0, 3, 0, 3, 4, 4, 2, 1, 2, 4, 2, 4, 1, 0, 4, 3, 0, 0, 4, 2, 4, 2, 0, 3, 1, 0, 2, 2, 3, 2, 4, 2, 1, 1, 4, 0, 2, 3, 1, 2, 1, 2, 0, 4, 4, 4, 0, 1, 1, 2, 3, 2, 0, 3, 1, 4, 2, 1, 0, 3, 3, 2, 2, 1, 3, 4, 2, 2, 0, 3, 2, 3, 4, 3, 4, 0, 0]
pubkeycol1416 = [0, 4, 0, 1, 1, 3, 2, 3, 0, 1, 0, 3, 3, 2, 1, 4, 3, 1, 4, 3, 1, 4, 4, 1, 3, 3, 2, 3, 3, 3, 0, 1, 4, 4, 4, 3, 2, 2, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 4, 1, 0, 4, 4, 0, 0, 0, 1, 3, 3, 3, 1, 0, 2, 1, 2, 4, 0, 4, 0, 4, 1, 3, 3, 2, 0, 1, 2, 4, 2, 3, 3, 3, 2, 2, 0, 1, 0, 1, 2, 1, 4, 4, 2, 4, 1, 3, 3, 4, 1, 2, 4, 1, 2, 4, 4, 3, 1, 0, 3, 3, 2, 0, 1, 4, 1, 3, 3, 3, 3, 0, 2, 3, 2, 2, 3, 4, 1, 0, 3, 2, 1, 0, 4, 2, 3, 1, 0, 3, 2, 3, 1, 3, 1, 4, 3, 0, 0, 1, 1, 4, 0, 0, 3, 1, 1, 2, 4, 0, 0, 2, 3, 0, 0, 2, 2, 3, 4, 0, 0, 3, 3, 4, 4, 3, 0, 4, 2, 0, 1, 1, 4, 3, 1, 0, 1, 4, 4, 2, 2, 2, 1, 3, 3, 0, 3, 0, 4, 0, 2, 2, 3, 3, 0, 3, 0, 2, 0, 2, 1, 0, 4, 3, 4, 4, 1, 2, 3, 4, 3, 2, 4, 4, 2, 1, 0, 2, 2, 4, 3, 2, 4, 4, 3, 2, 1, 2, 2, 1, 0, 0, 2, 3, 0, 2, 3, 1, 3, 2, 0, 0, 0, 1, 3, 4, 3, 0, 0, 1, 0, 1, 2, 2, 0, 3, 3, 2, 3, 2, 2, 1, 0, 1, 1, 0, 1, 4, 0, 2, 1, 1, 4, 1, 0, 1, 0, 4, 3, 1, 4, 1, 0, 4, 1, 3, 4, 4, 0, 3, 2, 1, 0, 4, 0, 2, 0, 3, 3, 1, 3, 2, 4, 1, 3, 4, 3, 2, 2, 1, 0, 1, 4, 2, 4, 2, 3, 1, 4, 0, 2, 1, 2, 1, 3, 1, 1, 4, 3, 1, 4, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 4, 0, 2, 4, 0, 2, 1, 3, 0, 2, 0, 4, 0, 4, 0, 3, 2, 0, 0, 0, 1, 0, 1, 1, 2, 3, 1, 0, 1, 3, 1, 1, 1, 3, 0, 0, 2, 0, 0, 3, 0, 1, 0, 0, 2, 2, 2, 0, 3, 3]
pubkeycol1417 = [0, 1, 4, 3, 3, 1, 4, 2, 4, 4, 1, 0, 0, 2, 0, 4, 4, 1, 4, 3, 1, 2, 1, 3, 4, 2, 4, 3, 0, 3, 2, 4, 4, 0, 4, 4, 4, 1, 2, 0, 2, 4, 2, 1, 4, 0, 2, 3, 2, 3, 1, 0, 1, 2, 1, 4, 2, 2, 3, 2, 3, 4, 4, 1, 0, 2, 4, 4, 2, 0, 3, 3, 2, 0, 3, 4, 2, 0, 4, 0, 0, 2, 3, 2, 2, 3, 3, 1, 2, 2, 4, 2, 1, 0, 3, 1, 1, 0, 4, 0, 2, 4, 1, 4, 2, 3, 2, 4, 3, 1, 2, 1, 3, 4, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 4, 3, 2, 0, 4, 3, 3, 4, 0, 0, 4, 0, 4, 4, 1, 3, 4, 1, 2, 1, 4, 0, 1, 2, 0, 4, 2, 0, 4, 3, 4, 1, 3, 0, 4, 0, 4, 1, 0, 3, 1, 3, 3, 2, 1, 4, 4, 0, 0, 4, 3, 1, 1, 2, 0, 0, 2, 4, 0, 4, 1, 1, 0, 2, 2, 4, 1, 1, 4, 0, 3, 0, 0, 3, 0, 3, 3, 4, 4, 3, 0, 4, 4, 1, 2, 0, 0, 3, 3, 3, 0, 3, 1, 2, 1, 0, 3, 2, 3, 1, 0, 0, 0, 1, 4, 0, 4, 2, 2, 0, 2, 0, 3, 4, 2, 0, 4, 2, 4, 2, 1, 0, 0, 3, 2, 3, 0, 4, 0, 4, 2, 4, 1, 4, 2, 0, 1, 1, 1, 3, 0, 3, 1, 4, 0, 2, 3, 0, 0, 0, 4, 4, 4, 4, 3, 0, 1, 0, 1, 4, 1, 4, 3, 3, 2, 4, 0, 1, 0, 4, 1, 0, 0, 4, 0, 2, 1, 2, 3, 2, 3, 4, 3, 4, 1, 4, 3, 1, 0, 4, 4, 2, 2, 1, 4, 1, 4, 1, 2, 2, 2, 4, 4, 0, 0, 2, 3, 4, 0, 1, 4, 0, 4, 3, 2, 2, 4, 3, 1, 3, 0, 3, 0, 4, 4, 0, 1, 4, 3, 4, 1, 4, 1, 1, 2, 3, 0, 4, 0, 4, 0, 0, 3, 2, 4, 4, 2, 0, 3, 0, 3, 2, 4, 4, 2, 4, 2, 3, 4, 0, 2, 3, 0, 0, 0, 3, 0, 1, 0, 3, 4, 4, 1, 4, 2, 4]
pubkeycol1418 = [0, 4, 2, 1, 3, 3, 1, 3, 3, 1, 4, 3, 1, 0, 3, 3, 2, 4, 3, 0, 0, 4, 4, 1, 2, 2, 1, 4, 1, 3, 1, 0, 1, 3, 2, 3, 1, 2, 1, 0, 3, 2, 1, 4, 1, 3, 3, 4, 3, 3, 3, 3, 0, 1, 1, 2, 4, 2, 0, 4, 1, 0, 3, 0, 2, 1, 1, 1, 1, 3, 1, 4, 3, 2, 4, 4, 3, 1, 2, 3, 3, 0, 1, 2, 3, 0, 4, 0, 0, 3, 1, 2, 1, 2, 1, 0, 4, 4, 3, 1, 0, 0, 1, 4, 2, 4, 3, 4, 1, 4, 1, 4, 3, 4, 0, 2, 4, 1, 2, 2, 0, 4, 4, 1, 0, 4, 1, 4, 3, 2, 1, 4, 2, 1, 0, 3, 4, 0, 0, 4, 3, 4, 2, 2, 0, 4, 1, 2, 2, 2, 3, 0, 4, 4, 4, 0, 4, 1, 0, 1, 4, 0, 2, 4, 3, 3, 1, 0, 3, 3, 2, 0, 1, 3, 2, 3, 1, 4, 4, 4, 3, 2, 1, 4, 1, 4, 1, 3, 2, 4, 4, 2, 1, 1, 1, 3, 2, 2, 0, 2, 3, 1, 0, 3, 1, 4, 2, 1, 3, 2, 0, 1, 3, 0, 0, 0, 4, 1, 4, 2, 0, 0, 4, 2, 1, 3, 0, 0, 4, 1, 1, 0, 0, 3, 4, 3, 3, 0, 3, 3, 3, 1, 1, 3, 1, 3, 2, 1, 3, 1, 4, 1, 1, 2, 1, 0, 2, 3, 4, 3, 1, 1, 1, 0, 4, 1, 0, 2, 0, 2, 0, 2, 0, 3, 0, 1, 1, 0, 0, 0, 1, 0, 2, 3, 1, 3, 4, 4, 3, 2, 3, 3, 2, 0, 1, 1, 2, 2, 0, 3, 3, 0, 0, 3, 3, 3, 4, 1, 0, 4, 3, 2, 2, 4, 2, 1, 3, 2, 0, 2, 4, 3, 3, 2, 3, 4, 1, 1, 1, 3, 0, 1, 0, 0, 4, 2, 3, 4, 0, 4, 0, 4, 2, 2, 1, 3, 3, 2, 0, 0, 1, 2, 4, 4, 3, 1, 1, 3, 2, 2, 2, 0, 4, 3, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 2, 0, 4, 3, 0, 1, 2, 3, 3, 3, 1, 2, 1, 4, 3, 1, 4, 1, 4, 4, 4, 2, 2, 4, 4]
pubkeycol1419 = [2, 2, 3, 4, 1, 1, 4, 2, 2, 4, 0, 4, 0, 2, 1, 2, 1, 2, 3, 3, 4, 3, 3, 4, 4, 4, 0, 4, 0, 1, 2, 4, 4, 3, 0, 3, 2, 2, 3, 4, 4, 1, 1, 1, 1, 3, 4, 0, 4, 4, 0, 2, 3, 2, 4, 3, 1, 2, 3, 1, 4, 2, 2, 1, 2, 2, 3, 2, 4, 4, 1, 3, 1, 4, 0, 4, 2, 4, 0, 4, 2, 2, 0, 4, 1, 0, 3, 3, 3, 2, 0, 4, 1, 4, 1, 3, 2, 2, 3, 4, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 3, 1, 3, 0, 1, 2, 1, 1, 4, 3, 0, 4, 1, 0, 0, 3, 3, 0, 4, 2, 1, 3, 2, 3, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 4, 4, 2, 4, 0, 3, 3, 1, 1, 0, 0, 2, 4, 2, 0, 3, 3, 2, 2, 2, 0, 0, 2, 2, 1, 3, 1, 3, 2, 0, 0, 0, 2, 2, 1, 3, 4, 4, 1, 2, 1, 1, 0, 1, 2, 1, 1, 3, 2, 1, 4, 0, 1, 1, 0, 3, 4, 3, 3, 3, 1, 2, 4, 0, 4, 2, 2, 0, 0, 3, 3, 3, 2, 3, 0, 3, 1, 1, 0, 2, 2, 4, 3, 1, 3, 3, 3, 0, 1, 4, 3, 3, 3, 2, 4, 2, 3, 0, 1, 0, 0, 0, 3, 4, 1, 2, 1, 2, 1, 3, 0, 3, 2, 3, 2, 1, 2, 3, 1, 1, 0, 0, 2, 2, 4, 0, 2, 2, 3, 3, 4, 2, 2, 3, 4, 3, 0, 2, 0, 1, 2, 0, 1, 3, 3, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 3, 1, 1, 0, 1, 3, 3, 2, 2, 2, 4, 0, 1, 4, 2, 0, 0, 3, 1, 2, 1, 2, 0, 2, 2, 0, 1, 4, 4, 1, 1, 2, 1, 1, 2, 3, 3, 2, 1, 3, 0, 0, 1, 4, 0, 2, 4, 1, 0, 0, 1, 1, 0, 4, 4, 1, 2, 2, 1, 1, 3, 2, 0, 4, 1, 4, 3, 2, 3, 3, 4, 1, 4, 1, 4, 2, 0, 0, 0, 4, 0, 4, 3, 1, 2, 4, 3, 2, 3, 4, 2, 2, 0, 3, 0, 0, 1]
pubkeycol1420 = [3, 2, 3, 0, 3, 0, 4, 4, 1, 4, 1, 0, 4, 2, 4, 3, 4, 3, 1, 0, 2, 2, 0, 0, 3, 0, 1, 2, 4, 0, 1, 0, 3, 1, 2, 0, 4, 3, 4, 1, 1, 2, 0, 1, 0, 2, 3, 1, 3, 3, 1, 4, 3, 2, 2, 3, 0, 4, 2, 3, 4, 1, 3, 1, 0, 4, 0, 0, 3, 0, 0, 0, 3, 3, 1, 4, 0, 3, 3, 1, 3, 2, 1, 2, 0, 1, 4, 0, 3, 4, 3, 0, 0, 4, 3, 4, 0, 0, 2, 3, 0, 1, 2, 1, 0, 3, 1, 4, 0, 1, 1, 3, 3, 3, 3, 0, 3, 4, 0, 4, 0, 0, 0, 1, 3, 0, 4, 2, 4, 2, 0, 1, 0, 3, 1, 1, 0, 1, 3, 0, 0, 2, 4, 0, 2, 2, 0, 3, 4, 3, 4, 0, 2, 2, 4, 0, 2, 2, 4, 3, 1, 1, 0, 0, 3, 0, 0, 4, 1, 3, 0, 1, 4, 4, 0, 1, 0, 0, 3, 4, 4, 1, 3, 4, 0, 3, 2, 3, 1, 3, 3, 4, 2, 1, 4, 1, 4, 1, 0, 2, 4, 2, 0, 1, 0, 3, 4, 2, 4, 1, 3, 0, 4, 4, 4, 4, 3, 4, 0, 3, 2, 1, 3, 3, 2, 3, 1, 4, 4, 3, 1, 1, 3, 4, 4, 0, 1, 1, 3, 4, 2, 1, 3, 1, 2, 0, 3, 1, 2, 3, 2, 0, 2, 1, 4, 3, 3, 4, 4, 0, 1, 4, 1, 2, 1, 0, 1, 4, 2, 0, 1, 4, 1, 1, 4, 0, 1, 4, 0, 2, 3, 4, 4, 1, 3, 4, 0, 3, 0, 3, 4, 3, 0, 2, 1, 3, 3, 0, 2, 4, 3, 1, 4, 0, 3, 4, 2, 2, 0, 4, 1, 4, 1, 4, 3, 4, 1, 2, 0, 2, 2, 4, 2, 3, 4, 3, 4, 4, 2, 2, 3, 2, 0, 4, 1, 3, 4, 1, 0, 1, 2, 3, 2, 2, 2, 2, 1, 0, 4, 4, 1, 3, 4, 0, 0, 0, 3, 1, 4, 1, 2, 1, 0, 0, 2, 4, 0, 1, 3, 1, 3, 4, 3, 3, 1, 0, 3, 4, 1, 2, 2, 1, 3, 4, 1, 4, 1, 2, 2, 0, 4, 2, 2, 1, 3, 0, 1, 0, 2, 4]
pubkeycol1421 = [2, 2, 4, 3, 1, 1, 3, 0, 2, 3, 4, 3, 4, 2, 0, 2, 4, 2, 2, 0, 2, 2, 3, 2, 0, 0, 0, 3, 0, 2, 4, 1, 4, 4, 1, 0, 4, 3, 0, 0, 1, 0, 1, 4, 0, 2, 3, 1, 4, 2, 2, 0, 4, 3, 0, 0, 0, 3, 4, 4, 4, 1, 0, 3, 1, 3, 3, 4, 4, 0, 3, 2, 0, 2, 3, 1, 2, 1, 3, 3, 3, 3, 3, 4, 2, 3, 0, 4, 1, 4, 2, 3, 3, 2, 3, 2, 1, 3, 3, 4, 4, 0, 2, 0, 4, 0, 2, 4, 3, 1, 3, 3, 1, 3, 3, 2, 3, 4, 0, 1, 2, 0, 1, 4, 3, 0, 2, 4, 2, 3, 1, 3, 0, 0, 0, 1, 0, 2, 2, 2, 3, 3, 4, 2, 2, 4, 4, 2, 1, 2, 1, 0, 4, 4, 2, 0, 1, 2, 2, 4, 4, 3, 0, 3, 4, 2, 0, 3, 1, 1, 4, 2, 3, 0, 4, 2, 3, 3, 0, 3, 1, 3, 3, 3, 3, 1, 0, 0, 2, 3, 2, 3, 1, 4, 0, 3, 2, 0, 4, 0, 0, 3, 0, 1, 3, 2, 3, 3, 0, 4, 4, 2, 4, 2, 2, 3, 2, 4, 4, 0, 1, 4, 1, 1, 4, 1, 4, 0, 1, 2, 2, 1, 0, 0, 1, 2, 4, 0, 4, 0, 1, 0, 4, 3, 2, 2, 3, 1, 0, 1, 1, 3, 2, 2, 4, 4, 1, 1, 1, 3, 1, 0, 0, 0, 2, 0, 4, 3, 4, 3, 4, 3, 0, 1, 0, 1, 1, 3, 4, 4, 4, 0, 2, 0, 0, 1, 4, 1, 3, 0, 2, 2, 0, 4, 3, 0, 4, 0, 3, 2, 1, 1, 0, 4, 1, 0, 1, 3, 2, 0, 4, 1, 0, 2, 0, 0, 2, 1, 4, 0, 0, 4, 1, 4, 1, 3, 2, 1, 3, 2, 4, 3, 4, 1, 3, 1, 4, 2, 4, 0, 2, 0, 0, 0, 4, 4, 3, 4, 2, 2, 3, 4, 2, 4, 3, 4, 4, 2, 4, 3, 1, 0, 0, 2, 4, 4, 4, 2, 1, 4, 3, 1, 4, 0, 1, 2, 2, 3, 4, 2, 4, 2, 2, 3, 0, 3, 2, 1, 2, 3, 2, 1, 4, 0, 3, 2, 1, 2, 2, 3]
pubkeycol1422 = [0, 3, 3, 1, 3, 4, 3, 2, 0, 4, 3, 3, 1, 0, 4, 3, 3, 4, 1, 0, 0, 0, 1, 4, 0, 4, 1, 1, 0, 3, 1, 4, 3, 1, 2, 4, 3, 1, 2, 1, 0, 0, 4, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 4, 3, 0, 0, 4, 4, 3, 0, 4, 1, 2, 1, 0, 1, 1, 3, 3, 0, 3, 1, 2, 3, 4, 3, 0, 1, 2, 3, 1, 1, 4, 3, 2, 2, 3, 2, 1, 0, 3, 2, 0, 0, 0, 3, 2, 3, 1, 1, 4, 3, 0, 0, 4, 4, 3, 1, 4, 2, 2, 3, 3, 1, 0, 0, 4, 3, 1, 4, 2, 2, 2, 4, 3, 1, 0, 3, 2, 1, 1, 3, 3, 2, 4, 4, 1, 2, 3, 2, 4, 2, 4, 3, 0, 2, 2, 0, 1, 2, 1, 1, 0, 4, 1, 1, 0, 4, 2, 1, 2, 4, 3, 2, 3, 4, 0, 4, 2, 3, 1, 3, 3, 4, 4, 0, 0, 1, 2, 3, 0, 2, 1, 2, 3, 0, 1, 3, 4, 1, 2, 2, 3, 1, 1, 1, 3, 1, 2, 1, 3, 0, 0, 3, 2, 3, 0, 2, 3, 4, 2, 1, 3, 1, 1, 3, 3, 3, 0, 2, 0, 1, 4, 1, 0, 4, 3, 3, 2, 0, 4, 1, 1, 2, 3, 2, 3, 0, 0, 2, 1, 4, 2, 4, 4, 3, 1, 4, 4, 1, 0, 3, 4, 0, 4, 3, 2, 1, 2, 4, 4, 0, 4, 2, 2, 3, 2, 2, 3, 1, 4, 3, 3, 3, 2, 4, 3, 1, 2, 1, 4, 2, 1, 1, 3, 4, 1, 1, 1, 3, 0, 2, 4, 2, 4, 1, 2, 4, 4, 2, 0, 4, 1, 0, 1, 4, 0, 4, 0, 4, 3, 2, 4, 3, 2, 1, 4, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 3, 0, 0, 0, 0, 1, 0, 4, 0, 4, 3, 4, 0, 4, 1, 4, 4, 2, 3, 0, 4, 3, 2, 4, 0, 4, 1, 4, 0, 4, 1, 2, 3, 0, 4, 0, 3, 3, 1, 4, 2, 4, 1, 2, 2, 3, 1, 1, 3, 3, 1, 0, 1, 1, 2, 2, 4, 1, 4, 4, 2, 2, 4, 2, 4, 3, 2, 2, 0, 2, 3, 4]
pubkeycol1423 = [2, 2, 2, 1, 2, 0, 2, 2, 0, 3, 3, 4, 1, 1, 3, 2, 4, 2, 3, 1, 1, 4, 1, 3, 0, 2, 3, 0, 0, 0, 2, 4, 0, 4, 2, 0, 2, 2, 0, 2, 4, 4, 3, 3, 3, 1, 0, 2, 4, 0, 2, 0, 0, 4, 2, 3, 1, 4, 1, 4, 1, 4, 3, 4, 0, 0, 4, 1, 3, 1, 3, 4, 2, 2, 1, 0, 3, 0, 2, 2, 1, 1, 1, 4, 3, 3, 2, 0, 4, 0, 2, 4, 0, 2, 0, 4, 0, 2, 2, 2, 3, 2, 3, 0, 2, 0, 1, 4, 1, 1, 3, 1, 0, 0, 1, 3, 3, 4, 0, 1, 0, 4, 4, 1, 1, 1, 4, 3, 1, 1, 0, 3, 4, 0, 2, 4, 0, 1, 0, 4, 3, 3, 0, 4, 1, 1, 4, 4, 2, 4, 2, 2, 4, 1, 4, 2, 4, 4, 2, 1, 0, 2, 1, 0, 2, 1, 3, 3, 3, 3, 1, 3, 4, 1, 3, 1, 3, 0, 1, 1, 1, 0, 2, 1, 4, 4, 1, 2, 1, 1, 1, 0, 3, 4, 3, 3, 0, 0, 4, 4, 1, 2, 2, 3, 3, 2, 2, 0, 0, 4, 4, 3, 1, 0, 1, 4, 1, 1, 3, 1, 3, 1, 0, 3, 3, 3, 2, 0, 4, 2, 4, 0, 4, 0, 0, 1, 1, 3, 4, 3, 2, 2, 0, 1, 3, 3, 1, 3, 0, 2, 0, 4, 3, 1, 1, 1, 1, 2, 3, 2, 4, 2, 4, 1, 1, 2, 0, 3, 4, 0, 3, 4, 0, 1, 2, 3, 3, 3, 2, 2, 0, 3, 4, 3, 1, 4, 1, 3, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 4, 4, 1, 1, 1, 1, 4, 2, 0, 3, 2, 1, 2, 3, 3, 0, 2, 1, 2, 0, 0, 3, 3, 0, 3, 1, 2, 2, 0, 4, 4, 3, 4, 1, 1, 2, 4, 0, 4, 2, 3, 2, 3, 3, 2, 2, 3, 3, 1, 3, 3, 2, 0, 3, 3, 3, 4, 3, 3, 3, 0, 4, 4, 4, 2, 2, 2, 0, 0, 3, 3, 3, 4, 1, 0, 1, 2, 0, 1, 3, 0, 0, 2, 2, 4, 1, 0, 3, 4, 3, 2, 0, 3, 4, 4, 3, 2, 2, 4]
pubkeycol1424 = [3, 0, 1, 4, 3, 0, 0, 1, 1, 2, 3, 0, 2, 4, 3, 4, 1, 2, 1, 4, 0, 3, 4, 1, 0, 1, 3, 1, 4, 1, 4, 3, 2, 2, 1, 0, 4, 1, 4, 1, 0, 4, 1, 3, 1, 1, 0, 4, 1, 1, 2, 4, 4, 3, 2, 3, 0, 2, 4, 2, 1, 3, 0, 3, 3, 2, 4, 4, 3, 1, 1, 4, 1, 0, 3, 3, 4, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 3, 2, 1, 0, 2, 0, 4, 2, 4, 1, 4, 4, 1, 3, 1, 4, 4, 2, 3, 3, 0, 4, 1, 1, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 2, 0, 0, 1, 0, 1, 1, 4, 0, 0, 0, 2, 0, 4, 0, 1, 2, 2, 2, 0, 3, 3, 4, 2, 0, 0, 2, 2, 2, 1, 4, 3, 0, 3, 2, 1, 0, 0, 2, 2, 3, 2, 4, 4, 3, 4, 2, 0, 0, 4, 2, 1, 1, 4, 3, 3, 4, 3, 1, 4, 3, 0, 1, 2, 4, 1, 2, 0, 4, 0, 1, 4, 3, 4, 3, 1, 3, 0, 1, 4, 4, 4, 4, 2, 3, 3, 0, 3, 1, 4, 0, 3, 4, 3, 3, 2, 3, 1, 2, 4, 0, 0, 1, 4, 0, 2, 4, 4, 1, 1, 2, 4, 0, 4, 2, 1, 0, 2, 2, 0, 0, 0, 4, 3, 0, 0, 0, 3, 3, 0, 0, 1, 0, 4, 4, 3, 3, 1, 1, 1, 2, 0, 0, 4, 0, 1, 0, 1, 4, 2, 4, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 4, 1, 0, 4, 4, 1, 4, 3, 2, 3, 4, 2, 1, 1, 4, 3, 0, 4, 4, 4, 2, 1, 2, 1, 0, 0, 4, 0, 1, 3, 3, 0, 3, 4, 1, 3, 0, 1, 4, 4, 1, 1, 3, 2, 2, 4, 2, 3, 4, 1, 2, 4, 4, 4, 4, 0, 0, 3, 4, 3, 3, 4, 3, 0, 0, 3, 4, 0, 0, 3, 1, 0, 3, 2, 0, 3, 4, 1, 1, 4, 2, 2, 3, 3, 0, 2, 1, 4, 4, 3, 1, 2, 3, 4, 4, 0, 3, 2, 4, 2, 1, 4, 4, 2, 1, 3, 3, 3, 2, 3, 2, 4, 3, 4, 0]
pubkeycol1425 = [4, 3, 2, 1, 2, 1, 0, 3, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 3, 0, 0, 4, 4, 2, 1, 4, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 4, 3, 1, 2, 1, 0, 0, 3, 1, 1, 4, 3, 2, 2, 1, 3, 3, 3, 1, 3, 4, 3, 0, 2, 3, 4, 3, 2, 1, 1, 0, 0, 0, 1, 3, 2, 3, 3, 4, 3, 4, 1, 1, 0, 0, 1, 4, 0, 1, 2, 1, 0, 4, 4, 4, 1, 1, 0, 2, 2, 2, 0, 4, 2, 3, 2, 2, 1, 2, 0, 0, 3, 0, 1, 0, 4, 2, 1, 4, 2, 3, 3, 2, 3, 1, 2, 0, 2, 0, 1, 4, 0, 3, 0, 1, 2, 2, 3, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 4, 2, 3, 1, 0, 1, 3, 4, 1, 2, 3, 1, 4, 1, 2, 0, 3, 3, 1, 4, 3, 2, 0, 4, 2, 1, 3, 0, 3, 2, 3, 2, 2, 3, 4, 4, 3, 4, 2, 4, 0, 4, 1, 0, 2, 0, 0, 3, 1, 3, 0, 0, 4, 0, 2, 2, 0, 2, 3, 2, 2, 0, 0, 3, 4, 0, 0, 2, 3, 3, 4, 2, 2, 1, 2, 3, 3, 2, 3, 4, 2, 1, 2, 4, 1, 2, 3, 2, 0, 4, 2, 2, 3, 0, 1, 4, 4, 2, 2, 1, 0, 3, 0, 1, 0, 0, 3, 3, 3, 1, 2, 4, 4, 2, 3, 0, 3, 4, 0, 4, 4, 0, 1, 2, 3, 4, 0, 4, 1, 1, 3, 2, 3, 2, 3, 1, 2, 4, 2, 2, 0, 1, 0, 2, 2, 1, 1, 4, 1, 0, 3, 3, 3, 1, 3, 0, 3, 2, 2, 1, 0, 0, 4, 1, 4, 2, 2, 3, 2, 1, 2, 1, 4, 2, 2, 4, 0, 2, 1, 4, 2, 2, 1, 3, 1, 0, 0, 4, 0, 2, 3, 3, 1, 3, 2, 2, 1, 1, 4, 4, 4, 0, 3, 4, 1, 0, 2, 4, 0, 0, 3, 4, 1, 3, 2, 3, 4, 1, 0, 4, 3, 2, 3, 2, 4, 4, 1, 2, 1, 3, 1, 0, 0, 3, 1, 4, 3, 3, 0, 3, 0, 3, 1, 2, 2, 3, 1, 3, 3, 2, 4, 0, 3]
pubkeycol1426 = [4, 1, 4, 2, 4, 1, 3, 1, 4, 1, 2, 2, 0, 0, 0, 4, 3, 2, 4, 3, 2, 3, 3, 4, 2, 2, 4, 1, 3, 2, 1, 2, 3, 0, 4, 4, 1, 1, 1, 4, 4, 3, 2, 2, 4, 4, 1, 2, 4, 4, 4, 2, 1, 1, 0, 3, 1, 4, 1, 3, 0, 2, 4, 1, 4, 4, 2, 1, 4, 4, 0, 1, 0, 2, 1, 2, 1, 1, 2, 3, 1, 4, 4, 0, 3, 1, 4, 0, 3, 4, 0, 2, 3, 2, 3, 0, 4, 2, 2, 2, 0, 2, 0, 0, 2, 3, 0, 2, 2, 4, 2, 3, 4, 4, 2, 1, 0, 3, 4, 0, 4, 1, 4, 4, 2, 2, 1, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 4, 0, 1, 0, 4, 1, 2, 2, 1, 0, 2, 1, 0, 4, 2, 0, 0, 1, 3, 2, 2, 0, 4, 1, 4, 0, 0, 3, 0, 1, 2, 0, 4, 0, 0, 2, 4, 1, 0, 1, 1, 2, 1, 3, 3, 0, 4, 0, 3, 4, 0, 1, 3, 0, 1, 0, 1, 1, 2, 1, 3, 1, 4, 1, 3, 3, 2, 3, 0, 0, 2, 3, 4, 3, 0, 2, 2, 4, 3, 3, 0, 3, 2, 4, 3, 3, 1, 1, 0, 0, 2, 2, 4, 1, 3, 4, 3, 3, 4, 1, 4, 1, 0, 0, 3, 2, 0, 4, 4, 0, 2, 1, 2, 3, 1, 1, 1, 1, 1, 4, 0, 4, 2, 1, 3, 2, 1, 2, 3, 0, 1, 4, 3, 2, 2, 2, 4, 0, 2, 4, 4, 2, 4, 3, 4, 2, 1, 0, 1, 3, 4, 4, 1, 1, 1, 0, 0, 2, 4, 2, 0, 2, 4, 3, 4, 0, 3, 0, 4, 3, 1, 0, 0, 4, 4, 3, 4, 3, 0, 4, 2, 4, 2, 3, 2, 4, 1, 0, 1, 1, 3, 1, 4, 4, 3, 1, 1, 0, 0, 1, 2, 2, 0, 4, 2, 0, 1, 3, 3, 1, 3, 0, 3, 2, 4, 3, 1, 3, 4, 4, 0, 4, 4, 1, 1, 4, 2, 0, 4, 0, 3, 1, 1, 4, 4, 2, 4, 2, 0, 1, 0, 0, 0, 1, 3, 0, 1, 4, 1, 3, 2, 2, 4, 3, 1, 0, 3, 2, 3, 4, 3, 0, 1]
pubkeycol1427 = [1, 0, 4, 0, 2, 1, 4, 1, 2, 3, 3, 1, 4, 4, 4, 0, 0, 2, 4, 4, 1, 0, 2, 0, 3, 3, 3, 1, 2, 1, 0, 3, 3, 2, 4, 2, 4, 0, 2, 2, 0, 0, 4, 1, 3, 2, 3, 1, 3, 2, 3, 0, 0, 2, 0, 4, 1, 1, 3, 0, 4, 3, 1, 3, 4, 1, 1, 2, 0, 3, 3, 0, 0, 3, 3, 4, 4, 3, 3, 4, 0, 3, 2, 2, 0, 3, 0, 4, 0, 2, 2, 1, 1, 0, 1, 3, 1, 1, 4, 2, 1, 1, 0, 3, 2, 3, 2, 4, 3, 3, 0, 0, 2, 3, 1, 3, 3, 1, 1, 0, 2, 3, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 4, 1, 2, 4, 2, 1, 4, 0, 1, 0, 2, 3, 2, 4, 0, 4, 2, 0, 2, 4, 3, 2, 2, 3, 2, 3, 4, 0, 0, 0, 0, 1, 2, 4, 2, 1, 4, 1, 4, 2, 0, 1, 0, 1, 3, 2, 4, 1, 2, 3, 3, 0, 3, 2, 4, 1, 1, 4, 4, 0, 3, 3, 2, 4, 2, 4, 3, 2, 3, 0, 4, 4, 0, 1, 3, 2, 2, 2, 4, 0, 0, 0, 4, 2, 4, 0, 2, 2, 1, 1, 2, 3, 1, 1, 1, 2, 3, 2, 4, 1, 1, 3, 0, 0, 2, 1, 3, 0, 0, 3, 0, 0, 4, 2, 4, 3, 4, 0, 1, 2, 1, 1, 3, 1, 2, 4, 1, 0, 1, 0, 4, 3, 3, 1, 1, 2, 1, 1, 1, 4, 1, 4, 3, 4, 4, 2, 3, 4, 4, 1, 4, 1, 4, 2, 0, 2, 1, 1, 4, 4, 1, 1, 1, 2, 0, 4, 2, 2, 3, 4, 3, 4, 1, 2, 4, 0, 4, 2, 2, 3, 4, 4, 4, 2, 2, 1, 2, 2, 3, 0, 1, 3, 4, 2, 3, 0, 1, 2, 2, 1, 0, 4, 3, 3, 3, 0, 2, 3, 1, 2, 4, 0, 3, 2, 3, 4, 0, 2, 4, 0, 0, 0, 4, 3, 0, 2, 4, 0, 2, 4, 1, 3, 0, 0, 3, 0, 3, 1, 2, 3, 3, 4, 1, 0, 1, 1, 2, 0, 4, 2, 1, 0, 0, 2, 2, 3, 4, 4, 0, 4]
pubkeycol1428 = [3, 2, 0, 0, 4, 3, 2, 4, 4, 1, 4, 0, 4, 0, 1, 2, 4, 4, 3, 3, 3, 4, 1, 1, 2, 1, 2, 4, 2, 2, 4, 0, 2, 2, 1, 0, 1, 3, 0, 3, 3, 1, 0, 2, 4, 4, 4, 4, 3, 4, 1, 2, 3, 3, 4, 2, 3, 2, 3, 1, 3, 2, 0, 2, 0, 4, 2, 2, 1, 2, 3, 3, 1, 0, 3, 4, 4, 2, 4, 2, 0, 1, 4, 1, 1, 0, 2, 2, 2, 1, 4, 3, 3, 3, 2, 2, 2, 4, 0, 4, 3, 1, 0, 2, 0, 1, 0, 3, 2, 3, 3, 4, 4, 4, 3, 1, 1, 1, 3, 1, 4, 1, 1, 0, 1, 1, 2, 0, 3, 1, 4, 3, 0, 0, 1, 0, 1, 2, 1, 1, 3, 4, 2, 3, 2, 0, 3, 2, 4, 4, 0, 2, 2, 3, 3, 0, 2, 2, 3, 1, 2, 3, 1, 4, 0, 4, 3, 0, 1, 2, 4, 3, 0, 4, 3, 4, 4, 2, 3, 0, 3, 1, 1, 1, 4, 0, 2, 4, 2, 0, 4, 2, 1, 3, 3, 0, 3, 2, 0, 0, 2, 0, 0, 3, 3, 4, 1, 2, 3, 0, 0, 0, 0, 2, 1, 0, 2, 1, 4, 2, 4, 4, 1, 4, 1, 1, 2, 3, 2, 1, 1, 4, 2, 2, 4, 3, 1, 3, 1, 2, 0, 2, 1, 2, 2, 4, 3, 0, 3, 2, 4, 0, 1, 3, 3, 0, 0, 2, 0, 4, 1, 4, 0, 2, 0, 0, 0, 3, 4, 0, 4, 1, 3, 1, 1, 1, 1, 3, 2, 1, 2, 3, 3, 1, 4, 3, 2, 0, 0, 1, 3, 1, 4, 3, 1, 0, 1, 4, 1, 3, 4, 3, 0, 3, 4, 4, 3, 1, 2, 3, 0, 4, 4, 0, 2, 0, 2, 2, 2, 3, 2, 0, 1, 0, 2, 1, 0, 3, 1, 3, 1, 0, 0, 0, 1, 2, 3, 3, 3, 1, 4, 4, 1, 0, 4, 1, 4, 1, 4, 4, 2, 4, 2, 4, 1, 0, 0, 1, 3, 3, 3, 2, 0, 1, 1, 1, 0, 0, 2, 4, 4, 4, 3, 0, 3, 0, 2, 3, 1, 0, 4, 1, 3, 0, 1, 4, 0, 1, 3, 0, 4, 1, 1, 4, 3, 1, 1, 3, 2, 1]
pubkeycol1429 = [1, 0, 3, 4, 2, 2, 1, 2, 2, 4, 3, 2, 4, 0, 4, 0, 1, 2, 4, 3, 1, 0, 2, 0, 3, 1, 2, 3, 0, 0, 1, 3, 1, 3, 0, 4, 1, 3, 2, 4, 0, 4, 0, 2, 1, 2, 1, 4, 2, 2, 2, 2, 3, 4, 3, 4, 0, 2, 0, 1, 2, 0, 2, 2, 3, 4, 2, 4, 3, 2, 0, 3, 3, 1, 4, 4, 4, 3, 4, 2, 4, 3, 0, 1, 1, 1, 3, 3, 0, 0, 2, 2, 0, 1, 3, 0, 0, 3, 0, 3, 4, 3, 3, 3, 2, 2, 1, 4, 3, 4, 0, 4, 0, 2, 1, 0, 1, 3, 4, 3, 3, 0, 0, 3, 2, 0, 0, 4, 1, 0, 4, 2, 3, 3, 0, 0, 2, 3, 2, 0, 2, 4, 4, 0, 1, 2, 3, 4, 2, 4, 3, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 1, 4, 3, 0, 2, 4, 2, 0, 4, 1, 0, 1, 0, 0, 3, 1, 3, 1, 1, 3, 1, 0, 4, 2, 0, 4, 1, 3, 0, 3, 3, 0, 4, 1, 0, 2, 1, 2, 2, 4, 4, 4, 2, 1, 4, 0, 0, 1, 1, 0, 2, 1, 2, 0, 3, 4, 3, 1, 1, 2, 4, 3, 1, 4, 0, 4, 1, 4, 3, 4, 1, 2, 1, 1, 4, 3, 1, 2, 4, 2, 3, 4, 2, 4, 0, 2, 4, 2, 4, 0, 2, 3, 3, 1, 0, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 4, 0, 0, 2, 1, 4, 0, 2, 0, 2, 0, 4, 4, 2, 2, 4, 0, 3, 4, 1, 3, 4, 1, 2, 3, 4, 2, 3, 1, 4, 1, 4, 4, 1, 1, 0, 4, 0, 2, 4, 3, 0, 2, 2, 3, 0, 1, 1, 2, 1, 4, 2, 4, 1, 2, 4, 2, 2, 3, 0, 1, 4, 0, 1, 3, 0, 4, 4, 4, 1, 4, 2, 0, 3, 0, 1, 2, 3, 4, 3, 3, 4, 3, 2, 3, 0, 1, 0, 1, 2, 2, 3, 1, 0, 4, 4, 0, 4, 3, 3, 4, 2, 2, 2, 1, 3, 3, 0, 3, 0, 2, 2, 3, 2, 4, 0, 2, 1, 1, 3, 4, 2, 2, 4, 2, 0, 3, 2, 4, 1, 3]
pubkeycol1430 = [4, 2, 4, 3, 0, 0, 1, 4, 0, 1, 2, 0, 3, 1, 2, 3, 4, 0, 4, 2, 1, 3, 1, 0, 2, 3, 3, 0, 1, 1, 0, 2, 2, 2, 2, 3, 4, 2, 2, 2, 4, 2, 3, 4, 4, 0, 0, 1, 3, 3, 4, 2, 4, 0, 3, 4, 3, 0, 2, 0, 2, 3, 2, 2, 4, 4, 1, 1, 1, 0, 1, 3, 3, 4, 1, 3, 3, 1, 3, 2, 4, 4, 0, 2, 2, 1, 2, 2, 3, 3, 1, 0, 1, 2, 0, 2, 4, 4, 3, 0, 4, 1, 1, 0, 3, 1, 0, 0, 1, 2, 2, 1, 1, 4, 2, 2, 1, 3, 3, 1, 0, 4, 4, 3, 4, 0, 0, 3, 0, 2, 4, 4, 1, 0, 4, 0, 1, 0, 3, 3, 0, 3, 2, 0, 0, 0, 3, 3, 0, 3, 1, 2, 1, 4, 2, 0, 3, 3, 1, 2, 2, 0, 0, 4, 2, 3, 4, 4, 2, 1, 0, 1, 2, 3, 4, 2, 3, 2, 2, 0, 2, 3, 2, 4, 0, 4, 3, 2, 1, 1, 1, 3, 3, 4, 4, 4, 1, 2, 3, 0, 2, 0, 4, 1, 1, 3, 3, 0, 4, 0, 0, 1, 3, 2, 3, 4, 4, 4, 1, 2, 3, 4, 0, 3, 4, 0, 0, 0, 4, 4, 4, 1, 1, 1, 3, 1, 2, 3, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 1, 4, 3, 4, 0, 3, 4, 2, 4, 1, 3, 3, 0, 1, 3, 2, 4, 3, 1, 3, 4, 1, 0, 0, 2, 3, 2, 1, 1, 2, 4, 4, 4, 2, 3, 0, 0, 4, 3, 0, 2, 3, 0, 0, 4, 3, 4, 3, 4, 3, 0, 0, 2, 3, 1, 3, 1, 1, 0, 3, 3, 3, 0, 0, 2, 3, 0, 2, 2, 1, 3, 4, 0, 2, 3, 3, 0, 0, 1, 1, 1, 2, 0, 2, 4, 4, 1, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 4, 1, 0, 1, 2, 4, 0, 1, 2, 4, 1, 2, 1, 0, 2, 4, 0, 4, 2, 2, 4, 1, 3, 1, 3, 2, 4, 0, 4, 3, 1, 2, 4, 3, 3, 1, 4, 0, 4, 0, 1, 0, 4, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2]
pubkeycol1431 = [4, 3, 1, 3, 2, 2, 0, 4, 3, 4, 3, 3, 3, 3, 0, 3, 1, 0, 3, 1, 4, 1, 2, 3, 3, 0, 4, 0, 2, 1, 4, 1, 4, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 3, 0, 0, 2, 3, 4, 1, 2, 2, 3, 3, 4, 2, 2, 3, 1, 2, 4, 2, 3, 4, 0, 4, 4, 2, 0, 3, 1, 3, 4, 4, 2, 3, 2, 2, 0, 2, 2, 2, 4, 3, 3, 1, 2, 3, 3, 3, 1, 0, 4, 3, 2, 0, 1, 1, 4, 4, 1, 2, 1, 1, 4, 0, 0, 2, 0, 1, 3, 2, 3, 4, 2, 2, 1, 3, 4, 1, 1, 4, 3, 2, 2, 1, 1, 4, 0, 0, 3, 0, 1, 0, 4, 0, 1, 3, 2, 3, 0, 0, 3, 4, 0, 1, 4, 0, 2, 4, 4, 1, 4, 2, 2, 1, 0, 3, 4, 2, 3, 3, 1, 4, 3, 1, 2, 0, 0, 3, 4, 0, 2, 2, 1, 4, 1, 1, 2, 0, 0, 3, 1, 1, 4, 0, 2, 1, 4, 1, 4, 0, 4, 0, 2, 0, 1, 0, 2, 4, 1, 3, 1, 2, 1, 4, 2, 0, 1, 3, 0, 0, 3, 3, 0, 0, 0, 0, 4, 2, 2, 0, 4, 2, 3, 0, 3, 3, 0, 2, 2, 2, 2, 0, 1, 2, 3, 0, 1, 1, 2, 3, 2, 3, 3, 4, 1, 0, 4, 3, 1, 0, 2, 1, 0, 2, 4, 3, 4, 4, 1, 1, 0, 3, 3, 3, 4, 4, 1, 4, 3, 2, 0, 0, 2, 0, 4, 4, 4, 1, 0, 1, 2, 0, 3, 2, 2, 3, 1, 4, 1, 2, 1, 3, 0, 1, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 1, 4, 4, 1, 2, 0, 3, 2, 4, 0, 1, 4, 2, 4, 0, 3, 0, 1, 4, 4, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 4, 1, 4, 0, 2, 2, 3, 3, 4, 0, 2, 0, 2, 1, 0, 2, 0, 3, 1, 0, 3, 0, 2, 2, 0, 4, 1, 1, 3, 0, 4, 2, 2, 2, 1, 3, 4, 1, 4, 3, 0, 2, 2, 2, 0, 1, 3, 1, 4, 0, 4, 0, 0, 1, 2, 3, 0, 1, 3]
pubkeycol1432 = [1, 1, 2, 3, 4, 3, 1, 0, 2, 2, 1, 3, 1, 2, 0, 1, 1, 1, 1, 4, 0, 4, 0, 0, 0, 1, 1, 0, 4, 3, 2, 0, 2, 2, 1, 2, 0, 1, 4, 3, 2, 3, 2, 2, 0, 3, 3, 4, 3, 0, 4, 4, 0, 1, 2, 2, 3, 4, 3, 3, 2, 1, 2, 3, 0, 1, 0, 2, 1, 1, 4, 4, 4, 0, 0, 2, 1, 4, 1, 1, 2, 1, 4, 3, 2, 1, 2, 3, 1, 2, 4, 3, 1, 4, 2, 2, 4, 4, 0, 1, 1, 0, 0, 4, 0, 4, 0, 4, 1, 2, 3, 0, 3, 1, 2, 3, 2, 2, 2, 0, 1, 1, 4, 0, 0, 4, 2, 3, 3, 3, 0, 0, 1, 4, 2, 3, 0, 1, 1, 2, 4, 3, 4, 4, 4, 3, 2, 1, 2, 3, 0, 2, 1, 4, 3, 4, 0, 4, 0, 0, 4, 0, 3, 1, 3, 2, 0, 3, 1, 1, 4, 3, 1, 4, 0, 4, 3, 0, 0, 4, 0, 1, 2, 0, 4, 2, 3, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 4, 1, 3, 1, 4, 0, 3, 4, 3, 0, 1, 1, 3, 1, 2, 2, 2, 4, 0, 1, 0, 1, 4, 2, 4, 3, 2, 2, 0, 3, 0, 1, 0, 1, 1, 0, 1, 3, 4, 0, 1, 3, 0, 2, 4, 3, 2, 1, 3, 1, 2, 2, 4, 3, 4, 4, 4, 3, 2, 2, 3, 1, 3, 2, 4, 2, 1, 3, 3, 3, 1, 2, 0, 0, 4, 1, 1, 2, 2, 4, 2, 2, 4, 0, 3, 3, 3, 0, 4, 2, 4, 3, 4, 3, 0, 1, 0, 1, 3, 1, 0, 2, 3, 0, 2, 3, 1, 1, 2, 3, 0, 1, 4, 2, 4, 1, 0, 3, 2, 2, 1, 1, 2, 3, 1, 3, 0, 1, 4, 3, 4, 2, 4, 0, 1, 0, 0, 4, 3, 2, 0, 4, 0, 2, 3, 4, 4, 1, 3, 4, 0, 0, 1, 0, 1, 1, 2, 3, 0, 4, 3, 2, 2, 1, 3, 2, 1, 4, 4, 0, 1, 1, 0, 2, 2, 2, 1, 3, 1, 3, 0, 3, 1, 3, 0, 0, 3, 1, 0, 1, 4, 3, 1, 0, 4, 2, 4, 2, 2, 3, 0, 1]
pubkeycol1433 = [1, 0, 2, 4, 4, 3, 4, 0, 3, 0, 4, 4, 3, 2, 3, 3, 1, 0, 1, 1, 4, 4, 4, 1, 2, 2, 3, 1, 2, 2, 3, 3, 3, 3, 3, 1, 3, 3, 1, 1, 0, 3, 3, 3, 1, 2, 1, 3, 0, 2, 1, 2, 3, 4, 3, 2, 4, 4, 4, 2, 1, 1, 4, 4, 3, 3, 3, 2, 0, 1, 0, 1, 4, 3, 2, 3, 0, 3, 2, 3, 4, 3, 3, 3, 1, 2, 4, 0, 3, 0, 0, 0, 4, 3, 2, 4, 3, 2, 3, 2, 2, 1, 2, 4, 1, 4, 4, 1, 0, 0, 0, 1, 3, 0, 4, 1, 0, 1, 2, 0, 0, 4, 0, 4, 2, 3, 4, 0, 2, 1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 3, 3, 0, 3, 2, 4, 3, 1, 3, 3, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 3, 3, 3, 4, 3, 0, 1, 2, 2, 2, 1, 4, 0, 1, 3, 3, 2, 4, 1, 0, 3, 4, 3, 0, 2, 3, 1, 0, 2, 4, 1, 4, 4, 2, 3, 1, 0, 2, 4, 3, 2, 2, 4, 1, 3, 2, 0, 4, 3, 1, 2, 4, 0, 1, 0, 0, 0, 4, 2, 0, 0, 3, 1, 0, 1, 4, 3, 0, 1, 3, 1, 4, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 2, 0, 4, 2, 0, 1, 3, 0, 3, 1, 2, 0, 0, 2, 2, 0, 0, 4, 1, 2, 3, 4, 3, 4, 0, 1, 0, 0, 4, 0, 0, 0, 0, 2, 0, 2, 1, 2, 3, 3, 3, 4, 0, 3, 2, 1, 0, 2, 3, 3, 0, 4, 0, 0, 1, 2, 1, 2, 0, 4, 3, 4, 0, 3, 0, 1, 4, 4, 4, 0, 0, 0, 1, 4, 3, 3, 1, 2, 3, 4, 4, 2, 2, 3, 0, 2, 1, 4, 4, 3, 4, 4, 3, 0, 4, 0, 1, 3, 4, 1, 4, 1, 3, 2, 1, 1, 3, 3, 0, 0, 3, 0, 4, 4, 3, 0, 3, 1, 4, 3, 0, 4, 4, 3, 0, 1, 1, 0, 0, 0, 0, 2, 1, 4, 1, 4, 1, 3, 3, 2, 0, 4, 2, 4, 0, 3, 2, 0, 3, 2, 0, 4, 1, 4, 2, 4, 1]
pubkeycol1434 = [3, 0, 4, 4, 3, 2, 2, 1, 4, 1, 4, 2, 2, 3, 3, 4, 4, 1, 4, 1, 1, 0, 4, 2, 1, 3, 3, 4, 3, 2, 1, 1, 1, 1, 3, 4, 2, 2, 0, 1, 2, 4, 3, 1, 2, 2, 1, 0, 4, 4, 3, 2, 0, 2, 0, 1, 1, 0, 2, 3, 1, 2, 0, 2, 4, 3, 3, 0, 0, 4, 2, 2, 3, 3, 0, 4, 3, 3, 0, 2, 2, 2, 1, 2, 3, 0, 3, 2, 0, 4, 0, 1, 1, 0, 4, 0, 1, 1, 2, 1, 0, 3, 1, 0, 0, 1, 3, 3, 0, 4, 2, 2, 4, 3, 2, 0, 2, 3, 3, 3, 0, 4, 4, 3, 0, 3, 0, 4, 1, 0, 0, 4, 3, 3, 1, 1, 2, 3, 1, 0, 1, 0, 2, 3, 2, 1, 4, 2, 3, 1, 0, 2, 1, 4, 3, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 3, 1, 1, 0, 2, 3, 1, 2, 0, 3, 3, 3, 1, 1, 3, 4, 3, 2, 0, 4, 4, 2, 3, 0, 4, 4, 3, 4, 3, 2, 2, 0, 3, 3, 2, 1, 1, 3, 0, 2, 4, 2, 4, 0, 4, 0, 2, 4, 4, 4, 2, 0, 0, 1, 3, 3, 2, 1, 3, 1, 1, 1, 0, 4, 2, 4, 0, 4, 3, 4, 4, 0, 0, 4, 4, 3, 1, 3, 2, 0, 1, 3, 1, 1, 0, 4, 3, 2, 2, 2, 4, 2, 1, 4, 4, 3, 2, 0, 0, 4, 3, 3, 0, 0, 4, 2, 3, 1, 2, 1, 2, 0, 4, 3, 1, 4, 4, 2, 4, 2, 0, 3, 3, 1, 0, 2, 0, 1, 1, 2, 4, 4, 4, 4, 1, 2, 2, 0, 4, 3, 0, 3, 4, 2, 0, 0, 0, 2, 4, 2, 3, 4, 4, 3, 2, 4, 3, 4, 3, 1, 2, 4, 1, 0, 3, 1, 3, 3, 2, 4, 3, 3, 0, 3, 4, 4, 0, 2, 4, 2, 0, 0, 1, 4, 0, 1, 2, 4, 2, 2, 0, 1, 3, 3, 1, 2, 1, 3, 3, 3, 0, 0, 3, 4, 1, 0, 1, 1, 0, 0, 0, 1, 3, 2, 0, 1, 1, 3, 0, 4, 1, 0, 0, 4, 2, 0, 3, 0, 0, 4, 1, 4, 3, 3]
pubkeycol1435 = [2, 3, 1, 3, 0, 4, 2, 1, 1, 3, 1, 3, 1, 3, 2, 0, 0, 0, 3, 1, 0, 4, 3, 2, 4, 2, 0, 3, 0, 2, 2, 2, 0, 0, 2, 2, 1, 3, 2, 0, 0, 0, 0, 1, 0, 1, 4, 1, 1, 4, 4, 2, 4, 3, 4, 2, 2, 3, 1, 3, 1, 0, 4, 1, 1, 0, 0, 0, 1, 0, 3, 1, 0, 1, 4, 4, 0, 1, 2, 3, 0, 3, 4, 3, 2, 4, 0, 0, 2, 3, 3, 3, 4, 2, 2, 0, 1, 4, 0, 0, 0, 3, 3, 1, 4, 0, 4, 2, 0, 1, 3, 2, 0, 2, 4, 0, 0, 2, 4, 2, 3, 2, 3, 0, 4, 0, 0, 2, 0, 2, 3, 2, 4, 0, 1, 1, 3, 3, 2, 3, 4, 2, 1, 4, 0, 3, 4, 3, 2, 4, 1, 1, 0, 1, 4, 4, 2, 0, 4, 2, 0, 4, 2, 0, 4, 1, 1, 4, 3, 1, 3, 3, 3, 0, 0, 1, 1, 3, 3, 0, 0, 2, 4, 2, 1, 1, 1, 2, 1, 3, 2, 0, 1, 2, 1, 3, 3, 2, 1, 3, 2, 0, 2, 3, 4, 1, 0, 3, 2, 2, 0, 3, 0, 1, 1, 4, 3, 4, 0, 0, 2, 3, 0, 4, 3, 2, 3, 3, 2, 4, 4, 1, 4, 3, 2, 0, 0, 3, 4, 4, 3, 0, 2, 1, 0, 1, 0, 0, 2, 4, 1, 0, 1, 2, 1, 1, 4, 2, 2, 4, 1, 3, 2, 1, 4, 3, 1, 3, 2, 1, 2, 1, 2, 0, 4, 0, 3, 4, 4, 4, 2, 3, 0, 4, 4, 0, 0, 1, 1, 1, 3, 0, 2, 1, 3, 0, 3, 4, 4, 2, 4, 4, 0, 0, 2, 0, 2, 0, 1, 3, 3, 2, 3, 0, 4, 4, 4, 0, 0, 4, 2, 3, 0, 1, 4, 1, 2, 4, 0, 0, 3, 0, 4, 4, 0, 0, 2, 2, 4, 2, 0, 1, 3, 1, 4, 4, 1, 2, 1, 3, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 3, 1, 4, 3, 0, 1, 0, 1, 2, 4, 2, 3, 0, 2, 2, 4, 2, 2, 1, 0, 3, 1, 1, 1, 2, 3, 0, 3, 1, 3, 2, 0, 1, 0, 4, 4, 2, 2, 4]
pubkeycol1436 = [3, 2, 1, 4, 3, 3, 1, 2, 2, 1, 2, 1, 1, 4, 1, 3, 2, 4, 2, 2, 0, 2, 1, 1, 1, 3, 3, 0, 4, 1, 2, 0, 3, 3, 3, 4, 1, 2, 1, 4, 3, 3, 1, 0, 4, 4, 1, 4, 2, 0, 4, 2, 0, 3, 0, 1, 0, 2, 0, 0, 4, 3, 2, 2, 1, 0, 0, 3, 3, 3, 4, 0, 0, 1, 4, 1, 4, 0, 3, 0, 4, 3, 3, 0, 0, 0, 1, 4, 3, 2, 3, 2, 3, 0, 3, 0, 4, 0, 3, 4, 4, 2, 1, 3, 3, 4, 3, 4, 0, 1, 0, 1, 4, 1, 4, 4, 1, 2, 1, 2, 4, 0, 2, 2, 3, 3, 0, 3, 2, 1, 0, 4, 1, 0, 0, 0, 4, 0, 2, 1, 3, 3, 3, 3, 0, 0, 0, 4, 0, 0, 4, 1, 1, 0, 3, 4, 0, 1, 4, 1, 2, 2, 4, 1, 3, 2, 1, 4, 1, 1, 0, 1, 4, 2, 3, 3, 3, 2, 0, 2, 4, 4, 2, 1, 3, 1, 3, 0, 2, 2, 2, 3, 3, 1, 3, 4, 3, 0, 1, 4, 3, 3, 0, 3, 3, 0, 1, 2, 3, 0, 2, 4, 2, 1, 4, 0, 4, 1, 4, 2, 4, 2, 4, 4, 1, 0, 2, 3, 4, 4, 3, 2, 4, 4, 3, 2, 2, 3, 2, 3, 3, 3, 1, 2, 1, 4, 1, 3, 4, 4, 3, 1, 1, 4, 4, 3, 3, 2, 0, 1, 3, 3, 0, 2, 0, 3, 4, 3, 2, 0, 0, 1, 4, 4, 4, 0, 3, 3, 1, 0, 0, 0, 3, 4, 2, 1, 4, 1, 4, 0, 4, 4, 3, 1, 1, 2, 1, 0, 1, 0, 3, 3, 1, 4, 0, 0, 0, 0, 2, 1, 3, 4, 0, 2, 1, 1, 0, 0, 2, 4, 3, 0, 3, 1, 1, 1, 0, 0, 3, 0, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 4, 2, 1, 1, 1, 2, 1, 0, 0, 2, 4, 2, 0, 2, 2, 1, 1, 0, 3, 2, 4, 2, 1, 2, 3, 1, 1, 3, 0, 0, 4, 4, 2, 3, 4, 2, 1, 2, 1, 2, 0, 1, 2, 1, 4, 4, 1, 4, 4, 2, 0, 4, 3, 4, 4, 2, 3, 2, 3, 1]
pubkeycol1437 = [0, 0, 0, 2, 0, 1, 1, 4, 1, 3, 3, 4, 0, 2, 3, 3, 2, 0, 1, 2, 2, 2, 2, 3, 4, 4, 2, 2, 3, 3, 3, 2, 1, 3, 2, 2, 1, 4, 3, 0, 2, 2, 4, 0, 4, 1, 4, 1, 4, 4, 2, 1, 1, 1, 0, 4, 3, 1, 2, 4, 4, 3, 3, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 4, 2, 4, 3, 0, 1, 0, 1, 0, 3, 0, 0, 3, 3, 3, 1, 3, 3, 3, 0, 2, 1, 0, 4, 1, 4, 3, 0, 0, 3, 3, 0, 1, 3, 3, 1, 3, 3, 2, 4, 2, 1, 3, 1, 1, 1, 4, 1, 4, 2, 4, 3, 3, 1, 0, 3, 0, 1, 0, 4, 2, 3, 3, 3, 2, 2, 1, 3, 1, 4, 4, 1, 3, 4, 0, 1, 3, 2, 2, 4, 0, 2, 4, 2, 0, 2, 2, 2, 4, 3, 2, 4, 0, 4, 2, 1, 4, 0, 2, 2, 3, 4, 3, 3, 0, 2, 3, 2, 1, 3, 0, 3, 2, 2, 4, 2, 4, 1, 3, 3, 3, 1, 3, 4, 4, 3, 1, 1, 3, 2, 4, 3, 1, 2, 3, 2, 1, 1, 3, 0, 4, 4, 4, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 4, 1, 3, 0, 4, 1, 0, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 0, 2, 2, 1, 2, 3, 2, 4, 2, 2, 2, 3, 3, 0, 3, 3, 1, 0, 4, 4, 3, 2, 1, 4, 1, 2, 3, 1, 4, 1, 3, 4, 1, 3, 4, 0, 1, 3, 4, 3, 3, 4, 1, 0, 4, 0, 1, 3, 3, 4, 3, 4, 3, 1, 0, 0, 2, 2, 0, 0, 3, 3, 4, 2, 4, 2, 0, 3, 1, 2, 3, 0, 4, 1, 0, 3, 4, 4, 3, 3, 0, 0, 2, 2, 0, 3, 3, 4, 2, 3, 4, 2, 3, 4, 1, 4, 1, 2, 3, 3, 1, 3, 4, 2, 1, 2, 2, 0, 4, 0, 4, 1, 4, 2, 1, 4, 2, 0, 4, 0, 4, 0, 1, 3, 1, 3, 0, 0, 1, 3, 2, 3, 1, 1, 4, 4, 4, 0, 0, 0, 2, 0, 4, 1, 0, 0, 2, 0, 3, 2, 0, 1, 3, 4, 3]
pubkeycol1438 = [1, 1, 4, 2, 1, 0, 2, 1, 1, 0, 3, 2, 1, 4, 1, 0, 1, 1, 2, 0, 4, 0, 1, 1, 1, 3, 3, 3, 1, 0, 0, 4, 0, 4, 4, 2, 4, 0, 4, 2, 4, 1, 0, 4, 2, 1, 4, 0, 2, 4, 3, 0, 4, 2, 1, 1, 0, 3, 0, 2, 3, 0, 0, 1, 0, 3, 0, 1, 0, 0, 3, 4, 3, 3, 2, 2, 1, 3, 4, 1, 1, 1, 1, 2, 2, 0, 2, 4, 0, 0, 3, 4, 2, 4, 2, 1, 1, 1, 1, 2, 0, 4, 0, 3, 1, 3, 1, 2, 2, 3, 0, 2, 3, 4, 0, 3, 0, 3, 0, 1, 4, 1, 1, 4, 3, 3, 3, 0, 0, 2, 3, 1, 1, 3, 4, 1, 1, 4, 4, 1, 3, 1, 3, 2, 2, 3, 1, 4, 2, 4, 0, 4, 1, 1, 0, 1, 2, 2, 1, 0, 2, 4, 4, 2, 4, 3, 1, 4, 1, 3, 0, 0, 0, 2, 2, 0, 1, 3, 2, 2, 0, 4, 2, 1, 1, 0, 0, 0, 1, 0, 0, 4, 0, 3, 3, 3, 2, 4, 2, 1, 4, 1, 1, 4, 1, 1, 3, 0, 2, 2, 1, 4, 2, 2, 2, 2, 4, 1, 4, 0, 2, 1, 2, 4, 0, 0, 2, 4, 4, 0, 1, 3, 1, 1, 0, 4, 3, 3, 1, 0, 3, 4, 0, 1, 3, 1, 0, 0, 1, 1, 2, 4, 0, 0, 2, 3, 1, 0, 3, 3, 4, 1, 0, 3, 0, 3, 1, 3, 3, 3, 2, 3, 3, 1, 0, 2, 4, 1, 1, 0, 0, 2, 2, 1, 1, 3, 0, 1, 3, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 4, 1, 0, 2, 3, 2, 4, 0, 4, 3, 0, 3, 2, 3, 0, 1, 0, 4, 1, 4, 3, 2, 4, 0, 2, 0, 3, 2, 1, 1, 3, 1, 2, 4, 1, 1, 1, 3, 1, 4, 3, 1, 2, 3, 4, 0, 0, 4, 1, 1, 0, 1, 2, 4, 4, 1, 0, 2, 3, 2, 4, 0, 1, 0, 4, 3, 2, 1, 4, 1, 1, 1, 4, 4, 3, 4, 0, 1, 1, 2, 4, 2, 0, 3, 1, 4, 0, 0, 3, 4, 4, 4, 3, 2, 3, 1, 2, 4, 3]
pubkeycol1439 = [1, 0, 2, 2, 4, 2, 4, 3, 0, 0, 4, 0, 0, 4, 0, 0, 0, 2, 4, 0, 2, 4, 4, 2, 4, 3, 3, 2, 0, 4, 0, 2, 0, 3, 2, 1, 4, 0, 1, 0, 4, 2, 0, 4, 1, 1, 4, 4, 3, 1, 4, 3, 1, 0, 1, 2, 4, 2, 2, 2, 4, 2, 2, 0, 1, 3, 3, 1, 2, 3, 1, 0, 1, 0, 3, 4, 4, 2, 0, 2, 0, 2, 2, 2, 3, 3, 3, 2, 2, 4, 3, 1, 2, 3, 1, 0, 0, 4, 0, 2, 3, 4, 0, 3, 1, 2, 0, 3, 0, 2, 3, 2, 0, 1, 2, 0, 1, 1, 2, 4, 2, 1, 4, 2, 1, 2, 4, 4, 1, 3, 3, 0, 2, 2, 0, 3, 1, 2, 2, 0, 4, 4, 4, 4, 3, 2, 4, 1, 4, 2, 4, 3, 1, 3, 1, 4, 2, 1, 2, 4, 1, 2, 0, 0, 2, 2, 2, 3, 0, 4, 0, 3, 1, 3, 3, 0, 3, 1, 1, 4, 4, 2, 1, 0, 0, 3, 3, 0, 3, 0, 2, 3, 4, 2, 4, 0, 2, 1, 2, 2, 2, 3, 1, 2, 0, 4, 3, 0, 1, 0, 4, 3, 2, 2, 2, 3, 3, 2, 0, 0, 4, 3, 1, 2, 1, 0, 3, 0, 3, 1, 1, 2, 4, 4, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 3, 3, 3, 2, 0, 4, 0, 0, 2, 2, 3, 0, 2, 1, 3, 2, 1, 1, 0, 3, 1, 2, 3, 1, 4, 1, 2, 1, 4, 2, 4, 3, 1, 2, 0, 3, 3, 3, 2, 3, 3, 0, 0, 4, 1, 3, 0, 0, 0, 1, 2, 0, 1, 4, 2, 1, 3, 2, 2, 3, 3, 4, 2, 0, 4, 4, 0, 2, 2, 1, 3, 0, 0, 4, 2, 2, 4, 2, 1, 4, 0, 3, 3, 0, 4, 1, 2, 1, 0, 3, 0, 3, 1, 0, 3, 4, 2, 2, 4, 0, 0, 2, 1, 2, 1, 3, 1, 0, 0, 1, 2, 0, 1, 4, 1, 3, 3, 4, 3, 1, 2, 1, 3, 3, 1, 4, 0, 0, 3, 4, 2, 3, 4, 1, 4, 4, 0, 3, 2, 2, 2, 1, 2, 3, 0, 4, 2, 0, 4, 3, 3, 3, 3, 2, 3]
pubkeycol1440 = [1, 4, 3, 1, 3, 3, 3, 0, 1, 0, 2, 4, 4, 3, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 4, 3, 1, 3, 2, 4, 0, 2, 4, 3, 1, 0, 2, 1, 4, 4, 1, 4, 1, 1, 2, 3, 4, 4, 2, 4, 1, 2, 4, 1, 2, 0, 0, 0, 3, 2, 3, 3, 3, 3, 1, 3, 1, 1, 4, 2, 3, 1, 4, 4, 3, 2, 1, 0, 2, 4, 2, 2, 3, 3, 1, 2, 1, 2, 3, 0, 3, 1, 3, 2, 4, 2, 3, 4, 0, 4, 4, 0, 1, 2, 4, 2, 0, 3, 4, 0, 4, 1, 0, 0, 4, 1, 2, 0, 3, 2, 4, 2, 1, 0, 1, 4, 3, 1, 1, 4, 2, 2, 3, 2, 2, 4, 4, 2, 0, 0, 3, 3, 0, 0, 0, 1, 3, 3, 2, 2, 2, 3, 3, 1, 3, 2, 4, 0, 0, 3, 0, 1, 2, 4, 1, 1, 1, 3, 2, 2, 4, 1, 0, 1, 3, 0, 4, 3, 1, 3, 0, 3, 0, 0, 1, 0, 3, 3, 3, 4, 0, 1, 0, 0, 3, 4, 3, 1, 4, 4, 4, 3, 1, 0, 0, 4, 3, 3, 3, 4, 1, 1, 4, 0, 2, 1, 4, 1, 2, 3, 4, 4, 0, 2, 1, 4, 0, 0, 1, 3, 4, 3, 3, 3, 4, 1, 1, 2, 2, 2, 0, 0, 4, 4, 2, 3, 3, 4, 0, 1, 4, 2, 4, 0, 2, 4, 4, 0, 4, 4, 4, 1, 4, 4, 0, 0, 3, 2, 1, 3, 0, 4, 2, 3, 2, 3, 1, 0, 4, 3, 0, 0, 3, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 4, 2, 4, 3, 0, 4, 2, 2, 1, 0, 2, 4, 3, 3, 4, 0, 1, 2, 0, 0, 1, 3, 0, 3, 0, 0, 1, 3, 2, 0, 1, 3, 4, 3, 4, 3, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 1, 0, 1, 4, 1, 3, 0, 2, 1, 2, 4, 2, 0, 2, 2, 0, 0, 2, 1, 2, 4, 0, 0, 3, 0, 4, 1, 4, 2, 2, 4, 4, 0, 4, 1, 2, 3, 3, 0, 0, 2, 2, 0, 2, 1, 2, 2, 3, 4, 3, 0, 2, 1, 4, 2, 2, 1, 3, 1, 3]
pubkeycol1441 = [2, 0, 2, 4, 4, 4, 3, 3, 4, 4, 4, 0, 1, 3, 2, 3, 1, 2, 4, 0, 3, 0, 2, 3, 3, 1, 2, 1, 0, 3, 4, 0, 0, 0, 4, 0, 3, 0, 1, 4, 4, 2, 2, 4, 1, 4, 3, 4, 2, 2, 1, 1, 3, 1, 0, 0, 3, 3, 2, 3, 3, 4, 0, 0, 4, 4, 4, 2, 2, 2, 1, 4, 1, 1, 0, 3, 0, 2, 3, 4, 1, 4, 1, 0, 3, 1, 0, 2, 4, 0, 1, 3, 4, 4, 2, 3, 0, 4, 0, 3, 0, 4, 1, 3, 4, 2, 1, 2, 4, 0, 0, 2, 2, 2, 2, 0, 2, 0, 3, 4, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 4, 1, 4, 1, 4, 4, 0, 4, 4, 0, 0, 4, 3, 4, 0, 4, 3, 3, 3, 1, 3, 4, 0, 2, 3, 4, 1, 0, 0, 0, 1, 3, 2, 1, 0, 0, 1, 0, 4, 1, 2, 0, 2, 0, 3, 4, 2, 3, 4, 1, 3, 0, 4, 4, 1, 1, 0, 4, 0, 1, 3, 0, 3, 3, 1, 4, 1, 1, 2, 2, 4, 2, 4, 4, 3, 0, 0, 0, 0, 2, 4, 1, 0, 2, 3, 4, 0, 1, 1, 2, 3, 2, 3, 0, 4, 2, 0, 3, 1, 4, 3, 3, 0, 3, 0, 1, 0, 3, 2, 3, 3, 1, 4, 4, 1, 3, 2, 2, 0, 2, 2, 3, 4, 2, 3, 4, 1, 3, 3, 2, 3, 2, 0, 0, 2, 0, 1, 2, 1, 1, 3, 2, 1, 4, 1, 1, 3, 1, 1, 3, 4, 4, 2, 2, 4, 0, 2, 2, 0, 3, 1, 2, 0, 4, 3, 2, 2, 4, 3, 0, 3, 0, 2, 3, 2, 4, 1, 3, 1, 3, 4, 4, 2, 1, 2, 4, 0, 2, 2, 0, 3, 1, 3, 1, 4, 4, 4, 3, 1, 0, 4, 1, 4, 0, 1, 0, 2, 1, 2, 1, 3, 1, 2, 1, 2, 0, 4, 2, 4, 3, 3, 1, 1, 1, 1, 3, 3, 2, 1, 3, 4, 0, 2, 3, 4, 2, 0, 0, 1, 2, 3, 4, 1, 1, 3, 0, 4, 1, 4, 0, 4, 3, 0, 2, 0, 4, 4, 2, 4, 1, 0, 1, 1, 1, 2, 3, 1, 2, 2]
pubkeycol1442 = [1, 3, 3, 4, 1, 4, 4, 4, 4, 1, 3, 2, 1, 0, 1, 0, 4, 4, 4, 3, 1, 2, 1, 3, 0, 0, 1, 2, 3, 1, 3, 4, 4, 0, 4, 4, 4, 3, 3, 0, 0, 1, 1, 3, 1, 3, 4, 1, 1, 2, 3, 3, 4, 1, 1, 3, 1, 1, 2, 3, 1, 3, 1, 4, 0, 4, 3, 3, 3, 1, 1, 3, 3, 3, 2, 3, 3, 3, 3, 2, 1, 2, 4, 0, 4, 3, 3, 0, 1, 2, 0, 0, 4, 4, 4, 3, 1, 3, 1, 2, 0, 2, 0, 1, 3, 4, 1, 1, 2, 4, 4, 4, 4, 4, 0, 1, 0, 0, 3, 3, 4, 2, 1, 1, 3, 1, 4, 1, 0, 3, 3, 3, 2, 2, 2, 2, 0, 3, 2, 1, 0, 4, 3, 3, 2, 0, 0, 0, 3, 4, 0, 4, 3, 3, 2, 3, 2, 2, 2, 3, 0, 0, 3, 2, 4, 0, 3, 4, 2, 0, 4, 1, 2, 2, 4, 1, 3, 0, 2, 4, 1, 3, 4, 0, 0, 1, 2, 4, 0, 1, 3, 0, 3, 3, 4, 2, 1, 2, 0, 4, 4, 4, 2, 4, 1, 3, 3, 3, 0, 1, 4, 1, 2, 3, 3, 4, 3, 1, 2, 1, 4, 3, 0, 4, 0, 1, 3, 1, 4, 4, 0, 3, 3, 1, 0, 0, 3, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 0, 4, 4, 1, 3, 1, 1, 3, 3, 1, 2, 3, 2, 4, 1, 4, 1, 0, 2, 0, 2, 2, 0, 4, 2, 0, 1, 1, 4, 1, 1, 0, 3, 4, 3, 1, 3, 0, 3, 0, 3, 4, 2, 2, 1, 1, 2, 1, 3, 3, 2, 1, 1, 2, 0, 2, 1, 3, 0, 2, 2, 0, 4, 4, 3, 4, 1, 3, 1, 3, 1, 2, 1, 0, 1, 0, 3, 4, 3, 4, 1, 2, 0, 4, 3, 3, 0, 3, 0, 3, 0, 4, 4, 1, 0, 4, 4, 4, 2, 3, 0, 0, 4, 4, 3, 3, 2, 4, 1, 0, 1, 2, 2, 1, 1, 0, 0, 3, 0, 1, 4, 1, 4, 1, 1, 3, 4, 3, 1, 1, 3, 1, 2, 0, 1, 3, 3, 3, 1, 2, 0, 3, 4, 0, 3, 3, 3, 0, 3, 1, 1, 4, 4]
pubkeycol1443 = [2, 4, 2, 4, 4, 3, 0, 1, 3, 2, 1, 0, 4, 1, 0, 3, 4, 4, 2, 0, 3, 1, 0, 3, 0, 3, 4, 0, 3, 1, 3, 3, 3, 3, 4, 3, 2, 2, 1, 3, 4, 1, 2, 4, 1, 2, 3, 2, 0, 2, 4, 4, 1, 1, 4, 2, 3, 0, 4, 0, 3, 4, 4, 2, 4, 4, 4, 1, 0, 3, 4, 1, 1, 4, 4, 0, 4, 3, 4, 2, 2, 1, 1, 4, 2, 4, 3, 0, 0, 0, 3, 0, 3, 1, 0, 0, 2, 2, 2, 2, 2, 1, 4, 0, 4, 4, 1, 4, 4, 1, 3, 2, 4, 0, 0, 3, 3, 1, 1, 1, 2, 1, 0, 1, 2, 1, 3, 4, 0, 2, 3, 2, 4, 2, 3, 0, 0, 2, 0, 4, 4, 1, 0, 2, 2, 1, 3, 0, 4, 0, 3, 0, 3, 0, 2, 0, 4, 4, 1, 2, 3, 1, 0, 0, 0, 0, 0, 3, 0, 4, 0, 1, 4, 4, 0, 0, 0, 0, 2, 4, 3, 4, 2, 3, 4, 4, 1, 0, 1, 1, 1, 0, 3, 1, 1, 4, 4, 3, 2, 2, 3, 1, 3, 1, 2, 0, 4, 0, 0, 1, 4, 3, 3, 1, 3, 3, 4, 3, 2, 4, 2, 4, 2, 4, 1, 4, 0, 2, 0, 3, 1, 2, 4, 0, 4, 1, 3, 0, 0, 2, 0, 4, 0, 4, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 3, 2, 0, 3, 4, 0, 4, 2, 2, 2, 4, 2, 4, 2, 0, 0, 1, 3, 4, 4, 0, 3, 1, 4, 2, 2, 2, 0, 2, 2, 3, 2, 4, 1, 1, 2, 1, 4, 2, 1, 2, 2, 4, 4, 4, 2, 0, 2, 4, 2, 2, 1, 4, 1, 4, 2, 0, 2, 4, 3, 2, 1, 0, 2, 3, 0, 2, 1, 4, 0, 0, 3, 4, 4, 1, 2, 0, 3, 1, 4, 0, 1, 3, 0, 4, 0, 1, 3, 2, 4, 4, 4, 1, 0, 1, 4, 4, 1, 2, 1, 3, 4, 1, 1, 4, 0, 3, 3, 0, 3, 3, 0, 3, 0, 2, 0, 0, 2, 1, 4, 3, 0, 1, 3, 4, 3, 2, 0, 4, 0, 3, 4, 4, 0, 2, 3, 4, 2, 3, 1, 3, 0, 0, 2, 0, 0]
pubkeycol1444 = [1, 0, 4, 0, 3, 4, 0, 1, 1, 2, 4, 2, 4, 3, 2, 1, 3, 2, 2, 1, 3, 4, 2, 3, 2, 4, 0, 2, 0, 2, 0, 0, 4, 4, 3, 0, 3, 3, 4, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 3, 3, 1, 1, 4, 1, 1, 4, 1, 0, 3, 4, 2, 0, 1, 3, 4, 1, 3, 4, 3, 2, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 2, 0, 4, 2, 3, 0, 1, 4, 0, 4, 4, 2, 3, 1, 0, 2, 4, 3, 4, 2, 3, 1, 0, 3, 4, 0, 4, 0, 4, 1, 4, 4, 1, 4, 2, 3, 3, 1, 2, 0, 4, 1, 2, 0, 4, 3, 4, 4, 1, 0, 4, 1, 3, 2, 4, 1, 0, 4, 0, 3, 0, 0, 4, 0, 0, 3, 0, 3, 1, 1, 2, 2, 1, 1, 1, 1, 4, 4, 3, 4, 0, 2, 2, 0, 3, 4, 0, 1, 0, 2, 2, 3, 0, 0, 4, 3, 1, 1, 2, 4, 3, 4, 4, 3, 3, 0, 1, 2, 3, 0, 0, 4, 1, 2, 4, 4, 2, 3, 4, 3, 2, 1, 0, 4, 1, 3, 4, 0, 1, 3, 1, 2, 4, 4, 0, 1, 3, 3, 1, 2, 1, 2, 1, 4, 2, 1, 3, 2, 3, 1, 0, 2, 4, 1, 1, 3, 3, 2, 1, 4, 4, 2, 4, 2, 0, 1, 4, 2, 2, 2, 3, 1, 3, 4, 0, 1, 0, 2, 3, 3, 1, 4, 2, 0, 3, 3, 0, 0, 2, 2, 0, 2, 2, 3, 4, 1, 0, 1, 3, 4, 2, 3, 2, 0, 0, 1, 2, 2, 2, 2, 4, 3, 0, 4, 1, 2, 2, 2, 0, 1, 0, 1, 2, 3, 3, 4, 2, 1, 3, 2, 1, 3, 3, 4, 4, 4, 3, 0, 2, 0, 3, 3, 0, 3, 3, 3, 2, 0, 0, 3, 0, 1, 0, 2, 0, 1, 2, 0, 2, 4, 0, 3, 3, 1, 0, 1, 1, 0, 4, 4, 0, 3, 2, 1, 3, 4, 2, 1, 4, 0, 0, 1, 1, 0, 2, 4, 2, 2, 2, 2, 3, 3, 1, 3, 0, 2, 0, 3, 0, 0, 2, 4, 4, 0, 1, 0, 4, 4, 1, 3, 1, 0, 1, 2, 0, 4, 1, 4, 2]
pubkeycol1445 = [0, 0, 1, 2, 0, 4, 4, 0, 3, 4, 4, 1, 1, 0, 4, 4, 3, 2, 1, 2, 1, 3, 1, 0, 2, 1, 1, 1, 3, 1, 0, 0, 0, 2, 1, 4, 4, 2, 3, 1, 4, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 4, 2, 0, 0, 2, 2, 0, 3, 3, 4, 2, 1, 1, 1, 0, 1, 2, 0, 0, 3, 0, 3, 3, 0, 0, 0, 2, 4, 2, 3, 0, 3, 4, 4, 0, 0, 0, 3, 0, 0, 0, 1, 3, 3, 1, 1, 4, 1, 4, 2, 3, 1, 4, 2, 3, 2, 3, 2, 2, 3, 2, 0, 3, 2, 3, 1, 4, 0, 4, 4, 3, 0, 1, 2, 0, 3, 4, 4, 2, 1, 4, 2, 3, 2, 4, 3, 3, 1, 4, 2, 0, 4, 1, 3, 2, 3, 0, 1, 3, 1, 2, 1, 2, 1, 3, 1, 3, 0, 0, 4, 1, 1, 1, 1, 1, 4, 0, 3, 2, 2, 0, 0, 2, 0, 3, 0, 3, 0, 2, 1, 0, 1, 1, 4, 2, 0, 1, 4, 1, 4, 1, 4, 2, 1, 0, 4, 3, 1, 1, 0, 1, 1, 1, 1, 0, 4, 1, 0, 0, 3, 4, 2, 3, 4, 1, 4, 4, 2, 2, 1, 2, 1, 3, 2, 4, 4, 1, 1, 1, 1, 1, 4, 3, 2, 4, 3, 3, 1, 1, 1, 3, 0, 0, 3, 0, 2, 1, 4, 3, 3, 4, 3, 2, 1, 1, 3, 2, 4, 4, 0, 1, 0, 2, 3, 2, 3, 1, 4, 3, 3, 4, 3, 0, 3, 2, 2, 4, 2, 3, 0, 3, 2, 1, 2, 0, 4, 1, 1, 1, 2, 0, 3, 4, 1, 3, 3, 4, 3, 1, 1, 3, 0, 2, 1, 2, 4, 0, 2, 3, 3, 3, 1, 2, 4, 1, 3, 1, 3, 0, 2, 1, 3, 1, 2, 2, 4, 1, 4, 1, 3, 0, 1, 2, 4, 1, 4, 3, 0, 1, 0, 4, 2, 0, 2, 2, 0, 2, 2, 2, 3, 3, 0, 0, 0, 1, 3, 1, 4, 3, 3, 2, 0, 3, 1, 1, 1, 3, 2, 4, 2, 3, 2, 0, 4, 1, 2, 4, 3, 3, 1, 0, 2, 2, 0, 1, 2, 1, 0, 4, 4, 3, 4, 0, 3, 3, 1, 3]
pubkeycol1446 = [2, 4, 0, 4, 0, 3, 4, 4, 3, 3, 1, 3, 1, 4, 2, 0, 1, 2, 1, 1, 4, 2, 4, 1, 4, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 3, 2, 2, 1, 1, 1, 0, 3, 2, 1, 3, 1, 4, 4, 0, 4, 3, 0, 3, 1, 0, 4, 0, 2, 4, 3, 1, 0, 3, 3, 0, 2, 0, 3, 3, 3, 0, 1, 3, 1, 1, 2, 2, 1, 4, 4, 2, 1, 0, 4, 2, 1, 2, 1, 0, 4, 2, 0, 4, 0, 3, 0, 1, 3, 4, 2, 4, 0, 4, 3, 4, 3, 2, 0, 0, 0, 1, 2, 2, 3, 4, 3, 4, 2, 1, 3, 2, 1, 4, 0, 2, 4, 2, 1, 0, 1, 2, 4, 1, 4, 4, 2, 2, 3, 1, 1, 4, 0, 1, 1, 0, 1, 2, 0, 4, 4, 4, 1, 1, 2, 2, 0, 4, 3, 4, 1, 1, 2, 0, 2, 4, 1, 3, 1, 0, 1, 2, 0, 4, 0, 0, 1, 4, 4, 0, 1, 1, 2, 4, 2, 2, 4, 2, 0, 0, 3, 1, 3, 3, 1, 2, 1, 4, 3, 3, 1, 1, 3, 2, 4, 4, 3, 0, 0, 1, 1, 1, 2, 2, 4, 2, 1, 4, 0, 1, 4, 2, 1, 4, 3, 3, 1, 3, 1, 1, 4, 3, 1, 2, 2, 0, 2, 3, 2, 3, 1, 2, 4, 2, 4, 1, 4, 4, 1, 2, 4, 1, 4, 4, 1, 1, 2, 3, 0, 4, 0, 3, 0, 1, 3, 1, 1, 2, 3, 3, 4, 4, 1, 3, 4, 4, 1, 2, 1, 2, 2, 4, 3, 0, 4, 3, 2, 1, 1, 4, 4, 3, 1, 0, 3, 3, 1, 0, 4, 0, 2, 2, 4, 4, 3, 0, 3, 2, 0, 3, 2, 4, 3, 2, 2, 0, 0, 3, 0, 1, 0, 2, 3, 2, 3, 1, 1, 3, 2, 3, 2, 3, 3, 2, 4, 2, 3, 0, 1, 2, 1, 1, 4, 4, 2, 3, 0, 4, 4, 1, 1, 2, 1, 0, 0, 1, 0, 3, 0, 4, 4, 0, 1, 4, 4, 0, 2, 3, 1, 2, 2, 2, 0, 3, 2, 1, 3, 4, 0, 2, 3, 2, 4, 1, 2, 2, 0, 2, 1, 1, 3, 4, 4, 3, 0, 1, 3, 3, 1, 1]
pubkeycol1447 = [2, 1, 3, 2, 2, 2, 0, 3, 0, 2, 1, 3, 4, 4, 1, 1, 2, 1, 1, 0, 4, 4, 1, 2, 2, 0, 1, 1, 2, 3, 3, 0, 0, 0, 4, 1, 4, 0, 0, 0, 4, 0, 4, 1, 1, 0, 2, 1, 0, 2, 2, 4, 1, 2, 2, 3, 1, 3, 2, 0, 0, 4, 0, 4, 1, 1, 4, 3, 0, 2, 0, 1, 0, 1, 3, 3, 2, 1, 4, 1, 3, 0, 4, 0, 2, 1, 4, 4, 3, 4, 4, 3, 0, 1, 0, 1, 1, 3, 0, 0, 4, 4, 4, 2, 4, 4, 2, 0, 0, 0, 2, 1, 3, 0, 4, 4, 0, 0, 2, 3, 3, 3, 4, 2, 1, 3, 1, 0, 1, 1, 4, 4, 1, 2, 1, 3, 1, 2, 0, 0, 2, 4, 1, 4, 4, 2, 1, 4, 4, 0, 2, 4, 0, 0, 0, 3, 3, 3, 1, 4, 2, 1, 3, 2, 0, 4, 4, 0, 3, 3, 2, 4, 1, 3, 4, 0, 0, 4, 0, 0, 2, 0, 1, 1, 1, 3, 2, 2, 3, 1, 3, 0, 4, 4, 3, 3, 3, 4, 1, 1, 1, 1, 2, 2, 0, 4, 2, 2, 0, 3, 1, 2, 4, 2, 2, 4, 4, 0, 3, 0, 0, 3, 3, 0, 4, 4, 3, 2, 0, 0, 3, 3, 4, 0, 1, 1, 0, 2, 2, 4, 1, 1, 0, 0, 3, 3, 2, 2, 0, 1, 2, 3, 3, 3, 4, 4, 4, 0, 3, 2, 1, 1, 4, 1, 1, 0, 0, 1, 2, 3, 3, 4, 0, 0, 3, 0, 1, 3, 2, 1, 3, 3, 2, 2, 0, 0, 3, 4, 2, 1, 1, 3, 3, 3, 0, 4, 4, 0, 3, 2, 0, 1, 2, 3, 3, 1, 0, 3, 0, 1, 0, 1, 0, 2, 1, 3, 0, 1, 2, 2, 2, 3, 4, 3, 3, 4, 1, 1, 0, 2, 0, 3, 1, 2, 3, 3, 1, 2, 1, 2, 2, 4, 2, 0, 2, 2, 3, 0, 0, 3, 3, 3, 0, 1, 4, 3, 4, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 4, 3, 1, 0, 4, 4, 2, 2, 0, 4, 3, 2, 1, 1, 0, 2, 4, 2, 4, 2, 4, 3]
