kilobytes = 111.976671986984
q = 3
m = 7
n = 1798
s = 0
t = 30
u = 60
k = 1378
w = 45
ciphertext = [1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0]
recovered_plaintext_using_secret_key = True
pubkeycol420 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2]
pubkeycol421 = [0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2]
pubkeycol422 = [1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1]
pubkeycol423 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1]
pubkeycol424 = [1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0]
pubkeycol425 = [0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0]
pubkeycol426 = [0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1]
pubkeycol427 = [1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1]
pubkeycol428 = [1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1]
pubkeycol429 = [0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1]
pubkeycol430 = [0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1]
pubkeycol431 = [2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2]
pubkeycol432 = [1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1]
pubkeycol433 = [1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2]
pubkeycol434 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2]
pubkeycol435 = [0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1]
pubkeycol436 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1]
pubkeycol437 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1]
pubkeycol438 = [1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0]
pubkeycol439 = [2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1]
pubkeycol440 = [1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1]
pubkeycol441 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2]
pubkeycol442 = [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2]
pubkeycol443 = [1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1]
pubkeycol444 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0]
pubkeycol445 = [2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1]
pubkeycol446 = [2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1]
pubkeycol447 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2]
pubkeycol448 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2]
pubkeycol449 = [2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1]
pubkeycol450 = [0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1]
pubkeycol451 = [0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0]
pubkeycol452 = [2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1]
pubkeycol453 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0]
pubkeycol454 = [1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0]
pubkeycol455 = [0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1]
pubkeycol456 = [2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0]
pubkeycol457 = [2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0]
pubkeycol458 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1]
pubkeycol459 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2]
pubkeycol460 = [1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1]
pubkeycol461 = [0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1]
pubkeycol462 = [2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1]
pubkeycol463 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0]
pubkeycol464 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0]
pubkeycol465 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2]
pubkeycol466 = [0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0]
pubkeycol467 = [2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2]
pubkeycol468 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2]
pubkeycol469 = [0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2]
pubkeycol470 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1]
pubkeycol471 = [0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0]
pubkeycol472 = [0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2]
pubkeycol473 = [1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2]
pubkeycol474 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0]
pubkeycol475 = [2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2]
pubkeycol476 = [1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2]
pubkeycol477 = [2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0]
pubkeycol478 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0]
pubkeycol479 = [0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2]
pubkeycol480 = [0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1]
pubkeycol481 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0]
pubkeycol482 = [2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2]
pubkeycol483 = [0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1]
pubkeycol484 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2]
pubkeycol485 = [0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0]
pubkeycol486 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1]
pubkeycol487 = [2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1]
pubkeycol488 = [1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2]
pubkeycol489 = [0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0]
pubkeycol490 = [2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1]
pubkeycol491 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0]
pubkeycol492 = [0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0]
pubkeycol493 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0]
pubkeycol494 = [1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2]
pubkeycol495 = [1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2]
pubkeycol496 = [0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0]
pubkeycol497 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1]
pubkeycol498 = [2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0]
pubkeycol499 = [2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1]
pubkeycol500 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1]
pubkeycol501 = [0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0]
pubkeycol502 = [0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1]
pubkeycol503 = [0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2]
pubkeycol504 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0]
pubkeycol505 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2]
pubkeycol506 = [2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1]
pubkeycol507 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0]
pubkeycol508 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1]
pubkeycol509 = [1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0]
pubkeycol510 = [0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2]
pubkeycol511 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2]
pubkeycol512 = [1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1]
pubkeycol513 = [2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0]
pubkeycol514 = [0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2]
pubkeycol515 = [1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1]
pubkeycol516 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2]
pubkeycol517 = [2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2]
pubkeycol518 = [0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0]
pubkeycol519 = [2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1]
pubkeycol520 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0]
pubkeycol521 = [0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2]
pubkeycol522 = [2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0]
pubkeycol523 = [1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2]
pubkeycol524 = [1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0]
pubkeycol525 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2]
pubkeycol526 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1]
pubkeycol527 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2]
pubkeycol528 = [1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1]
pubkeycol529 = [0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0]
pubkeycol530 = [1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0]
pubkeycol531 = [1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1]
pubkeycol532 = [0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2]
pubkeycol533 = [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0]
pubkeycol534 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2]
pubkeycol535 = [1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1]
