kilobytes = 43.9889006547805
q = 3
m = 7
n = 1092
s = 0
t = 20
u = 40
k = 812
w = 30
ciphertext = [1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0]
recovered_plaintext_using_secret_key = True
pubkeycol280 = [2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0]
pubkeycol281 = [0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0]
pubkeycol282 = [0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1]
pubkeycol283 = [2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1]
pubkeycol284 = [1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1]
pubkeycol285 = [0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1]
pubkeycol286 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2]
pubkeycol287 = [0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1]
pubkeycol288 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1]
pubkeycol289 = [0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2]
pubkeycol290 = [0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1]
pubkeycol291 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2]
pubkeycol292 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2]
pubkeycol293 = [2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0]
pubkeycol294 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2]
pubkeycol295 = [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1]
pubkeycol296 = [1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0]
pubkeycol297 = [0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0]
pubkeycol298 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2]
pubkeycol299 = [0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0]
pubkeycol300 = [1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2]
pubkeycol301 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0]
pubkeycol302 = [2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2]
pubkeycol303 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2]
pubkeycol304 = [1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0]
pubkeycol305 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0]
pubkeycol306 = [0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2]
pubkeycol307 = [0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0]
pubkeycol308 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0]
pubkeycol309 = [2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1]
pubkeycol310 = [1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0]
pubkeycol311 = [2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2]
pubkeycol312 = [2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0]
pubkeycol313 = [2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1]
pubkeycol314 = [0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0]
pubkeycol315 = [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2]
pubkeycol316 = [1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1]
pubkeycol317 = [1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0]
pubkeycol318 = [0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2]
pubkeycol319 = [1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0]
pubkeycol320 = [2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2]
pubkeycol321 = [1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2]
pubkeycol322 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1]
pubkeycol323 = [2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0]
pubkeycol324 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1]
pubkeycol325 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1]
pubkeycol326 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1]
pubkeycol327 = [2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2]
pubkeycol328 = [1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2]
pubkeycol329 = [1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0]
pubkeycol330 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2]
pubkeycol331 = [2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1]
pubkeycol332 = [0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0]
pubkeycol333 = [1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2]
pubkeycol334 = [1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1]
pubkeycol335 = [1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0]
pubkeycol336 = [2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2]
pubkeycol337 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1]
pubkeycol338 = [0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2]
pubkeycol339 = [1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0]
pubkeycol340 = [2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1]
pubkeycol341 = [2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2]
pubkeycol342 = [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1]
pubkeycol343 = [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0]
pubkeycol344 = [1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1]
pubkeycol345 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0]
pubkeycol346 = [1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1]
pubkeycol347 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0]
pubkeycol348 = [2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0]
pubkeycol349 = [2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1]
pubkeycol350 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1]
pubkeycol351 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1]
pubkeycol352 = [2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1]
pubkeycol353 = [0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1]
pubkeycol354 = [0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2]
pubkeycol355 = [1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0]
pubkeycol356 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2]
pubkeycol357 = [1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2]
pubkeycol358 = [0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2]
pubkeycol359 = [0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2]
pubkeycol360 = [1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0]
pubkeycol361 = [0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2]
pubkeycol362 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2]
pubkeycol363 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2]
pubkeycol364 = [0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0]
pubkeycol365 = [1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1]
pubkeycol366 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1]
pubkeycol367 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2]
pubkeycol368 = [2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0]
pubkeycol369 = [2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0]
pubkeycol370 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2]
pubkeycol371 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2]
pubkeycol372 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1]
pubkeycol373 = [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2]
pubkeycol374 = [1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2]
pubkeycol375 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0]
pubkeycol376 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0]
pubkeycol377 = [0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1]
pubkeycol378 = [1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0]
pubkeycol379 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0]
pubkeycol380 = [0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2]
pubkeycol381 = [2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0]
pubkeycol382 = [2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0]
pubkeycol383 = [0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0]
pubkeycol384 = [1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2]
pubkeycol385 = [2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0]
pubkeycol386 = [1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1]
pubkeycol387 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1]
pubkeycol388 = [1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2]
pubkeycol389 = [2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1]
pubkeycol390 = [2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0]
pubkeycol391 = [0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2]
pubkeycol392 = [1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0]
pubkeycol393 = [1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2]