pubkeycol1448 = [1, 0, 1, 1, 1, 2, 0, 4, 1, 4, 4, 2, 3, 1, 3, 0, 2, 1, 0, 3, 2, 0, 1, 2, 3, 2, 1, 2, 3, 4, 1, 1, 1, 2, 2, 1, 2, 4, 3, 3, 3, 4, 4, 2, 3, 0, 4, 3, 1, 0, 3, 4, 0, 3, 1, 0, 1, 1, 3, 1, 2, 1, 1, 1, 1, 2, 3, 4, 3, 0, 2, 0, 1, 4, 3, 4, 1, 1, 1, 4, 1, 1, 4, 1, 4, 1, 2, 0, 0, 1, 0, 3, 0, 2, 3, 3, 3, 0, 0, 3, 2, 4, 2, 1, 3, 3, 0, 3, 2, 0, 4, 1, 3, 2, 4, 0, 4, 3, 2, 0, 2, 3, 4, 0, 1, 1, 0, 2, 4, 3, 2, 4, 0, 4, 2, 4, 4, 4, 1, 1, 1, 1, 2, 1, 4, 0, 0, 4, 0, 4, 0, 3, 3, 3, 4, 3, 0, 0, 3, 0, 2, 0, 4, 2, 4, 0, 0, 3, 4, 4, 3, 2, 2, 3, 4, 3, 3, 2, 2, 0, 2, 2, 3, 0, 3, 2, 4, 1, 4, 0, 0, 4, 2, 2, 1, 1, 3, 2, 0, 1, 2, 3, 1, 1, 4, 3, 0, 1, 1, 0, 4, 4, 1, 4, 4, 0, 2, 0, 2, 1, 1, 2, 4, 2, 4, 2, 4, 4, 1, 0, 4, 3, 4, 4, 4, 0, 1, 0, 3, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 4, 3, 4, 3, 2, 4, 4, 0, 2, 2, 0, 3, 0, 4, 0, 2, 0, 1, 3, 3, 0, 1, 0, 4, 4, 0, 2, 2, 1, 4, 3, 4, 0, 0, 4, 1, 3, 0, 4, 3, 4, 2, 0, 3, 3, 4, 0, 0, 3, 0, 1, 4, 3, 2, 4, 1, 2, 2, 1, 3, 0, 0, 1, 1, 0, 2, 1, 1, 3, 3, 4, 1, 0, 2, 0, 1, 1, 4, 3, 1, 3, 3, 0, 3, 1, 3, 4, 4, 0, 4, 4, 3, 0, 0, 4, 1, 4, 4, 3, 0, 3, 0, 0, 3, 1, 4, 2, 1, 4, 3, 1, 2, 3, 1, 3, 0, 2, 2, 0, 3, 4, 3, 0, 1, 2, 2, 4, 0, 4, 3, 1, 0, 3, 4, 0, 2, 3, 2, 1, 3, 0, 4, 4, 2, 0, 1, 0, 0, 2]
pubkeycol1449 = [3, 3, 2, 0, 4, 2, 3, 4, 2, 4, 0, 0, 2, 0, 1, 3, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 4, 0, 1, 2, 2, 0, 2, 3, 3, 1, 4, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 4, 3, 3, 3, 2, 0, 1, 4, 0, 4, 2, 1, 4, 3, 1, 0, 2, 2, 0, 0, 1, 3, 2, 2, 1, 1, 3, 3, 3, 2, 0, 3, 2, 3, 3, 4, 2, 3, 2, 1, 4, 4, 3, 2, 3, 2, 4, 1, 0, 3, 3, 0, 2, 0, 3, 3, 3, 4, 3, 4, 3, 1, 2, 0, 3, 4, 3, 1, 0, 4, 1, 0, 2, 1, 0, 3, 1, 4, 3, 0, 2, 4, 3, 3, 2, 3, 2, 0, 3, 2, 0, 3, 1, 4, 1, 1, 4, 2, 1, 4, 0, 2, 2, 2, 3, 1, 3, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 3, 1, 4, 4, 4, 4, 3, 3, 4, 3, 2, 1, 0, 3, 1, 4, 0, 3, 3, 2, 4, 1, 4, 1, 1, 1, 3, 2, 4, 4, 3, 1, 1, 3, 2, 0, 2, 4, 2, 2, 2, 4, 1, 4, 1, 3, 0, 3, 0, 4, 4, 2, 2, 0, 2, 2, 0, 3, 0, 0, 2, 1, 3, 0, 1, 0, 0, 4, 2, 2, 0, 1, 3, 0, 1, 4, 0, 3, 3, 0, 4, 4, 1, 2, 0, 4, 3, 0, 4, 3, 1, 4, 1, 2, 4, 3, 2, 4, 3, 0, 0, 4, 2, 4, 2, 4, 0, 2, 2, 2, 1, 2, 1, 1, 0, 4, 4, 4, 0, 4, 0, 4, 3, 1, 3, 4, 2, 3, 1, 1, 3, 3, 1, 4, 2, 3, 0, 3, 3, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 4, 1, 1, 1, 4, 0, 1, 4, 4, 4, 1, 1, 2, 1, 1, 4, 1, 2, 3, 3, 3, 0, 2, 0, 3, 1, 3, 3, 0, 2, 4, 2, 3, 0, 3, 3, 2, 1, 2, 3, 1, 1, 2, 0, 0, 3, 0, 3, 1, 2, 2, 4, 3, 4, 0, 3, 3, 1, 3, 2, 0, 0, 2, 4, 0, 4, 4, 4, 2, 2, 0, 2, 0, 1, 3, 2, 0, 4, 2, 4]
pubkeycol1450 = [3, 2, 3, 3, 4, 1, 3, 0, 3, 2, 0, 1, 4, 2, 2, 4, 3, 0, 3, 0, 4, 4, 3, 3, 1, 4, 2, 0, 0, 0, 4, 4, 0, 1, 3, 0, 2, 1, 4, 1, 2, 2, 1, 2, 4, 3, 0, 4, 3, 0, 0, 0, 1, 2, 1, 1, 3, 1, 2, 2, 3, 3, 1, 0, 1, 0, 3, 4, 2, 0, 0, 1, 4, 3, 4, 3, 2, 0, 3, 4, 0, 4, 2, 2, 2, 0, 3, 3, 1, 3, 1, 0, 0, 1, 0, 0, 2, 1, 1, 4, 2, 1, 2, 4, 0, 2, 4, 0, 4, 1, 0, 1, 1, 1, 4, 3, 2, 4, 0, 1, 1, 1, 2, 3, 4, 3, 4, 4, 2, 1, 3, 3, 0, 1, 1, 1, 4, 1, 0, 3, 1, 2, 4, 3, 3, 3, 2, 4, 4, 2, 1, 1, 2, 1, 3, 0, 3, 0, 1, 2, 4, 4, 4, 3, 0, 4, 2, 1, 4, 3, 0, 1, 4, 0, 0, 2, 0, 3, 2, 3, 2, 1, 0, 4, 3, 2, 3, 4, 2, 2, 1, 2, 2, 4, 2, 2, 4, 2, 4, 0, 1, 1, 2, 3, 2, 2, 1, 0, 3, 1, 4, 1, 3, 3, 3, 1, 0, 0, 4, 1, 1, 1, 3, 1, 2, 1, 0, 0, 3, 4, 4, 1, 1, 2, 3, 1, 3, 3, 3, 0, 3, 3, 4, 4, 0, 0, 2, 4, 0, 3, 3, 4, 2, 1, 1, 3, 4, 4, 2, 2, 3, 3, 1, 3, 0, 0, 1, 2, 2, 4, 1, 1, 0, 3, 4, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 4, 0, 1, 3, 0, 2, 2, 0, 4, 4, 0, 4, 3, 2, 3, 4, 2, 1, 2, 4, 1, 3, 3, 3, 4, 4, 3, 2, 1, 4, 2, 3, 4, 2, 1, 3, 1, 1, 4, 1, 2, 1, 3, 0, 4, 0, 0, 3, 3, 1, 3, 0, 2, 3, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 3, 3, 3, 2, 4, 1, 2, 1, 0, 4, 2, 1, 0, 4, 4, 2, 4, 0, 2, 2, 0, 3, 3, 1, 3, 0, 0, 3, 3, 3, 2, 3, 0, 4, 4, 2, 4, 3, 4, 1, 0, 0, 0, 3, 0, 1]
pubkeycol1451 = [0, 1, 2, 2, 3, 1, 0, 4, 2, 2, 2, 2, 4, 1, 1, 3, 1, 2, 2, 1, 2, 4, 3, 4, 0, 0, 2, 1, 0, 1, 1, 3, 3, 2, 4, 2, 1, 4, 2, 0, 3, 3, 4, 3, 4, 3, 2, 3, 4, 0, 3, 2, 4, 0, 1, 3, 2, 3, 3, 1, 2, 1, 4, 4, 2, 1, 2, 0, 0, 3, 2, 0, 0, 3, 4, 1, 0, 1, 0, 2, 2, 4, 2, 2, 2, 1, 3, 4, 3, 2, 1, 1, 2, 1, 3, 4, 0, 1, 4, 3, 4, 4, 0, 4, 0, 4, 4, 3, 0, 1, 0, 0, 1, 1, 2, 4, 2, 4, 4, 4, 2, 2, 2, 1, 4, 1, 3, 0, 3, 0, 4, 1, 4, 1, 0, 4, 2, 3, 4, 3, 1, 3, 1, 0, 0, 1, 4, 4, 4, 4, 0, 4, 1, 2, 3, 0, 0, 3, 2, 2, 4, 3, 1, 0, 2, 2, 4, 1, 0, 0, 3, 4, 1, 4, 2, 1, 2, 1, 4, 3, 0, 4, 2, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 3, 1, 0, 1, 3, 1, 4, 0, 4, 3, 3, 4, 2, 3, 4, 4, 4, 1, 4, 0, 2, 1, 1, 1, 4, 4, 4, 4, 2, 3, 0, 1, 1, 3, 2, 3, 3, 2, 1, 3, 4, 3, 0, 1, 0, 3, 3, 4, 4, 2, 1, 3, 2, 2, 1, 3, 2, 4, 4, 3, 3, 2, 1, 3, 1, 1, 1, 3, 4, 4, 1, 0, 4, 2, 1, 1, 0, 3, 1, 1, 2, 0, 2, 4, 2, 0, 1, 4, 0, 0, 1, 1, 4, 1, 3, 0, 3, 2, 2, 3, 4, 3, 4, 4, 1, 0, 3, 4, 3, 0, 1, 1, 3, 0, 2, 0, 4, 0, 3, 1, 4, 2, 0, 0, 1, 3, 0, 1, 1, 0, 2, 1, 4, 3, 4, 3, 2, 0, 3, 2, 1, 0, 1, 4, 4, 4, 0, 3, 0, 1, 3, 1, 1, 3, 3, 3, 0, 0, 0, 1, 2, 0, 3, 0, 1, 2, 2, 1, 4, 2, 3, 3, 2, 3, 4, 1, 0, 2, 4, 0, 4, 4, 3, 0, 4, 2, 4, 2, 4, 0, 4, 0, 0, 2, 3, 2, 4, 3, 2, 1, 2, 2, 2, 1, 3, 2, 0]
pubkeycol1452 = [2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 4, 3, 2, 4, 0, 1, 2, 4, 3, 1, 0, 1, 1, 3, 2, 0, 2, 0, 2, 3, 2, 2, 2, 0, 1, 2, 2, 3, 3, 1, 3, 0, 3, 3, 2, 3, 1, 1, 3, 2, 0, 0, 4, 2, 1, 4, 2, 4, 4, 0, 2, 2, 3, 3, 3, 1, 3, 0, 0, 4, 0, 1, 0, 3, 4, 0, 2, 0, 3, 1, 4, 4, 2, 0, 0, 0, 4, 2, 0, 4, 3, 1, 3, 0, 1, 1, 1, 2, 3, 2, 0, 0, 3, 0, 0, 4, 2, 0, 1, 4, 3, 3, 0, 4, 4, 4, 3, 3, 3, 0, 1, 3, 2, 0, 3, 0, 0, 3, 3, 0, 2, 3, 1, 2, 1, 3, 2, 4, 4, 3, 3, 1, 4, 4, 4, 1, 2, 0, 0, 3, 3, 0, 4, 1, 1, 3, 3, 4, 4, 2, 1, 1, 3, 4, 0, 1, 0, 2, 3, 1, 1, 2, 3, 2, 2, 3, 2, 0, 4, 1, 4, 0, 3, 3, 2, 0, 2, 3, 4, 1, 0, 4, 1, 4, 0, 2, 4, 0, 3, 1, 3, 0, 4, 1, 0, 4, 0, 4, 4, 4, 1, 1, 2, 3, 3, 1, 3, 2, 4, 2, 3, 4, 3, 4, 4, 3, 3, 3, 2, 4, 2, 1, 1, 1, 0, 0, 3, 3, 0, 2, 3, 2, 2, 4, 1, 3, 4, 3, 3, 3, 1, 2, 4, 3, 0, 0, 3, 0, 2, 4, 1, 4, 2, 1, 0, 3, 4, 2, 3, 2, 3, 4, 0, 0, 4, 2, 4, 0, 0, 0, 3, 4, 4, 3, 4, 3, 1, 3, 3, 3, 2, 0, 1, 4, 2, 0, 1, 2, 3, 4, 1, 4, 1, 4, 4, 1, 4, 4, 4, 4, 2, 3, 2, 4, 3, 1, 3, 1, 1, 0, 2, 4, 4, 2, 3, 2, 2, 3, 0, 2, 3, 3, 3, 3, 4, 0, 4, 1, 2, 2, 2, 1, 0, 4, 3, 0, 1, 4, 0, 3, 1, 0, 2, 4, 0, 0, 2, 2, 4, 0, 1, 4, 4, 1, 4, 0, 3, 4, 2, 1, 2, 3, 0, 4, 3, 0, 0, 2, 3, 1, 1, 3, 4, 4, 3, 0, 1, 2, 4, 2, 3, 1, 0, 3, 1, 2, 2, 0, 3, 4]
pubkeycol1453 = [4, 1, 4, 4, 1, 0, 3, 2, 3, 3, 4, 0, 4, 2, 4, 2, 2, 3, 2, 0, 4, 4, 3, 0, 3, 4, 1, 0, 4, 3, 2, 1, 2, 2, 0, 0, 3, 3, 4, 4, 2, 1, 4, 0, 0, 1, 0, 1, 4, 0, 4, 3, 3, 2, 3, 3, 0, 0, 4, 1, 4, 0, 4, 4, 4, 3, 4, 2, 2, 2, 3, 1, 4, 4, 4, 2, 0, 2, 0, 0, 1, 3, 3, 2, 1, 0, 1, 4, 1, 1, 2, 2, 3, 0, 3, 2, 4, 4, 2, 3, 3, 1, 4, 2, 1, 0, 1, 3, 2, 1, 1, 1, 4, 0, 4, 1, 4, 3, 0, 4, 3, 2, 2, 3, 2, 1, 2, 4, 2, 1, 1, 4, 4, 0, 3, 3, 3, 1, 0, 2, 3, 2, 4, 0, 4, 0, 3, 3, 4, 1, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 3, 4, 2, 1, 3, 2, 4, 3, 2, 0, 0, 1, 0, 3, 2, 0, 1, 3, 4, 0, 2, 4, 1, 1, 0, 2, 4, 2, 3, 4, 1, 3, 0, 3, 1, 1, 2, 4, 0, 2, 3, 4, 2, 1, 3, 2, 2, 0, 3, 2, 1, 4, 0, 1, 4, 3, 2, 2, 1, 0, 1, 2, 1, 3, 3, 2, 0, 4, 0, 0, 4, 4, 2, 1, 1, 1, 3, 2, 4, 2, 0, 3, 0, 4, 3, 0, 0, 3, 2, 3, 1, 0, 2, 0, 3, 2, 0, 0, 1, 2, 4, 3, 0, 4, 1, 1, 2, 3, 1, 1, 0, 4, 0, 2, 4, 1, 1, 0, 3, 1, 4, 2, 0, 0, 4, 2, 0, 2, 0, 2, 3, 2, 3, 4, 4, 2, 3, 3, 2, 3, 4, 3, 0, 4, 1, 4, 0, 0, 3, 2, 4, 0, 1, 0, 2, 4, 0, 4, 4, 2, 3, 1, 1, 0, 1, 1, 3, 2, 2, 1, 2, 0, 0, 2, 0, 3, 1, 3, 4, 1, 3, 0, 0, 1, 3, 1, 4, 3, 4, 1, 2, 3, 2, 4, 3, 1, 0, 0, 1, 3, 4, 4, 2, 0, 1, 2, 2, 0, 0, 1, 4, 3, 3, 4, 3, 3, 3, 3, 3, 1, 3, 0, 1, 1, 4, 2, 4, 2, 4, 2, 3, 4, 2, 0, 4, 4, 3, 1, 1, 2]
pubkeycol1454 = [0, 2, 3, 3, 0, 4, 0, 2, 2, 2, 4, 3, 1, 4, 2, 2, 4, 1, 1, 1, 1, 4, 3, 1, 4, 1, 3, 4, 2, 4, 4, 2, 0, 0, 3, 3, 4, 4, 2, 1, 3, 2, 2, 0, 0, 1, 2, 3, 1, 2, 0, 4, 2, 4, 3, 1, 3, 1, 4, 4, 0, 1, 0, 1, 1, 2, 4, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 3, 2, 4, 0, 4, 3, 1, 2, 3, 4, 3, 1, 3, 4, 4, 3, 1, 3, 3, 2, 0, 4, 3, 1, 1, 1, 1, 4, 0, 4, 2, 1, 3, 0, 0, 4, 1, 1, 3, 3, 0, 4, 2, 2, 1, 3, 3, 0, 3, 0, 3, 2, 0, 4, 2, 0, 3, 2, 0, 0, 4, 2, 1, 4, 1, 2, 1, 3, 1, 4, 2, 3, 0, 2, 0, 4, 2, 4, 2, 4, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 0, 4, 3, 3, 4, 2, 1, 0, 3, 0, 0, 2, 4, 0, 3, 1, 2, 1, 0, 2, 3, 2, 1, 1, 1, 1, 3, 0, 2, 0, 4, 4, 3, 3, 2, 2, 3, 4, 0, 4, 4, 3, 1, 3, 4, 4, 4, 4, 3, 1, 0, 1, 3, 3, 3, 3, 0, 4, 2, 2, 1, 2, 0, 4, 4, 2, 1, 2, 0, 2, 0, 3, 4, 2, 2, 0, 3, 0, 0, 3, 3, 1, 4, 0, 1, 3, 1, 0, 2, 4, 1, 3, 1, 4, 4, 2, 3, 1, 4, 2, 4, 1, 2, 3, 2, 2, 2, 2, 1, 4, 1, 0, 4, 3, 4, 2, 4, 3, 0, 3, 2, 4, 4, 1, 2, 2, 3, 2, 4, 4, 0, 3, 4, 4, 0, 4, 1, 0, 2, 2, 2, 3, 3, 1, 4, 0, 3, 3, 2, 2, 3, 3, 4, 3, 2, 1, 2, 4, 0, 4, 2, 2, 3, 2, 0, 2, 0, 4, 2, 0, 2, 2, 3, 0, 3, 0, 2, 3, 2, 3, 0, 0, 4, 4, 0, 2, 0, 2, 0, 3, 1, 4, 2, 2, 0, 1, 0, 3, 0, 3, 3, 2, 3, 3, 2, 3, 2, 4, 2, 3, 2, 2, 2, 1, 1, 1, 4, 3, 2, 1, 4, 1, 2, 3, 0, 3, 0, 4, 1, 4]
pubkeycol1455 = [2, 1, 4, 3, 4, 4, 3, 2, 0, 4, 3, 4, 2, 0, 3, 2, 2, 2, 3, 1, 1, 1, 2, 0, 3, 4, 2, 4, 1, 0, 0, 4, 1, 4, 4, 2, 2, 4, 3, 2, 3, 2, 0, 0, 0, 2, 2, 3, 1, 0, 4, 2, 1, 0, 1, 1, 3, 0, 4, 1, 3, 4, 3, 1, 0, 4, 2, 1, 2, 3, 0, 0, 2, 3, 3, 4, 3, 0, 4, 2, 4, 2, 0, 3, 3, 2, 2, 4, 0, 3, 3, 1, 1, 0, 2, 2, 0, 2, 4, 1, 1, 1, 1, 1, 0, 1, 1, 3, 4, 0, 3, 0, 3, 4, 3, 0, 1, 0, 0, 4, 4, 3, 2, 3, 2, 4, 4, 2, 3, 4, 3, 1, 2, 4, 1, 0, 2, 0, 4, 0, 0, 0, 2, 0, 1, 4, 1, 1, 0, 2, 4, 3, 1, 3, 4, 2, 0, 2, 2, 3, 0, 2, 4, 1, 2, 1, 3, 4, 1, 4, 4, 4, 3, 2, 4, 2, 1, 2, 0, 4, 4, 0, 3, 0, 4, 1, 2, 0, 0, 4, 1, 0, 2, 4, 0, 4, 1, 3, 2, 4, 2, 4, 4, 0, 3, 3, 0, 2, 2, 4, 1, 2, 3, 2, 1, 3, 4, 3, 4, 4, 2, 1, 2, 1, 2, 2, 3, 3, 1, 4, 1, 3, 3, 2, 2, 2, 2, 4, 3, 1, 2, 1, 0, 2, 2, 0, 3, 0, 2, 0, 2, 2, 0, 3, 2, 2, 0, 0, 0, 0, 3, 0, 3, 4, 1, 2, 4, 0, 2, 2, 3, 3, 3, 3, 3, 3, 2, 1, 4, 4, 2, 4, 2, 4, 0, 3, 3, 0, 4, 4, 2, 4, 3, 2, 0, 2, 2, 0, 0, 3, 0, 3, 2, 3, 0, 0, 3, 1, 2, 3, 0, 3, 1, 1, 0, 0, 3, 0, 0, 3, 3, 3, 0, 2, 1, 3, 4, 3, 4, 2, 3, 2, 1, 2, 0, 1, 4, 0, 2, 1, 4, 4, 1, 1, 3, 1, 0, 2, 0, 3, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 3, 3, 3, 4, 4, 4, 2, 1, 1, 2, 0, 0, 2, 3, 3, 1, 0, 3, 2, 1, 0, 4, 3, 1, 2, 1, 2, 3, 4, 3, 0, 0, 4, 1, 4, 0, 3, 2, 0]
pubkeycol1456 = [3, 1, 2, 2, 1, 3, 3, 4, 2, 2, 0, 4, 0, 4, 1, 1, 0, 2, 3, 4, 4, 4, 4, 0, 4, 0, 0, 0, 2, 3, 3, 2, 1, 2, 0, 1, 0, 0, 0, 2, 4, 3, 0, 4, 2, 3, 3, 3, 4, 0, 3, 2, 4, 2, 4, 1, 3, 0, 0, 2, 3, 1, 0, 1, 0, 0, 4, 4, 3, 1, 3, 4, 3, 4, 3, 2, 1, 0, 2, 0, 2, 2, 4, 4, 2, 2, 2, 2, 4, 3, 2, 3, 4, 2, 2, 4, 3, 2, 4, 3, 2, 2, 0, 4, 2, 3, 2, 0, 3, 3, 3, 3, 0, 1, 4, 3, 4, 2, 4, 4, 2, 3, 2, 1, 0, 4, 2, 0, 3, 0, 3, 2, 4, 3, 4, 2, 4, 4, 2, 4, 3, 0, 2, 3, 3, 0, 3, 3, 3, 2, 3, 3, 3, 3, 2, 4, 2, 3, 1, 1, 3, 4, 3, 4, 4, 1, 3, 0, 2, 3, 1, 0, 4, 0, 2, 1, 4, 2, 0, 1, 4, 1, 0, 4, 1, 0, 2, 1, 2, 3, 2, 1, 3, 4, 2, 0, 4, 2, 0, 4, 1, 0, 2, 4, 2, 0, 4, 0, 3, 1, 0, 3, 0, 0, 4, 2, 2, 3, 1, 3, 0, 0, 0, 0, 0, 4, 2, 4, 3, 1, 0, 0, 1, 3, 1, 3, 3, 3, 4, 4, 1, 0, 0, 4, 4, 2, 2, 2, 2, 1, 1, 3, 1, 3, 0, 1, 3, 3, 3, 4, 2, 3, 4, 2, 0, 4, 3, 3, 1, 3, 1, 4, 2, 0, 2, 3, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 3, 4, 1, 0, 0, 0, 2, 4, 2, 0, 0, 1, 3, 2, 3, 3, 2, 1, 2, 2, 0, 2, 1, 1, 4, 3, 2, 2, 4, 2, 4, 0, 0, 2, 4, 0, 4, 0, 1, 0, 1, 4, 0, 3, 4, 1, 0, 4, 3, 4, 2, 2, 0, 4, 3, 2, 3, 1, 0, 4, 3, 1, 2, 0, 3, 0, 3, 0, 1, 2, 1, 3, 3, 4, 2, 3, 2, 2, 0, 1, 4, 2, 0, 1, 0, 3, 2, 2, 4, 3, 2, 1, 0, 0, 1, 2, 3, 2, 1, 1, 3, 2, 1, 0, 3, 2, 4, 0, 2, 1, 4, 2, 2, 1]
pubkeycol1457 = [2, 2, 1, 1, 2, 4, 0, 1, 3, 4, 2, 1, 0, 3, 2, 3, 0, 0, 2, 1, 4, 2, 3, 0, 0, 0, 3, 1, 0, 3, 1, 2, 4, 0, 1, 2, 3, 3, 3, 4, 3, 0, 4, 1, 0, 2, 4, 0, 0, 1, 2, 2, 4, 0, 4, 0, 2, 3, 2, 2, 2, 3, 3, 0, 2, 3, 1, 2, 2, 3, 0, 1, 3, 0, 1, 0, 3, 2, 0, 3, 4, 2, 1, 3, 0, 0, 2, 1, 4, 2, 1, 4, 4, 1, 2, 2, 4, 1, 3, 4, 4, 1, 4, 0, 0, 3, 4, 4, 3, 3, 1, 2, 0, 4, 2, 1, 2, 3, 0, 4, 3, 3, 1, 2, 4, 0, 0, 3, 1, 2, 3, 1, 3, 4, 3, 1, 4, 1, 0, 3, 2, 3, 0, 1, 1, 4, 3, 3, 2, 1, 2, 3, 4, 3, 0, 0, 2, 2, 3, 4, 1, 1, 0, 0, 2, 2, 2, 4, 4, 3, 1, 3, 1, 2, 2, 0, 3, 0, 4, 2, 2, 4, 2, 0, 3, 3, 0, 0, 2, 4, 2, 1, 1, 1, 3, 0, 0, 0, 1, 3, 2, 2, 0, 0, 1, 2, 1, 4, 3, 1, 2, 1, 0, 2, 0, 1, 4, 4, 2, 4, 2, 3, 1, 4, 4, 2, 3, 3, 0, 3, 1, 0, 0, 3, 1, 0, 3, 4, 3, 1, 4, 1, 1, 1, 4, 3, 0, 2, 0, 4, 0, 1, 3, 2, 3, 4, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 1, 2, 2, 4, 3, 4, 0, 4, 0, 0, 1, 4, 1, 0, 3, 2, 3, 1, 2, 3, 1, 2, 0, 1, 3, 2, 4, 3, 0, 2, 1, 0, 4, 4, 3, 3, 0, 2, 0, 3, 0, 1, 2, 1, 4, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 4, 4, 2, 3, 2, 1, 2, 3, 1, 4, 2, 0, 2, 0, 1, 0, 4, 1, 4, 0, 2, 4, 3, 2, 1, 4, 3, 1, 2, 3, 2, 1, 3, 1, 3, 0, 3, 4, 1, 3, 4, 1, 2, 2, 2, 0, 4, 4, 3, 2, 2, 2, 4, 4, 1, 1, 0, 4, 3, 0, 2, 1, 4, 3, 0, 2, 3]
pubkeycol1458 = [4, 3, 1, 3, 1, 4, 4, 4, 2, 0, 3, 1, 3, 3, 2, 4, 3, 4, 1, 3, 1, 4, 0, 4, 0, 1, 4, 2, 4, 2, 3, 4, 3, 4, 4, 4, 4, 0, 1, 0, 2, 2, 0, 0, 2, 0, 4, 4, 4, 0, 2, 1, 0, 4, 1, 1, 1, 0, 1, 1, 0, 0, 0, 4, 1, 4, 3, 4, 2, 1, 4, 1, 2, 3, 2, 4, 2, 2, 4, 4, 2, 4, 2, 0, 2, 0, 1, 3, 2, 0, 2, 2, 0, 2, 1, 3, 4, 4, 3, 1, 3, 0, 0, 3, 3, 2, 1, 2, 0, 3, 1, 2, 3, 1, 4, 1, 0, 1, 1, 4, 3, 0, 3, 1, 1, 4, 1, 4, 1, 0, 4, 3, 2, 3, 3, 2, 4, 3, 2, 2, 2, 0, 3, 3, 2, 1, 1, 3, 1, 4, 2, 2, 3, 3, 1, 1, 4, 4, 3, 3, 0, 4, 2, 1, 4, 0, 2, 3, 2, 1, 0, 4, 1, 0, 4, 3, 4, 0, 0, 3, 0, 1, 3, 4, 3, 4, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 4, 4, 4, 0, 3, 0, 3, 0, 0, 2, 0, 4, 2, 1, 1, 0, 1, 1, 4, 2, 0, 3, 2, 2, 3, 4, 4, 1, 0, 0, 3, 4, 0, 2, 3, 3, 2, 3, 4, 0, 2, 0, 4, 3, 3, 0, 3, 3, 3, 4, 0, 2, 3, 2, 0, 4, 0, 4, 0, 4, 1, 3, 4, 2, 4, 3, 0, 3, 4, 1, 4, 1, 0, 4, 1, 3, 3, 0, 2, 2, 0, 3, 3, 0, 2, 2, 1, 2, 4, 1, 4, 0, 4, 1, 1, 1, 0, 0, 4, 0, 4, 0, 0, 3, 3, 2, 3, 0, 2, 3, 2, 4, 2, 4, 2, 4, 2, 3, 1, 0, 2, 3, 3, 4, 2, 0, 3, 2, 1, 3, 0, 2, 2, 3, 0, 3, 3, 2, 0, 0, 2, 4, 3, 3, 1, 1, 1, 0, 3, 0, 1, 0, 4, 0, 2, 1, 4, 3, 3, 4, 2, 3, 1, 4, 1, 4, 0, 0, 4, 0, 0, 2, 4, 2, 4, 1, 1, 1, 0, 0, 1, 1, 2, 4, 3, 2, 3, 0, 2, 3, 0, 1, 3, 4, 1, 4, 4, 0, 3, 3, 2, 4]
pubkeycol1459 = [1, 3, 3, 0, 3, 4, 1, 4, 4, 1, 4, 1, 0, 3, 3, 4, 3, 4, 1, 2, 0, 3, 2, 0, 4, 0, 0, 3, 1, 3, 0, 2, 1, 1, 4, 2, 0, 0, 3, 2, 0, 4, 4, 0, 2, 2, 0, 3, 4, 0, 2, 3, 4, 3, 3, 4, 1, 3, 2, 3, 4, 3, 3, 1, 0, 2, 4, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 3, 3, 0, 1, 1, 3, 4, 1, 0, 1, 0, 2, 1, 4, 0, 2, 0, 4, 4, 3, 0, 1, 0, 3, 2, 0, 3, 3, 0, 2, 1, 4, 2, 1, 1, 3, 2, 4, 3, 4, 2, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 3, 2, 2, 1, 1, 3, 1, 1, 4, 3, 0, 0, 3, 2, 3, 4, 1, 0, 4, 1, 4, 4, 0, 0, 3, 4, 3, 4, 1, 3, 3, 0, 2, 1, 2, 2, 3, 3, 3, 1, 4, 2, 4, 2, 3, 4, 1, 2, 1, 4, 3, 4, 0, 3, 3, 3, 1, 3, 0, 3, 4, 1, 1, 1, 1, 4, 0, 4, 2, 1, 2, 2, 3, 3, 0, 2, 0, 0, 3, 1, 3, 4, 1, 0, 2, 1, 3, 4, 0, 0, 1, 4, 0, 3, 0, 3, 4, 1, 2, 0, 4, 1, 2, 2, 3, 4, 4, 1, 4, 3, 0, 4, 2, 2, 1, 4, 2, 4, 3, 0, 0, 2, 2, 4, 0, 0, 2, 0, 2, 1, 2, 3, 4, 0, 3, 4, 1, 0, 2, 1, 1, 0, 4, 1, 3, 1, 3, 1, 3, 4, 4, 1, 4, 0, 2, 3, 2, 1, 3, 0, 0, 2, 3, 1, 2, 4, 2, 0, 1, 2, 3, 3, 1, 0, 2, 4, 1, 2, 3, 0, 0, 3, 2, 0, 3, 2, 3, 2, 1, 4, 3, 0, 3, 1, 4, 2, 4, 1, 4, 4, 3, 4, 2, 4, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 3, 0, 4, 3, 0, 0, 0, 1, 2, 4, 2, 4, 0, 3, 2, 0, 4, 2, 4, 1, 4, 2, 1, 3, 3, 2, 1, 3, 1, 1, 0, 2, 2, 1, 4, 0, 3, 4, 0, 3, 2, 2, 0, 4, 1, 3, 4, 4, 1, 2, 0, 0]
pubkeycol1460 = [2, 2, 0, 2, 2, 2, 4, 1, 3, 3, 2, 1, 3, 1, 4, 3, 4, 2, 1, 2, 0, 3, 4, 2, 4, 0, 4, 3, 0, 1, 4, 2, 0, 2, 2, 3, 0, 0, 0, 2, 0, 4, 1, 4, 0, 3, 1, 3, 1, 2, 4, 3, 3, 4, 2, 0, 0, 2, 3, 0, 3, 0, 3, 4, 1, 4, 3, 4, 1, 1, 0, 0, 4, 1, 2, 0, 2, 2, 3, 2, 1, 2, 2, 2, 1, 4, 3, 1, 3, 4, 2, 0, 0, 4, 3, 0, 2, 4, 3, 2, 0, 4, 1, 1, 3, 1, 3, 4, 1, 2, 3, 3, 1, 4, 1, 2, 4, 0, 1, 2, 3, 4, 2, 0, 1, 0, 0, 0, 4, 3, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 3, 4, 4, 1, 2, 4, 3, 4, 1, 0, 0, 0, 2, 2, 2, 0, 3, 1, 0, 1, 1, 2, 4, 1, 3, 4, 4, 3, 2, 1, 0, 4, 2, 2, 4, 4, 2, 2, 0, 3, 0, 0, 4, 0, 2, 4, 0, 2, 2, 4, 4, 2, 1, 3, 1, 0, 1, 3, 3, 2, 0, 3, 4, 0, 4, 1, 4, 2, 3, 0, 0, 4, 3, 2, 4, 4, 0, 0, 4, 4, 4, 3, 3, 2, 2, 4, 0, 4, 4, 1, 4, 4, 4, 4, 2, 1, 3, 2, 3, 1, 1, 2, 4, 3, 2, 0, 1, 4, 4, 4, 0, 4, 4, 2, 0, 3, 1, 2, 1, 4, 0, 0, 4, 3, 4, 4, 4, 0, 4, 2, 2, 4, 3, 1, 4, 3, 0, 3, 2, 3, 0, 2, 4, 2, 2, 0, 1, 1, 4, 2, 0, 4, 3, 4, 4, 3, 4, 1, 4, 2, 1, 3, 2, 2, 3, 3, 0, 0, 1, 1, 1, 3, 2, 0, 4, 2, 4, 4, 3, 4, 0, 1, 4, 1, 4, 3, 1, 2, 2, 4, 4, 4, 3, 1, 3, 4, 3, 3, 1, 2, 2, 2, 2, 4, 2, 1, 4, 4, 1, 1, 1, 3, 2, 1, 0, 0, 1, 0, 4, 4, 3, 3, 4, 1, 3, 0, 3, 4, 2, 4, 4, 3, 0, 4, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 4, 0, 1, 3, 1, 3, 0, 4, 2, 4, 3, 1]
pubkeycol1461 = [0, 4, 0, 2, 4, 0, 1, 2, 4, 2, 2, 3, 3, 4, 0, 3, 4, 0, 2, 2, 4, 4, 0, 1, 0, 1, 4, 2, 0, 4, 3, 0, 0, 0, 0, 4, 0, 0, 3, 2, 0, 4, 2, 4, 0, 4, 4, 4, 1, 1, 3, 4, 4, 2, 4, 1, 1, 2, 3, 0, 1, 0, 3, 2, 3, 1, 4, 2, 4, 1, 3, 1, 3, 4, 0, 3, 0, 0, 3, 2, 0, 4, 0, 1, 2, 1, 0, 0, 2, 3, 2, 2, 0, 0, 0, 0, 1, 2, 4, 3, 0, 2, 1, 4, 0, 3, 1, 4, 1, 3, 4, 3, 1, 0, 4, 2, 1, 3, 1, 1, 2, 2, 0, 4, 2, 2, 1, 2, 0, 1, 1, 4, 3, 1, 2, 1, 2, 3, 1, 1, 4, 0, 3, 0, 2, 1, 4, 4, 4, 0, 4, 3, 3, 1, 4, 2, 3, 0, 3, 2, 4, 2, 2, 0, 0, 2, 1, 4, 4, 4, 4, 2, 0, 4, 1, 2, 1, 1, 0, 2, 3, 4, 3, 4, 0, 4, 0, 4, 3, 1, 3, 2, 3, 2, 0, 0, 2, 2, 0, 0, 2, 4, 1, 1, 0, 3, 3, 4, 0, 0, 4, 4, 4, 0, 2, 3, 1, 1, 3, 4, 3, 3, 2, 0, 2, 4, 0, 4, 0, 3, 0, 1, 1, 4, 2, 1, 1, 0, 1, 2, 2, 3, 4, 2, 4, 3, 1, 1, 0, 4, 4, 2, 2, 3, 1, 4, 2, 0, 3, 4, 0, 2, 0, 3, 3, 1, 2, 3, 2, 3, 2, 1, 1, 4, 4, 2, 3, 2, 1, 3, 1, 0, 0, 2, 1, 3, 3, 4, 2, 2, 3, 0, 4, 2, 1, 0, 3, 4, 2, 1, 2, 4, 4, 2, 3, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 3, 3, 0, 3, 3, 3, 0, 4, 2, 2, 4, 2, 1, 2, 2, 1, 3, 3, 3, 2, 2, 0, 2, 1, 1, 0, 0, 0, 3, 4, 0, 2, 0, 1, 0, 1, 4, 1, 3, 3, 3, 2, 4, 0, 2, 0, 3, 4, 2, 4, 2, 0, 4, 0, 3, 3, 2, 3, 2, 0, 1, 3, 4, 0, 0, 1, 1, 3, 3, 2, 3, 0, 2, 1, 4, 2, 2, 2, 1, 4, 3, 4, 4, 2, 0]
pubkeycol1462 = [1, 3, 2, 4, 0, 2, 4, 3, 1, 0, 4, 3, 0, 1, 2, 1, 4, 2, 2, 1, 3, 2, 4, 1, 4, 4, 1, 0, 0, 4, 4, 1, 3, 3, 3, 0, 0, 1, 3, 2, 1, 3, 2, 0, 0, 4, 4, 4, 0, 4, 2, 2, 1, 0, 0, 4, 4, 4, 3, 2, 1, 0, 3, 2, 1, 1, 4, 2, 3, 0, 3, 0, 2, 4, 0, 4, 3, 4, 4, 1, 2, 4, 1, 4, 1, 4, 0, 4, 2, 3, 4, 4, 3, 0, 2, 1, 0, 1, 1, 4, 0, 0, 4, 1, 2, 3, 0, 0, 1, 4, 1, 0, 0, 2, 3, 1, 1, 0, 1, 1, 4, 3, 4, 1, 1, 2, 4, 1, 0, 4, 0, 4, 4, 2, 0, 4, 1, 2, 4, 4, 4, 3, 1, 0, 2, 0, 0, 3, 2, 4, 0, 2, 3, 4, 0, 3, 0, 4, 4, 0, 2, 3, 0, 4, 4, 1, 4, 2, 3, 0, 3, 2, 2, 4, 0, 1, 0, 1, 2, 0, 4, 3, 1, 3, 0, 4, 0, 0, 1, 3, 1, 0, 1, 3, 1, 4, 0, 3, 2, 4, 0, 1, 4, 1, 1, 3, 1, 0, 1, 3, 3, 1, 2, 1, 3, 1, 4, 1, 3, 3, 1, 3, 0, 0, 0, 1, 0, 1, 1, 2, 1, 4, 0, 2, 3, 0, 3, 1, 1, 2, 2, 4, 0, 3, 0, 0, 1, 3, 1, 2, 1, 3, 2, 4, 0, 4, 1, 2, 0, 4, 4, 4, 1, 1, 0, 3, 2, 0, 4, 0, 1, 3, 0, 0, 1, 2, 2, 0, 3, 0, 1, 0, 2, 4, 3, 4, 4, 3, 0, 3, 2, 1, 3, 3, 0, 1, 4, 1, 2, 2, 4, 4, 0, 1, 1, 4, 4, 2, 0, 1, 3, 1, 2, 2, 0, 0, 3, 4, 4, 2, 2, 0, 1, 2, 0, 4, 4, 2, 4, 3, 4, 2, 1, 2, 4, 2, 0, 1, 4, 3, 2, 1, 4, 0, 0, 1, 4, 2, 2, 2, 3, 4, 3, 1, 1, 0, 2, 4, 2, 0, 1, 2, 3, 0, 0, 1, 0, 0, 1, 4, 4, 2, 1, 4, 2, 1, 4, 2, 1, 1, 4, 4, 1, 1, 0, 3, 0, 3, 0, 4, 0, 2, 4, 3, 2, 2, 1, 2, 3, 1]
pubkeycol1463 = [0, 0, 2, 0, 0, 3, 2, 0, 1, 0, 0, 0, 2, 4, 0, 3, 0, 4, 2, 0, 2, 2, 3, 4, 1, 4, 1, 2, 1, 0, 1, 2, 4, 4, 4, 0, 0, 2, 4, 2, 2, 0, 4, 3, 2, 1, 2, 2, 1, 2, 0, 2, 1, 4, 3, 4, 1, 3, 1, 1, 1, 1, 3, 1, 2, 2, 2, 3, 2, 0, 1, 3, 4, 0, 1, 0, 1, 2, 4, 1, 4, 2, 1, 0, 3, 3, 4, 3, 2, 4, 1, 1, 0, 0, 1, 4, 3, 4, 4, 3, 0, 4, 2, 1, 2, 3, 0, 2, 4, 3, 2, 4, 0, 3, 2, 1, 3, 4, 0, 1, 0, 0, 0, 2, 0, 0, 2, 4, 2, 1, 0, 4, 0, 1, 2, 0, 1, 0, 3, 3, 2, 3, 0, 3, 2, 3, 2, 2, 4, 4, 3, 3, 0, 4, 0, 2, 3, 1, 1, 1, 3, 3, 4, 0, 2, 2, 0, 1, 3, 2, 1, 0, 4, 4, 0, 1, 4, 3, 2, 3, 2, 4, 1, 1, 1, 4, 1, 2, 4, 2, 1, 4, 2, 1, 3, 4, 2, 1, 4, 3, 2, 0, 2, 2, 4, 4, 3, 0, 1, 4, 3, 2, 3, 3, 4, 2, 4, 0, 4, 0, 4, 1, 4, 3, 0, 0, 0, 2, 1, 1, 3, 3, 1, 3, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 4, 3, 2, 4, 3, 4, 2, 2, 0, 4, 4, 3, 2, 1, 2, 0, 0, 3, 2, 0, 4, 0, 1, 1, 2, 1, 4, 2, 0, 1, 2, 4, 4, 2, 1, 4, 4, 4, 4, 2, 0, 0, 3, 3, 2, 4, 4, 1, 0, 4, 2, 1, 0, 0, 1, 0, 4, 2, 1, 0, 4, 1, 4, 2, 1, 4, 0, 3, 3, 1, 3, 1, 3, 3, 0, 4, 0, 1, 1, 1, 3, 4, 0, 3, 0, 0, 1, 3, 4, 0, 1, 0, 3, 0, 2, 3, 4, 3, 1, 1, 1, 1, 3, 1, 2, 3, 4, 1, 3, 3, 2, 3, 2, 4, 1, 0, 2, 1, 0, 1, 1, 4, 4, 2, 4, 1, 4, 2, 1, 0, 1, 4, 0, 1, 4, 3, 0, 0, 1, 4, 2, 3, 2, 0, 2, 2, 0, 4, 1, 2, 4, 3, 4, 3, 2, 0]
pubkeycol1464 = [3, 1, 1, 1, 4, 2, 0, 0, 0, 3, 0, 2, 1, 2, 1, 1, 0, 1, 0, 4, 3, 1, 3, 3, 0, 1, 2, 3, 0, 4, 0, 4, 3, 1, 4, 1, 3, 0, 4, 1, 2, 3, 4, 2, 1, 0, 2, 4, 3, 0, 3, 0, 2, 4, 1, 1, 1, 4, 4, 3, 2, 4, 3, 1, 1, 4, 1, 3, 4, 1, 2, 2, 3, 4, 0, 2, 4, 1, 0, 3, 2, 1, 2, 0, 4, 3, 4, 1, 3, 3, 2, 2, 2, 2, 2, 3, 0, 3, 4, 0, 0, 3, 1, 2, 3, 1, 2, 3, 1, 1, 3, 1, 2, 3, 4, 0, 0, 0, 1, 2, 0, 4, 0, 4, 2, 3, 3, 2, 1, 0, 1, 0, 0, 4, 0, 3, 1, 1, 2, 4, 0, 2, 3, 1, 1, 2, 0, 3, 2, 0, 2, 2, 3, 4, 4, 2, 0, 3, 0, 1, 1, 0, 0, 2, 3, 1, 3, 0, 2, 1, 2, 2, 3, 2, 4, 0, 0, 0, 1, 1, 1, 2, 3, 1, 1, 1, 1, 4, 2, 0, 4, 4, 3, 0, 4, 0, 3, 2, 0, 4, 1, 3, 1, 4, 0, 4, 0, 0, 2, 1, 4, 2, 3, 4, 3, 4, 4, 4, 0, 2, 0, 2, 0, 2, 3, 4, 4, 4, 3, 3, 4, 0, 0, 3, 3, 3, 3, 4, 2, 0, 4, 3, 2, 3, 1, 0, 2, 1, 4, 4, 0, 4, 4, 2, 1, 0, 2, 4, 0, 0, 1, 2, 1, 2, 3, 4, 0, 3, 2, 2, 4, 1, 0, 3, 4, 2, 0, 1, 1, 4, 3, 2, 1, 3, 3, 2, 2, 2, 0, 1, 4, 0, 1, 0, 0, 3, 2, 3, 2, 0, 2, 2, 1, 3, 0, 2, 1, 0, 3, 3, 1, 4, 1, 0, 4, 3, 0, 2, 4, 3, 4, 1, 2, 4, 2, 0, 2, 1, 3, 4, 1, 1, 0, 0, 1, 3, 3, 0, 2, 1, 3, 0, 2, 4, 0, 3, 3, 0, 3, 4, 0, 4, 4, 3, 3, 2, 4, 3, 1, 2, 0, 3, 2, 3, 0, 0, 4, 0, 4, 0, 1, 3, 1, 2, 0, 3, 1, 4, 4, 4, 1, 2, 3, 1, 1, 0, 4, 0, 3, 4, 1, 1, 3, 2, 3, 0, 2, 4, 3, 2]
pubkeycol1465 = [4, 0, 3, 4, 1, 4, 3, 0, 0, 0, 0, 1, 4, 0, 1, 2, 1, 3, 0, 2, 3, 2, 3, 0, 0, 2, 3, 1, 1, 4, 1, 0, 3, 3, 3, 3, 1, 1, 3, 3, 0, 1, 0, 4, 2, 0, 1, 2, 0, 1, 0, 4, 3, 0, 2, 4, 2, 2, 4, 3, 1, 0, 1, 2, 3, 4, 2, 0, 2, 0, 4, 1, 0, 4, 0, 4, 1, 1, 4, 0, 1, 3, 3, 3, 0, 4, 3, 1, 3, 3, 4, 3, 3, 3, 4, 3, 1, 2, 0, 0, 3, 0, 0, 3, 4, 3, 4, 3, 3, 4, 4, 1, 2, 0, 4, 4, 4, 4, 4, 4, 0, 4, 2, 2, 0, 4, 1, 3, 0, 3, 4, 2, 0, 4, 2, 3, 0, 2, 1, 4, 4, 4, 0, 0, 0, 1, 3, 4, 3, 1, 3, 4, 4, 2, 3, 0, 0, 1, 4, 0, 4, 4, 1, 1, 2, 4, 0, 3, 2, 0, 2, 3, 3, 1, 2, 4, 1, 3, 2, 4, 0, 3, 1, 0, 1, 3, 4, 2, 4, 0, 1, 1, 0, 0, 1, 1, 0, 4, 3, 3, 0, 0, 2, 2, 1, 2, 0, 4, 2, 0, 3, 4, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 4, 4, 3, 1, 1, 1, 0, 4, 3, 1, 0, 3, 4, 2, 2, 4, 0, 2, 0, 4, 4, 3, 2, 2, 4, 3, 1, 2, 1, 2, 1, 4, 4, 0, 3, 0, 4, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 4, 1, 0, 2, 2, 4, 2, 2, 2, 0, 2, 2, 1, 1, 0, 4, 3, 0, 4, 1, 3, 2, 1, 2, 0, 0, 1, 2, 4, 3, 2, 3, 4, 4, 1, 1, 2, 0, 2, 0, 3, 1, 1, 3, 0, 0, 3, 0, 4, 1, 3, 3, 1, 3, 4, 3, 1, 0, 3, 3, 1, 2, 1, 3, 0, 0, 4, 0, 1, 4, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 4, 3, 1, 3, 2, 4, 0, 2, 0, 0, 3, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 4, 3, 2, 4, 4, 4, 1, 4, 0, 1, 2, 3, 3, 2, 4, 2, 3, 1, 4, 4, 4, 4, 2, 1, 4, 4, 1]
pubkeycol1466 = [1, 4, 1, 4, 1, 4, 4, 4, 3, 4, 1, 0, 1, 4, 0, 1, 2, 1, 3, 3, 1, 4, 2, 2, 3, 3, 2, 3, 0, 1, 2, 2, 0, 4, 3, 3, 3, 4, 1, 1, 4, 0, 4, 1, 2, 1, 4, 0, 0, 1, 2, 0, 0, 3, 2, 2, 0, 3, 4, 2, 1, 1, 1, 4, 4, 2, 3, 4, 2, 0, 1, 4, 4, 2, 4, 0, 4, 2, 1, 4, 4, 4, 2, 1, 3, 4, 4, 0, 4, 1, 4, 4, 0, 3, 2, 1, 4, 4, 3, 2, 0, 1, 3, 0, 2, 3, 1, 1, 0, 0, 2, 1, 0, 1, 1, 4, 4, 1, 2, 2, 1, 2, 3, 1, 1, 4, 4, 4, 0, 0, 1, 4, 0, 0, 1, 2, 4, 2, 4, 2, 2, 4, 4, 1, 4, 2, 2, 3, 4, 4, 3, 4, 3, 4, 3, 0, 3, 1, 3, 2, 0, 3, 3, 2, 3, 0, 3, 2, 2, 4, 3, 2, 0, 3, 1, 2, 3, 1, 4, 2, 2, 4, 3, 1, 4, 0, 4, 1, 4, 2, 1, 3, 0, 3, 4, 4, 1, 0, 1, 4, 2, 1, 4, 0, 0, 2, 1, 1, 3, 0, 2, 1, 3, 1, 0, 3, 2, 0, 3, 0, 2, 2, 3, 0, 2, 3, 3, 2, 0, 3, 0, 1, 2, 1, 0, 0, 1, 2, 4, 4, 4, 1, 2, 3, 4, 0, 0, 4, 3, 4, 0, 0, 4, 3, 3, 0, 4, 2, 3, 0, 1, 3, 0, 3, 3, 1, 4, 2, 2, 2, 3, 1, 2, 0, 1, 0, 3, 3, 4, 2, 1, 0, 2, 3, 1, 0, 0, 2, 4, 3, 4, 1, 4, 2, 4, 1, 1, 4, 4, 0, 3, 4, 3, 0, 2, 3, 0, 2, 1, 1, 0, 2, 4, 2, 3, 0, 3, 3, 2, 1, 4, 0, 4, 2, 2, 3, 1, 2, 1, 3, 4, 2, 1, 3, 0, 4, 0, 3, 0, 3, 4, 0, 2, 0, 1, 2, 4, 4, 0, 2, 1, 0, 1, 3, 4, 3, 3, 2, 2, 3, 4, 0, 2, 0, 4, 3, 2, 0, 4, 2, 3, 2, 0, 3, 0, 4, 3, 3, 1, 0, 4, 1, 1, 0, 0, 3, 0, 2, 1, 4, 1, 4, 1, 3, 0, 2, 4, 3, 2, 2]
pubkeycol1467 = [2, 0, 3, 4, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 4, 4, 1, 2, 3, 2, 4, 2, 4, 2, 0, 1, 1, 0, 1, 1, 3, 4, 0, 3, 3, 3, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 3, 3, 2, 3, 4, 1, 2, 1, 3, 1, 4, 4, 2, 4, 3, 1, 4, 3, 2, 4, 3, 2, 3, 2, 0, 3, 2, 3, 4, 1, 2, 0, 0, 2, 1, 0, 4, 4, 2, 1, 3, 3, 4, 3, 1, 1, 3, 3, 3, 4, 3, 3, 1, 2, 4, 1, 3, 0, 0, 3, 3, 3, 0, 2, 2, 2, 4, 2, 1, 2, 1, 0, 1, 1, 1, 3, 3, 3, 0, 3, 1, 4, 0, 0, 0, 3, 3, 2, 3, 2, 3, 1, 2, 0, 2, 1, 1, 2, 4, 1, 3, 3, 3, 4, 2, 0, 3, 1, 4, 3, 0, 4, 0, 3, 0, 1, 2, 4, 0, 1, 4, 2, 2, 4, 2, 2, 2, 0, 2, 0, 1, 0, 4, 1, 4, 0, 1, 1, 4, 1, 2, 1, 2, 1, 4, 4, 1, 4, 2, 1, 4, 1, 3, 3, 4, 1, 3, 1, 0, 1, 3, 3, 3, 3, 0, 4, 0, 3, 3, 0, 1, 4, 0, 2, 0, 0, 2, 2, 0, 3, 2, 2, 1, 2, 1, 2, 3, 1, 2, 2, 2, 0, 3, 1, 3, 3, 0, 2, 3, 0, 2, 4, 1, 4, 0, 1, 3, 1, 1, 2, 3, 0, 1, 4, 0, 1, 0, 4, 2, 3, 2, 4, 4, 3, 2, 0, 4, 3, 2, 1, 2, 3, 3, 0, 3, 2, 0, 2, 2, 4, 3, 3, 1, 1, 2, 0, 3, 2, 1, 0, 3, 2, 0, 1, 3, 0, 3, 1, 4, 3, 3, 4, 0, 3, 1, 1, 4, 2, 1, 3, 4, 1, 0, 3, 3, 4, 3, 2, 3, 1, 4, 4, 2, 2, 1, 2, 3, 0, 3, 3, 1, 0, 4, 2, 0, 4, 0, 2, 4, 3, 4, 1, 1, 3, 4, 3, 2, 2, 3, 1, 1, 2, 3, 3, 1, 0, 4, 3, 4, 1, 3, 2, 2, 0, 0, 2, 1, 2, 4, 0, 2, 0, 0, 1, 0, 4, 3, 4, 3, 3, 3, 0, 0, 3, 1, 4]
pubkeycol1468 = [4, 2, 0, 1, 1, 2, 0, 3, 0, 3, 0, 0, 1, 2, 1, 3, 1, 0, 3, 0, 2, 2, 1, 0, 4, 1, 3, 2, 3, 0, 3, 0, 4, 1, 0, 2, 0, 4, 3, 3, 4, 3, 2, 0, 1, 1, 0, 1, 0, 2, 0, 3, 0, 0, 3, 1, 1, 0, 2, 1, 0, 4, 3, 0, 4, 3, 3, 3, 0, 2, 2, 4, 1, 1, 1, 0, 0, 4, 2, 4, 2, 1, 0, 4, 1, 0, 3, 4, 3, 1, 3, 3, 4, 0, 3, 2, 1, 4, 3, 4, 3, 1, 2, 2, 4, 1, 2, 2, 0, 4, 0, 2, 0, 0, 3, 1, 0, 4, 0, 1, 4, 1, 3, 4, 2, 4, 3, 3, 3, 2, 3, 2, 4, 2, 1, 3, 0, 1, 3, 2, 0, 0, 3, 1, 4, 1, 4, 3, 0, 1, 1, 0, 4, 4, 4, 1, 2, 4, 4, 0, 2, 3, 1, 0, 2, 2, 1, 4, 2, 3, 0, 4, 4, 0, 2, 4, 1, 4, 4, 1, 1, 3, 1, 0, 3, 3, 3, 0, 1, 2, 4, 2, 2, 4, 0, 3, 4, 3, 3, 3, 1, 1, 0, 4, 0, 0, 1, 2, 0, 0, 3, 1, 3, 0, 2, 0, 1, 0, 0, 3, 3, 0, 2, 2, 1, 3, 4, 4, 1, 1, 1, 2, 3, 4, 2, 2, 1, 0, 1, 0, 1, 1, 2, 4, 4, 3, 4, 1, 0, 4, 4, 3, 3, 4, 2, 1, 4, 3, 1, 1, 4, 1, 1, 0, 0, 0, 2, 0, 3, 1, 1, 1, 4, 1, 2, 3, 0, 1, 0, 3, 2, 2, 2, 2, 1, 1, 4, 0, 2, 2, 3, 1, 0, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 3, 2, 0, 4, 2, 1, 3, 4, 2, 1, 1, 1, 3, 0, 3, 1, 4, 3, 0, 3, 1, 4, 1, 2, 1, 3, 3, 2, 1, 0, 2, 2, 1, 3, 0, 2, 3, 1, 4, 2, 0, 1, 2, 4, 0, 3, 1, 1, 3, 4, 4, 3, 4, 0, 3, 1, 3, 2, 3, 4, 4, 2, 4, 0, 4, 4, 2, 2, 3, 4, 1, 2, 0, 1, 2, 3, 1, 3, 4, 3, 3, 2, 0, 3, 0, 2, 1, 2, 4, 0, 2, 3, 3, 1, 4, 2, 4]
pubkeycol1469 = [1, 2, 0, 4, 3, 1, 4, 0, 4, 0, 2, 2, 3, 0, 4, 3, 3, 0, 1, 3, 4, 4, 2, 1, 4, 0, 1, 0, 4, 1, 3, 1, 4, 4, 0, 1, 0, 4, 1, 4, 2, 2, 1, 3, 3, 3, 0, 3, 3, 4, 3, 0, 4, 2, 4, 3, 1, 1, 2, 2, 0, 2, 0, 1, 4, 3, 2, 3, 3, 0, 1, 3, 2, 4, 0, 0, 0, 1, 1, 1, 4, 4, 1, 3, 3, 0, 2, 3, 4, 3, 0, 4, 0, 3, 2, 2, 0, 0, 2, 4, 4, 4, 1, 3, 1, 2, 4, 2, 3, 1, 2, 0, 1, 3, 1, 3, 3, 2, 2, 3, 2, 4, 2, 4, 0, 4, 2, 0, 4, 3, 4, 3, 0, 2, 0, 1, 2, 1, 3, 4, 0, 0, 3, 1, 0, 2, 1, 2, 4, 1, 1, 1, 4, 3, 0, 4, 4, 4, 3, 3, 4, 1, 2, 2, 0, 1, 2, 2, 3, 4, 2, 2, 0, 3, 4, 4, 3, 1, 0, 2, 0, 0, 3, 4, 3, 4, 1, 4, 3, 3, 2, 2, 0, 2, 3, 1, 3, 4, 3, 0, 1, 0, 1, 2, 2, 3, 3, 0, 2, 3, 4, 3, 4, 0, 2, 4, 2, 1, 0, 1, 0, 1, 4, 3, 3, 4, 0, 1, 1, 2, 0, 1, 1, 0, 3, 3, 0, 1, 2, 3, 4, 0, 3, 3, 1, 0, 4, 4, 4, 0, 3, 0, 0, 4, 3, 4, 1, 2, 2, 2, 2, 1, 4, 1, 2, 3, 4, 2, 3, 2, 0, 0, 4, 1, 1, 2, 2, 1, 0, 0, 4, 2, 4, 2, 1, 0, 2, 2, 2, 0, 2, 3, 3, 3, 2, 2, 2, 2, 4, 3, 1, 1, 4, 2, 3, 1, 0, 2, 3, 3, 0, 2, 1, 3, 0, 4, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 3, 1, 3, 3, 4, 0, 1, 4, 1, 0, 2, 0, 2, 4, 3, 1, 2, 4, 4, 4, 1, 0, 2, 1, 3, 0, 2, 4, 0, 4, 3, 1, 1, 1, 2, 4, 1, 1, 4, 4, 2, 1, 2, 3, 0, 2, 3, 1, 4, 1, 0, 3, 4, 0, 4, 0, 1, 3, 3, 4, 2, 1, 1, 2, 4, 3, 1, 2, 3, 3, 0]
pubkeycol1470 = [3, 0, 4, 4, 1, 0, 2, 4, 2, 3, 4, 3, 4, 3, 0, 4, 0, 1, 4, 2, 4, 0, 2, 1, 1, 3, 4, 3, 2, 4, 3, 0, 1, 0, 1, 3, 2, 2, 3, 1, 3, 4, 1, 4, 4, 2, 2, 4, 1, 1, 3, 4, 3, 0, 2, 2, 1, 2, 0, 3, 1, 4, 2, 1, 2, 4, 4, 2, 0, 3, 1, 4, 3, 0, 0, 2, 3, 0, 1, 0, 3, 3, 1, 0, 1, 2, 1, 4, 2, 1, 3, 4, 0, 3, 0, 1, 0, 0, 1, 3, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 4, 1, 1, 0, 2, 3, 2, 2, 3, 3, 4, 0, 1, 2, 4, 0, 0, 0, 1, 3, 2, 2, 1, 1, 0, 3, 1, 1, 3, 1, 3, 0, 0, 2, 2, 0, 1, 4, 2, 4, 4, 0, 2, 2, 0, 2, 0, 1, 0, 4, 1, 1, 3, 2, 0, 0, 4, 3, 1, 0, 2, 0, 4, 3, 4, 3, 0, 0, 4, 4, 2, 1, 3, 1, 1, 0, 0, 1, 4, 4, 4, 4, 0, 4, 2, 1, 3, 0, 0, 2, 1, 0, 1, 1, 4, 1, 2, 3, 3, 3, 2, 2, 0, 3, 3, 4, 4, 4, 0, 2, 2, 2, 0, 3, 3, 3, 4, 3, 1, 4, 4, 3, 3, 0, 3, 4, 1, 4, 4, 4, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 4, 1, 2, 4, 2, 1, 3, 0, 1, 3, 1, 4, 0, 4, 1, 1, 3, 1, 1, 1, 4, 4, 0, 4, 3, 4, 0, 1, 3, 3, 2, 0, 0, 4, 0, 4, 3, 1, 4, 3, 4, 4, 1, 1, 4, 0, 0, 4, 2, 1, 0, 2, 1, 3, 3, 0, 3, 1, 0, 3, 4, 1, 2, 3, 2, 0, 2, 0, 1, 4, 0, 2, 4, 4, 3, 2, 2, 3, 4, 1, 4, 3, 1, 2, 0, 4, 2, 1, 2, 1, 0, 3, 4, 4, 1, 1, 3, 0, 2, 3, 2, 2, 1, 4, 2, 0, 1, 1, 2, 0, 2, 3, 3, 4, 0, 3, 4, 2, 2, 0, 0, 4, 2, 4, 3, 1, 4, 0, 3, 0, 1, 1, 0, 0, 1, 4, 1, 1, 3, 1, 4, 4, 2, 1, 1, 4, 3, 3, 1]
pubkeycol1471 = [0, 3, 3, 1, 1, 2, 3, 0, 4, 1, 2, 2, 3, 0, 2, 3, 0, 3, 0, 4, 0, 4, 4, 3, 2, 1, 0, 4, 4, 1, 0, 4, 1, 1, 0, 0, 1, 3, 2, 4, 3, 0, 1, 1, 4, 3, 4, 0, 4, 2, 2, 0, 0, 4, 3, 3, 2, 4, 0, 1, 1, 1, 0, 4, 4, 2, 2, 3, 4, 1, 4, 4, 1, 4, 4, 3, 0, 0, 4, 4, 1, 0, 1, 1, 4, 2, 4, 3, 1, 4, 3, 1, 0, 1, 0, 4, 2, 3, 4, 4, 0, 0, 0, 1, 2, 3, 1, 2, 4, 3, 1, 2, 0, 4, 1, 1, 0, 1, 4, 1, 0, 0, 0, 2, 0, 3, 3, 4, 1, 0, 1, 4, 4, 2, 0, 4, 4, 4, 2, 4, 3, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 4, 0, 4, 2, 4, 4, 3, 3, 0, 4, 0, 2, 3, 4, 2, 1, 1, 4, 4, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 4, 1, 4, 1, 4, 4, 0, 1, 4, 2, 0, 0, 4, 3, 1, 2, 0, 0, 4, 2, 0, 3, 1, 3, 0, 3, 4, 2, 4, 3, 4, 4, 4, 3, 4, 0, 0, 3, 2, 4, 1, 0, 1, 0, 3, 0, 4, 1, 0, 1, 3, 3, 1, 3, 0, 3, 3, 0, 4, 4, 4, 1, 4, 4, 1, 2, 2, 2, 3, 1, 0, 0, 0, 1, 4, 0, 0, 1, 1, 3, 4, 2, 3, 3, 4, 1, 0, 1, 4, 0, 3, 2, 3, 4, 1, 0, 2, 4, 2, 2, 2, 0, 3, 0, 2, 3, 4, 3, 0, 2, 1, 2, 1, 2, 3, 1, 4, 0, 1, 4, 4, 3, 1, 0, 3, 3, 2, 2, 1, 0, 4, 1, 3, 3, 3, 1, 0, 4, 0, 0, 2, 2, 3, 0, 3, 4, 2, 3, 3, 2, 4, 4, 0, 1, 3, 1, 4, 3, 4, 3, 2, 2, 4, 3, 0, 4, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 3, 4, 4, 3, 2, 2, 0, 4, 2, 3, 1, 0, 3, 4, 1, 3, 3, 4, 1, 0, 2, 1, 4, 0, 4, 2, 3, 3, 1, 2, 2, 1, 0, 4, 2, 0, 2, 1]
pubkeycol1472 = [0, 2, 0, 3, 2, 4, 4, 0, 1, 0, 0, 1, 2, 0, 4, 1, 2, 3, 1, 2, 3, 1, 1, 0, 4, 2, 4, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 2, 0, 4, 3, 2, 0, 3, 3, 1, 2, 4, 2, 4, 3, 2, 1, 2, 4, 2, 1, 3, 3, 0, 4, 4, 1, 3, 4, 4, 3, 1, 3, 0, 1, 2, 1, 3, 1, 1, 1, 4, 4, 1, 1, 3, 4, 4, 4, 1, 3, 1, 1, 1, 3, 0, 0, 1, 3, 2, 0, 3, 3, 1, 2, 4, 3, 3, 4, 3, 0, 1, 0, 3, 3, 1, 3, 1, 0, 0, 1, 1, 2, 4, 2, 1, 1, 4, 3, 0, 4, 1, 2, 3, 4, 1, 2, 0, 0, 3, 0, 0, 4, 0, 3, 4, 1, 3, 1, 3, 4, 1, 0, 2, 1, 3, 2, 0, 3, 3, 4, 1, 1, 1, 1, 3, 2, 0, 1, 0, 1, 0, 2, 2, 1, 3, 0, 2, 4, 2, 3, 2, 3, 0, 3, 2, 4, 1, 0, 0, 0, 4, 2, 2, 2, 4, 0, 1, 1, 2, 4, 2, 0, 4, 2, 2, 1, 1, 1, 0, 0, 4, 3, 2, 3, 0, 1, 2, 4, 3, 3, 3, 0, 3, 4, 1, 1, 3, 4, 3, 2, 2, 4, 1, 3, 2, 4, 1, 3, 1, 3, 2, 4, 3, 1, 2, 3, 3, 0, 3, 1, 0, 4, 0, 2, 2, 1, 3, 1, 2, 4, 1, 1, 0, 2, 0, 1, 2, 3, 2, 1, 1, 3, 0, 1, 1, 2, 0, 1, 0, 2, 3, 3, 3, 0, 1, 3, 4, 4, 1, 0, 4, 3, 3, 4, 0, 0, 3, 3, 2, 4, 2, 2, 0, 3, 0, 3, 2, 2, 1, 1, 0, 2, 2, 0, 3, 0, 0, 4, 3, 2, 0, 1, 4, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 4, 1, 1, 3, 2, 0, 0, 0, 0, 1, 4, 2, 0, 4, 2, 2, 2, 0, 1, 1, 4, 4, 1, 1, 1, 3, 1, 2, 3, 3, 2, 4, 0, 3, 3, 2, 4, 3, 3, 2, 2, 0, 0, 0, 2, 2, 1, 3, 2, 3, 1, 3, 4, 1, 3, 1, 2, 1, 3, 1, 2, 4, 2, 2, 3, 4, 1, 2, 4]
pubkeycol1473 = [3, 2, 3, 4, 0, 4, 2, 4, 1, 3, 2, 2, 0, 2, 2, 0, 4, 3, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 3, 3, 3, 2, 0, 1, 3, 3, 3, 3, 4, 0, 3, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 4, 4, 4, 1, 1, 4, 2, 4, 1, 0, 2, 4, 1, 2, 4, 3, 3, 1, 0, 4, 2, 3, 1, 2, 1, 3, 0, 1, 3, 1, 4, 1, 4, 1, 3, 3, 3, 2, 2, 4, 2, 2, 4, 2, 2, 2, 0, 2, 2, 0, 3, 2, 4, 1, 3, 2, 2, 1, 3, 2, 4, 4, 1, 0, 1, 4, 2, 3, 1, 3, 2, 1, 4, 3, 0, 0, 0, 3, 1, 4, 2, 3, 1, 0, 0, 4, 4, 2, 2, 2, 1, 3, 4, 0, 3, 0, 2, 4, 0, 4, 1, 3, 1, 1, 4, 2, 4, 1, 0, 1, 1, 2, 0, 1, 3, 1, 0, 0, 2, 4, 3, 0, 0, 1, 0, 3, 2, 2, 4, 0, 2, 3, 1, 1, 3, 1, 2, 3, 4, 1, 1, 3, 4, 3, 1, 3, 0, 1, 3, 1, 3, 4, 3, 0, 0, 3, 3, 0, 1, 0, 1, 0, 2, 4, 4, 0, 3, 1, 0, 4, 0, 2, 4, 4, 2, 2, 0, 3, 2, 0, 4, 4, 1, 1, 4, 2, 2, 0, 1, 3, 2, 2, 2, 1, 4, 0, 0, 3, 1, 0, 0, 1, 0, 2, 1, 4, 2, 0, 2, 4, 4, 0, 1, 3, 1, 1, 4, 2, 2, 0, 2, 4, 3, 0, 0, 0, 1, 3, 0, 3, 1, 3, 3, 2, 4, 2, 0, 3, 2, 3, 4, 2, 4, 4, 0, 2, 1, 2, 0, 3, 1, 3, 1, 0, 2, 4, 3, 3, 3, 4, 1, 4, 4, 4, 1, 4, 4, 2, 1, 4, 4, 4, 4, 0, 4, 2, 4, 3, 0, 3, 1, 2, 3, 3, 3, 1, 2, 4, 4, 1, 3, 1, 4, 4, 0, 0, 4, 0, 4, 2, 2, 4, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 4, 0, 2, 4, 4, 1, 4, 1, 4, 0, 2, 3, 0, 1, 3, 2, 4, 4, 1, 3, 1, 0, 1, 2, 3, 1, 4, 2, 1, 3, 4, 0, 1]
pubkeycol1474 = [0, 1, 2, 2, 2, 0, 4, 4, 4, 1, 2, 4, 1, 4, 1, 3, 1, 4, 1, 1, 2, 3, 2, 2, 0, 2, 4, 4, 2, 3, 3, 0, 3, 0, 2, 3, 1, 3, 1, 0, 4, 2, 3, 2, 1, 0, 1, 2, 2, 3, 0, 0, 4, 1, 1, 4, 0, 3, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 3, 2, 3, 0, 0, 3, 2, 2, 0, 0, 3, 3, 4, 4, 3, 4, 0, 2, 2, 3, 1, 0, 1, 1, 2, 0, 4, 4, 1, 0, 0, 2, 1, 3, 2, 0, 3, 0, 0, 1, 2, 4, 2, 3, 0, 4, 2, 1, 1, 1, 2, 4, 3, 1, 4, 0, 1, 1, 0, 3, 2, 2, 3, 1, 4, 3, 1, 1, 4, 4, 3, 1, 1, 0, 0, 1, 3, 3, 3, 1, 2, 1, 0, 3, 2, 1, 3, 4, 0, 2, 1, 4, 0, 3, 4, 4, 1, 3, 0, 2, 0, 2, 4, 4, 3, 2, 4, 2, 1, 3, 3, 0, 0, 0, 1, 1, 0, 1, 4, 4, 2, 1, 0, 2, 4, 3, 2, 4, 3, 0, 3, 1, 4, 4, 4, 0, 0, 4, 1, 3, 4, 1, 0, 0, 3, 0, 1, 2, 2, 0, 0, 3, 3, 4, 2, 3, 0, 2, 1, 4, 3, 1, 2, 1, 3, 0, 1, 3, 2, 3, 1, 3, 0, 0, 3, 3, 0, 0, 3, 4, 0, 1, 4, 0, 3, 1, 3, 0, 1, 3, 1, 0, 0, 0, 4, 3, 0, 2, 3, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 4, 3, 1, 3, 3, 3, 0, 4, 2, 2, 1, 0, 3, 2, 3, 2, 2, 3, 1, 0, 4, 0, 1, 0, 4, 2, 4, 1, 0, 0, 4, 4, 4, 2, 3, 1, 1, 4, 0, 4, 2, 3, 2, 1, 3, 2, 1, 2, 1, 4, 4, 4, 4, 2, 1, 2, 1, 4, 2, 0, 2, 3, 1, 1, 2, 1, 0, 0, 1, 3, 0, 0, 3, 2, 0, 4, 0, 3, 3, 4, 2, 1, 1, 4, 0, 4, 1, 1, 3, 3, 3, 1, 4, 0, 0, 0, 4, 4, 1, 3, 0, 3, 2, 0, 3, 1, 1, 4, 4, 2, 4, 1, 0, 0, 0, 4, 0, 1]
pubkeycol1475 = [0, 4, 4, 3, 3, 4, 2, 4, 1, 2, 2, 3, 4, 0, 4, 2, 1, 3, 2, 3, 1, 3, 1, 0, 3, 0, 4, 4, 3, 0, 3, 3, 2, 3, 1, 2, 0, 2, 4, 0, 0, 1, 0, 3, 1, 4, 1, 0, 0, 1, 2, 4, 3, 0, 2, 1, 1, 1, 3, 1, 0, 2, 3, 1, 3, 0, 2, 2, 4, 2, 4, 0, 1, 3, 3, 2, 3, 1, 2, 4, 2, 2, 4, 4, 1, 2, 0, 4, 2, 0, 0, 1, 3, 2, 4, 3, 2, 2, 0, 2, 2, 2, 1, 4, 0, 1, 2, 0, 1, 0, 2, 2, 3, 2, 1, 1, 4, 0, 4, 3, 2, 3, 2, 4, 4, 1, 0, 3, 4, 0, 2, 1, 1, 1, 2, 4, 0, 1, 1, 4, 1, 2, 4, 3, 1, 2, 3, 1, 2, 0, 2, 1, 2, 3, 1, 1, 3, 1, 1, 0, 4, 0, 3, 1, 0, 3, 2, 0, 1, 2, 4, 0, 1, 3, 0, 3, 2, 3, 0, 1, 1, 0, 0, 4, 3, 0, 1, 0, 2, 1, 3, 3, 1, 2, 1, 3, 4, 4, 2, 1, 2, 4, 3, 1, 0, 0, 3, 0, 2, 1, 3, 4, 2, 2, 0, 3, 0, 2, 4, 0, 3, 3, 3, 1, 2, 3, 1, 2, 2, 4, 0, 1, 4, 1, 2, 1, 4, 2, 3, 2, 2, 1, 2, 2, 4, 3, 3, 0, 4, 3, 4, 4, 0, 0, 4, 0, 1, 0, 4, 3, 1, 0, 3, 0, 1, 4, 4, 0, 0, 4, 2, 2, 3, 2, 2, 3, 0, 4, 4, 2, 4, 3, 0, 1, 0, 2, 1, 0, 2, 3, 0, 0, 0, 4, 1, 4, 0, 0, 0, 4, 1, 2, 1, 2, 1, 3, 2, 0, 0, 1, 4, 1, 2, 4, 4, 1, 3, 1, 2, 3, 2, 4, 0, 2, 4, 0, 3, 2, 3, 0, 4, 2, 2, 3, 3, 2, 1, 0, 1, 4, 1, 2, 1, 1, 3, 1, 2, 4, 2, 1, 2, 0, 3, 2, 3, 4, 0, 1, 0, 4, 4, 1, 1, 1, 2, 0, 3, 3, 4, 2, 0, 3, 4, 4, 4, 2, 3, 1, 4, 1, 2, 1, 4, 1, 2, 3, 1, 0, 1, 1, 0, 4, 0, 1, 2, 4, 1, 0, 2, 1]
pubkeycol1476 = [2, 0, 4, 4, 3, 0, 3, 3, 1, 1, 4, 3, 4, 2, 3, 1, 4, 1, 0, 4, 4, 2, 2, 4, 1, 4, 2, 3, 3, 1, 1, 3, 2, 0, 3, 0, 0, 1, 1, 3, 4, 3, 3, 1, 4, 1, 4, 1, 3, 0, 4, 3, 0, 3, 1, 3, 0, 2, 0, 3, 2, 0, 4, 0, 0, 3, 1, 2, 4, 1, 1, 2, 2, 4, 3, 2, 0, 0, 1, 4, 4, 3, 3, 4, 4, 3, 2, 0, 4, 0, 2, 2, 4, 0, 0, 1, 2, 0, 3, 1, 2, 1, 0, 1, 1, 1, 1, 3, 4, 3, 4, 0, 0, 4, 3, 4, 1, 3, 2, 2, 3, 1, 4, 3, 0, 1, 2, 0, 2, 0, 3, 2, 4, 4, 0, 4, 0, 3, 3, 0, 4, 0, 2, 4, 1, 4, 4, 2, 0, 3, 4, 1, 1, 4, 2, 3, 4, 3, 0, 4, 4, 2, 4, 0, 4, 0, 4, 3, 3, 1, 2, 3, 0, 0, 1, 2, 1, 2, 1, 3, 2, 3, 3, 3, 2, 1, 4, 2, 4, 2, 4, 0, 2, 0, 4, 1, 4, 3, 3, 1, 4, 3, 2, 4, 2, 1, 0, 1, 3, 2, 2, 2, 3, 2, 4, 0, 3, 1, 2, 3, 1, 2, 2, 2, 0, 2, 0, 1, 0, 3, 0, 4, 1, 2, 4, 4, 4, 3, 4, 0, 2, 2, 4, 3, 3, 1, 3, 3, 2, 1, 2, 1, 1, 2, 2, 4, 2, 3, 4, 1, 1, 1, 0, 3, 2, 2, 3, 4, 1, 4, 0, 0, 2, 0, 3, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 4, 3, 2, 4, 2, 0, 1, 2, 2, 3, 1, 4, 0, 4, 3, 3, 3, 2, 2, 0, 0, 1, 2, 4, 4, 4, 1, 4, 1, 1, 0, 4, 4, 4, 1, 0, 2, 0, 0, 4, 2, 1, 0, 2, 2, 0, 1, 4, 0, 4, 1, 3, 3, 1, 1, 0, 2, 1, 4, 0, 2, 1, 1, 3, 2, 2, 4, 4, 1, 1, 2, 1, 0, 1, 1, 4, 3, 1, 3, 0, 4, 2, 3, 4, 1, 2, 4, 2, 4, 1, 3, 0, 4, 4, 4, 0, 2, 1, 1, 0, 4, 4, 1, 2, 0, 1, 3, 3, 0, 2, 1, 2, 1]
pubkeycol1477 = [4, 4, 3, 2, 3, 0, 1, 4, 2, 2, 4, 4, 2, 2, 0, 1, 1, 4, 3, 3, 0, 3, 2, 2, 1, 0, 0, 1, 2, 0, 3, 0, 1, 0, 4, 4, 2, 1, 1, 2, 0, 2, 1, 3, 2, 4, 4, 0, 0, 4, 0, 1, 1, 1, 0, 0, 3, 4, 0, 2, 4, 2, 1, 1, 4, 1, 4, 1, 4, 0, 3, 0, 4, 2, 3, 2, 3, 4, 4, 3, 2, 0, 3, 0, 1, 4, 2, 1, 0, 4, 4, 3, 1, 2, 4, 0, 0, 2, 3, 4, 4, 1, 1, 4, 1, 2, 2, 3, 1, 1, 1, 1, 3, 0, 2, 2, 4, 1, 3, 4, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 3, 3, 0, 0, 4, 2, 3, 1, 0, 3, 4, 4, 4, 4, 3, 4, 3, 0, 1, 0, 0, 2, 4, 0, 0, 3, 1, 4, 4, 2, 4, 0, 4, 0, 4, 1, 2, 0, 1, 0, 2, 4, 4, 3, 1, 3, 0, 0, 4, 0, 2, 2, 3, 3, 1, 0, 2, 0, 0, 4, 3, 2, 1, 2, 0, 3, 4, 2, 2, 0, 0, 1, 0, 4, 1, 3, 1, 2, 4, 4, 0, 0, 4, 4, 4, 1, 1, 0, 1, 1, 2, 1, 2, 3, 4, 3, 0, 4, 2, 4, 4, 2, 1, 1, 2, 2, 0, 4, 1, 1, 4, 1, 1, 3, 2, 4, 2, 3, 1, 1, 2, 1, 2, 4, 1, 4, 1, 3, 2, 4, 3, 1, 0, 4, 4, 1, 0, 4, 1, 0, 3, 3, 3, 0, 0, 2, 0, 4, 2, 4, 3, 3, 1, 3, 2, 4, 3, 2, 4, 3, 1, 3, 2, 0, 1, 1, 0, 3, 2, 2, 3, 4, 2, 0, 0, 0, 3, 4, 1, 3, 1, 2, 3, 1, 3, 1, 3, 3, 2, 4, 1, 0, 4, 1, 0, 3, 3, 3, 2, 0, 3, 1, 0, 0, 4, 2, 1, 2, 3, 0, 1, 4, 1, 1, 1, 3, 3, 4, 3, 2, 2, 0, 4, 4, 4, 2, 3, 3, 3, 2, 4, 1, 2, 2, 3, 4, 1, 0, 3, 3, 3, 0, 1, 3, 4, 0, 0, 3, 1, 4, 4, 2, 3, 4, 0, 4, 0, 3, 1, 1, 0, 1, 0, 3, 0, 2, 3, 0, 1, 2]
pubkeycol1478 = [2, 3, 4, 1, 3, 3, 3, 3, 0, 2, 1, 0, 3, 2, 3, 2, 4, 3, 4, 3, 2, 2, 3, 3, 2, 2, 2, 1, 2, 3, 0, 1, 4, 4, 1, 1, 2, 0, 1, 1, 3, 4, 4, 2, 0, 1, 4, 0, 3, 3, 2, 1, 3, 4, 4, 4, 2, 1, 3, 3, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 4, 4, 0, 3, 3, 1, 3, 0, 3, 0, 4, 4, 3, 1, 2, 1, 0, 3, 1, 1, 1, 1, 4, 0, 3, 1, 1, 2, 4, 3, 2, 1, 3, 2, 1, 4, 1, 3, 4, 2, 0, 1, 3, 3, 4, 4, 3, 4, 1, 2, 4, 4, 1, 1, 0, 0, 3, 2, 3, 2, 0, 4, 0, 4, 1, 1, 0, 4, 1, 0, 2, 1, 0, 1, 2, 0, 4, 3, 1, 0, 1, 0, 1, 4, 4, 2, 2, 3, 4, 4, 4, 1, 4, 2, 1, 2, 4, 3, 1, 0, 3, 4, 1, 3, 0, 3, 2, 3, 0, 0, 4, 1, 2, 1, 4, 3, 2, 3, 0, 3, 3, 3, 3, 4, 3, 3, 2, 0, 1, 0, 0, 0, 0, 1, 3, 0, 3, 1, 3, 0, 2, 1, 0, 0, 4, 1, 1, 4, 4, 1, 3, 3, 1, 1, 4, 1, 2, 4, 4, 3, 0, 1, 3, 2, 4, 3, 3, 2, 2, 4, 0, 2, 2, 0, 3, 0, 3, 3, 3, 3, 2, 4, 1, 2, 0, 0, 4, 2, 2, 1, 4, 4, 0, 3, 1, 0, 4, 4, 3, 0, 3, 0, 0, 2, 4, 4, 3, 1, 0, 0, 2, 4, 3, 1, 0, 2, 4, 3, 4, 2, 0, 1, 1, 3, 4, 0, 0, 1, 0, 3, 1, 0, 1, 2, 1, 0, 2, 0, 4, 2, 3, 4, 2, 0, 0, 0, 4, 4, 1, 1, 3, 2, 1, 4, 0, 3, 2, 2, 0, 2, 0, 2, 3, 0, 3, 4, 2, 1, 3, 4, 0, 3, 1, 4, 1, 0, 0, 3, 4, 3, 4, 1, 3, 3, 0, 3, 1, 3, 1, 3, 4, 4, 4, 1, 3, 2, 1, 3, 3, 3, 2, 3, 1, 1, 0, 1, 0, 4, 2, 2, 0, 4, 0, 2, 3, 4, 3, 4, 4, 2, 0, 0, 3, 1, 2, 4, 3, 4, 4, 1]