pubkeycol536 = [0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2]
pubkeycol537 = [1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2]
pubkeycol538 = [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1]
pubkeycol539 = [2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0]
pubkeycol540 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0]
pubkeycol541 = [0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0]
pubkeycol542 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0]
pubkeycol543 = [1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1]
pubkeycol544 = [0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0]
pubkeycol545 = [2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0]
pubkeycol546 = [0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2]
pubkeycol547 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0]
pubkeycol548 = [0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2]
pubkeycol549 = [0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2]
pubkeycol550 = [1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1]
pubkeycol551 = [2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1]
pubkeycol552 = [1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2]
pubkeycol553 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1]
pubkeycol554 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1]
pubkeycol555 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2]
pubkeycol556 = [1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2]
pubkeycol557 = [1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0]
pubkeycol558 = [1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0]
pubkeycol559 = [1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1]
pubkeycol560 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1]
pubkeycol561 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0]
pubkeycol562 = [2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0]
pubkeycol563 = [2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2]
pubkeycol564 = [1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0]
pubkeycol565 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0]
pubkeycol566 = [1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0]
pubkeycol567 = [0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1]
pubkeycol568 = [2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1]
pubkeycol569 = [1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2]
pubkeycol570 = [2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1]
pubkeycol571 = [1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2]
pubkeycol572 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0]
pubkeycol573 = [0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2]
pubkeycol574 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1]
pubkeycol575 = [0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1]
pubkeycol576 = [1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0]
pubkeycol577 = [2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2]
pubkeycol578 = [2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1]
pubkeycol579 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1]
pubkeycol580 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2]
pubkeycol581 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1]
pubkeycol582 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1]
pubkeycol583 = [1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1]
pubkeycol584 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2]
pubkeycol585 = [0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0]
pubkeycol586 = [1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0]
pubkeycol587 = [0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1]
pubkeycol588 = [0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1]
pubkeycol589 = [1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2]
pubkeycol590 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1]
pubkeycol591 = [0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0]
pubkeycol592 = [0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1]
pubkeycol593 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1]
pubkeycol594 = [1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0]
pubkeycol595 = [2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2]
pubkeycol596 = [0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0]
pubkeycol597 = [0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0]
pubkeycol598 = [2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2]
pubkeycol599 = [0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1]
pubkeycol600 = [2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0]
pubkeycol601 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2]
pubkeycol602 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2]
pubkeycol603 = [1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1]
pubkeycol604 = [1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2]
pubkeycol605 = [2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1]
pubkeycol606 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1]
pubkeycol607 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2]
pubkeycol608 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2]
pubkeycol609 = [1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1]
pubkeycol610 = [2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0]
pubkeycol611 = [0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2]
pubkeycol612 = [0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2]
pubkeycol613 = [2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0]
pubkeycol614 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1]
pubkeycol615 = [2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1]
pubkeycol616 = [2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0]
pubkeycol617 = [0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0]
pubkeycol618 = [2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0]
pubkeycol619 = [0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1]
pubkeycol620 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1]
pubkeycol621 = [2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2]
pubkeycol622 = [0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0]
pubkeycol623 = [1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0]
pubkeycol624 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1]
pubkeycol625 = [2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0]
pubkeycol626 = [2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2]
pubkeycol627 = [0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0]
pubkeycol628 = [2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0]
pubkeycol629 = [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1]
pubkeycol630 = [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0]
pubkeycol631 = [0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2]
pubkeycol632 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0]
pubkeycol633 = [2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1]
pubkeycol634 = [1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1]
pubkeycol635 = [2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2]
pubkeycol636 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0]
pubkeycol637 = [1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0]
pubkeycol638 = [2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2]
pubkeycol639 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2]
pubkeycol640 = [2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2]
pubkeycol641 = [0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1]
pubkeycol642 = [0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2]
pubkeycol643 = [1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2]
pubkeycol644 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2]
pubkeycol645 = [2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0]
pubkeycol646 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1]
pubkeycol647 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0]
pubkeycol648 = [0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1]
pubkeycol649 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0]
pubkeycol650 = [1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1]
pubkeycol651 = [2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0]
pubkeycol652 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1]
pubkeycol653 = [1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2]