pubkeycol394 = [0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1]
pubkeycol395 = [0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0]
pubkeycol396 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0]
pubkeycol397 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1]
pubkeycol398 = [0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2]
pubkeycol399 = [2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0]
pubkeycol400 = [1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1]
pubkeycol401 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1]
pubkeycol402 = [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2]
pubkeycol403 = [0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2]
pubkeycol404 = [0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1]
pubkeycol405 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1]
pubkeycol406 = [1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2]
pubkeycol407 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2]
pubkeycol408 = [2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2]
pubkeycol409 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0]
pubkeycol410 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2]
pubkeycol411 = [0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2]
pubkeycol412 = [1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol413 = [1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0]
pubkeycol414 = [0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2]
pubkeycol415 = [0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0]
pubkeycol416 = [0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2]
pubkeycol417 = [2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1]
pubkeycol418 = [0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0]
pubkeycol419 = [0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1]
pubkeycol420 = [2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1]
pubkeycol421 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0]
pubkeycol422 = [1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0]
pubkeycol423 = [0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1]
pubkeycol424 = [1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0]
pubkeycol425 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2]
pubkeycol426 = [1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2]
pubkeycol427 = [2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2]
pubkeycol428 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1]
pubkeycol429 = [0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2]
pubkeycol430 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2]
pubkeycol431 = [2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0]
pubkeycol432 = [2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0]
pubkeycol433 = [0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2]
pubkeycol434 = [0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1]
pubkeycol435 = [1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2]
pubkeycol436 = [0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1]
pubkeycol437 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1]
pubkeycol438 = [2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0]
pubkeycol439 = [0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0]
pubkeycol440 = [2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2]
pubkeycol441 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0]
pubkeycol442 = [2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1]
pubkeycol443 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2]
pubkeycol444 = [0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0]
pubkeycol445 = [2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1]
pubkeycol446 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0]
pubkeycol447 = [0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0]
pubkeycol448 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2]
pubkeycol449 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2]
pubkeycol450 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2]
pubkeycol451 = [2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1]
pubkeycol452 = [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2]
pubkeycol453 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1]
pubkeycol454 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2]
pubkeycol455 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1]
pubkeycol456 = [0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0]
pubkeycol457 = [0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1]
pubkeycol458 = [2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2]
pubkeycol459 = [1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1]
pubkeycol460 = [0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0]
pubkeycol461 = [0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2]
pubkeycol462 = [2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1]
pubkeycol463 = [1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2]
pubkeycol464 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0]
pubkeycol465 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1]
pubkeycol466 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1]
pubkeycol467 = [1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2]
pubkeycol468 = [0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1]
pubkeycol469 = [0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0]
pubkeycol470 = [2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0]
pubkeycol471 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1]
pubkeycol472 = [2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1]
pubkeycol473 = [2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0]
pubkeycol474 = [1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2]
pubkeycol475 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0]
pubkeycol476 = [2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2]
pubkeycol477 = [2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0]
pubkeycol478 = [1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0]
pubkeycol479 = [1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1]
pubkeycol480 = [0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1]
pubkeycol481 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2]
pubkeycol482 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0]
pubkeycol483 = [1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0]
pubkeycol484 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2]
pubkeycol485 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2]
pubkeycol486 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2]
pubkeycol487 = [0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0]
pubkeycol488 = [0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0]
pubkeycol489 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2]
pubkeycol490 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0]
pubkeycol491 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0]
pubkeycol492 = [0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2]
pubkeycol493 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2]
pubkeycol494 = [1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1]
pubkeycol495 = [1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0]
pubkeycol496 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2]
pubkeycol497 = [0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1]
pubkeycol498 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1]
pubkeycol499 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1]
pubkeycol500 = [2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0]
pubkeycol501 = [0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1]
pubkeycol502 = [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0]
pubkeycol503 = [1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2]
pubkeycol504 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1]
pubkeycol505 = [2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0]
pubkeycol506 = [2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0]
pubkeycol507 = [1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0]
pubkeycol508 = [2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0]
pubkeycol509 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1]
pubkeycol510 = [2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1]