pubkeycol1479 = [1, 0, 4, 2, 0, 1, 0, 3, 2, 0, 0, 4, 0, 2, 2, 2, 3, 2, 1, 4, 2, 4, 0, 0, 2, 0, 4, 2, 2, 3, 2, 1, 2, 3, 0, 2, 4, 1, 0, 4, 1, 3, 3, 0, 1, 4, 3, 2, 3, 0, 2, 2, 3, 2, 4, 0, 2, 1, 0, 0, 1, 2, 3, 4, 0, 3, 4, 0, 0, 3, 3, 3, 4, 1, 1, 2, 2, 1, 0, 0, 4, 1, 4, 1, 2, 2, 3, 0, 0, 1, 4, 4, 0, 4, 2, 2, 0, 0, 4, 3, 2, 3, 1, 4, 2, 2, 3, 3, 0, 0, 0, 3, 2, 3, 3, 0, 2, 1, 1, 1, 3, 1, 1, 1, 2, 3, 1, 1, 4, 2, 0, 1, 4, 4, 4, 1, 1, 1, 2, 0, 4, 3, 0, 0, 2, 1, 4, 1, 0, 4, 2, 4, 1, 4, 1, 2, 1, 0, 0, 3, 2, 3, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 3, 0, 0, 1, 2, 0, 1, 0, 2, 2, 4, 1, 0, 3, 0, 2, 0, 0, 4, 0, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 4, 0, 2, 2, 0, 3, 3, 4, 0, 4, 4, 2, 4, 1, 4, 4, 0, 0, 2, 0, 1, 0, 1, 2, 3, 1, 1, 2, 2, 2, 0, 1, 4, 0, 0, 3, 0, 2, 0, 3, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 3, 1, 4, 1, 1, 1, 2, 3, 4, 2, 3, 0, 2, 2, 3, 2, 0, 4, 1, 2, 4, 2, 1, 1, 2, 1, 2, 0, 1, 3, 2, 3, 3, 0, 0, 3, 3, 2, 1, 2, 2, 1, 1, 3, 1, 3, 1, 2, 1, 0, 1, 4, 1, 2, 0, 1, 0, 1, 1, 4, 2, 2, 0, 3, 0, 4, 2, 2, 1, 1, 0, 2, 2, 3, 1, 4, 1, 3, 3, 4, 0, 1, 3, 4, 2, 3, 0, 3, 1, 3, 1, 2, 1, 1, 0, 3, 1, 3, 1, 0, 3, 2, 3, 2, 0, 2, 0, 4, 4, 3, 2, 1, 4, 2, 0, 3, 3, 1, 4, 0, 4, 0, 0, 3, 3, 3, 3, 2, 4, 2, 2]
pubkeycol1480 = [0, 3, 2, 0, 4, 3, 4, 3, 3, 4, 0, 2, 3, 4, 4, 4, 0, 2, 2, 3, 2, 2, 3, 4, 3, 1, 0, 1, 3, 1, 4, 4, 3, 1, 0, 4, 0, 4, 3, 0, 2, 1, 2, 1, 2, 0, 4, 1, 4, 2, 2, 3, 1, 1, 4, 0, 1, 0, 4, 4, 4, 2, 0, 3, 2, 1, 1, 2, 3, 4, 4, 0, 1, 0, 2, 2, 4, 1, 0, 1, 3, 2, 1, 2, 1, 1, 2, 3, 4, 3, 1, 0, 1, 1, 3, 4, 0, 0, 0, 0, 1, 4, 1, 3, 3, 4, 1, 0, 0, 0, 2, 1, 0, 3, 1, 1, 1, 4, 0, 1, 3, 0, 0, 1, 2, 2, 1, 2, 3, 2, 2, 3, 3, 0, 2, 0, 4, 2, 3, 4, 0, 4, 1, 2, 3, 3, 3, 3, 3, 4, 1, 4, 1, 2, 1, 0, 3, 2, 0, 2, 2, 1, 4, 4, 0, 1, 3, 0, 3, 0, 2, 1, 3, 4, 3, 1, 0, 0, 4, 1, 2, 4, 0, 0, 3, 3, 2, 1, 4, 3, 0, 3, 3, 3, 4, 1, 1, 3, 3, 4, 2, 1, 2, 1, 1, 4, 4, 0, 4, 0, 4, 0, 0, 2, 3, 0, 4, 2, 3, 4, 3, 0, 0, 2, 4, 0, 4, 2, 4, 1, 4, 0, 2, 4, 1, 0, 4, 4, 0, 2, 4, 2, 0, 1, 4, 1, 4, 3, 2, 1, 2, 0, 1, 1, 1, 0, 1, 4, 3, 1, 0, 4, 0, 3, 0, 1, 2, 0, 2, 1, 3, 2, 0, 3, 3, 3, 0, 4, 0, 2, 4, 4, 0, 3, 3, 3, 1, 4, 4, 1, 3, 1, 2, 1, 0, 3, 2, 0, 2, 4, 0, 2, 1, 4, 2, 0, 4, 1, 4, 3, 4, 0, 1, 1, 0, 0, 4, 3, 2, 1, 3, 4, 4, 1, 0, 3, 3, 0, 0, 2, 4, 3, 0, 4, 4, 4, 3, 1, 1, 3, 0, 4, 3, 3, 3, 4, 3, 0, 4, 1, 1, 3, 4, 0, 1, 4, 0, 2, 4, 0, 3, 1, 4, 4, 3, 1, 1, 2, 1, 3, 4, 1, 1, 1, 2, 2, 4, 0, 0, 0, 4, 3, 1, 4, 1, 1, 2, 3, 0, 3, 0, 3, 3, 1, 1, 0, 2, 4, 4, 0]
pubkeycol1481 = [0, 3, 3, 2, 4, 0, 4, 3, 4, 3, 0, 4, 2, 2, 1, 3, 3, 2, 4, 4, 1, 4, 2, 0, 3, 3, 0, 1, 4, 2, 4, 1, 2, 3, 1, 1, 2, 4, 0, 2, 3, 0, 3, 4, 4, 0, 3, 0, 0, 0, 2, 4, 2, 0, 2, 0, 1, 1, 2, 4, 4, 1, 4, 2, 3, 4, 1, 0, 4, 3, 1, 4, 3, 4, 1, 1, 1, 2, 0, 0, 1, 1, 3, 2, 1, 3, 0, 2, 0, 2, 0, 2, 4, 4, 3, 3, 4, 2, 4, 3, 3, 3, 3, 3, 4, 0, 0, 4, 3, 1, 4, 4, 2, 2, 0, 4, 2, 3, 4, 1, 1, 4, 2, 3, 1, 4, 0, 3, 4, 1, 2, 2, 4, 3, 0, 3, 3, 4, 3, 0, 0, 2, 3, 4, 4, 4, 0, 4, 0, 1, 0, 0, 1, 4, 3, 1, 3, 0, 3, 3, 0, 4, 1, 1, 1, 4, 0, 3, 4, 4, 1, 2, 4, 2, 0, 0, 2, 1, 3, 1, 3, 4, 2, 4, 2, 2, 1, 4, 1, 0, 1, 2, 4, 0, 0, 1, 4, 0, 2, 0, 1, 4, 4, 2, 4, 3, 2, 1, 4, 2, 4, 4, 3, 1, 2, 1, 4, 1, 4, 4, 3, 2, 0, 3, 0, 0, 1, 0, 0, 2, 2, 3, 2, 1, 1, 0, 3, 2, 0, 4, 3, 2, 1, 4, 4, 1, 1, 4, 2, 1, 2, 3, 2, 0, 3, 4, 4, 0, 1, 3, 1, 1, 0, 0, 4, 0, 1, 1, 4, 2, 2, 3, 1, 0, 0, 4, 1, 4, 2, 0, 0, 2, 0, 0, 4, 1, 1, 4, 2, 1, 3, 3, 0, 2, 2, 2, 1, 3, 0, 3, 3, 2, 0, 2, 4, 4, 0, 2, 2, 3, 2, 2, 0, 0, 1, 3, 3, 3, 1, 1, 3, 4, 2, 0, 1, 4, 3, 1, 3, 0, 4, 1, 1, 3, 1, 2, 4, 0, 3, 0, 1, 3, 3, 0, 2, 0, 4, 1, 3, 0, 1, 1, 2, 4, 0, 0, 3, 0, 4, 0, 2, 3, 2, 1, 2, 0, 2, 0, 2, 0, 4, 3, 1, 2, 3, 4, 2, 2, 4, 1, 0, 2, 0, 2, 1, 4, 3, 3, 0, 1, 0, 3, 1, 1, 4, 3, 4, 3, 0, 0]
pubkeycol1482 = [1, 4, 4, 4, 2, 1, 3, 3, 3, 4, 3, 4, 0, 4, 1, 4, 3, 0, 3, 3, 2, 1, 2, 4, 4, 1, 2, 2, 1, 0, 0, 1, 2, 3, 0, 3, 3, 0, 1, 2, 4, 0, 0, 3, 2, 0, 3, 1, 0, 1, 2, 2, 4, 4, 3, 2, 2, 4, 4, 4, 4, 0, 4, 2, 3, 0, 1, 1, 1, 0, 4, 3, 2, 2, 3, 4, 0, 2, 2, 1, 4, 2, 1, 1, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 1, 4, 4, 1, 1, 4, 0, 0, 4, 2, 4, 0, 2, 3, 2, 3, 4, 3, 4, 0, 4, 4, 1, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 3, 0, 2, 4, 0, 1, 3, 2, 3, 4, 4, 0, 2, 3, 3, 4, 2, 1, 4, 1, 1, 3, 2, 1, 1, 4, 4, 1, 1, 4, 1, 4, 4, 1, 0, 4, 0, 2, 0, 0, 1, 2, 4, 2, 4, 2, 2, 1, 4, 2, 2, 2, 1, 0, 1, 1, 0, 4, 3, 3, 3, 0, 1, 4, 3, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 3, 3, 0, 1, 3, 1, 1, 4, 0, 0, 3, 3, 0, 3, 0, 1, 1, 3, 4, 2, 2, 4, 0, 0, 2, 3, 4, 1, 2, 2, 2, 2, 0, 4, 1, 3, 1, 3, 2, 0, 1, 2, 3, 4, 1, 3, 2, 1, 2, 1, 2, 3, 3, 3, 0, 2, 1, 2, 1, 4, 1, 1, 2, 0, 1, 3, 3, 0, 2, 1, 0, 4, 3, 4, 4, 2, 3, 1, 4, 1, 0, 4, 4, 1, 4, 2, 1, 1, 1, 1, 4, 4, 0, 0, 3, 3, 2, 4, 1, 3, 1, 3, 1, 0, 2, 0, 1, 2, 4, 0, 1, 1, 3, 2, 0, 1, 2, 0, 2, 4, 0, 2, 4, 0, 3, 1, 3, 4, 4, 2, 0, 4, 0, 1, 3, 0, 3, 4, 3, 2, 4, 0, 3, 0, 1, 1, 4, 4, 2, 4, 2, 1, 0, 0, 3, 3, 0, 4, 2, 4, 3, 4, 0, 2, 2, 1, 4, 2, 2, 1, 3, 4, 4, 2, 1, 2, 4, 3, 4, 2, 4, 4, 2, 1, 3, 0, 1, 3, 4, 4, 1, 2, 1, 0, 3, 2, 2]
pubkeycol1483 = [1, 1, 4, 4, 1, 0, 1, 2, 4, 2, 3, 3, 2, 2, 2, 3, 4, 4, 2, 1, 2, 0, 0, 3, 4, 1, 4, 3, 4, 4, 3, 3, 2, 4, 3, 1, 4, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 3, 2, 2, 3, 3, 3, 1, 1, 0, 3, 4, 2, 0, 0, 2, 3, 0, 1, 4, 4, 4, 2, 3, 3, 3, 3, 4, 2, 2, 2, 4, 0, 2, 4, 4, 0, 0, 3, 1, 4, 4, 3, 1, 2, 0, 4, 4, 3, 4, 2, 3, 2, 4, 4, 0, 4, 0, 2, 3, 3, 4, 4, 2, 0, 3, 4, 3, 3, 0, 4, 0, 0, 2, 2, 4, 4, 2, 2, 3, 1, 0, 4, 2, 3, 3, 2, 0, 1, 0, 1, 4, 3, 4, 1, 1, 2, 3, 4, 4, 2, 1, 3, 2, 0, 3, 1, 1, 2, 4, 2, 4, 3, 1, 1, 0, 2, 0, 0, 1, 2, 4, 0, 0, 4, 1, 2, 4, 1, 3, 0, 0, 0, 4, 1, 2, 1, 1, 0, 3, 2, 2, 1, 3, 0, 4, 0, 1, 2, 2, 2, 2, 0, 3, 2, 0, 4, 1, 3, 3, 2, 0, 3, 4, 4, 2, 4, 1, 0, 3, 0, 3, 2, 4, 2, 1, 1, 2, 4, 0, 1, 4, 4, 2, 3, 1, 3, 3, 3, 1, 4, 3, 4, 1, 3, 4, 3, 2, 2, 4, 3, 3, 1, 4, 1, 0, 4, 4, 2, 1, 4, 2, 1, 4, 4, 4, 3, 1, 3, 0, 3, 4, 4, 4, 0, 3, 1, 3, 4, 3, 4, 2, 1, 0, 3, 2, 4, 1, 1, 3, 4, 2, 4, 1, 4, 2, 4, 1, 1, 3, 3, 1, 2, 4, 3, 0, 3, 4, 4, 2, 1, 3, 3, 1, 2, 0, 0, 1, 2, 1, 3, 1, 0, 1, 2, 2, 4, 4, 1, 1, 1, 0, 3, 2, 1, 0, 0, 4, 0, 3, 3, 1, 3, 3, 3, 4, 0, 1, 1, 0, 4, 4, 0, 2, 2, 2, 0, 4, 2, 4, 3, 4, 2, 3, 4, 4, 3, 1, 0, 0, 0, 1, 2, 4, 3, 0, 3, 2, 4, 2, 3, 0, 4, 2, 4, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 4, 4]
pubkeycol1484 = [1, 0, 2, 2, 2, 4, 1, 0, 2, 1, 0, 4, 2, 2, 1, 0, 3, 3, 4, 4, 4, 3, 3, 1, 2, 1, 2, 0, 2, 2, 3, 3, 1, 2, 4, 3, 3, 2, 0, 4, 0, 3, 0, 4, 3, 2, 4, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 3, 3, 2, 2, 2, 0, 4, 3, 0, 2, 3, 3, 4, 1, 0, 3, 2, 1, 4, 1, 4, 4, 1, 0, 4, 4, 2, 2, 4, 3, 1, 1, 3, 1, 4, 0, 4, 4, 0, 1, 4, 4, 0, 2, 0, 3, 1, 0, 3, 3, 1, 1, 1, 1, 2, 3, 3, 1, 4, 2, 3, 2, 0, 3, 0, 1, 3, 4, 2, 3, 2, 4, 0, 2, 2, 3, 3, 1, 3, 4, 3, 1, 1, 3, 4, 3, 4, 3, 4, 0, 4, 1, 2, 0, 0, 2, 3, 0, 4, 1, 3, 3, 1, 1, 2, 3, 4, 1, 2, 2, 4, 2, 1, 0, 2, 4, 3, 4, 3, 0, 4, 0, 2, 3, 4, 1, 3, 0, 2, 1, 3, 0, 2, 0, 4, 0, 0, 0, 3, 2, 4, 2, 4, 0, 0, 3, 2, 0, 1, 1, 4, 2, 3, 2, 0, 1, 1, 0, 1, 2, 4, 2, 0, 2, 0, 1, 3, 2, 4, 4, 4, 1, 4, 3, 0, 4, 1, 3, 4, 4, 2, 4, 3, 1, 0, 4, 2, 2, 1, 1, 2, 1, 1, 1, 3, 3, 3, 3, 1, 3, 4, 4, 1, 1, 2, 4, 2, 1, 4, 0, 3, 0, 2, 3, 4, 4, 4, 0, 1, 2, 4, 3, 0, 2, 1, 1, 1, 4, 2, 2, 3, 1, 1, 4, 4, 1, 2, 3, 2, 4, 2, 4, 0, 4, 1, 0, 2, 3, 0, 0, 3, 4, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 3, 2, 2, 3, 3, 0, 2, 4, 4, 2, 2, 1, 0, 2, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 4, 0, 3, 1, 1, 4, 0, 3, 3, 0, 0, 4, 4, 2, 3, 1, 4, 3, 4, 0, 3, 3, 4, 3, 0, 3, 0, 4, 2, 4, 2, 4, 0, 1, 4, 1, 0, 3, 0, 1, 2, 0, 3, 0, 1, 0, 3, 4, 2, 3, 2, 0, 2, 0]
pubkeycol1485 = [1, 1, 0, 3, 0, 2, 2, 3, 2, 1, 3, 0, 3, 4, 0, 0, 3, 3, 1, 1, 2, 0, 1, 4, 4, 1, 1, 3, 3, 2, 3, 4, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 3, 4, 3, 0, 4, 1, 0, 0, 3, 0, 2, 0, 4, 0, 3, 2, 2, 4, 4, 1, 3, 2, 1, 3, 3, 3, 2, 2, 2, 0, 4, 0, 1, 3, 1, 4, 4, 1, 3, 4, 1, 2, 0, 4, 0, 2, 4, 1, 2, 2, 0, 0, 2, 4, 3, 0, 0, 4, 0, 2, 3, 4, 0, 3, 4, 3, 1, 3, 3, 3, 2, 0, 4, 3, 3, 0, 1, 0, 3, 3, 3, 1, 1, 0, 4, 1, 4, 1, 0, 1, 4, 4, 4, 4, 4, 1, 3, 3, 1, 0, 4, 0, 1, 4, 2, 2, 0, 2, 0, 2, 1, 1, 1, 4, 4, 4, 4, 2, 1, 2, 2, 3, 1, 4, 2, 4, 1, 2, 3, 3, 0, 4, 4, 0, 3, 3, 3, 1, 0, 1, 3, 3, 1, 1, 4, 0, 2, 0, 3, 4, 2, 4, 3, 4, 1, 3, 3, 3, 3, 4, 2, 3, 4, 3, 1, 1, 0, 2, 3, 0, 1, 1, 0, 4, 1, 2, 3, 2, 1, 2, 2, 2, 0, 3, 2, 3, 1, 1, 2, 3, 4, 3, 2, 2, 2, 3, 2, 3, 2, 1, 3, 3, 2, 1, 3, 3, 0, 4, 1, 3, 3, 3, 3, 3, 4, 4, 4, 2, 4, 0, 1, 4, 4, 4, 4, 0, 2, 0, 1, 2, 1, 0, 4, 1, 0, 4, 2, 3, 4, 2, 3, 4, 1, 2, 1, 3, 4, 2, 3, 4, 1, 4, 0, 2, 2, 2, 3, 3, 3, 4, 4, 0, 2, 0, 4, 0, 1, 1, 2, 2, 1, 4, 0, 1, 0, 4, 3, 2, 1, 3, 3, 4, 0, 4, 3, 2, 3, 0, 1, 2, 0, 0, 4, 4, 2, 4, 2, 4, 1, 2, 0, 3, 1, 0, 4, 3, 1, 0, 0, 4, 3, 2, 4, 1, 0, 0, 1, 4, 3, 1, 3, 1, 4, 1, 4, 3, 3, 4, 4, 0, 0, 3, 0, 4, 1, 2, 4, 1, 4, 2, 1, 3, 0, 0, 0, 2, 4, 1, 0, 1, 2, 2, 2, 4, 4, 2, 0]
pubkeycol1486 = [3, 4, 3, 4, 1, 2, 4, 3, 4, 3, 3, 2, 0, 1, 1, 1, 1, 2, 0, 2, 4, 1, 3, 0, 0, 2, 2, 0, 2, 4, 1, 4, 3, 2, 2, 3, 3, 0, 1, 3, 2, 0, 0, 0, 4, 3, 2, 3, 3, 4, 4, 0, 1, 2, 4, 2, 2, 2, 1, 1, 2, 1, 0, 3, 3, 1, 1, 1, 1, 0, 0, 4, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 4, 3, 3, 0, 0, 4, 3, 2, 3, 1, 0, 4, 0, 0, 0, 0, 3, 4, 3, 0, 0, 3, 0, 1, 1, 0, 1, 4, 4, 2, 0, 4, 0, 1, 1, 0, 2, 1, 2, 4, 0, 0, 4, 1, 0, 2, 3, 2, 3, 4, 3, 1, 3, 1, 1, 2, 3, 1, 1, 4, 1, 0, 3, 3, 4, 3, 2, 0, 4, 3, 0, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 4, 1, 1, 4, 0, 3, 1, 1, 4, 2, 0, 1, 3, 1, 2, 1, 1, 3, 1, 1, 0, 3, 4, 1, 4, 2, 1, 0, 4, 3, 4, 1, 4, 2, 2, 1, 2, 4, 3, 0, 3, 4, 1, 4, 4, 4, 0, 0, 1, 0, 2, 0, 1, 3, 3, 0, 0, 4, 3, 4, 3, 1, 2, 3, 1, 1, 2, 2, 1, 2, 3, 3, 2, 1, 3, 2, 2, 3, 0, 2, 0, 3, 0, 4, 0, 1, 1, 3, 1, 2, 4, 2, 0, 1, 3, 1, 4, 3, 2, 0, 4, 4, 1, 1, 2, 0, 2, 1, 1, 3, 0, 3, 4, 3, 2, 4, 0, 2, 1, 3, 3, 0, 4, 2, 3, 3, 2, 4, 0, 3, 4, 1, 0, 0, 2, 3, 1, 1, 4, 2, 3, 1, 0, 4, 0, 1, 2, 1, 3, 1, 4, 2, 0, 3, 1, 2, 4, 0, 0, 3, 2, 3, 2, 2, 3, 0, 4, 1, 4, 4, 2, 0, 2, 2, 0, 4, 4, 4, 0, 3, 4, 4, 4, 2, 3, 3, 2, 4, 2, 4, 2, 2, 1, 4, 0, 4, 0, 1, 0, 0, 3, 1, 0, 4, 4, 3, 3, 4, 2, 0, 4, 2, 1, 2, 0, 4, 0, 0, 4, 2, 0, 1, 3, 4, 1, 1, 2, 4, 3, 3, 4, 4, 4]
pubkeycol1487 = [1, 2, 2, 1, 1, 4, 1, 1, 3, 2, 2, 3, 4, 3, 3, 4, 0, 3, 3, 1, 3, 0, 1, 4, 3, 3, 1, 0, 0, 3, 0, 1, 1, 4, 3, 4, 0, 3, 4, 0, 2, 2, 1, 0, 3, 4, 1, 1, 4, 4, 0, 2, 0, 4, 1, 2, 2, 3, 1, 1, 3, 4, 2, 2, 1, 2, 4, 1, 1, 2, 3, 1, 1, 4, 4, 3, 2, 3, 3, 4, 0, 3, 4, 1, 2, 4, 0, 3, 3, 1, 4, 3, 1, 2, 3, 2, 4, 0, 2, 1, 4, 1, 2, 0, 4, 0, 1, 4, 2, 3, 0, 3, 3, 0, 4, 2, 0, 4, 1, 3, 0, 4, 4, 2, 3, 1, 1, 3, 3, 0, 1, 2, 4, 3, 2, 2, 2, 4, 3, 0, 3, 3, 2, 3, 2, 1, 3, 3, 3, 4, 2, 3, 3, 2, 0, 0, 1, 0, 1, 4, 4, 2, 4, 4, 1, 3, 2, 0, 2, 0, 0, 0, 4, 4, 3, 3, 2, 4, 0, 2, 4, 3, 1, 2, 1, 3, 1, 4, 3, 4, 0, 4, 2, 4, 2, 1, 2, 4, 3, 3, 3, 3, 0, 0, 2, 3, 4, 2, 3, 4, 4, 1, 3, 4, 3, 1, 1, 1, 3, 2, 2, 1, 0, 0, 2, 1, 4, 2, 0, 2, 1, 3, 2, 3, 3, 3, 0, 1, 1, 3, 1, 2, 4, 2, 3, 0, 3, 0, 4, 1, 0, 3, 1, 0, 4, 4, 4, 3, 2, 1, 1, 3, 3, 2, 3, 1, 2, 2, 1, 4, 3, 1, 2, 2, 4, 4, 2, 0, 2, 3, 2, 0, 1, 0, 1, 4, 2, 2, 4, 1, 4, 0, 2, 4, 0, 4, 4, 2, 3, 3, 4, 4, 4, 0, 4, 2, 1, 3, 3, 0, 2, 4, 4, 4, 0, 4, 2, 3, 2, 0, 4, 1, 2, 2, 1, 0, 3, 4, 0, 2, 2, 4, 3, 2, 0, 3, 3, 2, 1, 1, 0, 2, 0, 2, 3, 3, 4, 0, 4, 2, 3, 1, 0, 1, 3, 1, 1, 1, 3, 1, 3, 4, 2, 3, 0, 2, 1, 3, 1, 1, 2, 4, 1, 3, 4, 4, 0, 1, 3, 3, 2, 2, 1, 1, 3, 4, 4, 4, 1, 4, 1, 2, 1, 4, 4, 3, 2, 1, 2, 4]
pubkeycol1488 = [0, 3, 3, 0, 4, 2, 4, 0, 4, 1, 1, 1, 4, 0, 4, 3, 0, 4, 0, 0, 3, 3, 2, 2, 3, 4, 0, 3, 2, 1, 4, 3, 4, 2, 0, 3, 3, 2, 4, 3, 4, 0, 1, 0, 3, 2, 4, 3, 4, 4, 3, 4, 4, 0, 3, 1, 0, 2, 3, 3, 3, 4, 0, 4, 1, 4, 2, 1, 3, 0, 3, 3, 4, 1, 0, 3, 0, 4, 0, 3, 2, 4, 0, 4, 1, 0, 4, 1, 2, 1, 0, 1, 1, 2, 3, 0, 3, 1, 2, 4, 3, 0, 3, 2, 4, 2, 3, 1, 0, 2, 3, 1, 0, 4, 4, 0, 2, 2, 3, 2, 1, 2, 4, 1, 3, 1, 0, 3, 4, 3, 2, 0, 1, 1, 0, 0, 4, 4, 3, 0, 4, 2, 3, 4, 4, 1, 1, 0, 0, 4, 0, 2, 4, 0, 0, 1, 2, 0, 3, 0, 0, 0, 4, 0, 0, 3, 0, 4, 0, 4, 3, 4, 4, 3, 2, 2, 0, 3, 3, 1, 0, 4, 1, 2, 2, 1, 0, 1, 2, 1, 0, 3, 4, 4, 3, 1, 4, 0, 2, 3, 1, 3, 2, 3, 2, 4, 1, 1, 4, 2, 3, 4, 0, 2, 4, 3, 2, 1, 0, 0, 0, 4, 4, 2, 3, 3, 2, 0, 2, 0, 0, 3, 3, 1, 4, 4, 3, 2, 1, 4, 3, 0, 2, 3, 1, 0, 3, 1, 4, 1, 2, 4, 4, 4, 0, 1, 4, 2, 2, 1, 3, 2, 1, 0, 3, 2, 1, 2, 1, 3, 3, 1, 4, 3, 2, 4, 1, 1, 2, 1, 4, 4, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 3, 1, 1, 3, 0, 1, 1, 1, 1, 0, 1, 4, 3, 1, 3, 2, 2, 4, 1, 1, 3, 2, 1, 4, 2, 0, 3, 3, 0, 1, 3, 2, 1, 1, 0, 4, 2, 1, 2, 2, 2, 1, 2, 4, 2, 1, 3, 0, 3, 1, 2, 4, 2, 0, 1, 4, 0, 4, 0, 4, 1, 0, 0, 2, 3, 4, 3, 2, 4, 1, 4, 0, 2, 4, 0, 4, 4, 1, 1, 3, 3, 0, 2, 0, 3, 0, 2, 3, 2, 3, 3, 4, 1, 1, 4, 1, 2, 3, 1, 3, 4, 3, 0, 2, 3, 2, 4, 2]
pubkeycol1489 = [0, 3, 0, 2, 1, 3, 3, 0, 4, 0, 0, 4, 1, 2, 1, 1, 3, 0, 0, 1, 1, 1, 2, 2, 4, 3, 0, 4, 4, 4, 3, 4, 0, 2, 4, 1, 2, 4, 1, 4, 0, 1, 0, 4, 1, 3, 4, 4, 1, 0, 3, 3, 2, 0, 1, 4, 2, 0, 4, 0, 1, 1, 2, 0, 3, 0, 0, 2, 3, 4, 2, 4, 1, 2, 0, 4, 4, 0, 4, 0, 3, 3, 0, 1, 1, 0, 0, 4, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 3, 0, 0, 2, 1, 0, 1, 4, 1, 3, 4, 4, 0, 2, 0, 3, 0, 3, 1, 0, 4, 3, 2, 0, 0, 4, 0, 4, 4, 0, 1, 1, 4, 2, 0, 2, 0, 1, 2, 0, 4, 0, 1, 3, 4, 1, 0, 2, 0, 1, 2, 0, 3, 3, 1, 3, 1, 3, 0, 3, 2, 2, 0, 0, 0, 1, 3, 4, 0, 2, 4, 2, 4, 4, 3, 1, 4, 4, 0, 1, 2, 3, 2, 0, 2, 3, 1, 4, 1, 4, 3, 0, 3, 3, 4, 3, 2, 2, 1, 3, 4, 4, 0, 3, 0, 2, 3, 2, 1, 1, 0, 2, 4, 3, 2, 1, 2, 3, 3, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 3, 2, 4, 0, 0, 2, 4, 1, 3, 0, 4, 3, 3, 0, 2, 2, 0, 0, 3, 1, 2, 0, 3, 1, 0, 4, 0, 3, 1, 3, 4, 1, 4, 4, 0, 2, 3, 2, 0, 0, 0, 2, 1, 4, 2, 4, 4, 1, 4, 4, 2, 3, 3, 4, 0, 2, 4, 1, 4, 0, 1, 1, 1, 4, 2, 4, 4, 3, 2, 4, 2, 1, 3, 3, 2, 3, 4, 0, 3, 3, 1, 0, 3, 1, 2, 4, 2, 3, 4, 4, 2, 4, 0, 3, 0, 3, 3, 0, 1, 0, 0, 2, 1, 0, 1, 4, 0, 4, 0, 3, 3, 2, 4, 4, 0, 0, 3, 3, 0, 4, 0, 3, 2, 2, 0, 3, 3, 2, 3, 1, 3, 1, 4, 1, 2, 3, 1, 0, 3, 1, 3, 1, 2, 2, 2, 0, 0, 3, 1, 2, 1, 4, 4, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 3, 4, 2, 2, 3, 2, 3]
pubkeycol1490 = [0, 1, 3, 3, 2, 1, 3, 3, 3, 2, 3, 1, 4, 1, 4, 2, 2, 2, 3, 3, 0, 2, 0, 4, 0, 2, 2, 3, 2, 1, 4, 2, 4, 4, 1, 0, 4, 2, 0, 1, 3, 0, 3, 2, 4, 4, 1, 4, 1, 2, 4, 3, 2, 4, 2, 0, 1, 0, 3, 1, 4, 1, 3, 2, 0, 4, 1, 3, 1, 4, 2, 1, 3, 1, 0, 3, 4, 0, 0, 2, 0, 1, 0, 4, 1, 3, 2, 3, 4, 2, 0, 3, 2, 2, 3, 3, 3, 0, 4, 1, 4, 1, 4, 0, 2, 2, 2, 3, 2, 2, 0, 0, 2, 3, 4, 1, 4, 1, 2, 4, 2, 2, 4, 3, 3, 4, 3, 0, 2, 0, 3, 2, 3, 1, 2, 4, 3, 0, 4, 2, 1, 2, 4, 1, 2, 3, 4, 2, 0, 3, 0, 0, 0, 4, 4, 4, 3, 2, 3, 4, 3, 4, 3, 0, 0, 4, 3, 3, 4, 0, 4, 3, 0, 4, 3, 1, 4, 3, 3, 3, 3, 3, 3, 0, 1, 2, 4, 4, 4, 3, 3, 2, 0, 1, 2, 4, 1, 4, 1, 0, 4, 0, 0, 1, 0, 0, 2, 2, 2, 3, 2, 1, 2, 2, 2, 0, 2, 4, 3, 0, 2, 0, 3, 1, 3, 2, 0, 1, 2, 0, 3, 4, 4, 4, 4, 2, 0, 0, 0, 4, 4, 3, 0, 3, 1, 2, 2, 2, 2, 2, 4, 4, 0, 0, 2, 1, 4, 1, 0, 3, 2, 4, 1, 4, 2, 2, 3, 4, 1, 0, 4, 3, 0, 2, 2, 1, 0, 3, 1, 0, 3, 1, 2, 2, 2, 1, 1, 3, 0, 4, 2, 0, 4, 2, 0, 2, 0, 3, 3, 2, 1, 2, 0, 0, 4, 1, 2, 1, 0, 2, 3, 3, 3, 3, 2, 4, 2, 2, 2, 2, 1, 1, 3, 0, 0, 4, 3, 3, 2, 2, 3, 3, 0, 0, 3, 2, 2, 1, 0, 3, 3, 0, 3, 1, 4, 0, 3, 1, 1, 1, 3, 4, 2, 3, 4, 4, 2, 3, 4, 4, 3, 1, 2, 3, 0, 1, 0, 1, 1, 1, 3, 2, 2, 0, 2, 3, 1, 0, 2, 4, 4, 0, 0, 0, 0, 3, 0, 1, 4, 4, 2, 4, 2, 3, 1, 0, 2, 0, 1, 2]
pubkeycol1491 = [2, 3, 3, 1, 2, 2, 0, 1, 4, 3, 4, 0, 4, 4, 1, 3, 0, 1, 1, 2, 3, 3, 0, 2, 0, 3, 1, 2, 1, 3, 4, 4, 4, 2, 2, 0, 2, 4, 1, 3, 1, 0, 1, 0, 1, 3, 1, 0, 0, 4, 2, 1, 3, 4, 3, 4, 1, 0, 4, 3, 4, 0, 4, 2, 2, 3, 2, 4, 3, 0, 3, 0, 2, 0, 1, 1, 1, 2, 4, 4, 4, 3, 4, 1, 2, 1, 0, 2, 2, 4, 4, 0, 3, 1, 3, 1, 1, 2, 2, 3, 4, 3, 4, 2, 4, 1, 3, 3, 0, 3, 4, 0, 0, 1, 2, 1, 0, 2, 0, 4, 2, 4, 2, 2, 3, 3, 3, 2, 1, 2, 1, 3, 0, 1, 1, 0, 4, 1, 2, 0, 3, 3, 4, 4, 4, 1, 2, 0, 0, 4, 1, 3, 1, 2, 0, 2, 3, 0, 1, 0, 1, 3, 1, 1, 3, 4, 2, 2, 3, 3, 2, 2, 1, 3, 1, 0, 3, 4, 3, 4, 2, 1, 1, 4, 0, 2, 3, 1, 1, 1, 0, 4, 2, 2, 0, 0, 4, 3, 3, 4, 3, 4, 1, 2, 0, 2, 4, 1, 1, 2, 2, 4, 2, 1, 2, 1, 1, 1, 0, 1, 2, 4, 2, 2, 1, 2, 0, 3, 4, 3, 4, 3, 2, 2, 2, 2, 0, 1, 1, 0, 4, 4, 3, 3, 2, 3, 0, 4, 4, 0, 1, 4, 1, 0, 1, 4, 3, 1, 4, 2, 2, 1, 3, 2, 2, 1, 4, 4, 2, 3, 1, 1, 3, 2, 3, 4, 3, 0, 3, 0, 3, 3, 2, 4, 4, 1, 4, 2, 2, 1, 0, 3, 4, 1, 2, 4, 0, 0, 4, 1, 4, 3, 4, 2, 2, 2, 3, 4, 0, 3, 2, 1, 1, 1, 0, 1, 3, 3, 4, 1, 1, 0, 1, 1, 3, 1, 4, 2, 3, 0, 1, 4, 2, 0, 4, 1, 4, 0, 4, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 4, 0, 1, 4, 2, 1, 1, 1, 2, 0, 0, 0, 4, 1, 2, 2, 2, 4, 2, 1, 1, 1, 2, 1, 4, 2, 4, 1, 0, 0, 2, 0, 2, 0, 0, 3, 2, 2, 2, 2, 0, 3, 0, 4, 3, 1, 3, 4, 1, 4, 2]
pubkeycol1492 = [2, 2, 1, 0, 2, 0, 3, 1, 4, 4, 1, 1, 0, 1, 3, 2, 0, 4, 0, 2, 0, 2, 0, 4, 1, 2, 3, 4, 1, 3, 4, 0, 2, 0, 3, 0, 3, 2, 1, 0, 1, 4, 3, 3, 1, 3, 4, 2, 4, 2, 2, 2, 4, 4, 0, 3, 0, 3, 0, 2, 3, 0, 3, 0, 1, 2, 2, 1, 3, 0, 0, 4, 4, 4, 3, 1, 0, 2, 4, 2, 1, 1, 0, 0, 2, 1, 3, 1, 4, 3, 2, 3, 1, 2, 4, 2, 0, 1, 0, 2, 3, 3, 0, 3, 4, 1, 1, 4, 0, 3, 1, 2, 3, 4, 3, 0, 3, 3, 0, 0, 2, 2, 4, 3, 0, 1, 3, 3, 0, 4, 0, 0, 4, 1, 4, 1, 2, 3, 1, 1, 1, 4, 0, 4, 0, 3, 1, 4, 0, 1, 0, 1, 3, 0, 0, 3, 3, 4, 2, 3, 4, 0, 1, 2, 4, 1, 3, 1, 3, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 4, 1, 2, 1, 3, 0, 0, 3, 1, 2, 0, 0, 3, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 3, 4, 3, 3, 0, 2, 4, 4, 0, 2, 4, 3, 2, 2, 1, 4, 0, 2, 4, 4, 0, 2, 0, 2, 4, 1, 3, 3, 0, 4, 1, 3, 3, 0, 1, 4, 2, 3, 0, 1, 4, 3, 2, 2, 4, 1, 0, 1, 0, 0, 4, 4, 4, 2, 1, 4, 1, 3, 1, 1, 3, 2, 2, 2, 2, 1, 4, 2, 0, 2, 0, 0, 0, 1, 1, 3, 0, 0, 0, 2, 3, 3, 2, 4, 1, 0, 3, 2, 3, 2, 3, 1, 3, 3, 2, 0, 1, 4, 2, 3, 4, 0, 2, 1, 0, 2, 0, 3, 2, 0, 3, 3, 0, 3, 0, 2, 0, 2, 4, 1, 2, 2, 2, 3, 4, 2, 1, 0, 2, 0, 1, 3, 0, 2, 2, 0, 3, 3, 4, 2, 2, 3, 4, 2, 1, 2, 0, 1, 3, 2, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 3, 3, 2, 2, 0, 3, 1, 4, 3, 1, 0, 3, 2, 3, 1, 2, 2, 3, 0, 4, 4, 3, 2, 0, 3, 3, 0, 4, 1, 3, 0, 2, 1, 4, 1, 4, 2]
pubkeycol1493 = [3, 2, 2, 3, 1, 0, 3, 0, 4, 0, 2, 4, 4, 0, 3, 4, 2, 3, 4, 2, 4, 1, 1, 1, 2, 4, 2, 1, 3, 0, 2, 3, 1, 3, 4, 0, 4, 4, 0, 3, 4, 0, 1, 3, 2, 3, 4, 1, 1, 0, 3, 4, 4, 1, 2, 3, 0, 0, 2, 1, 0, 1, 1, 3, 3, 4, 4, 4, 2, 1, 1, 0, 0, 2, 2, 4, 1, 1, 1, 0, 0, 1, 2, 0, 1, 4, 1, 2, 0, 3, 1, 0, 2, 1, 4, 4, 0, 2, 3, 4, 1, 1, 4, 2, 4, 3, 3, 1, 1, 4, 2, 2, 3, 0, 3, 2, 3, 3, 2, 3, 1, 2, 4, 2, 3, 2, 4, 2, 0, 3, 4, 1, 0, 2, 1, 4, 3, 3, 2, 4, 1, 4, 2, 4, 2, 1, 4, 2, 4, 3, 2, 2, 0, 1, 1, 2, 3, 0, 4, 2, 0, 2, 1, 4, 1, 2, 4, 2, 4, 1, 2, 4, 3, 0, 1, 3, 1, 4, 1, 2, 3, 2, 1, 2, 4, 3, 1, 4, 2, 0, 4, 2, 3, 4, 1, 1, 1, 2, 1, 4, 1, 4, 2, 0, 1, 1, 3, 1, 3, 0, 3, 4, 2, 0, 4, 4, 1, 1, 2, 3, 2, 3, 4, 4, 4, 0, 3, 0, 2, 2, 2, 1, 0, 2, 1, 4, 2, 2, 2, 4, 0, 1, 1, 2, 0, 4, 0, 3, 3, 4, 2, 4, 2, 4, 4, 3, 2, 3, 4, 1, 2, 3, 4, 1, 4, 0, 1, 0, 3, 2, 1, 4, 1, 1, 2, 4, 4, 2, 4, 1, 2, 0, 0, 4, 4, 1, 0, 4, 4, 4, 3, 2, 2, 1, 2, 0, 0, 1, 2, 4, 3, 1, 3, 2, 0, 2, 1, 4, 4, 3, 4, 3, 4, 3, 1, 3, 0, 0, 1, 0, 0, 3, 1, 1, 0, 4, 1, 4, 0, 1, 1, 0, 0, 4, 3, 4, 1, 0, 3, 1, 3, 1, 2, 0, 1, 2, 2, 0, 3, 0, 1, 4, 1, 0, 2, 1, 4, 1, 0, 1, 1, 4, 2, 1, 1, 2, 4, 0, 3, 3, 3, 3, 4, 2, 3, 0, 1, 4, 3, 0, 1, 4, 1, 4, 0, 3, 4, 3, 2, 4, 2, 0, 1, 2, 3, 2, 3, 1, 0, 1]
pubkeycol1494 = [0, 3, 4, 2, 2, 3, 0, 4, 0, 1, 4, 3, 4, 1, 2, 0, 1, 4, 0, 4, 4, 1, 4, 3, 4, 3, 3, 4, 2, 1, 3, 1, 4, 2, 4, 4, 2, 3, 3, 2, 2, 1, 2, 1, 1, 2, 4, 2, 2, 2, 3, 1, 3, 1, 3, 0, 1, 2, 2, 0, 4, 1, 2, 0, 2, 3, 4, 2, 0, 0, 4, 0, 2, 0, 0, 1, 3, 2, 2, 3, 0, 4, 0, 2, 3, 4, 3, 0, 2, 0, 3, 0, 1, 2, 2, 1, 2, 3, 3, 2, 0, 1, 1, 0, 1, 3, 3, 1, 3, 1, 2, 1, 1, 2, 4, 3, 1, 0, 3, 3, 0, 3, 2, 1, 2, 0, 3, 3, 0, 1, 4, 2, 4, 3, 4, 1, 4, 1, 4, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 3, 1, 0, 2, 4, 2, 0, 3, 0, 2, 1, 3, 3, 0, 1, 4, 4, 1, 2, 0, 2, 4, 2, 0, 1, 1, 3, 2, 3, 1, 3, 2, 3, 1, 0, 3, 0, 2, 0, 3, 4, 4, 2, 2, 4, 1, 4, 4, 0, 4, 4, 1, 1, 2, 3, 0, 1, 2, 4, 2, 1, 4, 4, 0, 3, 3, 3, 1, 0, 1, 3, 1, 3, 3, 4, 0, 1, 4, 1, 3, 4, 1, 3, 4, 4, 1, 4, 0, 2, 4, 1, 2, 3, 4, 1, 1, 0, 3, 3, 3, 3, 1, 0, 4, 2, 2, 0, 3, 2, 1, 3, 4, 2, 1, 0, 1, 4, 3, 2, 1, 1, 0, 2, 1, 1, 1, 4, 1, 4, 2, 2, 3, 4, 3, 4, 4, 2, 1, 4, 0, 3, 0, 1, 1, 2, 0, 2, 0, 3, 2, 2, 2, 3, 3, 0, 1, 4, 2, 2, 1, 4, 4, 0, 2, 3, 2, 0, 0, 0, 4, 2, 4, 3, 2, 0, 4, 2, 2, 2, 1, 4, 4, 0, 3, 2, 0, 3, 1, 1, 1, 1, 1, 4, 2, 2, 4, 3, 1, 4, 4, 2, 2, 2, 1, 0, 3, 1, 0, 0, 4, 1, 2, 0, 2, 0, 1, 2, 1, 0, 3, 4, 0, 1, 0, 0, 1, 1, 2, 1, 3, 2, 0, 1, 0, 0, 0, 4, 2, 2, 3, 4, 0, 0, 4, 1, 0, 2, 4, 4]
pubkeycol1495 = [0, 2, 0, 1, 1, 2, 4, 1, 1, 1, 4, 4, 4, 4, 0, 3, 2, 0, 3, 4, 0, 1, 4, 3, 2, 2, 3, 3, 0, 3, 2, 1, 2, 3, 4, 0, 0, 0, 0, 2, 0, 3, 2, 2, 4, 4, 4, 2, 4, 4, 0, 1, 2, 0, 0, 3, 3, 0, 4, 2, 1, 1, 3, 1, 1, 4, 0, 0, 2, 4, 0, 0, 3, 1, 0, 0, 1, 3, 1, 2, 4, 0, 0, 1, 3, 1, 4, 3, 2, 2, 3, 2, 4, 0, 1, 1, 1, 1, 0, 1, 0, 0, 4, 0, 0, 3, 4, 2, 4, 1, 0, 1, 0, 3, 4, 4, 3, 0, 1, 3, 4, 3, 4, 3, 0, 0, 2, 4, 3, 0, 1, 1, 4, 3, 3, 4, 3, 3, 1, 0, 3, 2, 1, 2, 3, 0, 1, 1, 0, 3, 2, 2, 0, 1, 3, 2, 1, 4, 4, 3, 3, 3, 4, 1, 1, 4, 1, 2, 2, 2, 0, 4, 0, 3, 0, 3, 2, 1, 0, 0, 3, 0, 2, 1, 1, 4, 0, 2, 2, 3, 2, 3, 2, 3, 4, 4, 0, 4, 0, 0, 3, 0, 2, 0, 0, 1, 4, 1, 2, 3, 1, 0, 1, 0, 2, 4, 1, 0, 2, 4, 0, 1, 1, 2, 2, 1, 0, 4, 0, 1, 3, 1, 2, 2, 1, 0, 2, 3, 4, 4, 2, 4, 2, 2, 0, 2, 3, 4, 4, 0, 4, 0, 3, 1, 3, 2, 4, 2, 3, 3, 1, 1, 4, 1, 4, 0, 0, 1, 1, 1, 0, 2, 1, 2, 3, 1, 0, 4, 3, 4, 4, 3, 2, 0, 0, 2, 3, 4, 2, 0, 3, 3, 1, 2, 2, 2, 3, 4, 1, 4, 0, 3, 0, 4, 4, 1, 1, 0, 2, 3, 2, 4, 1, 4, 0, 4, 4, 0, 2, 4, 1, 0, 1, 3, 4, 2, 1, 4, 2, 0, 2, 0, 1, 2, 1, 3, 2, 1, 3, 2, 4, 3, 1, 4, 3, 4, 2, 3, 0, 1, 0, 3, 2, 0, 0, 3, 3, 4, 1, 0, 4, 0, 0, 0, 2, 2, 2, 1, 4, 2, 1, 3, 1, 2, 0, 4, 1, 3, 2, 1, 0, 4, 0, 0, 1, 0, 3, 2, 4, 0, 1, 0, 3, 4, 3, 0, 3, 2, 3, 1]
pubkeycol1496 = [3, 3, 2, 2, 3, 0, 4, 2, 1, 2, 4, 3, 1, 3, 1, 1, 4, 3, 2, 0, 4, 3, 1, 0, 1, 4, 3, 0, 1, 4, 3, 0, 3, 0, 4, 1, 3, 1, 2, 4, 3, 0, 1, 0, 3, 1, 3, 4, 1, 1, 1, 0, 1, 2, 4, 1, 3, 3, 1, 4, 4, 4, 3, 0, 3, 4, 1, 4, 3, 2, 1, 2, 3, 1, 2, 3, 2, 1, 3, 1, 0, 2, 0, 2, 3, 3, 3, 4, 0, 4, 0, 4, 1, 4, 3, 2, 3, 4, 4, 0, 4, 4, 1, 0, 2, 2, 1, 2, 3, 0, 2, 0, 1, 0, 3, 2, 0, 3, 1, 1, 1, 1, 1, 3, 1, 4, 4, 3, 0, 1, 0, 0, 3, 4, 2, 1, 2, 2, 2, 0, 0, 2, 4, 2, 1, 4, 3, 4, 3, 2, 4, 3, 1, 0, 1, 4, 1, 1, 1, 2, 0, 0, 3, 4, 3, 1, 1, 0, 3, 0, 1, 4, 4, 1, 1, 0, 3, 3, 2, 2, 1, 4, 4, 4, 2, 4, 3, 1, 2, 3, 0, 2, 1, 4, 1, 0, 0, 0, 2, 4, 0, 3, 4, 4, 3, 1, 4, 3, 4, 3, 2, 2, 1, 4, 0, 4, 0, 2, 3, 3, 0, 1, 3, 3, 3, 4, 0, 3, 3, 3, 0, 1, 2, 0, 3, 1, 0, 0, 3, 2, 1, 1, 3, 2, 0, 3, 1, 4, 3, 2, 4, 4, 0, 2, 2, 0, 2, 4, 0, 3, 1, 0, 2, 3, 2, 2, 4, 4, 3, 1, 4, 0, 0, 2, 4, 1, 1, 1, 4, 1, 1, 0, 2, 2, 3, 0, 4, 2, 3, 1, 4, 3, 1, 2, 3, 0, 4, 0, 1, 1, 2, 1, 2, 4, 2, 4, 1, 1, 3, 0, 3, 1, 4, 4, 4, 4, 0, 1, 0, 3, 0, 3, 4, 2, 1, 3, 0, 3, 0, 4, 3, 2, 0, 4, 0, 0, 4, 0, 3, 1, 1, 3, 0, 2, 2, 0, 0, 4, 1, 0, 1, 4, 4, 1, 3, 4, 1, 2, 1, 2, 2, 2, 1, 4, 1, 0, 4, 3, 4, 0, 1, 0, 2, 3, 1, 0, 3, 4, 2, 4, 1, 1, 4, 3, 2, 1, 2, 1, 2, 4, 3, 0, 2, 3, 0, 0, 0, 1, 0, 0]
pubkeycol1497 = [2, 2, 0, 3, 0, 1, 1, 2, 1, 4, 4, 3, 3, 4, 3, 4, 3, 1, 4, 3, 0, 0, 0, 1, 0, 2, 4, 2, 4, 4, 1, 1, 3, 0, 4, 1, 3, 2, 0, 2, 1, 1, 4, 0, 4, 0, 2, 4, 2, 2, 3, 2, 4, 3, 2, 3, 3, 4, 4, 4, 0, 1, 4, 3, 0, 2, 1, 2, 1, 4, 4, 1, 0, 1, 3, 0, 2, 4, 0, 1, 2, 1, 3, 1, 3, 3, 2, 0, 2, 3, 0, 0, 0, 4, 1, 3, 1, 2, 4, 1, 2, 0, 4, 0, 1, 3, 0, 1, 0, 3, 4, 0, 4, 2, 1, 2, 2, 3, 0, 3, 1, 4, 1, 1, 4, 1, 4, 2, 4, 0, 4, 2, 2, 4, 3, 1, 1, 4, 1, 4, 4, 0, 3, 4, 4, 4, 1, 0, 1, 0, 0, 3, 0, 3, 0, 4, 0, 2, 0, 1, 1, 0, 1, 0, 1, 4, 1, 4, 2, 1, 0, 0, 0, 0, 0, 1, 4, 3, 4, 0, 2, 4, 1, 2, 3, 0, 3, 3, 3, 1, 3, 4, 2, 1, 4, 3, 1, 4, 3, 0, 4, 4, 1, 1, 0, 2, 1, 1, 3, 2, 2, 2, 2, 1, 2, 0, 3, 3, 1, 1, 1, 2, 2, 0, 0, 1, 0, 4, 3, 0, 4, 2, 3, 1, 4, 2, 0, 3, 2, 3, 0, 0, 0, 4, 2, 4, 1, 2, 0, 1, 3, 0, 1, 0, 2, 4, 2, 1, 4, 1, 2, 3, 3, 3, 0, 1, 4, 2, 4, 3, 3, 1, 2, 4, 4, 1, 0, 4, 2, 1, 2, 3, 2, 1, 2, 1, 3, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 4, 4, 2, 0, 1, 4, 3, 3, 0, 0, 2, 2, 0, 1, 3, 2, 3, 0, 3, 0, 4, 3, 0, 4, 3, 1, 1, 1, 1, 0, 4, 0, 2, 2, 0, 0, 4, 0, 2, 1, 4, 3, 3, 1, 3, 1, 1, 4, 1, 2, 2, 4, 3, 4, 0, 1, 2, 2, 2, 1, 1, 3, 3, 0, 2, 1, 4, 4, 2, 2, 3, 0, 1, 4, 3, 0, 1, 3, 1, 3, 2, 2, 1, 4, 1, 1, 2, 0, 1, 4, 2, 4, 4, 4, 2, 4, 4, 0, 4, 3, 3, 1, 4]
pubkeycol1498 = [4, 1, 4, 0, 2, 0, 0, 3, 0, 3, 1, 2, 4, 3, 4, 2, 1, 3, 1, 1, 4, 1, 3, 3, 3, 0, 0, 0, 3, 0, 0, 2, 0, 1, 1, 1, 2, 4, 1, 4, 0, 2, 1, 3, 0, 2, 3, 2, 0, 0, 2, 2, 3, 4, 1, 2, 4, 3, 1, 1, 1, 1, 0, 1, 0, 3, 4, 4, 4, 4, 0, 1, 1, 2, 2, 4, 2, 2, 2, 3, 2, 3, 3, 0, 0, 2, 2, 2, 4, 4, 3, 4, 0, 4, 0, 4, 1, 4, 3, 2, 3, 0, 2, 1, 3, 0, 3, 2, 0, 2, 4, 2, 0, 0, 2, 1, 4, 2, 1, 2, 3, 2, 2, 4, 0, 2, 2, 0, 2, 4, 1, 1, 4, 1, 2, 4, 3, 1, 1, 4, 3, 1, 0, 0, 0, 3, 1, 3, 3, 1, 4, 1, 0, 0, 4, 4, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 4, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 3, 2, 1, 0, 3, 4, 4, 2, 1, 2, 4, 4, 2, 3, 3, 1, 4, 3, 2, 2, 3, 3, 0, 4, 1, 3, 2, 2, 2, 4, 0, 0, 1, 4, 4, 1, 2, 1, 0, 4, 0, 0, 2, 1, 2, 4, 1, 2, 4, 2, 1, 1, 0, 0, 2, 0, 3, 3, 4, 4, 0, 2, 2, 1, 4, 1, 1, 4, 4, 2, 3, 2, 4, 1, 1, 3, 3, 1, 3, 0, 0, 2, 3, 0, 1, 0, 3, 1, 4, 1, 3, 2, 1, 3, 4, 0, 3, 1, 2, 3, 3, 2, 4, 2, 1, 2, 1, 4, 1, 2, 2, 3, 2, 1, 0, 1, 1, 2, 3, 0, 0, 1, 4, 2, 1, 1, 4, 4, 0, 0, 2, 3, 1, 2, 2, 2, 2, 3, 3, 0, 1, 2, 4, 2, 0, 3, 1, 1, 1, 0, 3, 2, 2, 2, 3, 0, 2, 3, 2, 0, 4, 3, 3, 1, 3, 1, 3, 1, 1, 2, 0, 4, 2, 4, 3, 4, 2, 0, 4, 2, 0, 3, 2, 0, 1, 4, 0, 3, 4, 4, 0, 2, 0, 4, 4, 0, 3, 1, 3, 4, 3, 1, 2, 1, 3, 3, 1, 0, 0, 0, 3, 0, 0, 1, 4, 3, 3, 4, 1, 0, 3]
pubkeycol1499 = [4, 1, 3, 4, 0, 4, 2, 3, 2, 3, 0, 0, 1, 3, 4, 3, 3, 2, 4, 3, 4, 1, 2, 0, 1, 3, 1, 1, 2, 4, 1, 1, 3, 0, 0, 2, 4, 1, 0, 1, 2, 3, 0, 0, 1, 4, 0, 1, 4, 0, 2, 0, 3, 2, 4, 4, 0, 2, 2, 4, 3, 1, 2, 0, 4, 4, 0, 2, 4, 4, 2, 0, 3, 1, 3, 2, 4, 3, 1, 2, 2, 1, 1, 0, 1, 4, 0, 1, 2, 3, 1, 0, 3, 2, 1, 2, 0, 3, 3, 2, 0, 0, 2, 4, 4, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 0, 3, 4, 0, 3, 0, 3, 1, 4, 1, 2, 2, 1, 4, 3, 4, 0, 1, 1, 2, 3, 0, 2, 4, 3, 2, 4, 1, 0, 2, 4, 0, 3, 3, 4, 0, 1, 4, 3, 3, 2, 2, 3, 2, 3, 0, 2, 0, 2, 1, 4, 3, 1, 0, 4, 1, 4, 2, 4, 2, 1, 4, 4, 1, 3, 2, 1, 0, 1, 3, 2, 2, 4, 1, 0, 3, 2, 3, 4, 3, 4, 1, 4, 1, 3, 0, 1, 4, 1, 0, 3, 0, 2, 0, 0, 3, 1, 3, 4, 3, 0, 4, 1, 2, 4, 2, 1, 2, 4, 3, 1, 4, 3, 0, 1, 4, 4, 3, 3, 2, 0, 1, 0, 2, 0, 3, 4, 0, 1, 0, 4, 1, 0, 4, 1, 4, 2, 2, 4, 1, 3, 1, 1, 1, 2, 0, 0, 1, 1, 2, 4, 2, 3, 2, 0, 3, 3, 2, 4, 0, 4, 3, 4, 1, 4, 4, 1, 2, 0, 0, 4, 3, 4, 1, 4, 1, 1, 4, 0, 0, 2, 1, 4, 3, 2, 0, 3, 1, 2, 4, 3, 1, 1, 3, 2, 3, 4, 2, 1, 4, 4, 3, 1, 3, 3, 2, 3, 2, 0, 3, 1, 2, 2, 4, 1, 0, 4, 2, 0, 3, 1, 1, 0, 3, 3, 0, 4, 2, 3, 3, 0, 1, 2, 3, 2, 4, 1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 3, 0, 4, 0, 2, 2, 3, 1, 0, 4, 0, 0, 2, 0, 1, 4, 2, 0, 2, 1, 3, 0, 4, 4, 3, 4, 2, 2, 4, 0, 4, 0, 3, 1, 3, 1, 2]
pubkeycol1500 = [2, 3, 1, 2, 2, 2, 0, 2, 1, 1, 4, 2, 3, 1, 0, 1, 1, 3, 4, 3, 1, 2, 4, 1, 0, 0, 2, 1, 0, 4, 2, 1, 2, 1, 3, 3, 3, 1, 0, 1, 1, 0, 0, 1, 0, 2, 4, 1, 2, 1, 1, 1, 2, 0, 4, 3, 2, 4, 4, 1, 1, 2, 0, 4, 4, 3, 0, 3, 4, 0, 1, 4, 4, 4, 4, 3, 2, 2, 0, 1, 3, 0, 1, 2, 4, 2, 0, 4, 2, 4, 2, 0, 0, 4, 2, 2, 3, 4, 4, 1, 0, 4, 3, 4, 4, 4, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 4, 4, 2, 3, 4, 1, 2, 2, 3, 3, 4, 2, 1, 0, 2, 4, 2, 1, 2, 0, 2, 1, 3, 2, 0, 3, 4, 3, 2, 3, 0, 3, 4, 1, 1, 1, 1, 0, 3, 3, 2, 4, 0, 4, 2, 4, 4, 0, 3, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 0, 4, 2, 4, 3, 1, 1, 1, 4, 2, 3, 2, 0, 0, 1, 4, 3, 2, 3, 3, 1, 2, 0, 3, 0, 2, 0, 3, 2, 0, 4, 0, 3, 0, 4, 2, 3, 4, 0, 0, 0, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 0, 2, 1, 3, 2, 2, 0, 3, 2, 4, 0, 1, 0, 4, 1, 4, 3, 0, 4, 3, 0, 4, 3, 3, 2, 2, 4, 0, 1, 2, 2, 2, 0, 3, 3, 0, 0, 3, 0, 2, 2, 4, 3, 4, 0, 0, 3, 2, 4, 2, 1, 3, 4, 3, 3, 1, 2, 1, 4, 2, 1, 2, 2, 3, 2, 0, 3, 0, 1, 1, 4, 2, 4, 0, 0, 2, 0, 2, 3, 0, 2, 0, 3, 0, 4, 1, 1, 0, 4, 1, 4, 4, 3, 1, 1, 0, 4, 2, 2, 2, 1, 1, 4, 3, 4, 2, 0, 0, 3, 0, 1, 3, 1, 1, 3, 1, 4, 1, 0, 0, 3, 4, 4, 4, 3, 4, 3, 1, 0, 4, 2, 2, 1, 0, 4, 1, 0, 0, 0, 3, 2, 1, 3, 3, 4, 4, 4, 3, 3, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 4, 1, 3, 2, 2, 4, 1, 3, 0]
pubkeycol1501 = [0, 3, 4, 3, 0, 3, 0, 3, 4, 2, 3, 2, 2, 2, 1, 2, 4, 1, 1, 0, 3, 1, 3, 3, 1, 3, 0, 0, 3, 4, 3, 1, 4, 3, 1, 1, 4, 4, 2, 0, 4, 3, 0, 1, 2, 0, 1, 2, 3, 1, 2, 1, 3, 4, 2, 4, 4, 2, 0, 1, 0, 3, 3, 0, 4, 3, 2, 2, 4, 1, 2, 4, 2, 3, 2, 1, 2, 4, 3, 0, 0, 3, 0, 3, 0, 1, 1, 3, 4, 3, 1, 0, 3, 3, 3, 0, 3, 3, 1, 2, 2, 2, 2, 0, 1, 0, 2, 4, 2, 3, 0, 2, 1, 3, 4, 0, 0, 2, 3, 3, 0, 4, 0, 4, 3, 4, 3, 4, 3, 2, 2, 2, 3, 3, 3, 1, 3, 4, 2, 4, 0, 1, 2, 3, 4, 3, 4, 4, 3, 2, 4, 2, 4, 0, 3, 1, 1, 0, 1, 1, 3, 0, 1, 3, 2, 2, 4, 3, 4, 0, 1, 1, 0, 4, 3, 2, 4, 4, 3, 4, 1, 3, 2, 0, 4, 4, 0, 3, 2, 0, 0, 4, 4, 0, 3, 0, 3, 2, 1, 4, 1, 4, 4, 1, 1, 3, 0, 1, 2, 2, 1, 4, 0, 0, 1, 0, 1, 3, 4, 1, 0, 3, 1, 3, 2, 1, 4, 2, 3, 0, 3, 2, 1, 1, 4, 1, 2, 0, 3, 0, 2, 0, 3, 1, 4, 1, 0, 1, 1, 1, 0, 0, 3, 2, 1, 1, 4, 3, 3, 0, 2, 3, 3, 2, 1, 4, 1, 2, 3, 1, 0, 2, 2, 3, 0, 0, 4, 2, 0, 1, 3, 3, 3, 1, 0, 3, 0, 3, 2, 3, 4, 3, 0, 3, 2, 3, 0, 1, 2, 3, 1, 2, 0, 0, 2, 4, 0, 0, 1, 4, 2, 1, 2, 4, 0, 1, 2, 0, 0, 4, 3, 0, 1, 1, 3, 4, 3, 1, 3, 1, 2, 1, 0, 4, 1, 0, 3, 3, 1, 3, 2, 0, 3, 3, 0, 3, 3, 1, 1, 0, 2, 4, 4, 3, 4, 1, 2, 3, 1, 3, 2, 1, 0, 2, 1, 4, 3, 1, 0, 4, 1, 1, 0, 1, 3, 1, 2, 0, 2, 4, 0, 0, 1, 1, 4, 3, 4, 1, 0, 0, 4, 2, 4, 3, 0, 4, 3, 1, 1, 3]
pubkeycol1502 = [1, 4, 4, 2, 1, 2, 0, 2, 4, 3, 4, 4, 1, 3, 1, 1, 3, 4, 3, 4, 0, 1, 1, 1, 1, 2, 4, 3, 4, 0, 4, 2, 0, 1, 1, 0, 2, 4, 2, 3, 3, 2, 0, 4, 3, 3, 4, 1, 0, 1, 0, 3, 4, 1, 1, 3, 0, 0, 2, 0, 2, 2, 0, 4, 2, 0, 0, 2, 2, 3, 0, 2, 3, 2, 1, 2, 1, 3, 4, 4, 1, 1, 0, 4, 1, 4, 2, 4, 4, 3, 0, 1, 1, 3, 3, 3, 2, 3, 4, 3, 0, 0, 3, 4, 2, 0, 1, 3, 2, 4, 0, 3, 4, 1, 0, 2, 1, 4, 0, 2, 0, 0, 1, 1, 0, 1, 4, 0, 1, 4, 0, 0, 2, 3, 2, 0, 3, 1, 3, 1, 2, 2, 1, 0, 2, 0, 0, 3, 1, 0, 2, 2, 1, 4, 2, 3, 0, 2, 3, 1, 1, 3, 4, 0, 4, 1, 2, 2, 4, 0, 3, 4, 0, 2, 0, 0, 4, 2, 3, 1, 0, 2, 1, 1, 4, 3, 4, 4, 3, 4, 0, 1, 0, 2, 1, 3, 4, 3, 3, 2, 3, 2, 0, 2, 2, 4, 3, 2, 1, 3, 2, 0, 4, 4, 3, 2, 0, 1, 1, 4, 4, 0, 1, 1, 0, 1, 0, 4, 3, 4, 3, 4, 1, 4, 2, 0, 0, 0, 3, 2, 0, 0, 0, 1, 2, 1, 3, 4, 3, 3, 3, 3, 4, 3, 0, 2, 4, 2, 4, 0, 0, 4, 1, 0, 0, 3, 4, 0, 2, 4, 1, 1, 1, 2, 1, 3, 3, 4, 4, 1, 0, 0, 2, 4, 2, 4, 1, 0, 4, 2, 1, 0, 0, 3, 1, 0, 1, 3, 1, 0, 0, 1, 0, 3, 0, 2, 0, 1, 2, 0, 3, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 0, 1, 1, 1, 1, 1, 3, 2, 3, 0, 1, 4, 1, 4, 3, 2, 1, 3, 4, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 1, 1, 0, 0, 3, 1, 2, 2, 3, 1, 3, 0, 0, 2, 1, 3, 3, 3, 1, 1, 0, 1, 2, 0, 1, 4, 4, 0, 0, 4, 2, 1, 1, 0, 1, 1, 3, 0, 0, 0, 4, 4, 3, 4, 1, 4, 4, 4, 3, 2]
pubkeycol1503 = [1, 1, 1, 2, 0, 4, 2, 0, 0, 1, 0, 1, 2, 1, 3, 0, 3, 4, 0, 3, 0, 0, 4, 1, 1, 1, 2, 3, 3, 4, 0, 3, 3, 0, 3, 1, 0, 3, 4, 3, 0, 1, 3, 4, 3, 1, 2, 4, 2, 4, 0, 4, 0, 0, 2, 1, 2, 0, 0, 2, 3, 0, 1, 1, 2, 2, 3, 0, 0, 3, 4, 0, 3, 0, 4, 4, 2, 4, 4, 1, 4, 1, 4, 1, 1, 0, 3, 2, 4, 1, 1, 4, 3, 4, 0, 3, 0, 4, 4, 0, 1, 1, 4, 4, 2, 0, 0, 0, 1, 0, 2, 3, 3, 1, 1, 1, 3, 4, 2, 3, 0, 3, 0, 2, 2, 0, 2, 2, 3, 4, 4, 0, 2, 1, 2, 2, 2, 4, 3, 2, 0, 3, 0, 1, 4, 2, 2, 1, 4, 1, 2, 2, 0, 2, 1, 0, 0, 1, 3, 3, 3, 0, 4, 2, 4, 3, 1, 3, 4, 2, 3, 1, 3, 0, 4, 0, 0, 4, 0, 0, 0, 1, 1, 1, 3, 0, 2, 1, 4, 4, 4, 0, 4, 2, 4, 0, 3, 1, 4, 4, 2, 3, 0, 2, 4, 2, 4, 0, 0, 4, 1, 0, 3, 4, 3, 4, 4, 4, 3, 2, 4, 1, 4, 1, 2, 2, 4, 3, 4, 3, 2, 3, 0, 0, 3, 0, 3, 0, 3, 0, 1, 3, 0, 2, 0, 3, 0, 2, 4, 4, 0, 0, 3, 2, 1, 0, 1, 0, 1, 4, 3, 3, 0, 3, 1, 0, 1, 3, 2, 3, 0, 1, 1, 1, 4, 2, 1, 4, 3, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 3, 1, 4, 3, 3, 2, 3, 2, 4, 0, 4, 2, 3, 4, 1, 2, 4, 3, 4, 0, 2, 4, 3, 3, 4, 2, 1, 4, 3, 2, 1, 1, 3, 0, 0, 1, 0, 3, 3, 3, 4, 0, 4, 2, 0, 4, 0, 3, 2, 3, 4, 2, 0, 1, 3, 4, 1, 4, 2, 1, 4, 0, 2, 3, 4, 4, 1, 2, 0, 1, 1, 3, 3, 3, 1, 3, 2, 4, 2, 1, 0, 3, 0, 1, 0, 4, 0, 3, 0, 0, 2, 3, 3, 3, 3, 1, 0, 4, 1, 2, 0, 0, 0, 4, 3, 4, 4, 2, 3, 1]
pubkeycol1504 = [1, 4, 4, 0, 1, 0, 2, 2, 3, 4, 1, 0, 0, 2, 0, 3, 0, 3, 0, 3, 4, 3, 1, 3, 3, 0, 4, 1, 3, 1, 1, 1, 4, 2, 0, 3, 1, 0, 4, 4, 2, 2, 0, 0, 1, 1, 4, 4, 1, 4, 3, 2, 1, 0, 1, 1, 3, 0, 4, 2, 2, 1, 3, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 4, 3, 0, 1, 2, 3, 0, 1, 1, 3, 4, 3, 0, 0, 2, 1, 3, 2, 3, 2, 0, 4, 3, 0, 3, 3, 1, 1, 0, 1, 3, 3, 2, 1, 3, 4, 2, 2, 0, 3, 4, 2, 4, 4, 4, 0, 0, 0, 3, 3, 2, 1, 4, 0, 4, 3, 4, 1, 3, 1, 2, 1, 2, 1, 1, 3, 4, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 3, 1, 2, 2, 0, 4, 3, 0, 4, 2, 0, 2, 4, 0, 1, 3, 4, 4, 3, 4, 0, 4, 2, 3, 0, 0, 3, 1, 4, 4, 4, 2, 3, 1, 2, 2, 0, 3, 0, 1, 1, 1, 2, 1, 0, 4, 2, 2, 4, 0, 4, 0, 0, 1, 2, 4, 0, 3, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 4, 0, 2, 4, 4, 3, 3, 1, 1, 0, 2, 3, 2, 2, 2, 4, 1, 2, 3, 3, 0, 2, 4, 2, 4, 0, 3, 3, 2, 0, 1, 3, 0, 0, 0, 2, 0, 4, 4, 3, 0, 4, 1, 4, 0, 1, 4, 2, 1, 4, 0, 1, 2, 1, 1, 2, 4, 4, 3, 1, 4, 1, 2, 1, 2, 3, 3, 2, 0, 1, 2, 2, 3, 0, 2, 0, 4, 1, 0, 4, 1, 0, 1, 1, 4, 0, 1, 0, 2, 0, 1, 2, 4, 1, 0, 3, 3, 0, 0, 2, 2, 4, 4, 0, 1, 1, 2, 0, 0, 2, 4, 3, 2, 4, 3, 4, 1, 1, 2, 1, 0, 2, 1, 3, 1, 1, 0, 2, 3, 4, 3, 3, 2, 1, 0, 4, 1, 4, 2, 0, 1, 3, 1, 0, 4, 4, 4, 0, 0, 2, 0, 4, 3, 0, 0, 0, 3, 2, 4, 1, 1, 0, 3, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 0, 0, 2]
pubkeycol1505 = [1, 2, 3, 2, 0, 2, 0, 3, 1, 1, 3, 3, 1, 1, 1, 0, 2, 0, 2, 1, 2, 4, 2, 3, 4, 4, 1, 2, 0, 2, 2, 2, 0, 0, 4, 0, 1, 0, 1, 2, 2, 4, 2, 1, 1, 3, 0, 0, 4, 0, 0, 1, 2, 2, 4, 0, 0, 3, 1, 2, 3, 3, 0, 4, 0, 2, 2, 0, 1, 0, 2, 4, 1, 4, 1, 3, 4, 2, 4, 2, 1, 3, 4, 0, 3, 4, 0, 0, 2, 4, 1, 3, 2, 3, 2, 2, 1, 1, 3, 2, 4, 3, 1, 4, 0, 1, 0, 2, 4, 2, 1, 1, 3, 0, 1, 3, 2, 2, 0, 2, 2, 2, 2, 3, 4, 4, 0, 4, 3, 2, 0, 4, 0, 3, 4, 2, 4, 2, 2, 3, 3, 4, 0, 1, 1, 3, 2, 4, 1, 1, 0, 3, 2, 0, 4, 2, 4, 2, 4, 1, 3, 4, 3, 4, 0, 2, 0, 4, 3, 4, 0, 2, 2, 3, 1, 2, 0, 3, 3, 0, 2, 3, 4, 0, 1, 3, 2, 0, 4, 1, 2, 3, 3, 3, 1, 2, 1, 0, 2, 0, 0, 4, 0, 0, 0, 2, 3, 3, 2, 2, 4, 2, 3, 3, 4, 4, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 4, 0, 3, 2, 3, 3, 0, 4, 1, 1, 4, 1, 3, 1, 0, 3, 4, 4, 3, 1, 3, 4, 3, 4, 2, 1, 2, 0, 0, 3, 1, 2, 4, 2, 2, 3, 4, 3, 2, 4, 3, 2, 3, 3, 0, 2, 0, 1, 2, 2, 4, 3, 0, 2, 2, 3, 1, 1, 2, 3, 2, 0, 3, 4, 2, 0, 2, 2, 1, 4, 2, 1, 3, 4, 1, 0, 1, 2, 2, 4, 2, 0, 0, 2, 2, 4, 0, 2, 1, 3, 3, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 4, 2, 0, 1, 3, 1, 0, 4, 0, 0, 3, 1, 3, 1, 0, 2, 1, 2, 0, 3, 3, 2, 3, 1, 1, 1, 1, 1, 4, 0, 3, 3, 1, 4, 2, 1, 3, 3, 1, 1, 0, 4, 1, 4, 4, 3, 0, 1, 1, 3, 0, 2, 1, 0, 2, 4, 0, 4, 1, 2, 3, 0, 3, 0, 4, 0, 4, 1, 0, 2]
pubkeycol1506 = [0, 0, 4, 1, 3, 3, 4, 2, 2, 1, 3, 1, 1, 0, 3, 1, 2, 0, 3, 1, 0, 4, 4, 2, 4, 4, 1, 2, 0, 4, 3, 4, 1, 0, 4, 2, 3, 3, 3, 3, 0, 1, 2, 2, 3, 1, 1, 0, 3, 4, 1, 3, 4, 0, 1, 2, 2, 2, 4, 2, 0, 0, 2, 3, 4, 4, 1, 0, 2, 3, 4, 0, 2, 3, 0, 1, 0, 1, 2, 1, 2, 3, 3, 2, 2, 4, 2, 0, 2, 1, 2, 4, 4, 4, 4, 0, 4, 0, 4, 0, 2, 3, 4, 0, 0, 2, 2, 3, 3, 1, 1, 4, 3, 1, 0, 2, 4, 4, 3, 0, 2, 1, 1, 0, 4, 4, 2, 3, 4, 3, 4, 1, 2, 1, 0, 4, 0, 1, 3, 4, 3, 1, 1, 1, 0, 2, 1, 3, 1, 3, 0, 2, 3, 0, 4, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 4, 1, 3, 0, 4, 2, 0, 3, 0, 2, 4, 0, 3, 0, 0, 1, 2, 3, 4, 2, 3, 2, 2, 2, 4, 4, 0, 4, 1, 0, 1, 4, 4, 3, 4, 3, 1, 3, 2, 1, 4, 1, 0, 4, 2, 4, 2, 0, 4, 3, 4, 3, 2, 3, 2, 0, 2, 3, 3, 2, 0, 1, 4, 4, 3, 0, 4, 3, 3, 1, 2, 4, 1, 0, 3, 3, 0, 1, 2, 1, 4, 2, 4, 1, 4, 1, 2, 0, 4, 0, 4, 3, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 4, 1, 3, 4, 4, 1, 1, 3, 3, 0, 4, 4, 2, 3, 3, 4, 4, 0, 4, 3, 2, 4, 4, 0, 1, 3, 2, 4, 4, 4, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 4, 0, 4, 2, 0, 1, 3, 4, 1, 1, 2, 1, 0, 2, 2, 4, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 4, 2, 1, 1, 4, 4, 1, 4, 2, 0, 1, 3, 3, 3, 0, 4, 4, 0, 4, 3, 1, 1, 0, 0, 2, 4, 4, 2, 4, 2, 4, 2, 0, 3, 1, 4, 4, 4, 0, 2, 2, 0, 2, 2, 3, 0, 4, 1, 2, 1, 3, 0, 0, 4, 4, 0, 0, 2, 0, 3, 4]
pubkeycol1507 = [4, 3, 1, 4, 1, 2, 1, 2, 1, 0, 2, 3, 0, 0, 1, 0, 1, 2, 0, 4, 2, 4, 1, 2, 3, 2, 4, 2, 1, 3, 0, 2, 0, 4, 1, 2, 4, 0, 1, 2, 0, 0, 1, 4, 0, 3, 1, 4, 2, 4, 0, 2, 4, 2, 1, 4, 1, 2, 3, 1, 3, 0, 0, 2, 4, 3, 4, 2, 1, 2, 0, 2, 4, 1, 2, 1, 2, 0, 4, 2, 1, 0, 4, 0, 0, 1, 2, 3, 4, 1, 1, 0, 4, 4, 1, 2, 1, 0, 3, 2, 4, 4, 3, 1, 3, 1, 0, 0, 2, 1, 2, 2, 2, 4, 2, 2, 1, 1, 3, 1, 4, 0, 0, 4, 3, 2, 4, 4, 0, 0, 2, 2, 4, 0, 2, 2, 1, 0, 0, 3, 2, 4, 1, 3, 0, 0, 0, 3, 3, 1, 3, 3, 0, 0, 2, 0, 1, 3, 0, 3, 3, 3, 3, 2, 0, 4, 4, 0, 2, 3, 2, 1, 4, 4, 4, 3, 0, 2, 1, 3, 2, 3, 3, 3, 4, 2, 4, 1, 1, 0, 0, 0, 4, 0, 3, 1, 1, 3, 1, 0, 0, 4, 1, 2, 1, 3, 0, 1, 3, 4, 0, 3, 4, 3, 4, 0, 4, 2, 1, 3, 1, 0, 1, 4, 1, 1, 2, 4, 2, 3, 1, 3, 3, 0, 3, 0, 0, 1, 2, 4, 3, 0, 2, 2, 2, 1, 1, 3, 0, 2, 3, 3, 0, 4, 3, 0, 2, 1, 2, 3, 3, 0, 0, 1, 2, 3, 3, 4, 2, 0, 4, 1, 3, 2, 3, 0, 3, 1, 4, 2, 0, 0, 4, 4, 3, 3, 4, 4, 3, 1, 4, 0, 2, 2, 2, 0, 4, 0, 3, 1, 0, 3, 1, 0, 2, 3, 4, 4, 0, 4, 1, 4, 0, 3, 4, 4, 2, 2, 2, 2, 2, 0, 3, 2, 1, 0, 1, 4, 3, 3, 2, 4, 2, 0, 2, 3, 3, 2, 1, 4, 2, 4, 1, 1, 4, 4, 0, 3, 0, 0, 0, 0, 2, 4, 2, 3, 4, 4, 1, 0, 3, 4, 1, 1, 0, 0, 0, 1, 2, 0, 0, 4, 0, 4, 1, 2, 2, 4, 2, 2, 0, 4, 2, 3, 4, 2, 2, 2, 1, 0, 2, 0, 4, 0, 4, 4, 2, 0, 3, 3]
pubkeycol1508 = [2, 1, 4, 4, 0, 2, 0, 0, 0, 0, 4, 3, 0, 4, 1, 1, 1, 4, 4, 2, 0, 0, 1, 4, 0, 2, 2, 4, 3, 0, 3, 2, 3, 2, 4, 2, 3, 3, 0, 3, 1, 3, 0, 2, 4, 2, 3, 1, 0, 3, 3, 0, 3, 3, 4, 3, 2, 0, 3, 2, 4, 1, 2, 0, 2, 2, 3, 1, 3, 1, 2, 3, 3, 2, 3, 2, 2, 2, 4, 0, 3, 0, 3, 2, 3, 1, 2, 4, 3, 1, 0, 1, 3, 3, 4, 3, 4, 1, 2, 2, 0, 2, 4, 0, 2, 0, 0, 2, 4, 1, 0, 1, 2, 0, 0, 1, 3, 2, 0, 2, 4, 1, 2, 1, 2, 4, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 0, 1, 1, 2, 1, 1, 2, 1, 2, 4, 1, 4, 2, 0, 1, 4, 4, 3, 2, 3, 3, 2, 2, 2, 3, 4, 0, 1, 4, 3, 3, 1, 2, 4, 1, 2, 1, 1, 3, 1, 0, 2, 3, 2, 2, 0, 2, 0, 3, 4, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 2, 1, 3, 2, 0, 4, 2, 1, 0, 0, 2, 1, 4, 3, 1, 3, 2, 1, 3, 3, 0, 0, 2, 0, 1, 4, 3, 2, 1, 2, 0, 0, 3, 4, 3, 0, 2, 4, 1, 0, 3, 0, 0, 2, 4, 1, 4, 3, 1, 0, 2, 1, 4, 4, 0, 0, 3, 1, 0, 2, 0, 2, 3, 0, 1, 4, 0, 4, 0, 2, 1, 4, 0, 4, 1, 2, 1, 4, 1, 1, 1, 1, 3, 4, 0, 4, 1, 0, 0, 4, 1, 0, 1, 4, 0, 1, 4, 0, 4, 0, 2, 4, 3, 1, 3, 0, 3, 4, 2, 4, 2, 3, 4, 0, 3, 3, 4, 3, 0, 3, 4, 4, 4, 3, 2, 1, 3, 2, 1, 1, 0, 0, 3, 2, 4, 3, 4, 4, 2, 0, 0, 4, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 4, 4, 1, 1, 1, 2, 1, 1, 4, 2, 2, 4, 4, 4, 1, 2, 2, 4, 2, 4, 2, 1, 4, 2, 3, 4, 3, 4, 0, 4, 0, 1, 1, 1, 0, 4, 4, 2, 0, 2, 3, 0, 0, 1, 4, 2, 0, 3, 1]
pubkeycol1509 = [3, 2, 1, 3, 4, 3, 3, 1, 2, 3, 4, 3, 4, 3, 3, 4, 0, 4, 2, 4, 2, 4, 0, 3, 0, 0, 0, 4, 3, 2, 0, 4, 1, 3, 3, 3, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 3, 0, 2, 3, 3, 0, 2, 1, 3, 4, 2, 3, 0, 2, 2, 1, 2, 2, 3, 2, 4, 1, 3, 3, 0, 2, 4, 0, 3, 0, 1, 3, 0, 0, 2, 1, 0, 4, 0, 1, 1, 1, 2, 1, 4, 3, 1, 2, 3, 4, 1, 4, 2, 4, 0, 4, 3, 0, 2, 3, 2, 3, 1, 4, 2, 1, 0, 1, 2, 1, 3, 0, 1, 0, 1, 0, 3, 2, 0, 0, 4, 2, 2, 3, 4, 4, 4, 2, 1, 3, 4, 0, 3, 2, 2, 1, 3, 4, 2, 0, 3, 4, 4, 2, 3, 0, 1, 3, 2, 4, 2, 0, 2, 3, 0, 0, 2, 1, 0, 2, 2, 0, 1, 4, 0, 0, 2, 0, 3, 2, 3, 3, 2, 0, 3, 1, 1, 0, 3, 3, 2, 0, 4, 4, 1, 2, 1, 1, 2, 1, 4, 3, 1, 4, 0, 1, 2, 2, 0, 1, 3, 0, 1, 2, 4, 3, 0, 3, 3, 3, 3, 2, 1, 1, 2, 0, 0, 4, 1, 3, 0, 1, 1, 4, 2, 4, 3, 1, 3, 4, 2, 2, 4, 3, 4, 4, 2, 4, 4, 3, 1, 3, 0, 1, 0, 1, 0, 2, 3, 2, 3, 2, 2, 1, 4, 0, 1, 1, 0, 4, 0, 4, 4, 3, 4, 4, 2, 3, 4, 4, 2, 2, 2, 1, 4, 4, 0, 4, 0, 1, 2, 1, 0, 0, 4, 2, 0, 4, 0, 4, 4, 0, 2, 0, 2, 1, 4, 2, 2, 4, 0, 0, 0, 4, 0, 4, 2, 1, 1, 3, 4, 0, 0, 3, 3, 1, 3, 1, 2, 4, 0, 4, 4, 4, 4, 4, 1, 0, 1, 1, 2, 4, 0, 4, 4, 2, 3, 0, 4, 1, 4, 0, 2, 0, 2, 0, 1, 4, 0, 2, 3, 2, 1, 2, 0, 0, 1, 0, 3, 4, 4, 4, 2, 3, 0, 2, 1, 3, 2, 3, 4, 3, 3, 4, 2, 1, 1, 3, 1, 4, 4, 0, 2, 0, 4, 2, 2, 4, 0, 4, 2, 1, 0, 4]
pubkeycol1510 = [1, 2, 4, 3, 4, 3, 1, 4, 4, 4, 4, 1, 3, 3, 3, 1, 4, 1, 2, 4, 4, 4, 2, 2, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 2, 3, 1, 3, 0, 1, 3, 0, 4, 3, 4, 0, 2, 4, 1, 1, 2, 0, 0, 0, 4, 0, 3, 3, 0, 0, 3, 1, 0, 0, 0, 0, 0, 2, 1, 4, 4, 2, 4, 4, 1, 0, 3, 1, 0, 0, 1, 2, 2, 4, 1, 2, 3, 3, 0, 1, 0, 4, 4, 4, 1, 1, 0, 0, 2, 4, 1, 3, 2, 2, 0, 2, 0, 4, 0, 3, 2, 2, 0, 2, 3, 4, 0, 1, 1, 0, 1, 3, 3, 2, 3, 0, 0, 0, 3, 3, 1, 2, 2, 0, 3, 1, 3, 2, 3, 4, 1, 3, 1, 4, 1, 0, 2, 1, 3, 3, 1, 2, 0, 1, 1, 1, 2, 0, 4, 1, 3, 2, 0, 4, 1, 4, 3, 4, 0, 2, 4, 4, 1, 3, 3, 2, 1, 2, 4, 1, 1, 3, 0, 2, 3, 1, 3, 2, 2, 0, 2, 4, 3, 4, 4, 0, 1, 2, 0, 1, 2, 3, 0, 0, 1, 3, 4, 2, 2, 3, 3, 3, 2, 2, 3, 0, 3, 3, 0, 3, 1, 3, 0, 2, 2, 3, 4, 4, 0, 0, 1, 4, 3, 3, 3, 3, 3, 4, 3, 2, 2, 3, 0, 0, 0, 4, 2, 3, 1, 3, 4, 0, 3, 1, 4, 3, 1, 0, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 4, 1, 3, 4, 3, 0, 0, 2, 4, 3, 2, 1, 4, 4, 1, 2, 2, 0, 3, 0, 0, 4, 2, 1, 4, 3, 1, 1, 1, 4, 4, 0, 2, 2, 2, 1, 0, 3, 3, 0, 0, 4, 2, 2, 3, 2, 3, 0, 1, 4, 3, 0, 3, 0, 4, 0, 2, 1, 0, 2, 0, 0, 4, 1, 3, 2, 0, 1, 4, 3, 0, 0, 2, 4, 2, 0, 0, 1, 3, 0, 0, 1, 3, 4, 1, 3, 4, 3, 4, 4, 4, 0, 4, 4, 2, 3, 2, 1, 3, 3, 0, 2, 4, 2, 1, 2, 4, 0, 3, 0, 0, 3, 1, 1, 4, 2, 4, 1, 3, 0, 4, 4, 4, 1, 1, 2, 3, 1, 0, 2, 4, 0]