pubkeycol654 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1]
pubkeycol655 = [2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1]
pubkeycol656 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2]
pubkeycol657 = [0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2]
pubkeycol658 = [1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0]
pubkeycol659 = [2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1]
pubkeycol660 = [2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0]
pubkeycol661 = [0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0]
pubkeycol662 = [0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2]
pubkeycol663 = [1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0]
pubkeycol664 = [2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1]
pubkeycol665 = [1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1]
pubkeycol666 = [2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2]
pubkeycol667 = [1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1]
pubkeycol668 = [2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2]
pubkeycol669 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2]
pubkeycol670 = [1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2]
pubkeycol671 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0]
pubkeycol672 = [0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2]
pubkeycol673 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2]
pubkeycol674 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2]
pubkeycol675 = [2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1]
pubkeycol676 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0]
pubkeycol677 = [2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1]
pubkeycol678 = [0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1]
pubkeycol679 = [2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1]
pubkeycol680 = [0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0]
pubkeycol681 = [0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2]
pubkeycol682 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2]
pubkeycol683 = [0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2]
pubkeycol684 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1]
pubkeycol685 = [1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2]
pubkeycol686 = [1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2]
pubkeycol687 = [2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2]
pubkeycol688 = [1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0]
pubkeycol689 = [1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2]
pubkeycol690 = [1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2]
pubkeycol691 = [1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0]
pubkeycol692 = [2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1]
pubkeycol693 = [2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1]
pubkeycol694 = [1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2]
pubkeycol695 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2]
pubkeycol696 = [1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1]
pubkeycol697 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1]
pubkeycol698 = [2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0]
pubkeycol699 = [0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0]
pubkeycol700 = [0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0]
pubkeycol701 = [1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1]
pubkeycol702 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1]
pubkeycol703 = [2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2]
pubkeycol704 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1]
pubkeycol705 = [1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1]
pubkeycol706 = [0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0]
pubkeycol707 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1]
pubkeycol708 = [1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1]
pubkeycol709 = [1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2]
pubkeycol710 = [0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1]
pubkeycol711 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1]
pubkeycol712 = [1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0]
pubkeycol713 = [0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0]
pubkeycol714 = [2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1]
pubkeycol715 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2]
pubkeycol716 = [2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1]
pubkeycol717 = [2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2]
pubkeycol718 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2]
pubkeycol719 = [0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2]
pubkeycol720 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0]
pubkeycol721 = [1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1]
pubkeycol722 = [1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2]
pubkeycol723 = [1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0]
pubkeycol724 = [1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1]
pubkeycol725 = [2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1]
pubkeycol726 = [2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0]
pubkeycol727 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0]
pubkeycol728 = [2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0]
pubkeycol729 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1]
pubkeycol730 = [1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2]
pubkeycol731 = [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0]
pubkeycol732 = [1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0]
pubkeycol733 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0]
pubkeycol734 = [0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0]
pubkeycol735 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0]
pubkeycol736 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1]
pubkeycol737 = [2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2]
pubkeycol738 = [0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0]
pubkeycol739 = [0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2]
pubkeycol740 = [2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0]
pubkeycol741 = [1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1]
pubkeycol742 = [0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1]
pubkeycol743 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0]
pubkeycol744 = [1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1]
pubkeycol745 = [1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0]
pubkeycol746 = [0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2]
pubkeycol747 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2]
pubkeycol748 = [0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0]
pubkeycol749 = [1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0]
pubkeycol750 = [0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0]
pubkeycol751 = [1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0]
pubkeycol752 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2]
pubkeycol753 = [0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1]
pubkeycol754 = [0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2]
pubkeycol755 = [1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0]
pubkeycol756 = [2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0]
pubkeycol757 = [1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1]
pubkeycol758 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2]
pubkeycol759 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2]
pubkeycol760 = [2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0]
pubkeycol761 = [0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0]
pubkeycol762 = [0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0]
pubkeycol763 = [1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1]
pubkeycol764 = [0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0]
pubkeycol765 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2]
pubkeycol766 = [2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1]
pubkeycol767 = [2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0]
pubkeycol768 = [2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2]
pubkeycol769 = [0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2]
pubkeycol770 = [0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0]
pubkeycol771 = [2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0]