pubkeycol511 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1]
pubkeycol512 = [1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0]
pubkeycol513 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2]
pubkeycol514 = [0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0]
pubkeycol515 = [2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0]
pubkeycol516 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0]
pubkeycol517 = [2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0]
pubkeycol518 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1]
pubkeycol519 = [1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0]
pubkeycol520 = [1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0]
pubkeycol521 = [1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2]
pubkeycol522 = [2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0]
pubkeycol523 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0]
pubkeycol524 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1]
pubkeycol525 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1]
pubkeycol526 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0]
pubkeycol527 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1]
pubkeycol528 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0]
pubkeycol529 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1]
pubkeycol530 = [1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0]
pubkeycol531 = [0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0]
pubkeycol532 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1]
pubkeycol533 = [2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0]
pubkeycol534 = [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1]
pubkeycol535 = [0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1]
pubkeycol536 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2]
pubkeycol537 = [2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0]
pubkeycol538 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2]
pubkeycol539 = [2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2]
pubkeycol540 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1]
pubkeycol541 = [1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2]
pubkeycol542 = [1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2]
pubkeycol543 = [0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0]
pubkeycol544 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1]
pubkeycol545 = [1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0]
pubkeycol546 = [0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1]
pubkeycol547 = [2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1]
pubkeycol548 = [1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2]
pubkeycol549 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2]
pubkeycol550 = [0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2]
pubkeycol551 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1]
pubkeycol552 = [1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0]
pubkeycol553 = [1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0]
pubkeycol554 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1]
pubkeycol555 = [2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0]
pubkeycol556 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0]
pubkeycol557 = [0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2]
pubkeycol558 = [1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0]
pubkeycol559 = [2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2]
pubkeycol560 = [0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1]
pubkeycol561 = [0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2]
pubkeycol562 = [2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0]
pubkeycol563 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol564 = [0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2]
pubkeycol565 = [1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1]
pubkeycol566 = [0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0]
pubkeycol567 = [2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1]
pubkeycol568 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1]
pubkeycol569 = [0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0]
pubkeycol570 = [2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0]
pubkeycol571 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0]
pubkeycol572 = [2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1]
pubkeycol573 = [2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2]
pubkeycol574 = [0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2]
pubkeycol575 = [1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0]
pubkeycol576 = [2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2]
pubkeycol577 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1]
pubkeycol578 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2]
pubkeycol579 = [0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1]
pubkeycol580 = [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0]
pubkeycol581 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2]
pubkeycol582 = [0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0]
pubkeycol583 = [2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1]
pubkeycol584 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0]
pubkeycol585 = [1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0]
pubkeycol586 = [0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0]
pubkeycol587 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2]
pubkeycol588 = [2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0]
pubkeycol589 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0]
pubkeycol590 = [1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1]
pubkeycol591 = [0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1]
pubkeycol592 = [1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2]
pubkeycol593 = [0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2]
pubkeycol594 = [0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1]
pubkeycol595 = [2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2]
pubkeycol596 = [2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2]
pubkeycol597 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0]
pubkeycol598 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0]
pubkeycol599 = [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0]
pubkeycol600 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0]
pubkeycol601 = [0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2]
pubkeycol602 = [1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1]
pubkeycol603 = [0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2]
pubkeycol604 = [1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1]
pubkeycol605 = [1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2]
pubkeycol606 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0]
pubkeycol607 = [0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2]
pubkeycol608 = [1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1]
pubkeycol609 = [1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0]
pubkeycol610 = [2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0]
pubkeycol611 = [2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1]
pubkeycol612 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1]
pubkeycol613 = [2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0]
pubkeycol614 = [1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0]
pubkeycol615 = [1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1]
pubkeycol616 = [0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2]
pubkeycol617 = [1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1]
pubkeycol618 = [1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0]
pubkeycol619 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1]
pubkeycol620 = [2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0]
pubkeycol621 = [1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0]
pubkeycol622 = [0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1]
pubkeycol623 = [0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1]
pubkeycol624 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2]
pubkeycol625 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1]
pubkeycol626 = [0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0]
pubkeycol627 = [1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0]