pubkeycol1511 = [3, 3, 0, 1, 4, 2, 4, 2, 2, 0, 0, 2, 4, 2, 2, 2, 2, 4, 3, 3, 3, 3, 2, 0, 4, 4, 1, 0, 3, 4, 2, 4, 1, 0, 2, 3, 3, 0, 4, 2, 0, 0, 0, 3, 4, 0, 1, 0, 3, 1, 4, 1, 0, 0, 3, 0, 4, 4, 1, 1, 0, 3, 0, 1, 1, 4, 1, 1, 1, 4, 4, 1, 4, 1, 4, 2, 0, 3, 0, 1, 4, 2, 1, 3, 0, 0, 2, 1, 2, 3, 3, 3, 2, 3, 1, 0, 3, 0, 1, 4, 1, 2, 1, 4, 1, 3, 3, 4, 3, 0, 0, 0, 0, 3, 3, 2, 3, 2, 3, 3, 3, 4, 3, 1, 2, 2, 0, 1, 4, 1, 4, 0, 1, 0, 1, 2, 0, 0, 1, 3, 4, 3, 4, 1, 1, 1, 3, 3, 1, 3, 2, 2, 3, 4, 0, 3, 4, 3, 1, 2, 3, 1, 4, 3, 4, 2, 3, 1, 4, 3, 1, 4, 1, 1, 0, 2, 2, 0, 3, 0, 3, 0, 2, 2, 0, 0, 4, 1, 1, 1, 3, 1, 0, 2, 4, 3, 1, 2, 1, 0, 4, 4, 3, 4, 2, 0, 0, 0, 2, 0, 2, 4, 4, 4, 1, 2, 0, 4, 1, 3, 3, 2, 0, 3, 3, 4, 3, 2, 4, 4, 4, 0, 4, 1, 1, 1, 3, 3, 2, 3, 1, 1, 1, 0, 0, 0, 2, 1, 3, 3, 1, 1, 3, 2, 0, 1, 0, 2, 0, 0, 4, 2, 0, 3, 0, 4, 4, 4, 2, 0, 0, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 2, 3, 3, 3, 4, 3, 4, 4, 4, 1, 2, 3, 2, 2, 4, 4, 3, 1, 3, 2, 1, 1, 4, 1, 0, 1, 0, 1, 1, 2, 2, 1, 3, 0, 4, 4, 1, 1, 3, 4, 0, 4, 1, 1, 4, 1, 1, 3, 2, 0, 1, 1, 4, 2, 1, 1, 3, 2, 2, 1, 2, 4, 2, 1, 1, 2, 0, 2, 2, 2, 4, 0, 0, 0, 4, 0, 1, 3, 3, 4, 3, 1, 2, 0, 4, 2, 1, 2, 0, 4, 0, 1, 4, 0, 3, 4, 3, 0, 4, 3, 0, 4, 0, 1, 1, 2, 3, 1, 3, 0, 1, 3, 4, 4, 0, 2, 1, 4, 4]
pubkeycol1512 = [2, 1, 2, 0, 1, 1, 1, 4, 2, 2, 2, 3, 2, 1, 2, 0, 4, 1, 1, 2, 4, 4, 3, 1, 0, 4, 3, 2, 1, 2, 4, 3, 4, 4, 1, 1, 1, 2, 3, 2, 2, 1, 0, 3, 0, 0, 0, 4, 3, 2, 3, 3, 0, 1, 1, 0, 4, 0, 3, 3, 2, 3, 2, 0, 2, 2, 4, 3, 2, 0, 1, 3, 4, 0, 2, 4, 0, 2, 1, 0, 4, 4, 0, 3, 4, 0, 1, 1, 2, 0, 3, 2, 4, 1, 1, 1, 2, 1, 2, 3, 4, 0, 3, 1, 4, 1, 1, 1, 0, 4, 4, 3, 0, 0, 3, 2, 2, 0, 2, 2, 0, 1, 1, 1, 4, 0, 0, 2, 4, 3, 2, 0, 4, 0, 0, 2, 2, 2, 1, 4, 4, 0, 1, 3, 3, 4, 0, 2, 4, 1, 2, 3, 0, 4, 4, 2, 3, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 3, 0, 3, 0, 1, 2, 1, 4, 1, 2, 2, 3, 3, 1, 1, 4, 0, 2, 2, 2, 4, 2, 3, 4, 1, 2, 2, 3, 3, 2, 2, 3, 1, 1, 0, 2, 1, 3, 1, 1, 4, 4, 4, 4, 4, 1, 0, 1, 0, 0, 2, 4, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 4, 0, 4, 0, 4, 2, 0, 4, 1, 4, 4, 2, 0, 0, 4, 4, 0, 0, 3, 4, 3, 3, 4, 2, 2, 1, 2, 0, 4, 4, 1, 0, 1, 3, 1, 1, 3, 1, 4, 0, 1, 1, 3, 4, 0, 2, 0, 1, 2, 1, 3, 1, 3, 0, 1, 1, 4, 3, 1, 2, 2, 0, 3, 0, 3, 2, 1, 0, 3, 2, 3, 3, 0, 2, 2, 1, 0, 1, 0, 1, 4, 3, 0, 2, 2, 1, 1, 1, 4, 4, 0, 0, 0, 1, 2, 1, 4, 1, 0, 2, 3, 0, 3, 0, 0, 0, 4, 4, 0, 1, 1, 3, 1, 3, 2, 4, 1, 0, 3, 4, 3, 0, 4, 1, 4, 3, 3, 4, 2, 4, 1, 4, 0, 3, 3, 3, 1, 1, 4, 4, 4, 3, 1, 1, 3, 4, 2, 0, 3, 3, 0]
pubkeycol1513 = [2, 1, 2, 2, 2, 1, 4, 4, 3, 4, 0, 1, 0, 1, 0, 4, 4, 3, 3, 2, 4, 2, 2, 1, 3, 0, 2, 4, 3, 0, 1, 2, 0, 0, 4, 2, 0, 3, 0, 0, 1, 4, 4, 0, 0, 0, 3, 4, 4, 2, 2, 0, 4, 0, 1, 0, 4, 0, 4, 0, 2, 1, 3, 0, 3, 0, 0, 2, 0, 0, 3, 2, 2, 1, 4, 2, 0, 3, 4, 3, 4, 2, 1, 2, 1, 0, 3, 3, 3, 4, 3, 1, 3, 4, 1, 1, 2, 2, 1, 0, 0, 3, 4, 4, 1, 3, 3, 0, 1, 0, 0, 0, 3, 2, 1, 3, 3, 4, 2, 0, 4, 0, 0, 2, 4, 2, 2, 0, 4, 3, 2, 3, 4, 0, 4, 0, 2, 0, 4, 2, 4, 3, 1, 1, 1, 4, 1, 2, 0, 3, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 3, 2, 4, 0, 2, 1, 4, 0, 2, 4, 2, 3, 0, 3, 0, 3, 3, 0, 1, 3, 1, 3, 4, 2, 2, 2, 3, 1, 2, 3, 3, 3, 4, 3, 2, 3, 3, 1, 0, 4, 4, 4, 2, 0, 3, 0, 4, 0, 0, 0, 2, 2, 3, 0, 0, 1, 4, 3, 0, 2, 1, 3, 3, 2, 0, 1, 4, 1, 0, 1, 4, 1, 4, 1, 0, 1, 2, 2, 3, 0, 1, 0, 4, 3, 0, 0, 1, 0, 4, 0, 3, 4, 4, 3, 1, 1, 2, 0, 0, 0, 2, 3, 3, 3, 1, 0, 2, 2, 1, 4, 0, 2, 1, 2, 3, 1, 0, 3, 4, 1, 4, 3, 3, 1, 3, 0, 2, 1, 2, 0, 1, 0, 2, 4, 1, 2, 3, 2, 2, 2, 2, 2, 0, 3, 4, 0, 0, 0, 0, 2, 1, 2, 4, 3, 1, 3, 2, 4, 0, 4, 4, 2, 3, 2, 4, 0, 4, 0, 4, 0, 1, 2, 3, 0, 1, 2, 4, 0, 1, 4, 3, 0, 3, 3, 4, 2, 4, 4, 0, 4, 3, 0, 1, 1, 0, 2, 1, 0, 4, 1, 3, 2, 3, 1, 3, 0, 4, 1, 2, 0, 3, 1, 4, 2, 1, 1, 3, 1, 0, 2, 3, 1, 1, 2, 2, 0, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4]
pubkeycol1514 = [3, 1, 4, 0, 2, 0, 0, 2, 2, 4, 1, 0, 2, 2, 1, 3, 4, 1, 3, 2, 2, 2, 4, 4, 3, 2, 2, 4, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 3, 1, 2, 1, 4, 3, 4, 2, 1, 3, 2, 2, 0, 4, 2, 3, 4, 0, 3, 0, 2, 3, 0, 3, 3, 1, 4, 3, 1, 4, 2, 2, 0, 2, 4, 3, 1, 0, 3, 3, 1, 2, 2, 1, 1, 3, 2, 1, 2, 1, 1, 0, 4, 2, 0, 4, 3, 4, 0, 0, 1, 4, 4, 1, 2, 2, 4, 3, 4, 0, 4, 3, 0, 2, 0, 0, 1, 4, 0, 0, 0, 4, 0, 1, 1, 0, 4, 0, 1, 0, 3, 0, 1, 1, 1, 2, 2, 4, 1, 0, 2, 3, 2, 1, 1, 2, 2, 4, 2, 3, 2, 0, 0, 1, 3, 4, 2, 0, 4, 2, 0, 3, 3, 4, 0, 2, 2, 3, 0, 3, 0, 1, 4, 1, 0, 4, 2, 3, 0, 4, 0, 1, 3, 3, 2, 0, 2, 2, 1, 2, 3, 2, 3, 3, 2, 0, 0, 3, 4, 2, 0, 1, 4, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 0, 3, 1, 3, 3, 3, 2, 0, 2, 2, 2, 3, 2, 2, 3, 4, 0, 4, 0, 3, 1, 3, 2, 0, 3, 4, 0, 4, 2, 0, 4, 0, 1, 1, 3, 2, 4, 2, 4, 1, 1, 2, 0, 3, 1, 4, 0, 0, 2, 1, 3, 3, 1, 0, 4, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 0, 3, 0, 2, 0, 1, 2, 0, 0, 0, 3, 2, 3, 4, 2, 2, 2, 0, 1, 4, 4, 0, 3, 0, 3, 0, 1, 4, 1, 0, 4, 0, 1, 2, 3, 2, 2, 1, 4, 3, 2, 2, 3, 1, 3, 1, 3, 4, 3, 3, 2, 0, 4, 4, 4, 3, 3, 3, 1, 4, 0, 3, 4, 4, 1, 2, 1, 3, 2, 2, 0, 2, 4, 0, 4, 1, 2, 3, 1, 2, 3, 1, 1, 4, 2, 0, 1, 3, 0, 1, 1, 1, 3, 3, 3, 3, 1, 2, 1, 0, 2, 3, 1, 1, 1, 1, 1, 1, 1, 3, 0, 3, 3, 2, 3, 1, 0, 4, 0, 2]
pubkeycol1515 = [4, 2, 3, 4, 3, 2, 3, 3, 4, 0, 3, 3, 4, 1, 2, 0, 1, 0, 1, 3, 0, 3, 3, 3, 0, 3, 4, 1, 1, 4, 1, 0, 0, 1, 2, 3, 2, 2, 2, 1, 1, 0, 3, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 4, 1, 1, 4, 2, 0, 2, 4, 4, 4, 3, 4, 3, 4, 1, 3, 2, 0, 4, 4, 3, 3, 1, 3, 2, 0, 0, 2, 4, 2, 2, 0, 0, 3, 0, 0, 2, 3, 0, 2, 1, 0, 1, 2, 3, 0, 1, 4, 1, 2, 4, 3, 3, 4, 3, 0, 1, 2, 2, 2, 1, 4, 2, 0, 4, 4, 1, 4, 1, 4, 0, 2, 4, 1, 0, 2, 0, 1, 2, 0, 3, 4, 1, 1, 3, 0, 3, 3, 4, 4, 3, 3, 1, 1, 0, 0, 0, 1, 1, 3, 4, 4, 4, 2, 4, 0, 3, 3, 3, 3, 2, 2, 1, 2, 0, 0, 2, 3, 4, 1, 2, 2, 2, 2, 2, 0, 0, 0, 4, 4, 1, 0, 2, 1, 3, 1, 2, 2, 4, 4, 2, 1, 2, 3, 2, 4, 0, 1, 1, 1, 3, 3, 3, 3, 3, 0, 0, 1, 2, 4, 1, 0, 1, 4, 0, 1, 1, 2, 4, 1, 1, 1, 0, 4, 4, 1, 3, 0, 0, 2, 1, 2, 4, 3, 2, 3, 1, 4, 3, 2, 1, 1, 4, 2, 1, 3, 3, 1, 3, 4, 1, 4, 2, 4, 3, 1, 1, 4, 1, 1, 2, 3, 2, 4, 2, 4, 0, 2, 4, 2, 4, 3, 4, 4, 1, 4, 4, 2, 1, 4, 3, 0, 0, 3, 0, 0, 3, 3, 1, 0, 4, 1, 4, 4, 4, 3, 3, 0, 4, 3, 4, 1, 4, 4, 2, 4, 0, 0, 1, 4, 1, 3, 2, 3, 3, 3, 4, 2, 2, 4, 2, 0, 2, 1, 2, 0, 3, 3, 3, 1, 3, 4, 4, 0, 4, 4, 3, 3, 4, 2, 4, 0, 0, 2, 4, 4, 3, 0, 0, 1, 0, 1, 2, 4, 4, 0, 4, 2, 3, 1, 0, 2, 0, 0, 0, 3, 2, 1, 3, 4, 1, 3, 1, 0, 1, 2, 2, 2, 4, 3, 0, 1, 1, 1, 0, 3, 1, 0, 3, 1, 4, 2, 2, 1, 4, 2]
pubkeycol1516 = [2, 1, 0, 0, 2, 0, 4, 2, 0, 2, 4, 0, 4, 2, 2, 3, 3, 1, 3, 1, 2, 3, 4, 3, 1, 0, 1, 4, 4, 3, 0, 4, 3, 2, 1, 2, 0, 3, 2, 3, 1, 3, 2, 4, 2, 0, 0, 0, 1, 3, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 4, 1, 2, 1, 2, 2, 1, 3, 2, 3, 1, 3, 2, 0, 1, 3, 3, 2, 1, 1, 3, 3, 0, 3, 3, 2, 4, 1, 2, 4, 1, 1, 3, 0, 3, 1, 3, 2, 2, 0, 4, 1, 2, 2, 4, 3, 4, 2, 4, 4, 0, 4, 1, 1, 2, 1, 1, 2, 3, 1, 0, 0, 0, 1, 3, 0, 2, 4, 4, 0, 4, 0, 3, 3, 4, 2, 0, 1, 4, 2, 3, 0, 0, 2, 0, 1, 2, 4, 3, 0, 4, 3, 2, 4, 3, 2, 1, 1, 4, 4, 3, 0, 2, 4, 0, 2, 4, 3, 2, 4, 0, 4, 2, 1, 1, 4, 0, 3, 4, 1, 1, 0, 3, 0, 1, 0, 4, 4, 0, 0, 0, 2, 2, 1, 3, 0, 4, 3, 0, 1, 3, 2, 2, 3, 1, 2, 0, 2, 0, 3, 2, 2, 0, 1, 2, 3, 1, 2, 3, 1, 4, 2, 2, 2, 4, 1, 4, 2, 1, 2, 0, 2, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 2, 1, 4, 0, 0, 0, 3, 2, 4, 2, 2, 3, 4, 1, 0, 4, 0, 4, 4, 4, 1, 0, 1, 1, 4, 0, 1, 0, 3, 0, 4, 0, 1, 2, 3, 3, 1, 1, 3, 4, 1, 1, 3, 1, 3, 3, 3, 4, 3, 0, 0, 2, 4, 0, 0, 4, 3, 4, 0, 3, 1, 2, 4, 0, 0, 3, 2, 3, 3, 3, 4, 3, 3, 1, 2, 3, 3, 3, 0, 1, 0, 2, 0, 4, 0, 0, 2, 2, 3, 2, 2, 1, 3, 0, 0, 1, 0, 3, 4, 2, 1, 3, 1, 0, 4, 0, 1, 1, 4, 2, 0, 2, 3, 4, 2, 1, 1, 1, 3, 3, 4, 0, 1, 4, 4, 3, 4, 4, 1, 1, 0, 1, 1, 1, 1, 4, 1, 4, 0, 2, 4, 4, 3, 0, 0, 3, 0, 4, 0, 2, 0, 1, 4, 0, 4, 4, 1, 2]
pubkeycol1517 = [3, 0, 3, 2, 3, 4, 3, 4, 0, 2, 1, 4, 3, 4, 4, 4, 4, 3, 3, 4, 0, 1, 4, 2, 3, 3, 4, 0, 4, 3, 0, 0, 4, 1, 1, 3, 4, 3, 2, 0, 4, 3, 4, 4, 4, 1, 4, 2, 3, 4, 0, 4, 1, 1, 3, 3, 3, 0, 4, 4, 1, 3, 0, 4, 3, 0, 1, 1, 4, 0, 0, 3, 0, 2, 2, 1, 0, 4, 3, 1, 0, 3, 0, 3, 1, 2, 2, 1, 4, 1, 1, 2, 2, 0, 2, 0, 4, 0, 4, 2, 0, 2, 1, 3, 1, 0, 4, 1, 4, 1, 4, 4, 0, 4, 4, 1, 3, 3, 3, 3, 0, 0, 2, 4, 4, 4, 0, 3, 0, 0, 1, 4, 0, 0, 1, 4, 3, 4, 3, 4, 2, 3, 0, 3, 0, 4, 3, 2, 4, 4, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 3, 0, 3, 3, 3, 2, 3, 3, 2, 3, 4, 0, 2, 2, 3, 0, 4, 1, 1, 3, 4, 4, 1, 4, 2, 2, 2, 1, 4, 1, 1, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 2, 4, 1, 2, 3, 2, 3, 0, 1, 3, 4, 1, 3, 3, 1, 1, 2, 0, 3, 0, 1, 4, 1, 0, 4, 3, 2, 0, 3, 1, 1, 0, 1, 4, 4, 4, 2, 3, 2, 3, 2, 0, 0, 4, 1, 4, 0, 3, 1, 4, 2, 4, 2, 4, 2, 2, 2, 1, 0, 3, 1, 2, 2, 4, 2, 1, 4, 1, 3, 2, 1, 0, 0, 4, 0, 4, 0, 4, 1, 2, 1, 0, 1, 1, 4, 3, 1, 2, 1, 2, 3, 1, 3, 4, 4, 3, 4, 1, 2, 1, 3, 0, 2, 0, 3, 3, 3, 3, 4, 1, 4, 4, 4, 2, 0, 3, 3, 3, 2, 0, 4, 0, 4, 0, 3, 0, 0, 0, 2, 2, 1, 4, 1, 1, 3, 3, 0, 0, 2, 3, 4, 1, 1, 2, 0, 3, 1, 3, 2, 3, 4, 1, 1, 4, 0, 4, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 0, 1, 2, 4, 2, 0, 4, 3, 0, 2, 3, 4, 2, 4, 4, 2, 3, 1, 1, 0, 3, 2, 3, 1, 2, 4, 4, 4, 1, 0, 1]
pubkeycol1518 = [0, 4, 1, 3, 4, 2, 3, 0, 4, 4, 4, 1, 3, 0, 0, 3, 4, 0, 3, 0, 3, 1, 4, 0, 1, 4, 1, 0, 1, 0, 1, 3, 4, 3, 2, 2, 4, 4, 2, 4, 3, 3, 1, 0, 4, 4, 2, 3, 2, 1, 3, 2, 1, 4, 2, 3, 1, 0, 1, 4, 2, 2, 2, 0, 4, 4, 2, 1, 0, 3, 0, 2, 2, 3, 4, 0, 3, 0, 4, 4, 3, 4, 0, 4, 1, 0, 3, 4, 2, 0, 2, 3, 1, 3, 2, 4, 0, 2, 4, 4, 1, 2, 3, 2, 2, 4, 0, 0, 2, 3, 2, 2, 2, 1, 1, 4, 1, 0, 2, 0, 3, 1, 0, 0, 3, 0, 4, 4, 2, 0, 4, 0, 4, 4, 4, 4, 4, 1, 3, 1, 0, 3, 3, 1, 4, 4, 4, 4, 2, 4, 2, 1, 0, 3, 3, 2, 1, 4, 4, 1, 4, 2, 0, 3, 2, 3, 1, 3, 1, 2, 1, 0, 1, 3, 2, 3, 4, 0, 0, 2, 1, 1, 0, 4, 1, 1, 0, 4, 4, 3, 4, 1, 3, 3, 1, 0, 0, 2, 4, 2, 4, 2, 0, 3, 3, 0, 2, 3, 1, 0, 2, 4, 2, 3, 0, 0, 3, 0, 1, 1, 4, 3, 1, 2, 3, 0, 0, 3, 1, 1, 1, 1, 3, 4, 2, 2, 4, 3, 1, 1, 0, 4, 2, 1, 2, 0, 1, 3, 4, 1, 0, 1, 3, 2, 3, 1, 1, 4, 3, 4, 2, 0, 1, 3, 3, 2, 3, 3, 3, 2, 2, 0, 1, 0, 2, 0, 4, 1, 1, 3, 0, 2, 3, 4, 3, 4, 1, 3, 0, 4, 1, 4, 2, 3, 3, 0, 1, 4, 0, 1, 4, 2, 3, 3, 0, 2, 2, 3, 4, 3, 2, 1, 0, 3, 2, 1, 0, 1, 4, 4, 3, 3, 3, 4, 1, 3, 3, 0, 0, 4, 4, 0, 0, 2, 3, 0, 2, 4, 4, 2, 2, 3, 2, 2, 4, 0, 2, 2, 0, 4, 1, 3, 0, 0, 0, 3, 1, 4, 2, 4, 0, 2, 0, 0, 2, 2, 0, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 3, 0, 2, 3, 0, 4, 4, 4, 4, 3, 3, 1, 2, 4, 3, 0]
pubkeycol1519 = [4, 2, 0, 4, 2, 4, 3, 2, 4, 3, 2, 0, 3, 3, 4, 1, 1, 1, 3, 3, 1, 3, 3, 2, 2, 0, 0, 0, 0, 3, 1, 4, 2, 1, 1, 0, 3, 3, 0, 1, 0, 4, 4, 2, 0, 0, 2, 1, 4, 4, 2, 3, 0, 4, 3, 2, 0, 4, 0, 4, 2, 0, 0, 2, 2, 3, 0, 2, 3, 2, 3, 2, 3, 2, 0, 2, 1, 0, 4, 2, 0, 0, 4, 1, 4, 0, 2, 3, 3, 4, 0, 1, 2, 1, 1, 0, 3, 4, 2, 4, 3, 2, 3, 0, 1, 1, 3, 3, 4, 3, 2, 4, 1, 0, 1, 4, 3, 3, 4, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 4, 1, 2, 2, 1, 3, 4, 4, 3, 0, 4, 4, 3, 4, 4, 2, 4, 2, 2, 1, 2, 1, 1, 2, 4, 3, 4, 1, 2, 3, 4, 2, 4, 0, 3, 0, 1, 4, 3, 3, 4, 1, 2, 2, 0, 3, 2, 0, 3, 2, 4, 1, 0, 1, 3, 4, 1, 0, 3, 3, 1, 2, 3, 4, 0, 0, 1, 3, 1, 2, 1, 1, 1, 4, 2, 1, 1, 4, 3, 3, 4, 3, 3, 0, 4, 0, 4, 3, 1, 1, 4, 3, 2, 2, 2, 0, 2, 0, 4, 0, 3, 0, 2, 3, 4, 4, 4, 0, 3, 3, 4, 2, 2, 1, 2, 3, 1, 1, 3, 1, 1, 3, 4, 0, 1, 3, 3, 2, 0, 4, 0, 4, 2, 4, 4, 4, 0, 2, 4, 0, 1, 0, 3, 3, 2, 2, 4, 0, 3, 2, 3, 0, 0, 2, 3, 1, 4, 3, 1, 3, 3, 4, 3, 3, 4, 0, 0, 2, 0, 4, 0, 3, 4, 1, 4, 3, 2, 4, 3, 0, 1, 1, 2, 2, 2, 1, 0, 3, 2, 2, 4, 1, 2, 1, 1, 4, 4, 4, 0, 4, 1, 4, 4, 1, 4, 1, 0, 1, 0, 0, 4, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 3, 1, 3, 4, 1, 4, 4, 4, 4, 3, 2, 1, 2, 0, 2, 4, 1, 0, 2, 2, 2, 2, 2, 3, 2, 4, 4, 0, 3, 0, 2, 4, 0, 3, 0, 2, 3, 4, 3, 2, 1, 1, 3, 0, 4, 4, 0, 1]
pubkeycol1520 = [0, 2, 4, 1, 2, 4, 2, 1, 4, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 3, 4, 4, 1, 0, 0, 3, 3, 0, 4, 1, 1, 1, 1, 0, 3, 3, 1, 1, 3, 2, 0, 2, 2, 0, 0, 4, 2, 3, 0, 2, 3, 2, 0, 3, 1, 4, 2, 0, 1, 4, 0, 3, 2, 4, 0, 2, 3, 1, 4, 1, 0, 3, 1, 0, 4, 0, 0, 2, 3, 4, 0, 0, 2, 0, 0, 3, 3, 2, 1, 4, 2, 1, 0, 4, 0, 4, 2, 3, 0, 3, 2, 2, 0, 3, 4, 3, 1, 4, 2, 2, 1, 1, 0, 4, 4, 0, 0, 0, 2, 4, 4, 0, 3, 1, 3, 4, 3, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 4, 2, 3, 1, 4, 4, 4, 2, 3, 4, 1, 2, 3, 0, 4, 1, 1, 1, 4, 1, 3, 0, 1, 3, 4, 0, 2, 3, 2, 4, 4, 2, 3, 3, 3, 3, 2, 1, 4, 0, 1, 0, 4, 1, 3, 3, 1, 4, 2, 3, 1, 0, 3, 2, 1, 2, 0, 3, 1, 3, 0, 4, 4, 0, 4, 3, 3, 1, 0, 0, 0, 2, 2, 1, 0, 4, 3, 2, 3, 0, 0, 3, 2, 0, 4, 0, 2, 0, 0, 3, 3, 1, 4, 4, 1, 1, 2, 4, 0, 1, 4, 2, 2, 1, 0, 2, 4, 4, 2, 1, 4, 3, 2, 3, 3, 2, 0, 4, 2, 2, 1, 1, 0, 3, 0, 3, 2, 4, 3, 0, 0, 4, 2, 2, 0, 3, 1, 3, 4, 2, 3, 2, 4, 3, 2, 0, 0, 1, 4, 3, 4, 4, 3, 4, 4, 3, 2, 3, 4, 3, 2, 3, 1, 2, 2, 1, 3, 2, 4, 3, 4, 1, 0, 4, 0, 3, 0, 4, 0, 2, 1, 0, 0, 3, 1, 3, 3, 3, 1, 4, 1, 4, 4, 1, 0, 0, 0, 0, 1, 1, 4, 0, 0, 4, 2, 3, 4, 4, 3, 0, 4, 4, 2, 0, 4, 0, 2, 2, 1, 3, 1, 2, 3, 1, 3, 1, 4, 2, 3, 0, 3, 0, 1, 2, 2, 2, 2, 0, 2, 4, 4, 1, 1, 1, 3, 4, 3, 3, 2, 2, 0, 2, 0, 2, 3, 2, 1, 4, 1, 2, 0, 4]
pubkeycol1521 = [2, 4, 0, 4, 1, 4, 4, 2, 4, 2, 3, 4, 1, 1, 0, 0, 3, 0, 1, 2, 4, 4, 3, 4, 0, 2, 2, 2, 1, 3, 3, 0, 2, 1, 2, 1, 1, 4, 2, 0, 0, 1, 2, 0, 3, 1, 0, 3, 1, 2, 2, 4, 0, 3, 0, 0, 2, 1, 2, 0, 0, 4, 4, 0, 0, 1, 2, 2, 2, 3, 2, 3, 0, 3, 4, 4, 0, 4, 2, 2, 4, 2, 3, 1, 1, 2, 4, 3, 3, 1, 0, 0, 3, 4, 3, 3, 1, 2, 1, 0, 0, 3, 2, 0, 2, 0, 4, 0, 2, 1, 2, 2, 3, 0, 1, 1, 4, 1, 0, 1, 2, 2, 4, 2, 4, 2, 1, 0, 2, 1, 4, 3, 4, 3, 0, 4, 2, 4, 4, 2, 4, 0, 2, 4, 1, 4, 3, 3, 2, 0, 2, 3, 4, 1, 4, 4, 1, 3, 1, 2, 4, 0, 0, 3, 3, 1, 4, 4, 2, 3, 2, 4, 1, 2, 2, 3, 1, 4, 0, 1, 1, 2, 0, 4, 1, 1, 4, 3, 0, 3, 3, 3, 1, 1, 4, 2, 4, 2, 3, 4, 3, 2, 3, 0, 3, 0, 0, 2, 2, 1, 1, 2, 3, 2, 1, 3, 0, 0, 2, 3, 2, 4, 1, 1, 3, 0, 2, 1, 1, 4, 0, 3, 0, 4, 4, 0, 0, 3, 4, 3, 3, 3, 3, 0, 3, 2, 2, 2, 4, 2, 0, 4, 3, 2, 0, 3, 4, 1, 0, 3, 0, 1, 3, 1, 2, 4, 2, 4, 1, 1, 0, 1, 3, 3, 3, 1, 2, 0, 0, 3, 1, 3, 0, 1, 4, 2, 4, 4, 4, 3, 3, 3, 1, 1, 0, 0, 4, 4, 3, 4, 0, 2, 1, 3, 3, 2, 4, 2, 1, 2, 1, 3, 3, 0, 2, 4, 2, 1, 3, 3, 4, 4, 3, 1, 4, 2, 1, 4, 1, 4, 3, 3, 2, 0, 1, 1, 1, 2, 3, 1, 0, 3, 0, 4, 2, 3, 0, 4, 0, 4, 2, 0, 1, 2, 2, 2, 1, 3, 1, 4, 4, 1, 4, 3, 2, 2, 1, 3, 0, 2, 2, 2, 3, 1, 1, 4, 1, 1, 3, 3, 0, 2, 2, 1, 3, 4, 4, 3, 3, 2, 2, 0, 1, 1, 0, 3, 4, 0, 0, 2]
pubkeycol1522 = [0, 3, 3, 1, 1, 3, 0, 0, 3, 2, 4, 1, 3, 1, 3, 0, 4, 3, 2, 4, 3, 2, 4, 3, 1, 0, 3, 2, 3, 4, 3, 4, 3, 2, 1, 0, 2, 0, 3, 3, 4, 1, 4, 3, 3, 2, 4, 4, 1, 2, 2, 1, 4, 0, 0, 4, 2, 2, 1, 3, 3, 1, 1, 2, 1, 0, 2, 2, 2, 4, 2, 0, 2, 2, 3, 2, 0, 1, 1, 4, 3, 0, 4, 2, 4, 4, 4, 4, 3, 2, 0, 2, 2, 3, 2, 4, 1, 0, 4, 2, 1, 0, 1, 2, 4, 2, 3, 3, 2, 3, 0, 3, 4, 1, 3, 4, 4, 1, 2, 0, 3, 1, 3, 3, 0, 0, 4, 1, 3, 3, 3, 1, 0, 0, 3, 4, 1, 1, 2, 3, 2, 2, 3, 0, 4, 0, 3, 2, 2, 3, 0, 2, 3, 2, 0, 2, 2, 3, 3, 1, 3, 3, 1, 1, 1, 3, 0, 1, 1, 2, 4, 3, 4, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 3, 4, 3, 2, 0, 4, 1, 1, 1, 2, 3, 3, 3, 2, 0, 1, 2, 3, 2, 2, 2, 4, 4, 0, 1, 2, 0, 2, 4, 4, 2, 4, 3, 1, 0, 2, 0, 4, 1, 0, 3, 0, 0, 0, 0, 4, 3, 3, 0, 1, 2, 3, 1, 0, 2, 1, 1, 3, 4, 4, 1, 0, 3, 3, 4, 0, 0, 3, 0, 0, 4, 3, 4, 0, 2, 3, 1, 3, 1, 4, 2, 1, 3, 4, 1, 1, 1, 4, 3, 2, 4, 1, 2, 0, 0, 0, 4, 0, 3, 3, 4, 2, 4, 2, 4, 1, 3, 3, 1, 1, 3, 4, 0, 0, 4, 2, 1, 0, 3, 1, 0, 2, 0, 2, 3, 3, 2, 0, 4, 0, 2, 0, 0, 4, 4, 3, 3, 0, 0, 0, 0, 3, 0, 2, 2, 4, 4, 2, 2, 4, 4, 2, 0, 1, 3, 1, 3, 2, 0, 3, 3, 0, 0, 1, 4, 4, 1, 3, 2, 1, 2, 0, 2, 1, 1, 3, 4, 3, 1, 2, 4, 1, 3, 0, 2, 0, 3, 0, 1, 2, 0, 4, 4, 3, 4, 2, 4, 2, 1, 0, 4, 4, 1, 2, 3, 0, 3, 0, 2, 3, 0, 1, 3, 4, 3, 1, 4]
pubkeycol1523 = [4, 1, 1, 1, 4, 0, 1, 0, 3, 0, 4, 0, 2, 1, 0, 0, 1, 2, 3, 0, 1, 0, 0, 2, 3, 4, 1, 2, 3, 3, 2, 0, 3, 4, 0, 3, 1, 1, 0, 4, 2, 3, 3, 0, 4, 1, 3, 0, 4, 4, 1, 0, 0, 0, 0, 1, 4, 2, 3, 4, 0, 3, 4, 4, 4, 0, 3, 1, 1, 4, 2, 1, 4, 3, 4, 1, 3, 0, 0, 2, 1, 1, 3, 1, 1, 2, 1, 0, 1, 4, 3, 0, 3, 2, 2, 0, 4, 0, 0, 4, 1, 0, 3, 1, 4, 0, 4, 2, 1, 0, 2, 2, 2, 1, 1, 0, 4, 2, 4, 0, 4, 0, 0, 1, 1, 3, 2, 1, 4, 1, 1, 0, 0, 4, 4, 3, 4, 3, 2, 4, 0, 3, 1, 4, 0, 4, 4, 1, 4, 2, 2, 3, 1, 2, 3, 4, 4, 1, 4, 1, 1, 0, 1, 2, 0, 1, 4, 1, 3, 4, 1, 0, 2, 4, 3, 0, 3, 1, 3, 4, 3, 4, 1, 0, 1, 3, 1, 0, 2, 3, 2, 0, 4, 4, 0, 0, 0, 0, 0, 1, 3, 1, 2, 2, 4, 0, 2, 3, 1, 3, 3, 1, 3, 2, 1, 3, 3, 4, 3, 2, 4, 2, 2, 4, 1, 3, 2, 4, 2, 0, 3, 1, 4, 0, 4, 1, 4, 4, 2, 0, 3, 3, 4, 3, 4, 0, 0, 3, 1, 0, 0, 0, 3, 3, 3, 2, 3, 0, 1, 3, 2, 3, 1, 1, 3, 3, 0, 3, 0, 3, 4, 0, 0, 0, 2, 1, 3, 0, 1, 2, 2, 3, 4, 3, 1, 1, 3, 0, 3, 0, 3, 3, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 4, 2, 3, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 4, 3, 4, 3, 3, 3, 1, 0, 2, 0, 1, 4, 2, 2, 4, 1, 1, 4, 1, 4, 0, 4, 1, 0, 4, 1, 3, 4, 1, 3, 3, 3, 4, 4, 1, 3, 4, 2, 3, 0, 2, 1, 0, 4, 4, 2, 2, 3, 1, 0, 4, 0, 4, 2, 4, 2, 2, 2, 0, 3, 1, 0, 4, 3, 3, 4, 4, 2, 4, 1, 0, 2, 1, 1, 1, 0, 1, 1, 4, 3]
pubkeycol1524 = [0, 2, 1, 2, 3, 3, 0, 0, 4, 2, 0, 1, 2, 2, 1, 4, 0, 1, 2, 1, 4, 4, 3, 4, 4, 3, 2, 2, 2, 1, 2, 3, 3, 0, 1, 2, 0, 2, 0, 4, 1, 4, 4, 1, 2, 3, 4, 0, 3, 1, 0, 4, 4, 0, 1, 1, 3, 0, 4, 3, 4, 4, 1, 1, 0, 2, 4, 3, 3, 3, 4, 1, 2, 2, 1, 0, 2, 0, 3, 3, 2, 2, 1, 0, 2, 2, 2, 0, 2, 4, 4, 1, 2, 4, 2, 4, 3, 1, 2, 0, 2, 0, 2, 2, 3, 4, 1, 1, 2, 4, 0, 1, 1, 4, 4, 0, 2, 2, 3, 4, 1, 4, 1, 4, 4, 2, 4, 0, 3, 3, 0, 1, 0, 2, 4, 1, 0, 3, 1, 1, 2, 3, 3, 4, 0, 2, 3, 0, 2, 1, 3, 0, 3, 1, 3, 4, 1, 4, 3, 4, 0, 3, 2, 3, 2, 0, 0, 0, 3, 0, 0, 0, 3, 2, 3, 3, 0, 3, 0, 3, 0, 0, 1, 3, 1, 3, 3, 0, 2, 3, 4, 2, 2, 3, 2, 4, 2, 4, 3, 1, 4, 3, 2, 4, 2, 2, 3, 4, 4, 1, 4, 4, 4, 1, 0, 0, 4, 4, 2, 2, 1, 4, 3, 3, 4, 0, 4, 4, 2, 3, 2, 4, 4, 2, 3, 2, 4, 2, 2, 0, 0, 1, 3, 3, 2, 4, 3, 3, 2, 3, 1, 4, 2, 4, 3, 1, 3, 4, 2, 3, 4, 3, 1, 0, 4, 1, 3, 1, 1, 2, 3, 4, 0, 1, 3, 0, 2, 4, 1, 0, 1, 0, 1, 2, 0, 3, 3, 3, 4, 3, 3, 4, 2, 1, 2, 3, 4, 3, 4, 2, 2, 1, 3, 0, 2, 4, 2, 1, 2, 3, 0, 4, 4, 3, 4, 0, 4, 3, 4, 3, 2, 0, 2, 2, 2, 3, 3, 0, 2, 3, 3, 2, 2, 2, 3, 1, 3, 2, 1, 4, 2, 3, 1, 0, 1, 2, 2, 1, 1, 0, 4, 3, 0, 3, 0, 3, 4, 3, 1, 0, 3, 0, 4, 3, 0, 0, 2, 0, 2, 0, 3, 1, 1, 1, 0, 3, 4, 4, 2, 3, 0, 4, 2, 1, 1, 3, 3, 4, 3, 2, 1, 2, 2, 1, 3, 1, 2, 0, 4, 3]
pubkeycol1525 = [0, 2, 2, 0, 1, 4, 4, 0, 1, 0, 3, 2, 0, 3, 1, 2, 4, 4, 0, 2, 3, 4, 2, 0, 2, 1, 0, 0, 3, 2, 0, 4, 2, 4, 1, 4, 1, 3, 2, 3, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 1, 3, 4, 0, 1, 3, 4, 1, 3, 3, 4, 2, 2, 4, 2, 1, 2, 4, 0, 0, 3, 3, 0, 0, 0, 3, 2, 3, 4, 1, 1, 1, 4, 2, 1, 4, 2, 1, 1, 4, 0, 4, 1, 0, 0, 2, 0, 2, 4, 3, 3, 3, 2, 3, 2, 0, 4, 4, 3, 4, 0, 0, 1, 3, 3, 4, 0, 2, 1, 2, 0, 0, 2, 1, 0, 3, 1, 0, 0, 4, 1, 1, 1, 0, 4, 0, 2, 1, 2, 0, 0, 4, 3, 0, 3, 4, 1, 2, 0, 4, 2, 3, 3, 0, 4, 4, 3, 4, 4, 1, 2, 0, 2, 0, 2, 4, 4, 4, 3, 0, 0, 2, 2, 1, 1, 2, 1, 4, 1, 2, 0, 3, 1, 0, 4, 0, 0, 3, 2, 2, 4, 1, 2, 3, 0, 2, 4, 3, 3, 1, 3, 3, 3, 2, 4, 2, 1, 2, 2, 1, 4, 0, 3, 3, 1, 0, 0, 2, 2, 1, 4, 1, 3, 4, 0, 1, 1, 2, 3, 2, 2, 1, 1, 3, 4, 1, 1, 3, 0, 0, 3, 1, 0, 1, 1, 3, 2, 0, 3, 2, 1, 3, 2, 1, 4, 3, 1, 4, 2, 1, 0, 2, 3, 3, 0, 0, 1, 1, 2, 4, 3, 3, 4, 1, 1, 4, 1, 3, 3, 0, 3, 0, 4, 4, 0, 2, 0, 2, 4, 1, 2, 4, 0, 3, 0, 0, 2, 2, 3, 0, 4, 4, 3, 0, 1, 3, 2, 3, 3, 4, 3, 3, 4, 3, 1, 0, 1, 4, 1, 3, 4, 0, 0, 3, 4, 4, 0, 1, 1, 4, 2, 2, 0, 0, 0, 1, 3, 3, 1, 4, 2, 3, 1, 0, 1, 2, 4, 0, 0, 1, 0, 4, 2, 0, 1, 4, 2, 2, 1, 2, 2, 4, 4, 1, 4, 0, 3, 4, 4, 1, 4, 4, 2, 4, 3, 1, 1, 0, 0, 1, 0, 1, 2, 0, 3, 2, 3, 4, 1, 0, 2, 3, 2, 0, 1, 3, 0, 0, 1, 0]
pubkeycol1526 = [4, 1, 0, 2, 4, 4, 1, 4, 1, 0, 3, 4, 3, 0, 0, 0, 2, 1, 0, 2, 3, 3, 1, 4, 1, 4, 2, 2, 3, 0, 1, 0, 4, 1, 2, 0, 4, 3, 0, 4, 1, 2, 3, 2, 4, 0, 2, 2, 4, 3, 2, 4, 0, 0, 0, 2, 0, 3, 2, 2, 2, 3, 4, 3, 0, 0, 2, 2, 3, 2, 1, 3, 4, 4, 3, 1, 4, 2, 2, 2, 2, 3, 0, 4, 3, 4, 1, 2, 1, 0, 2, 0, 3, 2, 0, 1, 0, 0, 3, 4, 4, 2, 0, 2, 2, 0, 4, 1, 1, 0, 2, 1, 3, 3, 2, 3, 1, 4, 4, 4, 0, 3, 3, 2, 4, 3, 1, 1, 0, 1, 3, 4, 4, 4, 4, 2, 2, 4, 1, 3, 1, 3, 1, 2, 2, 4, 3, 3, 4, 3, 1, 4, 2, 4, 3, 4, 4, 0, 3, 2, 3, 3, 0, 1, 3, 2, 2, 2, 2, 4, 2, 1, 1, 1, 3, 2, 3, 4, 1, 3, 4, 1, 4, 2, 1, 4, 3, 4, 1, 2, 4, 4, 1, 1, 4, 2, 0, 1, 2, 0, 3, 0, 4, 0, 1, 3, 0, 2, 3, 2, 1, 3, 3, 2, 2, 3, 1, 2, 3, 4, 2, 3, 1, 0, 3, 0, 2, 0, 4, 3, 3, 1, 4, 2, 3, 1, 4, 1, 4, 3, 1, 2, 2, 3, 4, 2, 2, 3, 3, 4, 3, 0, 4, 0, 4, 4, 2, 1, 3, 1, 4, 3, 3, 4, 1, 4, 0, 3, 1, 3, 0, 0, 2, 1, 2, 0, 3, 4, 2, 1, 1, 3, 1, 0, 3, 4, 3, 4, 2, 1, 0, 1, 2, 1, 1, 2, 0, 4, 0, 2, 4, 3, 4, 2, 2, 0, 1, 3, 4, 4, 1, 1, 0, 3, 4, 2, 1, 0, 1, 0, 4, 3, 2, 4, 1, 4, 1, 2, 0, 0, 0, 1, 0, 3, 1, 3, 3, 1, 3, 3, 4, 3, 0, 2, 0, 1, 1, 4, 4, 4, 4, 4, 0, 1, 1, 3, 3, 0, 4, 4, 1, 3, 3, 4, 2, 3, 1, 0, 3, 3, 3, 4, 1, 4, 3, 4, 2, 0, 3, 4, 2, 4, 4, 0, 2, 2, 2, 1, 3, 4, 2, 2, 3, 4, 3, 2, 4, 0, 1, 3]
pubkeycol1527 = [0, 2, 2, 1, 3, 3, 0, 0, 1, 1, 1, 3, 0, 0, 0, 0, 3, 3, 2, 1, 2, 1, 4, 0, 0, 0, 2, 2, 0, 0, 4, 0, 2, 4, 1, 1, 0, 1, 2, 3, 3, 3, 2, 2, 4, 2, 4, 0, 1, 2, 4, 4, 0, 3, 4, 4, 3, 1, 1, 3, 4, 2, 1, 0, 3, 1, 2, 2, 2, 4, 1, 3, 2, 3, 2, 0, 4, 4, 0, 1, 1, 1, 3, 0, 1, 4, 4, 3, 3, 0, 4, 1, 2, 0, 0, 3, 0, 4, 4, 2, 4, 0, 1, 0, 4, 3, 2, 4, 0, 1, 3, 4, 3, 0, 4, 2, 0, 4, 2, 1, 4, 1, 2, 3, 1, 3, 1, 3, 2, 1, 1, 0, 3, 0, 4, 3, 1, 3, 3, 2, 3, 4, 3, 1, 1, 2, 1, 4, 2, 4, 2, 1, 4, 3, 3, 3, 2, 2, 4, 2, 0, 1, 3, 1, 1, 4, 2, 2, 0, 2, 0, 3, 1, 0, 4, 3, 3, 3, 4, 1, 1, 3, 0, 2, 0, 1, 2, 0, 0, 3, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 4, 3, 1, 1, 2, 0, 1, 1, 4, 4, 3, 4, 1, 2, 0, 0, 0, 1, 3, 1, 0, 0, 0, 2, 1, 2, 2, 0, 4, 2, 3, 0, 1, 1, 1, 0, 3, 0, 0, 0, 4, 2, 3, 3, 3, 1, 4, 4, 0, 1, 1, 3, 3, 0, 3, 0, 4, 3, 3, 2, 1, 0, 2, 2, 1, 2, 3, 0, 3, 1, 1, 4, 4, 0, 4, 4, 4, 2, 3, 3, 2, 3, 1, 3, 3, 3, 3, 3, 4, 1, 2, 2, 0, 3, 4, 1, 4, 2, 4, 1, 3, 4, 4, 0, 2, 4, 4, 2, 1, 2, 3, 3, 0, 4, 0, 4, 2, 4, 4, 3, 2, 4, 1, 3, 0, 4, 3, 0, 4, 0, 4, 2, 0, 3, 2, 3, 2, 0, 3, 4, 2, 2, 0, 1, 0, 0, 0, 4, 2, 3, 3, 2, 4, 1, 3, 2, 2, 4, 2, 0, 2, 1, 3, 3, 0, 1, 2, 2, 3, 1, 0, 4, 3, 2, 2, 1, 2, 1, 4, 0, 1, 4, 1, 4, 4, 1, 0, 3, 1, 4, 3, 0, 4, 2, 3, 0]
pubkeycol1528 = [1, 1, 4, 2, 1, 3, 1, 2, 0, 1, 2, 2, 3, 4, 2, 1, 4, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 3, 3, 2, 3, 0, 2, 4, 3, 1, 0, 1, 0, 1, 2, 3, 1, 2, 4, 3, 0, 4, 4, 1, 2, 3, 2, 2, 3, 0, 4, 1, 4, 3, 3, 1, 2, 2, 1, 3, 1, 3, 3, 0, 3, 3, 4, 1, 3, 2, 4, 3, 1, 0, 2, 0, 4, 3, 0, 2, 4, 0, 3, 3, 3, 1, 2, 1, 3, 3, 4, 0, 2, 3, 3, 4, 2, 0, 1, 1, 1, 4, 3, 2, 0, 0, 0, 3, 3, 0, 1, 1, 0, 0, 1, 1, 3, 1, 0, 1, 0, 1, 1, 0, 4, 1, 0, 0, 1, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 0, 1, 1, 0, 3, 2, 4, 3, 3, 0, 1, 0, 1, 1, 0, 0, 4, 0, 1, 0, 4, 3, 4, 3, 2, 0, 3, 4, 4, 4, 3, 2, 0, 3, 0, 4, 0, 1, 1, 1, 3, 0, 2, 2, 3, 3, 4, 4, 1, 1, 0, 3, 4, 3, 4, 4, 3, 1, 4, 2, 0, 2, 1, 2, 3, 2, 3, 0, 3, 2, 2, 4, 3, 4, 4, 1, 2, 0, 2, 1, 3, 3, 4, 0, 1, 4, 0, 3, 1, 4, 0, 0, 4, 1, 1, 1, 2, 2, 4, 4, 1, 1, 1, 4, 4, 3, 1, 1, 3, 3, 4, 0, 4, 0, 3, 1, 0, 0, 2, 1, 2, 4, 2, 1, 3, 0, 3, 0, 0, 4, 3, 1, 0, 3, 4, 0, 4, 2, 2, 1, 1, 0, 3, 2, 4, 4, 0, 3, 4, 3, 4, 1, 4, 2, 4, 1, 0, 3, 1, 0, 2, 0, 4, 1, 1, 2, 3, 1, 0, 0, 2, 4, 0, 2, 2, 2, 4, 0, 4, 0, 2, 0, 0, 2, 3, 3, 2, 4, 2, 1, 3, 3, 0, 1, 3, 0, 1, 3, 4, 0, 2, 1, 0, 2, 0, 3, 3, 3, 0, 3, 3, 2, 3, 0, 4, 3, 4, 0, 1, 2, 2, 0, 4, 4, 3, 1, 0, 1, 1, 3, 4, 2, 4, 0, 3, 2, 1, 0, 4, 1, 3, 0, 4, 3, 1, 4, 2, 3, 3, 3, 0, 0]
pubkeycol1529 = [2, 4, 0, 4, 1, 1, 1, 0, 2, 1, 4, 4, 2, 4, 4, 2, 4, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 4, 4, 2, 0, 1, 1, 2, 2, 3, 1, 1, 4, 1, 1, 0, 2, 3, 3, 1, 2, 2, 3, 0, 3, 1, 4, 4, 2, 1, 0, 1, 2, 1, 0, 1, 1, 4, 2, 0, 3, 3, 4, 3, 4, 2, 4, 0, 3, 3, 4, 0, 2, 3, 2, 1, 4, 4, 1, 3, 2, 2, 4, 0, 2, 4, 4, 2, 3, 2, 0, 4, 0, 3, 3, 0, 3, 3, 2, 1, 1, 4, 4, 3, 1, 0, 4, 4, 3, 2, 3, 2, 4, 2, 3, 3, 3, 1, 4, 0, 1, 1, 2, 4, 1, 4, 4, 3, 3, 2, 3, 4, 3, 0, 4, 1, 0, 1, 0, 4, 1, 2, 1, 3, 4, 0, 3, 2, 0, 0, 2, 4, 2, 1, 3, 2, 1, 4, 2, 1, 0, 1, 1, 1, 1, 0, 3, 1, 0, 4, 2, 1, 1, 4, 3, 0, 2, 3, 1, 0, 0, 4, 3, 4, 1, 4, 3, 0, 1, 0, 3, 4, 2, 4, 0, 3, 4, 4, 1, 4, 3, 3, 1, 0, 0, 0, 0, 1, 2, 2, 0, 3, 3, 4, 2, 4, 2, 0, 1, 4, 1, 1, 1, 1, 1, 1, 2, 4, 4, 0, 3, 2, 1, 3, 1, 2, 3, 3, 1, 1, 2, 0, 4, 4, 2, 3, 4, 0, 3, 4, 3, 1, 3, 4, 0, 2, 3, 0, 4, 1, 4, 2, 3, 2, 0, 4, 4, 2, 4, 1, 0, 3, 0, 1, 2, 4, 0, 3, 2, 0, 4, 2, 1, 4, 0, 3, 4, 4, 4, 1, 1, 1, 0, 4, 3, 0, 3, 2, 4, 1, 2, 4, 3, 3, 4, 4, 2, 4, 1, 0, 3, 4, 2, 2, 4, 1, 2, 1, 4, 2, 1, 4, 3, 3, 3, 2, 3, 3, 0, 0, 3, 1, 0, 2, 0, 0, 4, 3, 2, 1, 0, 2, 4, 0, 2, 1, 4, 3, 1, 0, 1, 1, 1, 4, 4, 3, 1, 1, 3, 2, 4, 1, 0, 2, 1, 4, 3, 3, 2, 4, 2, 2, 1, 4, 2, 0, 1, 2, 1, 0, 0, 0, 3, 4, 2, 0, 3, 0, 1, 3, 0, 0, 3]
pubkeycol1530 = [4, 3, 3, 0, 0, 1, 4, 0, 4, 4, 0, 2, 0, 1, 3, 1, 0, 0, 1, 0, 1, 4, 4, 1, 4, 3, 4, 0, 3, 1, 2, 0, 2, 2, 2, 4, 3, 3, 3, 3, 2, 1, 2, 1, 3, 2, 0, 4, 0, 0, 0, 4, 1, 3, 3, 4, 3, 0, 3, 0, 0, 2, 0, 1, 1, 4, 4, 4, 0, 3, 2, 2, 1, 0, 2, 0, 4, 1, 0, 2, 2, 1, 3, 3, 2, 1, 2, 2, 2, 4, 0, 2, 3, 3, 4, 4, 2, 4, 1, 3, 1, 3, 2, 4, 4, 1, 2, 2, 1, 2, 0, 3, 4, 3, 2, 4, 3, 0, 1, 3, 0, 2, 1, 1, 2, 1, 3, 2, 3, 2, 1, 0, 3, 0, 1, 2, 1, 0, 4, 3, 1, 3, 2, 3, 2, 0, 1, 2, 1, 1, 1, 1, 3, 0, 3, 4, 4, 4, 3, 1, 3, 0, 3, 3, 1, 3, 3, 2, 4, 4, 4, 2, 0, 0, 3, 3, 4, 3, 4, 4, 0, 1, 3, 4, 0, 3, 4, 4, 1, 4, 3, 4, 4, 2, 2, 3, 4, 0, 3, 3, 0, 1, 0, 3, 0, 3, 3, 1, 2, 3, 1, 3, 3, 4, 0, 1, 4, 3, 1, 1, 3, 2, 0, 2, 3, 1, 2, 0, 4, 3, 1, 4, 1, 0, 4, 2, 2, 1, 4, 4, 4, 4, 2, 4, 3, 1, 2, 1, 2, 4, 2, 0, 0, 3, 3, 2, 1, 2, 0, 3, 0, 4, 4, 3, 0, 0, 4, 0, 2, 3, 2, 3, 0, 0, 1, 4, 3, 0, 2, 4, 1, 1, 0, 1, 3, 0, 0, 0, 3, 2, 3, 2, 0, 0, 3, 3, 0, 2, 3, 3, 0, 1, 4, 3, 3, 0, 0, 3, 1, 4, 2, 1, 0, 3, 2, 4, 1, 3, 2, 1, 0, 4, 4, 1, 0, 1, 3, 1, 2, 1, 2, 2, 3, 4, 1, 0, 2, 0, 2, 0, 0, 4, 2, 1, 0, 2, 1, 1, 4, 0, 4, 4, 0, 1, 1, 0, 3, 4, 2, 0, 0, 2, 4, 1, 0, 1, 4, 3, 2, 4, 2, 0, 2, 2, 0, 3, 1, 4, 2, 2, 3, 4, 1, 4, 3, 0, 1, 1, 1, 3, 3, 0, 0, 4, 1, 1, 0, 3, 3, 3]
pubkeycol1531 = [2, 0, 0, 1, 0, 4, 0, 0, 0, 3, 2, 3, 1, 2, 0, 0, 0, 1, 1, 4, 1, 2, 2, 2, 4, 0, 3, 2, 4, 3, 2, 4, 4, 4, 1, 1, 0, 2, 0, 4, 3, 4, 4, 2, 3, 3, 1, 0, 0, 1, 0, 1, 3, 2, 4, 1, 2, 3, 0, 0, 2, 2, 2, 3, 2, 0, 2, 2, 0, 3, 3, 1, 0, 0, 4, 2, 3, 2, 0, 2, 0, 0, 3, 1, 1, 2, 2, 3, 4, 0, 1, 0, 0, 3, 3, 4, 2, 1, 2, 3, 1, 1, 3, 4, 2, 0, 1, 1, 3, 4, 3, 1, 1, 2, 0, 1, 3, 2, 0, 2, 1, 0, 3, 2, 2, 0, 3, 4, 0, 0, 1, 4, 0, 4, 1, 4, 3, 3, 2, 0, 0, 0, 1, 0, 2, 4, 1, 2, 1, 0, 1, 4, 0, 1, 2, 2, 3, 2, 2, 4, 0, 3, 0, 3, 1, 4, 4, 1, 1, 2, 3, 1, 2, 0, 1, 1, 1, 2, 1, 4, 0, 4, 1, 2, 2, 0, 1, 0, 1, 4, 2, 0, 3, 3, 3, 0, 4, 0, 1, 4, 4, 2, 4, 1, 4, 1, 3, 0, 1, 2, 2, 4, 1, 2, 1, 3, 3, 4, 2, 1, 3, 2, 3, 1, 4, 1, 0, 4, 4, 3, 0, 1, 1, 0, 1, 2, 1, 4, 4, 2, 1, 0, 2, 3, 3, 1, 1, 2, 3, 1, 1, 3, 3, 3, 4, 1, 2, 0, 1, 4, 0, 4, 2, 0, 1, 3, 1, 1, 1, 1, 1, 4, 1, 1, 4, 1, 3, 4, 0, 3, 3, 4, 2, 4, 0, 4, 3, 0, 2, 2, 3, 1, 3, 2, 3, 1, 2, 0, 3, 1, 2, 3, 2, 4, 0, 0, 3, 4, 0, 1, 3, 4, 3, 3, 1, 2, 0, 1, 2, 3, 2, 4, 3, 3, 4, 0, 4, 4, 4, 2, 2, 3, 1, 4, 3, 3, 3, 1, 1, 4, 4, 4, 3, 0, 2, 1, 3, 3, 2, 2, 3, 1, 2, 0, 2, 0, 4, 4, 2, 3, 3, 4, 3, 3, 0, 2, 2, 4, 4, 0, 2, 4, 2, 2, 0, 4, 4, 1, 0, 3, 4, 0, 2, 2, 4, 4, 0, 2, 0, 1, 3, 3, 4, 0, 3, 4, 0, 4, 3, 2]
pubkeycol1532 = [1, 0, 2, 3, 4, 0, 0, 2, 4, 2, 3, 0, 2, 4, 2, 1, 2, 2, 3, 1, 4, 1, 2, 2, 4, 0, 3, 1, 1, 4, 3, 0, 0, 2, 1, 0, 2, 1, 2, 3, 1, 0, 2, 1, 1, 4, 0, 3, 1, 2, 3, 0, 1, 4, 0, 2, 4, 1, 1, 3, 1, 3, 0, 2, 0, 3, 0, 0, 3, 3, 2, 0, 0, 0, 4, 3, 2, 3, 0, 3, 4, 0, 2, 0, 4, 3, 4, 2, 2, 0, 0, 4, 3, 0, 2, 1, 1, 4, 3, 3, 4, 4, 2, 4, 1, 1, 2, 0, 4, 2, 4, 0, 1, 4, 3, 4, 4, 3, 4, 2, 0, 2, 0, 1, 4, 3, 2, 1, 4, 2, 0, 1, 3, 4, 2, 3, 4, 0, 3, 0, 3, 0, 3, 0, 2, 4, 0, 3, 1, 2, 1, 0, 3, 3, 3, 1, 4, 3, 2, 1, 4, 3, 0, 0, 0, 2, 1, 3, 4, 3, 0, 3, 1, 1, 2, 4, 3, 2, 2, 0, 1, 4, 4, 3, 1, 2, 1, 3, 1, 0, 3, 2, 3, 3, 1, 4, 3, 2, 0, 4, 4, 0, 0, 4, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 3, 4, 2, 3, 3, 4, 2, 3, 3, 4, 1, 0, 1, 3, 0, 2, 3, 1, 3, 1, 4, 2, 3, 2, 2, 3, 1, 2, 2, 0, 4, 1, 4, 3, 2, 2, 1, 1, 4, 3, 4, 4, 2, 0, 1, 2, 1, 2, 4, 1, 1, 4, 1, 1, 1, 0, 4, 2, 4, 0, 1, 3, 0, 1, 2, 4, 1, 2, 1, 0, 3, 1, 2, 1, 2, 0, 2, 2, 0, 3, 3, 2, 0, 0, 4, 2, 4, 0, 3, 4, 3, 1, 1, 4, 0, 3, 2, 0, 3, 0, 3, 0, 4, 3, 1, 4, 4, 1, 3, 4, 2, 1, 2, 3, 4, 4, 4, 4, 0, 2, 1, 3, 1, 3, 4, 3, 2, 4, 4, 4, 3, 1, 0, 4, 3, 3, 1, 4, 2, 4, 4, 4, 4, 4, 0, 3, 2, 2, 3, 0, 4, 2, 0, 1, 4, 2, 1, 3, 0, 2, 2, 2, 4, 0, 2, 3, 2, 4, 4, 4, 4, 2, 4, 1, 4, 4, 4, 3, 3, 4, 1, 2, 2, 4, 1]
pubkeycol1533 = [3, 3, 3, 2, 1, 4, 1, 0, 3, 4, 1, 3, 3, 0, 4, 3, 3, 2, 0, 2, 2, 4, 3, 4, 4, 4, 1, 2, 3, 4, 1, 4, 4, 4, 3, 4, 0, 4, 1, 0, 0, 1, 3, 0, 0, 4, 3, 3, 2, 0, 1, 2, 4, 0, 0, 1, 3, 0, 4, 3, 0, 1, 0, 1, 4, 4, 4, 2, 4, 3, 4, 2, 1, 1, 2, 4, 1, 4, 1, 0, 3, 0, 1, 4, 3, 4, 1, 2, 4, 2, 3, 0, 4, 4, 4, 1, 4, 1, 2, 0, 2, 4, 4, 4, 4, 2, 3, 2, 0, 0, 2, 2, 2, 3, 4, 4, 0, 3, 4, 2, 4, 3, 3, 0, 2, 4, 0, 0, 3, 0, 0, 4, 0, 0, 2, 2, 3, 2, 0, 0, 3, 3, 1, 3, 1, 2, 0, 1, 4, 4, 3, 2, 0, 0, 2, 2, 1, 3, 2, 1, 3, 3, 4, 2, 3, 1, 2, 4, 3, 2, 3, 1, 0, 2, 3, 3, 4, 0, 3, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 4, 1, 0, 1, 3, 0, 1, 3, 0, 4, 0, 3, 0, 0, 4, 4, 2, 4, 1, 4, 2, 4, 4, 1, 4, 4, 1, 4, 1, 4, 2, 2, 1, 1, 4, 0, 2, 0, 1, 3, 2, 3, 3, 2, 2, 4, 1, 4, 2, 3, 1, 3, 3, 2, 3, 2, 2, 0, 0, 0, 1, 2, 4, 1, 3, 1, 2, 2, 1, 0, 2, 3, 2, 2, 4, 4, 3, 2, 2, 2, 2, 1, 1, 0, 1, 4, 0, 2, 0, 1, 0, 2, 0, 4, 0, 2, 0, 4, 3, 0, 3, 0, 4, 3, 4, 2, 1, 3, 1, 4, 3, 2, 1, 3, 1, 4, 1, 2, 3, 2, 0, 0, 2, 1, 1, 4, 2, 3, 0, 4, 3, 0, 0, 3, 0, 0, 4, 1, 2, 3, 3, 4, 0, 4, 0, 0, 3, 4, 1, 0, 3, 2, 2, 3, 1, 3, 4, 4, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 3, 1, 3, 4, 2, 3, 4, 0, 1, 0, 2, 0, 2, 0, 4, 4, 1, 2, 1, 4, 3, 2, 4, 4, 2, 2, 2, 0, 4, 3, 2, 4, 1, 3, 4, 2, 1, 4, 0]
pubkeycol1534 = [3, 0, 0, 0, 4, 2, 0, 4, 1, 4, 2, 0, 4, 2, 3, 4, 1, 4, 4, 3, 0, 2, 4, 4, 3, 0, 3, 4, 4, 1, 3, 4, 1, 1, 3, 1, 0, 1, 4, 3, 2, 3, 4, 1, 4, 1, 2, 4, 4, 0, 1, 3, 3, 0, 4, 1, 2, 2, 4, 4, 1, 1, 4, 1, 0, 0, 1, 1, 4, 1, 3, 1, 4, 1, 1, 0, 2, 3, 2, 2, 4, 3, 3, 1, 4, 0, 4, 0, 0, 0, 4, 0, 3, 1, 4, 4, 0, 3, 3, 0, 3, 2, 3, 2, 3, 4, 0, 2, 4, 3, 1, 1, 1, 0, 4, 3, 3, 4, 2, 4, 0, 4, 2, 4, 4, 4, 0, 2, 4, 3, 4, 0, 1, 1, 0, 1, 1, 0, 4, 0, 2, 4, 1, 4, 2, 1, 1, 4, 4, 1, 1, 1, 4, 0, 1, 3, 0, 1, 3, 3, 2, 2, 1, 3, 2, 3, 3, 0, 2, 1, 2, 2, 3, 0, 2, 2, 3, 0, 4, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 4, 1, 0, 1, 1, 4, 0, 0, 0, 0, 0, 4, 1, 3, 3, 0, 0, 4, 2, 2, 0, 2, 4, 0, 1, 4, 3, 2, 2, 4, 3, 0, 3, 0, 2, 2, 0, 3, 4, 1, 3, 2, 4, 1, 4, 2, 0, 4, 0, 1, 4, 0, 1, 2, 2, 1, 3, 1, 2, 4, 0, 4, 0, 1, 1, 1, 2, 4, 4, 3, 3, 2, 3, 1, 1, 0, 1, 2, 2, 1, 4, 4, 4, 3, 2, 2, 2, 0, 2, 0, 3, 4, 2, 3, 1, 0, 4, 0, 4, 4, 4, 2, 2, 2, 3, 4, 2, 1, 4, 0, 2, 0, 0, 4, 1, 2, 1, 0, 1, 2, 2, 2, 4, 3, 1, 0, 3, 1, 2, 3, 1, 2, 2, 4, 1, 0, 1, 1, 3, 4, 3, 1, 2, 1, 2, 1, 0, 0, 3, 0, 3, 1, 4, 1, 1, 4, 3, 2, 4, 4, 1, 3, 1, 3, 2, 1, 3, 3, 0, 2, 4, 4, 0, 4, 3, 4, 2, 4, 0, 2, 1, 2, 0, 4, 4, 4, 0, 3, 1, 1, 2, 3, 3, 3, 2, 0, 1, 2, 4, 4, 0, 3, 2, 2, 4, 4, 1, 4, 2, 3, 3]
pubkeycol1535 = [3, 3, 1, 1, 4, 2, 0, 0, 0, 3, 3, 0, 2, 2, 1, 0, 4, 2, 0, 4, 2, 3, 1, 1, 3, 3, 3, 0, 3, 2, 1, 0, 0, 1, 2, 2, 4, 0, 0, 1, 4, 1, 0, 4, 3, 3, 4, 4, 4, 1, 4, 1, 0, 0, 0, 4, 4, 4, 3, 2, 4, 4, 2, 3, 1, 3, 3, 2, 0, 4, 1, 1, 4, 4, 3, 3, 0, 3, 0, 4, 2, 2, 4, 4, 4, 3, 0, 1, 4, 4, 0, 4, 3, 3, 4, 1, 3, 3, 1, 4, 4, 3, 1, 2, 1, 1, 0, 4, 1, 2, 0, 2, 3, 1, 3, 4, 3, 0, 2, 2, 2, 3, 4, 0, 0, 4, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 4, 1, 4, 0, 3, 4, 2, 3, 1, 4, 2, 3, 2, 4, 4, 2, 2, 3, 0, 4, 1, 4, 4, 3, 3, 3, 0, 0, 1, 3, 4, 3, 2, 1, 3, 2, 2, 3, 1, 0, 4, 1, 0, 4, 4, 4, 0, 1, 4, 3, 4, 4, 0, 2, 2, 0, 4, 2, 3, 0, 4, 4, 3, 2, 4, 1, 0, 4, 1, 4, 3, 2, 3, 1, 4, 4, 2, 0, 3, 2, 1, 4, 4, 1, 1, 1, 4, 3, 1, 1, 0, 1, 3, 0, 0, 4, 1, 4, 2, 1, 4, 0, 4, 2, 1, 0, 2, 3, 2, 1, 4, 4, 4, 4, 1, 4, 2, 4, 0, 0, 1, 0, 1, 1, 3, 1, 0, 0, 3, 0, 0, 3, 1, 2, 0, 3, 2, 0, 3, 0, 4, 4, 1, 1, 3, 4, 4, 3, 0, 2, 3, 1, 0, 4, 4, 3, 2, 1, 1, 3, 3, 2, 2, 2, 1, 1, 3, 2, 0, 3, 3, 0, 2, 1, 1, 2, 3, 4, 3, 0, 0, 1, 2, 3, 0, 0, 1, 3, 4, 1, 2, 3, 4, 3, 0, 2, 1, 3, 0, 2, 4, 0, 2, 0, 0, 0, 4, 4, 3, 2, 3, 2, 0, 1, 3, 3, 0, 1, 0, 4, 2, 3, 3, 4, 4, 3, 2, 3, 0, 2, 1, 0, 0, 0, 1, 3, 0, 2, 0, 1, 0, 2, 3, 1, 2, 4, 2, 4, 2, 4, 1, 4, 2, 4, 0, 2, 2, 3, 1, 3, 2, 2, 1, 1]
pubkeycol1536 = [0, 0, 2, 3, 0, 0, 3, 2, 0, 3, 4, 2, 4, 3, 4, 0, 4, 2, 4, 2, 3, 4, 4, 3, 3, 4, 2, 0, 0, 2, 0, 4, 2, 4, 3, 4, 3, 0, 4, 4, 4, 3, 3, 2, 2, 0, 0, 2, 3, 0, 3, 1, 3, 3, 4, 4, 1, 1, 0, 1, 3, 3, 2, 0, 3, 1, 4, 4, 2, 4, 1, 4, 2, 3, 2, 0, 2, 0, 2, 4, 3, 1, 1, 1, 0, 2, 4, 4, 4, 2, 3, 4, 1, 1, 0, 1, 2, 4, 4, 2, 3, 4, 1, 2, 2, 4, 4, 3, 2, 0, 3, 1, 2, 4, 4, 3, 4, 1, 3, 4, 1, 2, 4, 2, 2, 2, 4, 2, 3, 2, 2, 2, 3, 4, 0, 2, 4, 4, 2, 3, 0, 0, 1, 3, 0, 3, 4, 3, 1, 3, 1, 4, 4, 2, 4, 2, 1, 0, 1, 3, 1, 1, 3, 3, 1, 3, 0, 2, 0, 3, 2, 2, 2, 2, 3, 4, 3, 3, 1, 2, 3, 4, 0, 2, 1, 3, 2, 0, 3, 4, 3, 4, 0, 4, 0, 0, 3, 1, 1, 0, 4, 1, 0, 2, 4, 1, 2, 2, 3, 4, 1, 3, 0, 0, 4, 3, 0, 3, 3, 0, 4, 0, 3, 1, 0, 3, 3, 4, 1, 3, 1, 1, 0, 3, 4, 1, 0, 2, 4, 3, 3, 0, 1, 1, 4, 1, 3, 3, 1, 1, 1, 2, 1, 0, 0, 3, 1, 3, 1, 2, 1, 3, 1, 3, 2, 4, 1, 3, 4, 3, 1, 0, 2, 3, 3, 1, 1, 3, 3, 2, 3, 4, 4, 0, 3, 2, 0, 0, 0, 2, 2, 1, 3, 1, 3, 0, 4, 1, 2, 0, 1, 2, 0, 1, 2, 3, 4, 4, 1, 2, 2, 1, 0, 2, 1, 3, 2, 2, 4, 1, 2, 2, 2, 1, 3, 3, 3, 0, 3, 0, 3, 3, 4, 4, 2, 2, 4, 3, 2, 1, 2, 2, 4, 4, 3, 1, 4, 1, 2, 4, 3, 4, 3, 2, 0, 4, 4, 4, 4, 2, 3, 4, 3, 2, 3, 1, 4, 2, 0, 3, 3, 3, 1, 1, 1, 0, 4, 1, 1, 2, 3, 0, 0, 2, 0, 4, 3, 2, 0, 3, 2, 1, 2, 1, 1, 2, 0, 1, 3, 0]
pubkeycol1537 = [2, 1, 3, 1, 3, 3, 0, 0, 2, 1, 1, 3, 3, 4, 3, 4, 0, 2, 2, 2, 3, 1, 4, 1, 1, 1, 2, 3, 3, 4, 1, 3, 4, 4, 3, 1, 1, 2, 0, 4, 3, 4, 4, 0, 0, 2, 2, 0, 3, 4, 4, 3, 3, 1, 2, 1, 0, 0, 3, 2, 2, 3, 1, 1, 4, 4, 0, 0, 0, 1, 2, 3, 3, 2, 3, 1, 2, 3, 1, 3, 2, 0, 2, 4, 2, 3, 2, 0, 4, 1, 0, 2, 2, 4, 1, 1, 1, 3, 2, 4, 1, 3, 2, 3, 1, 4, 0, 0, 2, 0, 4, 3, 1, 4, 1, 0, 1, 4, 2, 0, 0, 4, 4, 2, 3, 3, 2, 0, 0, 4, 0, 4, 1, 4, 3, 0, 4, 1, 3, 2, 0, 4, 2, 0, 2, 0, 2, 3, 1, 2, 0, 2, 1, 4, 3, 0, 4, 1, 4, 0, 3, 2, 3, 1, 1, 0, 0, 4, 1, 2, 3, 0, 4, 2, 0, 0, 1, 2, 1, 3, 1, 0, 3, 0, 4, 2, 3, 2, 2, 1, 3, 0, 2, 3, 4, 4, 1, 4, 0, 1, 3, 3, 0, 1, 2, 0, 1, 2, 1, 4, 1, 4, 2, 0, 2, 2, 0, 2, 3, 0, 0, 1, 3, 1, 2, 4, 4, 1, 2, 4, 1, 1, 2, 1, 2, 1, 2, 2, 2, 3, 1, 0, 3, 3, 0, 1, 4, 2, 0, 3, 1, 4, 3, 4, 1, 3, 3, 3, 3, 4, 2, 4, 4, 3, 0, 0, 0, 3, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 4, 2, 3, 4, 1, 1, 1, 1, 4, 2, 3, 0, 4, 1, 1, 3, 1, 1, 1, 4, 0, 3, 0, 0, 3, 1, 2, 3, 0, 3, 0, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 2, 2, 4, 1, 1, 3, 3, 3, 0, 0, 2, 2, 2, 3, 4, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 0, 4, 3, 1, 2, 0, 4, 4, 2, 4, 1, 1, 3, 1, 4, 4, 1, 3, 2, 1, 3, 1, 1, 0, 4, 3, 0, 1, 4, 1, 0, 2, 0, 4, 4, 3, 0, 3, 3, 4, 3, 3, 0, 2, 3, 3, 3, 2, 2, 2, 1, 4, 3, 0, 2, 3]
pubkeycol1538 = [3, 0, 4, 2, 0, 2, 2, 3, 1, 1, 4, 3, 1, 3, 1, 2, 4, 0, 2, 3, 2, 0, 0, 4, 3, 3, 3, 2, 3, 3, 1, 1, 3, 3, 2, 2, 2, 0, 2, 2, 3, 0, 4, 2, 0, 1, 3, 2, 0, 4, 0, 0, 0, 4, 2, 2, 2, 2, 4, 3, 2, 1, 4, 4, 0, 3, 4, 1, 4, 2, 3, 1, 3, 0, 1, 4, 1, 0, 3, 3, 1, 0, 2, 2, 3, 0, 2, 3, 1, 0, 1, 3, 1, 1, 1, 3, 4, 3, 1, 1, 4, 3, 2, 4, 0, 2, 0, 4, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 4, 3, 0, 0, 2, 2, 4, 3, 2, 2, 2, 4, 1, 3, 1, 0, 2, 1, 0, 3, 2, 4, 1, 3, 2, 2, 3, 1, 3, 4, 4, 1, 1, 0, 1, 1, 4, 3, 1, 4, 4, 1, 0, 0, 3, 3, 4, 1, 0, 0, 2, 1, 2, 3, 1, 4, 3, 1, 0, 3, 2, 3, 1, 1, 3, 0, 2, 3, 3, 1, 4, 4, 1, 4, 2, 4, 0, 1, 1, 0, 2, 4, 2, 3, 2, 2, 3, 1, 4, 2, 1, 4, 4, 3, 0, 0, 1, 4, 2, 4, 4, 4, 1, 4, 1, 4, 2, 2, 3, 1, 4, 0, 0, 2, 4, 0, 3, 4, 0, 0, 3, 1, 3, 2, 4, 2, 3, 1, 0, 4, 4, 3, 1, 0, 3, 4, 2, 0, 2, 3, 3, 1, 0, 2, 1, 1, 3, 0, 3, 4, 0, 1, 3, 1, 1, 3, 3, 1, 2, 3, 4, 2, 1, 0, 2, 3, 0, 1, 0, 0, 4, 2, 4, 3, 3, 4, 1, 4, 2, 0, 4, 3, 0, 0, 3, 4, 3, 1, 3, 3, 1, 0, 4, 4, 1, 2, 0, 0, 0, 1, 3, 3, 0, 4, 2, 3, 3, 3, 2, 0, 2, 4, 4, 0, 4, 2, 1, 4, 3, 1, 4, 4, 3, 4, 1, 0, 2, 4, 3, 1, 0, 2, 0, 3, 1, 2, 3, 2, 0, 2, 2, 3, 2, 4, 1, 1, 1, 0, 3, 3, 4, 3, 0, 3, 0, 3, 1, 3, 4, 2, 0, 4, 3, 4, 1, 2, 1, 1, 1, 4, 1, 3, 4, 0, 1, 3, 4, 2, 1, 0, 0, 2]
pubkeycol1539 = [1, 2, 3, 1, 4, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 1, 3, 3, 1, 0, 0, 3, 4, 0, 3, 0, 4, 1, 1, 2, 1, 4, 0, 3, 1, 1, 1, 1, 1, 0, 3, 2, 2, 1, 2, 2, 1, 3, 2, 2, 1, 0, 3, 2, 3, 1, 1, 0, 2, 0, 3, 0, 1, 2, 1, 2, 2, 0, 0, 0, 3, 4, 2, 2, 4, 2, 3, 4, 1, 1, 1, 3, 3, 3, 3, 4, 3, 3, 3, 0, 3, 2, 2, 2, 3, 1, 0, 2, 4, 3, 3, 1, 0, 3, 3, 0, 0, 1, 2, 1, 4, 0, 0, 2, 0, 2, 3, 3, 3, 4, 4, 3, 3, 2, 0, 4, 2, 2, 1, 0, 2, 3, 1, 2, 2, 3, 0, 0, 1, 1, 4, 3, 2, 1, 3, 4, 0, 2, 1, 3, 0, 4, 3, 2, 4, 4, 2, 4, 3, 2, 1, 0, 1, 0, 1, 1, 0, 0, 3, 2, 3, 4, 2, 4, 4, 1, 3, 1, 2, 3, 2, 4, 1, 4, 1, 3, 3, 4, 4, 1, 1, 1, 2, 2, 4, 0, 2, 4, 1, 0, 2, 4, 2, 4, 1, 2, 4, 1, 4, 1, 4, 2, 0, 1, 3, 4, 0, 0, 3, 2, 2, 1, 2, 2, 2, 3, 2, 2, 4, 0, 4, 4, 1, 4, 4, 4, 0, 0, 2, 2, 1, 4, 4, 4, 3, 4, 1, 4, 1, 0, 0, 0, 3, 0, 3, 3, 2, 0, 2, 4, 4, 4, 3, 2, 4, 2, 0, 1, 4, 0, 4, 1, 0, 0, 4, 3, 1, 1, 0, 0, 1, 0, 3, 3, 4, 3, 3, 4, 0, 2, 0, 0, 2, 3, 0, 4, 4, 3, 2, 2, 0, 0, 2, 4, 2, 2, 3, 1, 0, 0, 3, 1, 4, 0, 4, 2, 2, 3, 0, 3, 2, 1, 4, 3, 2, 3, 1, 1, 3, 4, 2, 2, 2, 3, 0, 3, 3, 0, 4, 1, 1, 0, 0, 3, 4, 0, 4, 1, 3, 4, 2, 4, 3, 4, 4, 4, 3, 2, 1, 2, 0, 2, 1, 3, 2, 2, 1, 1, 0, 2, 2, 4, 2, 3, 0, 1, 0, 2, 2, 0, 1, 4, 4, 1, 1, 3, 3, 3, 3, 3, 3, 0, 0, 3, 2, 1, 0, 2, 3, 1]
pubkeycol1540 = [0, 0, 0, 2, 0, 3, 0, 3, 3, 2, 1, 1, 4, 2, 4, 1, 0, 4, 2, 4, 0, 3, 4, 3, 0, 3, 0, 3, 4, 1, 1, 4, 4, 4, 1, 4, 2, 1, 0, 3, 1, 4, 1, 2, 0, 3, 3, 0, 1, 3, 4, 1, 1, 1, 4, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 3, 1, 2, 4, 3, 2, 2, 4, 0, 1, 4, 0, 4, 0, 4, 2, 0, 1, 0, 3, 2, 2, 1, 1, 4, 3, 1, 2, 0, 2, 0, 3, 0, 1, 1, 3, 4, 3, 0, 4, 2, 1, 1, 2, 0, 0, 0, 0, 3, 1, 0, 3, 0, 1, 2, 2, 1, 2, 4, 2, 1, 0, 1, 1, 3, 1, 0, 1, 2, 1, 2, 0, 4, 3, 1, 0, 0, 3, 4, 2, 0, 4, 1, 2, 3, 0, 2, 0, 0, 2, 0, 0, 4, 3, 4, 2, 1, 0, 3, 4, 0, 1, 1, 3, 1, 3, 4, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 4, 4, 0, 4, 1, 2, 4, 3, 4, 1, 2, 4, 1, 0, 2, 0, 1, 1, 4, 4, 0, 3, 0, 0, 4, 4, 0, 0, 4, 1, 1, 0, 2, 3, 1, 0, 3, 2, 0, 0, 0, 4, 1, 2, 1, 0, 1, 2, 4, 3, 1, 1, 3, 2, 3, 1, 1, 3, 2, 1, 4, 0, 3, 2, 2, 2, 0, 4, 1, 3, 4, 0, 4, 0, 0, 2, 4, 0, 4, 4, 4, 4, 2, 0, 1, 0, 3, 2, 0, 0, 4, 2, 4, 1, 2, 3, 0, 0, 3, 1, 0, 0, 1, 1, 4, 2, 1, 0, 3, 1, 3, 1, 4, 1, 1, 4, 4, 0, 3, 0, 0, 1, 1, 0, 3, 1, 1, 3, 0, 1, 0, 0, 4, 3, 1, 3, 2, 3, 2, 4, 0, 2, 1, 3, 0, 2, 2, 3, 4, 0, 2, 0, 3, 4, 0, 3, 1, 1, 1, 2, 0, 3, 4, 0, 1, 3, 4, 1, 3, 3, 1, 2, 4, 2, 4, 2, 1, 4, 3, 3, 4, 0, 0, 4, 1, 3, 1, 0, 4, 2, 0, 3, 3, 3, 2, 3, 3, 1, 2, 1, 3, 3, 3, 0, 2, 2, 3, 1, 2, 0, 2, 0, 0, 2, 3]
pubkeycol1541 = [2, 4, 1, 1, 0, 0, 2, 0, 0, 2, 2, 4, 0, 3, 3, 4, 0, 0, 1, 1, 1, 0, 2, 4, 0, 1, 1, 3, 0, 0, 1, 1, 2, 4, 1, 1, 3, 3, 1, 1, 1, 1, 3, 3, 3, 4, 4, 3, 2, 3, 4, 2, 3, 0, 2, 1, 1, 4, 0, 2, 3, 0, 1, 2, 2, 0, 0, 2, 4, 1, 2, 0, 4, 2, 0, 2, 0, 1, 0, 0, 4, 1, 3, 0, 0, 3, 2, 3, 4, 1, 0, 1, 3, 1, 1, 0, 3, 1, 4, 1, 4, 4, 2, 2, 0, 4, 0, 2, 3, 4, 1, 1, 3, 2, 1, 0, 2, 3, 4, 2, 1, 4, 3, 4, 3, 0, 2, 1, 3, 3, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 4, 3, 1, 4, 3, 0, 2, 2, 3, 2, 3, 2, 0, 4, 3, 4, 3, 4, 1, 3, 1, 2, 0, 2, 3, 4, 2, 0, 1, 1, 0, 3, 1, 1, 4, 2, 4, 2, 2, 3, 4, 3, 1, 1, 3, 0, 2, 0, 0, 1, 0, 0, 4, 4, 2, 2, 1, 2, 3, 0, 0, 1, 4, 4, 2, 2, 0, 2, 4, 4, 2, 4, 1, 4, 2, 0, 4, 1, 4, 0, 2, 2, 3, 2, 4, 2, 3, 3, 0, 4, 0, 0, 1, 0, 4, 2, 1, 0, 3, 1, 0, 1, 0, 1, 1, 1, 3, 4, 1, 3, 0, 1, 3, 3, 3, 2, 1, 4, 3, 1, 0, 4, 3, 0, 0, 4, 1, 3, 0, 3, 1, 0, 1, 4, 0, 1, 2, 3, 3, 2, 0, 3, 0, 1, 3, 3, 2, 4, 1, 0, 1, 4, 4, 1, 2, 4, 4, 4, 4, 2, 3, 0, 0, 0, 2, 3, 2, 2, 3, 3, 4, 2, 3, 1, 4, 0, 2, 4, 1, 0, 4, 1, 2, 4, 2, 3, 2, 0, 0, 3, 1, 4, 2, 3, 1, 1, 3, 0, 0, 4, 2, 2, 2, 4, 0, 2, 3, 1, 0, 3, 4, 1, 0, 3, 0, 0, 3, 1, 0, 3, 4, 4, 1, 4, 0, 3, 2, 4, 0, 3, 1, 0, 3, 4, 3, 3, 0, 4, 3, 3, 1, 4, 2, 3, 4, 2, 3, 0, 4, 1, 4, 2, 3, 0, 4, 3, 0, 0, 4, 4]
pubkeycol1542 = [4, 2, 3, 0, 2, 3, 0, 0, 3, 0, 2, 4, 0, 0, 0, 2, 2, 3, 3, 0, 1, 3, 0, 0, 2, 3, 0, 2, 0, 4, 3, 1, 3, 0, 4, 3, 0, 3, 0, 2, 0, 1, 3, 0, 3, 4, 4, 4, 4, 4, 1, 1, 1, 4, 2, 1, 4, 1, 2, 1, 4, 1, 0, 4, 4, 1, 0, 1, 3, 1, 0, 1, 0, 2, 2, 2, 0, 2, 3, 1, 0, 0, 2, 0, 3, 0, 4, 0, 1, 4, 3, 3, 4, 3, 4, 4, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 4, 4, 4, 1, 4, 2, 2, 1, 1, 0, 4, 0, 1, 4, 3, 3, 1, 1, 3, 1, 4, 3, 4, 4, 3, 1, 1, 3, 3, 3, 3, 1, 0, 4, 0, 4, 2, 1, 4, 3, 1, 3, 0, 3, 3, 3, 1, 1, 0, 3, 2, 1, 3, 1, 3, 1, 3, 4, 0, 0, 2, 0, 0, 1, 1, 3, 4, 4, 3, 4, 0, 0, 0, 3, 2, 1, 1, 3, 0, 4, 2, 4, 0, 4, 2, 0, 1, 3, 4, 4, 4, 1, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 0, 2, 0, 2, 1, 3, 3, 3, 2, 0, 3, 0, 3, 3, 3, 0, 4, 0, 4, 0, 0, 3, 3, 1, 3, 3, 3, 0, 1, 2, 1, 0, 1, 0, 2, 3, 0, 0, 1, 1, 1, 4, 0, 4, 2, 1, 0, 3, 0, 0, 3, 0, 2, 4, 0, 3, 1, 3, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 4, 4, 0, 4, 4, 3, 1, 0, 3, 3, 2, 1, 0, 3, 3, 0, 3, 0, 4, 2, 4, 4, 0, 3, 4, 0, 1, 1, 3, 0, 0, 0, 4, 1, 0, 0, 2, 4, 3, 2, 4, 3, 1, 1, 4, 2, 1, 0, 1, 2, 0, 0, 4, 3, 4, 3, 0, 1, 3, 1, 4, 2, 1, 4, 3, 1, 1, 2, 2, 4, 0, 4, 3, 0, 4, 1, 3, 3, 4, 4, 1, 0, 3, 3, 1, 1, 2, 2, 0, 1, 2, 1, 4, 2, 0, 2, 1, 4, 1, 0, 4, 4, 2, 2, 2, 1, 0, 0, 1, 3, 3, 3, 4, 0, 0, 4, 0]