pubkeycol772 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1]
pubkeycol773 = [2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0]
pubkeycol774 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2]
pubkeycol775 = [1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0]
pubkeycol776 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2]
pubkeycol777 = [1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1]
pubkeycol778 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2]
pubkeycol779 = [1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0]
pubkeycol780 = [2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1]
pubkeycol781 = [1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1]
pubkeycol782 = [0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2]
pubkeycol783 = [1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2]
pubkeycol784 = [2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2]
pubkeycol785 = [0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1]
pubkeycol786 = [0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1]
pubkeycol787 = [0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0]
pubkeycol788 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0]
pubkeycol789 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1]
pubkeycol790 = [0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0]
pubkeycol791 = [0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0]
pubkeycol792 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2]
pubkeycol793 = [2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2]
pubkeycol794 = [2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0]
pubkeycol795 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0]
pubkeycol796 = [2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0]
pubkeycol797 = [0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1]
pubkeycol798 = [2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1]
pubkeycol799 = [2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0]
pubkeycol800 = [0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2]
pubkeycol801 = [0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0]
pubkeycol802 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0]
pubkeycol803 = [2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2]
pubkeycol804 = [1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1]
pubkeycol805 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2]
pubkeycol806 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2]
pubkeycol807 = [1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0]
pubkeycol808 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2]
pubkeycol809 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2]
pubkeycol810 = [1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2]
pubkeycol811 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0]
pubkeycol812 = [1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2]
pubkeycol813 = [2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1]
pubkeycol814 = [1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1]
pubkeycol815 = [0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2]
pubkeycol816 = [0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1]
pubkeycol817 = [0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0]
pubkeycol818 = [1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0]
pubkeycol819 = [0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0]
pubkeycol820 = [1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2]
pubkeycol821 = [1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0]
pubkeycol822 = [2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1]
pubkeycol823 = [0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0]
pubkeycol824 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0]
pubkeycol825 = [0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2]
pubkeycol826 = [0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2]
pubkeycol827 = [1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1]
pubkeycol828 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2]
pubkeycol829 = [2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2]
pubkeycol830 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1]
pubkeycol831 = [0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2]
pubkeycol832 = [2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2]
pubkeycol833 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1]
pubkeycol834 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2]
pubkeycol835 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0]
pubkeycol836 = [0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2]
pubkeycol837 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0]
pubkeycol838 = [0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0]
pubkeycol839 = [1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1]
pubkeycol840 = [0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0]
pubkeycol841 = [2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2]
pubkeycol842 = [2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1]
pubkeycol843 = [0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0]
pubkeycol844 = [0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1]
pubkeycol845 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2]
pubkeycol846 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1]
pubkeycol847 = [0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2]
pubkeycol848 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1]
pubkeycol849 = [0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1]
pubkeycol850 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1]
pubkeycol851 = [0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1]
pubkeycol852 = [1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0]
pubkeycol853 = [1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0]
pubkeycol854 = [2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2]
pubkeycol855 = [2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2]
pubkeycol856 = [0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1]
pubkeycol857 = [0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2]
pubkeycol858 = [0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1]
pubkeycol859 = [0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1]
pubkeycol860 = [2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0]
pubkeycol861 = [1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1]
pubkeycol862 = [2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1]
pubkeycol863 = [0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0]
pubkeycol864 = [0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1]
pubkeycol865 = [2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1]
pubkeycol866 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0]
pubkeycol867 = [2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2]
pubkeycol868 = [1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0]
pubkeycol869 = [2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2]
pubkeycol870 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0]
pubkeycol871 = [1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2]
pubkeycol872 = [2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2]
pubkeycol873 = [2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1]
pubkeycol874 = [0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0]
pubkeycol875 = [0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2]
pubkeycol876 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2]
pubkeycol877 = [0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1]
pubkeycol878 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2]
pubkeycol879 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0]
pubkeycol880 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0]
pubkeycol881 = [0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1]
pubkeycol882 = [0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0]
pubkeycol883 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0]
pubkeycol884 = [2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2]
pubkeycol885 = [1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2]
pubkeycol886 = [0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2]
pubkeycol887 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0]
pubkeycol888 = [0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0]
pubkeycol889 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2]