pubkeycol628 = [1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0]
pubkeycol629 = [2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1]
pubkeycol630 = [2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0]
pubkeycol631 = [0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1]
pubkeycol632 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2]
pubkeycol633 = [2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0]
pubkeycol634 = [2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2]
pubkeycol635 = [2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1]
pubkeycol636 = [1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0]
pubkeycol637 = [0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2]
pubkeycol638 = [2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2]
pubkeycol639 = [2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1]
pubkeycol640 = [2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0]
pubkeycol641 = [1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1]
pubkeycol642 = [0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2]
pubkeycol643 = [1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1]
pubkeycol644 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2]
pubkeycol645 = [1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0]
pubkeycol646 = [0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2]
pubkeycol647 = [1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2]
pubkeycol648 = [1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0]
pubkeycol649 = [0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0]
pubkeycol650 = [2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0]
pubkeycol651 = [1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0]
pubkeycol652 = [1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2]
pubkeycol653 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0]
pubkeycol654 = [1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0]
pubkeycol655 = [2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0]
pubkeycol656 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0]
pubkeycol657 = [1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1]
pubkeycol658 = [0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0]
pubkeycol659 = [0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1]
pubkeycol660 = [2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0]
pubkeycol661 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1]
pubkeycol662 = [2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2]
pubkeycol663 = [0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1]
pubkeycol664 = [1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1]
pubkeycol665 = [1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2]
pubkeycol666 = [1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2]
pubkeycol667 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0]
pubkeycol668 = [1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2]
pubkeycol669 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2]
pubkeycol670 = [2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2]
pubkeycol671 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2]
pubkeycol672 = [1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2]
pubkeycol673 = [1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1]
pubkeycol674 = [0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1]
pubkeycol675 = [0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0]
pubkeycol676 = [0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2]
pubkeycol677 = [0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1]
pubkeycol678 = [2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1]
pubkeycol679 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0]
pubkeycol680 = [2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0]
pubkeycol681 = [1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0]
pubkeycol682 = [1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1]
pubkeycol683 = [2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0]
pubkeycol684 = [0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2]
pubkeycol685 = [1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1]
pubkeycol686 = [1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0]
pubkeycol687 = [1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0]
pubkeycol688 = [2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1]
pubkeycol689 = [0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2]
pubkeycol690 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0]
pubkeycol691 = [0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0]
pubkeycol692 = [2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2]
pubkeycol693 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1]
pubkeycol694 = [1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1]
pubkeycol695 = [0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0]
pubkeycol696 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1]
pubkeycol697 = [1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1]
pubkeycol698 = [0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0]
pubkeycol699 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2]
pubkeycol700 = [0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1]
pubkeycol701 = [0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0]
pubkeycol702 = [0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2]
pubkeycol703 = [2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2]
pubkeycol704 = [1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol705 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2]
pubkeycol706 = [2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0]
pubkeycol707 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1]
pubkeycol708 = [2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1]
pubkeycol709 = [2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0]
pubkeycol710 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2]
pubkeycol711 = [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1]
pubkeycol712 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0]
pubkeycol713 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2]
pubkeycol714 = [0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0]
pubkeycol715 = [1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1]
pubkeycol716 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0]
pubkeycol717 = [1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2]
pubkeycol718 = [0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1]
pubkeycol719 = [1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1]
pubkeycol720 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2]
pubkeycol721 = [0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1]
pubkeycol722 = [1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2]
pubkeycol723 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1]
pubkeycol724 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0]
pubkeycol725 = [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2]
pubkeycol726 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0]
pubkeycol727 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0]
pubkeycol728 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2]
pubkeycol729 = [0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0]
pubkeycol730 = [1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1]
pubkeycol731 = [1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0]
pubkeycol732 = [1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0]
pubkeycol733 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1]
pubkeycol734 = [1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2]
pubkeycol735 = [2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1]
pubkeycol736 = [1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2]
pubkeycol737 = [2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0]
pubkeycol738 = [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2]
pubkeycol739 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0]
pubkeycol740 = [1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0]
pubkeycol741 = [1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1]
pubkeycol742 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2]
pubkeycol743 = [0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2]