pubkeycol1543 = [4, 2, 0, 4, 4, 4, 4, 1, 0, 1, 0, 3, 4, 2, 2, 3, 3, 0, 2, 1, 3, 4, 2, 3, 3, 1, 1, 1, 3, 2, 1, 2, 4, 3, 4, 4, 0, 3, 1, 4, 3, 3, 1, 2, 2, 3, 2, 0, 3, 0, 2, 1, 1, 0, 1, 0, 4, 4, 0, 1, 0, 3, 0, 4, 3, 2, 3, 0, 4, 3, 1, 1, 3, 3, 3, 1, 3, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 3, 2, 1, 4, 2, 3, 2, 4, 1, 3, 1, 0, 1, 4, 4, 1, 3, 3, 3, 2, 3, 1, 1, 2, 0, 1, 0, 1, 3, 1, 4, 4, 1, 1, 4, 1, 1, 3, 4, 2, 0, 2, 3, 2, 0, 4, 0, 0, 3, 4, 1, 3, 1, 3, 0, 4, 2, 4, 3, 1, 1, 1, 1, 1, 2, 0, 1, 3, 2, 1, 2, 3, 1, 1, 4, 2, 0, 3, 4, 2, 2, 1, 4, 1, 2, 1, 4, 4, 1, 3, 1, 2, 0, 2, 1, 4, 4, 4, 4, 0, 2, 3, 2, 3, 1, 0, 2, 4, 2, 0, 3, 0, 4, 3, 3, 3, 4, 0, 2, 0, 2, 2, 2, 0, 2, 4, 0, 4, 0, 2, 4, 2, 4, 4, 2, 4, 2, 4, 0, 4, 0, 3, 0, 2, 0, 0, 4, 0, 0, 3, 1, 0, 3, 2, 3, 4, 4, 2, 0, 2, 3, 3, 0, 4, 0, 2, 3, 1, 0, 1, 4, 4, 0, 4, 4, 3, 4, 4, 3, 1, 0, 0, 3, 0, 3, 4, 2, 4, 0, 1, 2, 3, 1, 4, 1, 3, 0, 3, 2, 2, 3, 0, 3, 0, 1, 0, 4, 4, 0, 1, 2, 3, 0, 2, 4, 3, 4, 1, 0, 2, 3, 3, 3, 2, 2, 0, 3, 1, 1, 4, 2, 2, 1, 4, 0, 3, 4, 0, 3, 4, 1, 1, 3, 0, 0, 4, 3, 0, 2, 2, 0, 0, 4, 0, 2, 4, 1, 2, 3, 0, 0, 1, 1, 0, 1, 2, 2, 4, 3, 4, 3, 4, 2, 2, 0, 2, 3, 4, 4, 1, 1, 0, 0, 0, 4, 4, 2, 0, 3, 3, 2, 2, 4, 3, 3, 4, 0, 2, 0, 0, 4, 4, 4, 4, 1, 1, 2, 3, 0, 4, 1, 4, 2]
pubkeycol1544 = [1, 3, 3, 4, 2, 3, 4, 4, 2, 0, 4, 4, 0, 1, 2, 0, 4, 4, 4, 1, 3, 0, 0, 0, 3, 2, 3, 4, 3, 0, 3, 3, 2, 3, 3, 2, 2, 1, 2, 3, 0, 4, 0, 3, 2, 1, 0, 2, 4, 2, 2, 0, 0, 4, 0, 4, 3, 2, 1, 1, 0, 4, 0, 4, 4, 3, 2, 2, 4, 4, 0, 0, 3, 1, 1, 4, 2, 4, 0, 1, 0, 1, 2, 2, 2, 0, 2, 4, 2, 0, 4, 1, 0, 1, 3, 4, 1, 0, 0, 4, 0, 1, 3, 0, 2, 3, 4, 2, 0, 0, 1, 0, 4, 3, 2, 0, 0, 3, 3, 1, 3, 0, 0, 1, 4, 1, 3, 0, 1, 3, 0, 1, 3, 4, 1, 0, 3, 0, 2, 3, 3, 0, 2, 2, 2, 2, 2, 4, 0, 3, 4, 4, 4, 2, 2, 2, 2, 3, 3, 2, 1, 3, 4, 0, 0, 1, 0, 1, 2, 1, 4, 2, 2, 0, 0, 1, 4, 4, 2, 3, 1, 0, 0, 2, 2, 3, 0, 4, 0, 2, 4, 2, 2, 2, 4, 2, 3, 1, 2, 2, 3, 4, 2, 0, 0, 0, 4, 3, 0, 4, 3, 0, 0, 0, 2, 1, 4, 3, 2, 0, 2, 1, 1, 2, 0, 4, 1, 1, 3, 4, 0, 2, 1, 2, 0, 2, 2, 3, 0, 1, 3, 4, 3, 3, 4, 3, 2, 2, 3, 4, 1, 1, 2, 1, 1, 4, 0, 1, 1, 0, 0, 0, 4, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 4, 2, 1, 3, 3, 4, 4, 1, 1, 2, 0, 1, 1, 3, 3, 2, 0, 3, 4, 3, 0, 3, 4, 4, 1, 1, 1, 1, 2, 2, 1, 4, 1, 2, 1, 4, 3, 4, 3, 0, 0, 4, 2, 2, 0, 0, 1, 4, 0, 3, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 4, 2, 4, 3, 1, 3, 1, 1, 0, 4, 3, 4, 4, 0, 2, 0, 0, 3, 1, 0, 2, 0, 4, 4, 1, 4, 0, 4, 2, 1, 2, 3, 3, 1, 1, 0, 2, 3, 2, 0, 0, 0, 3, 1, 3, 2, 3, 3, 0, 0, 2, 3, 4, 2, 2, 4, 1, 3, 4, 1, 2, 3, 3, 3, 2]
pubkeycol1545 = [4, 2, 2, 3, 0, 1, 3, 4, 1, 4, 1, 4, 1, 3, 1, 4, 0, 2, 0, 3, 3, 2, 3, 4, 3, 0, 1, 4, 0, 2, 1, 4, 3, 1, 3, 4, 2, 1, 4, 2, 1, 0, 1, 1, 4, 3, 0, 4, 3, 1, 1, 1, 0, 0, 3, 2, 4, 1, 0, 3, 3, 3, 4, 4, 1, 1, 3, 1, 0, 1, 1, 3, 0, 1, 1, 0, 4, 1, 4, 1, 3, 4, 3, 1, 2, 1, 4, 1, 3, 3, 1, 0, 2, 4, 2, 3, 1, 4, 4, 3, 1, 3, 4, 0, 2, 1, 2, 0, 1, 4, 0, 1, 0, 4, 4, 0, 0, 2, 4, 1, 0, 1, 1, 1, 3, 2, 3, 4, 2, 2, 0, 1, 2, 1, 2, 1, 2, 4, 2, 0, 1, 1, 0, 1, 0, 1, 2, 3, 0, 1, 3, 3, 1, 3, 3, 3, 0, 1, 2, 4, 3, 3, 2, 3, 3, 4, 4, 1, 3, 3, 1, 2, 2, 3, 0, 1, 2, 1, 4, 1, 0, 2, 4, 3, 3, 0, 4, 0, 2, 0, 3, 2, 4, 1, 4, 2, 4, 4, 4, 3, 1, 2, 0, 1, 3, 3, 0, 4, 3, 2, 0, 3, 0, 2, 0, 3, 1, 1, 3, 0, 3, 0, 2, 1, 1, 1, 4, 0, 0, 2, 1, 4, 4, 4, 2, 4, 1, 0, 2, 2, 3, 1, 2, 2, 2, 4, 1, 2, 4, 4, 2, 3, 0, 1, 4, 2, 0, 2, 3, 2, 1, 3, 4, 4, 1, 3, 4, 1, 3, 0, 3, 1, 3, 4, 4, 4, 3, 3, 0, 0, 4, 4, 1, 2, 2, 4, 2, 1, 4, 0, 0, 0, 2, 2, 4, 3, 1, 1, 0, 1, 4, 0, 4, 4, 0, 4, 4, 3, 4, 0, 4, 0, 2, 2, 1, 3, 0, 3, 0, 2, 2, 2, 1, 0, 3, 0, 4, 1, 3, 1, 1, 1, 4, 3, 3, 3, 3, 4, 3, 2, 1, 3, 1, 3, 3, 4, 4, 3, 3, 0, 4, 0, 2, 0, 2, 4, 1, 2, 0, 3, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 3, 3, 3, 0, 1, 3, 0, 3, 3, 2, 2, 4, 2, 0, 4, 3, 2, 4, 4, 1, 2, 1, 3, 4, 2, 4, 2]
pubkeycol1546 = [3, 3, 3, 1, 2, 3, 1, 1, 4, 0, 3, 3, 1, 1, 3, 3, 0, 0, 4, 1, 1, 3, 0, 3, 3, 3, 1, 2, 0, 4, 4, 4, 4, 2, 0, 3, 3, 4, 1, 0, 2, 4, 3, 2, 2, 3, 4, 3, 2, 2, 1, 4, 0, 4, 4, 1, 3, 2, 3, 2, 3, 2, 2, 0, 2, 4, 1, 3, 1, 4, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 4, 0, 4, 3, 3, 4, 0, 1, 0, 1, 1, 0, 4, 1, 2, 4, 0, 1, 0, 1, 2, 2, 1, 4, 4, 3, 3, 4, 0, 3, 2, 3, 4, 1, 0, 0, 0, 1, 3, 4, 3, 3, 1, 4, 3, 0, 0, 3, 0, 3, 1, 3, 3, 2, 2, 4, 2, 2, 0, 1, 0, 4, 3, 1, 3, 2, 0, 4, 2, 1, 4, 1, 2, 4, 4, 4, 1, 1, 3, 1, 1, 3, 0, 3, 3, 4, 1, 3, 0, 4, 4, 1, 1, 3, 0, 1, 4, 0, 1, 2, 3, 3, 2, 1, 1, 2, 4, 0, 4, 2, 3, 0, 3, 3, 0, 4, 0, 4, 1, 4, 4, 4, 0, 0, 2, 3, 1, 1, 4, 3, 1, 3, 3, 2, 3, 1, 1, 3, 0, 0, 1, 2, 2, 0, 0, 2, 4, 4, 3, 2, 1, 3, 4, 1, 4, 0, 4, 3, 3, 1, 3, 3, 3, 3, 4, 3, 1, 3, 4, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 4, 0, 4, 0, 0, 4, 3, 4, 3, 3, 1, 0, 3, 1, 2, 2, 0, 3, 3, 0, 2, 2, 1, 3, 4, 3, 0, 3, 2, 1, 4, 0, 1, 1, 4, 0, 2, 1, 1, 0, 4, 1, 3, 4, 0, 1, 0, 0, 3, 2, 4, 1, 3, 2, 3, 1, 2, 2, 3, 3, 0, 2, 2, 4, 0, 3, 4, 3, 3, 3, 4, 1, 3, 0, 4, 2, 1, 1, 3, 1, 3, 0, 0, 4, 1, 2, 1, 0, 4, 4, 3, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 0, 1, 2, 4, 4, 1, 2, 4, 1, 3, 2, 4, 3, 4, 0, 3, 4, 0, 3, 0, 4, 0, 0, 0, 4, 3, 2, 1, 0, 4, 0, 1, 2, 0]
pubkeycol1547 = [0, 1, 0, 2, 2, 3, 2, 4, 0, 0, 1, 2, 3, 1, 1, 2, 2, 0, 4, 4, 4, 1, 0, 2, 3, 1, 2, 3, 4, 1, 4, 1, 0, 0, 4, 3, 0, 2, 1, 0, 3, 3, 2, 4, 1, 1, 1, 4, 0, 0, 0, 2, 2, 4, 0, 0, 2, 1, 3, 0, 4, 3, 1, 2, 1, 0, 0, 4, 0, 2, 1, 2, 1, 0, 3, 3, 4, 4, 4, 4, 3, 1, 0, 3, 2, 2, 2, 3, 4, 3, 0, 2, 3, 1, 4, 2, 3, 0, 0, 0, 3, 3, 2, 0, 2, 4, 2, 1, 0, 1, 0, 2, 1, 0, 4, 1, 0, 2, 4, 1, 4, 4, 4, 1, 4, 0, 4, 4, 3, 1, 1, 1, 1, 1, 2, 4, 1, 2, 2, 3, 4, 2, 2, 3, 3, 0, 1, 0, 2, 3, 3, 0, 0, 0, 1, 1, 1, 1, 3, 4, 1, 4, 3, 4, 2, 1, 4, 3, 1, 1, 4, 2, 1, 2, 3, 4, 1, 3, 2, 2, 3, 0, 3, 0, 4, 0, 4, 4, 4, 3, 3, 0, 1, 2, 4, 0, 4, 2, 0, 0, 1, 3, 1, 0, 1, 0, 4, 3, 2, 0, 0, 3, 1, 0, 1, 2, 0, 4, 2, 3, 1, 1, 4, 1, 1, 3, 2, 2, 4, 4, 1, 0, 1, 2, 2, 2, 1, 1, 1, 4, 3, 1, 4, 3, 0, 3, 0, 3, 4, 0, 1, 4, 4, 1, 3, 4, 1, 4, 3, 4, 0, 0, 1, 0, 3, 1, 3, 1, 0, 2, 0, 3, 0, 2, 0, 1, 3, 2, 3, 1, 2, 1, 2, 2, 4, 3, 0, 0, 1, 0, 4, 4, 2, 4, 0, 3, 3, 4, 2, 0, 0, 1, 4, 3, 3, 3, 3, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 4, 1, 3, 4, 3, 4, 2, 3, 4, 1, 1, 3, 0, 4, 1, 4, 2, 1, 0, 3, 4, 4, 4, 3, 3, 0, 4, 1, 1, 1, 4, 2, 4, 4, 2, 1, 0, 2, 3, 2, 4, 4, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 3, 0, 4, 3, 4, 3, 2, 4, 1, 4, 4, 3, 2, 3, 4, 1, 3, 2, 4, 3, 0, 0, 3, 1, 4, 3, 4, 4, 4, 0, 3]
pubkeycol1548 = [1, 2, 4, 2, 4, 1, 3, 2, 1, 3, 0, 1, 1, 4, 0, 3, 4, 3, 4, 4, 2, 2, 3, 1, 0, 4, 4, 2, 2, 2, 3, 2, 2, 3, 0, 2, 0, 4, 2, 2, 0, 0, 0, 1, 2, 2, 1, 4, 0, 4, 4, 1, 3, 4, 1, 0, 4, 0, 3, 0, 2, 2, 4, 3, 0, 3, 4, 4, 0, 1, 4, 3, 1, 3, 2, 2, 1, 2, 2, 1, 4, 1, 4, 0, 4, 3, 3, 0, 0, 2, 0, 2, 1, 4, 3, 1, 0, 1, 2, 2, 3, 4, 4, 2, 1, 3, 3, 1, 1, 2, 0, 2, 2, 0, 1, 3, 3, 0, 3, 2, 0, 0, 0, 3, 0, 3, 1, 2, 1, 0, 4, 1, 2, 3, 0, 1, 4, 4, 0, 2, 0, 1, 0, 4, 0, 1, 0, 4, 2, 0, 3, 1, 2, 0, 1, 2, 0, 0, 0, 0, 4, 2, 2, 1, 2, 4, 4, 1, 2, 3, 0, 1, 1, 0, 1, 2, 2, 2, 4, 2, 0, 1, 1, 2, 3, 3, 4, 1, 1, 2, 4, 4, 1, 0, 3, 0, 0, 0, 4, 1, 2, 1, 3, 4, 1, 3, 0, 0, 3, 3, 0, 3, 2, 1, 4, 0, 0, 1, 4, 4, 0, 0, 1, 0, 3, 1, 1, 3, 2, 2, 4, 2, 3, 0, 1, 4, 1, 2, 2, 4, 0, 1, 0, 3, 4, 1, 2, 4, 2, 1, 2, 4, 0, 2, 4, 0, 4, 3, 4, 4, 1, 0, 4, 0, 3, 1, 1, 3, 3, 3, 4, 0, 0, 3, 4, 2, 0, 4, 2, 4, 1, 0, 1, 2, 0, 4, 4, 0, 3, 0, 1, 4, 2, 2, 2, 0, 4, 4, 4, 0, 3, 3, 2, 0, 1, 4, 4, 3, 3, 1, 4, 0, 3, 2, 4, 2, 2, 3, 0, 0, 3, 2, 1, 4, 2, 0, 4, 4, 2, 0, 4, 4, 1, 3, 3, 4, 4, 3, 0, 4, 0, 3, 4, 0, 3, 0, 0, 1, 4, 1, 0, 2, 4, 3, 0, 0, 4, 4, 3, 3, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 3, 2, 3, 4, 4, 3, 3, 1, 1, 2, 1, 3, 3, 4, 3, 4, 3, 2, 1, 0, 1, 3, 2, 1, 0, 0, 4, 2, 3, 0]
pubkeycol1549 = [3, 3, 1, 3, 4, 0, 2, 0, 1, 4, 4, 1, 3, 3, 1, 4, 3, 3, 1, 4, 1, 4, 1, 2, 0, 1, 0, 4, 2, 1, 2, 3, 0, 4, 2, 4, 0, 0, 1, 2, 3, 1, 1, 4, 2, 2, 0, 0, 1, 0, 0, 3, 2, 3, 4, 4, 4, 1, 4, 0, 1, 2, 1, 4, 3, 0, 1, 3, 4, 1, 0, 3, 3, 1, 0, 2, 3, 0, 1, 0, 2, 2, 2, 2, 3, 0, 3, 1, 2, 0, 4, 3, 2, 1, 3, 3, 0, 1, 4, 3, 1, 4, 3, 3, 4, 4, 1, 4, 3, 1, 3, 2, 1, 1, 3, 2, 3, 4, 2, 0, 1, 2, 1, 4, 4, 3, 2, 3, 3, 3, 1, 4, 3, 3, 2, 3, 1, 1, 2, 3, 0, 1, 3, 3, 1, 4, 1, 0, 2, 0, 3, 2, 4, 4, 2, 1, 3, 3, 2, 3, 2, 2, 0, 0, 0, 3, 2, 0, 0, 2, 1, 1, 2, 2, 2, 4, 0, 1, 0, 0, 3, 1, 0, 3, 2, 1, 0, 2, 0, 1, 3, 1, 3, 2, 0, 1, 2, 3, 0, 1, 4, 4, 4, 0, 3, 2, 3, 4, 4, 3, 2, 2, 4, 1, 4, 2, 3, 1, 0, 3, 2, 1, 3, 1, 0, 1, 1, 0, 4, 1, 0, 0, 1, 4, 1, 2, 2, 0, 1, 2, 1, 1, 3, 3, 0, 3, 1, 1, 3, 2, 0, 1, 3, 4, 1, 3, 2, 1, 1, 2, 3, 1, 0, 1, 1, 1, 3, 1, 4, 4, 0, 2, 2, 4, 0, 0, 3, 3, 4, 2, 4, 3, 3, 0, 0, 3, 1, 4, 2, 2, 1, 3, 4, 0, 2, 0, 0, 1, 1, 0, 1, 3, 3, 4, 0, 0, 3, 0, 4, 3, 3, 2, 3, 4, 4, 0, 4, 3, 3, 0, 3, 1, 3, 3, 0, 0, 0, 4, 0, 2, 3, 0, 2, 1, 1, 4, 3, 1, 4, 2, 0, 1, 1, 4, 1, 0, 3, 3, 0, 0, 4, 1, 4, 2, 3, 1, 3, 3, 2, 4, 0, 3, 3, 1, 3, 4, 0, 2, 1, 2, 4, 4, 0, 1, 0, 0, 4, 1, 0, 1, 4, 4, 3, 1, 1, 3, 4, 0, 4, 0, 1, 2, 0, 4, 3, 2, 1, 0, 2, 4]
pubkeycol1550 = [1, 3, 2, 1, 0, 2, 1, 3, 3, 0, 2, 3, 0, 4, 1, 1, 3, 3, 2, 4, 2, 1, 1, 4, 1, 2, 4, 4, 0, 0, 1, 2, 1, 3, 2, 2, 2, 1, 3, 2, 4, 1, 0, 2, 4, 0, 3, 1, 2, 0, 2, 4, 3, 4, 3, 3, 0, 1, 3, 3, 2, 0, 1, 0, 2, 1, 0, 4, 3, 3, 2, 1, 2, 4, 3, 0, 0, 2, 1, 1, 3, 4, 2, 3, 3, 4, 1, 2, 4, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 4, 3, 0, 3, 4, 2, 1, 1, 0, 4, 2, 1, 3, 2, 2, 4, 2, 3, 0, 2, 1, 1, 0, 3, 3, 1, 0, 0, 4, 1, 1, 3, 2, 0, 0, 4, 2, 3, 1, 1, 4, 2, 2, 0, 1, 3, 1, 0, 1, 2, 4, 2, 3, 2, 1, 1, 1, 4, 2, 4, 3, 3, 2, 4, 2, 1, 0, 2, 0, 3, 4, 0, 1, 2, 0, 4, 2, 1, 4, 4, 0, 4, 3, 4, 4, 0, 1, 2, 1, 0, 3, 0, 4, 0, 0, 1, 0, 0, 3, 3, 3, 2, 1, 4, 2, 1, 4, 2, 1, 2, 1, 0, 4, 4, 4, 2, 0, 2, 4, 0, 2, 3, 4, 2, 1, 4, 2, 3, 4, 4, 1, 0, 1, 1, 1, 4, 0, 4, 2, 1, 3, 1, 3, 2, 0, 0, 3, 0, 3, 4, 0, 0, 3, 1, 4, 1, 0, 4, 1, 0, 3, 1, 2, 3, 3, 2, 3, 1, 1, 1, 2, 4, 1, 4, 4, 0, 3, 0, 3, 1, 4, 1, 3, 0, 4, 3, 2, 2, 0, 4, 1, 2, 1, 4, 3, 0, 2, 1, 1, 2, 3, 0, 2, 0, 2, 3, 4, 0, 3, 0, 0, 4, 3, 3, 4, 1, 0, 1, 4, 1, 4, 4, 2, 2, 2, 4, 4, 0, 1, 2, 2, 2, 4, 2, 0, 3, 3, 4, 4, 4, 3, 1, 0, 0, 4, 3, 3, 2, 2, 2, 4, 0, 2, 4, 1, 1, 0, 3, 2, 1, 0, 4, 0, 3, 1, 4, 0, 4, 0, 2, 2, 2, 4, 1, 2, 0, 2, 4, 3, 4, 2, 2, 0, 0, 2, 0, 3, 4, 0, 3, 4, 2, 0, 3, 3, 3, 3, 3, 3, 1, 4]
pubkeycol1551 = [4, 1, 0, 1, 4, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 4, 2, 1, 1, 3, 1, 1, 1, 1, 0, 1, 3, 4, 1, 4, 4, 1, 3, 3, 4, 3, 1, 2, 2, 4, 4, 3, 3, 4, 0, 4, 2, 1, 4, 4, 2, 1, 0, 0, 1, 4, 4, 0, 1, 3, 4, 4, 3, 2, 0, 2, 4, 1, 1, 4, 1, 1, 1, 2, 2, 3, 3, 2, 3, 4, 1, 0, 3, 2, 3, 0, 0, 4, 1, 2, 2, 2, 1, 3, 1, 4, 1, 1, 2, 4, 1, 2, 1, 4, 0, 1, 0, 3, 2, 4, 0, 3, 3, 2, 3, 4, 2, 1, 3, 4, 3, 4, 1, 0, 4, 0, 1, 0, 0, 1, 4, 1, 3, 3, 1, 4, 4, 3, 0, 3, 2, 4, 3, 3, 4, 3, 3, 2, 2, 1, 0, 0, 4, 3, 2, 3, 1, 0, 4, 3, 4, 3, 4, 4, 0, 4, 1, 2, 1, 4, 2, 0, 4, 2, 3, 0, 3, 3, 2, 1, 4, 0, 0, 3, 0, 1, 4, 0, 4, 3, 4, 4, 4, 4, 1, 3, 4, 1, 1, 2, 0, 1, 4, 3, 3, 0, 3, 4, 3, 4, 0, 4, 1, 0, 1, 2, 3, 3, 4, 0, 0, 1, 2, 2, 1, 2, 4, 3, 3, 4, 0, 2, 3, 0, 4, 1, 4, 0, 1, 3, 4, 2, 3, 0, 0, 2, 4, 2, 4, 2, 0, 3, 3, 2, 4, 3, 3, 1, 2, 3, 3, 1, 3, 3, 1, 0, 4, 1, 3, 0, 3, 4, 0, 3, 1, 3, 4, 4, 4, 1, 1, 4, 0, 1, 4, 1, 2, 4, 4, 0, 4, 0, 4, 4, 2, 0, 1, 3, 1, 0, 3, 1, 2, 1, 0, 3, 1, 2, 0, 4, 0, 1, 4, 1, 3, 2, 0, 1, 0, 4, 2, 2, 1, 4, 3, 4, 2, 4, 2, 1, 2, 4, 1, 1, 3, 2, 0, 3, 0, 3, 4, 4, 4, 1, 3, 3, 2, 3, 3, 1, 2, 2, 4, 3, 1, 4, 3, 3, 2, 1, 1, 2, 1, 3, 0, 4, 2, 2, 2, 1, 3, 3, 1, 0, 3, 1, 3, 0, 1, 1, 4, 1, 0, 4, 4, 4, 3, 3, 3, 3, 2, 1, 2, 0, 4, 0, 2, 1]
pubkeycol1552 = [4, 0, 0, 3, 2, 0, 2, 1, 4, 2, 2, 1, 1, 3, 2, 3, 1, 4, 0, 4, 4, 2, 2, 4, 3, 2, 3, 2, 4, 0, 0, 0, 2, 4, 1, 4, 1, 0, 3, 1, 3, 0, 3, 1, 0, 3, 3, 3, 1, 3, 2, 4, 3, 3, 2, 3, 3, 4, 0, 2, 1, 3, 1, 2, 4, 1, 4, 2, 0, 1, 1, 0, 3, 3, 3, 1, 2, 1, 3, 1, 4, 2, 0, 1, 1, 4, 1, 1, 4, 0, 0, 2, 2, 3, 1, 0, 0, 4, 3, 1, 3, 3, 2, 2, 1, 1, 3, 1, 1, 0, 4, 0, 0, 0, 4, 0, 1, 1, 3, 4, 2, 3, 4, 1, 1, 2, 0, 0, 2, 4, 1, 4, 0, 3, 4, 0, 2, 1, 0, 1, 2, 3, 0, 2, 1, 3, 3, 4, 1, 4, 4, 1, 1, 2, 0, 0, 4, 3, 3, 3, 3, 0, 1, 1, 3, 3, 2, 1, 2, 2, 4, 1, 2, 4, 1, 0, 4, 4, 1, 1, 2, 1, 1, 3, 3, 3, 0, 1, 2, 0, 1, 4, 4, 0, 1, 0, 4, 3, 3, 4, 1, 1, 3, 1, 1, 0, 3, 4, 0, 2, 1, 0, 4, 3, 3, 4, 2, 0, 3, 1, 4, 3, 1, 1, 1, 0, 4, 3, 0, 2, 3, 1, 3, 1, 4, 0, 3, 4, 0, 0, 2, 1, 0, 3, 4, 0, 0, 4, 1, 1, 4, 3, 2, 2, 1, 2, 4, 4, 4, 1, 1, 4, 4, 0, 2, 2, 4, 3, 4, 4, 0, 2, 3, 4, 2, 0, 1, 0, 2, 0, 3, 2, 3, 0, 3, 4, 2, 0, 2, 2, 0, 0, 3, 2, 4, 3, 4, 0, 2, 3, 0, 0, 1, 3, 1, 2, 2, 1, 3, 2, 0, 4, 0, 4, 2, 0, 3, 3, 1, 0, 1, 4, 3, 0, 1, 2, 1, 3, 2, 1, 2, 4, 4, 4, 2, 2, 3, 2, 2, 1, 3, 4, 2, 2, 0, 3, 2, 2, 2, 2, 0, 2, 2, 3, 2, 1, 1, 0, 4, 2, 2, 3, 2, 2, 1, 1, 2, 0, 3, 4, 4, 0, 1, 4, 2, 1, 0, 2, 3, 3, 0, 3, 3, 3, 0, 2, 2, 0, 1, 1, 0, 2, 4, 4, 2, 3, 0, 4, 3, 3]
pubkeycol1553 = [4, 0, 1, 4, 0, 1, 1, 3, 1, 0, 0, 4, 2, 3, 4, 2, 0, 4, 2, 1, 2, 3, 0, 1, 4, 2, 0, 0, 1, 4, 1, 0, 4, 1, 4, 1, 1, 0, 1, 3, 2, 1, 2, 0, 1, 2, 4, 0, 4, 2, 0, 1, 0, 3, 2, 1, 0, 1, 3, 3, 2, 0, 1, 4, 0, 4, 3, 4, 0, 4, 0, 3, 1, 1, 0, 2, 1, 3, 1, 0, 2, 4, 0, 1, 2, 0, 2, 0, 0, 0, 4, 3, 1, 0, 2, 4, 2, 2, 1, 0, 4, 0, 3, 2, 2, 0, 0, 1, 1, 3, 4, 0, 3, 2, 0, 3, 4, 3, 3, 1, 1, 0, 0, 2, 2, 1, 2, 2, 3, 3, 0, 3, 1, 1, 1, 3, 3, 4, 1, 2, 2, 1, 2, 0, 3, 1, 3, 1, 2, 4, 4, 3, 1, 1, 4, 4, 2, 2, 4, 2, 4, 4, 0, 4, 2, 1, 3, 4, 3, 1, 1, 2, 2, 2, 0, 3, 3, 2, 3, 4, 4, 0, 1, 1, 1, 4, 3, 3, 1, 0, 4, 0, 4, 4, 1, 2, 4, 3, 3, 1, 4, 0, 3, 1, 0, 0, 3, 2, 2, 0, 1, 4, 3, 0, 1, 1, 0, 4, 4, 1, 4, 0, 3, 4, 3, 1, 1, 0, 2, 0, 0, 3, 1, 3, 3, 2, 2, 0, 4, 2, 4, 1, 1, 3, 1, 4, 3, 1, 3, 4, 4, 3, 4, 4, 1, 3, 2, 3, 0, 1, 0, 4, 4, 3, 1, 2, 1, 4, 1, 1, 1, 3, 0, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 4, 1, 0, 0, 1, 2, 2, 2, 0, 3, 1, 1, 3, 3, 4, 4, 3, 1, 1, 0, 2, 4, 3, 3, 1, 3, 1, 0, 0, 0, 4, 0, 2, 2, 2, 3, 3, 3, 3, 4, 1, 0, 0, 3, 4, 0, 4, 3, 0, 1, 2, 1, 4, 2, 4, 2, 0, 0, 1, 1, 1, 4, 0, 2, 1, 4, 1, 2, 0, 3, 4, 3, 2, 0, 1, 3, 3, 0, 2, 1, 1, 3, 2, 2, 3, 0, 1, 2, 1, 2, 2, 4, 1, 1, 4, 1, 1, 2, 3, 4, 1, 0, 4, 3, 4, 0, 4, 1, 2, 1, 2, 3, 3, 1, 4, 1]
pubkeycol1554 = [1, 4, 3, 1, 1, 1, 0, 3, 4, 3, 4, 3, 2, 3, 0, 3, 2, 3, 1, 1, 0, 3, 3, 0, 3, 2, 0, 1, 4, 2, 1, 1, 0, 0, 2, 1, 1, 2, 3, 2, 0, 2, 4, 4, 2, 4, 3, 1, 1, 3, 1, 0, 1, 1, 1, 4, 2, 3, 1, 1, 1, 3, 1, 1, 2, 2, 0, 1, 3, 0, 4, 2, 1, 2, 1, 3, 2, 2, 2, 4, 3, 3, 2, 3, 1, 4, 2, 4, 0, 4, 0, 3, 1, 1, 0, 0, 3, 3, 0, 3, 4, 0, 2, 3, 3, 1, 1, 1, 1, 0, 1, 2, 1, 3, 2, 0, 3, 1, 4, 4, 4, 4, 0, 1, 4, 3, 4, 2, 2, 3, 0, 3, 0, 0, 2, 1, 2, 0, 0, 4, 1, 3, 1, 2, 4, 2, 1, 3, 1, 3, 0, 4, 0, 2, 1, 3, 4, 3, 2, 4, 4, 4, 0, 0, 2, 3, 1, 1, 4, 3, 0, 0, 3, 1, 1, 2, 1, 4, 3, 2, 2, 0, 4, 0, 1, 4, 3, 1, 4, 0, 2, 4, 0, 4, 3, 3, 4, 2, 4, 1, 2, 0, 0, 3, 4, 1, 4, 1, 3, 0, 0, 3, 4, 0, 2, 1, 0, 2, 0, 4, 0, 4, 0, 4, 3, 3, 4, 2, 4, 1, 1, 0, 1, 0, 4, 0, 4, 2, 2, 1, 3, 2, 4, 4, 1, 4, 2, 1, 2, 4, 1, 0, 4, 4, 0, 0, 3, 0, 4, 1, 4, 3, 1, 3, 1, 1, 1, 0, 2, 1, 0, 3, 1, 3, 3, 0, 0, 1, 0, 2, 1, 0, 2, 3, 1, 4, 2, 3, 3, 4, 0, 2, 4, 1, 1, 0, 1, 3, 1, 4, 2, 3, 0, 3, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 3, 4, 3, 1, 4, 1, 4, 3, 0, 2, 3, 3, 3, 3, 3, 4, 3, 0, 3, 0, 1, 1, 4, 0, 4, 3, 4, 1, 0, 0, 3, 0, 4, 3, 2, 3, 0, 1, 2, 4, 3, 1, 2, 1, 0, 0, 0, 0, 2, 4, 2, 1, 3, 0, 1, 4, 4, 2, 1, 4, 2, 4, 4, 3, 3, 0, 0, 4, 0, 1, 3, 3, 1, 1, 4, 4, 1, 1, 3, 3, 4, 4, 2, 0]
pubkeycol1555 = [2, 1, 3, 1, 4, 2, 0, 1, 4, 4, 2, 4, 1, 1, 0, 2, 0, 2, 0, 4, 4, 1, 2, 2, 4, 2, 0, 2, 3, 4, 0, 4, 3, 0, 4, 3, 1, 0, 0, 4, 2, 1, 4, 4, 3, 2, 0, 3, 2, 0, 0, 3, 2, 0, 0, 3, 3, 2, 1, 1, 0, 3, 1, 4, 3, 2, 4, 3, 3, 1, 4, 3, 2, 0, 2, 3, 3, 3, 3, 3, 4, 0, 0, 2, 0, 0, 4, 2, 4, 0, 2, 0, 0, 3, 0, 0, 2, 3, 0, 1, 2, 0, 2, 3, 4, 0, 0, 1, 2, 2, 0, 4, 1, 4, 4, 2, 3, 0, 1, 0, 3, 2, 4, 1, 2, 2, 4, 0, 0, 0, 3, 0, 2, 4, 0, 4, 1, 4, 0, 3, 2, 2, 1, 1, 0, 0, 0, 4, 1, 3, 4, 2, 2, 1, 2, 3, 4, 0, 0, 1, 0, 2, 2, 1, 2, 3, 4, 2, 0, 2, 3, 0, 2, 0, 3, 4, 0, 4, 2, 3, 1, 2, 0, 2, 2, 0, 2, 0, 4, 3, 2, 0, 2, 3, 1, 2, 0, 1, 1, 0, 0, 4, 1, 3, 2, 4, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 4, 1, 0, 4, 3, 2, 3, 0, 1, 2, 2, 3, 4, 3, 3, 2, 1, 2, 0, 2, 1, 0, 4, 4, 1, 1, 3, 4, 1, 1, 2, 0, 2, 3, 3, 3, 1, 2, 4, 1, 0, 0, 0, 2, 4, 4, 3, 2, 4, 1, 4, 4, 3, 2, 0, 1, 4, 1, 1, 2, 2, 4, 4, 1, 3, 3, 1, 2, 3, 1, 4, 3, 1, 3, 2, 3, 0, 0, 2, 2, 4, 2, 0, 2, 4, 4, 4, 0, 1, 4, 1, 1, 3, 4, 2, 0, 4, 3, 0, 3, 4, 2, 3, 2, 4, 3, 2, 1, 4, 2, 3, 1, 3, 0, 4, 1, 1, 1, 3, 0, 3, 3, 4, 1, 0, 2, 4, 2, 2, 1, 3, 3, 3, 0, 2, 4, 1, 4, 4, 0, 4, 1, 2, 3, 4, 3, 2, 2, 0, 4, 0, 2, 2, 0, 0, 3, 1, 1, 2, 2, 3, 0, 4, 3, 3, 0, 4, 2, 3, 4, 3, 1, 0, 2, 1, 1, 4, 4, 2, 3, 1, 0]
pubkeycol1556 = [3, 0, 2, 2, 4, 1, 1, 2, 2, 2, 2, 3, 2, 1, 1, 4, 4, 3, 3, 2, 0, 4, 3, 1, 1, 3, 4, 1, 1, 0, 2, 2, 1, 3, 4, 4, 2, 1, 1, 2, 2, 2, 2, 3, 1, 4, 1, 1, 2, 0, 0, 1, 2, 2, 2, 4, 1, 3, 0, 2, 4, 2, 4, 3, 3, 4, 1, 2, 0, 0, 3, 4, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 3, 4, 1, 3, 4, 2, 2, 1, 1, 3, 3, 0, 1, 1, 1, 3, 4, 3, 4, 3, 3, 0, 1, 4, 4, 4, 1, 4, 2, 1, 1, 0, 4, 4, 0, 2, 2, 4, 4, 3, 4, 3, 0, 3, 3, 2, 4, 1, 2, 3, 0, 1, 1, 4, 4, 1, 1, 0, 4, 1, 3, 3, 1, 3, 2, 1, 3, 1, 4, 3, 4, 1, 3, 4, 3, 0, 0, 3, 1, 2, 0, 4, 1, 4, 1, 2, 0, 2, 4, 1, 1, 4, 2, 4, 2, 3, 2, 3, 2, 3, 3, 4, 1, 1, 3, 0, 2, 2, 2, 3, 1, 0, 2, 3, 2, 1, 0, 3, 4, 3, 1, 4, 2, 4, 4, 2, 1, 4, 4, 3, 1, 1, 2, 3, 2, 4, 4, 0, 0, 1, 0, 0, 3, 1, 1, 1, 3, 1, 2, 0, 2, 3, 0, 2, 4, 1, 2, 4, 4, 4, 0, 2, 2, 2, 0, 4, 4, 2, 1, 2, 2, 2, 2, 1, 0, 3, 3, 1, 2, 4, 4, 0, 4, 3, 3, 2, 1, 3, 3, 0, 0, 4, 3, 0, 4, 4, 2, 2, 2, 2, 0, 2, 3, 4, 4, 3, 4, 4, 3, 1, 0, 3, 1, 3, 4, 0, 3, 0, 1, 1, 2, 0, 4, 1, 3, 4, 0, 3, 0, 4, 0, 2, 3, 2, 1, 0, 1, 1, 3, 0, 4, 2, 4, 0, 3, 4, 0, 0, 2, 2, 3, 3, 1, 0, 0, 3, 3, 1, 3, 3, 3, 4, 0, 0, 4, 2, 2, 2, 3, 1, 1, 1, 0, 2, 4, 4, 0, 2, 0, 3, 4, 0, 3, 1, 4, 2, 3, 4, 0, 1, 4, 4, 1, 2, 2, 2, 4, 2, 4, 2, 1, 3, 3, 0, 0, 1, 4, 1, 0, 1, 1, 3, 2, 4, 4, 0, 4, 3]
pubkeycol1557 = [0, 4, 0, 4, 1, 3, 0, 4, 0, 1, 3, 4, 1, 1, 1, 2, 3, 1, 1, 1, 4, 4, 3, 3, 3, 4, 1, 4, 4, 1, 1, 4, 2, 0, 1, 0, 1, 2, 0, 1, 4, 4, 4, 4, 1, 1, 3, 0, 4, 3, 0, 1, 2, 4, 0, 2, 1, 2, 1, 0, 1, 4, 3, 1, 3, 4, 4, 0, 4, 1, 3, 4, 3, 2, 4, 0, 0, 1, 0, 4, 3, 2, 0, 4, 3, 3, 4, 3, 1, 0, 2, 1, 0, 1, 3, 1, 3, 4, 3, 0, 3, 2, 0, 2, 1, 0, 3, 4, 1, 0, 2, 3, 2, 2, 2, 1, 0, 2, 2, 3, 0, 4, 1, 2, 0, 1, 1, 2, 3, 4, 1, 2, 1, 2, 3, 4, 0, 3, 0, 1, 0, 3, 2, 4, 3, 3, 1, 1, 4, 2, 3, 4, 1, 4, 0, 3, 3, 3, 3, 2, 4, 3, 0, 2, 2, 1, 2, 3, 1, 4, 0, 0, 1, 3, 2, 3, 0, 1, 3, 0, 3, 1, 3, 3, 4, 2, 3, 3, 0, 1, 0, 4, 4, 1, 0, 3, 0, 4, 3, 4, 0, 3, 4, 0, 3, 1, 1, 3, 2, 0, 1, 1, 0, 3, 4, 3, 2, 1, 0, 4, 1, 0, 0, 1, 0, 0, 3, 2, 4, 4, 3, 2, 0, 2, 3, 3, 4, 2, 2, 3, 2, 0, 4, 4, 2, 1, 3, 0, 1, 0, 2, 3, 3, 4, 1, 1, 2, 0, 3, 3, 3, 0, 1, 4, 4, 1, 4, 3, 2, 3, 3, 3, 0, 3, 3, 0, 3, 4, 0, 3, 2, 2, 3, 1, 1, 4, 0, 3, 4, 4, 3, 0, 4, 3, 3, 4, 2, 3, 1, 1, 1, 1, 1, 4, 4, 3, 0, 0, 4, 1, 4, 0, 4, 2, 4, 1, 0, 1, 2, 2, 1, 0, 4, 0, 4, 3, 3, 1, 3, 1, 1, 4, 2, 1, 4, 4, 1, 3, 2, 0, 4, 3, 1, 4, 3, 4, 2, 2, 0, 4, 2, 3, 2, 0, 4, 0, 2, 4, 2, 0, 2, 0, 1, 2, 3, 4, 0, 2, 2, 0, 4, 2, 4, 0, 3, 1, 0, 1, 2, 2, 3, 3, 3, 0, 2, 3, 1, 3, 3, 1, 4, 2, 2, 1, 2, 1, 1, 3, 0, 3]
pubkeycol1558 = [3, 0, 2, 2, 3, 2, 0, 1, 0, 0, 1, 0, 4, 0, 0, 4, 0, 1, 3, 1, 3, 1, 4, 2, 2, 1, 2, 3, 2, 3, 3, 4, 3, 3, 1, 0, 3, 4, 2, 0, 2, 1, 4, 1, 3, 4, 2, 2, 0, 4, 1, 4, 0, 3, 1, 1, 3, 0, 3, 1, 3, 0, 3, 4, 0, 1, 4, 0, 4, 2, 0, 4, 2, 0, 4, 3, 2, 1, 4, 0, 2, 2, 0, 1, 1, 2, 4, 2, 4, 0, 1, 1, 4, 2, 2, 1, 4, 4, 3, 2, 3, 4, 0, 1, 1, 0, 4, 2, 4, 0, 4, 1, 1, 3, 3, 3, 0, 1, 1, 2, 3, 3, 2, 0, 0, 1, 3, 0, 4, 4, 0, 3, 0, 4, 1, 2, 3, 1, 4, 2, 3, 2, 3, 0, 4, 4, 0, 0, 2, 0, 1, 4, 1, 2, 3, 1, 0, 2, 3, 3, 4, 2, 4, 0, 0, 2, 4, 3, 0, 0, 1, 3, 2, 1, 4, 0, 1, 4, 3, 0, 4, 3, 1, 2, 3, 1, 3, 4, 0, 1, 4, 1, 3, 2, 2, 0, 4, 1, 1, 4, 1, 2, 2, 0, 3, 4, 2, 4, 3, 0, 0, 0, 0, 0, 2, 4, 2, 2, 0, 4, 4, 3, 3, 3, 2, 2, 0, 1, 3, 3, 2, 3, 2, 2, 3, 3, 0, 3, 1, 3, 4, 1, 1, 1, 2, 4, 0, 4, 0, 2, 2, 3, 2, 0, 3, 4, 0, 0, 3, 1, 4, 4, 3, 0, 4, 0, 3, 0, 4, 0, 2, 4, 3, 0, 4, 2, 1, 3, 2, 4, 2, 0, 2, 1, 3, 4, 2, 1, 4, 3, 3, 2, 0, 1, 3, 4, 2, 2, 2, 3, 3, 1, 1, 3, 1, 3, 1, 3, 1, 1, 1, 3, 2, 4, 1, 1, 2, 2, 2, 1, 0, 4, 1, 0, 1, 0, 0, 0, 3, 4, 4, 3, 4, 4, 3, 3, 4, 1, 1, 2, 2, 2, 1, 3, 2, 0, 2, 3, 4, 0, 2, 3, 3, 4, 0, 4, 2, 4, 2, 0, 3, 0, 2, 4, 2, 3, 4, 2, 0, 0, 4, 0, 4, 2, 4, 3, 2, 1, 4, 2, 1, 4, 1, 3, 0, 0, 1, 0, 2, 2, 3, 1, 4, 3, 2, 4, 1, 1, 2, 2]
pubkeycol1559 = [4, 4, 0, 1, 1, 0, 4, 0, 1, 0, 3, 4, 1, 2, 0, 0, 4, 2, 3, 1, 0, 1, 0, 4, 0, 4, 3, 4, 3, 0, 1, 0, 1, 1, 3, 4, 2, 2, 2, 1, 0, 0, 2, 0, 3, 2, 4, 0, 4, 3, 0, 0, 4, 0, 2, 3, 1, 2, 4, 4, 2, 2, 1, 1, 2, 1, 3, 1, 0, 2, 3, 0, 4, 1, 3, 3, 2, 1, 3, 0, 0, 0, 4, 0, 1, 0, 2, 1, 4, 2, 0, 3, 2, 0, 2, 0, 1, 2, 1, 4, 2, 1, 3, 1, 3, 0, 4, 0, 0, 2, 4, 3, 3, 3, 1, 0, 3, 0, 0, 2, 0, 2, 3, 0, 1, 0, 3, 4, 1, 1, 1, 4, 3, 1, 4, 0, 0, 4, 3, 2, 4, 1, 2, 0, 1, 3, 0, 2, 3, 4, 2, 2, 3, 4, 3, 2, 0, 3, 1, 2, 2, 4, 0, 0, 4, 1, 4, 0, 0, 4, 2, 1, 2, 1, 0, 3, 3, 3, 2, 3, 0, 4, 1, 2, 1, 0, 0, 1, 3, 2, 0, 3, 4, 2, 2, 0, 1, 4, 2, 0, 4, 1, 1, 1, 0, 0, 3, 0, 0, 4, 3, 0, 1, 1, 1, 2, 3, 3, 4, 0, 3, 3, 0, 0, 3, 0, 4, 0, 3, 4, 0, 3, 1, 2, 1, 3, 1, 0, 0, 0, 3, 0, 3, 0, 3, 1, 4, 1, 1, 4, 4, 3, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 3, 1, 0, 4, 0, 2, 2, 1, 1, 4, 1, 0, 2, 0, 4, 4, 0, 0, 2, 0, 4, 4, 0, 2, 0, 4, 3, 4, 1, 1, 4, 0, 0, 2, 3, 4, 1, 0, 1, 4, 4, 2, 4, 4, 1, 4, 1, 4, 4, 1, 4, 1, 2, 4, 1, 2, 2, 4, 2, 3, 0, 4, 0, 3, 0, 2, 3, 3, 0, 3, 2, 4, 3, 0, 4, 2, 3, 1, 4, 0, 2, 3, 3, 1, 0, 3, 0, 1, 3, 0, 0, 0, 4, 0, 3, 0, 4, 1, 4, 0, 4, 3, 2, 0, 0, 3, 4, 4, 1, 3, 1, 0, 1, 3, 1, 0, 1, 2, 0, 4, 3, 2, 0, 3, 2, 0, 4, 2, 1, 1, 0, 2, 3, 2, 3, 3, 2]
pubkeycol1560 = [1, 2, 4, 3, 3, 0, 1, 3, 2, 3, 1, 2, 4, 0, 1, 2, 1, 0, 3, 1, 3, 0, 3, 0, 0, 1, 2, 3, 4, 1, 2, 0, 2, 2, 0, 0, 3, 4, 2, 3, 4, 3, 2, 0, 2, 3, 4, 2, 3, 0, 3, 4, 0, 3, 2, 3, 0, 2, 3, 1, 4, 2, 4, 0, 3, 2, 2, 3, 1, 3, 4, 2, 4, 4, 2, 4, 3, 0, 1, 2, 2, 0, 4, 3, 2, 1, 1, 2, 1, 1, 1, 4, 1, 2, 0, 0, 0, 3, 0, 1, 3, 3, 0, 2, 1, 0, 0, 1, 2, 4, 3, 0, 4, 4, 0, 3, 0, 3, 1, 1, 2, 0, 0, 3, 0, 3, 1, 1, 4, 0, 4, 3, 1, 3, 1, 0, 3, 2, 2, 2, 3, 1, 4, 0, 1, 3, 0, 1, 3, 0, 3, 0, 3, 2, 4, 0, 4, 2, 0, 4, 3, 0, 4, 1, 1, 4, 2, 2, 3, 2, 3, 3, 2, 3, 4, 3, 3, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 4, 2, 2, 3, 2, 1, 2, 3, 2, 3, 3, 4, 4, 0, 2, 4, 1, 2, 2, 4, 1, 2, 1, 0, 4, 0, 3, 0, 1, 2, 3, 0, 3, 2, 2, 1, 4, 1, 2, 1, 1, 3, 1, 3, 3, 0, 4, 3, 0, 1, 3, 2, 3, 4, 0, 4, 3, 1, 1, 3, 0, 1, 0, 4, 0, 2, 0, 2, 0, 0, 3, 3, 1, 1, 2, 4, 4, 3, 1, 3, 3, 4, 1, 0, 4, 0, 4, 2, 0, 1, 4, 4, 0, 4, 4, 4, 2, 0, 0, 2, 3, 0, 3, 1, 1, 0, 0, 0, 4, 2, 4, 1, 0, 0, 4, 1, 1, 0, 2, 4, 2, 1, 4, 0, 4, 2, 3, 0, 4, 3, 1, 2, 4, 1, 2, 3, 2, 1, 1, 0, 3, 1, 2, 4, 2, 2, 1, 2, 3, 0, 1, 3, 4, 3, 2, 3, 0, 4, 4, 0, 4, 2, 1, 0, 2, 0, 1, 1, 0, 4, 4, 3, 4, 4, 3, 2, 1, 0, 4, 0, 0, 0, 0, 3, 1, 4, 3, 4, 3, 3, 2, 2, 2, 1, 0, 4, 1, 4, 1, 3, 2, 4, 1, 3, 3, 4, 2, 2, 4, 1, 2, 2]
pubkeycol1561 = [3, 4, 3, 3, 1, 2, 2, 1, 2, 4, 0, 4, 0, 1, 4, 0, 4, 0, 4, 0, 0, 3, 3, 1, 2, 3, 0, 1, 4, 3, 4, 3, 1, 0, 2, 0, 3, 0, 0, 2, 2, 3, 0, 2, 0, 4, 1, 0, 3, 0, 0, 3, 1, 1, 0, 4, 1, 0, 0, 4, 2, 2, 1, 2, 0, 1, 1, 2, 3, 4, 2, 0, 4, 3, 2, 3, 1, 1, 0, 1, 4, 3, 2, 2, 0, 3, 3, 3, 1, 2, 2, 1, 0, 3, 3, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 3, 3, 0, 1, 1, 2, 4, 1, 0, 1, 4, 2, 0, 1, 2, 3, 4, 0, 4, 0, 2, 1, 1, 4, 4, 1, 3, 4, 0, 4, 2, 0, 4, 2, 3, 2, 4, 4, 1, 0, 1, 1, 3, 0, 1, 0, 3, 3, 1, 1, 3, 3, 2, 1, 2, 2, 2, 4, 0, 0, 3, 2, 2, 0, 2, 3, 4, 0, 0, 1, 1, 0, 1, 0, 1, 3, 3, 0, 3, 2, 2, 3, 4, 2, 0, 2, 2, 0, 3, 0, 1, 3, 3, 1, 0, 1, 3, 3, 1, 4, 3, 1, 0, 4, 2, 1, 0, 2, 4, 0, 3, 1, 1, 0, 0, 1, 4, 0, 0, 3, 4, 4, 1, 4, 4, 4, 3, 0, 4, 3, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 3, 0, 3, 2, 3, 0, 4, 4, 0, 0, 1, 0, 2, 2, 3, 0, 1, 3, 2, 2, 3, 3, 2, 0, 2, 3, 0, 0, 3, 1, 0, 1, 2, 3, 2, 4, 1, 3, 1, 4, 1, 3, 2, 1, 2, 4, 2, 0, 0, 4, 2, 4, 4, 0, 3, 1, 4, 4, 0, 3, 1, 4, 2, 0, 1, 3, 3, 4, 0, 4, 4, 1, 1, 2, 4, 1, 0, 3, 2, 4, 0, 0, 4, 2, 3, 4, 3, 2, 0, 4, 1, 3, 3, 2, 1, 2, 2, 4, 1, 0, 4, 1, 3, 3, 4, 2, 1, 3, 4, 2, 3, 4, 0, 1, 2, 3, 0, 2, 4, 1, 4, 1, 2, 1, 4, 4, 4, 0, 4, 1, 3, 0, 2, 4, 1, 2, 0, 0, 1, 0, 4, 3, 0, 2, 0, 0, 0, 1, 0, 1, 3]
pubkeycol1562 = [1, 2, 2, 4, 2, 4, 0, 3, 4, 4, 0, 3, 3, 2, 2, 4, 1, 4, 0, 2, 4, 0, 1, 1, 4, 1, 4, 4, 2, 1, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 1, 2, 2, 3, 3, 3, 4, 2, 0, 2, 4, 4, 3, 3, 0, 2, 3, 1, 1, 2, 0, 0, 3, 2, 4, 3, 1, 2, 4, 3, 1, 0, 0, 0, 1, 2, 0, 4, 2, 2, 2, 4, 3, 2, 4, 2, 3, 3, 0, 2, 2, 3, 3, 3, 4, 3, 0, 4, 2, 1, 1, 1, 3, 3, 0, 2, 4, 0, 4, 0, 3, 0, 2, 3, 3, 2, 4, 2, 1, 1, 4, 4, 0, 3, 1, 2, 2, 3, 3, 0, 4, 3, 4, 2, 2, 0, 1, 2, 3, 4, 2, 1, 1, 3, 3, 0, 2, 1, 3, 4, 3, 4, 0, 3, 1, 1, 1, 2, 4, 0, 0, 2, 3, 3, 3, 4, 2, 2, 2, 4, 0, 3, 2, 0, 0, 2, 0, 4, 4, 1, 0, 3, 1, 4, 2, 3, 2, 0, 1, 2, 4, 4, 1, 4, 1, 3, 4, 1, 0, 2, 3, 2, 4, 1, 2, 4, 3, 1, 0, 0, 1, 4, 0, 2, 3, 1, 1, 2, 2, 1, 4, 3, 0, 4, 4, 1, 2, 4, 0, 1, 0, 4, 4, 0, 0, 1, 3, 2, 0, 0, 0, 4, 3, 3, 3, 4, 0, 1, 3, 0, 3, 3, 3, 0, 1, 3, 2, 2, 1, 3, 0, 2, 2, 2, 0, 1, 3, 3, 0, 4, 4, 2, 2, 3, 1, 0, 2, 3, 1, 1, 3, 0, 0, 3, 1, 2, 1, 2, 1, 0, 3, 3, 3, 4, 1, 1, 1, 2, 4, 4, 4, 4, 0, 3, 3, 3, 1, 0, 3, 3, 4, 2, 4, 3, 4, 3, 1, 0, 4, 3, 1, 4, 2, 2, 3, 1, 1, 0, 2, 3, 2, 3, 0, 0, 2, 0, 4, 3, 2, 3, 4, 0, 0, 1, 4, 4, 4, 3, 1, 2, 4, 3, 1, 3, 2, 1, 0, 1, 4, 3, 4, 1, 0, 3, 0, 3, 3, 1, 0, 4, 0, 4, 2, 4, 1, 3, 0, 3, 2, 4, 4, 4, 4, 2, 0, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 4, 0, 4, 0]
pubkeycol1563 = [1, 1, 4, 2, 3, 2, 2, 4, 0, 1, 2, 3, 2, 1, 1, 0, 2, 2, 3, 2, 2, 4, 0, 2, 1, 2, 1, 2, 4, 3, 1, 0, 0, 3, 4, 0, 1, 0, 2, 2, 3, 3, 0, 1, 3, 0, 1, 3, 2, 4, 2, 1, 4, 0, 2, 3, 3, 0, 2, 1, 4, 2, 4, 0, 0, 2, 1, 1, 4, 4, 0, 1, 0, 4, 4, 0, 1, 4, 3, 1, 2, 4, 4, 1, 4, 3, 2, 0, 3, 2, 2, 1, 2, 4, 2, 3, 4, 0, 1, 3, 4, 3, 2, 4, 1, 1, 0, 3, 4, 4, 2, 4, 1, 0, 3, 1, 0, 4, 4, 1, 3, 3, 4, 3, 3, 0, 3, 3, 0, 1, 3, 3, 0, 3, 0, 1, 2, 3, 0, 4, 1, 3, 4, 2, 4, 1, 0, 2, 3, 1, 4, 2, 1, 4, 1, 0, 0, 0, 0, 3, 0, 1, 2, 2, 4, 1, 4, 3, 0, 4, 0, 0, 2, 1, 1, 2, 4, 0, 1, 3, 2, 3, 2, 1, 4, 1, 2, 3, 4, 2, 0, 2, 1, 4, 3, 2, 2, 2, 3, 2, 4, 4, 3, 1, 1, 2, 2, 3, 0, 0, 1, 3, 2, 4, 1, 3, 1, 0, 0, 1, 1, 3, 3, 3, 2, 0, 0, 4, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 3, 2, 1, 0, 2, 0, 3, 2, 3, 0, 0, 2, 3, 2, 4, 3, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 0, 3, 4, 2, 4, 1, 0, 0, 4, 1, 1, 3, 3, 2, 4, 0, 2, 4, 3, 2, 4, 2, 1, 1, 1, 3, 2, 2, 4, 4, 3, 1, 2, 0, 4, 3, 1, 1, 0, 2, 4, 2, 0, 3, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 4, 0, 1, 1, 4, 1, 0, 1, 2, 0, 3, 2, 4, 4, 1, 0, 4, 1, 4, 0, 0, 4, 2, 4, 1, 3, 3, 2, 0, 2, 0, 4, 2, 3, 2, 0, 3, 0, 1, 4, 0, 3, 4, 0, 0, 4, 4, 4, 3, 1, 1, 2, 4, 3, 1, 1, 4, 1, 3, 3, 4, 4, 1, 4, 4, 0, 3, 2, 0, 0, 1, 1, 1, 4, 3, 2, 2, 0, 3, 0, 0]
pubkeycol1564 = [3, 0, 3, 1, 1, 0, 0, 0, 3, 3, 3, 1, 1, 2, 1, 4, 4, 4, 4, 4, 2, 4, 0, 4, 0, 1, 3, 0, 3, 1, 2, 4, 1, 0, 4, 0, 1, 1, 3, 4, 2, 3, 3, 2, 0, 4, 2, 4, 3, 3, 0, 0, 0, 4, 3, 2, 3, 2, 3, 4, 1, 0, 1, 2, 1, 3, 3, 3, 2, 2, 1, 3, 1, 3, 4, 0, 2, 3, 0, 3, 3, 1, 4, 1, 3, 2, 2, 1, 1, 0, 2, 1, 4, 0, 3, 3, 1, 0, 4, 4, 2, 0, 3, 3, 2, 3, 3, 2, 1, 1, 3, 1, 2, 0, 3, 1, 3, 0, 0, 0, 3, 4, 3, 3, 1, 2, 3, 4, 2, 3, 2, 4, 2, 0, 0, 4, 3, 0, 4, 1, 4, 4, 0, 2, 3, 0, 3, 2, 4, 4, 3, 1, 0, 1, 0, 0, 1, 0, 3, 2, 0, 2, 3, 4, 0, 0, 3, 3, 2, 1, 2, 2, 1, 0, 1, 4, 0, 4, 4, 1, 1, 4, 0, 2, 4, 1, 4, 0, 3, 0, 0, 2, 2, 2, 3, 3, 3, 3, 4, 0, 0, 1, 0, 1, 4, 3, 0, 4, 2, 1, 4, 1, 1, 2, 1, 0, 2, 3, 4, 2, 3, 0, 1, 0, 3, 2, 0, 1, 4, 0, 1, 3, 1, 2, 0, 0, 0, 2, 1, 1, 1, 4, 3, 3, 3, 4, 2, 1, 1, 3, 0, 2, 4, 3, 1, 0, 0, 4, 2, 4, 0, 3, 1, 2, 4, 2, 4, 1, 0, 2, 0, 0, 0, 2, 0, 1, 4, 4, 0, 1, 1, 1, 4, 0, 3, 4, 4, 3, 3, 4, 0, 2, 4, 1, 3, 1, 4, 3, 4, 2, 3, 3, 4, 0, 2, 2, 3, 1, 3, 2, 3, 0, 3, 0, 4, 0, 3, 0, 4, 3, 0, 2, 4, 0, 1, 3, 1, 3, 2, 3, 3, 3, 4, 1, 4, 2, 0, 3, 2, 4, 4, 1, 4, 0, 4, 2, 4, 3, 2, 4, 4, 0, 1, 1, 2, 4, 0, 4, 3, 4, 3, 4, 0, 4, 4, 0, 2, 3, 4, 2, 4, 2, 0, 1, 0, 3, 4, 0, 1, 0, 2, 3, 4, 2, 2, 0, 0, 4, 3, 4, 2, 4, 4, 1, 4, 0, 3, 4, 4, 4]
pubkeycol1565 = [0, 3, 2, 0, 0, 2, 4, 3, 4, 3, 3, 2, 1, 2, 1, 3, 1, 1, 2, 1, 2, 0, 3, 3, 4, 3, 1, 3, 0, 3, 0, 1, 0, 0, 3, 2, 3, 0, 1, 0, 4, 3, 2, 0, 4, 3, 3, 0, 0, 1, 1, 4, 4, 0, 1, 4, 4, 2, 3, 1, 2, 0, 1, 0, 1, 4, 1, 2, 2, 2, 1, 3, 2, 2, 4, 4, 1, 0, 2, 2, 4, 4, 2, 0, 0, 3, 4, 4, 4, 0, 2, 0, 3, 3, 1, 1, 1, 2, 3, 1, 4, 4, 0, 0, 3, 1, 0, 1, 4, 2, 3, 4, 2, 2, 0, 4, 4, 4, 4, 3, 4, 0, 2, 2, 0, 2, 1, 2, 2, 4, 4, 0, 0, 3, 4, 2, 2, 0, 0, 0, 3, 4, 4, 4, 0, 3, 2, 4, 0, 2, 2, 1, 0, 4, 4, 4, 0, 2, 3, 4, 4, 1, 3, 3, 2, 2, 1, 0, 3, 1, 1, 1, 0, 3, 1, 3, 0, 2, 2, 2, 2, 2, 0, 4, 1, 1, 2, 3, 4, 4, 3, 1, 4, 0, 0, 4, 1, 1, 4, 0, 4, 2, 4, 4, 2, 0, 2, 3, 3, 0, 0, 3, 2, 1, 1, 2, 2, 4, 3, 3, 3, 4, 3, 0, 4, 2, 3, 0, 3, 0, 4, 3, 2, 2, 3, 3, 0, 3, 4, 3, 2, 0, 3, 2, 3, 1, 3, 0, 4, 3, 0, 2, 2, 4, 4, 1, 2, 3, 4, 3, 3, 3, 4, 0, 4, 4, 4, 4, 2, 1, 4, 2, 0, 4, 3, 3, 1, 2, 1, 0, 2, 1, 4, 1, 0, 3, 2, 3, 4, 1, 1, 4, 0, 4, 4, 0, 1, 0, 3, 1, 1, 1, 0, 2, 1, 1, 2, 1, 4, 0, 2, 3, 4, 4, 1, 4, 3, 2, 0, 4, 1, 2, 3, 3, 2, 0, 3, 2, 2, 4, 3, 4, 1, 4, 3, 1, 3, 4, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 3, 1, 4, 1, 1, 1, 0, 1, 3, 3, 1, 4, 2, 3, 1, 3, 3, 3, 2, 0, 3, 2, 4, 4, 4, 2, 0, 0, 1, 1, 4, 1, 0, 2, 2, 4, 4, 2, 1, 0, 4, 3, 1, 4, 1, 3, 0, 2, 0, 2]
pubkeycol1566 = [3, 1, 4, 1, 2, 4, 2, 1, 1, 0, 0, 4, 1, 4, 0, 2, 0, 4, 1, 1, 2, 2, 4, 4, 3, 1, 4, 4, 1, 2, 3, 3, 4, 3, 3, 2, 2, 4, 1, 2, 2, 1, 0, 1, 1, 0, 4, 3, 1, 2, 3, 2, 2, 3, 4, 0, 4, 1, 3, 4, 0, 1, 1, 0, 3, 3, 4, 2, 4, 3, 0, 3, 2, 3, 4, 4, 0, 1, 4, 0, 4, 1, 2, 2, 3, 2, 1, 4, 4, 3, 4, 1, 0, 1, 4, 0, 2, 4, 4, 4, 3, 2, 2, 4, 0, 2, 1, 0, 4, 0, 2, 4, 2, 0, 2, 3, 2, 0, 1, 2, 4, 1, 3, 2, 2, 0, 2, 0, 1, 4, 4, 4, 0, 2, 1, 1, 4, 3, 1, 4, 1, 1, 0, 3, 0, 2, 1, 1, 4, 1, 1, 2, 3, 1, 4, 0, 4, 4, 0, 3, 4, 4, 0, 2, 3, 4, 2, 4, 0, 4, 2, 1, 3, 0, 2, 4, 3, 3, 3, 1, 3, 4, 1, 3, 2, 1, 1, 0, 3, 0, 1, 3, 0, 4, 4, 0, 3, 4, 2, 3, 4, 3, 2, 4, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 4, 2, 0, 1, 0, 2, 0, 3, 4, 4, 2, 1, 3, 3, 4, 0, 1, 0, 2, 2, 1, 0, 1, 2, 4, 4, 3, 0, 1, 2, 4, 2, 1, 4, 4, 3, 2, 0, 1, 3, 2, 2, 1, 1, 2, 1, 1, 3, 1, 3, 0, 0, 3, 2, 4, 0, 1, 1, 1, 4, 1, 1, 3, 4, 4, 0, 1, 2, 3, 4, 0, 1, 0, 2, 1, 2, 3, 0, 3, 2, 4, 4, 2, 2, 4, 0, 4, 2, 0, 3, 3, 0, 2, 0, 4, 2, 3, 1, 2, 4, 4, 1, 2, 3, 0, 0, 0, 1, 3, 2, 3, 2, 2, 2, 0, 2, 0, 4, 0, 1, 2, 4, 1, 3, 1, 0, 2, 1, 1, 4, 3, 2, 3, 4, 2, 1, 4, 2, 2, 4, 4, 3, 2, 0, 3, 2, 4, 1, 1, 1, 2, 2, 0, 0, 2, 3, 2, 3, 0, 0, 3, 4, 4, 3, 4, 2, 2, 1, 2, 1, 4, 4, 4, 4, 4, 2, 1, 4, 2, 2, 3, 4, 4, 0, 0]
pubkeycol1567 = [0, 2, 1, 0, 2, 2, 3, 4, 3, 1, 0, 4, 4, 0, 4, 3, 1, 0, 3, 2, 0, 4, 3, 2, 2, 3, 2, 0, 0, 4, 4, 3, 2, 1, 3, 4, 4, 3, 4, 3, 1, 4, 4, 1, 4, 1, 1, 2, 2, 4, 1, 4, 3, 1, 1, 3, 1, 0, 0, 4, 4, 3, 3, 1, 4, 2, 3, 2, 2, 3, 0, 1, 1, 0, 2, 1, 1, 0, 3, 4, 0, 1, 4, 3, 4, 0, 4, 2, 2, 0, 4, 1, 1, 3, 2, 3, 4, 0, 2, 2, 4, 2, 3, 3, 4, 4, 3, 0, 2, 4, 0, 3, 1, 4, 4, 0, 1, 1, 0, 1, 2, 4, 2, 4, 4, 3, 3, 3, 3, 1, 2, 3, 4, 4, 4, 1, 2, 3, 4, 4, 0, 4, 2, 1, 0, 3, 0, 3, 4, 4, 2, 2, 3, 4, 0, 3, 0, 2, 4, 0, 1, 1, 2, 1, 1, 3, 3, 0, 1, 2, 0, 1, 2, 2, 4, 0, 3, 1, 4, 0, 1, 4, 4, 1, 1, 3, 3, 1, 3, 0, 2, 2, 3, 4, 3, 3, 3, 3, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 3, 4, 0, 3, 1, 1, 3, 1, 3, 1, 0, 0, 1, 1, 3, 0, 1, 0, 2, 0, 3, 2, 0, 2, 0, 0, 4, 3, 0, 2, 2, 4, 2, 4, 4, 2, 1, 2, 3, 4, 1, 3, 2, 4, 3, 1, 1, 4, 0, 4, 2, 1, 1, 1, 1, 3, 3, 4, 2, 4, 4, 1, 1, 1, 4, 0, 3, 0, 0, 3, 4, 4, 0, 2, 3, 2, 0, 4, 2, 3, 4, 0, 0, 3, 3, 0, 4, 0, 3, 1, 2, 1, 1, 2, 2, 3, 2, 4, 1, 0, 4, 3, 1, 4, 0, 0, 1, 1, 3, 1, 4, 4, 1, 3, 1, 2, 0, 2, 2, 3, 3, 3, 3, 4, 2, 2, 2, 4, 1, 4, 2, 3, 4, 0, 4, 3, 4, 3, 4, 2, 2, 2, 4, 0, 1, 1, 2, 4, 0, 2, 2, 3, 4, 1, 3, 3, 0, 0, 3, 1, 3, 4, 4, 4, 4, 1, 2, 4, 1, 4, 1, 4, 4, 1, 0, 0, 0, 1, 2, 4, 1, 0, 4, 0, 3, 2, 3, 0]
pubkeycol1568 = [4, 2, 2, 4, 3, 2, 3, 2, 4, 4, 0, 4, 3, 0, 2, 4, 4, 1, 4, 2, 0, 0, 1, 0, 4, 2, 1, 1, 2, 2, 1, 4, 3, 4, 2, 3, 3, 2, 3, 2, 3, 0, 2, 3, 4, 1, 1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 3, 3, 1, 2, 0, 1, 4, 2, 3, 2, 0, 4, 3, 4, 3, 3, 2, 4, 1, 4, 3, 2, 4, 2, 4, 4, 1, 2, 1, 2, 2, 1, 2, 1, 4, 1, 0, 2, 2, 1, 1, 0, 1, 4, 4, 1, 0, 2, 1, 3, 2, 3, 3, 4, 0, 0, 2, 2, 2, 1, 1, 3, 3, 0, 3, 0, 4, 0, 4, 1, 4, 2, 4, 2, 3, 4, 1, 1, 4, 0, 2, 1, 1, 4, 3, 1, 1, 1, 3, 4, 3, 1, 1, 3, 0, 0, 0, 0, 3, 4, 1, 1, 4, 2, 1, 3, 1, 1, 1, 3, 0, 2, 0, 0, 1, 4, 2, 0, 0, 3, 1, 4, 3, 3, 4, 2, 0, 0, 4, 1, 0, 4, 3, 2, 2, 3, 1, 0, 4, 2, 4, 0, 4, 1, 2, 1, 0, 1, 4, 3, 0, 4, 3, 2, 4, 4, 3, 3, 4, 0, 3, 1, 3, 2, 1, 4, 2, 2, 0, 4, 3, 4, 4, 4, 1, 0, 1, 2, 4, 4, 1, 4, 4, 3, 4, 4, 3, 2, 2, 2, 4, 0, 0, 3, 3, 0, 0, 2, 0, 2, 2, 3, 3, 3, 3, 4, 4, 0, 3, 1, 4, 2, 3, 1, 3, 3, 2, 0, 1, 3, 3, 0, 2, 0, 2, 4, 4, 4, 1, 1, 4, 4, 3, 1, 0, 0, 2, 4, 2, 1, 4, 4, 4, 3, 1, 2, 1, 0, 0, 0, 2, 4, 2, 1, 1, 4, 4, 1, 1, 0, 2, 0, 2, 1, 2, 0, 3, 0, 3, 0, 2, 3, 2, 0, 1, 2, 2, 0, 2, 2, 2, 4, 2, 2, 2, 3, 4, 2, 0, 3, 1, 0, 0, 4, 4, 0, 4, 2, 2, 3, 4, 4, 1, 1, 0, 2, 3, 0, 3, 1, 2, 0, 1, 2, 4, 2, 1, 4, 2, 4, 0, 2, 4, 0, 0, 2, 4, 2, 4, 3, 3, 1, 3, 4, 4, 1, 2, 2, 3]
pubkeycol1569 = [3, 1, 0, 3, 3, 2, 1, 2, 4, 0, 0, 3, 2, 1, 1, 1, 2, 4, 4, 3, 2, 3, 4, 0, 4, 3, 1, 2, 4, 3, 4, 2, 0, 3, 3, 3, 1, 2, 1, 0, 0, 4, 1, 4, 3, 2, 1, 3, 0, 0, 3, 3, 4, 3, 0, 2, 2, 4, 0, 2, 1, 1, 1, 4, 1, 2, 0, 1, 3, 3, 0, 0, 2, 2, 4, 4, 1, 0, 3, 1, 2, 3, 3, 2, 0, 2, 2, 3, 4, 2, 2, 3, 4, 4, 2, 1, 0, 3, 3, 2, 3, 3, 2, 3, 3, 1, 0, 4, 2, 1, 1, 3, 3, 0, 0, 4, 2, 3, 0, 2, 1, 3, 4, 4, 4, 1, 2, 4, 4, 4, 0, 4, 0, 2, 1, 4, 0, 1, 2, 0, 4, 1, 4, 4, 0, 1, 2, 2, 2, 1, 0, 4, 4, 4, 0, 4, 0, 1, 1, 4, 3, 1, 0, 4, 3, 1, 0, 1, 3, 0, 1, 4, 1, 4, 0, 1, 3, 1, 4, 3, 1, 4, 3, 0, 4, 1, 2, 2, 2, 2, 3, 3, 3, 1, 4, 1, 0, 3, 3, 2, 3, 4, 0, 4, 1, 2, 0, 3, 1, 2, 3, 3, 0, 0, 2, 3, 3, 3, 4, 3, 3, 0, 2, 2, 0, 2, 2, 4, 3, 0, 2, 0, 0, 3, 4, 1, 1, 4, 0, 4, 3, 3, 4, 3, 4, 0, 2, 3, 4, 3, 4, 3, 1, 2, 1, 4, 4, 1, 1, 4, 3, 4, 4, 1, 2, 3, 2, 0, 1, 0, 0, 3, 3, 1, 1, 1, 1, 0, 4, 2, 0, 4, 4, 0, 2, 1, 1, 2, 4, 0, 4, 0, 2, 4, 2, 1, 2, 4, 0, 0, 0, 1, 1, 3, 4, 1, 2, 3, 4, 4, 2, 3, 1, 1, 2, 4, 2, 1, 4, 3, 4, 4, 1, 2, 3, 4, 3, 1, 3, 0, 4, 0, 4, 3, 2, 4, 1, 4, 2, 4, 0, 1, 3, 3, 1, 3, 0, 2, 1, 3, 0, 4, 4, 1, 0, 0, 4, 2, 4, 0, 1, 0, 4, 2, 2, 4, 2, 1, 3, 3, 4, 2, 2, 3, 2, 2, 2, 0, 0, 2, 4, 4, 3, 2, 4, 2, 3, 3, 1, 3, 3, 0, 0, 0, 3, 2, 1, 4, 3, 3]
pubkeycol1570 = [0, 0, 4, 3, 2, 3, 1, 1, 1, 4, 1, 2, 4, 4, 0, 1, 1, 2, 2, 2, 2, 3, 3, 0, 3, 0, 0, 4, 0, 3, 3, 0, 1, 1, 1, 3, 0, 2, 2, 0, 1, 3, 1, 0, 0, 2, 3, 2, 4, 0, 2, 0, 4, 1, 1, 3, 0, 3, 3, 1, 2, 0, 0, 4, 2, 4, 4, 0, 0, 2, 1, 2, 0, 3, 1, 1, 0, 2, 4, 3, 1, 0, 4, 1, 3, 1, 3, 2, 0, 3, 1, 4, 3, 4, 2, 2, 0, 1, 2, 0, 4, 2, 3, 0, 4, 1, 0, 4, 2, 3, 1, 1, 4, 0, 4, 3, 1, 4, 4, 2, 0, 0, 2, 3, 4, 0, 3, 2, 4, 0, 3, 2, 4, 2, 2, 3, 3, 1, 2, 2, 0, 0, 3, 2, 0, 2, 4, 1, 2, 2, 3, 0, 4, 1, 1, 3, 0, 1, 0, 4, 2, 0, 0, 3, 1, 1, 0, 3, 1, 0, 2, 3, 4, 1, 2, 0, 2, 3, 4, 4, 4, 2, 4, 1, 1, 0, 0, 0, 2, 1, 4, 4, 4, 2, 0, 4, 3, 2, 3, 4, 4, 2, 1, 2, 0, 0, 4, 4, 3, 0, 4, 2, 0, 4, 3, 1, 2, 4, 3, 4, 1, 4, 3, 0, 4, 2, 4, 0, 3, 2, 1, 4, 0, 2, 2, 0, 0, 0, 2, 3, 4, 0, 4, 0, 1, 4, 0, 0, 3, 2, 2, 1, 4, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 4, 2, 3, 4, 0, 3, 0, 4, 0, 2, 1, 3, 2, 3, 2, 3, 1, 1, 3, 4, 2, 3, 0, 0, 2, 0, 4, 4, 4, 1, 4, 1, 4, 4, 2, 2, 4, 0, 3, 1, 3, 3, 4, 1, 0, 1, 2, 0, 1, 3, 4, 2, 2, 4, 0, 3, 2, 1, 1, 4, 0, 1, 1, 0, 2, 2, 0, 1, 3, 4, 1, 1, 3, 2, 2, 3, 3, 3, 4, 2, 0, 0, 0, 0, 0, 0, 3, 2, 1, 3, 3, 3, 2, 1, 2, 3, 0, 2, 3, 1, 3, 4, 1, 0, 2, 4, 1, 1, 1, 2, 4, 1, 1, 2, 0, 2, 2, 1, 0, 0, 4, 3, 3, 3, 0, 1, 0, 1, 3, 2, 0, 3, 1, 3, 3, 1]
pubkeycol1571 = [1, 3, 1, 0, 4, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 4, 0, 3, 0, 3, 3, 4, 3, 2, 2, 0, 3, 4, 2, 0, 3, 1, 0, 2, 0, 3, 2, 3, 1, 4, 3, 2, 4, 1, 1, 2, 2, 4, 2, 2, 3, 2, 1, 3, 1, 1, 2, 1, 4, 1, 0, 4, 2, 3, 0, 2, 3, 1, 3, 1, 2, 1, 0, 0, 1, 3, 1, 2, 4, 4, 2, 2, 1, 4, 3, 0, 3, 3, 0, 2, 3, 2, 1, 4, 3, 4, 2, 1, 2, 0, 2, 1, 1, 2, 4, 4, 4, 2, 2, 0, 0, 4, 1, 3, 2, 2, 0, 0, 4, 0, 1, 4, 2, 2, 1, 4, 4, 4, 3, 2, 2, 2, 3, 3, 2, 0, 2, 3, 0, 1, 0, 3, 0, 0, 4, 1, 4, 4, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 4, 0, 0, 2, 4, 4, 0, 2, 2, 4, 1, 0, 4, 4, 0, 0, 2, 2, 3, 4, 2, 3, 4, 0, 3, 3, 1, 1, 4, 3, 3, 0, 3, 4, 0, 1, 2, 1, 3, 2, 2, 2, 0, 0, 2, 0, 3, 0, 0, 0, 2, 3, 3, 1, 1, 4, 2, 0, 0, 4, 0, 1, 2, 2, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, 1, 4, 4, 1, 3, 2, 4, 3, 3, 2, 2, 4, 4, 0, 0, 3, 3, 4, 1, 4, 2, 1, 0, 2, 3, 2, 3, 3, 2, 0, 3, 0, 0, 2, 3, 4, 1, 1, 3, 1, 0, 3, 3, 0, 0, 2, 1, 3, 2, 4, 1, 1, 4, 4, 0, 1, 0, 1, 3, 1, 0, 0, 1, 4, 2, 2, 3, 0, 1, 4, 0, 3, 0, 1, 2, 1, 0, 0, 1, 2, 4, 2, 4, 1, 1, 4, 0, 4, 4, 0, 3, 2, 4, 2, 2, 4, 2, 0, 0, 0, 1, 1, 4, 3, 1, 2, 4, 2, 2, 3, 2, 2, 4, 1, 2, 0, 2, 4, 0, 1, 4, 3, 2, 1, 0, 1, 3, 4, 0, 2, 4, 3, 4, 3, 1, 3, 3, 1, 2, 2, 2, 4, 0, 0, 4, 0, 2, 1, 1, 2, 3, 1, 0, 4, 4, 0, 4, 3, 2, 4, 4, 4, 4, 3, 4]
pubkeycol1572 = [0, 2, 0, 0, 3, 0, 4, 4, 1, 0, 1, 4, 1, 0, 3, 4, 0, 4, 3, 0, 3, 1, 2, 3, 3, 4, 1, 2, 4, 4, 4, 4, 2, 2, 4, 3, 2, 2, 2, 2, 0, 0, 4, 2, 2, 0, 1, 4, 3, 4, 3, 2, 0, 3, 3, 1, 2, 1, 2, 0, 1, 2, 0, 2, 4, 0, 2, 0, 2, 3, 2, 0, 4, 1, 1, 2, 1, 0, 4, 4, 2, 3, 1, 3, 1, 2, 3, 1, 3, 2, 0, 2, 2, 3, 0, 4, 4, 4, 2, 2, 4, 4, 1, 2, 0, 4, 4, 4, 0, 1, 0, 4, 4, 1, 3, 0, 4, 2, 2, 0, 0, 2, 3, 3, 0, 0, 4, 0, 2, 0, 3, 1, 2, 1, 4, 3, 2, 4, 3, 4, 4, 0, 2, 0, 2, 0, 0, 0, 3, 3, 2, 4, 3, 1, 0, 4, 3, 0, 3, 3, 4, 4, 0, 3, 2, 1, 0, 3, 1, 4, 2, 0, 3, 4, 3, 2, 4, 1, 1, 1, 2, 2, 4, 0, 1, 3, 3, 2, 0, 2, 4, 3, 2, 3, 0, 0, 2, 1, 2, 1, 4, 4, 3, 0, 0, 2, 2, 3, 0, 0, 1, 0, 2, 1, 1, 1, 2, 3, 2, 2, 1, 4, 1, 0, 1, 3, 0, 2, 3, 2, 1, 0, 2, 0, 2, 2, 1, 2, 3, 0, 4, 1, 4, 0, 4, 0, 0, 2, 4, 4, 4, 1, 4, 2, 0, 4, 1, 1, 1, 3, 1, 1, 1, 3, 4, 1, 1, 4, 1, 2, 0, 4, 4, 4, 3, 3, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 3, 0, 0, 1, 3, 3, 0, 0, 0, 3, 3, 4, 1, 4, 2, 2, 2, 3, 3, 4, 3, 0, 2, 1, 4, 1, 2, 2, 4, 4, 2, 1, 4, 4, 1, 1, 4, 4, 2, 3, 4, 2, 0, 1, 0, 3, 2, 0, 0, 0, 1, 0, 0, 1, 3, 2, 2, 2, 4, 0, 0, 0, 3, 1, 2, 3, 4, 1, 0, 4, 1, 1, 2, 2, 2, 3, 2, 4, 3, 2, 2, 3, 4, 3, 2, 3, 1, 4, 2, 2, 4, 3, 1, 3, 3, 0, 3, 0, 2, 3, 0, 2, 1, 0, 4, 1, 3, 2, 1, 0, 1, 2, 4, 3]
pubkeycol1573 = [1, 0, 0, 1, 1, 2, 0, 4, 1, 1, 4, 3, 4, 3, 1, 1, 2, 3, 2, 4, 2, 1, 4, 2, 4, 0, 2, 2, 0, 4, 4, 4, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 4, 0, 4, 3, 0, 1, 4, 0, 4, 4, 4, 3, 4, 0, 1, 4, 2, 0, 2, 4, 4, 2, 3, 4, 0, 3, 1, 0, 3, 4, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 2, 2, 1, 0, 0, 2, 4, 0, 2, 0, 3, 3, 2, 4, 3, 3, 2, 4, 4, 0, 2, 2, 4, 3, 0, 1, 3, 2, 3, 3, 1, 4, 1, 0, 3, 4, 1, 4, 3, 0, 3, 3, 3, 2, 1, 4, 4, 2, 2, 1, 1, 3, 0, 3, 1, 2, 3, 1, 4, 4, 4, 4, 1, 1, 3, 4, 2, 2, 3, 0, 1, 4, 3, 2, 0, 2, 2, 0, 4, 0, 1, 0, 4, 4, 4, 0, 3, 2, 3, 1, 0, 4, 2, 0, 2, 4, 0, 3, 1, 4, 1, 0, 0, 4, 3, 3, 0, 2, 0, 2, 0, 3, 4, 2, 1, 2, 2, 0, 2, 0, 2, 4, 4, 3, 3, 0, 0, 1, 3, 1, 4, 2, 1, 2, 0, 4, 0, 2, 3, 4, 0, 0, 0, 4, 0, 2, 1, 4, 1, 3, 4, 2, 3, 1, 0, 4, 4, 4, 3, 4, 3, 2, 2, 3, 2, 0, 2, 0, 0, 1, 1, 2, 4, 1, 1, 3, 2, 0, 1, 4, 0, 4, 2, 1, 4, 3, 1, 4, 3, 3, 1, 3, 4, 0, 3, 2, 0, 1, 4, 1, 3, 2, 1, 3, 1, 0, 0, 1, 0, 3, 0, 2, 3, 1, 2, 2, 1, 2, 2, 3, 0, 0, 3, 1, 1, 1, 0, 3, 4, 3, 3, 0, 1, 1, 0, 3, 1, 1, 3, 1, 2, 1, 4, 0, 2, 0, 4, 0, 3, 4, 0, 4, 1, 3, 1, 4, 2, 1, 4, 1, 0, 2, 2, 1, 1, 3, 0, 2, 3, 4, 3, 3, 4, 3, 4, 4, 3, 1, 4, 2, 2, 3, 0, 0, 3, 3, 2, 4, 1, 2, 2, 1, 1, 4, 1, 1, 2, 4, 1, 1, 2, 0, 4, 0, 2, 2, 2, 3, 4, 1, 2, 4, 0, 2, 0, 3, 3]
pubkeycol1574 = [0, 1, 3, 0, 3, 4, 0, 3, 4, 2, 4, 3, 3, 2, 3, 2, 4, 3, 0, 2, 4, 3, 4, 3, 4, 4, 0, 0, 1, 0, 0, 0, 3, 4, 2, 4, 4, 1, 4, 1, 4, 4, 1, 3, 4, 3, 3, 4, 3, 1, 3, 0, 3, 3, 0, 0, 1, 2, 3, 0, 1, 3, 0, 3, 2, 3, 1, 1, 1, 4, 2, 2, 3, 1, 2, 0, 4, 2, 1, 0, 3, 2, 4, 0, 0, 2, 0, 2, 3, 1, 2, 3, 3, 2, 2, 0, 2, 3, 1, 3, 2, 4, 3, 4, 3, 2, 2, 2, 3, 0, 3, 3, 4, 1, 2, 3, 0, 4, 4, 2, 0, 0, 1, 1, 3, 1, 1, 4, 3, 1, 3, 0, 1, 3, 4, 0, 0, 3, 1, 0, 1, 0, 3, 0, 4, 4, 0, 4, 1, 4, 4, 3, 2, 0, 4, 3, 0, 3, 0, 0, 4, 1, 2, 1, 4, 4, 1, 3, 1, 1, 2, 1, 1, 3, 2, 1, 4, 2, 2, 0, 4, 2, 3, 4, 1, 1, 2, 1, 0, 4, 2, 3, 1, 0, 4, 1, 2, 2, 4, 4, 3, 2, 3, 3, 3, 4, 2, 4, 1, 2, 0, 1, 3, 0, 1, 1, 1, 3, 0, 4, 0, 3, 3, 1, 3, 3, 1, 2, 3, 3, 0, 3, 4, 4, 1, 1, 1, 0, 2, 0, 2, 3, 3, 1, 4, 1, 1, 4, 1, 2, 1, 4, 2, 1, 4, 0, 1, 1, 2, 4, 2, 0, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 3, 2, 1, 0, 1, 0, 2, 2, 3, 4, 3, 3, 2, 4, 4, 0, 3, 1, 3, 3, 1, 2, 2, 0, 1, 1, 4, 3, 4, 3, 4, 1, 1, 0, 1, 0, 3, 1, 4, 1, 1, 2, 0, 0, 1, 0, 2, 2, 4, 0, 3, 4, 0, 1, 1, 4, 1, 0, 3, 3, 2, 3, 2, 2, 2, 2, 4, 3, 2, 4, 3, 0, 2, 0, 2, 4, 0, 2, 4, 2, 4, 1, 0, 0, 4, 1, 0, 0, 0, 3, 3, 1, 3, 4, 1, 4, 0, 2, 2, 3, 1, 3, 4, 0, 1, 2, 0, 2, 3, 0, 1, 1, 0, 2, 2, 4, 1, 0, 0, 2, 4, 0, 3, 3, 1, 3, 3, 1]