pubkeycol890 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2]
pubkeycol891 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0]
pubkeycol892 = [0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0]
pubkeycol893 = [0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2]
pubkeycol894 = [1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1]
pubkeycol895 = [0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2]
pubkeycol896 = [2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2]
pubkeycol897 = [1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1]
pubkeycol898 = [2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2]
pubkeycol899 = [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0]
pubkeycol900 = [2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2]
pubkeycol901 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0]
pubkeycol902 = [1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1]
pubkeycol903 = [2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1]
pubkeycol904 = [2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1]
pubkeycol905 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0]
pubkeycol906 = [1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1]
pubkeycol907 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1]
pubkeycol908 = [2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0]
pubkeycol909 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1]
pubkeycol910 = [2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0]
pubkeycol911 = [0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2]
pubkeycol912 = [0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1]
pubkeycol913 = [2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0]
pubkeycol914 = [2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0]
pubkeycol915 = [0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2]
pubkeycol916 = [1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0]
pubkeycol917 = [2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0]
pubkeycol918 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2]
pubkeycol919 = [1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0]
pubkeycol920 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2]
pubkeycol921 = [1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0]
pubkeycol922 = [1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0]
pubkeycol923 = [2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0]
pubkeycol924 = [1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0]
pubkeycol925 = [0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0]
pubkeycol926 = [2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2]
pubkeycol927 = [2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1]
pubkeycol928 = [2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0]
pubkeycol929 = [1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2]
pubkeycol930 = [0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0]
pubkeycol931 = [0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0]
pubkeycol932 = [0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1]
pubkeycol933 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1]
pubkeycol934 = [1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0]
pubkeycol935 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2]
pubkeycol936 = [0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0]
pubkeycol937 = [0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1]
pubkeycol938 = [1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1]
pubkeycol939 = [2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0]
pubkeycol940 = [1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1]
pubkeycol941 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2]
pubkeycol942 = [2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1]
pubkeycol943 = [1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0]
pubkeycol944 = [2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1]
pubkeycol945 = [2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0]
pubkeycol946 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1]
pubkeycol947 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2]
pubkeycol948 = [0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0]
pubkeycol949 = [2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0]
pubkeycol950 = [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1]
pubkeycol951 = [2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1]
pubkeycol952 = [1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2]
pubkeycol953 = [2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0]
pubkeycol954 = [2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0]
pubkeycol955 = [0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0]
pubkeycol956 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0]
pubkeycol957 = [2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2]
pubkeycol958 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2]
pubkeycol959 = [2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1]
pubkeycol960 = [1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2]
pubkeycol961 = [0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0]
pubkeycol962 = [1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2]
pubkeycol963 = [2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1]
pubkeycol964 = [1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1]
pubkeycol965 = [2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2]
pubkeycol966 = [1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2]
pubkeycol967 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0]
pubkeycol968 = [2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1]
pubkeycol969 = [0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2]
pubkeycol970 = [0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1]
pubkeycol971 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0]
pubkeycol972 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0]
pubkeycol973 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2]
pubkeycol974 = [2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1]
pubkeycol975 = [1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1]
pubkeycol976 = [0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2]
pubkeycol977 = [1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1]
pubkeycol978 = [2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1]
pubkeycol979 = [2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2]
pubkeycol980 = [2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1]
pubkeycol981 = [0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2]
pubkeycol982 = [1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1]
pubkeycol983 = [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2]
pubkeycol984 = [1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0]
pubkeycol985 = [2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0]
pubkeycol986 = [1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1]
pubkeycol987 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2]
pubkeycol988 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0]
pubkeycol989 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0]
pubkeycol990 = [2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0]
pubkeycol991 = [0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2]
pubkeycol992 = [2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1]
pubkeycol993 = [2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2]
pubkeycol994 = [0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1]
pubkeycol995 = [0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1]
pubkeycol996 = [1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1]
pubkeycol997 = [0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1]
pubkeycol998 = [1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2]
pubkeycol999 = [0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1]
pubkeycol1000 = [0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2]
pubkeycol1001 = [0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0]
pubkeycol1002 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0]
pubkeycol1003 = [1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1]
pubkeycol1004 = [1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2]
pubkeycol1005 = [0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1]
pubkeycol1006 = [2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0]
pubkeycol1007 = [2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2]