pubkeycol744 = [1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1]
pubkeycol745 = [0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2]
pubkeycol746 = [0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0]
pubkeycol747 = [2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1]
pubkeycol748 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2]
pubkeycol749 = [0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0]
pubkeycol750 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1]
pubkeycol751 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2]
pubkeycol752 = [1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2]
pubkeycol753 = [2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2]
pubkeycol754 = [2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2]
pubkeycol755 = [0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0]
pubkeycol756 = [2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2]
pubkeycol757 = [2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0]
pubkeycol758 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0]
pubkeycol759 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2]
pubkeycol760 = [1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2]
pubkeycol761 = [2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1]
pubkeycol762 = [2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2]
pubkeycol763 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1]
pubkeycol764 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1]
pubkeycol765 = [2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0]
pubkeycol766 = [1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0]
pubkeycol767 = [0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1]
pubkeycol768 = [1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0]
pubkeycol769 = [0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2]
pubkeycol770 = [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2]
pubkeycol771 = [1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0]
pubkeycol772 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0]
pubkeycol773 = [0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0]
pubkeycol774 = [2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1]
pubkeycol775 = [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1]
pubkeycol776 = [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0]
pubkeycol777 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2]
pubkeycol778 = [0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0]
pubkeycol779 = [0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2]
pubkeycol780 = [2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2]
pubkeycol781 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2]
pubkeycol782 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1]
pubkeycol783 = [2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2]
pubkeycol784 = [0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1]
pubkeycol785 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0]
pubkeycol786 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0]
pubkeycol787 = [1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1]
pubkeycol788 = [2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2]
pubkeycol789 = [0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1]
pubkeycol790 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2]
pubkeycol791 = [0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0]
pubkeycol792 = [1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2]
pubkeycol793 = [0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2]
pubkeycol794 = [2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2]
pubkeycol795 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2]
pubkeycol796 = [1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2]
pubkeycol797 = [2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0]
pubkeycol798 = [0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0]
pubkeycol799 = [1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0]
pubkeycol800 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0]
pubkeycol801 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2]
pubkeycol802 = [0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0]
pubkeycol803 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2]
pubkeycol804 = [2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2]
pubkeycol805 = [1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0]
pubkeycol806 = [2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2]
pubkeycol807 = [1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0]
pubkeycol808 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0]
pubkeycol809 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1]
pubkeycol810 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0]
pubkeycol811 = [2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2]
pubkeycol812 = [0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0]
pubkeycol813 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0]
pubkeycol814 = [1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0]
pubkeycol815 = [2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1]
pubkeycol816 = [1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0]
pubkeycol817 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1]
pubkeycol818 = [0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2]
pubkeycol819 = [1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1]
pubkeycol820 = [1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1]
pubkeycol821 = [1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1]
pubkeycol822 = [1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2]
pubkeycol823 = [2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1]
pubkeycol824 = [0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0]
pubkeycol825 = [1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1]
pubkeycol826 = [1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0]
pubkeycol827 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1]
pubkeycol828 = [1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0]
pubkeycol829 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0]
pubkeycol830 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2]
pubkeycol831 = [0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2]
pubkeycol832 = [1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0]
pubkeycol833 = [2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1]
pubkeycol834 = [0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0]
pubkeycol835 = [1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0]
pubkeycol836 = [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1]
pubkeycol837 = [2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0]
pubkeycol838 = [0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0]
pubkeycol839 = [1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2]
pubkeycol840 = [0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1]
pubkeycol841 = [2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0]
pubkeycol842 = [0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2]
pubkeycol843 = [0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0]
pubkeycol844 = [1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2]
pubkeycol845 = [0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2]
pubkeycol846 = [2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2]
pubkeycol847 = [2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2]
pubkeycol848 = [1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0]
pubkeycol849 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2]
pubkeycol850 = [2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2]
pubkeycol851 = [1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1]
pubkeycol852 = [0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0]
pubkeycol853 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0]
pubkeycol854 = [2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2]
pubkeycol855 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2]
pubkeycol856 = [1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1]
pubkeycol857 = [1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2]
pubkeycol858 = [1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2]
pubkeycol859 = [0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1]
pubkeycol860 = [1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1]