pubkeycol1575 = [2, 0, 4, 4, 3, 4, 3, 0, 0, 2, 0, 3, 3, 1, 3, 0, 0, 4, 3, 2, 2, 4, 0, 1, 3, 3, 2, 2, 2, 4, 3, 4, 3, 0, 1, 1, 1, 4, 0, 4, 0, 4, 0, 4, 0, 2, 4, 2, 4, 3, 1, 1, 2, 3, 3, 2, 0, 0, 1, 2, 2, 3, 0, 4, 2, 4, 2, 0, 2, 0, 0, 3, 2, 0, 0, 0, 1, 4, 2, 2, 2, 0, 0, 4, 3, 2, 4, 2, 3, 2, 3, 4, 4, 4, 4, 3, 4, 1, 4, 0, 0, 1, 1, 2, 3, 1, 3, 2, 0, 0, 0, 3, 2, 2, 4, 1, 1, 1, 0, 3, 3, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 3, 1, 4, 3, 3, 0, 4, 0, 3, 4, 2, 4, 3, 2, 4, 4, 3, 0, 3, 1, 3, 4, 0, 2, 1, 1, 2, 0, 1, 3, 1, 0, 3, 3, 2, 1, 3, 4, 1, 1, 2, 0, 0, 0, 1, 3, 2, 4, 2, 3, 3, 2, 4, 3, 0, 2, 2, 3, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 3, 4, 1, 4, 3, 2, 2, 1, 0, 3, 1, 1, 2, 2, 2, 2, 2, 4, 3, 2, 3, 3, 2, 1, 0, 2, 4, 1, 4, 4, 2, 4, 4, 1, 0, 1, 1, 2, 0, 3, 2, 3, 4, 0, 2, 4, 0, 0, 4, 3, 2, 0, 3, 1, 4, 4, 4, 4, 2, 3, 2, 0, 2, 2, 2, 2, 2, 1, 4, 0, 3, 2, 1, 1, 4, 3, 3, 4, 0, 2, 4, 4, 3, 0, 0, 3, 2, 3, 3, 0, 2, 3, 4, 2, 3, 4, 3, 1, 0, 3, 2, 0, 0, 2, 1, 3, 4, 1, 3, 0, 0, 2, 0, 3, 2, 3, 4, 4, 4, 4, 2, 2, 0, 2, 3, 2, 3, 0, 4, 3, 2, 0, 0, 0, 1, 2, 0, 0, 0, 4, 1, 0, 0, 2, 2, 2, 3, 4, 1, 1, 0, 1, 1, 3, 3, 3, 0, 2, 1, 4, 0, 2, 3, 4, 4, 0, 3, 3, 3, 0, 1, 0, 1, 4, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 4, 2, 2, 0, 4, 2, 2, 4, 2, 4, 4, 1]
pubkeycol1576 = [0, 3, 0, 0, 0, 2, 4, 1, 2, 1, 3, 4, 2, 2, 4, 2, 2, 2, 2, 1, 0, 2, 2, 3, 3, 4, 3, 1, 3, 2, 1, 0, 3, 3, 2, 2, 0, 4, 2, 4, 3, 3, 1, 2, 0, 3, 1, 3, 3, 1, 4, 2, 3, 0, 0, 3, 3, 0, 0, 4, 3, 0, 1, 4, 4, 2, 3, 0, 4, 3, 0, 2, 0, 4, 1, 0, 0, 0, 0, 1, 3, 0, 3, 0, 4, 0, 3, 1, 2, 2, 2, 4, 4, 4, 1, 4, 2, 0, 1, 3, 3, 4, 0, 2, 0, 4, 0, 2, 1, 0, 2, 1, 3, 2, 0, 0, 0, 3, 2, 3, 1, 4, 0, 3, 4, 4, 3, 2, 4, 4, 2, 0, 3, 1, 2, 0, 1, 1, 1, 2, 2, 4, 3, 2, 0, 3, 4, 3, 3, 3, 3, 1, 2, 2, 4, 2, 1, 2, 1, 0, 0, 0, 2, 4, 3, 1, 4, 0, 0, 2, 0, 1, 2, 4, 0, 0, 0, 4, 3, 1, 1, 1, 4, 4, 3, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 3, 0, 3, 0, 3, 3, 4, 3, 2, 3, 2, 4, 0, 1, 1, 3, 4, 4, 2, 0, 2, 4, 2, 2, 2, 1, 0, 2, 2, 1, 3, 3, 0, 0, 4, 2, 1, 3, 2, 4, 4, 0, 2, 3, 4, 1, 2, 0, 2, 1, 3, 1, 1, 2, 1, 3, 2, 4, 4, 4, 4, 1, 2, 0, 2, 4, 0, 1, 0, 1, 3, 4, 0, 1, 1, 1, 2, 3, 0, 1, 4, 2, 4, 3, 1, 0, 3, 0, 1, 2, 1, 0, 0, 1, 3, 2, 3, 4, 1, 2, 1, 2, 1, 0, 2, 0, 4, 2, 2, 1, 2, 4, 0, 0, 4, 2, 4, 3, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 1, 0, 3, 4, 4, 1, 0, 1, 2, 1, 3, 1, 0, 1, 2, 4, 3, 2, 0, 0, 3, 4, 1, 2, 4, 4, 1, 0, 3, 0, 1, 4, 3, 4, 0, 4, 4, 3, 2, 1, 0, 3, 3, 0, 0, 4, 1, 0, 4, 0, 2, 2, 2, 0, 1, 2, 1, 3, 0, 2, 3, 3, 0, 4, 0, 1, 2, 0, 1, 4, 0, 3]
pubkeycol1577 = [1, 3, 0, 4, 1, 3, 3, 0, 0, 0, 4, 3, 0, 0, 1, 4, 0, 3, 1, 1, 4, 0, 2, 4, 4, 4, 4, 1, 2, 2, 0, 0, 1, 4, 0, 1, 0, 3, 0, 1, 3, 0, 0, 0, 3, 0, 3, 1, 1, 2, 4, 1, 1, 2, 1, 0, 2, 4, 1, 3, 4, 1, 4, 0, 1, 4, 2, 0, 0, 1, 0, 2, 2, 4, 2, 1, 3, 4, 0, 4, 3, 4, 4, 0, 0, 3, 1, 2, 0, 1, 3, 1, 4, 3, 2, 1, 3, 2, 1, 0, 1, 4, 0, 2, 1, 4, 4, 1, 1, 1, 4, 0, 2, 3, 4, 0, 0, 4, 1, 0, 2, 3, 0, 1, 2, 4, 1, 1, 1, 3, 0, 4, 3, 2, 3, 2, 2, 4, 3, 3, 0, 1, 0, 4, 3, 3, 1, 4, 1, 3, 0, 2, 4, 2, 0, 3, 2, 1, 1, 3, 3, 1, 3, 4, 0, 1, 2, 1, 1, 3, 1, 3, 4, 2, 3, 2, 1, 3, 0, 0, 1, 4, 0, 1, 4, 1, 2, 0, 3, 3, 2, 4, 4, 2, 4, 3, 3, 4, 3, 3, 0, 3, 3, 4, 0, 2, 3, 1, 1, 0, 2, 4, 2, 3, 3, 4, 1, 1, 3, 4, 4, 0, 2, 1, 1, 1, 4, 0, 1, 0, 0, 2, 0, 4, 2, 0, 2, 3, 2, 1, 4, 4, 0, 4, 3, 0, 4, 2, 1, 4, 3, 4, 1, 0, 0, 4, 4, 0, 0, 3, 1, 0, 0, 3, 2, 0, 4, 2, 0, 2, 0, 3, 2, 2, 4, 3, 4, 4, 1, 3, 4, 1, 0, 0, 1, 2, 2, 2, 3, 3, 2, 3, 2, 0, 3, 1, 3, 0, 3, 1, 4, 1, 0, 4, 1, 3, 3, 1, 4, 0, 2, 2, 2, 1, 3, 3, 4, 2, 1, 0, 3, 1, 0, 0, 2, 0, 0, 2, 1, 1, 3, 3, 4, 4, 3, 4, 1, 0, 3, 0, 3, 2, 0, 4, 0, 1, 2, 0, 3, 4, 3, 0, 0, 1, 0, 0, 3, 0, 0, 1, 4, 3, 0, 2, 3, 1, 3, 2, 2, 1, 1, 3, 4, 0, 2, 3, 2, 3, 4, 3, 4, 2, 1, 2, 0, 1, 0, 2, 3, 2, 2, 1, 0, 3, 2, 3, 1, 4, 4, 3]
pubkeycol1578 = [0, 2, 1, 4, 2, 2, 4, 1, 2, 3, 1, 1, 3, 1, 4, 0, 1, 1, 0, 3, 3, 0, 2, 4, 2, 2, 4, 3, 1, 3, 1, 4, 1, 3, 3, 0, 1, 4, 2, 0, 4, 1, 1, 4, 3, 1, 0, 0, 1, 0, 3, 3, 0, 2, 0, 1, 2, 3, 1, 0, 0, 1, 1, 1, 4, 1, 4, 1, 1, 3, 3, 1, 2, 4, 1, 4, 2, 2, 1, 3, 2, 0, 4, 4, 4, 1, 1, 1, 2, 2, 4, 0, 1, 0, 3, 0, 3, 4, 2, 0, 4, 1, 1, 1, 2, 3, 0, 4, 3, 0, 1, 3, 3, 4, 2, 1, 4, 0, 3, 3, 4, 0, 3, 2, 0, 1, 3, 4, 3, 2, 2, 0, 3, 0, 1, 1, 3, 1, 2, 0, 1, 3, 1, 1, 4, 2, 4, 4, 1, 2, 3, 3, 4, 4, 1, 3, 4, 2, 3, 0, 2, 3, 3, 3, 2, 0, 0, 1, 0, 1, 1, 0, 0, 3, 1, 3, 0, 3, 3, 0, 1, 1, 1, 0, 2, 2, 2, 1, 3, 2, 0, 2, 4, 3, 3, 4, 3, 4, 4, 1, 1, 4, 3, 3, 3, 2, 0, 3, 3, 1, 4, 3, 0, 0, 2, 3, 3, 2, 4, 1, 3, 0, 1, 1, 4, 3, 4, 4, 4, 2, 2, 0, 4, 3, 3, 2, 0, 3, 1, 4, 3, 3, 1, 4, 1, 1, 4, 4, 0, 4, 2, 0, 0, 3, 2, 0, 4, 4, 3, 3, 4, 3, 4, 3, 0, 4, 2, 3, 4, 3, 3, 0, 4, 4, 4, 2, 3, 0, 1, 1, 0, 0, 3, 0, 1, 1, 0, 0, 2, 4, 3, 0, 1, 0, 4, 1, 0, 1, 2, 1, 4, 4, 1, 4, 0, 2, 1, 0, 1, 2, 0, 3, 4, 4, 4, 4, 2, 1, 1, 4, 3, 4, 4, 4, 2, 2, 2, 1, 1, 3, 4, 4, 3, 4, 1, 4, 4, 0, 1, 1, 2, 2, 1, 2, 1, 1, 3, 4, 3, 0, 2, 4, 0, 2, 2, 3, 2, 3, 2, 0, 3, 1, 1, 4, 1, 4, 4, 4, 2, 0, 1, 0, 0, 2, 2, 4, 1, 3, 0, 0, 2, 0, 4, 1, 0, 3, 0, 2, 4, 4, 1, 2, 3, 2, 0, 0, 3, 4, 3, 0]
pubkeycol1579 = [0, 0, 3, 2, 0, 3, 2, 3, 3, 3, 4, 2, 3, 0, 1, 1, 4, 1, 2, 3, 4, 3, 0, 4, 1, 3, 3, 1, 3, 3, 4, 0, 3, 3, 4, 1, 0, 3, 3, 0, 0, 3, 4, 3, 1, 1, 3, 3, 1, 3, 1, 3, 1, 2, 1, 4, 4, 1, 2, 2, 0, 1, 2, 0, 3, 1, 3, 4, 2, 4, 0, 3, 0, 0, 3, 0, 1, 1, 1, 0, 4, 2, 1, 3, 3, 3, 0, 3, 4, 4, 1, 0, 4, 4, 4, 3, 2, 1, 0, 3, 0, 1, 3, 1, 3, 2, 0, 0, 1, 1, 1, 2, 3, 0, 2, 1, 2, 1, 3, 4, 4, 3, 0, 2, 3, 3, 1, 2, 2, 1, 3, 2, 0, 2, 3, 2, 2, 0, 3, 2, 4, 0, 4, 3, 2, 1, 2, 2, 2, 1, 3, 3, 4, 2, 0, 0, 3, 3, 2, 1, 2, 4, 1, 2, 4, 4, 3, 0, 0, 2, 2, 4, 1, 1, 0, 4, 0, 0, 4, 1, 2, 0, 4, 4, 1, 0, 1, 4, 0, 1, 4, 0, 3, 4, 4, 1, 3, 4, 0, 2, 2, 2, 2, 1, 0, 4, 4, 3, 1, 4, 0, 4, 2, 2, 3, 2, 2, 3, 2, 0, 4, 4, 0, 0, 3, 2, 3, 0, 4, 1, 2, 4, 0, 2, 4, 3, 2, 1, 2, 0, 4, 1, 1, 1, 1, 0, 4, 1, 3, 4, 1, 4, 1, 4, 4, 0, 3, 0, 1, 4, 1, 1, 3, 1, 0, 0, 1, 0, 1, 4, 2, 1, 0, 1, 2, 0, 3, 3, 4, 3, 2, 1, 4, 3, 0, 3, 4, 3, 0, 1, 4, 3, 0, 4, 1, 3, 4, 3, 0, 0, 2, 4, 0, 2, 0, 1, 4, 2, 4, 3, 3, 0, 3, 2, 2, 4, 2, 4, 3, 0, 0, 0, 1, 4, 4, 4, 4, 0, 4, 2, 3, 3, 1, 2, 2, 1, 1, 3, 1, 2, 3, 4, 3, 4, 3, 2, 2, 4, 4, 0, 4, 3, 4, 1, 0, 3, 0, 4, 2, 0, 2, 0, 3, 2, 0, 1, 0, 3, 2, 3, 0, 3, 0, 2, 2, 0, 3, 0, 1, 0, 1, 3, 3, 1, 4, 2, 1, 3, 2, 0, 4, 2, 4, 0, 2, 2, 3, 3, 1, 1]
pubkeycol1580 = [1, 0, 4, 0, 4, 2, 0, 4, 1, 3, 0, 2, 2, 4, 0, 4, 2, 2, 4, 4, 3, 2, 0, 2, 4, 3, 1, 2, 4, 1, 3, 2, 4, 3, 4, 3, 1, 0, 4, 3, 0, 2, 2, 2, 1, 2, 0, 2, 3, 2, 2, 1, 1, 1, 2, 2, 4, 4, 3, 2, 0, 0, 3, 0, 2, 1, 1, 4, 4, 0, 1, 0, 0, 2, 3, 3, 4, 4, 0, 3, 4, 1, 4, 1, 0, 4, 1, 0, 4, 2, 2, 0, 3, 1, 2, 0, 2, 1, 4, 4, 3, 1, 0, 1, 0, 4, 3, 4, 3, 2, 3, 2, 0, 2, 2, 0, 1, 0, 3, 3, 3, 2, 4, 2, 0, 3, 3, 0, 4, 1, 4, 2, 1, 1, 0, 4, 4, 2, 3, 2, 3, 3, 1, 4, 0, 3, 2, 2, 4, 2, 3, 3, 1, 1, 1, 0, 1, 2, 0, 4, 2, 3, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 0, 2, 0, 0, 3, 1, 4, 3, 0, 1, 2, 2, 0, 4, 3, 0, 4, 0, 0, 2, 4, 4, 2, 2, 2, 4, 3, 0, 3, 3, 2, 4, 3, 4, 1, 2, 1, 0, 1, 2, 0, 4, 2, 0, 1, 2, 3, 1, 4, 3, 0, 3, 1, 0, 4, 3, 4, 2, 2, 3, 2, 1, 3, 3, 1, 0, 0, 1, 4, 3, 1, 0, 2, 4, 1, 4, 3, 0, 2, 0, 2, 2, 0, 3, 2, 2, 3, 0, 4, 3, 3, 1, 0, 2, 4, 0, 3, 1, 4, 2, 2, 2, 1, 2, 4, 0, 4, 4, 4, 0, 1, 0, 0, 3, 1, 3, 4, 2, 0, 4, 2, 0, 1, 2, 4, 4, 4, 0, 4, 3, 2, 3, 1, 0, 2, 3, 3, 3, 0, 0, 4, 3, 3, 2, 4, 1, 3, 3, 3, 0, 2, 3, 1, 3, 1, 0, 4, 2, 4, 0, 1, 1, 2, 1, 3, 1, 4, 2, 2, 1, 3, 3, 2, 1, 4, 0, 0, 2, 0, 4, 3, 4, 2, 0, 4, 4, 2, 3, 4, 2, 4, 0, 1, 4, 2, 1, 1, 4, 2, 3, 3, 0, 1, 3, 4, 3, 1, 4, 4, 3, 3, 4, 1, 0, 1, 4, 1, 1, 3, 1, 2, 1]
pubkeycol1581 = [4, 1, 3, 2, 0, 4, 4, 2, 0, 4, 1, 2, 4, 1, 4, 3, 1, 2, 2, 1, 1, 2, 3, 3, 2, 2, 0, 0, 2, 4, 0, 0, 4, 4, 1, 1, 4, 3, 2, 1, 3, 1, 0, 4, 3, 2, 2, 3, 3, 4, 0, 3, 3, 4, 3, 2, 1, 4, 3, 1, 1, 0, 3, 2, 1, 0, 4, 4, 4, 3, 4, 4, 0, 3, 0, 0, 1, 2, 0, 3, 1, 4, 1, 3, 3, 1, 3, 2, 2, 0, 0, 1, 1, 0, 2, 4, 2, 0, 4, 1, 2, 3, 1, 2, 0, 0, 2, 4, 0, 1, 2, 4, 4, 2, 0, 1, 2, 1, 4, 3, 1, 1, 0, 1, 4, 4, 3, 3, 1, 0, 4, 3, 4, 4, 1, 0, 2, 3, 0, 4, 1, 3, 1, 0, 4, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 4, 3, 2, 3, 4, 0, 1, 1, 2, 1, 1, 1, 0, 4, 4, 3, 4, 1, 3, 4, 4, 1, 2, 2, 1, 0, 0, 0, 3, 4, 4, 2, 3, 4, 0, 2, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 2, 4, 2, 2, 3, 2, 4, 3, 4, 3, 4, 2, 4, 4, 2, 1, 0, 1, 2, 0, 1, 1, 2, 3, 1, 3, 2, 4, 0, 1, 0, 2, 3, 4, 3, 0, 4, 2, 3, 3, 1, 3, 4, 0, 2, 3, 2, 2, 4, 3, 4, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 4, 0, 4, 3, 1, 3, 4, 2, 1, 2, 3, 2, 3, 4, 2, 0, 4, 4, 1, 0, 1, 1, 4, 1, 2, 2, 2, 4, 0, 3, 0, 0, 2, 1, 4, 0, 4, 2, 0, 1, 3, 2, 0, 3, 2, 2, 4, 1, 0, 3, 3, 3, 4, 0, 0, 3, 2, 0, 0, 2, 4, 4, 4, 2, 2, 0, 3, 3, 1, 3, 0, 3, 2, 1, 3, 4, 3, 4, 2, 1, 2, 4, 4, 3, 3, 2, 1, 2, 1, 2, 1, 4, 3, 3, 4, 1, 4, 0, 0, 1, 2, 0, 3, 1, 1, 3, 1, 4, 1, 2, 1, 2, 4, 0, 1, 3, 0, 4, 4, 3, 1, 4, 3, 1, 2, 2, 0, 2, 0, 3, 3, 4, 1, 0]
pubkeycol1582 = [0, 4, 4, 4, 1, 3, 0, 0, 1, 1, 0, 3, 1, 2, 4, 4, 4, 3, 4, 4, 2, 3, 1, 4, 2, 0, 3, 3, 4, 0, 1, 4, 3, 1, 3, 3, 1, 2, 2, 3, 0, 3, 2, 3, 1, 1, 1, 2, 1, 2, 3, 3, 2, 2, 1, 4, 4, 3, 3, 3, 2, 3, 4, 1, 3, 4, 1, 3, 1, 0, 2, 2, 4, 2, 1, 0, 3, 1, 0, 0, 3, 0, 0, 2, 1, 0, 0, 2, 3, 3, 3, 3, 2, 0, 3, 4, 4, 4, 0, 2, 1, 3, 1, 1, 0, 4, 1, 3, 4, 4, 2, 1, 3, 2, 2, 4, 2, 0, 3, 2, 1, 1, 4, 0, 0, 3, 3, 3, 4, 1, 3, 1, 1, 4, 2, 0, 3, 1, 3, 1, 1, 0, 1, 1, 0, 4, 0, 0, 4, 2, 0, 2, 4, 4, 1, 2, 0, 2, 3, 1, 1, 4, 3, 4, 2, 3, 4, 1, 4, 3, 1, 2, 1, 4, 4, 4, 1, 2, 4, 1, 4, 3, 1, 2, 0, 2, 3, 3, 0, 3, 2, 1, 3, 0, 0, 2, 3, 3, 3, 0, 3, 0, 3, 0, 1, 3, 1, 1, 2, 4, 2, 3, 2, 3, 4, 0, 2, 1, 1, 4, 1, 0, 2, 1, 0, 3, 0, 4, 1, 0, 2, 2, 0, 2, 4, 4, 2, 2, 1, 4, 2, 0, 3, 0, 1, 1, 2, 2, 4, 3, 1, 4, 2, 0, 3, 3, 3, 0, 3, 1, 0, 4, 0, 0, 4, 1, 1, 1, 3, 1, 2, 0, 3, 3, 4, 1, 2, 4, 1, 4, 0, 1, 3, 1, 3, 0, 2, 1, 4, 3, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 3, 3, 4, 3, 2, 2, 1, 3, 0, 3, 1, 1, 4, 4, 2, 3, 3, 4, 1, 1, 2, 3, 0, 1, 2, 1, 3, 1, 2, 2, 2, 4, 0, 0, 0, 4, 2, 1, 1, 4, 4, 3, 0, 4, 2, 2, 1, 1, 2, 3, 1, 3, 3, 3, 1, 1, 4, 4, 2, 4, 3, 1, 2, 3, 2, 1, 1, 0, 1, 4, 0, 0, 3, 2, 2, 4, 1, 3, 3, 0, 0, 4, 0, 3, 4, 1, 4, 1, 2, 4, 3, 4, 4, 2, 4, 3, 1, 0, 2, 4]
pubkeycol1583 = [1, 3, 3, 1, 0, 3, 0, 3, 3, 0, 3, 2, 0, 3, 1, 3, 0, 1, 4, 4, 4, 1, 0, 1, 3, 3, 0, 3, 4, 2, 0, 0, 4, 3, 3, 3, 3, 1, 1, 0, 0, 0, 2, 0, 1, 4, 2, 3, 1, 3, 1, 4, 0, 0, 2, 3, 4, 2, 3, 4, 2, 1, 0, 3, 1, 0, 2, 2, 0, 3, 0, 0, 2, 0, 4, 2, 3, 4, 1, 1, 3, 0, 3, 1, 4, 4, 4, 3, 4, 4, 2, 4, 0, 3, 1, 3, 0, 2, 0, 2, 3, 2, 0, 4, 3, 4, 4, 3, 3, 1, 3, 1, 3, 3, 2, 3, 2, 1, 4, 2, 0, 3, 3, 1, 1, 0, 0, 1, 4, 2, 3, 2, 1, 4, 1, 0, 1, 0, 4, 2, 4, 4, 0, 0, 2, 1, 3, 3, 2, 0, 3, 2, 0, 2, 0, 1, 4, 2, 3, 2, 1, 0, 3, 3, 3, 4, 2, 2, 3, 1, 3, 4, 2, 3, 4, 3, 1, 0, 2, 3, 2, 1, 4, 0, 0, 2, 2, 3, 1, 4, 2, 3, 4, 4, 4, 3, 2, 3, 4, 1, 0, 2, 2, 3, 4, 0, 1, 0, 2, 0, 1, 2, 2, 4, 1, 2, 2, 3, 0, 1, 2, 1, 3, 1, 3, 0, 2, 3, 1, 4, 0, 3, 3, 1, 4, 4, 2, 4, 4, 0, 4, 2, 3, 4, 4, 4, 4, 2, 1, 1, 1, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 0, 0, 4, 2, 4, 4, 0, 2, 1, 1, 4, 0, 1, 1, 4, 1, 4, 2, 0, 3, 3, 1, 4, 4, 2, 3, 1, 0, 3, 0, 4, 4, 0, 4, 1, 2, 4, 4, 0, 1, 0, 0, 4, 3, 2, 0, 2, 0, 0, 1, 0, 3, 3, 2, 1, 0, 4, 0, 3, 0, 2, 1, 0, 4, 4, 2, 0, 1, 2, 1, 1, 2, 1, 2, 3, 3, 3, 3, 1, 0, 4, 3, 3, 3, 3, 1, 0, 3, 3, 3, 1, 0, 3, 4, 2, 0, 4, 2, 2, 4, 0, 3, 1, 1, 4, 4, 1, 3, 1, 1, 4, 3, 3, 0, 1, 3, 4, 3, 3, 4, 1, 1, 1, 2, 1, 3, 0, 0, 0, 3, 4, 1, 2, 0, 2, 4, 2, 3, 4]
pubkeycol1584 = [3, 3, 0, 2, 0, 2, 0, 3, 4, 1, 1, 3, 2, 4, 3, 4, 1, 0, 0, 4, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 3, 2, 1, 4, 0, 0, 0, 4, 1, 4, 2, 1, 0, 2, 4, 1, 1, 0, 4, 0, 2, 2, 1, 2, 1, 0, 2, 4, 3, 2, 3, 2, 4, 4, 4, 0, 1, 3, 2, 2, 3, 3, 1, 0, 0, 2, 2, 1, 3, 1, 3, 2, 4, 3, 2, 0, 4, 0, 1, 2, 0, 4, 2, 0, 4, 3, 0, 3, 2, 0, 1, 2, 4, 0, 4, 0, 0, 1, 4, 4, 0, 1, 4, 2, 2, 0, 0, 0, 1, 3, 1, 0, 1, 3, 1, 3, 0, 1, 0, 4, 1, 4, 2, 1, 1, 4, 1, 4, 0, 0, 0, 3, 4, 4, 0, 4, 0, 2, 1, 0, 3, 3, 2, 3, 0, 3, 2, 3, 4, 2, 0, 4, 2, 1, 1, 3, 1, 4, 1, 3, 1, 0, 4, 4, 1, 2, 4, 0, 1, 2, 4, 4, 2, 2, 4, 2, 1, 1, 4, 2, 0, 2, 3, 3, 1, 0, 0, 3, 2, 1, 2, 2, 1, 4, 3, 4, 3, 3, 4, 3, 4, 4, 1, 4, 2, 2, 0, 1, 3, 0, 4, 0, 1, 3, 4, 1, 2, 2, 4, 3, 1, 4, 1, 1, 0, 4, 0, 1, 2, 1, 4, 0, 1, 2, 0, 2, 4, 0, 1, 3, 2, 4, 0, 4, 0, 1, 4, 1, 1, 4, 2, 1, 1, 1, 4, 4, 3, 4, 4, 2, 1, 3, 4, 0, 4, 0, 3, 4, 4, 4, 2, 0, 2, 1, 3, 2, 2, 0, 0, 4, 1, 3, 2, 1, 1, 4, 4, 0, 4, 2, 0, 4, 2, 2, 0, 0, 0, 2, 3, 3, 1, 4, 2, 3, 0, 0, 1, 0, 3, 1, 0, 1, 3, 1, 1, 4, 4, 4, 2, 1, 1, 1, 0, 1, 1, 0, 4, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 3, 1, 1, 2, 1, 0, 2, 3, 3, 0, 3, 3, 0, 4, 1, 2, 4, 0, 3, 1, 4, 0, 4, 0, 1, 0, 2, 2, 0, 3, 1, 2, 3, 1, 4, 0, 2, 2, 1, 3, 4, 3, 4, 4, 2, 3, 3, 1, 1, 2, 0, 3, 3]
pubkeycol1585 = [4, 1, 0, 0, 1, 2, 4, 2, 3, 3, 2, 0, 4, 1, 4, 0, 4, 2, 2, 3, 2, 2, 4, 0, 2, 0, 3, 3, 0, 4, 3, 0, 3, 3, 2, 2, 3, 1, 0, 2, 2, 4, 3, 1, 2, 1, 1, 3, 2, 0, 1, 2, 2, 1, 1, 3, 0, 2, 2, 1, 2, 3, 1, 4, 2, 0, 1, 0, 0, 1, 0, 3, 1, 0, 1, 3, 1, 4, 3, 0, 4, 0, 1, 1, 4, 3, 1, 2, 0, 4, 2, 3, 4, 1, 2, 4, 1, 2, 4, 4, 2, 4, 1, 1, 2, 1, 1, 4, 0, 3, 0, 2, 2, 0, 4, 2, 2, 0, 1, 4, 2, 4, 2, 3, 1, 3, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 3, 2, 4, 4, 0, 0, 1, 3, 4, 0, 4, 2, 0, 2, 4, 2, 3, 2, 0, 1, 1, 2, 2, 0, 2, 3, 4, 4, 4, 4, 4, 0, 3, 4, 0, 3, 2, 1, 4, 2, 3, 2, 1, 1, 4, 0, 4, 0, 0, 4, 4, 4, 3, 2, 0, 4, 3, 4, 2, 2, 1, 2, 0, 3, 4, 0, 0, 4, 1, 3, 3, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 3, 0, 3, 4, 3, 2, 1, 1, 2, 2, 1, 4, 4, 2, 0, 0, 2, 2, 4, 4, 4, 2, 3, 2, 4, 4, 0, 3, 4, 0, 3, 3, 2, 1, 0, 3, 0, 2, 4, 4, 0, 4, 3, 1, 2, 1, 1, 1, 0, 0, 1, 1, 4, 4, 1, 1, 1, 2, 1, 2, 3, 1, 1, 4, 2, 3, 1, 2, 2, 1, 4, 4, 1, 3, 0, 3, 4, 3, 4, 0, 3, 1, 2, 3, 3, 3, 4, 0, 4, 3, 3, 1, 0, 1, 3, 2, 1, 0, 0, 3, 0, 1, 3, 0, 4, 1, 2, 0, 2, 3, 3, 1, 0, 3, 0, 1, 4, 1, 4, 0, 4, 1, 1, 3, 3, 4, 1, 3, 1, 4, 0, 4, 1, 0, 0, 4, 4, 4, 1, 0, 4, 4, 2, 4, 4, 4, 0, 3, 1, 2, 1, 0, 4, 0, 2, 1, 4, 4, 0, 1, 4, 1, 0, 3, 3, 4, 1, 2, 2, 4, 4, 2, 0, 4, 1]
pubkeycol1586 = [3, 2, 2, 0, 3, 1, 0, 2, 3, 0, 1, 0, 4, 0, 1, 3, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 4, 0, 3, 2, 4, 4, 1, 2, 3, 3, 2, 1, 1, 1, 0, 4, 2, 3, 2, 1, 2, 0, 0, 0, 0, 3, 1, 0, 1, 2, 1, 3, 3, 1, 4, 0, 1, 4, 2, 2, 2, 2, 4, 3, 2, 0, 0, 0, 0, 2, 1, 2, 3, 3, 0, 0, 2, 3, 2, 4, 4, 2, 0, 2, 1, 2, 2, 1, 4, 3, 4, 4, 4, 1, 3, 3, 2, 4, 2, 3, 0, 4, 3, 0, 4, 2, 3, 2, 4, 2, 2, 0, 0, 1, 0, 3, 1, 4, 3, 2, 2, 1, 4, 0, 2, 3, 4, 4, 0, 3, 3, 0, 3, 1, 3, 3, 0, 3, 0, 1, 0, 4, 1, 0, 3, 4, 1, 3, 0, 0, 4, 2, 1, 2, 2, 3, 1, 3, 0, 1, 4, 2, 2, 1, 3, 0, 3, 2, 1, 2, 1, 2, 1, 4, 0, 1, 0, 3, 0, 4, 3, 2, 4, 0, 2, 2, 2, 4, 4, 2, 2, 3, 0, 0, 1, 2, 0, 4, 0, 2, 3, 0, 3, 4, 0, 3, 1, 3, 2, 3, 2, 4, 0, 2, 2, 0, 0, 0, 3, 4, 3, 2, 4, 4, 3, 0, 1, 0, 3, 2, 4, 2, 4, 3, 3, 0, 3, 3, 2, 3, 1, 4, 2, 4, 3, 2, 2, 4, 0, 3, 0, 2, 3, 0, 2, 4, 2, 0, 4, 3, 3, 1, 4, 3, 0, 0, 4, 2, 4, 4, 1, 1, 1, 4, 0, 0, 3, 0, 0, 3, 3, 1, 0, 3, 2, 2, 1, 4, 0, 4, 0, 3, 3, 4, 4, 0, 4, 3, 0, 4, 0, 4, 0, 0, 3, 4, 2, 2, 2, 3, 4, 3, 2, 2, 1, 2, 0, 4, 2, 1, 4, 4, 4, 4, 2, 2, 1, 2, 0, 3, 3, 2, 3, 1, 2, 2, 3, 0, 0, 1, 3, 1, 4, 1, 3, 1, 2, 1, 1, 3, 2, 3, 0, 4, 2, 4, 2, 0, 4, 0, 1, 4, 4, 3, 2, 1, 4, 0, 3, 0, 0, 4, 4, 3, 4, 1, 2, 0, 2, 3, 0, 0, 3, 2, 0, 1, 0, 0, 1, 4]
pubkeycol1587 = [2, 0, 1, 2, 2, 4, 4, 3, 1, 1, 0, 1, 2, 0, 1, 0, 4, 2, 4, 4, 3, 2, 2, 3, 4, 3, 1, 2, 3, 0, 1, 3, 1, 4, 3, 4, 2, 1, 4, 4, 4, 0, 4, 3, 1, 2, 1, 3, 4, 2, 1, 1, 4, 4, 2, 2, 3, 2, 0, 0, 0, 1, 0, 3, 3, 2, 0, 4, 0, 4, 0, 1, 3, 1, 2, 4, 4, 0, 1, 2, 1, 4, 2, 4, 1, 3, 2, 0, 2, 1, 0, 3, 3, 4, 4, 2, 4, 1, 4, 3, 2, 2, 1, 1, 0, 3, 2, 1, 0, 3, 4, 3, 1, 4, 1, 3, 0, 2, 2, 0, 0, 1, 1, 1, 0, 3, 4, 1, 1, 2, 0, 2, 0, 2, 0, 2, 3, 3, 4, 4, 2, 3, 0, 2, 2, 3, 3, 0, 0, 0, 3, 2, 1, 3, 3, 1, 2, 1, 0, 0, 0, 1, 0, 3, 3, 2, 0, 1, 0, 0, 2, 0, 0, 3, 2, 4, 3, 4, 1, 3, 2, 1, 0, 0, 1, 1, 3, 3, 0, 3, 3, 1, 4, 2, 3, 0, 0, 0, 0, 4, 2, 4, 2, 4, 2, 4, 1, 0, 0, 1, 4, 0, 0, 4, 0, 2, 3, 0, 1, 0, 0, 4, 4, 4, 4, 3, 0, 2, 3, 1, 0, 4, 4, 0, 4, 0, 3, 2, 2, 0, 4, 4, 4, 2, 2, 3, 3, 1, 1, 0, 1, 1, 2, 4, 0, 0, 2, 4, 0, 1, 2, 1, 4, 3, 3, 0, 1, 0, 3, 1, 4, 4, 3, 1, 4, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 1, 3, 2, 1, 0, 2, 1, 0, 1, 2, 3, 4, 2, 3, 3, 4, 4, 4, 2, 4, 2, 3, 0, 1, 3, 3, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 4, 3, 4, 3, 3, 3, 0, 0, 1, 3, 1, 4, 1, 2, 0, 1, 2, 3, 2, 0, 3, 1, 2, 3, 1, 0, 1, 2, 4, 3, 4, 1, 0, 4, 3, 1, 0, 2, 3, 4, 3, 3, 1, 4, 1, 4, 2, 4, 4, 0, 1, 2, 2, 0, 3, 1, 2, 1, 2, 3, 4, 1, 0, 3, 2, 1, 0, 3, 0, 3, 2, 3, 4, 2, 3, 0, 1, 0, 2]
pubkeycol1588 = [0, 0, 1, 3, 4, 1, 3, 1, 3, 0, 0, 3, 0, 4, 2, 1, 4, 4, 4, 0, 0, 1, 0, 3, 2, 2, 3, 3, 2, 1, 1, 0, 2, 4, 0, 3, 0, 2, 3, 3, 2, 3, 0, 4, 0, 4, 3, 1, 4, 4, 0, 0, 0, 3, 2, 2, 4, 4, 1, 2, 2, 4, 4, 2, 0, 2, 2, 4, 3, 3, 0, 4, 0, 3, 2, 1, 2, 4, 0, 2, 0, 4, 4, 3, 2, 1, 2, 2, 2, 0, 1, 4, 2, 2, 3, 4, 2, 4, 4, 4, 4, 0, 2, 2, 1, 4, 3, 1, 4, 0, 1, 2, 3, 0, 4, 1, 0, 4, 1, 1, 1, 4, 0, 0, 0, 4, 2, 2, 1, 1, 3, 1, 1, 3, 0, 3, 0, 2, 2, 4, 0, 4, 2, 0, 0, 4, 4, 2, 0, 2, 0, 3, 4, 3, 1, 0, 2, 3, 3, 2, 2, 0, 4, 3, 3, 0, 3, 4, 0, 3, 4, 4, 3, 4, 0, 1, 2, 1, 0, 4, 1, 4, 1, 1, 0, 3, 4, 3, 1, 4, 4, 0, 4, 1, 4, 1, 3, 2, 3, 3, 0, 1, 0, 3, 4, 3, 3, 4, 4, 2, 1, 4, 3, 0, 2, 1, 0, 1, 1, 4, 0, 4, 3, 4, 3, 1, 0, 4, 2, 1, 1, 1, 1, 4, 2, 2, 3, 0, 0, 3, 2, 4, 0, 3, 2, 0, 1, 4, 0, 0, 3, 2, 4, 2, 4, 1, 2, 2, 4, 2, 4, 3, 0, 1, 1, 1, 4, 3, 3, 0, 0, 4, 1, 3, 1, 1, 1, 2, 4, 0, 1, 2, 3, 2, 0, 1, 3, 3, 4, 2, 1, 3, 3, 2, 3, 4, 0, 3, 3, 4, 4, 1, 3, 4, 3, 4, 3, 2, 0, 1, 4, 0, 4, 4, 3, 4, 0, 4, 3, 4, 3, 3, 3, 0, 1, 4, 1, 0, 0, 1, 3, 3, 3, 3, 4, 1, 1, 0, 3, 1, 1, 0, 2, 1, 4, 3, 2, 3, 3, 1, 4, 0, 2, 2, 1, 4, 3, 3, 0, 0, 0, 3, 2, 4, 3, 1, 0, 3, 2, 4, 2, 0, 3, 4, 4, 1, 1, 1, 4, 0, 1, 1, 0, 0, 4, 1, 3, 1, 4, 4, 0, 4, 1, 3, 3, 3, 0, 1, 1, 3]
pubkeycol1589 = [1, 4, 0, 0, 3, 0, 3, 3, 0, 3, 2, 3, 1, 3, 3, 1, 1, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 4, 4, 1, 4, 0, 2, 0, 0, 4, 0, 2, 2, 3, 0, 1, 4, 2, 2, 3, 4, 4, 0, 2, 2, 0, 3, 3, 0, 3, 0, 2, 3, 1, 2, 1, 2, 4, 2, 4, 1, 2, 2, 2, 0, 3, 0, 0, 4, 3, 0, 0, 2, 4, 2, 1, 0, 0, 4, 2, 1, 3, 2, 1, 2, 4, 2, 3, 4, 3, 3, 3, 2, 2, 0, 4, 3, 3, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 4, 2, 1, 3, 4, 1, 1, 0, 2, 1, 4, 0, 0, 2, 1, 0, 1, 3, 3, 0, 3, 0, 4, 2, 2, 3, 3, 2, 4, 0, 1, 2, 4, 4, 0, 1, 2, 3, 3, 2, 4, 0, 4, 4, 1, 1, 0, 0, 3, 1, 3, 4, 4, 3, 3, 1, 2, 2, 3, 3, 1, 0, 0, 4, 1, 3, 4, 1, 3, 2, 2, 0, 0, 0, 2, 2, 0, 4, 1, 1, 1, 0, 1, 1, 0, 4, 3, 0, 4, 2, 1, 0, 4, 2, 2, 4, 3, 1, 3, 2, 3, 1, 0, 3, 3, 3, 3, 3, 3, 4, 1, 0, 4, 1, 2, 3, 2, 3, 1, 1, 1, 4, 1, 3, 3, 1, 1, 2, 4, 0, 4, 2, 0, 1, 3, 0, 3, 0, 0, 0, 1, 4, 0, 4, 4, 2, 0, 3, 3, 3, 4, 1, 2, 3, 4, 4, 0, 1, 2, 3, 3, 1, 3, 0, 3, 4, 3, 0, 4, 0, 1, 2, 1, 1, 1, 0, 1, 0, 4, 2, 4, 1, 2, 1, 3, 2, 4, 0, 0, 2, 4, 3, 3, 2, 3, 1, 3, 3, 3, 4, 1, 4, 1, 3, 3, 3, 4, 0, 1, 1, 1, 3, 3, 4, 4, 0, 0, 1, 1, 0, 4, 4, 1, 0, 1, 2, 1, 3, 1, 0, 4, 2, 2, 4, 1, 3, 1, 2, 1, 1, 3, 3, 3, 1, 4, 3, 3, 4, 4, 2, 2, 1, 1, 2, 1, 3, 0, 4, 3, 3, 0, 4, 3, 3, 0, 4, 2, 4, 4, 0, 0, 1, 2, 4, 1, 4, 3, 1, 4, 2, 0, 2, 2]
pubkeycol1590 = [3, 2, 0, 3, 1, 2, 2, 4, 4, 1, 1, 3, 3, 0, 0, 0, 2, 4, 1, 1, 0, 1, 1, 4, 3, 3, 0, 3, 4, 1, 3, 0, 1, 4, 3, 4, 4, 1, 3, 3, 2, 3, 3, 4, 1, 0, 3, 1, 2, 3, 1, 1, 1, 0, 3, 4, 3, 0, 2, 1, 3, 4, 4, 3, 1, 4, 3, 0, 2, 2, 4, 4, 1, 3, 4, 1, 3, 3, 4, 3, 4, 4, 1, 4, 2, 4, 2, 1, 3, 1, 0, 1, 1, 4, 2, 4, 1, 4, 3, 3, 2, 0, 0, 3, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 4, 1, 4, 4, 0, 4, 3, 2, 1, 4, 1, 3, 1, 2, 2, 0, 4, 1, 0, 4, 1, 2, 2, 1, 0, 1, 1, 1, 3, 3, 2, 4, 1, 2, 0, 1, 2, 1, 3, 2, 4, 0, 0, 2, 2, 2, 1, 1, 3, 3, 4, 4, 2, 2, 0, 1, 2, 2, 4, 0, 3, 3, 4, 1, 3, 4, 1, 0, 2, 4, 3, 3, 2, 2, 3, 2, 4, 4, 3, 3, 1, 3, 0, 0, 4, 1, 1, 2, 4, 1, 2, 0, 0, 4, 4, 1, 0, 3, 3, 4, 3, 0, 2, 3, 4, 3, 4, 0, 2, 0, 3, 1, 0, 3, 0, 1, 1, 1, 1, 0, 4, 0, 4, 1, 3, 2, 0, 2, 4, 0, 2, 2, 1, 2, 2, 0, 0, 0, 3, 1, 0, 4, 4, 1, 0, 1, 4, 4, 3, 0, 2, 3, 2, 2, 1, 4, 2, 3, 4, 1, 3, 3, 2, 4, 4, 3, 0, 2, 4, 2, 4, 2, 3, 2, 0, 3, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 3, 0, 4, 0, 2, 1, 3, 2, 0, 3, 4, 3, 1, 1, 4, 3, 1, 0, 3, 4, 0, 0, 4, 2, 2, 0, 4, 3, 2, 1, 0, 3, 4, 1, 0, 4, 1, 4, 2, 1, 4, 4, 3, 3, 4, 0, 3, 0, 2, 3, 0, 4, 3, 3, 1, 1, 0, 2, 3, 4, 4, 3, 2, 3, 1, 0, 4, 1, 2, 3, 2, 0, 1, 4, 1, 3, 1, 1, 1, 4, 3, 0, 3, 2, 0, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 1, 0]
pubkeycol1591 = [3, 2, 2, 2, 1, 0, 1, 0, 3, 0, 2, 3, 1, 2, 1, 3, 3, 0, 1, 0, 2, 4, 2, 2, 4, 1, 4, 0, 1, 4, 3, 1, 0, 2, 1, 0, 2, 4, 4, 2, 0, 4, 4, 3, 3, 3, 1, 0, 2, 4, 4, 4, 4, 3, 3, 3, 2, 2, 3, 4, 1, 3, 1, 3, 0, 0, 0, 2, 4, 4, 4, 0, 4, 3, 1, 4, 0, 1, 2, 0, 3, 1, 0, 1, 2, 0, 4, 0, 4, 1, 3, 3, 4, 3, 1, 0, 2, 1, 2, 4, 4, 0, 2, 4, 2, 3, 2, 4, 3, 0, 4, 1, 3, 3, 3, 3, 1, 4, 2, 3, 3, 0, 4, 0, 0, 2, 4, 4, 2, 4, 1, 4, 3, 0, 3, 2, 2, 3, 4, 2, 1, 4, 0, 2, 0, 2, 2, 4, 4, 2, 1, 1, 2, 2, 4, 4, 3, 4, 3, 4, 0, 1, 1, 1, 2, 0, 0, 4, 2, 4, 4, 0, 3, 2, 4, 1, 0, 2, 3, 1, 3, 3, 1, 3, 0, 1, 4, 3, 0, 0, 3, 1, 4, 3, 0, 0, 4, 2, 3, 0, 2, 1, 1, 4, 4, 2, 2, 3, 2, 0, 3, 4, 0, 2, 3, 1, 4, 3, 4, 4, 0, 4, 3, 0, 3, 4, 0, 3, 1, 4, 3, 1, 1, 3, 2, 3, 1, 3, 2, 1, 0, 3, 0, 2, 4, 3, 4, 3, 4, 0, 4, 1, 4, 1, 0, 3, 2, 0, 2, 4, 0, 3, 3, 2, 3, 2, 4, 4, 3, 0, 0, 4, 4, 0, 2, 3, 4, 2, 1, 2, 2, 1, 0, 1, 4, 2, 1, 0, 2, 0, 3, 2, 4, 4, 1, 3, 3, 1, 1, 3, 3, 2, 1, 4, 4, 3, 4, 1, 4, 2, 2, 2, 3, 1, 1, 0, 4, 0, 0, 0, 4, 4, 1, 4, 3, 0, 3, 3, 4, 2, 3, 0, 2, 1, 0, 3, 2, 2, 1, 3, 0, 0, 3, 3, 2, 1, 4, 2, 4, 4, 1, 3, 2, 4, 4, 1, 4, 0, 4, 0, 4, 3, 4, 2, 2, 1, 0, 1, 4, 3, 2, 2, 3, 3, 0, 1, 2, 3, 1, 2, 4, 3, 3, 0, 3, 1, 0, 1, 4, 2, 4, 2, 3, 4, 3, 3, 3, 1, 0, 3]
pubkeycol1592 = [1, 2, 1, 0, 1, 0, 3, 4, 4, 2, 1, 0, 2, 4, 3, 1, 3, 0, 4, 0, 2, 2, 3, 0, 0, 2, 3, 4, 4, 4, 4, 4, 4, 2, 2, 2, 1, 3, 2, 0, 1, 3, 0, 4, 1, 4, 3, 4, 2, 1, 4, 0, 1, 0, 3, 0, 3, 2, 3, 0, 1, 2, 0, 1, 3, 1, 0, 2, 4, 0, 0, 4, 2, 3, 1, 1, 0, 3, 3, 4, 1, 4, 2, 0, 4, 2, 2, 2, 1, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 4, 2, 0, 3, 4, 1, 0, 0, 1, 0, 4, 2, 1, 0, 1, 4, 1, 3, 3, 1, 2, 1, 3, 0, 4, 3, 3, 2, 3, 0, 4, 3, 1, 1, 4, 3, 4, 3, 4, 2, 1, 0, 3, 2, 1, 3, 4, 4, 0, 4, 2, 0, 3, 3, 2, 2, 4, 2, 4, 3, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 4, 1, 3, 4, 0, 2, 2, 0, 0, 2, 1, 0, 1, 4, 0, 2, 4, 4, 4, 0, 1, 2, 0, 3, 0, 0, 0, 3, 0, 0, 0, 2, 4, 1, 1, 3, 2, 1, 1, 3, 1, 1, 3, 1, 3, 2, 2, 0, 2, 4, 3, 3, 2, 1, 4, 3, 4, 0, 4, 2, 4, 2, 0, 2, 0, 3, 1, 0, 0, 3, 2, 1, 2, 0, 0, 0, 3, 2, 1, 0, 4, 4, 3, 0, 0, 0, 2, 4, 2, 1, 3, 4, 1, 4, 1, 0, 3, 3, 3, 1, 3, 2, 2, 2, 4, 3, 1, 0, 0, 4, 2, 2, 3, 3, 2, 0, 3, 3, 0, 0, 2, 3, 3, 3, 1, 2, 3, 0, 2, 0, 3, 2, 3, 0, 3, 2, 4, 1, 4, 3, 1, 3, 4, 2, 1, 3, 1, 3, 0, 0, 0, 1, 4, 1, 0, 0, 2, 2, 0, 3, 3, 1, 2, 0, 2, 1, 0, 2, 4, 4, 1, 2, 0, 3, 0, 1, 2, 0, 1, 3, 3, 1, 2, 2, 3, 3, 2, 2, 1, 1, 0, 4, 0, 4, 0, 4, 3, 2, 1, 2, 2, 1, 0, 0, 0, 3, 4, 1, 1, 4, 3, 3, 2, 2, 3, 4, 0, 0, 3, 3, 1, 3, 4, 2, 3, 1, 2, 3]
pubkeycol1593 = [1, 3, 3, 2, 0, 2, 2, 0, 2, 4, 3, 2, 0, 4, 2, 4, 4, 2, 4, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 4, 2, 0, 2, 3, 3, 4, 2, 2, 1, 3, 3, 2, 3, 2, 2, 4, 0, 0, 2, 1, 4, 3, 2, 2, 0, 1, 1, 2, 4, 3, 2, 1, 4, 4, 4, 3, 2, 3, 1, 2, 2, 3, 0, 3, 4, 4, 2, 4, 1, 3, 3, 0, 0, 3, 2, 0, 4, 2, 0, 1, 1, 3, 2, 2, 1, 0, 4, 1, 2, 0, 1, 4, 1, 4, 1, 3, 2, 1, 0, 4, 0, 1, 4, 0, 2, 0, 1, 1, 1, 4, 4, 4, 2, 0, 2, 3, 1, 1, 3, 1, 1, 1, 0, 2, 0, 3, 1, 3, 0, 1, 2, 0, 1, 0, 2, 4, 4, 0, 2, 3, 3, 1, 3, 4, 2, 4, 4, 3, 0, 2, 1, 0, 3, 2, 1, 1, 0, 2, 2, 4, 0, 1, 0, 0, 4, 4, 1, 4, 2, 2, 3, 4, 3, 0, 3, 1, 2, 4, 4, 0, 2, 3, 4, 0, 1, 3, 3, 0, 4, 0, 3, 2, 4, 3, 3, 0, 3, 0, 4, 3, 1, 2, 0, 0, 0, 2, 1, 2, 3, 0, 4, 4, 2, 1, 2, 2, 2, 3, 1, 3, 0, 1, 4, 0, 2, 4, 3, 0, 0, 2, 4, 0, 4, 2, 4, 1, 1, 3, 1, 3, 4, 4, 4, 2, 3, 0, 1, 2, 2, 2, 0, 3, 1, 4, 0, 1, 1, 4, 3, 2, 0, 0, 1, 2, 0, 2, 0, 1, 3, 3, 0, 3, 4, 1, 3, 2, 0, 2, 3, 0, 0, 4, 4, 2, 4, 4, 4, 1, 3, 1, 4, 0, 2, 4, 3, 4, 1, 1, 2, 1, 2, 4, 0, 0, 4, 1, 1, 0, 0, 0, 3, 0, 2, 4, 4, 1, 3, 3, 0, 4, 0, 2, 3, 0, 4, 4, 1, 2, 2, 1, 0, 1, 4, 4, 0, 1, 2, 2, 1, 3, 1, 1, 4, 2, 2, 2, 1, 0, 4, 4, 0, 3, 3, 1, 3, 2, 4, 3, 0, 0, 0, 4, 4, 1, 3, 2, 3, 4, 0, 2, 4, 2, 2, 4, 2, 0, 2, 4, 3, 4, 4, 2, 2, 1]
pubkeycol1594 = [3, 1, 3, 4, 1, 4, 2, 3, 4, 1, 0, 2, 1, 4, 3, 0, 1, 4, 0, 2, 0, 4, 1, 2, 4, 4, 3, 0, 3, 4, 1, 3, 1, 3, 1, 2, 3, 1, 4, 4, 4, 1, 0, 2, 2, 1, 0, 4, 3, 4, 1, 4, 4, 3, 4, 4, 0, 2, 4, 3, 0, 3, 2, 3, 3, 3, 4, 4, 0, 2, 0, 0, 4, 3, 3, 2, 4, 3, 0, 4, 3, 3, 0, 2, 2, 3, 4, 4, 2, 2, 3, 1, 1, 3, 4, 4, 1, 4, 4, 1, 3, 4, 0, 0, 2, 4, 4, 1, 4, 2, 2, 4, 4, 0, 1, 0, 3, 2, 3, 2, 1, 3, 3, 0, 0, 2, 0, 4, 3, 3, 4, 4, 4, 3, 4, 3, 0, 3, 0, 4, 2, 4, 0, 2, 2, 2, 4, 1, 0, 0, 1, 0, 4, 1, 4, 0, 2, 3, 4, 3, 2, 4, 3, 4, 0, 1, 2, 0, 1, 0, 3, 1, 0, 0, 0, 3, 0, 1, 0, 3, 0, 2, 1, 4, 4, 4, 3, 1, 4, 4, 3, 3, 2, 3, 3, 0, 3, 1, 2, 2, 1, 3, 1, 1, 0, 2, 3, 3, 3, 0, 2, 1, 3, 4, 0, 1, 1, 4, 2, 3, 1, 4, 0, 1, 0, 4, 3, 1, 3, 3, 2, 1, 4, 1, 4, 2, 0, 3, 1, 0, 4, 4, 2, 0, 1, 1, 1, 4, 2, 1, 2, 1, 3, 3, 0, 2, 4, 4, 4, 4, 4, 2, 4, 0, 0, 0, 4, 3, 0, 4, 3, 1, 2, 3, 4, 0, 3, 0, 1, 3, 1, 1, 2, 1, 1, 0, 2, 3, 4, 0, 0, 0, 2, 0, 4, 3, 0, 3, 4, 2, 0, 1, 2, 4, 1, 4, 2, 3, 4, 4, 4, 2, 1, 3, 2, 4, 3, 0, 3, 0, 4, 3, 0, 0, 0, 3, 2, 4, 0, 4, 1, 2, 0, 4, 2, 3, 0, 4, 1, 2, 0, 0, 1, 4, 0, 1, 3, 0, 3, 0, 0, 0, 2, 4, 2, 0, 0, 2, 2, 1, 1, 2, 3, 3, 0, 3, 3, 4, 4, 1, 1, 4, 3, 0, 3, 3, 1, 2, 3, 4, 3, 2, 1, 4, 3, 4, 3, 2, 0, 2, 0, 1, 2, 4, 2, 1, 3, 0, 4, 4]
pubkeycol1595 = [4, 0, 0, 0, 0, 0, 4, 2, 0, 0, 1, 4, 3, 1, 2, 2, 4, 1, 3, 2, 2, 0, 2, 3, 2, 1, 1, 4, 4, 3, 0, 4, 1, 2, 2, 0, 1, 4, 1, 4, 4, 3, 3, 3, 2, 1, 4, 2, 0, 1, 0, 1, 4, 2, 0, 4, 4, 3, 4, 1, 0, 0, 0, 1, 3, 0, 1, 0, 2, 1, 3, 4, 3, 4, 4, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 3, 4, 4, 0, 0, 0, 2, 4, 3, 4, 4, 3, 3, 0, 1, 3, 0, 3, 3, 3, 4, 3, 3, 1, 0, 4, 2, 0, 4, 1, 4, 4, 3, 2, 0, 0, 3, 3, 2, 3, 3, 3, 2, 2, 4, 3, 2, 0, 3, 3, 3, 2, 4, 4, 0, 0, 1, 3, 3, 3, 2, 1, 4, 1, 4, 1, 1, 2, 1, 0, 0, 3, 1, 3, 4, 4, 2, 0, 4, 2, 0, 0, 2, 3, 2, 0, 4, 4, 0, 3, 4, 1, 4, 2, 4, 3, 3, 1, 0, 4, 4, 1, 0, 2, 3, 1, 3, 0, 1, 2, 2, 0, 3, 2, 3, 3, 0, 4, 4, 3, 4, 1, 4, 1, 2, 1, 3, 1, 1, 2, 2, 0, 3, 3, 4, 1, 1, 0, 3, 0, 3, 3, 4, 0, 2, 4, 1, 2, 4, 0, 2, 3, 0, 3, 1, 0, 4, 2, 0, 4, 2, 2, 0, 2, 3, 1, 1, 4, 1, 3, 1, 4, 2, 1, 4, 4, 3, 4, 0, 0, 1, 4, 1, 2, 4, 2, 2, 3, 1, 4, 0, 4, 1, 0, 2, 4, 2, 2, 0, 2, 4, 3, 1, 0, 2, 0, 2, 4, 4, 4, 0, 4, 2, 4, 2, 0, 4, 1, 1, 4, 3, 4, 2, 2, 3, 0, 4, 2, 4, 2, 2, 2, 4, 1, 2, 0, 2, 4, 1, 3, 3, 0, 4, 3, 0, 1, 2, 2, 3, 2, 0, 4, 2, 1, 3, 2, 2, 2, 2, 2, 1, 1, 4, 3, 0, 3, 4, 0, 0, 3, 1, 4, 1, 1, 3, 2, 4, 1, 4, 2, 1, 0, 3, 3, 1, 0, 2, 2, 0, 2, 3, 4, 3, 2, 3, 1, 3, 3, 1, 4, 0, 4, 3, 2, 1, 0, 3, 2, 4, 1, 1, 1, 4, 0]
pubkeycol1596 = [2, 3, 3, 1, 0, 0, 2, 0, 4, 2, 1, 3, 3, 1, 2, 4, 1, 3, 1, 0, 1, 0, 3, 1, 1, 0, 4, 1, 0, 2, 4, 1, 1, 4, 4, 0, 0, 1, 2, 0, 0, 0, 3, 3, 4, 3, 3, 4, 1, 4, 0, 4, 3, 4, 0, 0, 0, 4, 2, 2, 3, 0, 3, 4, 1, 3, 2, 2, 2, 3, 3, 1, 4, 0, 1, 1, 1, 3, 3, 4, 0, 2, 3, 4, 2, 0, 0, 2, 4, 4, 1, 4, 3, 2, 0, 2, 0, 4, 4, 0, 0, 3, 0, 4, 3, 2, 4, 1, 4, 4, 3, 1, 0, 1, 2, 1, 0, 2, 2, 3, 1, 4, 2, 1, 2, 1, 0, 2, 2, 0, 0, 3, 0, 2, 4, 2, 2, 0, 2, 1, 4, 1, 3, 4, 1, 1, 0, 2, 1, 3, 4, 2, 0, 0, 0, 3, 0, 3, 1, 4, 1, 3, 0, 1, 1, 3, 2, 3, 3, 0, 2, 4, 0, 1, 4, 1, 0, 4, 2, 0, 1, 0, 1, 3, 0, 3, 0, 1, 1, 3, 3, 0, 2, 1, 4, 2, 2, 3, 4, 3, 3, 0, 0, 1, 1, 0, 2, 4, 3, 0, 1, 4, 2, 3, 0, 3, 4, 0, 3, 4, 0, 0, 2, 3, 4, 0, 3, 0, 1, 3, 3, 4, 0, 4, 3, 0, 3, 3, 0, 3, 1, 4, 3, 1, 4, 2, 1, 3, 2, 1, 2, 0, 0, 3, 0, 3, 4, 2, 3, 1, 3, 0, 3, 4, 4, 4, 3, 1, 4, 1, 2, 1, 0, 4, 2, 1, 0, 2, 1, 4, 0, 0, 3, 3, 1, 3, 0, 0, 0, 2, 3, 0, 0, 3, 3, 2, 3, 4, 0, 4, 1, 1, 1, 0, 2, 4, 4, 1, 0, 0, 2, 0, 2, 2, 2, 3, 1, 2, 1, 3, 4, 0, 1, 1, 2, 1, 4, 0, 0, 2, 4, 0, 3, 2, 1, 3, 2, 2, 4, 0, 0, 3, 4, 0, 1, 0, 3, 2, 1, 4, 3, 1, 2, 3, 4, 4, 3, 4, 2, 1, 2, 4, 2, 0, 3, 0, 1, 1, 1, 0, 3, 0, 0, 3, 4, 4, 4, 2, 4, 3, 3, 2, 0, 2, 0, 4, 4, 4, 2, 0, 1, 4, 2, 1, 4, 0, 1, 1, 4, 2]
pubkeycol1597 = [0, 4, 1, 1, 4, 0, 0, 2, 3, 1, 4, 0, 1, 3, 0, 2, 0, 4, 4, 0, 2, 1, 4, 3, 3, 4, 0, 0, 2, 3, 4, 2, 3, 4, 1, 1, 3, 2, 0, 2, 0, 3, 1, 4, 3, 3, 0, 1, 1, 0, 4, 4, 1, 0, 1, 2, 2, 2, 0, 4, 2, 3, 3, 1, 3, 4, 3, 1, 1, 4, 0, 2, 0, 1, 4, 0, 2, 4, 0, 0, 1, 1, 1, 0, 1, 0, 0, 4, 1, 4, 4, 3, 1, 3, 1, 4, 4, 1, 0, 0, 4, 1, 2, 0, 3, 2, 3, 3, 1, 1, 3, 3, 1, 2, 0, 0, 1, 1, 3, 4, 4, 2, 1, 3, 1, 3, 4, 1, 2, 3, 2, 4, 4, 1, 1, 3, 2, 1, 4, 3, 2, 0, 4, 1, 3, 3, 4, 3, 3, 2, 3, 4, 2, 3, 2, 4, 1, 3, 4, 1, 3, 1, 3, 3, 1, 3, 0, 0, 3, 4, 1, 1, 2, 2, 2, 2, 4, 3, 1, 2, 4, 2, 4, 1, 4, 3, 2, 0, 2, 0, 1, 1, 0, 3, 0, 0, 1, 1, 2, 4, 4, 0, 1, 4, 2, 3, 2, 1, 2, 2, 0, 4, 2, 2, 4, 1, 0, 1, 0, 0, 2, 4, 2, 2, 3, 3, 1, 2, 3, 2, 3, 1, 2, 1, 2, 0, 3, 3, 4, 2, 4, 1, 0, 3, 3, 2, 1, 2, 4, 3, 4, 1, 4, 1, 3, 3, 1, 2, 0, 4, 4, 4, 2, 0, 0, 1, 3, 1, 1, 1, 0, 3, 3, 3, 2, 3, 1, 0, 1, 4, 2, 4, 4, 0, 1, 3, 1, 2, 2, 3, 2, 3, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 4, 0, 2, 2, 1, 0, 2, 0, 2, 3, 1, 2, 1, 3, 1, 1, 4, 2, 4, 4, 0, 4, 3, 0, 1, 4, 4, 2, 1, 1, 4, 3, 0, 2, 0, 3, 0, 1, 3, 1, 0, 3, 4, 3, 3, 3, 0, 4, 0, 2, 2, 2, 2, 3, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 3, 4, 0, 1, 4, 1, 0, 4, 4, 4, 1, 2, 4, 1, 1, 2, 2, 3, 0, 3, 2, 1, 4, 2, 1, 3, 2, 2, 4, 0, 2]
pubkeycol1598 = [4, 2, 4, 1, 1, 4, 4, 4, 3, 2, 4, 2, 0, 0, 4, 3, 2, 2, 4, 4, 3, 2, 3, 4, 1, 2, 0, 0, 2, 3, 0, 4, 1, 3, 0, 0, 3, 2, 0, 1, 0, 3, 2, 4, 4, 1, 0, 3, 4, 3, 1, 4, 1, 4, 1, 0, 4, 2, 2, 0, 2, 2, 4, 0, 3, 2, 2, 4, 2, 4, 2, 4, 1, 1, 2, 4, 2, 0, 3, 3, 4, 3, 3, 1, 2, 0, 2, 0, 4, 1, 4, 2, 1, 2, 3, 1, 0, 0, 4, 2, 0, 2, 0, 1, 4, 1, 2, 4, 2, 1, 2, 0, 0, 2, 4, 1, 2, 0, 3, 2, 0, 1, 0, 4, 3, 3, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 3, 2, 2, 2, 0, 3, 4, 1, 4, 2, 1, 2, 0, 3, 2, 2, 3, 3, 4, 4, 4, 2, 2, 4, 4, 3, 1, 0, 3, 4, 2, 3, 0, 2, 4, 4, 0, 4, 0, 1, 2, 4, 4, 1, 3, 3, 3, 3, 2, 1, 4, 0, 1, 2, 2, 0, 4, 1, 4, 4, 3, 3, 4, 2, 3, 3, 2, 3, 1, 0, 3, 2, 1, 0, 2, 1, 0, 0, 4, 1, 1, 2, 0, 4, 3, 1, 0, 3, 3, 3, 3, 3, 2, 4, 0, 1, 0, 3, 0, 1, 3, 3, 1, 1, 4, 4, 0, 1, 1, 4, 3, 4, 0, 2, 2, 2, 4, 1, 3, 2, 3, 1, 0, 4, 1, 0, 3, 2, 1, 4, 1, 3, 3, 0, 0, 1, 3, 0, 0, 2, 2, 2, 1, 2, 4, 3, 4, 2, 4, 4, 0, 1, 3, 0, 1, 4, 4, 0, 2, 3, 1, 3, 3, 3, 3, 1, 4, 0, 2, 1, 3, 2, 0, 0, 2, 3, 3, 1, 2, 0, 1, 1, 1, 3, 3, 2, 2, 1, 0, 1, 0, 0, 3, 1, 0, 4, 2, 3, 1, 4, 1, 0, 2, 0, 4, 3, 4, 3, 2, 0, 1, 4, 1, 1, 2, 4, 3, 0, 2, 2, 0, 2, 4, 2, 3, 3, 0, 1, 0, 4, 0, 4, 1, 1, 1, 4, 3, 1, 3, 1, 0, 3, 0, 1, 1, 0, 4, 4, 3, 2, 2, 0, 1, 1, 3, 4, 4, 3, 4, 2, 1, 4, 0, 2]
pubkeycol1599 = [0, 4, 1, 0, 4, 1, 2, 4, 3, 2, 1, 4, 3, 1, 4, 0, 1, 2, 2, 1, 2, 2, 1, 3, 0, 1, 2, 2, 2, 4, 0, 2, 0, 4, 0, 2, 4, 1, 1, 2, 4, 3, 3, 0, 4, 2, 2, 1, 2, 1, 4, 0, 3, 1, 3, 2, 3, 3, 2, 3, 3, 3, 1, 1, 1, 2, 1, 4, 4, 1, 2, 2, 4, 3, 1, 3, 1, 1, 0, 3, 1, 0, 3, 2, 3, 0, 3, 2, 3, 2, 1, 4, 2, 0, 4, 3, 1, 2, 3, 0, 1, 1, 0, 2, 4, 0, 1, 0, 0, 1, 0, 3, 1, 3, 2, 4, 4, 0, 0, 3, 1, 2, 3, 1, 1, 0, 1, 4, 4, 0, 0, 1, 2, 1, 3, 3, 4, 1, 4, 0, 2, 3, 2, 3, 2, 3, 2, 2, 0, 4, 2, 0, 4, 1, 2, 4, 0, 3, 1, 1, 3, 0, 2, 3, 0, 4, 2, 0, 1, 0, 3, 3, 1, 0, 0, 3, 1, 2, 1, 0, 2, 3, 1, 4, 2, 4, 1, 1, 0, 4, 3, 4, 1, 2, 4, 0, 3, 0, 1, 2, 0, 2, 4, 1, 4, 1, 2, 4, 1, 1, 0, 4, 1, 3, 4, 2, 3, 0, 0, 4, 1, 1, 3, 4, 3, 2, 4, 3, 0, 2, 2, 3, 4, 4, 0, 2, 4, 2, 2, 4, 1, 3, 0, 4, 3, 3, 0, 0, 0, 3, 1, 0, 2, 2, 0, 3, 4, 1, 4, 3, 0, 3, 4, 4, 2, 0, 3, 0, 2, 3, 2, 4, 3, 4, 1, 1, 0, 1, 4, 0, 1, 1, 0, 3, 3, 1, 0, 1, 1, 0, 1, 1, 4, 4, 2, 2, 4, 0, 0, 2, 2, 0, 3, 3, 3, 3, 0, 2, 0, 0, 3, 2, 2, 2, 4, 1, 3, 3, 3, 0, 1, 4, 1, 2, 2, 4, 1, 2, 4, 2, 4, 0, 0, 2, 1, 2, 3, 0, 0, 0, 4, 4, 2, 2, 0, 3, 3, 1, 0, 2, 1, 1, 1, 1, 4, 4, 4, 3, 4, 1, 1, 4, 3, 0, 1, 3, 0, 2, 4, 2, 0, 2, 4, 2, 2, 3, 1, 0, 1, 3, 1, 0, 1, 2, 2, 2, 3, 1, 1, 3, 4, 1, 3, 0, 3, 1, 2, 4, 4, 0]
pubkeycol1600 = [4, 2, 3, 2, 2, 3, 2, 4, 4, 3, 2, 2, 4, 0, 2, 4, 4, 3, 3, 3, 4, 0, 0, 3, 1, 0, 2, 3, 0, 2, 1, 0, 3, 2, 2, 4, 3, 2, 3, 1, 1, 4, 0, 1, 3, 1, 3, 2, 4, 4, 1, 4, 0, 1, 1, 1, 3, 0, 1, 0, 1, 4, 3, 4, 4, 3, 4, 0, 1, 3, 4, 0, 4, 0, 1, 4, 0, 4, 1, 2, 4, 4, 3, 0, 4, 4, 3, 3, 3, 0, 2, 2, 4, 4, 0, 1, 2, 4, 3, 4, 3, 0, 0, 1, 2, 4, 2, 2, 3, 4, 3, 3, 4, 3, 4, 4, 0, 0, 0, 4, 3, 2, 3, 0, 3, 1, 1, 1, 0, 3, 1, 0, 3, 1, 3, 4, 4, 2, 1, 2, 2, 1, 4, 4, 4, 3, 2, 4, 4, 3, 3, 2, 0, 1, 1, 3, 2, 2, 2, 4, 3, 0, 0, 2, 2, 3, 1, 3, 4, 4, 4, 4, 0, 2, 4, 4, 2, 0, 3, 3, 2, 3, 1, 1, 4, 2, 2, 0, 0, 1, 2, 1, 4, 3, 0, 3, 1, 0, 1, 2, 0, 3, 0, 0, 3, 1, 2, 0, 4, 2, 2, 3, 2, 0, 1, 3, 4, 1, 4, 1, 1, 0, 4, 0, 1, 4, 0, 4, 2, 3, 2, 3, 2, 2, 3, 1, 4, 0, 2, 1, 0, 2, 2, 2, 2, 3, 0, 3, 4, 3, 3, 1, 4, 1, 0, 2, 4, 1, 2, 3, 0, 3, 4, 0, 2, 1, 4, 0, 4, 0, 1, 2, 2, 2, 3, 0, 2, 1, 2, 0, 3, 0, 2, 3, 1, 0, 1, 3, 0, 3, 3, 0, 0, 0, 2, 4, 2, 0, 4, 2, 3, 2, 1, 1, 2, 3, 3, 0, 3, 0, 2, 2, 1, 0, 0, 3, 1, 4, 0, 1, 0, 0, 2, 0, 0, 0, 0, 3, 2, 0, 4, 0, 0, 1, 3, 4, 3, 4, 0, 1, 0, 2, 1, 3, 3, 1, 4, 2, 4, 1, 4, 0, 2, 0, 2, 2, 1, 4, 4, 1, 3, 0, 0, 3, 1, 0, 1, 3, 1, 3, 3, 1, 0, 4, 0, 3, 4, 1, 3, 4, 2, 4, 1, 3, 4, 4, 4, 2, 0, 1, 2, 4, 4, 4, 1, 1, 2, 1, 4, 3]
pubkeycol1601 = [4, 2, 0, 4, 1, 2, 4, 2, 3, 2, 1, 3, 0, 3, 0, 0, 3, 3, 2, 1, 4, 1, 1, 2, 1, 4, 1, 2, 1, 2, 3, 3, 2, 0, 3, 0, 1, 1, 4, 4, 2, 3, 0, 2, 3, 0, 1, 1, 0, 0, 3, 1, 2, 1, 2, 2, 4, 3, 4, 1, 1, 0, 2, 0, 0, 1, 4, 1, 1, 0, 0, 4, 1, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 4, 0, 2, 0, 4, 2, 0, 4, 4, 1, 3, 1, 4, 4, 0, 0, 0, 3, 2, 3, 0, 3, 0, 2, 2, 4, 1, 3, 4, 4, 0, 3, 1, 4, 2, 2, 4, 2, 1, 2, 4, 2, 0, 1, 2, 4, 4, 1, 3, 2, 0, 0, 2, 3, 1, 3, 3, 4, 2, 3, 4, 3, 4, 4, 3, 2, 3, 0, 0, 3, 1, 3, 2, 0, 4, 0, 3, 3, 2, 3, 2, 4, 0, 4, 3, 4, 2, 3, 1, 1, 1, 1, 0, 3, 4, 4, 2, 4, 2, 1, 4, 2, 0, 0, 0, 4, 2, 1, 2, 2, 4, 4, 2, 3, 4, 0, 0, 1, 3, 1, 1, 3, 4, 0, 3, 2, 0, 3, 0, 2, 3, 3, 3, 2, 1, 1, 4, 2, 2, 3, 1, 2, 3, 3, 0, 4, 4, 3, 4, 1, 3, 0, 1, 0, 1, 4, 2, 0, 1, 1, 2, 0, 3, 1, 0, 3, 0, 1, 1, 3, 2, 1, 0, 4, 4, 2, 3, 3, 0, 3, 0, 3, 1, 1, 0, 1, 4, 1, 3, 4, 3, 2, 4, 3, 0, 1, 4, 1, 1, 4, 0, 4, 1, 0, 1, 4, 1, 4, 1, 1, 2, 1, 1, 0, 3, 2, 0, 3, 1, 2, 4, 0, 3, 2, 4, 1, 2, 3, 4, 2, 2, 4, 1, 3, 1, 0, 0, 0, 3, 2, 2, 1, 3, 3, 2, 0, 2, 1, 4, 4, 2, 0, 0, 3, 4, 2, 2, 4, 0, 4, 0, 0, 3, 3, 3, 1, 3, 0, 1, 0, 0, 3, 2, 4, 1, 0, 1, 2, 3, 2, 1, 3, 3, 4, 3, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 3, 2, 2, 4, 1, 4, 0, 4, 0, 3, 2, 2, 4, 0, 0, 1, 0]
pubkeycol1602 = [4, 1, 2, 3, 0, 1, 0, 2, 2, 2, 3, 3, 1, 4, 1, 1, 4, 2, 2, 3, 2, 3, 1, 2, 2, 4, 0, 2, 4, 0, 4, 4, 1, 1, 0, 2, 0, 4, 1, 2, 4, 2, 2, 0, 2, 2, 3, 3, 4, 1, 1, 1, 1, 2, 3, 1, 4, 2, 0, 4, 4, 0, 2, 4, 3, 3, 1, 0, 2, 3, 1, 4, 3, 0, 3, 3, 2, 3, 0, 2, 3, 3, 3, 0, 0, 4, 3, 1, 2, 4, 0, 4, 1, 2, 3, 0, 0, 0, 3, 1, 1, 0, 0, 0, 4, 1, 4, 4, 1, 4, 3, 0, 0, 3, 0, 2, 4, 1, 3, 1, 0, 0, 0, 3, 0, 4, 2, 4, 3, 4, 3, 1, 0, 2, 1, 1, 4, 4, 0, 0, 1, 4, 1, 0, 3, 3, 4, 2, 3, 1, 4, 4, 1, 3, 1, 1, 4, 4, 3, 0, 2, 1, 3, 0, 4, 3, 2, 3, 1, 1, 1, 4, 1, 2, 3, 4, 1, 4, 0, 4, 4, 4, 2, 0, 1, 3, 0, 3, 3, 3, 1, 3, 4, 4, 1, 4, 3, 2, 2, 3, 2, 1, 4, 2, 4, 1, 4, 1, 0, 3, 1, 0, 0, 0, 3, 0, 1, 0, 4, 1, 4, 2, 2, 2, 3, 2, 1, 3, 3, 1, 3, 3, 0, 0, 0, 3, 3, 3, 4, 0, 2, 2, 3, 0, 3, 0, 2, 1, 1, 1, 4, 4, 2, 4, 4, 4, 2, 1, 4, 2, 3, 1, 1, 3, 4, 0, 0, 1, 1, 1, 1, 0, 4, 0, 4, 4, 3, 0, 0, 4, 0, 4, 0, 1, 2, 1, 3, 4, 1, 4, 4, 2, 4, 2, 1, 3, 4, 2, 2, 4, 3, 0, 1, 2, 3, 3, 3, 4, 2, 2, 3, 2, 2, 1, 0, 3, 1, 4, 4, 2, 3, 0, 0, 2, 3, 0, 4, 1, 3, 2, 2, 1, 1, 2, 0, 0, 0, 0, 3, 2, 1, 0, 1, 4, 2, 2, 4, 0, 3, 0, 3, 3, 2, 0, 2, 4, 0, 2, 2, 4, 0, 2, 2, 3, 2, 4, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 3, 2, 4, 1, 3, 3, 4, 1, 2, 1, 1, 2, 2, 4, 2, 3, 0, 0, 3, 1, 2, 0, 2, 4]
pubkeycol1603 = [4, 0, 2, 1, 2, 2, 3, 3, 3, 1, 4, 4, 4, 2, 3, 4, 3, 0, 1, 3, 4, 3, 2, 4, 3, 0, 4, 3, 0, 2, 1, 1, 3, 1, 2, 3, 3, 2, 3, 2, 0, 0, 2, 3, 0, 4, 1, 4, 0, 2, 0, 2, 1, 4, 1, 3, 3, 0, 1, 2, 2, 0, 0, 0, 4, 2, 1, 4, 0, 2, 4, 3, 0, 1, 1, 0, 0, 2, 1, 0, 0, 3, 0, 4, 0, 1, 0, 3, 1, 2, 0, 1, 2, 0, 1, 0, 3, 0, 3, 1, 4, 3, 4, 3, 3, 0, 4, 2, 1, 1, 0, 3, 0, 1, 0, 2, 4, 0, 4, 0, 2, 4, 0, 2, 4, 1, 0, 3, 4, 3, 2, 4, 4, 3, 3, 2, 2, 1, 2, 3, 0, 0, 4, 2, 0, 4, 3, 4, 1, 2, 4, 0, 2, 4, 4, 1, 3, 4, 2, 0, 2, 1, 0, 1, 3, 1, 1, 1, 3, 3, 3, 1, 0, 0, 0, 1, 4, 2, 1, 2, 1, 2, 1, 2, 3, 4, 3, 3, 3, 4, 4, 3, 2, 1, 4, 0, 0, 3, 4, 0, 3, 0, 1, 1, 0, 2, 1, 1, 1, 1, 3, 3, 2, 0, 1, 0, 3, 3, 1, 2, 2, 0, 3, 2, 2, 0, 0, 4, 4, 4, 3, 4, 0, 1, 0, 4, 0, 1, 1, 0, 1, 0, 3, 3, 3, 0, 1, 1, 4, 2, 2, 3, 0, 2, 2, 2, 2, 0, 0, 0, 4, 2, 1, 4, 1, 0, 0, 0, 2, 3, 4, 2, 2, 2, 2, 2, 0, 1, 4, 4, 1, 3, 0, 1, 1, 1, 2, 0, 1, 3, 3, 1, 3, 0, 2, 4, 0, 3, 4, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 4, 1, 4, 1, 1, 4, 3, 2, 0, 3, 2, 1, 2, 2, 3, 0, 3, 4, 1, 1, 4, 0, 0, 2, 2, 4, 3, 1, 2, 0, 2, 2, 4, 1, 4, 3, 3, 0, 1, 3, 3, 1, 1, 1, 2, 2, 1, 3, 4, 3, 1, 2, 0, 3, 0, 0, 3, 3, 3, 4, 0, 3, 1, 0, 2, 3, 2, 3, 0, 1, 0, 4, 3, 0, 0, 0, 2, 4, 4, 3, 0, 4, 3, 2, 3, 3, 1, 3, 1, 0]
pubkeycol1604 = [3, 3, 3, 4, 4, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 4, 0, 1, 0, 3, 4, 1, 1, 0, 4, 2, 2, 2, 0, 0, 3, 0, 2, 2, 2, 3, 4, 4, 0, 0, 4, 0, 4, 1, 4, 1, 4, 3, 0, 1, 1, 3, 3, 3, 4, 2, 4, 4, 0, 1, 3, 2, 4, 2, 0, 0, 2, 1, 4, 2, 0, 4, 3, 0, 4, 3, 1, 3, 3, 0, 3, 3, 3, 1, 3, 0, 4, 0, 0, 4, 2, 1, 4, 4, 2, 4, 4, 4, 0, 0, 1, 3, 4, 3, 3, 4, 3, 3, 1, 1, 0, 1, 3, 1, 3, 4, 2, 3, 2, 2, 1, 1, 0, 2, 2, 0, 2, 3, 2, 0, 0, 4, 2, 4, 2, 1, 3, 3, 0, 4, 3, 1, 4, 1, 1, 0, 0, 3, 1, 1, 3, 4, 4, 3, 1, 4, 0, 2, 3, 3, 1, 0, 2, 4, 0, 3, 3, 0, 2, 3, 0, 3, 1, 2, 3, 1, 4, 4, 4, 2, 4, 1, 3, 3, 3, 4, 0, 4, 4, 1, 2, 4, 2, 3, 0, 0, 4, 1, 1, 1, 3, 2, 4, 0, 0, 2, 4, 2, 0, 4, 3, 1, 2, 3, 3, 4, 3, 0, 0, 4, 4, 4, 2, 4, 1, 4, 2, 2, 0, 0, 0, 4, 2, 2, 4, 4, 4, 4, 0, 1, 2, 0, 2, 4, 3, 0, 4, 0, 4, 2, 4, 2, 3, 4, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 3, 4, 1, 2, 2, 0, 0, 4, 2, 0, 1, 1, 1, 2, 0, 0, 1, 4, 4, 3, 3, 4, 4, 4, 4, 4, 0, 4, 1, 4, 3, 0, 1, 4, 1, 4, 4, 3, 3, 1, 4, 0, 0, 1, 4, 4, 1, 1, 2, 3, 1, 3, 0, 4, 3, 2, 2, 4, 3, 0, 1, 1, 0, 3, 0, 0, 0, 2, 0, 2, 2, 2, 3, 4, 2, 1, 1, 0, 1, 0, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 3, 4, 4, 2, 3, 2, 2, 3, 1, 3, 2, 3, 4, 0, 3, 1, 2, 0, 1, 0, 3, 1, 3, 4, 2, 4, 1, 0, 3, 3, 2, 2, 4, 4, 2, 3, 1, 1, 3, 2, 2, 2]
pubkeycol1605 = [3, 3, 1, 4, 3, 0, 4, 3, 4, 2, 0, 3, 4, 4, 4, 3, 4, 0, 2, 2, 1, 1, 2, 3, 3, 0, 0, 1, 0, 3, 3, 3, 3, 3, 2, 2, 4, 2, 1, 4, 0, 3, 2, 3, 1, 1, 1, 1, 3, 1, 3, 2, 2, 1, 0, 4, 0, 1, 3, 0, 3, 1, 3, 2, 3, 2, 0, 3, 2, 1, 1, 0, 4, 4, 3, 0, 2, 2, 3, 0, 0, 4, 1, 1, 2, 1, 0, 1, 0, 1, 3, 3, 2, 4, 2, 4, 2, 3, 0, 1, 3, 4, 4, 2, 4, 0, 1, 4, 4, 2, 0, 4, 3, 1, 2, 3, 0, 4, 1, 4, 4, 3, 2, 0, 2, 3, 2, 1, 3, 1, 3, 2, 1, 1, 4, 0, 1, 0, 0, 4, 4, 2, 1, 4, 1, 2, 4, 0, 2, 4, 4, 2, 1, 1, 2, 0, 1, 2, 3, 3, 3, 3, 0, 3, 1, 1, 3, 0, 4, 4, 2, 4, 2, 1, 4, 0, 4, 2, 1, 2, 0, 4, 4, 2, 3, 2, 2, 4, 1, 4, 1, 0, 1, 4, 2, 4, 3, 4, 4, 3, 2, 2, 0, 4, 3, 2, 4, 0, 4, 1, 0, 4, 3, 3, 2, 3, 2, 1, 3, 3, 1, 1, 3, 0, 2, 2, 4, 3, 0, 4, 1, 3, 3, 4, 4, 1, 2, 0, 1, 1, 0, 4, 0, 2, 1, 3, 0, 4, 4, 1, 0, 4, 2, 0, 4, 0, 4, 1, 0, 3, 4, 4, 1, 4, 4, 4, 2, 1, 0, 3, 2, 0, 2, 4, 1, 4, 0, 3, 0, 2, 2, 0, 2, 4, 3, 2, 1, 4, 4, 4, 0, 0, 1, 2, 0, 2, 2, 1, 4, 2, 2, 1, 2, 2, 3, 1, 1, 0, 4, 0, 3, 0, 0, 3, 0, 2, 0, 1, 2, 3, 2, 3, 1, 3, 1, 4, 2, 4, 1, 0, 3, 1, 3, 4, 3, 2, 1, 4, 1, 1, 4, 4, 0, 3, 1, 2, 1, 1, 0, 1, 2, 4, 0, 4, 3, 0, 2, 4, 4, 1, 1, 3, 2, 1, 0, 0, 1, 3, 1, 0, 2, 0, 4, 0, 3, 4, 0, 3, 3, 0, 0, 3, 3, 3, 1, 0, 2, 2, 1, 1, 3, 4, 0, 4, 4, 4, 0, 1, 1, 1]
pubkeycol1606 = [0, 2, 4, 0, 0, 2, 0, 0, 4, 4, 3, 2, 4, 4, 2, 3, 4, 0, 4, 0, 1, 2, 3, 0, 0, 4, 1, 4, 2, 4, 3, 3, 0, 2, 4, 2, 1, 4, 1, 2, 0, 4, 4, 4, 0, 1, 0, 1, 2, 2, 2, 3, 4, 1, 2, 0, 3, 0, 0, 0, 0, 1, 1, 2, 4, 2, 0, 0, 0, 4, 4, 1, 2, 2, 3, 4, 4, 3, 0, 3, 4, 1, 4, 4, 3, 2, 0, 0, 0, 2, 4, 4, 4, 3, 0, 1, 3, 0, 1, 3, 2, 1, 0, 1, 0, 0, 3, 3, 2, 2, 4, 3, 2, 4, 1, 1, 0, 2, 4, 0, 4, 0, 1, 2, 3, 2, 1, 2, 3, 1, 2, 1, 0, 0, 2, 4, 0, 4, 2, 3, 1, 4, 1, 2, 4, 0, 4, 4, 2, 1, 2, 3, 3, 0, 0, 3, 1, 3, 0, 1, 4, 2, 4, 1, 3, 2, 2, 0, 1, 1, 2, 3, 1, 1, 2, 2, 4, 2, 2, 1, 1, 0, 3, 1, 2, 0, 2, 0, 0, 0, 3, 0, 1, 2, 3, 4, 0, 1, 2, 0, 4, 3, 1, 1, 4, 3, 2, 2, 1, 1, 1, 4, 0, 2, 0, 1, 1, 1, 4, 1, 0, 4, 1, 2, 4, 1, 1, 2, 2, 3, 0, 2, 4, 0, 0, 3, 3, 3, 0, 2, 0, 2, 2, 3, 0, 4, 0, 0, 0, 4, 0, 4, 2, 0, 2, 3, 4, 4, 3, 3, 0, 4, 1, 0, 4, 0, 3, 0, 1, 4, 1, 1, 2, 0, 0, 3, 2, 0, 2, 2, 2, 4, 0, 1, 1, 4, 3, 1, 2, 3, 1, 2, 3, 2, 4, 0, 4, 0, 0, 2, 0, 3, 3, 3, 2, 3, 1, 3, 0, 0, 0, 3, 4, 0, 1, 1, 1, 2, 4, 3, 0, 1, 3, 3, 3, 0, 0, 4, 1, 2, 0, 3, 4, 3, 3, 2, 2, 4, 1, 4, 2, 0, 2, 1, 3, 2, 3, 3, 1, 4, 0, 0, 4, 2, 2, 3, 0, 0, 0, 2, 1, 4, 2, 0, 0, 1, 3, 1, 2, 0, 1, 2, 0, 4, 3, 2, 2, 2, 2, 3, 0, 3, 2, 3, 4, 2, 3, 1, 4, 2, 4, 1, 0, 4, 0, 3, 2, 1, 4, 3]