pubkeycol1008 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0]
pubkeycol1009 = [2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2]
pubkeycol1010 = [0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1]
pubkeycol1011 = [2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1]
pubkeycol1012 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1]
pubkeycol1013 = [2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0]
pubkeycol1014 = [0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1]
pubkeycol1015 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2]
pubkeycol1016 = [0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0]
pubkeycol1017 = [0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0]
pubkeycol1018 = [1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2]
pubkeycol1019 = [0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2]
pubkeycol1020 = [1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2]
pubkeycol1021 = [2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0]
pubkeycol1022 = [0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0]
pubkeycol1023 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1]
pubkeycol1024 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2]
pubkeycol1025 = [1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0]
pubkeycol1026 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2]
pubkeycol1027 = [1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0]
pubkeycol1028 = [2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0]
pubkeycol1029 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1]
pubkeycol1030 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0]
pubkeycol1031 = [2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1]
pubkeycol1032 = [2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1]
pubkeycol1033 = [1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1034 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0]
pubkeycol1035 = [1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1]
pubkeycol1036 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2]
pubkeycol1037 = [2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1]
pubkeycol1038 = [1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2]
pubkeycol1039 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0]
pubkeycol1040 = [0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2]
pubkeycol1041 = [2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0]
pubkeycol1042 = [0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0]
pubkeycol1043 = [1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1]
pubkeycol1044 = [0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1]
pubkeycol1045 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0]
pubkeycol1046 = [1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2]
pubkeycol1047 = [0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2]
pubkeycol1048 = [2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1]
pubkeycol1049 = [2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0]
pubkeycol1050 = [2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0]
pubkeycol1051 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2]
pubkeycol1052 = [2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0]
pubkeycol1053 = [0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1]
pubkeycol1054 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2]
pubkeycol1055 = [0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0]
pubkeycol1056 = [2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1]
pubkeycol1057 = [0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1]
pubkeycol1058 = [0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2]
pubkeycol1059 = [0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2]
pubkeycol1060 = [0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2]
pubkeycol1061 = [1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2]
pubkeycol1062 = [1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0]
pubkeycol1063 = [2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2]
pubkeycol1064 = [2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2]
pubkeycol1065 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1]
pubkeycol1066 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2]
pubkeycol1067 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0]
pubkeycol1068 = [1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2]
pubkeycol1069 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2]
pubkeycol1070 = [1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0]
pubkeycol1071 = [1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0]
pubkeycol1072 = [2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0]
pubkeycol1073 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1]
pubkeycol1074 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1]
pubkeycol1075 = [1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0]
pubkeycol1076 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0]
pubkeycol1077 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1]
pubkeycol1078 = [2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1]
pubkeycol1079 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2]
pubkeycol1080 = [1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1]
pubkeycol1081 = [2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1]
pubkeycol1082 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0]
pubkeycol1083 = [2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2]
pubkeycol1084 = [1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2]
pubkeycol1085 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2]
pubkeycol1086 = [0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0]
pubkeycol1087 = [0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2]
pubkeycol1088 = [0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2]
pubkeycol1089 = [0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2]
pubkeycol1090 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2]
pubkeycol1091 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1]
pubkeycol1092 = [2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2]
pubkeycol1093 = [1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2]
pubkeycol1094 = [1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1]
pubkeycol1095 = [0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0]
pubkeycol1096 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0]
pubkeycol1097 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2]
pubkeycol1098 = [0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2]
pubkeycol1099 = [0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1]
pubkeycol1100 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2]
pubkeycol1101 = [1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0]
pubkeycol1102 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1]
pubkeycol1103 = [1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0]
pubkeycol1104 = [0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0]
pubkeycol1105 = [2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2]
pubkeycol1106 = [2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1]
pubkeycol1107 = [0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0]
pubkeycol1108 = [0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0]
pubkeycol1109 = [2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2]
pubkeycol1110 = [0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0]
pubkeycol1111 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0]
pubkeycol1112 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2]
pubkeycol1113 = [2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2]
pubkeycol1114 = [0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0]
pubkeycol1115 = [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0]
pubkeycol1116 = [1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1]
pubkeycol1117 = [2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0]
pubkeycol1118 = [2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1]
pubkeycol1119 = [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0]
pubkeycol1120 = [1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1]
pubkeycol1121 = [0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0]
pubkeycol1122 = [0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0]
pubkeycol1123 = [1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2]
pubkeycol1124 = [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0]