pubkeycol861 = [0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2]
pubkeycol862 = [0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2]
pubkeycol863 = [2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1]
pubkeycol864 = [1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2]
pubkeycol865 = [1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2]
pubkeycol866 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1]
pubkeycol867 = [1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1]
pubkeycol868 = [1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2]
pubkeycol869 = [2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0]
pubkeycol870 = [0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1]
pubkeycol871 = [0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0]
pubkeycol872 = [2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1]
pubkeycol873 = [1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2]
pubkeycol874 = [1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0]
pubkeycol875 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2]
pubkeycol876 = [0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1]
pubkeycol877 = [2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1]
pubkeycol878 = [2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0]
pubkeycol879 = [1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0]
pubkeycol880 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1]
pubkeycol881 = [2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1]
pubkeycol882 = [2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1]
pubkeycol883 = [2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2]
pubkeycol884 = [0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1]
pubkeycol885 = [2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2]
pubkeycol886 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0]
pubkeycol887 = [2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0]
pubkeycol888 = [2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0]
pubkeycol889 = [1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2]
pubkeycol890 = [1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2]
pubkeycol891 = [0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1]
pubkeycol892 = [1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2]
pubkeycol893 = [1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1]
pubkeycol894 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0]
pubkeycol895 = [2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2]
pubkeycol896 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1]
pubkeycol897 = [1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2]
pubkeycol898 = [1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1]
pubkeycol899 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0]
pubkeycol900 = [0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0]
pubkeycol901 = [1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0]
pubkeycol902 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2]
pubkeycol903 = [2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2]
pubkeycol904 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1]
pubkeycol905 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2]
pubkeycol906 = [1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1]
pubkeycol907 = [2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2]
pubkeycol908 = [0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2]
pubkeycol909 = [0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0]
pubkeycol910 = [2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0]
pubkeycol911 = [2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2]
pubkeycol912 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0]
pubkeycol913 = [0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0]
pubkeycol914 = [0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2]
pubkeycol915 = [2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2]
pubkeycol916 = [2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2]
pubkeycol917 = [2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2]
pubkeycol918 = [0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0]
pubkeycol919 = [1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0]
pubkeycol920 = [0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2]
pubkeycol921 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0]
pubkeycol922 = [1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0]
pubkeycol923 = [2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0]
pubkeycol924 = [1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1]
pubkeycol925 = [0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2]
pubkeycol926 = [0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1]
pubkeycol927 = [0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1]
pubkeycol928 = [1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0]
pubkeycol929 = [1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2]
pubkeycol930 = [2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1]
pubkeycol931 = [2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0]
pubkeycol932 = [1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1]
pubkeycol933 = [1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0]
pubkeycol934 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1]
pubkeycol935 = [0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0]
pubkeycol936 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1]
pubkeycol937 = [0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1]
pubkeycol938 = [0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1]
pubkeycol939 = [0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2]
pubkeycol940 = [1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2]
pubkeycol941 = [0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0]
pubkeycol942 = [2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0]
pubkeycol943 = [0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1]
pubkeycol944 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0]
pubkeycol945 = [0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2]
pubkeycol946 = [1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1]
pubkeycol947 = [0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2]
pubkeycol948 = [1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0]
pubkeycol949 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0]
pubkeycol950 = [1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1]
pubkeycol951 = [2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2]
pubkeycol952 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1]
pubkeycol953 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0]
pubkeycol954 = [0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0]
pubkeycol955 = [1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0]
pubkeycol956 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2]
pubkeycol957 = [2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1]
pubkeycol958 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0]
pubkeycol959 = [2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0]
pubkeycol960 = [0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1]
pubkeycol961 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0]
pubkeycol962 = [0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1]
pubkeycol963 = [0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2]
pubkeycol964 = [2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2]
pubkeycol965 = [0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2]
pubkeycol966 = [2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2]
pubkeycol967 = [1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0]
pubkeycol968 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1]
pubkeycol969 = [1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1]
pubkeycol970 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2]
pubkeycol971 = [0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0]
pubkeycol972 = [2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1]
pubkeycol973 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1]
pubkeycol974 = [2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0]
pubkeycol975 = [0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1]
pubkeycol976 = [2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2]