pubkeycol1607 = [0, 1, 2, 1, 1, 3, 1, 1, 2, 1, 3, 1, 3, 2, 0, 3, 4, 2, 3, 1, 1, 3, 4, 4, 2, 4, 0, 4, 2, 0, 4, 1, 0, 2, 0, 4, 4, 3, 0, 0, 3, 4, 0, 1, 2, 2, 4, 3, 0, 0, 4, 2, 1, 3, 1, 1, 0, 0, 4, 2, 4, 2, 1, 4, 2, 1, 1, 3, 2, 0, 2, 4, 1, 4, 2, 0, 4, 0, 0, 0, 4, 3, 0, 0, 1, 1, 3, 3, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 4, 1, 1, 1, 0, 4, 3, 1, 2, 1, 4, 0, 3, 0, 0, 2, 0, 3, 0, 2, 3, 1, 1, 0, 2, 3, 0, 3, 3, 1, 2, 2, 2, 4, 3, 2, 3, 0, 1, 0, 0, 0, 4, 1, 3, 1, 3, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 4, 1, 2, 2, 0, 0, 3, 3, 2, 3, 4, 3, 3, 0, 1, 3, 0, 0, 4, 2, 0, 2, 1, 0, 1, 4, 4, 2, 4, 0, 0, 0, 0, 4, 0, 0, 1, 2, 2, 2, 3, 0, 0, 0, 1, 2, 3, 2, 1, 4, 2, 3, 1, 1, 1, 2, 4, 4, 0, 2, 1, 4, 3, 1, 2, 1, 4, 4, 3, 3, 0, 2, 4, 2, 3, 4, 3, 1, 0, 2, 0, 4, 2, 2, 0, 3, 3, 0, 3, 3, 2, 1, 0, 4, 4, 0, 4, 4, 4, 1, 1, 4, 1, 0, 4, 0, 4, 0, 3, 3, 4, 4, 2, 0, 4, 1, 3, 2, 3, 0, 0, 4, 0, 1, 4, 0, 4, 4, 2, 2, 4, 3, 3, 4, 3, 2, 2, 4, 0, 0, 0, 4, 2, 3, 1, 2, 0, 4, 3, 0, 4, 3, 4, 2, 1, 4, 4, 4, 2, 4, 3, 1, 0, 4, 1, 1, 4, 2, 0, 0, 3, 3, 0, 4, 4, 1, 4, 3, 4, 1, 4, 1, 2, 1, 4, 0, 3, 0, 2, 3, 1, 3, 2, 3, 0, 0, 2, 3, 0, 4, 1, 3, 0, 4, 0, 4, 0, 0, 4, 2, 1, 4, 4, 4, 2, 1, 4, 1, 1, 2, 1, 2, 4, 2, 0, 0, 4, 4, 4, 4, 2, 3, 1, 3, 0, 1, 3, 2, 4, 3]
pubkeycol1608 = [1, 0, 4, 0, 0, 4, 2, 0, 4, 0, 4, 0, 3, 0, 3, 2, 3, 1, 0, 0, 1, 1, 3, 2, 3, 1, 4, 0, 1, 2, 4, 0, 4, 0, 1, 3, 1, 1, 2, 3, 3, 0, 4, 2, 3, 3, 4, 3, 4, 2, 0, 0, 0, 0, 2, 2, 3, 1, 3, 0, 1, 3, 4, 3, 0, 1, 4, 0, 0, 3, 2, 4, 1, 4, 2, 0, 0, 2, 2, 0, 1, 4, 0, 2, 4, 0, 2, 3, 0, 3, 3, 0, 2, 3, 2, 4, 2, 3, 0, 0, 0, 2, 0, 0, 1, 4, 2, 1, 4, 1, 2, 4, 1, 2, 0, 2, 1, 4, 0, 3, 0, 0, 2, 3, 1, 1, 4, 3, 2, 1, 3, 4, 2, 3, 1, 3, 2, 1, 2, 1, 4, 1, 1, 4, 3, 3, 3, 4, 3, 4, 0, 2, 3, 3, 1, 0, 2, 2, 0, 3, 0, 2, 0, 0, 1, 2, 1, 1, 4, 2, 2, 0, 4, 2, 1, 2, 3, 4, 0, 2, 3, 3, 4, 3, 2, 0, 0, 2, 1, 3, 3, 2, 1, 1, 1, 2, 3, 0, 4, 0, 2, 4, 3, 0, 0, 2, 0, 1, 0, 4, 2, 1, 4, 4, 1, 2, 2, 3, 0, 4, 3, 0, 1, 1, 0, 0, 3, 2, 2, 0, 4, 0, 1, 2, 2, 3, 3, 4, 3, 2, 2, 3, 2, 0, 0, 1, 4, 4, 0, 4, 0, 1, 3, 1, 4, 1, 1, 0, 2, 1, 2, 2, 2, 2, 3, 4, 1, 2, 4, 1, 1, 3, 2, 0, 1, 0, 4, 3, 1, 1, 4, 2, 1, 3, 2, 3, 0, 2, 1, 4, 2, 4, 2, 1, 3, 0, 4, 2, 4, 2, 1, 3, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 3, 4, 4, 0, 3, 3, 4, 4, 1, 3, 1, 2, 1, 1, 0, 4, 0, 3, 4, 0, 2, 0, 0, 3, 0, 0, 1, 4, 4, 1, 4, 2, 0, 0, 4, 1, 1, 4, 1, 2, 3, 0, 3, 2, 2, 1, 2, 0, 2, 4, 3, 2, 1, 4, 1, 0, 1, 3, 4, 1, 2, 0, 3, 2, 4, 3, 1, 1, 2, 1, 3, 0, 0, 2, 4, 2, 2, 1, 2, 3, 4, 1, 3, 0, 2, 2]
pubkeycol1609 = [1, 3, 1, 0, 1, 3, 2, 3, 3, 0, 0, 0, 0, 2, 4, 1, 0, 0, 4, 4, 4, 4, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 0, 0, 4, 0, 4, 1, 3, 3, 2, 4, 3, 0, 3, 1, 2, 2, 1, 1, 0, 0, 4, 2, 4, 3, 0, 2, 0, 0, 4, 4, 1, 3, 0, 2, 1, 1, 0, 2, 1, 0, 2, 4, 1, 0, 3, 3, 0, 4, 0, 3, 0, 2, 4, 0, 2, 0, 4, 4, 2, 2, 4, 2, 2, 3, 0, 1, 2, 1, 4, 2, 1, 3, 0, 2, 3, 1, 4, 2, 4, 0, 4, 3, 3, 2, 0, 4, 0, 4, 0, 3, 4, 2, 0, 2, 3, 2, 0, 1, 4, 2, 3, 0, 2, 4, 0, 3, 2, 2, 1, 1, 4, 4, 0, 0, 4, 4, 2, 1, 4, 1, 2, 1, 4, 2, 2, 3, 4, 2, 2, 0, 2, 4, 0, 0, 3, 0, 4, 4, 4, 2, 0, 0, 1, 2, 1, 4, 0, 1, 3, 2, 2, 0, 2, 2, 0, 0, 4, 4, 4, 3, 3, 3, 1, 4, 2, 4, 3, 3, 1, 0, 3, 0, 0, 0, 2, 1, 1, 3, 1, 2, 1, 3, 3, 4, 0, 1, 1, 4, 4, 2, 2, 0, 2, 1, 1, 4, 4, 4, 0, 1, 0, 1, 0, 4, 4, 0, 4, 4, 2, 1, 3, 2, 4, 4, 3, 0, 2, 1, 1, 0, 0, 2, 3, 1, 4, 3, 4, 4, 1, 0, 4, 0, 2, 4, 0, 3, 0, 4, 4, 4, 3, 1, 3, 2, 4, 0, 2, 0, 1, 4, 4, 2, 4, 1, 1, 3, 3, 0, 2, 1, 0, 4, 2, 4, 3, 0, 4, 2, 2, 1, 1, 4, 0, 3, 1, 4, 1, 0, 0, 3, 2, 1, 3, 0, 1, 1, 1, 3, 2, 4, 4, 0, 0, 2, 2, 3, 1, 0, 3, 4, 4, 2, 4, 2, 2, 2, 2, 1, 4, 1, 2, 4, 1, 3, 1, 1, 0, 0, 3, 1, 1, 3, 0, 3, 4, 0, 4, 2, 1, 0, 0, 1, 2, 2, 0, 4, 3, 4, 0, 4, 1, 1, 4, 0, 3, 4, 3, 0, 4, 4, 4, 1, 1, 0, 3, 4, 4, 2, 4, 2, 3, 1, 2, 0, 3, 4, 3, 3]
pubkeycol1610 = [3, 4, 1, 4, 1, 4, 2, 3, 4, 4, 3, 0, 1, 4, 4, 3, 3, 1, 4, 4, 2, 2, 4, 4, 0, 2, 4, 4, 2, 3, 1, 3, 1, 0, 2, 3, 1, 3, 3, 2, 3, 1, 4, 0, 3, 3, 3, 4, 2, 4, 0, 4, 1, 2, 1, 0, 2, 3, 3, 4, 1, 3, 1, 3, 1, 2, 0, 1, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 1, 4, 4, 1, 4, 0, 0, 2, 3, 1, 4, 3, 3, 3, 4, 1, 1, 0, 3, 0, 0, 4, 4, 3, 4, 0, 1, 0, 2, 0, 1, 0, 4, 0, 0, 0, 2, 4, 4, 1, 4, 4, 3, 2, 0, 3, 2, 1, 4, 0, 1, 3, 1, 4, 4, 1, 4, 2, 2, 4, 1, 0, 0, 1, 4, 4, 2, 2, 3, 1, 0, 1, 2, 4, 3, 1, 2, 1, 0, 3, 0, 2, 2, 2, 4, 4, 3, 1, 1, 0, 2, 1, 0, 4, 1, 0, 2, 0, 1, 3, 0, 1, 3, 0, 2, 0, 4, 4, 3, 0, 1, 2, 4, 4, 4, 3, 1, 3, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 4, 1, 0, 3, 2, 4, 3, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 3, 3, 4, 2, 3, 2, 4, 2, 3, 0, 4, 0, 0, 1, 0, 2, 0, 2, 4, 4, 0, 1, 4, 1, 3, 4, 2, 3, 4, 4, 4, 1, 0, 0, 3, 1, 2, 3, 1, 2, 1, 1, 2, 1, 4, 3, 2, 2, 1, 2, 1, 1, 4, 0, 3, 1, 2, 0, 3, 1, 0, 4, 0, 0, 3, 1, 0, 3, 4, 2, 3, 2, 2, 1, 0, 0, 4, 2, 2, 4, 1, 4, 2, 4, 1, 4, 4, 1, 2, 1, 3, 2, 3, 2, 0, 1, 1, 4, 0, 3, 3, 1, 3, 4, 4, 0, 3, 1, 2, 2, 3, 4, 2, 0, 0, 4, 4, 2, 0, 2, 3, 1, 2, 1, 0, 4, 0, 2, 4, 3, 4, 3, 3, 3, 0, 2, 3, 3, 3, 1, 1, 1, 2, 1, 2, 3, 2, 1, 3, 3, 1, 3, 0, 0, 1, 3, 4, 4, 0, 0, 3, 1]
pubkeycol1611 = [3, 1, 4, 1, 1, 0, 4, 1, 4, 2, 1, 2, 4, 3, 0, 1, 1, 1, 1, 2, 0, 2, 1, 3, 4, 2, 0, 2, 2, 1, 4, 0, 3, 1, 3, 0, 0, 4, 1, 2, 1, 4, 0, 1, 3, 4, 0, 1, 4, 4, 0, 4, 1, 1, 4, 4, 1, 4, 4, 0, 3, 3, 0, 0, 4, 0, 1, 0, 4, 4, 4, 3, 4, 1, 4, 2, 4, 1, 2, 0, 1, 1, 3, 1, 2, 2, 0, 0, 1, 4, 0, 4, 1, 0, 0, 3, 3, 0, 3, 4, 1, 1, 3, 2, 2, 0, 4, 3, 0, 3, 4, 4, 1, 1, 1, 4, 3, 4, 2, 1, 2, 4, 0, 4, 1, 2, 0, 2, 3, 4, 3, 0, 4, 4, 3, 1, 2, 2, 3, 1, 1, 2, 0, 0, 2, 1, 1, 4, 2, 1, 0, 0, 1, 2, 3, 3, 4, 4, 2, 1, 1, 2, 0, 4, 3, 3, 3, 3, 3, 4, 4, 1, 2, 1, 4, 1, 3, 1, 1, 2, 4, 4, 4, 0, 2, 3, 0, 3, 0, 2, 1, 1, 2, 0, 3, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 4, 3, 4, 4, 3, 0, 3, 1, 3, 0, 0, 4, 2, 3, 2, 3, 2, 0, 4, 0, 2, 1, 2, 1, 1, 3, 0, 0, 0, 0, 3, 1, 0, 4, 1, 2, 4, 0, 3, 2, 4, 2, 4, 1, 2, 3, 4, 3, 0, 0, 4, 3, 3, 4, 2, 2, 0, 4, 1, 1, 1, 0, 2, 1, 1, 4, 0, 1, 2, 0, 3, 4, 3, 4, 1, 3, 0, 4, 1, 3, 4, 2, 3, 3, 4, 2, 4, 3, 1, 1, 0, 4, 1, 1, 0, 3, 3, 2, 1, 4, 1, 3, 0, 3, 2, 0, 2, 1, 3, 3, 0, 4, 0, 2, 0, 0, 0, 2, 3, 3, 3, 4, 2, 0, 4, 4, 0, 4, 2, 4, 0, 1, 2, 0, 0, 0, 1, 3, 1, 0, 3, 3, 0, 0, 4, 4, 1, 3, 2, 3, 4, 2, 3, 2, 0, 3, 0, 4, 0, 4, 4, 3, 3, 4, 0, 1, 2, 1, 2, 4, 4, 3, 3, 2, 3, 4, 0, 0, 3, 4, 2, 4, 0, 4, 1, 4, 2, 3, 3, 4, 1, 4, 1, 4, 1]
pubkeycol1612 = [2, 3, 4, 0, 3, 4, 0, 2, 3, 0, 2, 3, 3, 2, 3, 0, 1, 4, 4, 1, 0, 4, 3, 2, 2, 2, 3, 4, 1, 1, 2, 2, 4, 0, 0, 0, 0, 1, 0, 4, 1, 3, 1, 0, 4, 2, 2, 3, 4, 4, 1, 0, 1, 4, 4, 3, 1, 3, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 0, 2, 0, 0, 2, 1, 1, 1, 4, 4, 3, 0, 1, 0, 4, 0, 4, 4, 0, 2, 3, 2, 3, 4, 1, 3, 0, 2, 1, 1, 0, 0, 4, 4, 4, 0, 3, 0, 1, 3, 3, 3, 3, 3, 0, 0, 4, 4, 0, 1, 0, 4, 3, 2, 0, 2, 1, 1, 3, 0, 3, 0, 4, 0, 1, 3, 4, 0, 3, 0, 3, 0, 1, 0, 2, 4, 1, 4, 2, 1, 3, 0, 1, 0, 1, 4, 4, 4, 0, 0, 2, 3, 1, 3, 3, 2, 0, 0, 0, 4, 3, 1, 4, 3, 0, 4, 0, 1, 4, 3, 2, 2, 4, 0, 4, 0, 4, 4, 2, 4, 0, 0, 0, 4, 4, 4, 4, 3, 1, 0, 1, 1, 3, 1, 3, 2, 3, 2, 3, 1, 4, 4, 1, 4, 4, 4, 3, 0, 1, 4, 3, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 4, 1, 3, 1, 1, 3, 4, 3, 3, 3, 1, 0, 4, 1, 2, 0, 0, 4, 4, 2, 3, 4, 4, 0, 1, 3, 3, 2, 2, 1, 3, 4, 0, 3, 2, 2, 3, 1, 4, 0, 1, 4, 1, 0, 4, 4, 0, 0, 1, 2, 1, 4, 3, 3, 2, 3, 0, 0, 1, 2, 0, 0, 3, 3, 2, 4, 3, 1, 1, 1, 1, 0, 1, 4, 1, 3, 4, 1, 4, 1, 4, 1, 2, 1, 2, 0, 1, 0, 2, 4, 0, 4, 3, 1, 4, 4, 0, 4, 0, 0, 2, 4, 0, 2, 2, 2, 4, 0, 1, 1, 3, 2, 4, 1, 1, 0, 3, 4, 3, 0, 0, 2, 2, 0, 3, 2, 2, 1, 2, 1, 4, 1, 4, 1, 4, 4, 0, 0, 1, 0, 0, 4, 1, 2, 3, 3, 4, 0, 3, 0, 0, 0, 4, 1, 3, 1, 3, 0, 3, 1, 2, 3, 2, 2, 3, 4, 0, 0, 1, 0]
pubkeycol1613 = [3, 3, 2, 0, 4, 4, 0, 4, 1, 2, 4, 4, 2, 3, 4, 1, 1, 1, 1, 2, 3, 1, 4, 3, 2, 1, 2, 2, 3, 2, 2, 2, 4, 3, 4, 1, 4, 2, 2, 4, 0, 4, 3, 0, 1, 1, 0, 1, 3, 3, 3, 1, 3, 3, 4, 1, 1, 3, 4, 2, 2, 2, 4, 4, 1, 1, 0, 3, 4, 0, 3, 3, 0, 2, 4, 2, 2, 4, 3, 1, 0, 2, 2, 3, 0, 2, 2, 2, 0, 3, 3, 0, 0, 3, 2, 0, 4, 4, 1, 0, 2, 3, 3, 4, 2, 2, 2, 0, 1, 4, 1, 2, 0, 0, 0, 4, 4, 0, 1, 2, 4, 4, 4, 1, 0, 4, 4, 3, 3, 4, 0, 2, 3, 2, 4, 0, 4, 3, 0, 2, 3, 3, 1, 4, 4, 3, 0, 2, 0, 3, 0, 2, 1, 2, 4, 1, 0, 4, 0, 0, 1, 4, 0, 3, 2, 3, 0, 4, 2, 1, 4, 4, 3, 1, 1, 2, 2, 1, 3, 4, 2, 4, 4, 4, 3, 4, 2, 4, 1, 0, 0, 0, 2, 3, 0, 2, 4, 2, 4, 2, 0, 3, 1, 3, 4, 2, 4, 3, 4, 0, 1, 4, 4, 3, 0, 1, 2, 3, 4, 4, 0, 0, 4, 0, 3, 2, 4, 1, 0, 4, 1, 4, 3, 1, 1, 2, 1, 1, 3, 0, 4, 4, 0, 2, 2, 1, 4, 1, 1, 2, 0, 1, 1, 3, 0, 2, 3, 4, 2, 3, 1, 1, 0, 4, 3, 3, 3, 1, 0, 3, 2, 0, 3, 0, 3, 4, 3, 1, 4, 4, 0, 3, 3, 4, 1, 3, 2, 1, 4, 3, 2, 4, 0, 4, 1, 2, 3, 4, 4, 3, 4, 3, 0, 3, 2, 2, 4, 1, 2, 2, 0, 0, 4, 4, 1, 2, 1, 0, 3, 4, 2, 4, 3, 2, 0, 4, 2, 2, 4, 2, 1, 1, 2, 2, 1, 1, 4, 4, 2, 2, 0, 4, 1, 2, 1, 3, 4, 2, 4, 0, 4, 3, 2, 2, 0, 2, 4, 1, 1, 0, 1, 0, 4, 4, 0, 2, 4, 4, 2, 4, 3, 3, 1, 1, 3, 3, 0, 4, 4, 0, 2, 3, 4, 0, 4, 0, 2, 3, 2, 2, 4, 0, 0, 3, 4, 2, 4, 0, 0, 3]
pubkeycol1614 = [2, 3, 2, 0, 2, 2, 2, 1, 0, 1, 4, 1, 0, 3, 2, 2, 4, 3, 3, 3, 2, 0, 0, 2, 1, 3, 0, 0, 3, 0, 3, 0, 2, 1, 2, 4, 3, 2, 3, 4, 2, 0, 4, 0, 2, 1, 3, 4, 1, 2, 1, 2, 0, 0, 2, 0, 2, 4, 3, 0, 1, 4, 3, 4, 1, 4, 0, 1, 1, 1, 0, 3, 2, 4, 3, 3, 2, 4, 4, 2, 1, 4, 4, 3, 2, 2, 3, 3, 0, 2, 4, 1, 2, 2, 1, 3, 0, 2, 0, 1, 2, 3, 1, 2, 0, 0, 2, 2, 3, 4, 3, 0, 4, 2, 3, 3, 1, 2, 0, 2, 2, 3, 1, 3, 0, 0, 3, 2, 3, 0, 0, 0, 1, 1, 3, 1, 4, 4, 3, 2, 1, 4, 4, 1, 4, 0, 2, 0, 0, 3, 1, 0, 4, 3, 3, 2, 4, 4, 3, 4, 4, 2, 1, 2, 4, 2, 0, 2, 3, 3, 2, 4, 2, 3, 3, 1, 3, 4, 1, 2, 4, 3, 0, 3, 0, 3, 4, 0, 4, 2, 2, 4, 4, 0, 1, 4, 4, 1, 3, 4, 0, 1, 4, 4, 1, 2, 1, 1, 1, 1, 3, 3, 4, 3, 0, 3, 3, 1, 3, 4, 1, 4, 4, 1, 0, 4, 2, 0, 0, 3, 2, 2, 4, 3, 1, 2, 0, 1, 1, 3, 2, 1, 4, 4, 4, 1, 3, 3, 2, 2, 4, 4, 0, 3, 1, 0, 0, 4, 3, 4, 3, 4, 3, 2, 0, 3, 4, 2, 1, 1, 0, 4, 4, 4, 1, 1, 1, 3, 1, 3, 2, 1, 0, 1, 0, 1, 0, 3, 3, 3, 1, 1, 1, 0, 2, 1, 2, 1, 1, 4, 4, 4, 1, 3, 1, 4, 1, 3, 4, 4, 1, 2, 2, 2, 2, 3, 4, 3, 1, 2, 3, 0, 2, 0, 3, 0, 2, 3, 0, 4, 2, 2, 3, 4, 2, 0, 2, 3, 1, 3, 2, 1, 2, 0, 3, 4, 2, 1, 4, 0, 0, 2, 1, 2, 1, 2, 4, 1, 2, 2, 4, 4, 3, 4, 3, 0, 4, 1, 1, 1, 3, 4, 1, 2, 0, 2, 2, 3, 3, 1, 2, 0, 0, 3, 2, 0, 3, 4, 2, 4, 2, 1, 1, 4, 4, 2, 0, 3, 4, 0]
pubkeycol1615 = [3, 0, 1, 4, 1, 4, 4, 3, 4, 1, 2, 4, 3, 4, 0, 3, 3, 0, 4, 1, 2, 1, 1, 0, 4, 3, 4, 3, 1, 2, 4, 1, 1, 3, 1, 2, 3, 2, 3, 2, 2, 1, 4, 2, 0, 1, 2, 4, 4, 3, 4, 1, 1, 1, 2, 0, 2, 4, 0, 1, 2, 1, 4, 2, 0, 4, 4, 1, 3, 3, 1, 4, 2, 4, 4, 1, 4, 4, 4, 3, 4, 4, 2, 0, 3, 2, 4, 1, 0, 3, 3, 2, 1, 4, 0, 4, 2, 0, 1, 0, 3, 0, 1, 1, 2, 1, 3, 4, 4, 1, 3, 3, 4, 3, 3, 3, 0, 0, 0, 0, 3, 4, 2, 4, 3, 4, 2, 3, 1, 0, 0, 2, 0, 3, 1, 0, 0, 4, 1, 1, 3, 3, 0, 2, 0, 3, 1, 2, 2, 4, 0, 2, 1, 1, 1, 2, 3, 3, 4, 3, 0, 3, 1, 1, 2, 4, 3, 1, 2, 4, 2, 2, 4, 2, 4, 3, 0, 0, 4, 2, 0, 3, 4, 4, 4, 2, 2, 0, 4, 3, 2, 0, 0, 4, 4, 4, 1, 1, 2, 1, 2, 3, 0, 0, 0, 0, 3, 2, 3, 1, 0, 2, 4, 0, 1, 0, 2, 0, 1, 1, 4, 2, 4, 0, 0, 4, 3, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 4, 1, 0, 2, 2, 1, 2, 0, 2, 4, 4, 2, 0, 4, 1, 0, 0, 4, 1, 4, 1, 3, 0, 3, 1, 3, 3, 0, 0, 3, 2, 1, 1, 4, 2, 0, 4, 2, 4, 0, 4, 2, 1, 4, 0, 0, 2, 4, 2, 0, 4, 0, 3, 3, 0, 1, 3, 1, 1, 1, 1, 2, 3, 2, 4, 3, 4, 4, 1, 4, 0, 1, 2, 1, 3, 1, 2, 4, 4, 0, 2, 2, 3, 4, 4, 0, 0, 3, 2, 0, 1, 0, 4, 1, 2, 0, 2, 2, 1, 4, 2, 1, 2, 4, 3, 0, 1, 2, 3, 3, 4, 0, 4, 3, 3, 4, 1, 0, 4, 1, 0, 4, 3, 4, 1, 4, 0, 0, 3, 2, 1, 2, 4, 1, 4, 3, 2, 3, 2, 4, 1, 3, 0, 3, 2, 3, 1, 4, 2, 4, 2, 1, 0, 2, 4, 4, 1, 4, 1, 0, 3]
pubkeycol1616 = [2, 2, 4, 1, 1, 1, 2, 0, 0, 4, 0, 2, 0, 2, 1, 0, 1, 1, 3, 4, 4, 0, 4, 2, 4, 3, 1, 0, 2, 3, 3, 0, 1, 1, 2, 3, 4, 4, 3, 1, 1, 3, 2, 2, 0, 3, 4, 3, 4, 4, 2, 3, 4, 3, 2, 0, 0, 1, 1, 1, 1, 0, 2, 4, 1, 1, 4, 0, 1, 2, 3, 3, 3, 1, 3, 2, 1, 1, 1, 4, 2, 0, 1, 2, 2, 3, 3, 3, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 4, 3, 3, 4, 2, 0, 4, 2, 2, 2, 3, 2, 3, 2, 4, 1, 1, 4, 4, 3, 3, 2, 4, 4, 0, 3, 2, 3, 0, 4, 2, 3, 4, 4, 3, 3, 0, 4, 4, 3, 0, 2, 2, 3, 0, 1, 1, 1, 3, 0, 4, 0, 3, 0, 4, 1, 2, 3, 3, 4, 1, 3, 2, 3, 4, 0, 4, 3, 1, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 1, 1, 1, 2, 0, 4, 4, 3, 1, 3, 1, 4, 3, 4, 2, 1, 0, 1, 0, 0, 3, 1, 1, 0, 1, 3, 4, 4, 3, 3, 4, 4, 1, 3, 1, 2, 0, 1, 0, 0, 2, 2, 4, 3, 2, 0, 4, 3, 0, 2, 3, 1, 3, 1, 4, 3, 1, 1, 4, 3, 3, 4, 2, 4, 2, 3, 4, 1, 0, 1, 3, 2, 3, 0, 4, 3, 0, 4, 0, 1, 4, 4, 0, 1, 3, 1, 0, 4, 3, 0, 4, 4, 1, 0, 4, 3, 4, 2, 3, 4, 3, 3, 1, 0, 1, 1, 3, 2, 1, 0, 3, 0, 2, 1, 4, 1, 1, 2, 2, 2, 1, 3, 3, 1, 0, 2, 2, 2, 2, 3, 0, 0, 1, 1, 3, 2, 4, 2, 0, 2, 3, 2, 2, 0, 3, 1, 2, 2, 3, 1, 3, 1, 2, 4, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 0, 3, 0, 4, 0, 1, 2, 0, 1, 1, 0, 0, 4, 3, 0, 0, 1, 1, 1, 2, 3, 4, 0, 0, 2, 1, 1, 1, 4, 0, 4, 3, 4, 4, 1, 2, 4, 0, 4, 0, 4, 2, 3, 0, 0, 1, 2, 1, 3, 2, 3, 2, 0, 2, 4, 3, 0, 1, 4]
pubkeycol1617 = [2, 0, 1, 4, 2, 1, 2, 3, 4, 1, 4, 3, 1, 2, 2, 2, 3, 1, 1, 4, 3, 4, 0, 1, 4, 2, 2, 4, 2, 4, 2, 0, 1, 0, 4, 2, 4, 2, 1, 2, 0, 3, 4, 1, 2, 1, 4, 2, 4, 3, 1, 1, 2, 1, 1, 0, 4, 3, 3, 4, 1, 2, 0, 4, 0, 4, 2, 3, 3, 4, 2, 3, 0, 2, 4, 2, 1, 4, 3, 0, 1, 1, 1, 4, 0, 0, 3, 2, 0, 3, 2, 3, 4, 3, 0, 2, 3, 3, 3, 2, 1, 1, 0, 0, 4, 4, 2, 0, 3, 4, 3, 1, 0, 4, 1, 4, 1, 0, 2, 1, 2, 3, 4, 3, 2, 1, 0, 2, 1, 2, 4, 4, 4, 0, 0, 0, 4, 0, 4, 3, 0, 3, 3, 1, 2, 1, 0, 1, 0, 4, 2, 1, 3, 0, 3, 1, 4, 2, 4, 3, 3, 3, 1, 3, 4, 2, 3, 4, 1, 0, 4, 2, 1, 4, 3, 4, 2, 4, 1, 0, 3, 2, 0, 4, 4, 4, 4, 3, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 3, 4, 1, 1, 1, 2, 1, 4, 4, 4, 2, 0, 4, 4, 4, 1, 3, 4, 1, 3, 1, 3, 0, 4, 2, 2, 2, 4, 4, 0, 1, 4, 0, 1, 0, 2, 0, 4, 0, 0, 3, 1, 4, 1, 1, 3, 4, 2, 4, 0, 3, 3, 2, 2, 4, 4, 1, 0, 3, 2, 4, 1, 3, 1, 3, 1, 4, 3, 2, 2, 2, 3, 3, 0, 4, 3, 4, 1, 0, 4, 2, 3, 1, 4, 4, 0, 0, 0, 3, 4, 3, 4, 2, 2, 3, 1, 3, 1, 2, 1, 2, 1, 3, 1, 3, 3, 3, 0, 2, 3, 3, 4, 1, 0, 3, 1, 2, 2, 1, 2, 1, 0, 1, 3, 2, 4, 3, 2, 3, 2, 3, 2, 0, 3, 4, 2, 1, 1, 2, 1, 0, 4, 1, 4, 4, 2, 3, 1, 2, 3, 3, 3, 4, 4, 3, 2, 3, 0, 4, 1, 1, 2, 3, 0, 1, 3, 1, 2, 2, 0, 3, 4, 1, 0, 3, 3, 1, 3, 4, 3, 4, 0, 0, 2, 1, 0, 2, 3, 3, 1, 1, 2, 0, 2, 4, 3, 0, 2, 1, 2, 4, 0]
pubkeycol1618 = [1, 4, 1, 3, 3, 2, 2, 2, 1, 1, 4, 2, 1, 2, 2, 2, 4, 0, 2, 2, 2, 2, 0, 3, 1, 0, 0, 4, 2, 3, 4, 4, 1, 2, 2, 3, 3, 0, 2, 1, 3, 1, 3, 0, 4, 1, 2, 3, 1, 1, 2, 1, 1, 4, 2, 2, 3, 3, 0, 2, 3, 3, 1, 2, 1, 3, 0, 3, 1, 2, 1, 4, 2, 4, 0, 4, 4, 1, 3, 3, 4, 1, 0, 0, 4, 1, 4, 0, 2, 3, 4, 2, 2, 0, 2, 0, 4, 1, 3, 2, 3, 1, 2, 1, 2, 3, 2, 1, 1, 1, 0, 4, 0, 1, 4, 2, 2, 0, 0, 2, 0, 0, 4, 3, 0, 3, 4, 2, 3, 4, 1, 3, 3, 2, 2, 0, 1, 2, 0, 2, 0, 3, 2, 0, 1, 4, 3, 4, 4, 0, 4, 4, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 3, 4, 3, 4, 3, 0, 0, 0, 4, 1, 2, 1, 0, 1, 0, 2, 4, 1, 4, 3, 4, 4, 4, 2, 0, 1, 0, 2, 4, 4, 3, 4, 1, 0, 0, 4, 0, 1, 1, 0, 0, 0, 4, 1, 1, 3, 3, 1, 3, 3, 0, 4, 4, 1, 4, 3, 4, 2, 4, 4, 2, 4, 0, 0, 3, 3, 0, 3, 2, 4, 0, 3, 3, 2, 2, 2, 4, 4, 0, 1, 1, 2, 1, 3, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 3, 4, 2, 3, 2, 1, 0, 0, 0, 0, 4, 2, 0, 0, 2, 1, 3, 1, 1, 3, 2, 3, 4, 2, 4, 4, 1, 2, 2, 3, 1, 0, 3, 4, 0, 2, 0, 1, 1, 0, 4, 1, 3, 1, 3, 0, 2, 2, 3, 3, 0, 2, 0, 4, 0, 3, 4, 4, 1, 1, 3, 2, 0, 0, 0, 4, 2, 2, 1, 3, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 3, 2, 3, 3, 2, 3, 4, 3, 1, 0, 4, 3, 3, 2, 0, 1, 4, 3, 4, 3, 4, 3, 3, 2, 3, 1, 3, 1, 1, 2, 4, 4, 1, 3, 0, 0, 2, 1, 2, 4, 0, 1, 3, 1, 0, 2, 3, 1, 2, 0, 3, 4, 2, 3, 2, 4, 4, 1, 0, 0, 0, 4]
pubkeycol1619 = [0, 0, 2, 1, 0, 3, 2, 4, 2, 3, 0, 2, 2, 4, 2, 2, 2, 1, 2, 1, 1, 3, 3, 1, 3, 3, 1, 0, 2, 3, 2, 1, 2, 0, 0, 0, 4, 3, 1, 4, 0, 2, 0, 4, 0, 0, 3, 1, 0, 4, 0, 4, 3, 2, 0, 3, 3, 4, 2, 3, 4, 1, 0, 2, 1, 1, 1, 4, 4, 4, 0, 1, 0, 0, 0, 3, 3, 1, 4, 1, 2, 3, 4, 2, 0, 2, 0, 1, 4, 0, 0, 2, 4, 1, 3, 2, 1, 4, 2, 4, 2, 2, 4, 4, 1, 1, 0, 4, 0, 3, 4, 4, 1, 4, 0, 3, 3, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 4, 4, 1, 4, 4, 2, 4, 4, 0, 2, 4, 2, 0, 0, 0, 3, 4, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 3, 4, 2, 4, 2, 2, 1, 4, 1, 2, 3, 1, 3, 1, 4, 4, 0, 1, 0, 0, 1, 3, 2, 1, 0, 3, 3, 2, 0, 0, 0, 1, 4, 1, 1, 1, 3, 1, 3, 4, 2, 0, 2, 2, 3, 3, 4, 3, 4, 0, 4, 1, 3, 3, 0, 4, 4, 1, 3, 0, 2, 1, 1, 2, 0, 3, 0, 4, 0, 1, 0, 3, 4, 2, 3, 0, 4, 1, 4, 2, 0, 0, 0, 0, 0, 0, 3, 2, 4, 2, 2, 3, 0, 4, 3, 3, 1, 0, 1, 2, 3, 0, 0, 0, 4, 0, 4, 1, 0, 4, 2, 3, 1, 2, 2, 3, 1, 0, 3, 2, 0, 1, 2, 4, 0, 0, 1, 1, 2, 0, 1, 0, 4, 3, 3, 4, 1, 1, 3, 2, 0, 1, 3, 2, 4, 0, 1, 0, 0, 2, 4, 0, 4, 3, 1, 4, 0, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 3, 4, 2, 3, 3, 4, 4, 3, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 3, 0, 1, 0, 0, 2, 0, 0, 3, 2, 0, 4, 2, 1, 4, 1, 4, 2, 0, 3, 0, 2, 0, 0, 4, 1, 4, 4, 1, 2, 1, 2, 4, 4, 4, 2, 0, 3, 0, 4, 2, 2, 0, 3, 3, 3, 0, 4, 0, 2, 3, 2, 1, 2, 1]
pubkeycol1620 = [2, 0, 0, 3, 3, 0, 3, 1, 3, 4, 2, 3, 4, 0, 3, 4, 3, 4, 1, 2, 3, 4, 0, 4, 0, 0, 4, 1, 4, 3, 4, 4, 0, 0, 2, 3, 4, 1, 1, 3, 2, 1, 3, 0, 2, 3, 3, 3, 3, 4, 0, 0, 1, 3, 2, 0, 2, 4, 0, 2, 3, 3, 2, 3, 4, 2, 4, 4, 4, 2, 1, 3, 4, 4, 0, 0, 3, 4, 3, 4, 1, 0, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 0, 3, 1, 4, 0, 3, 1, 1, 3, 4, 3, 3, 3, 0, 1, 2, 2, 3, 2, 3, 4, 1, 0, 3, 2, 4, 3, 1, 1, 2, 0, 0, 0, 0, 0, 2, 3, 4, 2, 0, 4, 0, 0, 3, 3, 4, 4, 0, 4, 3, 0, 2, 0, 1, 4, 2, 4, 1, 3, 2, 4, 0, 1, 4, 0, 2, 2, 4, 2, 1, 4, 0, 1, 1, 4, 2, 0, 1, 3, 4, 2, 1, 4, 2, 2, 0, 1, 4, 2, 3, 3, 1, 4, 0, 4, 1, 2, 4, 3, 0, 4, 1, 1, 0, 1, 3, 1, 2, 0, 0, 4, 4, 3, 3, 2, 0, 1, 4, 3, 1, 3, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 3, 3, 1, 3, 3, 4, 4, 3, 2, 0, 4, 0, 3, 0, 2, 0, 1, 2, 0, 2, 3, 0, 1, 3, 2, 2, 4, 1, 2, 0, 1, 1, 0, 1, 4, 2, 1, 3, 4, 0, 3, 2, 3, 0, 2, 4, 2, 3, 2, 1, 3, 1, 1, 0, 3, 2, 2, 0, 0, 3, 4, 2, 3, 1, 3, 4, 4, 3, 4, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 3, 3, 0, 0, 1, 3, 1, 3, 4, 4, 3, 2, 1, 2, 2, 2, 0, 3, 3, 4, 2, 2, 4, 0, 1, 4, 0, 2, 2, 0, 1, 3, 0, 3, 0, 0, 1, 4, 2, 3, 0, 4, 4, 4, 1, 3, 3, 2, 3, 1, 2, 3, 2, 0, 3, 0, 0, 3, 3, 2, 0, 0, 1, 1, 3, 3, 0, 1, 3, 2, 4, 3, 0, 4, 1, 1, 0, 0, 0, 0, 0, 3, 2, 0, 3, 1, 4, 4, 3, 3, 4, 0, 3, 2]
pubkeycol1621 = [0, 1, 3, 4, 2, 1, 0, 0, 2, 3, 4, 3, 1, 0, 4, 1, 4, 3, 1, 2, 4, 0, 4, 0, 4, 4, 4, 1, 0, 3, 4, 0, 4, 0, 2, 0, 0, 0, 4, 3, 2, 4, 0, 1, 4, 4, 2, 1, 3, 3, 0, 0, 3, 2, 2, 4, 3, 0, 0, 4, 2, 2, 4, 4, 2, 2, 4, 3, 0, 1, 3, 2, 4, 0, 2, 3, 3, 1, 0, 0, 0, 4, 3, 0, 2, 3, 4, 3, 1, 3, 2, 3, 3, 4, 1, 4, 1, 2, 2, 4, 0, 3, 0, 3, 1, 1, 3, 4, 2, 4, 2, 2, 3, 3, 4, 3, 0, 1, 0, 3, 3, 0, 4, 1, 0, 0, 1, 1, 3, 2, 2, 3, 1, 1, 3, 1, 3, 0, 0, 0, 1, 2, 3, 2, 0, 3, 2, 4, 1, 2, 1, 2, 4, 3, 4, 4, 4, 1, 3, 4, 4, 3, 3, 4, 2, 4, 0, 3, 3, 4, 3, 1, 1, 2, 4, 2, 4, 0, 3, 2, 4, 0, 1, 3, 1, 0, 1, 4, 4, 0, 0, 4, 4, 1, 0, 0, 1, 3, 4, 1, 4, 3, 3, 0, 2, 0, 2, 1, 1, 1, 2, 3, 4, 4, 3, 0, 1, 1, 4, 3, 4, 0, 2, 1, 1, 3, 0, 4, 0, 0, 4, 0, 4, 1, 4, 0, 4, 1, 1, 2, 3, 3, 0, 3, 0, 1, 4, 0, 2, 1, 3, 2, 0, 1, 1, 0, 3, 3, 3, 4, 0, 3, 0, 3, 4, 2, 4, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 2, 1, 2, 0, 3, 0, 0, 0, 0, 4, 3, 2, 1, 0, 1, 0, 1, 4, 2, 0, 2, 4, 1, 1, 3, 1, 0, 0, 1, 2, 2, 1, 2, 2, 3, 3, 3, 2, 4, 3, 0, 1, 3, 1, 2, 3, 2, 3, 4, 3, 1, 2, 1, 1, 2, 3, 1, 0, 3, 4, 4, 3, 2, 1, 4, 1, 1, 1, 1, 4, 4, 2, 1, 2, 0, 4, 0, 2, 3, 2, 3, 0, 4, 4, 1, 3, 3, 2, 3, 4, 2, 4, 3, 3, 2, 0, 1, 4, 4, 3, 0, 0, 3, 4, 3, 0, 4, 3, 1, 1, 1, 1, 2, 4, 4, 0, 2, 2, 2, 3, 1, 3, 0]
pubkeycol1622 = [1, 0, 3, 4, 2, 4, 3, 4, 1, 1, 1, 0, 4, 1, 1, 4, 4, 0, 1, 2, 0, 4, 1, 3, 4, 0, 0, 4, 3, 1, 1, 0, 0, 2, 1, 4, 3, 0, 4, 1, 1, 4, 3, 0, 3, 0, 4, 0, 1, 2, 4, 2, 2, 3, 3, 0, 1, 4, 0, 2, 3, 1, 1, 3, 0, 3, 2, 1, 3, 4, 0, 2, 0, 1, 1, 3, 1, 1, 2, 1, 2, 0, 2, 1, 2, 4, 2, 0, 3, 2, 1, 0, 0, 2, 3, 0, 0, 4, 0, 4, 4, 0, 4, 1, 0, 4, 0, 2, 0, 1, 4, 2, 1, 3, 3, 1, 1, 1, 1, 1, 0, 4, 2, 1, 3, 0, 0, 1, 3, 4, 0, 3, 1, 4, 2, 1, 4, 0, 3, 2, 3, 1, 2, 0, 1, 3, 3, 2, 1, 1, 4, 3, 3, 1, 3, 0, 1, 4, 4, 3, 4, 0, 3, 4, 4, 4, 1, 3, 4, 2, 4, 4, 2, 0, 4, 4, 1, 4, 3, 3, 2, 2, 1, 3, 2, 4, 4, 4, 3, 0, 4, 4, 1, 4, 0, 1, 0, 0, 1, 4, 4, 4, 0, 4, 2, 3, 2, 2, 4, 1, 4, 2, 2, 0, 2, 1, 4, 2, 1, 0, 3, 3, 2, 1, 2, 3, 1, 2, 0, 4, 4, 4, 2, 1, 2, 0, 1, 2, 1, 0, 3, 4, 4, 4, 0, 0, 0, 4, 4, 2, 0, 2, 0, 0, 1, 4, 2, 3, 2, 0, 0, 4, 1, 4, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 4, 2, 4, 2, 2, 2, 4, 4, 3, 1, 1, 4, 0, 2, 1, 2, 4, 4, 1, 3, 0, 0, 4, 0, 2, 1, 4, 2, 3, 0, 4, 4, 2, 3, 3, 0, 3, 1, 3, 3, 1, 2, 4, 0, 2, 4, 4, 4, 0, 4, 3, 1, 1, 1, 4, 2, 0, 2, 4, 1, 0, 4, 0, 1, 4, 4, 2, 2, 4, 3, 3, 1, 0, 4, 1, 4, 1, 3, 3, 3, 3, 1, 2, 2, 4, 0, 3, 4, 1, 2, 1, 2, 4, 1, 1, 1, 1, 2, 2, 4, 4, 3, 1, 1, 1, 4, 4, 1, 3, 3, 1, 2, 4, 3, 2, 0, 0, 4, 4, 4, 1, 4, 1, 3, 3, 2]
pubkeycol1623 = [4, 2, 2, 1, 0, 4, 2, 0, 2, 2, 3, 0, 3, 4, 3, 2, 1, 2, 4, 0, 0, 2, 3, 3, 1, 3, 2, 2, 4, 1, 4, 0, 3, 3, 4, 4, 2, 4, 0, 1, 4, 2, 2, 0, 2, 4, 0, 0, 3, 1, 3, 3, 0, 1, 3, 1, 0, 3, 0, 0, 2, 4, 0, 1, 1, 3, 2, 1, 2, 1, 1, 1, 3, 2, 2, 4, 2, 0, 4, 1, 2, 1, 0, 4, 0, 2, 1, 2, 4, 2, 4, 1, 2, 3, 0, 1, 2, 1, 4, 1, 3, 0, 1, 0, 4, 2, 1, 0, 0, 4, 1, 0, 0, 1, 4, 2, 1, 2, 0, 0, 3, 4, 1, 1, 4, 0, 0, 4, 2, 4, 0, 2, 1, 3, 3, 1, 2, 4, 3, 2, 0, 2, 1, 2, 0, 3, 4, 3, 2, 2, 1, 3, 3, 4, 0, 3, 3, 3, 0, 0, 4, 2, 1, 2, 3, 2, 3, 1, 0, 0, 1, 4, 3, 3, 0, 0, 2, 4, 0, 1, 0, 3, 3, 3, 1, 1, 3, 3, 0, 1, 1, 4, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 4, 0, 1, 3, 3, 2, 4, 0, 3, 4, 4, 1, 3, 0, 1, 4, 0, 0, 1, 0, 3, 2, 1, 3, 3, 1, 3, 1, 0, 0, 4, 1, 4, 1, 2, 1, 0, 2, 3, 0, 0, 3, 1, 1, 3, 4, 4, 4, 0, 4, 0, 3, 4, 4, 0, 1, 0, 0, 3, 4, 4, 1, 0, 4, 3, 2, 4, 1, 0, 4, 2, 1, 4, 0, 3, 1, 2, 3, 0, 2, 1, 2, 2, 3, 3, 3, 2, 1, 4, 2, 3, 1, 0, 0, 0, 2, 1, 4, 2, 3, 4, 1, 2, 4, 3, 3, 0, 0, 3, 3, 2, 2, 1, 3, 2, 4, 3, 1, 3, 4, 4, 0, 2, 3, 4, 1, 2, 4, 2, 4, 1, 0, 2, 2, 2, 4, 2, 0, 3, 2, 0, 3, 3, 4, 3, 0, 3, 1, 0, 1, 4, 2, 2, 0, 0, 2, 4, 1, 2, 1, 3, 2, 2, 4, 1, 3, 4, 4, 3, 3, 1, 3, 0, 1, 2, 4, 2, 4, 4, 2, 2, 2, 1, 3, 4, 4, 3, 3, 0, 2, 2, 3, 0, 4, 4, 1, 1, 4]
pubkeycol1624 = [4, 4, 2, 0, 4, 3, 4, 0, 0, 0, 2, 1, 2, 4, 3, 2, 3, 4, 1, 4, 3, 0, 4, 0, 3, 1, 2, 1, 4, 2, 3, 4, 3, 4, 1, 2, 0, 4, 0, 3, 1, 3, 4, 0, 1, 0, 0, 1, 2, 1, 3, 2, 4, 2, 1, 4, 0, 2, 0, 2, 2, 2, 4, 1, 2, 0, 3, 2, 3, 1, 4, 2, 2, 0, 1, 1, 4, 1, 4, 1, 0, 0, 3, 4, 2, 2, 1, 2, 3, 2, 4, 1, 1, 1, 2, 1, 3, 4, 4, 3, 2, 1, 0, 4, 2, 3, 2, 3, 0, 2, 2, 4, 2, 3, 4, 4, 0, 2, 1, 4, 4, 3, 2, 3, 4, 4, 1, 2, 4, 0, 1, 2, 2, 3, 3, 3, 0, 1, 3, 0, 1, 2, 2, 1, 0, 2, 2, 4, 2, 2, 4, 0, 1, 4, 0, 0, 2, 1, 0, 0, 2, 4, 4, 1, 2, 4, 3, 4, 2, 0, 0, 1, 4, 1, 1, 2, 1, 3, 4, 4, 2, 1, 1, 3, 0, 0, 0, 2, 4, 4, 3, 4, 3, 4, 3, 2, 1, 0, 1, 2, 1, 1, 3, 4, 3, 2, 4, 1, 3, 4, 0, 1, 0, 0, 0, 0, 2, 4, 3, 3, 3, 3, 4, 3, 1, 0, 1, 4, 3, 0, 0, 2, 4, 3, 4, 4, 4, 3, 1, 0, 4, 2, 2, 0, 0, 0, 1, 2, 4, 0, 4, 4, 3, 0, 0, 3, 1, 1, 1, 1, 0, 0, 4, 0, 2, 3, 4, 3, 4, 3, 4, 3, 4, 0, 0, 4, 0, 2, 3, 1, 1, 3, 1, 4, 2, 2, 4, 4, 3, 3, 0, 0, 1, 3, 1, 1, 0, 1, 0, 3, 4, 3, 3, 1, 2, 1, 2, 4, 3, 1, 0, 2, 0, 4, 1, 3, 1, 4, 2, 3, 2, 4, 4, 2, 3, 2, 0, 3, 3, 1, 3, 1, 3, 3, 2, 0, 4, 3, 4, 1, 1, 3, 1, 4, 0, 4, 3, 4, 1, 1, 0, 4, 2, 1, 4, 1, 2, 2, 3, 0, 3, 0, 2, 2, 2, 0, 1, 3, 3, 2, 0, 1, 1, 2, 3, 1, 0, 1, 1, 3, 4, 2, 4, 2, 0, 0, 1, 4, 3, 3, 3, 1, 0, 3, 0, 1, 1, 0, 4, 1]
pubkeycol1625 = [0, 4, 0, 0, 2, 3, 1, 0, 3, 0, 0, 1, 3, 2, 3, 3, 1, 3, 2, 0, 2, 0, 0, 1, 3, 1, 4, 0, 2, 2, 0, 0, 3, 4, 4, 0, 4, 3, 1, 1, 1, 4, 2, 0, 1, 0, 3, 2, 1, 4, 0, 1, 0, 3, 1, 0, 3, 0, 4, 3, 0, 4, 0, 1, 4, 0, 0, 1, 2, 0, 3, 3, 3, 0, 1, 2, 3, 0, 1, 1, 0, 1, 4, 3, 2, 4, 3, 4, 2, 0, 3, 0, 0, 2, 4, 1, 4, 4, 0, 4, 1, 1, 2, 1, 2, 3, 0, 0, 3, 0, 1, 2, 2, 0, 4, 1, 1, 4, 3, 0, 4, 3, 4, 4, 1, 4, 1, 0, 3, 0, 4, 2, 3, 2, 2, 3, 2, 0, 0, 3, 1, 3, 1, 4, 2, 1, 1, 3, 3, 0, 1, 1, 4, 0, 1, 2, 0, 1, 0, 1, 4, 3, 4, 1, 0, 1, 2, 2, 2, 4, 4, 2, 4, 3, 3, 2, 1, 3, 2, 4, 2, 0, 1, 4, 2, 0, 3, 0, 0, 3, 3, 2, 3, 2, 4, 2, 1, 2, 3, 1, 0, 0, 3, 1, 3, 4, 1, 3, 0, 4, 0, 3, 2, 0, 0, 3, 0, 4, 3, 3, 3, 2, 1, 1, 1, 1, 2, 4, 0, 2, 4, 3, 1, 3, 0, 2, 4, 2, 1, 4, 0, 2, 1, 4, 4, 0, 2, 3, 3, 3, 2, 4, 0, 1, 4, 0, 2, 1, 3, 4, 4, 2, 1, 4, 2, 0, 2, 0, 2, 0, 3, 1, 0, 1, 3, 2, 4, 0, 3, 4, 0, 2, 3, 3, 2, 3, 0, 2, 2, 4, 4, 2, 3, 3, 1, 1, 4, 2, 3, 3, 3, 2, 0, 3, 1, 0, 0, 4, 1, 4, 4, 4, 3, 3, 3, 4, 0, 0, 0, 3, 3, 4, 0, 3, 1, 2, 0, 4, 2, 1, 1, 3, 1, 3, 2, 0, 1, 3, 3, 2, 0, 3, 3, 4, 4, 4, 0, 4, 1, 3, 1, 1, 4, 1, 0, 1, 1, 3, 2, 2, 2, 0, 4, 1, 2, 3, 1, 4, 0, 3, 2, 0, 1, 0, 1, 0, 3, 4, 3, 1, 2, 4, 4, 1, 0, 3, 1, 3, 1, 1, 1, 2, 3, 0, 0, 1, 2, 2, 3, 4]
pubkeycol1626 = [3, 0, 1, 3, 1, 0, 4, 1, 1, 4, 0, 2, 2, 0, 1, 2, 2, 0, 0, 4, 2, 1, 4, 0, 3, 3, 0, 2, 2, 1, 4, 1, 3, 2, 1, 0, 0, 1, 4, 3, 2, 1, 4, 0, 4, 1, 1, 3, 2, 1, 3, 1, 0, 3, 0, 1, 3, 1, 4, 4, 2, 2, 3, 2, 1, 3, 4, 1, 0, 2, 2, 0, 3, 3, 4, 0, 0, 1, 1, 4, 3, 0, 3, 2, 0, 3, 1, 4, 4, 3, 4, 1, 2, 0, 3, 2, 1, 0, 4, 0, 2, 0, 0, 3, 4, 3, 2, 3, 2, 0, 4, 0, 1, 4, 3, 3, 1, 2, 4, 3, 4, 1, 1, 0, 3, 2, 1, 1, 3, 3, 0, 4, 0, 0, 1, 1, 0, 0, 1, 4, 1, 3, 0, 4, 2, 3, 0, 1, 2, 2, 3, 0, 1, 4, 4, 0, 4, 2, 1, 1, 0, 1, 2, 4, 0, 4, 2, 2, 4, 0, 0, 3, 4, 2, 4, 3, 4, 0, 1, 0, 2, 2, 4, 0, 0, 3, 1, 2, 3, 2, 2, 1, 0, 4, 3, 1, 2, 3, 4, 3, 3, 1, 4, 0, 4, 3, 3, 4, 3, 1, 3, 1, 1, 0, 1, 3, 4, 0, 3, 3, 0, 2, 4, 3, 2, 1, 0, 3, 3, 1, 1, 2, 2, 4, 3, 2, 1, 1, 3, 3, 0, 4, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 4, 2, 2, 4, 4, 2, 0, 0, 3, 1, 4, 2, 3, 2, 3, 1, 0, 4, 0, 4, 1, 1, 3, 3, 3, 0, 4, 4, 0, 2, 3, 1, 0, 2, 2, 1, 1, 2, 4, 0, 2, 3, 2, 3, 1, 4, 0, 1, 2, 2, 1, 0, 4, 2, 2, 4, 4, 0, 1, 2, 2, 2, 0, 1, 2, 4, 4, 0, 0, 1, 2, 1, 2, 2, 4, 3, 2, 4, 0, 0, 0, 3, 2, 4, 3, 1, 2, 0, 0, 4, 1, 3, 4, 2, 1, 3, 0, 2, 0, 4, 4, 0, 0, 4, 2, 4, 0, 2, 0, 1, 2, 4, 1, 0, 3, 2, 1, 1, 3, 1, 1, 1, 0, 0, 3, 4, 2, 3, 1, 3, 2, 4, 4, 0, 4, 3, 0, 3, 1, 1, 4, 3, 4, 3, 1, 2, 1, 3]
pubkeycol1627 = [1, 2, 1, 1, 1, 0, 1, 4, 0, 1, 0, 0, 1, 0, 4, 2, 2, 2, 4, 0, 1, 3, 1, 0, 3, 1, 1, 0, 1, 0, 4, 0, 1, 1, 4, 0, 2, 2, 4, 3, 1, 4, 4, 4, 4, 2, 0, 0, 2, 2, 2, 2, 4, 0, 1, 0, 1, 4, 1, 0, 1, 0, 2, 1, 1, 3, 1, 3, 0, 0, 1, 0, 0, 2, 3, 0, 1, 0, 3, 2, 1, 1, 1, 1, 2, 4, 4, 2, 2, 4, 0, 0, 4, 0, 0, 3, 4, 3, 3, 2, 0, 3, 2, 3, 4, 3, 2, 4, 3, 4, 3, 1, 2, 1, 4, 1, 0, 4, 0, 2, 1, 4, 4, 2, 1, 4, 0, 4, 0, 4, 0, 1, 1, 2, 3, 4, 4, 1, 3, 0, 4, 4, 1, 0, 0, 0, 2, 0, 4, 4, 3, 0, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 4, 4, 1, 2, 4, 1, 4, 3, 0, 2, 0, 3, 3, 2, 2, 3, 2, 2, 0, 4, 2, 3, 3, 1, 1, 0, 4, 2, 3, 4, 0, 2, 1, 2, 2, 2, 4, 1, 1, 0, 3, 1, 1, 4, 2, 4, 3, 0, 2, 1, 1, 2, 4, 1, 1, 3, 1, 0, 2, 3, 1, 2, 3, 1, 1, 2, 4, 1, 2, 2, 2, 3, 0, 0, 2, 3, 1, 1, 4, 0, 3, 3, 1, 1, 3, 1, 2, 2, 0, 4, 0, 3, 1, 0, 0, 4, 3, 1, 2, 4, 4, 4, 1, 2, 2, 2, 0, 2, 1, 0, 4, 1, 3, 3, 1, 0, 2, 3, 2, 4, 1, 3, 0, 2, 3, 3, 3, 2, 2, 2, 4, 1, 3, 3, 3, 0, 0, 2, 3, 0, 4, 4, 4, 4, 0, 4, 1, 0, 3, 2, 0, 1, 4, 0, 3, 0, 2, 1, 0, 4, 2, 1, 3, 2, 0, 4, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 3, 0, 1, 2, 0, 1, 2, 1, 3, 3, 2, 1, 2, 1, 3, 3, 2, 4, 4, 4, 4, 3, 0, 1, 4, 3, 3, 0, 3, 0, 4, 1, 4, 0, 3, 2, 4, 2, 4, 2, 3, 1, 4, 3, 3, 1, 4, 4, 3, 2, 2, 4, 4, 0, 0, 3, 1, 3, 2, 4, 1, 1]
pubkeycol1628 = [1, 2, 3, 2, 2, 4, 2, 1, 3, 3, 0, 3, 3, 1, 3, 0, 2, 2, 4, 2, 1, 3, 4, 3, 0, 0, 1, 1, 4, 4, 4, 2, 1, 0, 3, 2, 0, 1, 3, 2, 4, 1, 0, 3, 1, 3, 3, 1, 4, 4, 4, 3, 3, 3, 4, 0, 2, 1, 3, 1, 0, 1, 0, 4, 0, 1, 1, 1, 1, 4, 3, 4, 3, 0, 4, 4, 3, 3, 0, 1, 4, 4, 1, 0, 0, 4, 1, 1, 1, 3, 4, 0, 3, 1, 0, 0, 0, 1, 1, 2, 4, 1, 1, 1, 4, 2, 4, 4, 3, 4, 2, 4, 1, 1, 1, 3, 3, 0, 2, 1, 3, 4, 2, 3, 2, 0, 4, 2, 0, 2, 0, 4, 0, 3, 4, 1, 3, 4, 4, 3, 0, 4, 0, 3, 1, 2, 0, 3, 2, 1, 0, 4, 3, 0, 2, 1, 3, 2, 0, 0, 3, 4, 1, 2, 1, 2, 1, 3, 4, 0, 4, 3, 4, 1, 3, 3, 4, 0, 1, 0, 2, 2, 4, 2, 3, 1, 4, 1, 2, 1, 2, 1, 3, 4, 2, 2, 2, 1, 1, 0, 2, 2, 3, 3, 3, 2, 4, 3, 0, 2, 4, 2, 3, 1, 2, 0, 2, 1, 3, 2, 2, 0, 3, 4, 2, 2, 0, 3, 2, 3, 1, 1, 3, 3, 1, 0, 1, 4, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 2, 3, 0, 4, 4, 2, 1, 3, 3, 0, 4, 1, 2, 4, 1, 4, 3, 1, 2, 4, 1, 3, 0, 4, 1, 4, 3, 3, 0, 3, 2, 1, 4, 1, 1, 4, 1, 3, 2, 2, 2, 0, 2, 0, 3, 2, 4, 4, 0, 0, 4, 1, 4, 1, 2, 4, 0, 3, 3, 3, 2, 3, 2, 0, 2, 2, 0, 3, 0, 1, 4, 0, 3, 4, 3, 3, 3, 4, 4, 0, 3, 2, 0, 1, 4, 0, 4, 1, 3, 0, 2, 0, 2, 4, 3, 0, 1, 1, 4, 4, 0, 4, 4, 3, 3, 2, 4, 0, 2, 3, 4, 0, 0, 3, 4, 3, 4, 0, 2, 3, 1, 0, 0, 2, 4, 3, 2, 3, 2, 3, 3, 4, 1, 4, 1, 2, 4, 0, 0, 1, 1, 3, 0, 2, 0, 4, 1, 4, 3, 4, 0, 4]
pubkeycol1629 = [3, 4, 4, 2, 4, 1, 1, 0, 4, 2, 4, 2, 2, 4, 0, 2, 0, 3, 3, 2, 0, 4, 3, 2, 4, 0, 1, 0, 4, 3, 1, 1, 4, 0, 2, 0, 3, 2, 4, 3, 3, 1, 2, 2, 0, 2, 2, 0, 3, 1, 3, 2, 3, 4, 0, 3, 0, 1, 2, 0, 3, 3, 2, 2, 1, 2, 2, 0, 2, 4, 4, 2, 3, 3, 3, 1, 0, 3, 2, 2, 3, 2, 3, 3, 0, 1, 4, 1, 3, 3, 1, 1, 1, 2, 4, 4, 1, 4, 2, 0, 2, 0, 1, 0, 4, 0, 1, 0, 0, 2, 0, 3, 1, 0, 0, 1, 4, 4, 2, 3, 2, 4, 0, 4, 4, 0, 2, 2, 2, 4, 1, 1, 4, 0, 0, 0, 1, 1, 4, 4, 4, 2, 3, 2, 4, 4, 3, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 3, 4, 2, 1, 3, 2, 3, 1, 3, 3, 4, 2, 4, 2, 2, 0, 0, 2, 1, 1, 2, 1, 3, 0, 1, 3, 2, 1, 3, 4, 2, 1, 2, 4, 2, 4, 2, 1, 0, 1, 4, 0, 2, 2, 3, 2, 3, 4, 2, 0, 2, 4, 0, 0, 0, 2, 3, 0, 3, 1, 2, 4, 3, 1, 0, 0, 3, 3, 3, 2, 3, 1, 0, 2, 4, 3, 0, 4, 4, 4, 4, 0, 2, 0, 3, 3, 4, 0, 4, 1, 4, 4, 0, 1, 1, 2, 2, 4, 3, 3, 2, 2, 0, 2, 4, 0, 2, 1, 2, 0, 3, 1, 0, 1, 4, 3, 4, 3, 2, 2, 1, 2, 2, 2, 1, 3, 3, 4, 3, 3, 3, 2, 3, 3, 0, 1, 2, 3, 2, 0, 4, 0, 2, 3, 2, 1, 0, 0, 3, 2, 0, 3, 0, 0, 1, 4, 1, 0, 3, 4, 1, 4, 0, 4, 0, 0, 4, 3, 2, 2, 2, 3, 1, 0, 2, 0, 4, 3, 3, 0, 4, 3, 4, 1, 0, 3, 3, 2, 1, 0, 2, 3, 3, 3, 2, 1, 0, 2, 4, 1, 2, 4, 3, 4, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 0, 4, 1, 0, 1, 1, 4, 0, 4, 4, 2, 0, 4, 0, 2, 4, 1, 3, 0, 1, 1, 1, 4, 0, 1, 3, 1, 0, 4]
pubkeycol1630 = [0, 1, 3, 2, 1, 1, 3, 0, 3, 3, 3, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 2, 4, 3, 3, 3, 2, 3, 4, 2, 4, 0, 3, 2, 0, 2, 4, 0, 3, 2, 4, 3, 2, 1, 0, 4, 2, 1, 1, 4, 4, 1, 4, 2, 3, 2, 1, 1, 1, 2, 3, 1, 2, 4, 3, 0, 4, 4, 2, 0, 2, 3, 3, 1, 0, 3, 0, 2, 4, 4, 1, 4, 3, 2, 4, 4, 2, 4, 3, 3, 0, 3, 4, 0, 4, 1, 3, 1, 0, 3, 3, 0, 0, 0, 1, 4, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 3, 0, 0, 1, 3, 4, 2, 1, 3, 1, 3, 2, 4, 0, 0, 0, 3, 1, 0, 1, 4, 0, 2, 0, 3, 3, 0, 2, 4, 0, 1, 4, 4, 1, 1, 3, 2, 0, 1, 1, 1, 4, 2, 3, 4, 1, 4, 4, 0, 0, 2, 4, 0, 1, 4, 4, 0, 2, 2, 4, 4, 4, 1, 1, 4, 0, 0, 2, 2, 1, 4, 4, 1, 1, 2, 3, 4, 4, 0, 0, 2, 1, 0, 2, 4, 0, 1, 0, 0, 4, 1, 1, 1, 4, 3, 4, 4, 3, 0, 2, 0, 4, 2, 4, 3, 0, 3, 0, 3, 4, 4, 2, 2, 0, 1, 4, 0, 3, 1, 4, 4, 4, 4, 3, 4, 0, 2, 1, 3, 2, 4, 4, 1, 2, 0, 0, 0, 1, 1, 1, 3, 4, 3, 4, 3, 2, 1, 0, 2, 3, 0, 2, 2, 2, 4, 1, 3, 4, 4, 1, 0, 2, 2, 1, 0, 0, 0, 4, 1, 0, 3, 1, 1, 2, 2, 4, 0, 1, 1, 1, 0, 4, 0, 3, 4, 0, 1, 2, 0, 2, 1, 4, 2, 3, 1, 1, 3, 2, 0, 0, 2, 4, 1, 0, 2, 4, 2, 1, 4, 2, 2, 2, 2, 1, 2, 0, 0, 3, 4, 4, 2, 4, 3, 2, 4, 1, 1, 1, 4, 0, 3, 4, 0, 2, 2, 1, 4, 4, 1, 0, 0, 1, 3, 1, 0, 1, 1, 1, 4, 4, 1, 1, 0, 2, 1, 0, 2, 0, 2, 3, 0, 4, 4, 4, 2, 2, 1, 2, 0, 4, 1, 4, 2, 2, 2, 4, 2, 1, 4, 0, 2, 1, 3, 1]
pubkeycol1631 = [4, 1, 1, 2, 2, 2, 4, 3, 2, 3, 3, 2, 4, 3, 1, 0, 1, 1, 2, 0, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 1, 0, 4, 0, 4, 0, 0, 3, 4, 2, 3, 4, 4, 1, 4, 0, 1, 0, 2, 4, 3, 1, 4, 4, 1, 0, 4, 3, 0, 0, 2, 3, 3, 3, 0, 1, 4, 4, 2, 4, 2, 2, 4, 3, 1, 3, 1, 4, 2, 4, 1, 3, 4, 1, 1, 3, 4, 3, 2, 0, 3, 1, 3, 4, 0, 3, 0, 0, 1, 2, 0, 1, 0, 3, 2, 0, 3, 3, 4, 0, 3, 2, 3, 0, 2, 4, 1, 1, 4, 1, 3, 1, 4, 3, 2, 2, 1, 2, 4, 2, 3, 1, 3, 4, 2, 3, 3, 0, 2, 2, 4, 0, 4, 3, 4, 2, 3, 3, 2, 0, 2, 3, 2, 1, 1, 2, 2, 1, 1, 4, 3, 2, 0, 2, 1, 0, 4, 0, 1, 1, 0, 4, 0, 4, 2, 3, 3, 4, 0, 3, 3, 4, 2, 3, 4, 3, 3, 4, 0, 0, 2, 3, 3, 3, 4, 4, 0, 3, 4, 3, 0, 3, 3, 0, 0, 4, 4, 1, 1, 4, 1, 3, 0, 2, 0, 3, 2, 0, 0, 2, 2, 4, 4, 3, 0, 0, 4, 4, 3, 4, 4, 2, 4, 4, 2, 3, 1, 2, 3, 0, 4, 3, 3, 2, 3, 3, 0, 2, 3, 4, 3, 1, 1, 3, 0, 4, 4, 1, 3, 0, 4, 4, 0, 4, 2, 0, 2, 0, 0, 2, 1, 3, 2, 4, 0, 0, 4, 2, 4, 3, 2, 3, 3, 2, 0, 2, 2, 0, 0, 3, 3, 2, 2, 1, 1, 1, 2, 4, 3, 3, 1, 1, 3, 0, 0, 1, 0, 1, 3, 1, 1, 3, 1, 1, 4, 0, 1, 4, 0, 0, 3, 4, 2, 1, 2, 3, 0, 3, 2, 2, 4, 2, 3, 0, 0, 3, 2, 2, 1, 2, 0, 3, 2, 3, 4, 3, 1, 0, 4, 3, 0, 2, 1, 3, 2, 4, 2, 2, 4, 3, 4, 0, 3, 1, 1, 3, 1, 3, 3, 4, 2, 2, 2, 3, 2, 1, 4, 1, 1, 0, 2, 0, 1, 4, 2, 0, 4, 0, 0, 2, 0, 4, 2, 2, 4, 1, 3, 4, 1]
pubkeycol1632 = [3, 2, 2, 4, 1, 2, 3, 0, 3, 1, 4, 4, 0, 1, 4, 1, 4, 3, 0, 3, 3, 4, 2, 3, 0, 2, 0, 1, 1, 1, 4, 3, 0, 2, 4, 0, 0, 2, 2, 0, 1, 2, 3, 2, 1, 3, 3, 2, 4, 2, 2, 1, 0, 0, 3, 1, 3, 1, 4, 0, 1, 1, 2, 0, 2, 2, 4, 0, 3, 3, 3, 0, 3, 1, 2, 0, 0, 2, 4, 3, 4, 1, 1, 0, 0, 4, 3, 4, 4, 3, 2, 2, 3, 2, 1, 1, 1, 4, 0, 1, 2, 0, 0, 1, 4, 2, 0, 3, 0, 0, 2, 0, 0, 0, 3, 0, 3, 1, 0, 3, 0, 3, 1, 0, 0, 2, 0, 2, 1, 3, 3, 1, 2, 0, 4, 3, 0, 0, 3, 4, 0, 3, 3, 4, 0, 0, 4, 2, 2, 2, 3, 4, 4, 4, 3, 4, 1, 0, 3, 2, 0, 3, 1, 3, 1, 2, 2, 0, 1, 1, 4, 3, 1, 0, 3, 0, 3, 2, 3, 2, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 2, 3, 2, 1, 0, 0, 1, 4, 2, 2, 0, 1, 3, 0, 2, 2, 0, 3, 4, 3, 3, 1, 1, 0, 1, 4, 0, 2, 4, 4, 3, 2, 1, 4, 4, 1, 4, 4, 2, 0, 0, 1, 1, 3, 4, 3, 2, 0, 0, 2, 0, 3, 1, 4, 1, 2, 0, 1, 3, 3, 2, 0, 4, 1, 3, 1, 1, 3, 3, 2, 4, 1, 2, 2, 2, 3, 4, 1, 3, 3, 3, 3, 0, 1, 4, 0, 0, 2, 3, 2, 3, 4, 3, 1, 2, 2, 0, 3, 1, 4, 2, 2, 3, 2, 4, 2, 2, 3, 1, 1, 4, 0, 3, 4, 0, 4, 2, 0, 0, 0, 3, 1, 4, 4, 2, 3, 4, 0, 0, 1, 2, 1, 1, 1, 1, 1, 3, 4, 4, 1, 3, 2, 4, 1, 3, 2, 0, 4, 2, 0, 0, 2, 2, 2, 1, 3, 2, 4, 3, 0, 4, 1, 4, 4, 3, 2, 0, 4, 2, 3, 0, 0, 2, 3, 0, 1, 0, 4, 4, 3, 0, 4, 3, 4, 3, 2, 3, 2, 3, 0, 2, 0, 0, 0, 3, 3, 4, 2, 4, 4, 4, 0, 0, 0, 4, 1, 0, 0, 0, 2]
pubkeycol1633 = [3, 2, 4, 0, 0, 0, 1, 3, 2, 2, 4, 0, 2, 0, 0, 4, 0, 1, 1, 3, 0, 3, 4, 1, 0, 4, 1, 0, 3, 1, 4, 2, 0, 4, 3, 0, 0, 2, 4, 2, 0, 4, 4, 2, 1, 1, 1, 2, 3, 2, 4, 2, 2, 3, 1, 0, 0, 0, 4, 2, 2, 1, 2, 1, 1, 3, 1, 4, 0, 0, 2, 0, 4, 4, 1, 2, 4, 3, 4, 2, 4, 1, 0, 1, 0, 1, 1, 3, 1, 3, 3, 3, 0, 1, 0, 4, 2, 3, 1, 1, 4, 4, 1, 1, 1, 1, 4, 3, 0, 4, 3, 4, 1, 4, 0, 0, 3, 0, 0, 1, 2, 2, 1, 4, 3, 3, 2, 4, 4, 2, 3, 4, 0, 4, 0, 4, 0, 4, 1, 0, 1, 1, 3, 1, 0, 1, 3, 4, 4, 2, 4, 1, 1, 1, 0, 4, 4, 4, 0, 0, 0, 1, 0, 3, 1, 2, 4, 0, 1, 2, 0, 3, 0, 2, 1, 4, 3, 3, 0, 3, 2, 0, 3, 1, 2, 0, 0, 2, 2, 1, 3, 3, 1, 3, 2, 2, 2, 3, 3, 1, 1, 3, 1, 0, 1, 2, 2, 4, 1, 1, 0, 1, 1, 3, 1, 0, 3, 1, 0, 3, 1, 0, 0, 0, 2, 0, 3, 3, 0, 4, 4, 4, 0, 2, 2, 2, 3, 0, 0, 0, 1, 3, 3, 2, 0, 4, 1, 1, 3, 0, 4, 4, 0, 0, 0, 1, 2, 0, 2, 1, 4, 0, 2, 1, 3, 2, 0, 1, 2, 2, 2, 3, 4, 0, 2, 3, 3, 2, 4, 2, 1, 2, 3, 4, 4, 0, 1, 0, 4, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 4, 4, 2, 2, 2, 3, 4, 3, 1, 0, 3, 0, 4, 3, 3, 2, 4, 4, 0, 0, 3, 3, 2, 1, 2, 4, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 4, 4, 2, 4, 2, 4, 1, 0, 3, 1, 4, 4, 0, 2, 4, 2, 3, 3, 0, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 4, 1, 0, 3, 0, 1, 2, 2, 0, 1, 3, 3, 1, 0, 3, 0, 0, 1, 1, 3, 2, 4, 4, 3, 2, 2, 2, 3, 3, 2, 3, 0, 1, 1, 1]
pubkeycol1634 = [0, 3, 1, 2, 0, 1, 2, 3, 2, 2, 4, 1, 2, 1, 2, 2, 2, 0, 0, 3, 1, 3, 0, 3, 0, 1, 3, 4, 3, 0, 2, 4, 2, 4, 4, 4, 1, 0, 2, 1, 3, 2, 1, 0, 1, 3, 4, 4, 3, 4, 1, 0, 2, 3, 0, 2, 3, 0, 1, 3, 0, 0, 2, 1, 3, 2, 3, 2, 3, 4, 3, 3, 0, 0, 4, 4, 1, 1, 4, 4, 2, 0, 3, 1, 2, 3, 3, 2, 4, 4, 2, 0, 3, 0, 3, 0, 3, 0, 2, 4, 3, 0, 3, 0, 1, 3, 0, 1, 3, 4, 1, 4, 3, 2, 3, 4, 2, 1, 4, 3, 1, 4, 4, 3, 1, 1, 0, 0, 1, 0, 2, 1, 1, 4, 0, 1, 4, 4, 0, 4, 4, 0, 4, 1, 4, 0, 4, 2, 1, 1, 3, 2, 4, 2, 3, 4, 0, 4, 0, 4, 0, 3, 0, 3, 0, 4, 1, 1, 1, 1, 2, 4, 1, 0, 2, 3, 3, 0, 1, 0, 0, 3, 2, 0, 1, 1, 0, 4, 1, 1, 2, 3, 2, 1, 4, 0, 1, 2, 0, 4, 1, 3, 0, 2, 0, 3, 3, 3, 2, 2, 0, 4, 3, 1, 4, 1, 3, 4, 2, 2, 0, 4, 1, 1, 4, 3, 4, 2, 1, 1, 0, 3, 2, 2, 1, 1, 4, 3, 0, 1, 2, 2, 3, 0, 4, 0, 0, 4, 4, 0, 2, 2, 3, 3, 4, 3, 0, 4, 3, 4, 3, 1, 4, 0, 2, 3, 3, 4, 3, 4, 3, 4, 2, 2, 4, 0, 2, 0, 4, 2, 1, 0, 0, 0, 1, 0, 3, 4, 4, 3, 2, 1, 0, 4, 2, 3, 3, 4, 0, 2, 0, 1, 2, 0, 0, 4, 4, 4, 1, 3, 4, 4, 2, 1, 4, 2, 0, 2, 2, 4, 4, 3, 0, 3, 1, 3, 1, 2, 1, 3, 1, 3, 2, 4, 3, 2, 1, 2, 2, 0, 3, 2, 4, 1, 1, 2, 4, 4, 1, 2, 0, 3, 4, 4, 2, 3, 0, 1, 3, 3, 1, 4, 1, 0, 1, 3, 1, 3, 2, 4, 1, 3, 4, 2, 4, 1, 4, 1, 2, 1, 0, 1, 0, 0, 2, 3, 2, 4, 1, 0, 2, 3, 4, 4, 4, 3, 4, 0, 1, 4]
pubkeycol1635 = [3, 4, 2, 4, 4, 0, 4, 0, 2, 1, 3, 4, 2, 1, 4, 2, 4, 0, 2, 4, 1, 4, 1, 2, 1, 1, 4, 1, 0, 1, 4, 0, 1, 4, 3, 4, 4, 2, 0, 2, 1, 2, 4, 4, 1, 3, 4, 1, 3, 3, 4, 3, 4, 0, 0, 2, 1, 1, 0, 0, 0, 0, 3, 3, 3, 2, 2, 0, 1, 2, 0, 4, 1, 3, 4, 2, 0, 1, 4, 1, 3, 2, 3, 3, 2, 0, 2, 3, 4, 3, 0, 4, 2, 4, 0, 1, 3, 0, 3, 2, 3, 2, 1, 1, 2, 1, 0, 4, 1, 1, 2, 0, 3, 2, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 3, 1, 4, 2, 1, 1, 3, 2, 0, 2, 1, 0, 1, 0, 3, 0, 3, 1, 3, 1, 4, 4, 3, 0, 4, 3, 0, 4, 2, 4, 3, 4, 3, 1, 3, 1, 2, 0, 4, 0, 2, 2, 4, 4, 1, 4, 1, 2, 4, 2, 4, 3, 0, 0, 2, 3, 0, 1, 2, 0, 4, 4, 1, 1, 4, 0, 0, 1, 4, 1, 0, 2, 4, 3, 4, 1, 0, 1, 1, 2, 3, 0, 1, 3, 1, 2, 0, 0, 2, 1, 4, 2, 4, 0, 0, 4, 4, 3, 2, 2, 1, 3, 3, 4, 1, 0, 2, 3, 2, 0, 1, 3, 4, 4, 4, 4, 4, 3, 1, 4, 0, 2, 4, 0, 2, 3, 3, 2, 0, 4, 0, 0, 1, 2, 4, 4, 0, 1, 4, 0, 2, 3, 2, 3, 2, 2, 2, 3, 1, 4, 4, 2, 3, 0, 1, 3, 3, 1, 0, 2, 0, 1, 2, 0, 3, 3, 1, 2, 1, 1, 3, 3, 0, 3, 2, 2, 4, 2, 1, 0, 0, 2, 3, 3, 0, 0, 1, 3, 4, 1, 3, 2, 3, 0, 0, 2, 1, 4, 3, 3, 2, 2, 1, 0, 1, 3, 1, 2, 0, 2, 3, 1, 1, 1, 4, 1, 1, 1, 0, 1, 3, 2, 2, 4, 2, 3, 0, 4, 0, 0, 2, 1, 4, 4, 3, 0, 2, 4, 1, 4, 2, 2, 1, 0, 0, 2, 2, 3, 1, 2, 3, 0, 1, 3, 1, 1, 2, 4, 0, 4, 2, 0, 1, 2, 3, 4, 3, 3, 3, 1, 1, 1, 2, 0, 2, 2]
pubkeycol1636 = [2, 1, 4, 4, 1, 4, 2, 4, 0, 3, 4, 0, 2, 2, 2, 4, 0, 4, 1, 3, 3, 0, 3, 1, 0, 0, 2, 0, 1, 3, 4, 4, 1, 3, 2, 2, 3, 3, 2, 3, 1, 3, 3, 4, 1, 4, 4, 0, 3, 1, 4, 4, 3, 1, 4, 3, 1, 3, 1, 3, 2, 0, 3, 2, 3, 4, 4, 1, 4, 4, 2, 1, 3, 2, 4, 3, 0, 2, 3, 1, 2, 3, 0, 0, 3, 2, 3, 4, 3, 0, 3, 1, 4, 1, 3, 3, 2, 4, 4, 3, 2, 4, 0, 2, 4, 3, 0, 3, 3, 1, 2, 1, 2, 2, 2, 0, 4, 3, 2, 3, 0, 2, 0, 4, 3, 2, 3, 1, 3, 4, 0, 3, 4, 4, 0, 3, 4, 2, 2, 1, 4, 3, 4, 3, 3, 2, 2, 4, 1, 3, 2, 0, 0, 2, 1, 0, 2, 3, 3, 1, 2, 3, 3, 0, 4, 2, 1, 1, 3, 2, 4, 0, 0, 2, 3, 0, 3, 2, 1, 4, 4, 0, 0, 1, 0, 2, 4, 1, 3, 4, 2, 0, 0, 1, 3, 2, 4, 3, 4, 2, 2, 4, 2, 1, 3, 4, 3, 2, 1, 3, 0, 0, 0, 3, 0, 4, 4, 4, 1, 0, 2, 0, 2, 1, 3, 1, 1, 1, 0, 0, 2, 4, 4, 1, 1, 0, 3, 1, 1, 2, 4, 0, 4, 2, 1, 1, 4, 0, 3, 4, 2, 1, 4, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 4, 2, 3, 0, 1, 3, 3, 1, 0, 4, 3, 1, 0, 4, 4, 1, 1, 3, 2, 3, 2, 1, 4, 2, 3, 3, 2, 2, 1, 1, 0, 0, 1, 1, 3, 4, 0, 1, 4, 2, 4, 0, 3, 4, 1, 0, 3, 1, 3, 2, 0, 1, 4, 3, 4, 3, 3, 0, 0, 0, 4, 0, 3, 3, 0, 0, 1, 1, 3, 1, 1, 2, 2, 1, 4, 2, 4, 1, 4, 1, 3, 4, 4, 2, 0, 1, 1, 1, 4, 2, 1, 3, 2, 1, 2, 1, 4, 0, 0, 3, 4, 4, 3, 4, 2, 0, 1, 4, 2, 0, 2, 1, 2, 2, 2, 4, 4, 3, 3, 2, 0, 1, 2, 2, 2, 0, 3, 4, 4, 0, 1, 3, 4, 2, 4, 3, 0]
pubkeycol1637 = [0, 0, 0, 2, 0, 4, 0, 0, 4, 3, 4, 4, 3, 1, 1, 0, 4, 3, 0, 3, 0, 0, 1, 2, 2, 2, 0, 3, 2, 0, 0, 1, 2, 2, 3, 0, 1, 2, 2, 4, 0, 2, 2, 3, 3, 3, 1, 4, 3, 4, 0, 4, 0, 3, 0, 0, 1, 3, 1, 1, 4, 3, 3, 1, 4, 2, 3, 4, 2, 4, 0, 1, 3, 3, 0, 0, 3, 4, 3, 0, 1, 4, 0, 0, 0, 3, 1, 1, 0, 4, 3, 1, 0, 3, 2, 0, 0, 1, 0, 0, 2, 1, 1, 3, 1, 3, 3, 1, 0, 4, 1, 4, 1, 1, 4, 2, 2, 3, 4, 0, 3, 0, 4, 1, 4, 3, 2, 0, 1, 0, 3, 3, 3, 3, 3, 0, 3, 4, 2, 2, 0, 1, 3, 2, 1, 3, 4, 3, 4, 2, 2, 1, 0, 1, 4, 2, 1, 3, 3, 2, 4, 1, 4, 1, 4, 4, 0, 4, 3, 4, 3, 1, 0, 1, 2, 0, 1, 3, 3, 4, 0, 4, 4, 0, 1, 4, 2, 0, 1, 0, 2, 1, 3, 1, 4, 4, 4, 0, 0, 1, 4, 0, 4, 1, 0, 0, 3, 0, 0, 2, 0, 3, 1, 2, 1, 2, 2, 3, 3, 1, 1, 4, 3, 3, 2, 1, 1, 4, 4, 1, 2, 3, 3, 1, 4, 2, 2, 2, 0, 1, 2, 0, 4, 1, 4, 0, 0, 4, 4, 4, 3, 4, 1, 4, 2, 2, 4, 2, 0, 4, 3, 4, 4, 3, 1, 3, 3, 2, 2, 4, 0, 2, 3, 2, 1, 2, 2, 1, 2, 0, 0, 4, 4, 1, 1, 4, 1, 0, 1, 4, 4, 0, 4, 4, 2, 2, 1, 0, 4, 4, 4, 4, 0, 2, 3, 2, 1, 3, 2, 4, 3, 2, 0, 4, 0, 0, 2, 3, 4, 0, 3, 4, 0, 4, 4, 4, 1, 4, 1, 2, 1, 0, 3, 4, 2, 1, 4, 0, 2, 2, 3, 1, 0, 1, 2, 2, 1, 0, 3, 4, 1, 0, 4, 3, 2, 2, 2, 1, 3, 3, 3, 3, 2, 4, 1, 2, 1, 1, 2, 4, 0, 4, 2, 3, 1, 3, 1, 3, 0, 2, 3, 1, 0, 4, 4, 0, 4, 1, 0, 0, 0, 1, 0, 4, 2, 0, 0, 0, 1, 2]