pubkeycol1125 = [0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0]
pubkeycol1126 = [2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1]
pubkeycol1127 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1]
pubkeycol1128 = [1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1]
pubkeycol1129 = [1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0]
pubkeycol1130 = [1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0]
pubkeycol1131 = [1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2]
pubkeycol1132 = [0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1]
pubkeycol1133 = [0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0]
pubkeycol1134 = [0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0]
pubkeycol1135 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0]
pubkeycol1136 = [0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1]
pubkeycol1137 = [1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1]
pubkeycol1138 = [1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1]
pubkeycol1139 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1]
pubkeycol1140 = [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1]
pubkeycol1141 = [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1]
pubkeycol1142 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2]
pubkeycol1143 = [0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2]
pubkeycol1144 = [0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0]
pubkeycol1145 = [2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1]
pubkeycol1146 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0]
pubkeycol1147 = [1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1]
pubkeycol1148 = [1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1]
pubkeycol1149 = [1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2]
pubkeycol1150 = [2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1]
pubkeycol1151 = [2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2]
pubkeycol1152 = [2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1]
pubkeycol1153 = [0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1]
pubkeycol1154 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1]
pubkeycol1155 = [0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0]
pubkeycol1156 = [1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1]
pubkeycol1157 = [0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0]
pubkeycol1158 = [2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2]
pubkeycol1159 = [1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0]
pubkeycol1160 = [0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1]
pubkeycol1161 = [1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1]
pubkeycol1162 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1]
pubkeycol1163 = [0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0]
pubkeycol1164 = [1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0]
pubkeycol1165 = [0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1]
pubkeycol1166 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1]
pubkeycol1167 = [2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0]
pubkeycol1168 = [0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0]
pubkeycol1169 = [1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2]
pubkeycol1170 = [0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0]
pubkeycol1171 = [2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1]
pubkeycol1172 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2]
pubkeycol1173 = [1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2]
pubkeycol1174 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0]
pubkeycol1175 = [1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1]
pubkeycol1176 = [2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2]
pubkeycol1177 = [1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2]
pubkeycol1178 = [0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2]
pubkeycol1179 = [2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0]
pubkeycol1180 = [1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2]
pubkeycol1181 = [1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol1182 = [0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1]
pubkeycol1183 = [1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0]
pubkeycol1184 = [0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0]
pubkeycol1185 = [0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0]
pubkeycol1186 = [2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2]
pubkeycol1187 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2]
pubkeycol1188 = [1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2]
pubkeycol1189 = [0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2]
pubkeycol1190 = [0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0]
pubkeycol1191 = [1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2]
pubkeycol1192 = [1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2]
pubkeycol1193 = [0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1]
pubkeycol1194 = [2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0]
pubkeycol1195 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2]
pubkeycol1196 = [0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0]
pubkeycol1197 = [0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1]
pubkeycol1198 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0]
pubkeycol1199 = [0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1200 = [0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1]
pubkeycol1201 = [1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0]
pubkeycol1202 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1]
pubkeycol1203 = [2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2]
pubkeycol1204 = [0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0]
pubkeycol1205 = [2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1]
pubkeycol1206 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0]
pubkeycol1207 = [1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2]
pubkeycol1208 = [2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0]
pubkeycol1209 = [1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2]
pubkeycol1210 = [0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2]
pubkeycol1211 = [2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0]
pubkeycol1212 = [1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2]
pubkeycol1213 = [1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2]
pubkeycol1214 = [1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0]
pubkeycol1215 = [0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1]
pubkeycol1216 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2]
pubkeycol1217 = [0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2]
pubkeycol1218 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2]
pubkeycol1219 = [0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0]
pubkeycol1220 = [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1]
pubkeycol1221 = [2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1]
pubkeycol1222 = [0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2]
pubkeycol1223 = [0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1]
pubkeycol1224 = [2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2]
pubkeycol1225 = [0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1]
pubkeycol1226 = [1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0]
pubkeycol1227 = [1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0]
pubkeycol1228 = [0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2]
pubkeycol1229 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0]
pubkeycol1230 = [1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1]
pubkeycol1231 = [0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0]
pubkeycol1232 = [1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1]
pubkeycol1233 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1]
pubkeycol1234 = [0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1]
pubkeycol1235 = [2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1]
pubkeycol1236 = [1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2]
pubkeycol1237 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2]
pubkeycol1238 = [0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2]
pubkeycol1239 = [1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1]
pubkeycol1240 = [1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0