pubkeycol977 = [2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0]
pubkeycol978 = [0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2]
pubkeycol979 = [2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2]
pubkeycol980 = [0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2]
pubkeycol981 = [0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0]
pubkeycol982 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0]
pubkeycol983 = [2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1]
pubkeycol984 = [0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1]
pubkeycol985 = [0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0]
pubkeycol986 = [0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0]
pubkeycol987 = [2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1]
pubkeycol988 = [2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0]
pubkeycol989 = [1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0]
pubkeycol990 = [2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2]
pubkeycol991 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2]
pubkeycol992 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1]
pubkeycol993 = [2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0]
pubkeycol994 = [1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2]
pubkeycol995 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0]
pubkeycol996 = [2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0]
pubkeycol997 = [2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1]
pubkeycol998 = [1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2]
pubkeycol999 = [0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2]
pubkeycol1000 = [1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2]
pubkeycol1001 = [2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0]
pubkeycol1002 = [2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1]
pubkeycol1003 = [0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1]
pubkeycol1004 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1]
pubkeycol1005 = [1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0]
pubkeycol1006 = [1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0]
pubkeycol1007 = [1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1]
pubkeycol1008 = [1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0]
pubkeycol1009 = [2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2]
pubkeycol1010 = [0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0]
pubkeycol1011 = [1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1]
pubkeycol1012 = [2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2]
pubkeycol1013 = [2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0]
pubkeycol1014 = [2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2]
pubkeycol1015 = [2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1]
pubkeycol1016 = [2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1]
pubkeycol1017 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1]
pubkeycol1018 = [1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1]
pubkeycol1019 = [1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2]
pubkeycol1020 = [1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1]
pubkeycol1021 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2]
pubkeycol1022 = [0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1]
pubkeycol1023 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2]
pubkeycol1024 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1]
pubkeycol1025 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0]
pubkeycol1026 = [1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0]
pubkeycol1027 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1]
pubkeycol1028 = [2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1]
pubkeycol1029 = [0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2]
pubkeycol1030 = [2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0]
pubkeycol1031 = [2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0]
pubkeycol1032 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1]
pubkeycol1033 = [0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2]
pubkeycol1034 = [2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1]
pubkeycol1035 = [1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1]
pubkeycol1036 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2]
pubkeycol1037 = [0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0]
pubkeycol1038 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1]
pubkeycol1039 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2]
pubkeycol1040 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1]
pubkeycol1041 = [0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2]
pubkeycol1042 = [1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1]
pubkeycol1043 = [2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1]
pubkeycol1044 = [2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1]
pubkeycol1045 = [0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2]
pubkeycol1046 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0]
pubkeycol1047 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1]
pubkeycol1048 = [0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0]
pubkeycol1049 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1]
pubkeycol1050 = [0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1]
pubkeycol1051 = [2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1]
pubkeycol1052 = [0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2]
pubkeycol1053 = [0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2]
pubkeycol1054 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1]
pubkeycol1055 = [1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1]
pubkeycol1056 = [0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0]
pubkeycol1057 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0]
pubkeycol1058 = [1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2]
pubkeycol1059 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1]
pubkeycol1060 = [1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2]
pubkeycol1061 = [2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1]
pubkeycol1062 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1]
pubkeycol1063 = [1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0]
pubkeycol1064 = [1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1]
pubkeycol1065 = [1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0]
pubkeycol1066 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1]
pubkeycol1067 = [1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0]
pubkeycol1068 = [2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0]
pubkeycol1069 = [1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2]
pubkeycol1070 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0]
pubkeycol1071 = [2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1]
pubkeycol1072 = [2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1]
pubkeycol1073 = [2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1]
pubkeycol1074 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1]
pubkeycol1075 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0]
pubkeycol1076 = [0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0]
pubkeycol1077 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1]
pubkeycol1078 = [0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1]
pubkeycol1079 = [0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0]
pubkeycol1080 = [1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1]
pubkeycol1081 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1]
pubkeycol1082 = [1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1]
pubkeycol1083 = [0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1]
pubkeycol1084 = [0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0]
pubkeycol1085 = [2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1]
pubkeycol1086 = [0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0]
pubkeycol1087 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0]
pubkeycol1088 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2]
pubkeycol1089 = [1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1]
pubkeycol1090 = [1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2]
pubkeycol1091 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2]