pubkeycol1638 = [2, 1, 1, 3, 0, 3, 1, 1, 2, 3, 0, 2, 2, 2, 0, 3, 2, 3, 2, 3, 2, 2, 4, 0, 4, 4, 2, 1, 0, 0, 2, 1, 3, 4, 4, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 4, 2, 1, 3, 1, 1, 2, 0, 2, 0, 3, 1, 3, 1, 4, 2, 4, 2, 2, 1, 0, 0, 2, 2, 1, 3, 4, 3, 1, 4, 2, 0, 2, 1, 0, 3, 2, 1, 2, 1, 2, 1, 3, 4, 2, 4, 4, 1, 4, 4, 4, 4, 2, 1, 0, 4, 1, 1, 2, 2, 1, 3, 3, 3, 4, 0, 2, 3, 1, 2, 0, 4, 2, 1, 4, 3, 3, 4, 3, 2, 4, 4, 4, 0, 2, 3, 0, 1, 3, 4, 2, 1, 1, 1, 4, 0, 2, 4, 4, 2, 3, 3, 1, 3, 4, 4, 3, 2, 1, 4, 3, 4, 2, 2, 0, 2, 1, 0, 1, 2, 4, 1, 0, 3, 1, 3, 0, 0, 0, 3, 0, 1, 3, 0, 4, 0, 1, 2, 2, 1, 3, 0, 3, 3, 1, 0, 1, 2, 1, 1, 0, 4, 2, 1, 4, 3, 4, 4, 3, 1, 0, 4, 4, 3, 4, 4, 4, 2, 3, 1, 1, 3, 1, 0, 3, 4, 3, 0, 2, 3, 0, 4, 3, 2, 4, 3, 1, 0, 1, 1, 1, 2, 4, 2, 1, 0, 0, 1, 1, 0, 0, 4, 1, 2, 4, 1, 1, 4, 1, 2, 4, 0, 3, 0, 0, 1, 3, 4, 1, 0, 4, 0, 1, 1, 1, 2, 3, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 3, 3, 2, 1, 1, 3, 3, 4, 4, 3, 1, 4, 2, 0, 3, 4, 0, 1, 1, 2, 4, 3, 4, 1, 4, 1, 1, 1, 3, 1, 4, 1, 0, 4, 0, 2, 4, 4, 4, 3, 4, 1, 4, 3, 0, 4, 4, 3, 1, 0, 0, 1, 1, 3, 1, 0, 3, 1, 3, 2, 2, 2, 2, 2, 4, 3, 2, 0, 4, 1, 0, 4, 3, 3, 1, 2, 0, 2, 1, 0, 3, 2, 0, 2, 1, 3, 1, 1, 4, 3, 1, 2, 0, 3, 3, 0, 4, 3, 0, 1, 2, 4, 4, 3, 0, 2, 4, 1, 2, 1, 1, 4, 0, 4, 2, 0]
pubkeycol1639 = [3, 4, 1, 3, 1, 1, 0, 2, 0, 4, 1, 2, 4, 1, 2, 4, 0, 1, 4, 1, 2, 1, 4, 2, 0, 3, 1, 0, 0, 0, 1, 2, 4, 0, 2, 1, 3, 2, 3, 0, 0, 4, 1, 4, 3, 0, 2, 1, 0, 1, 3, 4, 4, 2, 3, 1, 4, 3, 0, 0, 1, 1, 4, 2, 1, 0, 3, 2, 0, 2, 4, 0, 2, 2, 0, 0, 1, 4, 3, 3, 2, 2, 2, 2, 3, 0, 0, 4, 0, 2, 1, 3, 2, 3, 0, 0, 0, 1, 3, 0, 2, 1, 1, 1, 4, 4, 3, 3, 0, 4, 4, 0, 0, 4, 2, 1, 0, 3, 2, 3, 0, 1, 0, 1, 4, 1, 2, 1, 4, 1, 0, 0, 4, 2, 1, 0, 1, 3, 1, 4, 4, 1, 3, 3, 2, 1, 1, 1, 1, 2, 4, 3, 2, 1, 0, 3, 1, 3, 0, 4, 0, 2, 1, 0, 3, 3, 3, 4, 0, 1, 3, 2, 2, 0, 0, 4, 0, 3, 4, 4, 3, 0, 4, 2, 2, 0, 0, 0, 1, 4, 3, 0, 3, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 4, 4, 3, 2, 1, 1, 4, 2, 3, 1, 2, 4, 2, 3, 4, 1, 1, 1, 0, 0, 3, 1, 2, 4, 2, 0, 2, 1, 0, 4, 2, 2, 0, 0, 1, 1, 4, 4, 1, 2, 4, 0, 2, 3, 0, 2, 0, 0, 1, 4, 3, 2, 0, 2, 4, 4, 3, 0, 0, 1, 2, 4, 0, 3, 3, 2, 4, 2, 1, 0, 3, 2, 4, 0, 3, 3, 1, 2, 4, 3, 4, 0, 4, 2, 2, 3, 0, 2, 0, 4, 2, 3, 0, 3, 0, 0, 0, 0, 2, 0, 3, 0, 2, 1, 0, 1, 1, 4, 4, 4, 2, 3, 4, 1, 1, 1, 3, 3, 4, 1, 3, 4, 0, 3, 4, 1, 1, 4, 0, 3, 4, 2, 0, 1, 0, 2, 4, 4, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 4, 1, 2, 4, 0, 0, 3, 0, 4, 2, 0, 3, 2, 2, 1, 4, 3, 1, 4, 1, 0, 2, 0, 1, 4, 4, 1, 4, 4, 3, 3, 1, 1, 2, 2, 4, 1, 2, 4, 2, 4, 4, 0, 0, 4, 2]
pubkeycol1640 = [1, 0, 2, 4, 4, 1, 3, 0, 2, 4, 0, 0, 1, 4, 3, 1, 2, 3, 1, 0, 0, 2, 1, 4, 4, 4, 1, 2, 0, 0, 4, 2, 2, 3, 2, 4, 0, 4, 4, 3, 0, 1, 3, 3, 1, 4, 4, 3, 4, 3, 3, 2, 3, 3, 2, 1, 4, 2, 3, 4, 4, 2, 0, 2, 3, 2, 4, 0, 3, 3, 0, 3, 3, 0, 2, 3, 1, 2, 2, 1, 0, 4, 3, 0, 3, 0, 1, 2, 4, 2, 2, 2, 1, 3, 3, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 3, 1, 3, 1, 3, 1, 2, 3, 1, 2, 1, 3, 1, 3, 0, 1, 3, 1, 0, 2, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 4, 3, 4, 2, 3, 2, 1, 2, 2, 1, 4, 0, 2, 0, 0, 4, 1, 3, 4, 4, 1, 0, 0, 2, 4, 1, 3, 4, 2, 1, 2, 3, 2, 1, 3, 4, 2, 2, 4, 4, 1, 3, 4, 4, 4, 0, 2, 4, 4, 3, 3, 1, 0, 0, 3, 0, 2, 3, 1, 1, 0, 0, 0, 3, 3, 1, 3, 3, 4, 1, 0, 3, 1, 0, 4, 0, 4, 1, 4, 1, 4, 3, 4, 4, 0, 0, 0, 2, 4, 4, 1, 3, 1, 1, 1, 1, 1, 4, 3, 4, 2, 1, 1, 3, 1, 0, 1, 3, 0, 3, 2, 0, 1, 4, 1, 3, 1, 1, 1, 0, 2, 3, 4, 2, 2, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 3, 0, 3, 2, 3, 0, 4, 3, 4, 2, 1, 3, 2, 3, 3, 0, 4, 1, 4, 1, 2, 2, 2, 2, 3, 4, 2, 3, 1, 0, 4, 0, 1, 2, 3, 3, 2, 0, 3, 1, 4, 1, 0, 0, 3, 4, 0, 3, 0, 4, 4, 4, 0, 3, 3, 3, 2, 4, 2, 1, 0, 0, 0, 0, 3, 4, 0, 4, 0, 4, 4, 1, 0, 4, 4, 4, 0, 3, 2, 2, 4, 0, 1, 2, 1, 4, 0, 1, 3, 3, 4, 1, 1, 1, 4, 0, 2, 3, 1, 4, 4, 2, 1, 3, 4, 1, 4, 2, 3, 3, 3, 4, 3, 0, 2, 3, 0, 0, 0, 2, 4, 0, 1, 3, 0, 2, 2, 3, 2]
pubkeycol1641 = [1, 1, 4, 4, 0, 0, 1, 4, 1, 0, 0, 0, 0, 1, 1, 2, 2, 3, 1, 4, 3, 3, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 3, 4, 0, 4, 1, 4, 2, 2, 3, 4, 1, 0, 2, 2, 4, 0, 1, 0, 3, 0, 2, 4, 1, 0, 0, 1, 0, 2, 1, 0, 4, 1, 0, 4, 2, 1, 1, 3, 3, 0, 3, 1, 3, 0, 1, 1, 2, 1, 2, 0, 2, 2, 4, 0, 4, 4, 2, 1, 4, 0, 3, 4, 3, 1, 4, 4, 1, 0, 3, 0, 2, 2, 2, 4, 2, 4, 3, 1, 4, 2, 4, 1, 3, 4, 4, 1, 0, 4, 3, 2, 3, 3, 3, 3, 1, 4, 0, 2, 2, 3, 2, 2, 1, 3, 0, 3, 4, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 3, 2, 3, 1, 2, 1, 2, 4, 2, 4, 2, 0, 1, 2, 2, 2, 4, 3, 4, 4, 4, 4, 2, 4, 0, 1, 2, 3, 2, 0, 0, 3, 1, 2, 0, 3, 0, 3, 0, 1, 3, 4, 3, 3, 3, 0, 2, 1, 4, 1, 3, 3, 2, 3, 0, 3, 0, 0, 4, 4, 2, 4, 0, 2, 3, 0, 3, 3, 1, 3, 1, 3, 1, 0, 3, 2, 1, 0, 3, 1, 4, 3, 3, 1, 3, 0, 3, 2, 2, 3, 2, 3, 0, 0, 0, 2, 4, 1, 0, 2, 4, 3, 2, 4, 3, 0, 3, 0, 1, 4, 2, 3, 1, 1, 4, 3, 3, 3, 4, 1, 0, 4, 0, 0, 3, 3, 0, 1, 3, 4, 3, 0, 1, 0, 2, 1, 1, 1, 2, 3, 1, 4, 4, 1, 0, 0, 4, 0, 3, 1, 4, 3, 0, 4, 1, 2, 0, 1, 1, 2, 1, 3, 2, 4, 0, 0, 2, 3, 2, 0, 2, 3, 1, 0, 2, 0, 1, 2, 1, 3, 2, 2, 4, 3, 0, 2, 4, 2, 4, 4, 4, 4, 4, 3, 2, 0, 4, 1, 3, 3, 0, 4, 3, 0, 3, 2, 0, 4, 4, 2, 2, 4, 4, 1, 0, 4, 4, 2, 1, 0, 1, 4, 2, 2, 4, 1, 0, 3, 4, 0, 4, 4, 3, 2, 2, 4, 3, 2, 0, 1, 1, 0, 1, 1, 3, 4, 2, 4, 4]
pubkeycol1642 = [0, 4, 1, 0, 4, 4, 2, 4, 3, 4, 0, 2, 2, 1, 2, 2, 4, 3, 0, 0, 3, 2, 0, 0, 4, 1, 1, 3, 0, 0, 3, 1, 4, 4, 4, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 4, 3, 1, 2, 4, 4, 0, 1, 0, 3, 2, 2, 2, 2, 4, 0, 1, 1, 0, 0, 1, 0, 4, 3, 4, 2, 1, 1, 3, 4, 2, 2, 4, 4, 4, 1, 1, 1, 4, 2, 1, 4, 2, 2, 1, 0, 0, 2, 1, 1, 2, 3, 4, 3, 3, 3, 3, 2, 3, 0, 3, 4, 1, 1, 2, 0, 3, 2, 4, 4, 2, 4, 2, 4, 1, 3, 1, 1, 3, 4, 4, 1, 3, 3, 3, 2, 4, 0, 4, 2, 4, 0, 3, 4, 1, 1, 2, 2, 0, 3, 3, 4, 1, 0, 1, 0, 3, 4, 2, 0, 0, 0, 3, 1, 1, 4, 0, 0, 4, 0, 1, 3, 1, 1, 3, 1, 2, 3, 3, 4, 1, 3, 2, 3, 0, 3, 0, 3, 4, 0, 2, 0, 2, 3, 3, 2, 4, 0, 2, 1, 2, 1, 1, 3, 4, 3, 3, 3, 0, 0, 1, 0, 0, 3, 3, 3, 0, 2, 0, 4, 1, 0, 1, 3, 3, 4, 4, 2, 0, 0, 1, 0, 4, 2, 3, 3, 2, 2, 2, 1, 1, 2, 1, 1, 2, 3, 3, 2, 4, 3, 3, 3, 0, 3, 3, 3, 2, 3, 1, 0, 0, 0, 0, 4, 2, 4, 4, 1, 2, 3, 4, 0, 0, 0, 3, 2, 3, 4, 0, 4, 2, 1, 1, 4, 3, 4, 1, 0, 3, 4, 3, 4, 0, 0, 3, 3, 2, 0, 4, 3, 3, 2, 3, 0, 3, 4, 1, 2, 2, 2, 3, 3, 2, 1, 0, 0, 4, 3, 1, 0, 4, 0, 4, 0, 4, 4, 4, 3, 4, 0, 0, 4, 1, 1, 1, 0, 1, 0, 4, 2, 3, 3, 4, 4, 1, 4, 0, 2, 3, 3, 1, 2, 4, 3, 0, 3, 2, 2, 0, 0, 3, 3, 2, 3, 4, 4, 0, 4, 4, 1, 3, 4, 0, 3, 0, 0, 3, 2, 3, 2, 1, 1, 4, 0, 4, 3, 4, 4, 0, 2, 1, 4, 0, 0, 0, 2, 4, 3, 1, 0, 3, 1, 1, 4, 3]
pubkeycol1643 = [1, 3, 3, 3, 3, 4, 1, 1, 4, 4, 4, 2, 4, 2, 4, 0, 2, 0, 0, 1, 3, 4, 2, 3, 2, 3, 3, 3, 3, 1, 1, 4, 0, 2, 4, 3, 2, 4, 1, 2, 3, 1, 4, 1, 3, 1, 4, 1, 4, 2, 3, 1, 3, 3, 3, 1, 4, 0, 1, 3, 3, 0, 1, 1, 1, 2, 2, 4, 4, 4, 0, 2, 3, 0, 2, 4, 1, 0, 4, 4, 1, 1, 4, 4, 1, 0, 3, 2, 4, 4, 0, 0, 3, 3, 1, 0, 1, 4, 0, 3, 1, 4, 4, 2, 2, 4, 3, 4, 2, 1, 1, 0, 1, 0, 2, 4, 1, 2, 4, 3, 1, 1, 3, 0, 0, 1, 0, 0, 3, 4, 0, 2, 3, 0, 4, 3, 3, 1, 2, 0, 2, 2, 0, 4, 1, 0, 3, 2, 1, 1, 4, 1, 1, 4, 1, 4, 4, 1, 2, 0, 3, 2, 0, 3, 4, 4, 1, 2, 1, 3, 3, 3, 0, 2, 1, 1, 4, 3, 3, 2, 4, 4, 4, 2, 4, 0, 3, 4, 0, 4, 2, 1, 0, 3, 0, 3, 1, 3, 0, 3, 2, 3, 3, 1, 1, 3, 2, 0, 1, 2, 2, 2, 2, 0, 2, 4, 3, 1, 1, 3, 3, 1, 4, 1, 1, 2, 0, 3, 3, 2, 2, 1, 3, 4, 4, 4, 1, 1, 0, 2, 3, 1, 3, 2, 1, 0, 0, 2, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 1, 0, 3, 1, 3, 3, 4, 2, 2, 1, 4, 4, 4, 0, 3, 1, 4, 1, 3, 0, 1, 1, 1, 1, 2, 4, 2, 1, 1, 0, 4, 0, 4, 1, 2, 2, 1, 2, 1, 3, 0, 4, 2, 2, 3, 4, 1, 3, 2, 4, 2, 2, 2, 1, 1, 0, 1, 0, 3, 3, 3, 3, 0, 1, 1, 3, 4, 4, 0, 4, 4, 4, 1, 1, 0, 3, 2, 1, 4, 0, 2, 4, 0, 4, 0, 1, 3, 2, 0, 2, 3, 2, 3, 3, 1, 3, 4, 3, 2, 4, 4, 1, 4, 3, 4, 4, 2, 3, 1, 4, 0, 4, 2, 0, 3, 0, 1, 2, 3, 3, 3, 0, 3, 0, 2, 1, 3, 4, 1, 0, 3, 1, 0, 2, 0, 2, 4, 3, 1, 2, 2, 1]
pubkeycol1644 = [3, 1, 0, 3, 4, 0, 0, 2, 3, 0, 3, 4, 1, 1, 3, 3, 0, 3, 2, 2, 2, 0, 2, 2, 4, 0, 0, 2, 1, 4, 1, 3, 0, 2, 0, 1, 2, 1, 4, 4, 1, 0, 1, 3, 0, 4, 1, 4, 4, 3, 2, 2, 1, 0, 4, 0, 0, 4, 4, 2, 4, 2, 3, 0, 1, 3, 2, 4, 1, 3, 2, 2, 4, 4, 0, 4, 2, 1, 4, 3, 3, 3, 0, 2, 4, 3, 2, 2, 3, 3, 0, 0, 1, 3, 4, 4, 1, 3, 4, 0, 1, 4, 3, 4, 3, 1, 0, 4, 4, 1, 1, 0, 3, 3, 1, 4, 4, 1, 3, 0, 1, 2, 0, 4, 2, 2, 4, 3, 3, 1, 0, 2, 0, 3, 3, 3, 4, 3, 4, 4, 3, 2, 3, 2, 1, 4, 4, 2, 2, 0, 2, 3, 4, 0, 4, 2, 3, 4, 3, 1, 2, 0, 2, 4, 3, 3, 3, 3, 2, 4, 0, 4, 2, 4, 3, 3, 0, 2, 2, 0, 2, 2, 2, 3, 4, 3, 4, 3, 0, 1, 2, 2, 3, 2, 1, 2, 0, 1, 1, 3, 1, 2, 4, 1, 0, 2, 1, 2, 1, 3, 0, 1, 1, 3, 2, 1, 3, 0, 1, 3, 4, 2, 1, 3, 0, 4, 4, 4, 1, 2, 1, 1, 3, 1, 0, 4, 0, 4, 1, 3, 1, 3, 4, 4, 4, 3, 3, 3, 3, 2, 2, 4, 2, 2, 1, 1, 0, 4, 3, 2, 4, 0, 0, 1, 0, 0, 4, 0, 0, 3, 3, 0, 4, 2, 0, 2, 0, 4, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 3, 1, 4, 4, 4, 0, 3, 0, 4, 2, 0, 1, 3, 0, 1, 3, 1, 4, 2, 1, 3, 4, 0, 0, 1, 4, 3, 3, 1, 2, 2, 4, 4, 2, 3, 4, 0, 2, 1, 0, 1, 1, 2, 1, 4, 2, 1, 3, 4, 0, 3, 3, 3, 0, 2, 3, 0, 0, 3, 3, 3, 3, 0, 4, 3, 1, 1, 2, 0, 1, 2, 4, 2, 4, 1, 2, 4, 2, 1, 0, 0, 0, 2, 3, 0, 2, 0, 3, 4, 4, 2, 0, 2, 4, 4, 4, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 4, 2, 1, 1, 3, 1]
pubkeycol1645 = [4, 0, 4, 3, 3, 1, 2, 3, 4, 0, 1, 0, 0, 0, 4, 3, 2, 1, 3, 0, 3, 2, 0, 0, 0, 4, 1, 1, 2, 2, 4, 2, 2, 2, 0, 4, 1, 0, 1, 1, 4, 4, 0, 1, 0, 2, 4, 3, 0, 3, 2, 4, 0, 1, 0, 3, 4, 3, 0, 2, 2, 1, 4, 0, 4, 2, 0, 0, 4, 3, 0, 2, 1, 3, 4, 1, 4, 1, 2, 0, 0, 3, 2, 1, 1, 4, 3, 3, 2, 1, 4, 1, 2, 4, 1, 4, 2, 0, 2, 4, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 1, 4, 1, 2, 4, 1, 0, 2, 3, 4, 1, 2, 2, 3, 2, 0, 4, 4, 3, 2, 1, 2, 3, 0, 3, 1, 0, 1, 2, 2, 3, 1, 1, 0, 4, 3, 2, 1, 3, 3, 4, 4, 2, 1, 2, 4, 2, 0, 3, 2, 3, 1, 1, 3, 0, 0, 2, 2, 4, 3, 4, 4, 2, 4, 4, 1, 1, 1, 4, 3, 4, 3, 3, 3, 0, 4, 3, 3, 4, 4, 3, 0, 2, 4, 1, 3, 2, 4, 2, 0, 4, 0, 2, 0, 2, 0, 2, 4, 1, 4, 2, 1, 3, 2, 2, 2, 4, 0, 1, 2, 2, 4, 4, 4, 0, 0, 1, 3, 2, 4, 1, 2, 2, 3, 4, 4, 4, 0, 4, 1, 4, 3, 1, 3, 3, 4, 4, 4, 4, 0, 3, 1, 4, 1, 3, 2, 3, 0, 3, 3, 2, 1, 4, 0, 3, 2, 3, 1, 0, 4, 2, 4, 3, 0, 2, 3, 3, 3, 0, 2, 3, 3, 1, 3, 4, 3, 0, 1, 1, 4, 0, 2, 0, 3, 4, 0, 0, 1, 1, 3, 2, 2, 2, 4, 2, 2, 4, 0, 4, 1, 3, 4, 2, 1, 0, 2, 2, 4, 2, 4, 4, 0, 3, 4, 2, 1, 1, 2, 2, 3, 2, 4, 1, 2, 1, 1, 3, 3, 3, 3, 1, 0, 0, 3, 0, 3, 1, 2, 2, 4, 4, 0, 0, 1, 2, 2, 3, 2, 4, 1, 3, 1, 0, 2, 1, 4, 2, 3, 2, 0, 2, 4, 2, 4, 3, 3, 4, 2, 0, 4, 2, 4, 0, 1, 3, 3, 2, 1, 2, 0, 0, 2, 4, 3, 4, 1, 2, 3, 1, 3]
pubkeycol1646 = [1, 2, 3, 0, 4, 4, 3, 4, 1, 3, 3, 0, 1, 2, 0, 3, 2, 3, 3, 1, 4, 4, 0, 3, 0, 2, 1, 4, 2, 2, 1, 4, 1, 0, 2, 1, 2, 2, 1, 0, 3, 0, 2, 4, 0, 0, 0, 3, 1, 3, 0, 1, 2, 2, 0, 4, 4, 4, 4, 0, 2, 1, 4, 1, 4, 2, 2, 0, 3, 2, 3, 4, 3, 3, 1, 4, 3, 4, 0, 4, 0, 3, 4, 0, 0, 0, 1, 0, 2, 4, 0, 1, 1, 4, 4, 3, 4, 2, 2, 0, 3, 0, 3, 3, 4, 2, 1, 2, 1, 1, 0, 3, 2, 4, 0, 2, 3, 3, 2, 0, 2, 1, 1, 1, 1, 0, 3, 3, 2, 1, 0, 0, 1, 4, 3, 4, 3, 1, 2, 0, 4, 2, 2, 0, 2, 1, 2, 1, 1, 1, 3, 4, 0, 4, 4, 4, 0, 0, 4, 3, 3, 1, 0, 0, 2, 4, 4, 0, 0, 4, 1, 2, 1, 3, 1, 0, 4, 3, 2, 4, 2, 0, 3, 3, 1, 0, 0, 4, 2, 1, 2, 2, 4, 3, 2, 0, 3, 1, 1, 0, 0, 4, 3, 4, 3, 1, 4, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 3, 0, 0, 3, 3, 0, 3, 1, 1, 1, 3, 0, 4, 0, 2, 1, 2, 3, 1, 2, 4, 2, 2, 3, 4, 2, 4, 0, 1, 4, 2, 4, 2, 1, 2, 4, 3, 0, 1, 3, 4, 3, 3, 3, 2, 3, 0, 0, 3, 0, 4, 2, 3, 4, 0, 3, 0, 2, 2, 4, 1, 3, 4, 3, 3, 1, 1, 4, 1, 0, 4, 1, 3, 0, 1, 2, 0, 2, 3, 0, 3, 0, 1, 4, 4, 0, 4, 3, 3, 4, 2, 2, 1, 0, 2, 2, 2, 0, 2, 4, 2, 2, 3, 0, 2, 3, 0, 4, 3, 1, 4, 0, 4, 0, 4, 3, 0, 1, 0, 3, 2, 0, 4, 3, 0, 3, 4, 3, 2, 4, 1, 2, 1, 3, 1, 3, 4, 3, 4, 3, 2, 1, 4, 4, 2, 2, 3, 4, 2, 4, 4, 2, 1, 3, 1, 4, 2, 0, 0, 4, 0, 3, 1, 3, 4, 2, 2, 1, 2, 2, 0, 1, 1, 0, 4, 4, 1, 0, 3, 4, 2]
pubkeycol1647 = [1, 3, 3, 1, 2, 4, 3, 4, 1, 4, 1, 1, 4, 2, 4, 2, 2, 3, 3, 2, 4, 0, 4, 0, 0, 0, 1, 4, 4, 4, 1, 1, 4, 2, 3, 2, 4, 0, 2, 0, 2, 4, 2, 0, 1, 0, 0, 2, 3, 2, 4, 1, 1, 2, 2, 2, 2, 0, 2, 2, 3, 3, 0, 0, 1, 0, 0, 2, 4, 0, 4, 0, 0, 0, 3, 2, 2, 2, 3, 0, 1, 3, 1, 1, 2, 3, 3, 3, 1, 1, 4, 2, 2, 3, 2, 0, 4, 0, 2, 2, 3, 4, 2, 0, 2, 2, 3, 2, 1, 3, 1, 4, 4, 3, 3, 4, 2, 0, 4, 1, 0, 4, 0, 3, 3, 0, 2, 2, 1, 3, 4, 0, 3, 1, 3, 2, 3, 3, 0, 1, 1, 0, 0, 1, 2, 1, 3, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 3, 2, 2, 3, 2, 3, 1, 0, 4, 1, 3, 4, 2, 3, 3, 4, 3, 0, 4, 3, 1, 1, 2, 3, 0, 1, 2, 0, 1, 2, 2, 1, 4, 0, 0, 2, 4, 4, 4, 0, 4, 4, 4, 1, 2, 3, 4, 4, 1, 1, 0, 0, 1, 1, 4, 1, 2, 4, 3, 0, 3, 4, 0, 1, 3, 0, 1, 4, 4, 1, 2, 1, 4, 4, 4, 3, 1, 4, 3, 0, 3, 4, 0, 3, 0, 0, 3, 0, 3, 2, 4, 4, 1, 3, 2, 3, 3, 1, 0, 1, 2, 1, 4, 2, 3, 4, 4, 1, 4, 0, 2, 1, 1, 3, 1, 2, 2, 0, 2, 2, 4, 0, 2, 2, 3, 1, 3, 4, 2, 2, 4, 4, 2, 2, 4, 0, 1, 4, 1, 3, 1, 4, 2, 0, 1, 0, 3, 1, 4, 1, 4, 0, 3, 2, 2, 2, 3, 4, 3, 4, 1, 2, 1, 3, 2, 0, 2, 3, 2, 3, 0, 0, 0, 1, 2, 1, 3, 4, 1, 0, 4, 2, 0, 2, 2, 4, 4, 0, 3, 1, 1, 0, 3, 0, 3, 4, 2, 2, 1, 4, 0, 1, 3, 3, 2, 2, 4, 3, 3, 4, 2, 2, 0, 1, 2, 2, 0, 3, 1, 2, 0, 3, 0, 3, 1, 0, 4, 4, 1, 0, 3, 4, 3, 1, 2, 4, 0, 3, 0, 3]
pubkeycol1648 = [4, 2, 0, 2, 0, 1, 4, 2, 3, 1, 1, 0, 2, 4, 3, 3, 4, 1, 2, 2, 1, 2, 1, 1, 2, 1, 3, 1, 3, 2, 1, 2, 0, 4, 2, 0, 0, 4, 1, 4, 2, 1, 4, 3, 4, 0, 2, 3, 1, 3, 2, 1, 3, 1, 1, 2, 2, 0, 4, 2, 0, 4, 1, 1, 0, 2, 4, 4, 1, 1, 4, 4, 1, 1, 3, 3, 3, 3, 1, 0, 0, 0, 2, 3, 4, 2, 0, 2, 1, 4, 0, 1, 1, 2, 0, 0, 0, 1, 4, 2, 1, 3, 3, 2, 1, 1, 2, 3, 1, 0, 1, 0, 2, 2, 4, 3, 2, 1, 1, 1, 3, 4, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 1, 1, 2, 3, 1, 0, 4, 3, 3, 3, 0, 3, 2, 4, 4, 1, 4, 0, 2, 4, 0, 2, 4, 4, 4, 0, 4, 0, 1, 2, 3, 4, 1, 2, 0, 2, 4, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 3, 1, 1, 2, 2, 1, 0, 4, 4, 2, 0, 3, 2, 4, 0, 3, 2, 3, 4, 3, 3, 0, 0, 2, 1, 0, 1, 0, 2, 4, 1, 2, 0, 1, 3, 1, 1, 1, 2, 4, 4, 0, 1, 3, 1, 4, 1, 1, 0, 4, 0, 1, 1, 1, 2, 3, 3, 4, 1, 4, 2, 1, 1, 0, 0, 4, 2, 0, 3, 1, 3, 4, 0, 4, 2, 2, 1, 4, 4, 0, 1, 4, 4, 2, 4, 1, 4, 3, 2, 0, 1, 1, 4, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 4, 4, 0, 1, 2, 3, 2, 1, 3, 2, 1, 3, 1, 4, 1, 1, 1, 4, 3, 0, 3, 3, 4, 0, 2, 1, 2, 3, 1, 0, 2, 0, 4, 2, 4, 2, 4, 4, 3, 2, 3, 0, 4, 0, 3, 0, 4, 0, 1, 2, 0, 4, 1, 2, 2, 0, 0, 0, 2, 2, 4, 1, 1, 0, 3, 2, 4, 4, 0, 1, 3, 0, 1, 1, 1, 0, 0, 0, 0, 4, 2, 0, 3, 4, 3, 4, 2, 1, 0, 2, 3, 2, 2, 2, 1, 4, 1, 4, 4, 2, 3, 2, 0, 4, 1, 2, 4, 4, 4, 2, 3, 4, 2, 0, 4, 2]
pubkeycol1649 = [3, 4, 2, 3, 3, 1, 0, 4, 1, 1, 3, 1, 4, 2, 2, 4, 3, 3, 1, 0, 4, 4, 1, 4, 4, 1, 3, 2, 4, 1, 3, 4, 3, 1, 0, 4, 1, 2, 3, 2, 2, 1, 0, 3, 4, 1, 0, 3, 1, 0, 4, 0, 2, 3, 1, 0, 2, 1, 1, 4, 1, 4, 2, 1, 0, 3, 3, 2, 0, 2, 2, 2, 0, 3, 0, 0, 1, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 3, 2, 4, 0, 0, 3, 4, 3, 4, 4, 3, 3, 4, 1, 2, 2, 3, 4, 4, 4, 0, 1, 3, 0, 4, 3, 3, 4, 1, 0, 4, 3, 0, 2, 1, 4, 2, 4, 3, 1, 4, 1, 2, 0, 3, 0, 3, 3, 4, 4, 0, 0, 2, 3, 1, 0, 3, 4, 3, 2, 1, 4, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 4, 4, 4, 4, 4, 3, 4, 2, 4, 0, 4, 4, 2, 0, 3, 3, 2, 0, 0, 2, 0, 1, 3, 3, 3, 3, 1, 4, 1, 2, 1, 0, 3, 4, 1, 0, 4, 1, 1, 1, 0, 0, 0, 1, 3, 2, 1, 3, 2, 1, 0, 1, 3, 2, 2, 4, 0, 2, 4, 3, 2, 4, 2, 4, 4, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 3, 4, 3, 4, 0, 3, 2, 3, 2, 3, 0, 0, 3, 2, 1, 1, 0, 3, 1, 4, 3, 0, 1, 1, 3, 2, 2, 0, 3, 0, 1, 2, 0, 4, 1, 1, 2, 3, 3, 0, 4, 4, 1, 4, 3, 0, 0, 3, 1, 2, 1, 4, 1, 1, 4, 2, 3, 3, 1, 3, 4, 3, 1, 1, 1, 1, 3, 0, 2, 4, 4, 2, 3, 4, 0, 2, 1, 3, 1, 1, 4, 2, 4, 0, 4, 4, 1, 1, 4, 4, 1, 4, 2, 2, 2, 0, 1, 0, 2, 4, 2, 1, 1, 3, 3, 4, 0, 1, 4, 0, 2, 0, 2, 4, 1, 0, 1, 1, 4, 2, 4, 4, 3, 1, 0, 1, 0, 3, 2, 2, 3, 1, 3, 1, 3, 4, 1, 2, 4, 4, 4, 2, 4, 4, 0, 4, 0, 3, 2, 1, 2, 2, 4, 2, 2, 3, 2]
pubkeycol1650 = [1, 1, 0, 0, 3, 4, 4, 1, 3, 0, 4, 0, 3, 1, 2, 4, 3, 3, 3, 1, 4, 3, 2, 0, 3, 4, 4, 4, 0, 3, 4, 3, 3, 4, 4, 2, 4, 3, 3, 1, 4, 0, 3, 2, 4, 1, 1, 2, 4, 4, 1, 2, 4, 4, 3, 0, 2, 1, 2, 3, 4, 0, 0, 3, 2, 0, 3, 4, 3, 4, 2, 0, 0, 2, 1, 4, 4, 4, 2, 4, 4, 2, 2, 4, 0, 3, 4, 3, 4, 3, 2, 1, 1, 1, 1, 2, 1, 0, 4, 4, 2, 1, 1, 4, 2, 4, 4, 0, 0, 0, 4, 3, 4, 1, 1, 3, 2, 2, 0, 3, 4, 2, 0, 4, 1, 3, 4, 3, 2, 3, 4, 4, 0, 2, 3, 4, 1, 3, 2, 4, 1, 3, 0, 4, 3, 3, 1, 0, 2, 0, 2, 0, 2, 3, 0, 1, 0, 4, 2, 3, 3, 2, 3, 2, 2, 0, 4, 3, 3, 0, 3, 0, 0, 0, 2, 0, 4, 3, 1, 1, 4, 1, 3, 4, 2, 1, 3, 4, 4, 0, 1, 1, 1, 4, 3, 2, 3, 1, 1, 4, 2, 3, 2, 3, 2, 0, 2, 2, 0, 0, 0, 3, 0, 0, 0, 1, 4, 3, 3, 3, 4, 3, 2, 2, 3, 1, 0, 0, 1, 3, 4, 4, 1, 2, 3, 0, 4, 2, 0, 3, 4, 2, 0, 3, 0, 0, 2, 2, 2, 3, 1, 2, 0, 4, 1, 4, 0, 3, 4, 0, 0, 1, 2, 3, 0, 0, 3, 4, 3, 4, 2, 0, 2, 1, 3, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 4, 2, 4, 1, 4, 0, 4, 2, 3, 2, 3, 3, 3, 2, 3, 1, 0, 0, 1, 0, 2, 0, 1, 2, 3, 1, 4, 4, 1, 3, 4, 4, 1, 4, 2, 4, 3, 2, 4, 1, 1, 3, 2, 1, 3, 3, 1, 2, 2, 1, 0, 2, 3, 4, 4, 0, 3, 2, 2, 0, 3, 4, 1, 1, 4, 3, 0, 2, 1, 3, 3, 3, 3, 0, 0, 3, 3, 0, 1, 3, 2, 4, 3, 3, 1, 0, 1, 0, 2, 1, 1, 4, 1, 4, 0, 0, 1, 3, 4, 1, 2, 0, 3, 4, 3, 2, 1, 3, 4, 0, 4, 1, 2, 0]
pubkeycol1651 = [3, 1, 4, 1, 0, 2, 0, 2, 3, 0, 1, 4, 1, 3, 3, 2, 2, 3, 0, 1, 0, 3, 3, 0, 2, 4, 1, 3, 1, 0, 2, 4, 2, 4, 1, 3, 4, 1, 0, 1, 1, 4, 0, 3, 1, 1, 3, 2, 3, 0, 3, 2, 0, 4, 3, 4, 2, 0, 1, 0, 3, 3, 1, 0, 1, 2, 2, 2, 0, 4, 4, 0, 4, 4, 4, 4, 2, 4, 3, 1, 1, 1, 2, 2, 4, 1, 3, 4, 4, 3, 1, 2, 4, 4, 4, 4, 4, 3, 2, 2, 3, 3, 4, 1, 2, 1, 0, 1, 0, 1, 2, 3, 3, 0, 0, 4, 2, 0, 3, 4, 1, 4, 2, 2, 2, 3, 2, 1, 4, 2, 4, 2, 0, 1, 0, 1, 4, 4, 1, 4, 1, 1, 0, 3, 4, 2, 1, 4, 2, 3, 2, 0, 3, 4, 1, 1, 0, 2, 0, 0, 3, 3, 1, 0, 2, 1, 1, 2, 3, 1, 2, 4, 0, 2, 0, 2, 4, 2, 2, 3, 4, 1, 0, 4, 3, 2, 2, 3, 4, 4, 2, 3, 0, 0, 3, 3, 3, 2, 0, 1, 3, 2, 3, 1, 2, 4, 1, 1, 4, 1, 1, 0, 1, 2, 3, 3, 1, 1, 0, 0, 4, 3, 2, 1, 0, 2, 4, 0, 1, 3, 4, 0, 1, 4, 3, 0, 3, 1, 3, 3, 2, 2, 0, 0, 3, 0, 2, 2, 1, 2, 0, 0, 1, 4, 0, 0, 1, 0, 4, 0, 3, 1, 2, 0, 1, 0, 3, 4, 1, 4, 2, 1, 1, 1, 4, 1, 1, 3, 2, 3, 4, 3, 1, 0, 3, 1, 2, 4, 0, 1, 0, 2, 2, 4, 4, 0, 0, 1, 0, 4, 3, 3, 0, 0, 3, 3, 0, 1, 2, 1, 4, 4, 4, 1, 0, 1, 2, 4, 1, 3, 4, 2, 3, 4, 3, 4, 4, 2, 4, 1, 4, 2, 3, 0, 1, 4, 1, 2, 0, 0, 0, 1, 0, 3, 2, 4, 4, 4, 0, 4, 1, 4, 0, 2, 0, 1, 4, 2, 2, 0, 4, 4, 2, 3, 1, 2, 1, 4, 2, 0, 3, 1, 1, 3, 3, 2, 0, 2, 1, 4, 2, 3, 0, 0, 1, 2, 4, 2, 1, 2, 3, 4, 2, 2, 3, 1, 0, 0, 3, 2]
pubkeycol1652 = [2, 4, 1, 0, 3, 2, 2, 0, 3, 4, 4, 3, 2, 4, 2, 0, 4, 1, 4, 3, 3, 2, 4, 1, 4, 1, 0, 4, 1, 2, 2, 2, 1, 0, 0, 0, 2, 4, 3, 3, 2, 4, 2, 3, 4, 1, 0, 2, 0, 4, 4, 1, 0, 4, 0, 1, 0, 4, 2, 3, 4, 2, 3, 1, 2, 3, 4, 4, 2, 1, 4, 3, 1, 1, 2, 2, 0, 0, 1, 3, 4, 1, 2, 0, 0, 4, 4, 3, 3, 3, 4, 2, 1, 0, 4, 1, 3, 4, 3, 4, 1, 3, 4, 2, 3, 2, 1, 0, 1, 4, 4, 2, 4, 1, 3, 2, 4, 1, 4, 0, 2, 1, 3, 3, 0, 3, 3, 4, 1, 2, 3, 0, 1, 4, 0, 4, 4, 0, 1, 0, 3, 1, 2, 3, 3, 3, 4, 3, 0, 0, 1, 1, 1, 0, 4, 2, 0, 3, 1, 4, 4, 3, 1, 1, 3, 0, 4, 4, 3, 0, 0, 3, 2, 1, 4, 0, 4, 1, 4, 4, 3, 0, 3, 1, 0, 3, 1, 1, 3, 1, 1, 3, 4, 0, 0, 0, 4, 3, 1, 2, 2, 1, 3, 1, 0, 1, 0, 2, 1, 3, 4, 2, 1, 1, 0, 4, 4, 4, 4, 3, 1, 3, 2, 0, 1, 1, 1, 0, 3, 2, 3, 1, 3, 2, 0, 4, 4, 0, 1, 3, 2, 0, 2, 1, 3, 0, 2, 1, 0, 1, 4, 2, 4, 3, 0, 2, 4, 3, 2, 1, 1, 4, 1, 0, 0, 4, 2, 2, 4, 2, 2, 2, 1, 4, 3, 0, 1, 4, 3, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 3, 0, 0, 1, 1, 3, 1, 0, 2, 0, 3, 3, 1, 0, 1, 0, 4, 4, 3, 1, 2, 4, 4, 0, 4, 3, 3, 1, 2, 2, 4, 4, 2, 3, 1, 0, 3, 3, 2, 2, 0, 2, 3, 1, 0, 4, 4, 3, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 2, 1, 2, 0, 3, 2, 0, 1, 1, 1, 2, 4, 0, 4, 4, 0, 4, 4, 0, 4, 1, 2, 3, 0, 1, 2, 2, 1, 3, 2, 0, 2, 1, 1, 2, 2, 2, 4, 4, 4, 2, 2, 4, 3, 3, 0, 0, 4, 1, 4, 4, 3, 0]
pubkeycol1653 = [3, 3, 0, 1, 2, 1, 1, 0, 1, 1, 2, 4, 2, 4, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 3, 3, 0, 4, 3, 4, 1, 1, 1, 3, 4, 3, 3, 1, 2, 2, 1, 4, 2, 1, 0, 4, 2, 2, 1, 0, 1, 0, 3, 2, 4, 1, 2, 4, 0, 3, 1, 0, 3, 0, 4, 0, 3, 2, 3, 1, 0, 1, 0, 0, 0, 3, 3, 2, 1, 2, 3, 1, 3, 1, 3, 3, 0, 3, 3, 2, 2, 1, 0, 2, 3, 0, 1, 3, 2, 4, 1, 1, 2, 0, 0, 4, 4, 1, 3, 4, 3, 2, 0, 2, 2, 0, 1, 2, 2, 2, 3, 1, 3, 3, 2, 2, 1, 1, 3, 2, 2, 4, 4, 1, 0, 4, 4, 0, 0, 0, 0, 1, 3, 1, 0, 3, 4, 4, 2, 4, 0, 1, 0, 2, 3, 3, 4, 0, 1, 3, 4, 3, 4, 4, 0, 4, 0, 0, 2, 1, 2, 0, 2, 2, 2, 3, 3, 1, 3, 2, 3, 0, 0, 0, 0, 2, 0, 4, 2, 0, 0, 2, 2, 3, 0, 1, 4, 3, 1, 1, 0, 0, 3, 0, 3, 1, 2, 4, 2, 0, 0, 0, 2, 2, 4, 3, 4, 2, 1, 1, 2, 1, 3, 0, 1, 1, 3, 4, 3, 2, 4, 3, 3, 4, 4, 2, 3, 3, 2, 1, 2, 3, 4, 1, 3, 0, 3, 0, 2, 0, 0, 3, 2, 2, 4, 3, 2, 1, 4, 0, 1, 0, 1, 4, 0, 4, 1, 4, 0, 4, 0, 1, 2, 2, 4, 2, 1, 3, 1, 2, 0, 1, 4, 0, 0, 3, 4, 2, 2, 2, 1, 1, 3, 1, 2, 2, 0, 1, 2, 3, 4, 1, 4, 2, 1, 0, 0, 2, 1, 3, 2, 4, 4, 2, 4, 0, 3, 0, 4, 1, 0, 0, 0, 0, 3, 2, 0, 1, 3, 2, 3, 4, 3, 3, 1, 3, 4, 4, 4, 4, 0, 1, 1, 4, 0, 4, 2, 0, 3, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 4, 0, 0, 1, 0, 1, 4, 1, 0, 4, 2, 4, 3, 3, 1, 4, 1, 4, 0, 3, 1, 3, 0, 4, 2, 0, 1, 3, 2, 3, 0, 1, 0, 2, 0, 3, 0, 1, 1, 3, 1]
pubkeycol1654 = [2, 4, 2, 1, 0, 2, 1, 4, 2, 4, 1, 4, 1, 1, 2, 1, 4, 3, 4, 1, 2, 2, 4, 2, 1, 1, 1, 4, 3, 1, 0, 2, 2, 4, 0, 1, 3, 1, 3, 3, 4, 1, 1, 1, 1, 2, 3, 4, 0, 0, 4, 2, 4, 2, 0, 4, 2, 4, 3, 0, 3, 0, 2, 1, 2, 0, 0, 2, 4, 0, 1, 3, 3, 1, 4, 0, 0, 2, 2, 3, 1, 1, 3, 1, 2, 3, 4, 3, 4, 3, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 3, 2, 1, 2, 2, 0, 3, 3, 0, 2, 1, 4, 3, 2, 1, 0, 3, 0, 3, 4, 1, 2, 4, 1, 0, 0, 1, 3, 4, 4, 3, 1, 1, 2, 2, 3, 0, 2, 2, 4, 1, 3, 0, 3, 3, 1, 2, 3, 3, 1, 0, 2, 1, 0, 0, 2, 3, 1, 1, 3, 1, 2, 2, 4, 2, 2, 4, 0, 2, 0, 0, 0, 3, 0, 0, 3, 3, 2, 1, 0, 0, 2, 1, 0, 3, 0, 3, 0, 4, 3, 3, 1, 1, 1, 0, 4, 0, 3, 0, 2, 3, 0, 0, 3, 4, 2, 1, 2, 2, 0, 3, 0, 1, 2, 2, 3, 3, 4, 0, 0, 0, 2, 0, 0, 4, 1, 3, 2, 3, 0, 0, 1, 3, 0, 4, 0, 3, 0, 4, 2, 2, 2, 1, 4, 3, 0, 1, 4, 4, 4, 3, 2, 0, 4, 3, 2, 3, 0, 0, 2, 1, 4, 4, 0, 1, 4, 4, 0, 0, 2, 1, 3, 2, 3, 0, 1, 1, 3, 1, 2, 3, 1, 3, 4, 2, 4, 0, 2, 2, 2, 2, 3, 1, 0, 1, 1, 0, 0, 4, 3, 4, 1, 0, 4, 0, 2, 1, 3, 0, 1, 3, 2, 2, 0, 4, 1, 3, 0, 1, 1, 0, 2, 4, 4, 4, 4, 4, 0, 4, 4, 3, 0, 2, 0, 2, 0, 2, 3, 4, 1, 3, 4, 2, 2, 1, 3, 0, 1, 0, 1, 0, 1, 0, 4, 4, 2, 4, 3, 1, 0, 1, 2, 3, 2, 0, 2, 4, 2, 3, 4, 0, 4, 1, 3, 0, 2, 3, 4, 3, 3, 4, 1, 1, 2, 3, 0, 3, 1, 1, 0, 0, 3, 4, 2, 3, 3, 0, 4, 3]
pubkeycol1655 = [1, 4, 3, 4, 3, 0, 0, 1, 2, 0, 2, 1, 2, 1, 4, 4, 2, 1, 0, 4, 4, 0, 0, 2, 1, 0, 4, 2, 2, 1, 4, 2, 4, 2, 1, 0, 1, 4, 4, 0, 4, 3, 2, 2, 3, 1, 2, 4, 4, 0, 2, 4, 2, 4, 3, 0, 0, 1, 4, 1, 3, 4, 1, 1, 0, 3, 4, 0, 2, 4, 4, 2, 1, 2, 1, 0, 4, 2, 4, 3, 2, 0, 4, 4, 4, 1, 1, 3, 4, 1, 2, 2, 1, 2, 3, 1, 2, 3, 2, 4, 3, 1, 1, 0, 4, 3, 0, 3, 0, 0, 3, 2, 3, 1, 0, 0, 4, 1, 0, 0, 1, 3, 1, 2, 1, 1, 3, 3, 0, 1, 1, 4, 3, 0, 4, 3, 3, 4, 4, 0, 3, 4, 1, 1, 1, 4, 2, 1, 3, 0, 1, 3, 2, 1, 0, 2, 0, 0, 3, 2, 3, 4, 3, 0, 4, 4, 1, 0, 4, 0, 1, 2, 4, 0, 0, 1, 3, 2, 0, 1, 1, 1, 1, 0, 4, 1, 3, 1, 0, 0, 1, 0, 4, 3, 1, 2, 0, 2, 0, 3, 1, 1, 3, 4, 2, 0, 3, 2, 4, 4, 0, 4, 4, 1, 1, 0, 3, 0, 2, 3, 2, 0, 3, 3, 2, 1, 4, 2, 1, 2, 4, 4, 2, 0, 0, 4, 2, 1, 3, 2, 2, 3, 0, 3, 2, 2, 0, 2, 1, 2, 1, 4, 2, 4, 0, 3, 4, 2, 2, 0, 0, 4, 1, 4, 4, 0, 2, 4, 3, 3, 2, 1, 3, 3, 1, 2, 4, 0, 1, 3, 3, 4, 1, 3, 3, 0, 0, 4, 2, 0, 4, 2, 3, 0, 4, 3, 2, 0, 4, 3, 1, 4, 3, 3, 4, 2, 4, 0, 2, 4, 2, 2, 3, 3, 2, 4, 3, 1, 2, 2, 4, 2, 2, 0, 4, 0, 3, 4, 3, 0, 2, 2, 3, 0, 3, 2, 1, 4, 1, 4, 4, 0, 4, 1, 1, 0, 2, 2, 3, 3, 4, 2, 1, 4, 1, 1, 0, 4, 0, 2, 1, 3, 2, 3, 4, 0, 0, 3, 1, 3, 4, 0, 3, 2, 0, 3, 3, 3, 3, 1, 2, 4, 3, 4, 1, 3, 1, 4, 3, 2, 2, 1, 0, 0, 3, 2, 0, 3, 1, 4]
pubkeycol1656 = [0, 1, 2, 0, 1, 2, 1, 3, 2, 2, 0, 2, 2, 4, 1, 0, 4, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 4, 2, 1, 0, 1, 4, 3, 3, 1, 3, 0, 0, 4, 3, 4, 3, 4, 2, 1, 0, 1, 0, 3, 3, 2, 4, 0, 0, 1, 3, 4, 0, 4, 1, 0, 1, 2, 4, 1, 1, 2, 4, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 3, 1, 4, 2, 2, 3, 3, 2, 2, 4, 0, 4, 2, 4, 2, 2, 3, 4, 0, 3, 2, 2, 3, 2, 2, 0, 1, 4, 3, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 1, 2, 3, 4, 2, 2, 4, 1, 3, 3, 2, 0, 2, 0, 0, 2, 2, 1, 1, 4, 4, 3, 3, 1, 1, 3, 0, 1, 4, 0, 0, 1, 0, 4, 4, 0, 3, 2, 0, 0, 2, 3, 2, 4, 1, 1, 0, 4, 1, 4, 4, 4, 3, 2, 0, 1, 2, 4, 3, 0, 3, 1, 4, 1, 3, 0, 1, 1, 2, 1, 2, 0, 1, 4, 0, 1, 4, 4, 4, 1, 4, 4, 4, 4, 2, 4, 4, 3, 2, 2, 0, 4, 4, 0, 0, 3, 4, 4, 3, 1, 2, 1, 2, 4, 1, 2, 2, 3, 3, 0, 2, 1, 2, 3, 2, 2, 3, 1, 3, 0, 0, 4, 1, 3, 0, 2, 2, 3, 1, 3, 2, 2, 3, 2, 1, 2, 3, 4, 1, 3, 2, 0, 4, 3, 1, 4, 4, 4, 2, 3, 4, 4, 3, 2, 0, 0, 4, 2, 4, 4, 4, 2, 3, 2, 0, 4, 0, 0, 0, 4, 1, 2, 0, 4, 0, 2, 2, 4, 0, 4, 1, 0, 2, 3, 4, 1, 3, 2, 1, 3, 2, 4, 4, 1, 3, 0, 3, 1, 0, 4, 0, 0, 2, 4, 3, 4, 1, 0, 4, 2, 0, 0, 1, 4, 0, 2, 4, 2, 4, 0, 0, 4, 1, 3, 1, 3, 1, 3, 1, 3, 2, 2, 3, 2, 0, 4, 1, 0, 3, 2, 0, 1, 1, 4, 0, 3, 1, 1, 1, 0, 4, 0, 0, 2, 0, 3, 3, 0, 3, 0, 1, 2, 4, 1, 3, 1, 3, 2, 0]
pubkeycol1657 = [0, 4, 1, 4, 3, 1, 2, 2, 3, 2, 1, 4, 0, 0, 4, 0, 2, 0, 4, 4, 0, 2, 0, 1, 1, 3, 0, 3, 0, 4, 0, 3, 4, 0, 2, 1, 4, 0, 1, 2, 3, 4, 4, 2, 4, 3, 3, 4, 4, 1, 2, 1, 1, 4, 4, 1, 1, 1, 0, 3, 4, 1, 3, 2, 2, 3, 4, 2, 2, 4, 3, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 4, 3, 1, 1, 1, 0, 1, 1, 2, 4, 4, 1, 4, 2, 2, 2, 0, 2, 2, 1, 2, 3, 0, 1, 1, 4, 4, 0, 0, 0, 1, 3, 0, 4, 3, 2, 4, 3, 1, 1, 2, 3, 1, 3, 1, 4, 2, 2, 0, 4, 0, 2, 0, 3, 3, 0, 1, 1, 3, 0, 4, 2, 0, 1, 0, 0, 4, 4, 1, 1, 0, 3, 1, 3, 4, 1, 0, 3, 2, 4, 1, 2, 0, 1, 2, 1, 1, 3, 4, 0, 0, 2, 3, 2, 0, 2, 3, 2, 3, 2, 1, 1, 4, 2, 3, 1, 1, 0, 4, 4, 3, 3, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 2, 2, 4, 4, 1, 3, 4, 4, 3, 1, 0, 3, 2, 3, 4, 0, 1, 0, 1, 4, 1, 1, 3, 1, 4, 2, 4, 4, 1, 3, 1, 2, 3, 0, 2, 4, 2, 1, 2, 4, 1, 0, 2, 3, 2, 0, 0, 2, 4, 0, 2, 4, 4, 0, 2, 4, 4, 2, 2, 0, 0, 1, 2, 3, 3, 1, 0, 4, 3, 4, 4, 2, 0, 3, 4, 2, 4, 3, 4, 4, 0, 2, 2, 3, 4, 2, 1, 3, 3, 2, 1, 3, 2, 4, 3, 4, 4, 2, 4, 0, 3, 2, 2, 4, 1, 3, 2, 2, 1, 2, 3, 4, 4, 0, 2, 0, 0, 4, 0, 3, 0, 4, 4, 3, 0, 0, 0, 3, 2, 4, 0, 3, 0, 2, 2, 2, 3, 1, 0, 0, 2, 1, 3, 3, 4, 3, 1, 0, 1, 0, 2, 4, 4, 1, 3, 1, 1, 2, 3, 4, 3, 4, 4, 4, 4, 4, 3, 0, 2, 0, 4, 0, 1, 4, 4, 1, 2, 4, 3, 3, 1, 1, 0, 0, 4, 2, 2, 0, 1, 3, 0, 1, 1, 4]
pubkeycol1658 = [0, 1, 2, 3, 3, 4, 0, 3, 1, 1, 1, 1, 4, 4, 0, 3, 0, 2, 4, 3, 1, 1, 3, 1, 3, 0, 2, 0, 2, 0, 2, 0, 4, 4, 0, 0, 4, 4, 4, 3, 3, 3, 1, 0, 0, 2, 0, 0, 4, 1, 0, 1, 3, 0, 1, 4, 2, 3, 4, 0, 2, 3, 4, 0, 1, 0, 0, 4, 4, 0, 2, 2, 4, 1, 2, 2, 3, 0, 2, 2, 4, 1, 0, 4, 2, 3, 0, 1, 0, 3, 4, 3, 3, 2, 3, 4, 4, 4, 4, 1, 3, 1, 3, 0, 0, 4, 1, 4, 0, 4, 3, 1, 1, 1, 3, 1, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 0, 1, 2, 1, 1, 2, 3, 1, 4, 2, 0, 3, 3, 0, 4, 4, 4, 4, 3, 2, 2, 1, 0, 3, 0, 3, 0, 4, 1, 1, 2, 2, 3, 1, 4, 1, 2, 0, 2, 2, 0, 3, 4, 0, 2, 3, 3, 2, 4, 1, 2, 2, 3, 1, 0, 1, 3, 1, 4, 0, 4, 1, 3, 2, 4, 1, 2, 0, 2, 1, 4, 0, 3, 1, 0, 0, 3, 0, 1, 3, 0, 3, 3, 0, 3, 0, 3, 2, 2, 4, 1, 3, 2, 3, 1, 4, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 3, 4, 1, 0, 1, 0, 3, 2, 2, 4, 2, 2, 1, 2, 4, 4, 3, 2, 3, 1, 3, 1, 4, 0, 2, 2, 0, 2, 4, 4, 1, 1, 3, 1, 0, 0, 3, 4, 4, 1, 3, 2, 3, 3, 0, 4, 2, 2, 3, 3, 4, 1, 3, 1, 3, 3, 1, 1, 0, 0, 0, 3, 1, 2, 4, 4, 1, 3, 1, 0, 4, 0, 3, 2, 3, 3, 2, 2, 2, 0, 4, 4, 4, 0, 2, 4, 3, 3, 2, 2, 2, 1, 2, 2, 3, 0, 4, 2, 0, 4, 1, 3, 2, 0, 2, 2, 4, 3, 0, 2, 1, 4, 3, 4, 2, 3, 4, 3, 0, 3, 4, 2, 2, 3, 4, 0, 4, 4, 2, 1, 4, 3, 4, 3, 2, 1, 3, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 3, 2, 0, 3, 2, 4, 0, 0, 1, 3, 1, 2, 3, 1, 2, 1, 3, 2, 4, 0, 4]
pubkeycol1659 = [1, 4, 0, 3, 0, 3, 4, 2, 3, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 3, 3, 1, 0, 4, 3, 3, 2, 4, 1, 4, 0, 2, 0, 0, 1, 3, 1, 3, 1, 4, 3, 0, 3, 3, 1, 2, 1, 0, 1, 0, 4, 1, 4, 2, 2, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 0, 2, 3, 1, 2, 2, 3, 0, 0, 3, 4, 4, 3, 3, 0, 0, 1, 3, 0, 1, 2, 3, 3, 2, 3, 4, 2, 3, 1, 1, 0, 0, 4, 4, 0, 4, 1, 2, 4, 2, 0, 2, 1, 0, 2, 1, 3, 1, 0, 3, 3, 3, 4, 1, 0, 4, 3, 0, 0, 1, 2, 3, 4, 4, 0, 0, 3, 4, 4, 2, 1, 3, 1, 2, 2, 1, 3, 3, 0, 3, 4, 3, 2, 3, 2, 1, 2, 1, 0, 3, 4, 1, 1, 3, 3, 0, 3, 4, 0, 0, 1, 2, 4, 4, 4, 1, 0, 3, 4, 3, 2, 0, 3, 3, 3, 2, 1, 3, 2, 3, 1, 3, 2, 2, 3, 4, 3, 0, 1, 0, 3, 2, 4, 0, 1, 1, 0, 1, 0, 0, 1, 3, 4, 0, 3, 4, 1, 0, 2, 0, 4, 1, 1, 0, 3, 1, 3, 4, 4, 4, 4, 3, 0, 4, 4, 0, 0, 4, 1, 3, 2, 1, 2, 2, 1, 4, 0, 0, 2, 4, 2, 0, 2, 1, 2, 2, 3, 3, 3, 2, 0, 1, 1, 3, 2, 3, 0, 1, 3, 2, 4, 1, 0, 0, 2, 0, 4, 2, 0, 2, 2, 4, 4, 0, 0, 0, 4, 3, 2, 1, 1, 3, 3, 1, 0, 1, 3, 4, 0, 4, 1, 0, 4, 1, 0, 3, 2, 4, 3, 0, 0, 4, 1, 4, 0, 3, 0, 3, 0, 1, 2, 2, 1, 4, 0, 4, 0, 1, 2, 4, 4, 3, 0, 0, 3, 3, 0, 4, 4, 4, 1, 1, 4, 2, 0, 3, 0, 1, 2, 2, 2, 4, 0, 4, 3, 2, 3, 4, 4, 3, 3, 3, 0, 0, 2, 4, 2, 3, 0, 2, 1, 3, 0, 3, 3, 3, 0, 3, 2, 4, 3, 1, 0, 3, 2, 0, 0, 2, 4, 1, 4, 0, 4, 3, 0, 1, 0, 0, 0, 4, 1, 0, 2, 3, 1]
pubkeycol1660 = [2, 4, 3, 2, 3, 2, 2, 4, 0, 1, 0, 3, 2, 4, 2, 1, 4, 0, 0, 0, 0, 0, 4, 4, 2, 2, 4, 4, 2, 0, 2, 0, 0, 1, 3, 4, 2, 1, 4, 4, 3, 0, 0, 0, 2, 2, 0, 1, 4, 2, 3, 3, 4, 2, 2, 3, 3, 0, 0, 1, 1, 4, 0, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 0, 0, 2, 2, 2, 0, 1, 0, 4, 1, 3, 1, 4, 2, 0, 4, 3, 3, 2, 4, 3, 1, 4, 4, 0, 0, 0, 3, 0, 3, 1, 2, 1, 0, 1, 3, 3, 3, 0, 3, 3, 1, 3, 1, 1, 1, 3, 1, 3, 4, 0, 1, 1, 2, 1, 4, 0, 4, 2, 4, 3, 2, 0, 4, 0, 0, 0, 2, 1, 3, 1, 4, 2, 3, 2, 1, 4, 1, 3, 2, 4, 0, 3, 2, 1, 0, 4, 4, 3, 2, 2, 1, 0, 3, 3, 3, 3, 2, 0, 0, 2, 2, 1, 3, 4, 0, 3, 0, 4, 1, 1, 2, 0, 1, 0, 3, 1, 3, 0, 4, 0, 1, 0, 4, 4, 4, 1, 0, 0, 4, 3, 3, 1, 0, 4, 3, 3, 1, 0, 3, 4, 2, 2, 1, 1, 4, 3, 4, 3, 3, 0, 1, 0, 0, 4, 2, 2, 0, 3, 0, 2, 4, 0, 2, 1, 4, 1, 4, 1, 0, 3, 4, 0, 4, 3, 0, 4, 2, 1, 3, 0, 3, 4, 0, 4, 2, 2, 1, 4, 4, 2, 0, 4, 4, 1, 2, 0, 2, 0, 3, 2, 4, 0, 2, 1, 2, 4, 1, 3, 2, 0, 4, 0, 2, 4, 4, 3, 0, 2, 3, 0, 1, 0, 3, 3, 3, 4, 3, 2, 0, 3, 0, 1, 1, 0, 4, 4, 3, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 4, 2, 3, 3, 0, 2, 0, 4, 0, 3, 2, 4, 2, 4, 2, 4, 0, 3, 1, 0, 3, 1, 3, 3, 1, 0, 0, 4, 4, 2, 0, 3, 4, 3, 3, 1, 2, 0, 1, 0, 1, 1, 4, 4, 3, 4, 2, 1, 0, 1, 2, 3, 2, 2, 2, 0, 1, 1, 2, 1, 2, 4, 4, 2, 3, 0, 4, 3, 2, 4, 0, 4, 0, 0, 0, 2, 2]
pubkeycol1661 = [1, 4, 4, 1, 1, 2, 2, 3, 0, 4, 1, 4, 4, 4, 2, 2, 1, 4, 0, 4, 2, 2, 1, 4, 1, 2, 3, 0, 2, 1, 2, 3, 3, 4, 3, 2, 2, 4, 4, 2, 1, 4, 3, 3, 0, 1, 3, 0, 4, 4, 3, 1, 0, 1, 4, 3, 2, 0, 1, 2, 2, 0, 3, 0, 0, 0, 2, 0, 2, 3, 0, 1, 4, 3, 4, 0, 2, 2, 4, 4, 4, 4, 3, 2, 4, 3, 2, 3, 3, 0, 2, 4, 0, 4, 2, 2, 1, 2, 2, 2, 2, 4, 0, 1, 2, 2, 1, 1, 2, 2, 3, 2, 0, 0, 3, 3, 3, 4, 3, 0, 0, 1, 1, 3, 4, 4, 4, 4, 2, 3, 2, 1, 1, 4, 3, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 3, 3, 2, 4, 1, 1, 2, 3, 2, 1, 0, 4, 1, 1, 4, 0, 4, 4, 0, 4, 0, 2, 1, 2, 2, 3, 4, 4, 0, 2, 1, 2, 2, 2, 4, 4, 2, 3, 4, 4, 1, 1, 0, 2, 1, 1, 0, 2, 3, 1, 2, 1, 1, 4, 0, 3, 0, 3, 3, 1, 0, 1, 2, 0, 0, 4, 1, 3, 1, 3, 2, 1, 2, 0, 2, 2, 3, 3, 1, 2, 2, 1, 0, 0, 0, 2, 3, 1, 1, 2, 4, 2, 2, 0, 3, 1, 1, 1, 4, 3, 0, 0, 1, 3, 1, 4, 4, 2, 0, 3, 0, 0, 0, 3, 1, 3, 3, 0, 2, 1, 4, 3, 4, 3, 4, 4, 2, 1, 0, 4, 1, 1, 3, 2, 4, 3, 1, 3, 4, 1, 0, 4, 1, 3, 3, 2, 0, 1, 4, 1, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 3, 3, 1, 1, 2, 0, 0, 1, 0, 1, 3, 4, 3, 1, 4, 2, 0, 2, 4, 3, 4, 4, 1, 1, 3, 0, 1, 0, 0, 3, 3, 0, 4, 4, 0, 2, 1, 0, 4, 3, 4, 3, 2, 4, 2, 0, 0, 4, 3, 4, 1, 2, 1, 1, 1, 3, 4, 0, 4, 3, 1, 4, 2, 2, 4, 3, 1, 3, 4, 0, 2, 4, 2, 3, 3, 4, 0, 1, 4, 3, 2, 0, 0, 2, 0, 4, 1, 4, 3, 0, 0, 1, 4, 2]
pubkeycol1662 = [3, 0, 3, 0, 4, 1, 4, 4, 4, 4, 1, 3, 0, 2, 4, 4, 2, 2, 1, 2, 3, 4, 2, 4, 4, 2, 1, 1, 2, 0, 4, 4, 0, 0, 2, 2, 2, 0, 4, 2, 1, 1, 4, 4, 4, 1, 4, 4, 1, 0, 0, 2, 3, 1, 0, 2, 4, 1, 4, 4, 4, 4, 4, 4, 1, 1, 0, 2, 3, 2, 1, 3, 2, 1, 1, 4, 0, 4, 1, 2, 3, 2, 0, 4, 2, 1, 0, 1, 1, 2, 4, 1, 2, 2, 3, 2, 3, 0, 4, 2, 4, 1, 1, 2, 3, 0, 2, 2, 3, 4, 0, 2, 3, 1, 4, 3, 2, 2, 4, 0, 4, 1, 0, 4, 4, 4, 3, 2, 4, 4, 2, 0, 3, 4, 0, 1, 0, 3, 1, 0, 1, 4, 0, 2, 1, 1, 3, 3, 1, 4, 4, 2, 1, 0, 1, 3, 2, 0, 0, 1, 0, 2, 0, 2, 3, 0, 1, 0, 4, 3, 0, 3, 1, 4, 4, 4, 4, 4, 3, 1, 2, 1, 0, 4, 0, 2, 4, 2, 3, 1, 3, 2, 0, 1, 3, 1, 1, 1, 4, 1, 0, 4, 3, 3, 0, 4, 4, 1, 4, 3, 4, 0, 2, 3, 1, 0, 1, 0, 3, 1, 4, 2, 2, 1, 0, 4, 0, 3, 1, 0, 3, 1, 2, 2, 0, 0, 4, 2, 3, 4, 0, 1, 4, 2, 3, 2, 1, 3, 4, 2, 1, 4, 1, 0, 4, 1, 3, 3, 4, 2, 2, 0, 4, 4, 2, 1, 2, 2, 3, 2, 3, 0, 1, 1, 0, 4, 0, 1, 2, 4, 2, 1, 4, 2, 4, 4, 3, 3, 3, 0, 0, 1, 1, 0, 0, 0, 4, 4, 2, 0, 4, 3, 0, 2, 2, 0, 4, 3, 4, 2, 0, 0, 1, 0, 2, 3, 1, 1, 1, 1, 3, 3, 3, 0, 4, 3, 0, 1, 2, 2, 4, 2, 3, 3, 1, 0, 4, 4, 0, 2, 0, 4, 0, 4, 3, 0, 3, 0, 3, 3, 4, 2, 3, 1, 3, 4, 0, 1, 4, 4, 2, 1, 1, 2, 3, 3, 1, 0, 1, 0, 0, 2, 3, 2, 3, 0, 0, 3, 0, 4, 1, 0, 3, 1, 0, 2, 1, 2, 0, 2, 1, 3, 1, 4, 3, 1, 0, 3, 2, 2]
pubkeycol1663 = [1, 3, 3, 4, 3, 1, 1, 4, 0, 1, 3, 2, 4, 0, 1, 3, 0, 3, 2, 0, 2, 0, 3, 4, 2, 0, 0, 4, 4, 2, 3, 1, 2, 4, 4, 4, 3, 4, 4, 4, 4, 0, 0, 1, 1, 4, 4, 3, 3, 2, 1, 4, 3, 2, 2, 3, 4, 2, 4, 1, 0, 3, 3, 0, 2, 3, 4, 3, 0, 4, 4, 2, 0, 2, 4, 4, 4, 4, 2, 4, 2, 2, 3, 0, 1, 0, 0, 3, 1, 1, 1, 0, 3, 0, 2, 2, 3, 0, 1, 1, 3, 3, 1, 0, 2, 2, 2, 4, 4, 1, 3, 1, 3, 3, 4, 0, 1, 4, 3, 3, 1, 1, 1, 0, 3, 1, 0, 2, 2, 2, 0, 2, 4, 2, 1, 2, 0, 3, 3, 2, 4, 2, 2, 4, 0, 1, 0, 3, 3, 4, 3, 3, 3, 2, 2, 4, 1, 4, 3, 0, 4, 3, 1, 4, 4, 0, 4, 2, 1, 1, 0, 4, 1, 0, 3, 0, 1, 4, 4, 2, 4, 2, 4, 3, 2, 3, 1, 2, 0, 1, 4, 2, 2, 0, 3, 1, 3, 0, 4, 2, 1, 4, 0, 3, 3, 0, 0, 4, 3, 3, 4, 0, 3, 4, 1, 4, 4, 2, 0, 3, 2, 0, 2, 4, 3, 1, 0, 3, 2, 3, 0, 4, 2, 3, 0, 1, 4, 0, 0, 1, 1, 1, 2, 0, 4, 2, 1, 3, 2, 2, 1, 1, 0, 4, 4, 2, 0, 1, 0, 1, 4, 2, 1, 1, 0, 1, 2, 1, 0, 4, 0, 1, 2, 2, 0, 2, 0, 2, 4, 2, 1, 3, 1, 2, 0, 3, 3, 3, 0, 3, 0, 1, 3, 4, 1, 0, 0, 4, 2, 2, 3, 0, 1, 0, 3, 4, 3, 1, 0, 2, 1, 2, 3, 3, 1, 2, 0, 2, 0, 3, 3, 4, 2, 3, 4, 2, 2, 2, 0, 1, 2, 2, 3, 0, 4, 3, 1, 1, 2, 0, 1, 3, 2, 3, 0, 3, 3, 2, 4, 4, 2, 0, 3, 4, 1, 3, 4, 2, 1, 1, 1, 3, 1, 1, 1, 4, 1, 3, 0, 4, 1, 2, 2, 2, 0, 4, 4, 1, 1, 0, 2, 4, 1, 2, 1, 0, 3, 4, 1, 1, 0, 1, 3, 1, 0, 1, 3, 2, 1, 3]
pubkeycol1664 = [1, 1, 2, 4, 2, 4, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 4, 2, 3, 3, 4, 3, 1, 1, 0, 0, 2, 2, 4, 3, 2, 4, 2, 0, 3, 2, 4, 4, 1, 1, 4, 0, 2, 4, 0, 1, 1, 2, 1, 3, 2, 0, 3, 1, 3, 0, 0, 2, 2, 0, 1, 0, 0, 1, 3, 4, 3, 2, 3, 1, 4, 4, 2, 2, 1, 2, 1, 3, 2, 0, 0, 1, 2, 3, 0, 0, 4, 2, 0, 4, 3, 1, 1, 0, 3, 1, 4, 2, 2, 3, 4, 4, 0, 1, 1, 1, 4, 2, 2, 1, 0, 1, 4, 0, 0, 1, 0, 3, 0, 3, 1, 1, 0, 0, 0, 0, 3, 3, 1, 3, 0, 1, 3, 3, 4, 0, 0, 3, 2, 2, 1, 0, 2, 1, 3, 3, 4, 1, 2, 3, 3, 0, 0, 3, 0, 0, 0, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 0, 0, 0, 2, 0, 3, 4, 4, 2, 1, 3, 1, 2, 1, 1, 4, 1, 2, 4, 1, 0, 1, 0, 2, 4, 4, 1, 4, 1, 3, 0, 1, 1, 2, 0, 4, 2, 4, 0, 4, 1, 1, 2, 2, 4, 0, 3, 4, 4, 4, 1, 1, 0, 4, 0, 3, 2, 3, 0, 1, 2, 4, 1, 0, 3, 0, 3, 3, 4, 2, 0, 3, 1, 0, 3, 0, 3, 0, 0, 0, 2, 3, 3, 4, 0, 3, 4, 2, 4, 4, 2, 2, 2, 0, 0, 4, 3, 1, 0, 1, 0, 2, 0, 2, 1, 2, 4, 2, 1, 1, 2, 4, 2, 4, 2, 3, 4, 2, 2, 2, 0, 3, 0, 4, 4, 0, 0, 4, 4, 0, 0, 3, 0, 2, 1, 4, 4, 2, 2, 3, 4, 3, 3, 4, 0, 2, 1, 0, 0, 1, 3, 0, 0, 3, 4, 0, 1, 3, 2, 3, 1, 0, 1, 0, 1, 4, 0, 3, 3, 3, 1, 2, 2, 1, 1, 4, 1, 4, 1, 2, 0, 1, 3, 0, 3, 1, 1, 0, 0, 4, 1, 0, 1, 1, 1, 2, 1, 0, 4, 2, 2, 4, 3, 0, 0, 3, 1, 3, 4, 1, 4, 4, 4, 2, 0, 3, 1, 0, 4, 2, 3, 1, 4, 3, 0, 3, 1, 4, 3, 2, 0]
pubkeycol1665 = [1, 1, 3, 1, 2, 4, 0, 0, 0, 3, 2, 1, 4, 3, 1, 2, 4, 3, 2, 4, 4, 4, 4, 0, 0, 3, 3, 1, 4, 3, 2, 1, 3, 2, 0, 2, 3, 2, 3, 1, 4, 4, 0, 4, 3, 3, 3, 4, 3, 1, 3, 3, 1, 0, 3, 3, 0, 3, 0, 3, 1, 0, 3, 2, 0, 3, 1, 0, 4, 4, 4, 3, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 4, 4, 1, 4, 1, 2, 1, 4, 2, 3, 0, 2, 1, 0, 0, 2, 1, 2, 3, 1, 0, 2, 4, 2, 3, 0, 1, 2, 1, 0, 1, 1, 4, 3, 3, 3, 4, 0, 3, 2, 4, 1, 3, 1, 2, 2, 4, 3, 3, 0, 1, 0, 3, 2, 0, 4, 3, 2, 4, 3, 1, 2, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 0, 3, 4, 4, 1, 0, 0, 0, 2, 2, 4, 4, 3, 2, 2, 0, 2, 2, 1, 2, 3, 2, 0, 3, 4, 2, 0, 3, 1, 4, 0, 3, 4, 3, 1, 2, 0, 3, 1, 3, 4, 3, 3, 3, 4, 3, 3, 0, 1, 4, 0, 3, 4, 1, 4, 4, 3, 0, 0, 0, 4, 0, 3, 2, 1, 3, 3, 2, 3, 1, 0, 1, 4, 1, 3, 2, 0, 0, 1, 1, 1, 2, 0, 0, 4, 3, 4, 2, 1, 2, 2, 1, 0, 3, 0, 1, 3, 0, 1, 2, 3, 1, 0, 2, 2, 2, 0, 3, 1, 0, 1, 3, 3, 0, 3, 0, 2, 4, 0, 4, 2, 4, 2, 0, 4, 0, 1, 1, 4, 2, 3, 0, 2, 4, 3, 4, 2, 4, 2, 2, 2, 2, 0, 4, 3, 3, 3, 2, 4, 3, 3, 2, 1, 0, 3, 0, 0, 1, 4, 2, 1, 0, 1, 1, 3, 4, 2, 4, 4, 0, 3, 0, 0, 3, 2, 1, 4, 1, 1, 3, 4, 1, 0, 2, 1, 4, 2, 4, 2, 4, 3, 3, 1, 1, 2, 4, 1, 1, 3, 2, 0, 4, 0, 0, 4, 0, 3, 0, 2, 0, 3, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 3, 3, 1, 2, 1, 3, 3, 4, 2, 3, 1, 3, 3, 3, 2, 3, 3, 3, 0]
pubkeycol1666 = [1, 1, 1, 1, 4, 4, 1, 2, 1, 3, 1, 1, 0, 3, 4, 4, 2, 1, 4, 2, 1, 1, 2, 4, 3, 3, 1, 2, 2, 0, 2, 2, 2, 1, 3, 0, 1, 4, 1, 2, 3, 4, 4, 2, 2, 3, 3, 2, 3, 2, 3, 0, 2, 4, 3, 3, 3, 3, 3, 3, 4, 3, 0, 4, 4, 2, 4, 3, 3, 0, 4, 2, 1, 1, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 2, 4, 2, 1, 2, 1, 0, 1, 1, 3, 0, 4, 2, 3, 4, 0, 1, 0, 3, 3, 4, 1, 4, 1, 0, 2, 0, 4, 0, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 4, 0, 3, 2, 2, 4, 2, 2, 2, 4, 0, 0, 1, 1, 3, 3, 4, 4, 2, 2, 2, 2, 3, 4, 4, 3, 0, 0, 0, 1, 2, 4, 4, 0, 3, 4, 1, 0, 0, 2, 1, 1, 2, 0, 3, 1, 1, 3, 4, 4, 0, 4, 0, 4, 2, 0, 4, 2, 3, 1, 0, 0, 2, 3, 1, 1, 3, 2, 2, 1, 4, 0, 4, 4, 2, 3, 0, 1, 1, 1, 3, 3, 2, 4, 2, 3, 0, 4, 3, 3, 2, 4, 3, 2, 1, 2, 1, 1, 0, 4, 0, 2, 1, 0, 0, 1, 2, 4, 2, 1, 4, 1, 1, 2, 4, 3, 0, 2, 2, 0, 4, 2, 4, 1, 0, 0, 4, 2, 2, 4, 0, 1, 0, 2, 0, 2, 4, 4, 0, 0, 1, 0, 3, 1, 2, 3, 3, 4, 0, 0, 2, 4, 2, 2, 2, 4, 1, 4, 4, 3, 2, 1, 2, 0, 1, 3, 1, 3, 1, 1, 3, 0, 3, 4, 2, 2, 0, 3, 3, 3, 4, 0, 4, 2, 4, 4, 1, 0, 2, 0, 0, 1, 1, 4, 3, 2, 2, 1, 1, 0, 3, 4, 3, 0, 4, 4, 4, 3, 3, 1, 4, 1, 2, 4, 2, 4, 2, 1, 2, 3, 2, 1, 0, 0, 0, 0, 3, 1, 1, 2, 1, 2, 2, 1, 3, 2, 4, 2, 4, 4, 2, 1, 2, 2, 1, 3, 2, 2, 3, 4, 2, 1, 3, 4, 0, 1, 3, 4, 1, 0, 2, 3, 3, 0, 0, 3, 4, 4, 3, 1, 0, 4, 0]
pubkeycol1667 = [2, 2, 4, 0, 2, 4, 0, 3, 3, 1, 3, 0, 2, 3, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 3, 2, 4, 1, 1, 4, 1, 4, 2, 2, 0, 3, 3, 1, 4, 4, 2, 1, 0, 4, 1, 2, 0, 4, 2, 2, 0, 4, 4, 3, 3, 0, 4, 4, 3, 2, 4, 0, 1, 2, 3, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 4, 0, 2, 2, 3, 4, 4, 3, 0, 0, 1, 4, 1, 2, 3, 4, 4, 0, 3, 1, 0, 2, 1, 0, 2, 2, 0, 4, 2, 3, 0, 2, 3, 2, 3, 2, 0, 0, 2, 3, 0, 2, 0, 0, 0, 0, 2, 4, 2, 3, 4, 2, 4, 2, 0, 1, 2, 3, 0, 2, 1, 4, 1, 3, 3, 3, 0, 3, 1, 4, 4, 3, 4, 0, 2, 2, 4, 2, 0, 2, 1, 2, 4, 1, 1, 4, 1, 3, 0, 0, 2, 3, 0, 1, 1, 0, 4, 1, 1, 4, 4, 0, 3, 0, 2, 2, 4, 2, 4, 2, 3, 0, 1, 4, 3, 1, 1, 0, 0, 4, 1, 4, 2, 3, 2, 0, 3, 3, 2, 3, 3, 1, 3, 1, 2, 0, 0, 4, 4, 0, 3, 2, 2, 0, 1, 4, 4, 4, 4, 2, 2, 0, 2, 3, 4, 3, 0, 0, 4, 3, 0, 1, 3, 0, 0, 3, 2, 4, 4, 4, 0, 2, 1, 3, 1, 0, 4, 2, 2, 0, 3, 1, 0, 4, 3, 2, 0, 1, 0, 3, 1, 4, 3, 3, 4, 3, 1, 1, 2, 0, 3, 3, 1, 4, 2, 4, 2, 4, 2, 3, 0, 4, 2, 1, 3, 2, 2, 3, 2, 0, 3, 1, 4, 3, 0, 2, 4, 0, 0, 3, 2, 1, 2, 3, 3, 0, 4, 1, 4, 1, 4, 1, 4, 0, 4, 2, 1, 4, 3, 3, 4, 0, 0, 0, 4, 3, 2, 3, 4, 3, 3, 2, 4, 0, 2, 3, 4, 4, 4, 0, 1, 2, 1, 1, 3, 3, 4, 2, 2, 2, 3, 2, 4, 1, 1, 2, 2, 0, 1, 1, 4, 1, 3, 3, 2, 1, 2, 1, 2, 1, 4, 0, 1, 4, 3, 3, 2, 4, 4, 1, 0, 0, 1, 4, 0, 1, 3, 4, 4, 4, 0, 2]
pubkeycol1668 = [4, 3, 3, 1, 4, 1, 1, 3, 1, 1, 4, 4, 0, 4, 4, 3, 2, 0, 2, 4, 1, 1, 2, 0, 3, 0, 4, 0, 2, 1, 2, 4, 1, 1, 0, 2, 4, 3, 2, 2, 0, 3, 2, 0, 0, 1, 4, 3, 2, 2, 3, 3, 1, 4, 2, 3, 1, 4, 2, 0, 2, 0, 3, 4, 1, 1, 1, 3, 3, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 4, 2, 2, 4, 2, 2, 1, 1, 4, 3, 1, 2, 4, 0, 3, 1, 3, 0, 3, 3, 4, 4, 0, 2, 0, 3, 3, 3, 1, 0, 3, 4, 1, 3, 3, 4, 1, 4, 2, 1, 2, 4, 0, 1, 0, 1, 4, 2, 0, 2, 0, 0, 3, 0, 4, 3, 1, 3, 2, 2, 1, 3, 2, 4, 4, 1, 2, 4, 1, 3, 4, 0, 0, 2, 1, 4, 0, 2, 4, 1, 3, 0, 3, 4, 0, 2, 2, 3, 2, 2, 3, 4, 1, 0, 1, 4, 0, 4, 4, 2, 2, 3, 3, 0, 1, 4, 0, 0, 3, 0, 4, 3, 4, 1, 2, 0, 3, 3, 4, 2, 3, 2, 2, 4, 2, 3, 0, 1, 0, 0, 0, 2, 4, 4, 2, 4, 3, 4, 2, 2, 2, 3, 3, 4, 1, 3, 0, 4, 2, 2, 0, 4, 3, 3, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 4, 1, 3, 2, 0, 4, 3, 0, 4, 4, 0, 4, 2, 0, 0, 1, 3, 4, 2, 0, 3, 4, 4, 3, 4, 1, 2, 1, 2, 0, 0, 1, 2, 4, 4, 1, 1, 1, 4, 1, 0, 0, 0, 1, 0, 4, 3, 0, 1, 0, 2, 2, 2, 1, 3, 0, 3, 1, 0, 3, 1, 2, 1, 3, 3, 3, 0, 4, 2, 1, 0, 0, 3, 0, 4, 3, 3, 2, 2, 2, 4, 4, 4, 0, 0, 4, 4, 1, 4, 1, 2, 2, 2, 4, 3, 2, 2, 4, 2, 1, 1, 2, 3, 4, 4, 3, 1, 1, 1, 3, 4, 3, 2, 0, 3, 0, 1, 4, 0, 0, 3, 3, 4, 4, 1, 1, 4, 0, 1, 3, 0, 2, 3, 1, 4, 1, 1, 0, 2, 0, 1, 3, 1, 3, 2, 1, 4, 4, 2, 1, 0, 4, 3]
pubkeycol1669 = [0, 4, 1, 3, 1, 0, 4, 1, 3, 3, 0, 2, 3, 3, 4, 1, 1, 4, 2, 1, 2, 0, 4, 2, 4, 2, 2, 0, 4, 3, 2, 3, 0, 3, 2, 0, 1, 1, 2, 1, 1, 3, 4, 2, 4, 3, 4, 1, 3, 1, 3, 2, 3, 0, 2, 1, 3, 2, 0, 4, 1, 2, 3, 0, 2, 0, 1, 4, 4, 1, 4, 0, 1, 1, 3, 4, 0, 4, 3, 2, 0, 1, 4, 4, 0, 4, 4, 4, 4, 1, 3, 2, 0, 2, 3, 2, 4, 1, 2, 0, 0, 0, 3, 0, 4, 1, 2, 0, 0, 0, 2, 3, 2, 3, 4, 4, 0, 0, 4, 4, 3, 1, 3, 1, 2, 3, 2, 3, 1, 1, 4, 1, 2, 3, 1, 3, 0, 3, 1, 2, 3, 4, 4, 4, 4, 2, 3, 2, 1, 3, 2, 3, 4, 1, 2, 3, 3, 4, 1, 3, 0, 4, 0, 0, 4, 1, 1, 4, 4, 3, 0, 2, 3, 0, 0, 2, 4, 2, 0, 3, 2, 3, 1, 0, 1, 0, 2, 0, 4, 4, 0, 1, 0, 1, 0, 3, 3, 0, 0, 1, 2, 3, 0, 3, 0, 2, 3, 0, 0, 4, 4, 2, 0, 4, 4, 1, 0, 0, 0, 4, 1, 4, 3, 1, 1, 4, 2, 1, 4, 1, 0, 4, 4, 4, 4, 4, 3, 4, 2, 1, 2, 0, 4, 1, 4, 4, 0, 0, 0, 1, 1, 2, 1, 4, 0, 3, 3, 0, 2, 1, 1, 2, 3, 3, 3, 0, 4, 1, 2, 3, 0, 2, 2, 3, 4, 0, 2, 0, 3, 4, 2, 4, 2, 4, 4, 1, 1, 3, 0, 3, 4, 2, 2, 4, 4, 0, 4, 1, 4, 2, 2, 0, 4, 2, 3, 3, 2, 3, 2, 2, 1, 0, 4, 1, 4, 2, 4, 0, 0, 3, 3, 3, 1, 4, 1, 0, 2, 0, 0, 2, 1, 4, 2, 0, 2, 1, 1, 4, 1, 0, 0, 0, 3, 0, 2, 2, 4, 2, 4, 0, 0, 3, 1, 4, 4, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 4, 0, 1, 0, 3, 2, 2, 3, 3, 1, 1, 0, 1, 0, 3, 4, 4, 1, 2, 2, 3, 1, 1, 3, 4, 0, 4, 4, 1, 1, 2, 3, 3, 4, 0]